12
Suppose 2*o + 63 = 3*f, 2*f + 23 = 4*f + 5*o. Calculate the remainder when 111 is divided by f.
16
Let u(i) = -i + 5. Let s(m) = m + 8. Suppose -3*a = -29 - 7. Calculate the remainder when s(a) is divided by u(-6).
9
Suppose -3 = a - 2. What is the remainder when 51 is divided by -1*(-15 - -1) + a?
12
Suppose p - 431 = -4*k - 69, -2*k + 178 = -p. Calculate the remainder when k is divided by 7.
6
Let b(g) = 2*g**2 - 4*g - 3. Let k(z) = z - 8. Let y be k(6). Calculate the remainder when (-1)/y - 98/(-4) is divided by b(4).
12
Suppose -26*v = -21*v - 30. Calculate the remainder when 7 is divided by v.
1
Suppose -2*z = -5*b - 10 + 30, 0 = 2*b - 2*z - 14. Calculate the remainder when 6 is divided by b + 1 - 2/2.
0
Let t(x) = x**3 + x + 26. Suppose 2*y = 6*y. Calculate the remainder when t(y) is divided by 7.
5
Let h = -8 - -21. Let i = 6 + 44. Let z = i - 13. Calculate the remainder when z is divided by h.
11
Suppose 0 = 3*s - s + 4*q - 12, -3*s - 5*q = -20. Suppose 0*d = -5*d + s. What is the remainder when 4/((-2)/(-1)) - 0 is divided by d?
0
Let q = 9 + 21. Suppose d + 4*d = q. Calculate the remainder when d is divided by 4.
2
What is the remainder when 3/(-21)*-10*(0 - -7) is divided by 5?
0
Let a(g) = -g**3 + 18*g**2 - 15*g - 22. Let r(n) = -n + 7. Let o be r(0). Let v(d) = -d**2 + 8*d. What is the remainder when a(17) is divided by v(o)?
5
Suppose 0 = -4*a - 5 + 9. Suppose n = -0*n + a. Suppose -2*b = -7*b + 5. Calculate the remainder when n is divided by b.
0
Suppose 0*j + 36 = 4*j + 4*s, 0 = -j + 4*s - 11. Let i = -28 - -12. Calculate the remainder when (8/i)/(1/(-26)) is divided by j.
3
Suppose 0 = -t + 2*o - 5*o + 27, -o = -2*t + 54. Let v = 82 - t. Suppose -2*g + v = 3*g. Calculate the remainder when g is divided by 7.
4
Suppose 4*p - 69 = -m, 0 = -2*p - 3*m + 33 + 14. Let h = -22 + 31. What is the remainder when p is divided by h?
7
Let a = 20 + -2. Calculate the remainder when a is divided by 7.
4
Let n = -210 - -301. Calculate the remainder when n is divided by 19.
15
Suppose 6 = 4*k - 18. Suppose 0 = 78*f - 74*f - 60. What is the remainder when f is divided by k?
3
Let d = 30 + -5. What is the remainder when d is divided by 9?
7
Let t = -69 - -170. Calculate the remainder when t is divided by 17.
16
Suppose -5*u = 4*s - 239, 5*s = 2*u - 7*u + 305. What is the remainder when 131 is divided by s?
65
Let z = 3 + 0. Let v(r) = -2*r - 1. What is the remainder when v(-6) is divided by 2 + (1 - 2) + z?
3
Suppose 5*v + k + 2*k - 171 = 0, 2*v - 64 = k. Calculate the remainder when 98 is divided by v.
32
What is the remainder when 51 is divided by (1/(-2))/(12/(-312)) - 0?
12
Let m be 5/(50/(-4))*-5. Suppose -m*g = 5*n - 50, 3*n - g = -n + 40. What is the remainder when 17 is divided by n?
7
Let o(u) = 2*u**3 - 2*u**2 + 2*u - 2. Let c be o(3). Suppose 5*j - 76 = 4*m, -3*j + 5*j - 4*m - c = 0. What is the remainder when 45 is divided by j?
9
Let m(u) = -3 - 3*u + 1 + 2*u. Suppose 6*d = d - 15. Calculate the remainder when 2 is divided by m(d).
0
Let i = -43 + 55. Calculate the remainder when 21 is divided by i.
9
Suppose -132 = -4*j + 28. Let a = -11 + j. Suppose -2 = -l + 8. What is the remainder when a is divided by l?
9
Suppose -3*b + 2*b + 5 = -q, -2*q - 4*b - 28 = 0. What is the remainder when 15 is divided by (q/5)/((-1)/5)?
7
Let y(c) = c**2 + 6*c + 8. What is the remainder when 93 is divided by y(-8)?
21
Suppose -2*s + 19 = -95. What is the remainder when s is divided by 15?
12
Suppose 0 = -2*i + i. Suppose i = -3*y + 5 + 37. Calculate the remainder when 41 is divided by y.
13
Let o be (-1)/(-3) + 33/9. Let n(i) = 4*i - 1 + 3 - 6. What is the remainder when 34 is divided by n(o)?
10
Let n be (-34)/((-2)/10 - 0). Suppose 0 = 2*j - 32 - n. Calculate the remainder when j is divided by 26.
23
Suppose -3*y = -48 - 9. Let n = y + -6. What is the remainder when n is divided by 8?
5
Suppose 0*r + 22 = i - 3*r, 4*i + 3*r = 88. Suppose 7 = z - i. Calculate the remainder when 86 is divided by z.
28
Let f(v) = -7*v**3 + v. Let q be f(1). Let n be q/(-5)*10/3. What is the remainder when (n/(-2))/(4/(-74)) is divided by 13?
