*t. Let i(l) = l**3 + 8*l**2 - 11*l - 11. Calculate the remainder when 11 is divided by i(t).
4
Suppose 5*k + 26 = 216. Suppose 2*q = -k + 50. Calculate the remainder when 27 is divided by q.
3
Let o(x) = -57*x + 1. Suppose -a - 40 + 49 = -4*r, -5*a + 150 = r. What is the remainder when o(-2) is divided by a?
28
Let h = 16 + -41. Let f(q) = -13*q + 19. Let d be f(5). Let w = h - d. Calculate the remainder when w is divided by 11.
10
Let a(b) = b**3 + 18*b**2 - 20*b - 25. Let v be a(-19). What is the remainder when 30 is divided by (v - -3 - 1) + 8?
2
Let z(n) = 5. Let y(o) = -o + 6. Let s(w) = -2*y(w) + 3*z(w). Suppose -69*c + 288 = -57*c. Calculate the remainder when c is divided by s(3).
6
Let z(r) = r**3 + 4*r**2 + r. Let l be z(-2). Suppose -l*c + 3*c = -45. Calculate the remainder when 88 is divided by c.
13
Suppose 0*d = 2*d - 84. Suppose d + 36 = w. Calculate the remainder when w is divided by 27.
24
Let f(k) = -k**2 + 24*k - 57. Calculate the remainder when f(19) is divided by 23.
15
Let t = 37 - 38. Suppose 4*c - 154 = -2*a - 3*a, 0 = -5*c - 20. What is the remainder when 134*(8/4 + t) is divided by a?
32
Suppose -8*g = 31*g - 9516. What is the remainder when g is divided by 8?
4
Let l = -13 + 20. Let p = l + -7. Suppose p = -3*o + 5*o - 22. What is the remainder when 19 is divided by o?
8
Let t(p) = -p**3 - 6*p**2 - 7*p - 5. Let n be t(-5). Suppose -3*z + 156 = z + 4*x, z - 23 = -n*x. Calculate the remainder when z is divided by 12.
7
Let z = 49 + -41. Let p(h) = h**2 - 12*h - 17. Let f be p(15). Suppose -5*b + 3*r + 30 + f = 0, b - 18 = -r. Calculate the remainder when b is divided by z.
6
Let l(w) = -52 - w**3 + 14*w - w**2 + 6*w + 43 + 11*w**2. What is the remainder when l(11) is divided by 31?
28
Let g be 11/(165/10)*39. Let j = 38 - g. Calculate the remainder when 47 is divided by j.
11
Let g(d) be the first derivative of -d**2 - 2*d - 9. Let t be g(-5). Calculate the remainder when 15 is divided by t/(-3)*(-9)/6.
3
Calculate the remainder when 63 is divided by 7/(1*(-2)/(-2)).
0
Let r(b) = -b**3 - b**2 + 5*b + 6. Suppose 4*c + h - 6 - 1 = 0, c + 17 = -4*h. Suppose c = -k + 12. Calculate the remainder when k is divided by r(0).
3
Let q = -40 - 3. Let i = 62 + q. What is the remainder when i is divided by 7?
5
Calculate the remainder when 42 is divided by 660/(-88)*1*4/(-3).
2
Let c(m) = m**2 - 4*m - 16. Suppose -p + 2 = -1. Suppose p*v + 21 - 69 = 0. What is the remainder when c(11) is divided by v?
13
Let r = -134 - -181. What is the remainder when r is divided by 19?
9
Let c(y) = y - 1. Let s be c(9). What is the remainder when 112 is divided by s/14*133/2?
36
Let a = 321 + -172. Suppose 0 = -8*p + 1869 - 1629. What is the remainder when a is divided by p?
29
Suppose 5*h = -2*h + 140. Calculate the remainder when 79 is divided by h.
19
Let a(l) = -l**3 + 11*l**2 - 17*l + 16. Let c = -49 - -121. What is the remainder when c is divided by a(9)?
22
Suppose 132 - 20 = 4*r + 2*d, 0 = -4*r + d + 124. Calculate the remainder when r is divided by 8.
6
Let r = -3 + 4. Suppose -6*t - 3*f = -7*t - 12, 3*t + f - 14 = 0. What is the remainder when t is divided by r?
0
Suppose -3*w + w + 40 = 4*i, 2*w - 3*i - 47 = 0. Calculate the remainder when 40 is divided by w.
18
Suppose 2*w = 3*u - 18, -261*u = -257*u + 4*w - 44. Suppose -3*k + 132 = b + 23, -96 = -2*k + 4*b. Calculate the remainder when k is divided by u.
6
Suppose 5*z - 302 = 3*y, -z - 3*y = 4*z - 278. Let v = z - 31. Suppose -2*o + v = 5*c, 9*o - 4*o = 4*c + 18. Calculate the remainder when 16 is divided by o.
4
Let h(a) = -3*a - 56. Let y be h(-14). What is the remainder when (y - (0 + -5))*-5 is divided by 23?
22
Let w be 62/(-5)*(-80)/32. Let d = -26 + w. Calculate the remainder when 13 is divided by d.
3
Let u(q) = -3*q + 2. Let c be u(0). Suppose 2*d - c = 6. Calculate the remainder when d is divided by 26/6 - (-2)/(-6).
0
Let g = 722 - 705. Suppose 0 = x + 4*x - 10. Let f(h) = 7*h**3 - h**2 - 2. Calculate the remainder when f(x) is divided by g.
16
Let u be -2 - (4 + -8 + -58). Let q = u - 13. What is the remainder when 90 is divided by q?
