Let d(z) = z**2 + 7*z + 6. Let p be d(-7). Suppose p*o - 4*o = 22. Calculate the remainder when s is divided by o.
9
Let t(s) = -s + 12. Let i be t(8). Suppose i*a + a - 50 = 0. What is the remainder when a is divided by 6?
4
Suppose -127 = -5*c - 32. Calculate the remainder when c is divided by 5.
4
Suppose -2*u = u + 2*y + 2, 2*u + 33 = 5*y. Let l be 1/(-4) + (-25)/u. Calculate the remainder when 26/l - 2/(-3) is divided by 2.
1
Let r(q) = q + 4. Let p(d) = -1. Let m(u) = -6*p(u) - r(u). Calculate the remainder when 23 is divided by m(-4).
5
Suppose 3*j - 6 - 27 = 0. Calculate the remainder when 20 is divided by j.
9
What is the remainder when (-39)/(-78) + (-107)/(-2) is divided by 11?
10
Let m = -37 - -62. Suppose 0 = -3*s - 2*s. Suppose -5*j + 3*j + 18 = s. What is the remainder when m is divided by j?
7
Let w(b) = 5*b + 8*b + 0*b - 9. Let a be w(6). Suppose -a = -5*l + 76. Calculate the remainder when l is divided by 16.
13
Let o(f) be the third derivative of f**4/6 + f**3/2 + 2*f**2. Let x = 11 - 1. What is the remainder when o(4) is divided by x?
9
What is the remainder when 11 is divided by (1 + 6*-1)*(-36)/45?
3
Suppose -5*k + 81 = -b + 2*b, 2*b = -8. What is the remainder when 33 is divided by k?
16
Let n(k) = 4*k**3 - 6*k**2 + 1. Let z(m) = -3*m**3 + 7*m**2 - 1. Let w(f) = -6*n(f) - 5*z(f). Let b = 6 - 7. Calculate the remainder when 17 is divided by w(b).
8
Let n = 23 - 13. Calculate the remainder when n is divided by 3.
1
Let l = 46 + 56. Calculate the remainder when l is divided by 26.
24
Suppose -5*q + 198 = -0*r - 4*r, -2*r + 174 = 4*q. What is the remainder when q is divided by 9?
6
Let f(o) = 22*o**2 + o. What is the remainder when f(-1) is divided by 3/2*132/18?
10
Suppose -5*r - 60 = -0*r. Let j = 22 + r. Suppose -5*q - c = -99, 3*c - 5*c + 103 = 5*q. What is the remainder when q is divided by j?
9
Suppose 0 = 5*f - 33 + 8. What is the remainder when 19 is divided by f?
4
Let p(q) = -6*q + 0*q + 10 + 2. Let r be p(-11). Suppose x = -2*x + r. Calculate the remainder when x is divided by 9.
8
Let f(v) = -v + 1. Let k be f(-2). Suppose -k*t = 11 - 32. What is the remainder when t is divided by 3?
1
Let b = 85 - 65. What is the remainder when b is divided by 13?
7
Suppose q + 3*b - 17 = b, -3*q + 3*b = -69. Calculate the remainder when 123 is divided by q.
18
Let b = 318 - 174. Suppose -3*n - b = -n. Let s = n + 104. What is the remainder when s is divided by 11?
10
What is the remainder when 49 - (4/(-2))/1 is divided by 26?
25
Let w(g) be the second derivative of g**4/12 - 7*g**3/3 + 15*g**2/2 + 5*g. What is the remainder when 5 is divided by w(13)?
1
Suppose 4*g + j + j = 44, 0 = -3*j - 12. Suppose 0 = 3*s - 7 - 8. Calculate the remainder when g is divided by s.
3
Suppose -225 = -4*u + y, 2*y = -4*u + 3*u + 45. Let o = 9 + -5. Suppose o*w - 95 = -w. What is the remainder when u is divided by w?
17
Let t = 112 - 51. What is the remainder when t is divided by 21?
19
Suppose -23 = -3*n - t + 55, 0 = -4*n + 5*t + 123. Let w be (5 - 2)*12 + 2. Let b = w - 24. What is the remainder when n is divided by b?
13
Calculate the remainder when 66 is divided by ((-230)/5)/(2/(-1)).
20
Let c(d) = d + 6. Let f be c(7). Let h = f - 5. Calculate the remainder when 29 is divided by h.
5
Let p be (-12)/20 - (-26)/10. Calculate the remainder when 17 is divided by 4*p - (-1 - -3).
5
Let k(p) = -p**2 - 4*p - 1. Let x be k(-2). Suppose -6 = -3*b - 3, -x*g = 3*b - 54. Calculate the remainder when 48 is divided by g.
14
Let o(x) be the third derivative of x**4/3 - x**3/3 + x**2. Suppose 5*v - 19 = -3*z, -z + 3*z - 2*v = 18. Calculate the remainder when o(3) is divided by z.
6
Let o be (1/1)/(1/3). Suppose -2*q = o*q - 65. What is the remainder when 36 is divided by q?
10
Let y = 7 + -5. Let h be (3/y)/((-9)/(-66)). Suppose -h = -w - 1. What is the remainder when 29 is divided by w?
9
Let m(o) = -o**3 - 6*o**2 - 5*o - 4. Let b be m(-6). Let v = 36 - b. What is the remainder when v is divided by 4?
2
Let a be (3 + -3)/(-4 + 2). Suppose 2*s - o - 11 = a, 1 = 2*s - s - 5*o. What is the remainder when 9 is divided by s?
