
Let r = 304 - 302. Let p(k) = k**3 - 6*k**2 + 6*k. Let b be p(5). Suppose b*g - 60 = -5*o + g, o + r*g - 6 = 0. Calculate the remainder when 46 is divided by o.
14
Let a be (-363)/22*8/(-6). Suppose 5*w + 7 = a. Suppose -s + w*s = 24. What is the remainder when 22 is divided by s?
10
Let s(r) be the third derivative of -5*r**4/24 + 3*r**3/2 - 8*r**2. Let o be s(-3). Suppose 2*m + m - o = 0. Calculate the remainder when 36 is divided by m.
4
Let p = -113 - -127. What is the remainder when p is divided by 2?
0
Let b(f) = 5*f - 27. Let s be b(5). What is the remainder when 21 is divided by ((-1)/(s/6))/((-6)/(-22))?
10
Suppose -13161 - 13929 = -70*s. Calculate the remainder when s is divided by 92.
19
Let c = -34 - -100. What is the remainder when 392 is divided by c?
62
Suppose -52 + 16 = -12*b. Let w(n) = 23*n + 1. What is the remainder when w(b) is divided by 29?
12
Let c = 21 + -8. Let w = c + -10. What is the remainder when 41 is divided by (w/(-6))/((-1)/22)?
8
Calculate the remainder when 2088 is divided by ((13 + -9)/(-4))/(1/(-41)).
38
Let c(y) = -21*y + 185. What is the remainder when 81 is divided by c(8)?
13
Let d be ((-8)/(-6) - -1)*-3. Suppose c - 11 = 3. Calculate the remainder when (14/d)/((-1)/13) is divided by c.
12
Let n(d) = d**2 + 14*d + 19. Let t be n(-15). Let f = 36 + -18. Suppose -f = -4*j + t. Calculate the remainder when j is divided by 8.
5
What is the remainder when 179 is divided by 9/(-243)*3 - 109/(-9)?
11
Suppose 9*n - 20 = 5*n. Suppose 4*d - 5*r = -r + 264, n*d + 2*r - 337 = 0. What is the remainder when d is divided by (34/(-3))/((-2)/3)?
16
Suppose -2*q + 260 = 4*b, 5*q - b - 641 = -2*b. Calculate the remainder when q is divided by (-263)/(-8) + (-22)/(-176).
29
Let u(q) = -q - 12. Suppose 3*s + 34 + 17 = -2*f, -2*s = -6. Calculate the remainder when 88 is divided by u(f).
16
Let o(a) = 7*a**2 - a - 2. Suppose -11 = -5*s - 21. Calculate the remainder when 109 is divided by o(s).
25
Suppose 0 = -8*p + 7*p - a + 13, 6 = -2*a. What is the remainder when p is divided by 9?
7
Let d(b) = b**3 + 22*b**2 - 76*b - 10. What is the remainder when 130 is divided by d(-25)?
10
Let q(h) = 141*h - 38. What is the remainder when q(2) is divided by 63?
55
Suppose -2*m = 3*m - 900. Let o = -8 + 13. Suppose z + o = 0, 2*z - 3*z = -5*r + m. Calculate the remainder when r is divided by 19.
16
Let g(j) = -10 + 4 + 4*j + 1 + j**2 - 5*j. Suppose b = 5*b - 24. Calculate the remainder when g(b) is divided by 7.
4
Suppose 5*o + 10 + 5 = 0. What is the remainder when (-1)/(24/(-16)*(-1)/o) is divided by 1?
0
Let w(u) = -u**3 + 10*u**2 - u + 12. Let n be w(10). Suppose 3*y = -2*g + 4*g + 47, y = -n*g + 21. Let h = y - 8. What is the remainder when 17 is divided by h?
8
Let u = 24 + -14. Suppose -2*a + u = q, 3*a = -0*a - 4*q + 20. Calculate the remainder when (-517)/(-4) + a/(-16) is divided by 33.
30
Let n(b) = -18*b + 570. Calculate the remainder when 57 is divided by n(31).
9
Let q(u) = -u**2 - 14*u - 9. Let m(w) = -w**2 - 16*w + 26. Let a be m(-18). Calculate the remainder when 121 is divided by q(a).
28
Suppose y - 88 = -2*j, 4*y - 190 = -5*j + 9*y. Suppose -4*g = -3*k + 25, 0*k + 85 = 4*k + 5*g. Calculate the remainder when j is divided by k.
12
Let k(z) = -z**2 + 12*z. Let t be k(11). Suppose 144 = t*p - 230. Suppose f + 6 = 2*x - 10, -2*x + 2*f + 14 = 0. What is the remainder when p is divided by x?
7
Suppose -5*y - 5*n - 140 = 0, -2*n + 16 - 162 = 5*y. Let o = y - -50. Calculate the remainder when o is divided by 11.
9
Let d = -57 - -85. What is the remainder when 98 is divided by d?
14
Let v(s) = -s**3 + 2*s + 2. Let p be v(0). Suppose -5*o - 3*k = -5*k - 115, 0 = -o + p*k + 23. What is the remainder when 41 is divided by o?
18
Let t be (-4)/(-16)*14*(-2)/1. What is the remainder when 9 is divided by 6 - 6/21 - 2/t?
3
Let k(n) = -139*n + 590. Calculate the remainder when k(-6) is divided by 57.
56
Let m = 178 + 102. Calculate the remainder when m is divided by 15.
10
Let n be 2 - 1/(-2)*0. Suppose -n*q - 2*q = -48. What is the remainder when 106 is divided by q?