43
Let r(d) = d**2 - 5*d - 3. Let b be (3 + -1 + 3/(-6))*2. Suppose 126 = b*q - 0*q. What is the remainder when q is divided by r(7)?
9
Suppose 5*q + 3*g - 54 = 0, 3*g - 18 = -q - 0*g. Suppose 2*z - 3*b = -18, 2*z - b + 18 = -3*b. Let u = 14 + z. Calculate the remainder when q is divided by u.
4
Calculate the remainder when (-16)/120 + 0 + 1054/30 is divided by (19 - 1)/(-2 + 3).
17
Let w = -23 - -33. Suppose 2 = -4*v + w, -2*q = -5*v + 26. What is the remainder when ((-1)/2)/(q/672) is divided by 9?
6
Let v = 133 + -77. Calculate the remainder when v is divided by ((-22)/(-5))/((-2)/(-10)).
12
Let d(g) = -5*g - 27. Let r be d(-9). Calculate the remainder when -110*6/r*(-12)/5 is divided by 15.
13
Let l = -115 + 118. Let u be (-23)/3 + (-1)/3. Let m = 2 - u. What is the remainder when m is divided by l?
1
Suppose 0 = 4*b - 20, -8*b = 3*r - 10*b - 353. What is the remainder when r is divided by 39?
4
Let l = -6 - 30. Calculate the remainder when 18 is divided by l/(-45) - 16/(-5).
2
Let k = -23 + 23. Suppose k = 9*r - 5*r - 20. Suppose -n - 2*u + 30 = n, 0 = -n + r*u - 3. What is the remainder when 47 is divided by n?
11
Suppose 5*v = 51 + 74. Suppose l = -x + v, 23 = -5*x - l + 128. What is the remainder when 37 is divided by x?
17
Let i = 236 + 77. Calculate the remainder when i is divided by 15.
13
Suppose 5*b = -39*b + 396. What is the remainder when 125 is divided by b?
8
What is the remainder when 124 is divided by (-464)/(-32)*(-2 - -1*4)?
8
Let i = 2257 + -2180. What is the remainder when 261 is divided by i?
30
Let d(p) = 5*p**2 - 11*p + 2. Let l(t) = t**2 - t. Let x(u) = d(u) - 4*l(u). Let v be 16/(-3)*3/(-2). Calculate the remainder when 27 is divided by x(v).
7
Let j be (-8)/28 + 79/7. Let p be -16*(-1)/(-3)*-3. Suppose 6*f - p = 2*f, -5*f + j = -u. Calculate the remainder when 35 is divided by u.
8
Let z(d) = -16*d - 52. What is the remainder when z(-7) is divided by 4?
0
Suppose -2*d = -13*d + 13838. What is the remainder when d is divided by 30?
28
Let l(z) = 33*z + 12. Let a be l(3). Let w = 123 - a. Let t(j) = j**3 - 5*j**2 - 4*j - 4. Calculate the remainder when w is divided by t(6).
4
Let c = -55 - -51. What is the remainder when 15 is divided by 18/24 + (-17)/c?
0
Let b(x) = 6*x**2 - 2*x + 1. Let d(c) be the first derivative of c**2/2 + 15*c + 14. What is the remainder when b(4) is divided by d(8)?
20
Let t(f) = 4*f - 22. Let a = 12 - 3. Let q = 14 - 9. Calculate the remainder when t(a) is divided by q.
4
Suppose -3092*k = -3099*k + 3122. What is the remainder when k is divided by 45?
41
Let s(x) = -41*x - 76. What is the remainder when s(-4) is divided by 14?
4
Let k(p) = p**2 + 13*p - 9. Let l be k(-14). Let f be 2/5 + 23/l. Suppose 0*r + 155 = f*r. Calculate the remainder when r is divided by 17.
14
Calculate the remainder when -95*(1 + 7/(-5)) is divided by (7 - 4 - -7) + -2.
6
Suppose -10*m = -925 - 1515. Suppose -5*j = -3*a - 403 + 85, -4*j = -5*a - m. What is the remainder when j is divided by 34?
32
Suppose -o - o + 14 = 0. Calculate the remainder when o is divided by (28/(-6))/7 - (-8)/3.
1
Let l be (-9)/1*(8/6)/(-2). Calculate the remainder when l/(-2) - -3 - (-48 - 0) is divided by 26.
22
Suppose -4*k + 968 = -328. What is the remainder when 28 is divided by k/33 + 2/11?
8
Let v(b) = 73*b + 31. Calculate the remainder when v(13) is divided by 82.
78
Suppose -4*s + 126 = -0*s - 2*p, -2*s + 48 = 2*p. Suppose 18*i - 32 = 14*i. Calculate the remainder when s is divided by i.
5
Let n(m) be the second derivative of -m**5/20 + 3*m**4/4 - m**3/6 + 10*m. Let j be n(8). Let y = j + -35. What is the remainder when 83 is divided by y?
20
Let z(x) = -37*x**3 + x**2 + 2*x + 89. Let r(u) = u**2 + 2*u - 6. Calculate the remainder when z(0) is divided by r(4).
17
Let g(s) = s**2 + 17*s + 19. Let c be g(-16). Suppose 5*b = 3*n - 127, 0 = c*n + 4*b - 2*b - 113. What is the remainder when n is divided by 14?
11
Suppose -2*r + 170 = 2*b - 3*b, r - 87 = b. Calculate the remainder when r is divided by (-21 + 20)/(1/(-28)).
27
Let v = -292 + 318. Calculate the remainder when v is divided by 6.
2
Let k(p) = p**3 - 10*p**2 - 12*p +