
10
Let l(x) = 3*x**2 + x + 2. Suppose 2*i + 6 = 3*i. Let p = 5 + i. Calculate the remainder when l(3) is divided by p.
10
Suppose 319 = 5*g - 136. Let a = g + -41. Suppose 2*n + 2*p = -2*n + 72, p + 15 = n. Calculate the remainder when a is divided by n.
16
Let o be 80/6 + 7/(-21). Suppose -o*v + 11*v = -22. Suppose q - 12 = t + 2*t, 2*q + 2*t = 0. Calculate the remainder when v is divided by q.
2
Let s = 7 + -3. Suppose 0 = 2*y - 2 - 2. Calculate the remainder when s is divided by y.
0
Let n be ((-114)/4)/(3/(-4)). Suppose -g = g - n. Calculate the remainder when g - 0*(-1)/3 is divided by 7.
5
Let j(p) = p + 9. Calculate the remainder when j(12) is divided by 6.
3
Suppose -q + 78 = -3*q + 4*y, 0 = -5*q + 3*y - 181. Let c = q - -52. What is the remainder when 32 is divided by c?
15
Let j(u) = u - 1. Let a be j(7). Let d be (a/(-8))/(1/(-4)). Suppose -5 = -2*h + d*c, 3*h - 4*h + 4*c = 5. Calculate the remainder when 13 is divided by h.
6
Let f be (-156)/(-27) - 2/(-9). What is the remainder when (-4)/f*(-138)/4 is divided by ((-2)/6)/(3/(-54))?
5
Let t be (14/(-21))/((-2)/6). Suppose 0*u + u = -4*w + 164, -3*w + 118 = t*u. Calculate the remainder when w is divided by 9.
6
Suppose 3*x - 112 = -4*z, 3*z - 5*x - 97 = -4*x. Calculate the remainder when z is divided by 17.
14
Let o(k) = -k**3 + 5*k**2 + 5. Let h(u) = u + 3. Calculate the remainder when o(5) is divided by h(0).
2
Suppose -4*j - u + 12 = -0*u, -j - 2*u + 3 = 0. Suppose 2*s - 17 = -1. What is the remainder when s is divided by j?
2
Suppose 50 + 58 = 4*y. Suppose 0 = -7*i - 2*i + 63. Calculate the remainder when y is divided by i.
6
Let m = 25 + -20. Calculate the remainder when 17 is divided by m.
2
Suppose -3*p = -4*p - 1. Calculate the remainder when 30 is divided by -5 + 13 - (p - -1).
6
Suppose -3*h = -3*z + 75, -4*z + z + 45 = 3*h. Suppose -3*g = -z - 1. Suppose -6*b + 260 = 7*b. Calculate the remainder when b is divided by g.
6
Let n be ((-12)/(-14))/(3/21). Calculate the remainder when (12/8)/(n/20) is divided by 3.
2
Let t(l) = l - 4. Calculate the remainder when t(14) is divided by 3.
1
Let p(n) = 4*n - 4. What is the remainder when 40 is divided by p(5)?
8
Calculate the remainder when (-4)/30 + 4956/45 is divided by 25.
10
Let n(l) = 0*l**2 + l**3 + 8*l + 5*l**2 + 2*l**2 + 4. Calculate the remainder when n(-5) is divided by 5.
4
Let i = -4 + 69. Suppose -4*a + 0 = -12. Suppose 0*x - 77 = -5*o + 2*x, 4*o - 80 = -a*x. What is the remainder when i is divided by o?
14
Suppose -225 = 3*r + 2*r. What is the remainder when (-1008)/r - (-4)/(-10) is divided by 12?
10
Let s(j) = -2*j - 7. Let d be s(-7). Let m = -22 + d. Let z = m + 31. Calculate the remainder when 31 is divided by z.
15
Let x be (-28)/8 + (-1)/2. Calculate the remainder when (-5)/((-10)/x)*-1 is divided by 2.
0
Suppose -s - 3*s = -48. Let r be (-4)/12 + (-284)/(-6). Suppose -2*u - 3*c + r = 0, -6*c = -3*c - 3. Calculate the remainder when u is divided by s.
10
Let o(r) = -2*r - 10. Let h be o(-9). Let s(c) = c**3 - 9*c**2 + 11*c - 11. What is the remainder when s(h) is divided by 7?
6
Suppose 2*l - l - 17 = 0. Suppose 18 = 4*o + 2*x, 4*x - 15 = -4*o + 1. Let r = 4 + o. Calculate the remainder when l is divided by r.
8
Let v(c) = c - 1. Let m be v(6). Suppose -r = -m*r + 44. Let b = -80 - -123. Calculate the remainder when b is divided by r.
10
Suppose -39 = -5*n + 2*n. Let z(o) = -o**2 + 14*o - 15. Let f(m) = -m + 3. Let r be f(-7). Calculate the remainder when z(r) is divided by n.
12
Suppose -b + 8 = -3. Suppose 0 = -0*p - p + b. What is the remainder when 21 is divided by p?
10
Suppose 5 = t - 0*t. Suppose 3*w = t + 31. Calculate the remainder when w is divided by 7.
5
Suppose 0 = -f + 5*f + 12. Let z(o) = -9*o + 6. Let v(r) = -26*r + 19. Let t(x) = -2*v(x) + 7*z(x). What is the remainder when t(f) is divided by 13?
11
Let k(m) = -m + 9. Suppose -2*q + 12 = -0*q. What is the remainder when 9 is divided by k(q)?
0
Suppose 0 = 4*j - 6*j - 120. Let s = -14 - j. What is the remainder when s is divided by 16?