11
Let d(c) = 0 - 4*c + 6*c - 7 + 2*c. Let n = 13 - 8. Calculate the remainder when 25 is divided by d(n).
12
Let f(l) = l**3 + 6*l**2 + 6*l + 1. Let x be f(-5). Let t(y) = y**3 + 5*y**2 + y - 4. What is the remainder when 13 is divided by t(x)?
5
Suppose 4*b + 6 = -5*l - 1, 0 = 4*b - 3*l - 17. Suppose 0 = -4*y + 5*y - b. What is the remainder when 4 is divided by y?
0
Let p = 357 - 205. Suppose -z = -4*g - g - p, 0 = -5*g - 4*z - 167. Let u = g - -44. Calculate the remainder when u is divided by 4.
1
Let y be (-4)/22 + 39/33. What is the remainder when (2*-31)/(-2) - y is divided by 8?
6
Let t(u) = -u**2 + 6*u + 8. Let h(f) = f**3 + 4*f**2 + 3*f + 4. Let v be h(-3). Suppose -9 = i - v*i. What is the remainder when t(6) is divided by i?
2
Let c(s) = 2*s**2 - 4*s + 1. Let a be c(4). Suppose -a = -g + 7. What is the remainder when 70 is divided by g?
22
Suppose 128 = 3*p + 2. Let o = p + -29. What is the remainder when ((-17)/(-3))/(1/9) is divided by o?
12
Let d = 48 - 34. Calculate the remainder when 4/14 + 136/d is divided by 4.
2
Suppose i - 66 + 34 = 0. What is the remainder when i is divided by 5?
2
Suppose 61 = 5*f - 229. What is the remainder when f is divided by 15?
13
Calculate the remainder when (58/(-6))/(2/(-18)) is divided by 22.
21
Let l = 130 + -30. Let u = l - 25. Calculate the remainder when u is divided by 19.
18
Let m(f) = -f**3 + 24*f**2 - 22*f - 12. Calculate the remainder when 19 is divided by m(23).
8
What is the remainder when 4/(7 - 3) - -34 is divided by 1*((-76)/2)/(-2)?
16
Suppose l - 4*c = 7, 2*l + 5*c - 3 = -2. Suppose 24 = 5*z - 16. Calculate the remainder when z is divided by l.
2
Let d(q) = q**2 - 9*q + 17. Calculate the remainder when d(13) is divided by 24.
21
Calculate the remainder when 23 is divided by (1 - 1) + (-9)/(-6)*6.
5
Let q(a) = -a**2 + 4*a + 14. Let s be q(6). Suppose -23 + 1 = -s*l. Let f = 22 - -9. What is the remainder when f is divided by l?
9
Let a = 3 + -10. Let f = a - -16. Calculate the remainder when 35 is divided by f.
8
What is the remainder when 11 + (2 - 1)*(-2 + 5) is divided by 5?
4
Let g(k) = 11*k - 62. What is the remainder when g(25) is divided by 24?
21
Let g(z) = 2*z**3 - z**2 + z + 0*z**2 - 2 + 0 + z. What is the remainder when 2*(-1 + 21)*1 is divided by g(2)?
12
Let b = 38 - -69. Calculate the remainder when b is divided by 11.
8
Calculate the remainder when 57 is divided by (-10)/(15/6*2/(-10)).
17
Let c(v) = v**2 + 18*v + 2. Let m(b) = -b + 1. Let n(l) = -c(l) - 4*m(l). Calculate the remainder when n(-7) is divided by 11.
10
Let b(l) = l**3 + 15*l**2 + 13*l + 11. Calculate the remainder when 90 is divided by b(-14).
15
Suppose -3*r + r = 5*h - 150, -r - 150 = -5*h. Calculate the remainder when h is divided by 17.
13
Suppose -k = -0*k - 11. Suppose -4*y + k = -33. Calculate the remainder when y is divided by 4.
3
Let x be (-10)/8 + (-2)/(-8). Let p(c) = -c**2 - 2*c + 2. Let k be p(-3). Calculate the remainder when (x + k)*75/(-6) is divided by 9.
7
Suppose 0 = -3*y + 8*y - 3*i - 387, 0 = -2*i + 2. Calculate the remainder when y is divided by 21.
15
Suppose -5*p - 3 = -48. Let j(i) = -2*i - 15. Calculate the remainder when j(-15) is divided by p.
6
Suppose -5 = 4*q - 45. What is the remainder when q is divided by 4?
2
Let p be (5 - 11)/(6/(-4)). Calculate the remainder when (p/2)/((-14)/(-364)) is divided by 18.
16
Let q = 3 + 10. What is the remainder when 38 is divided by q?
12
Let j = 0 - 2. Let v = 1 - j. Suppose 5*b - 20 = 2*i, v*i = -2*b + 7*i + 8. What is the remainder when b is divided by 3?
1
Let k(b) be the second derivative of -b**4/12 + 19*b**3/6 - 4*b**2 + b. Let g be k(9). Suppose 4 = 2*q - g. What is the remainder when q is divided by 11?
10
Suppose -17 - 8 = -5*h. Let u = h + -5. Suppose u*m + m - 12 = 0. What is the remainder when m is divided by 7?
5
Let a(z) = -z + 1. Suppose -4*c + 11 + 17 = 0. Suppose -n + c*n = 6. What is the remainder when a(0) is divided by n?
0
Let c = -9 - -37. Calculate the remainder when 52 is divided by c.
24
Let l(m) = 2*m**2 - 5*m - 13. What is the remainder when l(-4) is divided by 8?
7
Suppose 0 = -5*t - 