 4*x = 545. Suppose -5*c - 4*a + x = 0, 3*c - 3*a + 2*a - 79 = 0. Calculate the remainder when c is divided by 14.
11
Suppose -2*v = 3*v - 140. What is the remainder when v is divided by 16?
12
Let x(i) = i**2 - 3*i + 1. Let j be 3/6*(-58 - 2). What is the remainder when j/(1*(-3 - -2)) is divided by x(5)?
8
Suppose -5*j = -2 - 23. Let k(y) = y**3 - 6*y**2 - 3*y + 4. Let a be k(j). Let i = -12 - a. What is the remainder when i is divided by 13?
11
Suppose -17 - 68 = -5*x. Calculate the remainder when 30 is divided by x.
13
Suppose -2*a + 5 = -7*a. Suppose 0 = -q - 2*q + 36. Let k = a + q. Calculate the remainder when 21 is divided by k.
10
Suppose -7*s + 269 = -74. Calculate the remainder when s is divided by (1/(-3))/((-2)/156).
23
Let n = 295 + -139. Suppose 6*i - n = 2*i. What is the remainder when i is divided by 10?
9
Let h(d) = -d**3 - d**2 - 3*d + 10. What is the remainder when h(0) is divided by 4?
2
Suppose -28 = -5*v + 3*v. What is the remainder when 95 is divided by v?
11
Suppose 0 = -2*b + 4*b + 4*f + 20, 0 = b + 5*f + 22. Let j(k) = 9*k**2 - 2*k. What is the remainder when j(b) is divided by 21?
19
Let v(f) = f**3 + 5*f**2 + 4*f - 1. Suppose 5*g + 1 + 14 = 0. What is the remainder when 9 is divided by v(g)?
4
Suppose 0 = -4*a - 2*h + 6*h - 4, -3*h + 12 = 0. Suppose 7*m - a*m - 96 = 5*t, 0 = 3*m + 3*t - 45. Calculate the remainder when 56 is divided by m.
18
Suppose 2*a + 2 + 0 = 0. Let v = a - -12. Let y(z) = -z**2 + 13*z - 10. What is the remainder when 22 is divided by y(v)?
10
Let z = -81 - -101. What is the remainder when 35 is divided by z?
15
Suppose -5*v + 73 = -6*v. Let d = 117 + v. Calculate the remainder when d is divided by 15.
14
Suppose -2*f = -4, i + 5*f = -2 + 17. Suppose i*c - 226 = 69. What is the remainder when c is divided by 15?
14
Suppose -4*k - 1 - 5 = 5*w, -4*k - 12 = 2*w. Suppose 6 = -w*y - r + 20, 3*r - 26 = -4*y. What is the remainder when y is divided by 5?
3
Let l = 29 - 8. Let u(c) = -7*c - 3. What is the remainder when l is divided by u(-2)?
10
Suppose o + 129 = w, -81 - 44 = -w + 5*o. Let b(n) = n**2 + 9*n - 6. Let p be b(-8). What is the remainder when 26 is divided by (-2)/7 - w/p?
8
Suppose -30 = -5*n + 30. Calculate the remainder when 45 is divided by n.
9
Let x(k) = k**2 + 5*k - 6. Let p be x(-6). Suppose -o + p*o = -35. Calculate the remainder when o is divided by 18.
17
Let k be (-3 - (-1 - 1))*-102. Suppose -4*z = 14 - k. Calculate the remainder when z is divided by 8.
6
Let q(b) = -b**3 + 13*b**2 + 2*b - 6. Let p be q(13). Suppose 4*z - p = 0, 2*i - 53 = i - 3*z. What is the remainder when i is divided by 13?
12
Suppose 5*a = -8 + 28. Let q = a + -4. Suppose -4*n = -2*d + 26, d + 3*n + 12 = -q. Calculate the remainder when 5 is divided by d.
2
Suppose o = -o + 6. Let k(q) = -2*q**o - 4 + 5 - 7*q**3. What is the remainder when k(-1) is divided by 6?
4
Let g = 107 + 10. Let d(x) = 29*x + 1. What is the remainder when g is divided by d(1)?
27
Suppose -4*m - 2*o = 44 - 110, -o + 5 = 0. What is the remainder when 40 is divided by m?
12
Suppose 18 + 21 = 3*x. What is the remainder when 24 is divided by x?
11
Let a(k) = -k**2 + 8*k - 1. What is the remainder when 32 is divided by a(6)?
10
Let g be 260/(-45) + (-2)/9. Let x be 8/(-6)*9/g. Suppose 4*f + 21 = -n + x*n, f + 67 = 5*n. What is the remainder when 38 is divided by n?
12
Let k = -5 - -9. Suppose -5 = k*m + 11. What is the remainder when 47 is divided by m - -21 - (-1)/(-1)?
15
Let w(j) = -16*j - 1. Suppose 0*s - s + 58 = 0. Suppose s = 4*u - 54. Calculate the remainder when u is divided by w(-1).
13
Suppose -5*u = 1 + 9. Let q = u + 10. What is the remainder when 14 is divided by q?
6
Let d = -29 + 62. What is the remainder when d is divided by 17?
16
Let m = 4 - -4. Calculate the remainder when (-2 - -1)/(3/(-69)) is divided by m.
7
Calculate the remainder when 228/9 + 4/6 is divided by 7.
5
Let f = -2 + 7. Suppose 4*d = d + 4*t - 35, -f*d = -t + 30. Let n = d + 13. Calculate the remainder when n is divided by 5.
3
Suppose 4*u = -0*u + 48. Calculate the remainder when 69 is divided by u.