3
What is the remainder when 11 is divided by ((-4)/3)/(10/(-45))?
5
Suppose -i + 13 = -14. Let p be 6/10 - 528/(-20). Let r = p + -13. Calculate the remainder when i is divided by r.
13
Let p(n) = 7*n**2 - 3*n + 6. Let a = -22 - -43. What is the remainder when p(3) is divided by a?
18
Suppose -d = 16 + 17. Let v = d - -46. Let j = 27 - v. Calculate the remainder when 27 is divided by j.
13
Let k = -14 + 14. Suppose k = -3*s - s + 76. Let x(l) = 5*l**2 - 7*l + 4. Calculate the remainder when x(4) is divided by s.
18
Suppose j = 4*j - 45. Calculate the remainder when 73 is divided by j.
13
Let g = 11 - 6. Let d(y) = 2*y**2 - 7*y + 5. Calculate the remainder when d(g) is divided by 11.
9
Suppose 3*u = -2*n + 2*u + 147, -5*u = -4*n + 259. Calculate the remainder when n is divided by 24.
23
Let j(c) = -c**2 + 13*c + 5. Let f be j(13). Suppose -6*z + f*z + 26 = 2*y, z - 32 = -4*y. What is the remainder when 78 is divided by z?
18
Suppose 4*r + 3 - 595 = 0. Calculate the remainder when (r/(-6))/((-4)/6) is divided by 13.
11
Let f(b) be the second derivative of b**3/3 + 2*b. What is the remainder when 26 is divided by f(7)?
12
Suppose 4*q - 2 = -38. Let x = 17 + q. What is the remainder when 13 is divided by x?
5
Suppose 0 = -3*o - 4*t - 54 + 1030, 327 = o + 3*t. Let p(k) = -k**3 + 2*k**2 + 2*k - 2. What is the remainder when o/30*10/4 is divided by p(-2)?
7
Suppose 59 = 3*w - 25. What is the remainder when w is divided by 10?
8
Suppose -2*y + 30 = -4*n, -4*y - 5*n - 55 = -180. Suppose -5*w - a = -0*a - 364, 4*w + 3*a - 289 = 0. Calculate the remainder when w is divided by y.
23
Let m = -23 - -31. Calculate the remainder when 58 is divided by (2/(m/60))/1.
13
Let g = -5 + 9. Suppose 0*p = -g*p + 68. Let z = 128 - 79. What is the remainder when z is divided by p?
15
Let p = -12 + 27. Let i be (-41)/(-2)*(-5 + 3). Let h = i + 69. What is the remainder when h is divided by p?
13
Let t(p) = -p**3 + 5*p**2 + 7*p + 8. Calculate the remainder when 67 is divided by t(6).
11
Suppose u - 23 = 18. Let c(t) = 3*t + 7 - 2*t - 4. What is the remainder when u is divided by c(11)?
13
Calculate the remainder when 0 + 112 + 1 + -2 is divided by 28.
27
Suppose 0 = 3*r - 1 - 2. Let p(z) = 22*z**3 - 2*z + 1. What is the remainder when p(r) is divided by 11?
10
Let n(h) = -h**2 + 7*h - 5. Let r be n(7). Suppose 4*s = -0*c - 4*c + 20, -c + 4*s = -15. Calculate the remainder when c is divided by 50/15*(-6)/r.
3
Suppose 9*x - 42 = 7*x. Calculate the remainder when x is divided by 12.
9
What is the remainder when 12 is divided by -8 - -6 - (1 + -7)?
0
Suppose 0 = -3*f - 2*m + 150, 0*f + 64 = f - 4*m. Let q = -20 + f. Let n(j) = 11*j**3 - j + 1. Calculate the remainder when q is divided by n(1).
10
Suppose 0*b + 3*j - 9 = 2*b, -j - 1 = -2*b. Let f(u) = u + 2. What is the remainder when 19 is divided by f(b)?
4
Let g = -367 + 544. Calculate the remainder when g/9 - 8/12 is divided by 7.
5
Let f(p) = p**3 + 14*p**2 + 11*p - 15. Let k = 11 - 24. Let d be f(k). Let m = -3 + d. Calculate the remainder when 22 is divided by m.
6
Suppose -6*k = -12*k + 204. What is the remainder when 119 is divided by k?
17
What is the remainder when (-24)/(-132) - ((-394)/11 + -1) is divided by 20?
17
Let c(a) be the second derivative of a**5/20 + a**4/12 - a**3/6 + 25*a**2/2 + 4*a. Calculate the remainder when c(0) is divided by 13.
12
Let d = -68 - -13. Let a = d + 94. Calculate the remainder when a is divided by 14.
11
Calculate the remainder when 52 is divided by (-10 - -9)/(2/(-38)).
14
Suppose s + 7*t = 3*t - 18, 3*s = -t - 32. Suppose 0 = -5*a - 34 + 109. Let x = s + a. What is the remainder when 8 is divided by x?
3
Let f = -61 + 67. Let g = 38 - 27. What is the remainder when g is divided by f?
5
Suppose 83 = 3*x - 5*l, -4*l = -4 + 20. Let r = 27 - 16. What is the remainder when x is divided by r?
10
Suppose 10 = v + 1. Calculate the remainder when v is divided by 3.
0
Let q(o) = o**2 - o + 2. Let s be q(0). Suppose -216 = -s*k - k. Suppose 5*g + 7 - k = 0. Calculate the remainder when 37 is divided by g.
11
Suppose 2*m = -m + 30. Calculate the remainder when m is divided by ((-1)