10
Suppose 3*g = 2*k + k, 0 = 5*g - 15. Suppose -k*q = q. Suppose 4*c - 107 + 15 = q. What is the remainder when 90 is divided by c?
21
Suppose 0 = -4*x - 0*x + 5*v + 117, 2*x - 66 = 4*v. What is the remainder when x is divided by 14?
9
Let p(j) = 3*j - 4. Let y be p(10). Let f = y + -12. Calculate the remainder when 82 is divided by f.
12
Suppose -4*f + 2975 = -9*f. What is the remainder when (-2)/3 - f/15 is divided by (-28)/(-1)*(-3)/(-6)?
11
Suppose -3*x - 2*k + 31 = -0*k, -2*x + 30 = -k. What is the remainder when x is divided by 4?
1
Let l(w) = 5*w**2 + 11*w + 2. Let m(y) be the first derivative of 13*y**3 + y**2/2 - 2. What is the remainder when m(1) is divided by l(-3)?
12
Let a = -77 + 102. Let y = 55 - a. What is the remainder when 178 is divided by y?
28
Calculate the remainder when 670 is divided by 6/21 + (-247)/(-91) + 18.
19
Suppose 0 = -13*f + 6*f + 35. Suppose 5 = 4*b - 2*y - 65, -3*b = 5*y - 72. What is the remainder when b is divided by 3*4/6*f/2?
4
Suppose -8 = -4*m - 20. Let v(f) = f**2 + 9*f - 18. Let b be v(-6). What is the remainder when 4*m/(b/183) is divided by 16?
13
Calculate the remainder when (-75)/(-50)*(-772)/(-3) is divided by 66.
56
Suppose -4*f - f = -15. Let q be (-68)/(f + 44/(-12)). Suppose q = 6*p - 0*p. What is the remainder when 83 is divided by p?
15
Suppose -53 = -u - 26. Calculate the remainder when u is divided by 3/4 - (165/4)/(-5).
0
Let d(z) be the first derivative of 7*z**3/3 - 3*z**2/2 - 3*z - 15. Let c(i) = -i**3 + 11*i**2 - 8*i - 7. What is the remainder when c(8) is divided by d(-2)?
28
Let q(y) = -y**2 + 11*y + 17. Let l be q(13). Calculate the remainder when 48 is divided by 14 + -10 + l/(-1).
9
Suppose 4*x = -3*r + 148, -3*x - 15*r = -17*r - 128. What is the remainder when 113 is divided by x?
33
Let a(l) = -l**2 + 13*l - 27. Calculate the remainder when a(7) is divided by 9.
6
Let k be (-10)/(-5) + -1 - -12. Suppose -k = -6*l + 47. Calculate the remainder when 17 is divided by l.
7
Let w = -15 + 19. Let u = 14 - w. Calculate the remainder when 16 is divided by u.
6
Let u = 40 + -14. Let g(c) = 4*c**3 + c**2 - c. Let i be g(1). Suppose -36 = -4*w + 4*v, i*w = 3*v - 7*v + 36. What is the remainder when u is divided by w?
8
Suppose 5*v = -2*k + 18, -v - v = 4*k - 4. Let u = v - 8. What is the remainder when 17 is divided by 10/u*(-126)/35?
8
Calculate the remainder when -1 - -3 - (-2 - 7) is divided by 3.
2
Suppose 7*m = -32 + 109. Suppose 0 = 5*i + 3*v - 26, 2*i = -v + 7 + 3. Calculate the remainder when m is divided by i.
3
Calculate the remainder when 406 + -5 + -9 + 19 is divided by 33.
15
Suppose 0 = -2*w + f + 27, 2*f + 21 = w - 0*f. Suppose -5*m + 91 = 2*l, -31*m = 2*l - 36*m - 121. Calculate the remainder when l is divided by w.
9
Let d(i) = 5*i + 112. Calculate the remainder when 52 is divided by d(-14).
10
Suppose 0 = 20*h - h - 3876. What is the remainder when h is divided by 80?
44
Let z = -41 - -33. Calculate the remainder when 31 is divided by 2/z - (-148)/16.
4
What is the remainder when 1 + 15 - (-4)/2 is divided by 28/7*6/4?
0
Let q(t) = t + 2. Let m be q(-2). Suppose m = -5*u + 2*u - 123. Let z = u + 94. What is the remainder when z is divided by 14?
11
Let j(o) = 5*o + 5. Let h be 1/4 + (-46)/(-8). Let s(p) = -2*p**3 - 14*p**2 + 40*p + 321. What is the remainder when j(h) is divided by s(-6)?
8
Let b = -15 + 11. Let m be 1/(b*(-4)/64). Suppose m*w - 27 = 13. What is the remainder when 19 is divided by w?
9
Suppose 4*p = 9 + 15. Let o be p/(-21) + (-92)/(-28). Calculate the remainder when (o + 14/(-4))*-26 is divided by 7.
6
Suppose v - 131 = -4*c, 226 = 9*c - 2*c + 5*v. What is the remainder when 124 is divided by c?
25
Let a = 25 - 14. Suppose -7*u = 1 - 8. Suppose 124 - u = 3*b. What is the remainder when b is divided by a?
8
Let o be 0/(0 - (-3 + 5)). Let l(b) = -5 - 1 + 4*b + b**2 + o + 4. Calculate the remainder when l(-7) is divided by 11.
8
Suppose -893 - 1045 = -19*u. Calculate the remainder when u is divided by 8.
6
Let v = 21 + -1. Let r(z) = z**3 - 7*z**2 + 11*z - 10. Let p be r(7). Suppose -n + p = 9. What is the remainder when n is divided by v?
18
Let j(m) = -m**3 + 4*m**2 - 10*m 