 x(v) = 3*v**3 - v + 1. Let m be x(1). Suppose -4*d - d + 3*c = -6, -4*d - 6 = m*c. Calculate the remainder when (-1)/2*(d + -58) is divided by 8.
5
Suppose f - 43 = -0*f. Let s(d) = d**2 - 6*d - 7. What is the remainder when s(-9) is divided by f?
42
Suppose -5*f + 21 = -4. Suppose -4*t + 194 = 3*c, f*c + 159 = 3*t + 28. Suppose z + 120 = 6*z. Calculate the remainder when t is divided by z.
23
Let w = 72 + -72. Suppose 36 = 4*z + 4*q, -5*z + z + 2*q + 54 = w. What is the remainder when 22 is divided by z?
10
Suppose c = 1 - 17. Let q = c - -16. Suppose -g = -3*i + 50, g + 3*g + 20 = q. What is the remainder when 44 is divided by i?
14
Suppose -4*v + 5*n + 127 = -0*v, -3*n = 9. What is the remainder when 474 is divided by v?
26
Suppose -6 + 0 = -3*o. Let t be (-3 + 19)/o + -2. Suppose 3 = 3*r - t. What is the remainder when 9 is divided by r?
0
Let r(q) = -q**2 + 7*q - 22. Let p be r(7). Let w = -9 - p. Let s(k) = k**3 - 7*k**2 + 6*k + 5. Calculate the remainder when w is divided by s(6).
3
Suppose 3*u = u + 8. Let l = 9 - 4. Suppose -u*n = -4*p + 28, -2*p - l*n = -21 - 14. Calculate the remainder when 37 is divided by p.
7
Let o = 19 - 1. Suppose -66 = 5*q - 0*q - 2*g, 5*g - o = 2*q. What is the remainder when 13 is divided by (-4)/q - (-66)/14?
3
Let u = -2195 - -2198. Let w(x) = -4*x - 7. What is the remainder when w(-6) is divided by u?
2
Suppose 105 = 10*g - 1125. What is the remainder when g is divided by 44?
35
Suppose 0 = 3*x - 15*u + 12*u - 207, -u + 1 = 0. Let r(k) = 18*k**2 - k - 1. Calculate the remainder when x is divided by r(-1).
16
Calculate the remainder when (-129)/(-903) + (-2434)/(-14) is divided by 5.
4
Let i be 4/((-12)/(-3)) - -5. Let w(d) = -d**3 + 6*d**2 + 6*d - 5. What is the remainder when w(i) is divided by 8?
7
Let m = 376 - 251. Calculate the remainder when m is divided by 73.
52
Suppose -3 = -2*g - 12*k + 13*k, 0 = -4*g + 3*k + 1. Calculate the remainder when 409 is divided by g.
1
Suppose -3*a = h - 45, 5*h + 5*a = 268 - 83. Let u = -19 + h. Let d = 120 - 67. Calculate the remainder when d is divided by u.
11
Let r be 2 + (-1 + 2)*1. Suppose -5*z + 170 = -r*l, -4*l = -z - 3*l + 34. Calculate the remainder when z is divided by 12.
10
Suppose 4 - 12 = -2*w - 5*d, 3*d = 3*w - 33. Suppose w*j - 140 = -j. What is the remainder when 36 is divided by j?
8
Suppose -2*p + 5 = -3*j, -j - 19 = -3*p + 6. Suppose -4*g - 536 = -5*i - 2*g, 5*g = p. What is the remainder when 27 is divided by (-3)/((i/56)/(-9))?
13
Let f(g) be the third derivative of 5*g**4/24 + 4*g**3/3 + 7*g**2. Calculate the remainder when f(5) is divided by 7.
5
Suppose -2 = o - 38. Suppose 5*b + 11 - o = 0. Calculate the remainder when 22 is divided by b.