14
Suppose 189 = 10*v - 3*v. Suppose 3*n + 8 - 38 = 0. What is the remainder when v is divided by n?
7
Let t = -18 - -56. Suppose 0 = -4*n - u + 38, 0 = 3*n + 5*u - 2*u - 24. Calculate the remainder when t is divided by n.
8
Let o = -61 + 138. What is the remainder when o is divided by 20?
17
Let x(r) be the third derivative of r**6/120 - 7*r**5/60 - r**4/3 - 2*r**2. Let k be x(8). Suppose z + 5 - 12 = k. What is the remainder when z is divided by 4?
3
What is the remainder when 12/(-20) + (-313)/(-5) is divided by 21?
20
Let t(y) = y**3 - 2*y**2 - 3*y + 3. Let a be t(3). Suppose -4*n + 3*n + a*w + 19 = 0, w + 3 = 0. Let q = 74 + -36. What is the remainder when q is divided by n?
8
Let m be (-13)/(-3) + 1/(-3). Suppose -4*b + 3*b + j + 29 = 0, -m*j = 4*b - 100. What is the remainder when b is divided by 14?
13
Suppose -10*t + 156 = -394. Calculate the remainder when t is divided by 14.
13
Let c(p) = -8*p**2 + 8*p - 6. Let o be c(5). Let n = 5 - o. Suppose 6*h - 2*h - n = 3*u, 4*h - 4*u = 168. Calculate the remainder when h is divided by 12.
9
Let x(n) = -52 + 5*n + 31 + 25. What is the remainder when x(10) is divided by 14?
12
Suppose z + 5*w = -5, w + 3 = -z - 3*w. Calculate the remainder when 64 is divided by z.
4
Suppose -5*s + 23 = 3. Calculate the remainder when 9 is divided by s.
1
Let i = 0 + 2. Suppose 17*y - 20 = 13*y. Calculate the remainder when y is divided by i.
1
Suppose 4 + 1 = k. Suppose -5*x + x = 0. Suppose x = -3*v - w + 27, 5*v + 3*w - 49 = -0*w. Calculate the remainder when v is divided by k.
3
Let b be 1/4 - (-26)/(-8). Let a = 6 + b. Calculate the remainder when 9 is divided by a.
0
Let j(d) = 3*d**2 + 3*d - 3. Suppose -5*m - 3*g = -57 - 18, g = -m + 15. Calculate the remainder when j(-5) is divided by m.
12
Suppose -4*k = -7*k + 231. What is the remainder when k is divided by 20?
17
Let c = -5 + 6. Let p(o) = 13*o**2 - 1. Let v be p(c). Suppose 6*z - 4*z - v = 0. Calculate the remainder when 22 is divided by z.
4
Let y(j) be the third derivative of j**4/12 + 3*j**3/2 - 8*j**2. Let i = 0 + 7. What is the remainder when 44 is divided by y(i)?
21
Let t(s) = s**3 + 11*s**2 + 8*s - 5. Let p be t(-9). Calculate the remainder when 6 is divided by (-1)/4 + p/20.
2
Let o(d) = 3*d**2 - 2. Let a be -1*(1 - 0) + -1. What is the remainder when 29 is divided by o(a)?
9
Let s be (2 + -1)/((-3)/267). Let g = -54 - s. Calculate the remainder when g is divided by 9.
8
Let d be -2*((1 - 2) + -1). Suppose -d*j + 69 = -j. Calculate the remainder when j is divided by 12.
11
Calculate the remainder when (-2)/(-18)*3 + (-231)/(-9) is divided by 15.
11
What is the remainder when 0 - -81 - 70/14 is divided by 13?
11
Let v be -3*1/3*1. What is the remainder when (-12 - v)/((-1)/2) is divided by 5?
2
Let m = 0 - -5. Suppose m*d - 4*d = 10. What is the remainder when d is divided by 6?
4
Suppose 37 = 4*f - 3*x + 4*x, -5*f + 3*x = -42. Let q = 13 - f. Calculate the remainder when 5 is divided by q.
1
Let r(k) = 2*k + 17. What is the remainder when 64 is divided by r(0)?
13
Suppose -g + 57 = 2*g. Calculate the remainder when g is divided by (-58)/(-8) + 1/(-4).
5
Suppose 4*l = 4*i + 96, 13 = 3*l + 4*i - 24. Calculate the remainder when l is divided by 7.
5
Suppose 0 = h - k - 1, -2*h + 3*k + 3 + 0 = 0. Suppose -2*j + 4*j - 12 = h. What is the remainder when j is divided by 4?
2
Let a = 27 + 5. What is the remainder when 93 is divided by a?
29
Suppose l = 4 + 8. Calculate the remainder when 20 is divided by l.
8
Let b = 1 + 11. Let g(i) be the third derivative of i**6/40 + i**5/15 - i**4/8 + i**3/6 - 4*i**2. Calculate the remainder when g(2) is divided by b.
11
Let s = 47 + -29. What is the remainder when s is divided by 10?
8
Let t = -47 - -48. Suppose -4*y = -3*y - i + 5, 0 = -4*y + 3*i - 24. What is the remainder when (-4)/(-18) + (-7)/y is divided by t?
0
Suppose 41 - 1 = 2*s. Suppose -d = -8 - s. Suppose -2*f + 0*f = -d. What is the remainder when 26 is divided by f?
12
Suppose -5*w = -10, m + 0*m + 2*w = 15. Calculate the remainder when 32 is divided by m.
10
Let c = -7 - -9. Suppose 0 = c*s - 1 - 9, -k - 5*s + 27 = 0. Suppose 6*q - 20 = k*q. Calculate the remainder when 19 is divided by q.
4
Let o(y) = -y - 