9
What is the remainder when 597/12 + 1/4 is divided by 17?
16
Suppose 33*j = 26*j + 126. What is the remainder when j is divided by 7?
4
Let w = 73 - 48. Calculate the remainder when 48 is divided by w.
23
Suppose -h - 24 = -5*l, 4*l + 2*h - 16 = 6*h. Calculate the remainder when 12 is divided by l.
2
Let p = -14 + 17. Let o(q) = 1. Let f(i) = 5*i - 20. Let t(d) = f(d) + 20*o(d). Calculate the remainder when t(1) is divided by p.
2
Let g = -13 - -25. Calculate the remainder when 33 is divided by g.
9
Suppose -146 = -3*p + a, 84 = 4*p - 2*p + 2*a. What is the remainder when 89 is divided by p?
42
Suppose 0 = 4*w + p - 4*p - 38, 3*w - 3*p - 27 = 0. Calculate the remainder when 43 is divided by w.
10
Suppose j - 7 = 16. Let n = j + -15. Calculate the remainder when 29 is divided by n.
5
Let f(o) = o + 10. Let i(d) = -d**3 + 5*d**2 - d + 5. Let l be i(5). What is the remainder when 18 is divided by f(l)?
8
Let f(z) = 5*z**2 + 2*z - 3. Let l be f(2). Let m be (-22)/11 - (-1 - 0). Let o = m + l. What is the remainder when 58 is divided by o?
18
Let o(v) be the second derivative of v**4/4 - v**3/3 + v**2/2 + 4*v. What is the remainder when 6 is divided by o(1)?
0
Let b = 29 - -3. Calculate the remainder when 62 is divided by b.
30
Let q = -2 + 4. Let r = 5 + q. What is the remainder when 27 is divided by r?
6
Let s = 4 - -1. Suppose 5*m - 27 = -d, m + 107 = s*d - 2*m. Let q(y) = 2*y - 4. What is the remainder when d is divided by q(6)?
6
Let u(a) = a**2 + 2*a + 5. Calculate the remainder when u(-3) is divided by 3.
2
Suppose -v - 104 = -5*v. What is the remainder when v is divided by 7?
5
Suppose 1 + 26 = 3*i. Let a(r) = -r**2 - 12*r - 11. What is the remainder when a(-5) is divided by i?
6
Let k = 44 - 19. Suppose -4*n = -u - 20, -3*u + 4*n = -0*u + 20. Suppose k = 5*j, -2*p + 3*j + 3 + 2 = u. What is the remainder when 18 is divided by p?
8
Let j = -11 - -18. What is the remainder when 20 is divided by j?
6
Let l = -189 + 310. What is the remainder when l is divided by 31?
28
Let a = -16 + -2. What is the remainder when 7 is divided by (-10)/(-4)*a/(-15)?
1
Let f = -24 - -64. Let n be -1*(1 + 1 + -21). Suppose 0 = -5*q + i + 75, 5*q - i = 4*q + n. Calculate the remainder when f is divided by q.
12
Suppose -k = -4*h - 94, h + 6 = -h. Suppose 4*n - 2 - k = 0. What is the remainder when n is divided by 11?
10
Let a(f) = f**3 + 12*f**2 - 27*f + 19. Calculate the remainder when a(-14) is divided by 3.
2
Suppose -10 = -2*f + 4. Suppose 43 = 2*v - f. Suppose -2*y + 30 = 4*k, -5*k = -y - 2 - 11. Calculate the remainder when v is divided by y.
4
Let t = 48 - 27. What is the remainder when t is divided by 8?
5
Let d(o) = 31*o**2 + o - 1. Let u(x) = 5*x + 1. Calculate the remainder when d(1) is divided by u(3).
15
Let n(j) be the third derivative of j**5/60 - j**4/12 - 5*j**3/6 + 3*j**2. Calculate the remainder when n(-5) is divided by 16.
14
Suppose -o - 1 = -12. Calculate the remainder when 52 is divided by o.
8
Let v(o) = 3*o**3 - 2*o + 1. Suppose 31 = 3*f + 5*k, 0*k = -2*f - 5*k + 29. Calculate the remainder when v(f) is divided by 11.
10
Suppose 0 = -d + g + g + 51, 0 = 3*g - 3. Calculate the remainder when d is divided by 18.
17
Let o be (3 + 0)*(-2 - -3). Suppose -5*p = -p - 12. What is the remainder when -1 + o/3*8 is divided by p?
1
Let o(w) be the second derivative of w**4/12 - w**3/3 + 3*w**2/2 + 6*w. What is the remainder when o(-3) is divided by 5?
3
Let p be 2/(-5) - 864/(-60). Let l = 2 + p. What is the remainder when 30 is divided by l?
14
Suppose 4*f + 3*d + 0*d + 308 = 0, -3*f = 4*d + 231. Let q = 110 + f. Calculate the remainder when q is divided by 17.
16
Suppose -2*q = -5*w + 147, 2*w - 8 = 4*q + 38. Suppose -5*o + o + 48 = 0. Let u = o - 1. Calculate the remainder when w is divided by u.
9
Suppose 5*b = 20, g + 4*b - 16 = b. Suppose -g*o = 16 - 160. Calculate the remainder when 20 is divided by 6/(-30) - o/(-5).
6
Let c(k) = 31*k**2 - 2 + 0 + 9*k - 1 - 30*k**2. What is the remainder when 24 is divided by c(-10)?
3
Suppose -5*h = b - 15, -2 - 16 = h - 4*b. Suppose h*p - 20 = -2. Calculate the remainder when p is divided by 5.
4
Let u(s) = s**3 -