2
Suppose -5*h = 3*i - 0*h - 188, -5*i - 3*h + 292 = 0. Suppose -3*c + 22 = -23. Calculate the remainder when i is divided by c.
11
Let y(w) = 98*w - 493. What is the remainder when y(6) is divided by 15?
5
Suppose 16 = 4*x - 4*g - 12, -2*x - 3*g + 19 = 0. Calculate the remainder when (17 - -12) + 0 + -3 + -3 is divided by x.
7
Let w(b) = b**2 + 8*b - 79. Calculate the remainder when 89 is divided by w(7).
11
Suppose 0 = -2121*m + 2126*m - 15. Let s be (-1 - -2 - 0)*0. What is the remainder when m is divided by s/(-2) - (-4)/2?
1
Let g be (-24)/20*(1 - -4). Let y(u) = -2*u - 2. What is the remainder when y(g) is divided by 3?
1
Suppose 15*h - 83 = 14*h. What is the remainder when h is divided by 1/((-12)/(-255)) - 1/4?
20
Let l = 988 - 810. What is the remainder when l is divided by 10?
8
Calculate the remainder when 66 is divided by (-106)/(-6) + (-155)/93.
2
Suppose 66*z = 62*z + 3*p + 139, -5*z = -4*p - 175. What is the remainder when 338 is divided by z?
28
Suppose 3*j = 4*t + 229, 2*j - 102 = 2*t + 48. What is the remainder when j is divided by 40?
31
Let f = -1711 - -1924. Calculate the remainder when f is divided by 20.
13
Let f = 11 - 9. Suppose 0*w = -2*w + 4*m + 166, 0 = w - 4*m - 93. Calculate the remainder when w is divided by 1/(f/52) + -1.
23
Suppose -2*w + 156 = -5*u, -7*w + 2*w + 5*u = -360. Suppose 2*n - w = -2*n. What is the remainder when 82 is divided by n?
14
Let a = -22 + 44. Let b = 59 + -18. Let f = -28 + b. Calculate the remainder when a is divided by f.
9
Let k = -2376 + 2516. Calculate the remainder when k is divided by 84.
56
Let y(x) = x - 2. Let n be y(1). Let j(l) = -5*l**3 - l**2 - l. Let c be j(n). Suppose c*s - 133 = 2. What is the remainder when s is divided by 15?
12
Suppose -4*o + 102 = o - 2*t, 0 = 3*o + 3*t - 78. Let b = -3 + o. Let j = 80 + -26. Calculate the remainder when j is divided by b.
16
Let w(c) = -4 - 5 - 227*c + 221*c. What is the remainder when 29 is divided by w(-4)?
14
Let r(b) = 18*b**3 - 2*b**2 + 3*b - 3. Calculate the remainder when r(2) is divided by 16.
11
Calculate the remainder when 14/(-4)*((-2685)/35 - -5) is divided by 18.
17
Let r(u) = 0 + 2*u**2 - u - 3 + 5 + 2*u**3 - u. Let m be r(2). Let o = -6 + m. Calculate the remainder when 45 is divided by o.
13
Calculate the remainder when 313 is divided by 5/(-2)*(-19 - -1).
43
Suppose -180*s = -174*s - 78. What is the remainder when 3/(-6) + (-258)/(-4) is divided by s?
12
Suppose 2*c = 31 + 187. Let d be (-1)/3 + c/3. Suppose -9*o = -6*o - d. What is the remainder when 23 is divided by o?
11
What is the remainder when ((-2)/3)/(2 - 19416/9702) is divided by 20?
19
Let t = -20 + 23. Suppose -4*f = -6*m + 2*m + 20, m = 3*f - t. Calculate the remainder when 1*(0 - 1) - -16 is divided by m.
6
Let u(t) = 6*t + 4. Suppose 0 = 11*z - 6*z - 15. What is the remainder when u(z) is divided by 7?
1
Suppose 5*h - 4*h = 3. Let y be 1/h - 867/9. What is the remainder when ((-6)/9)/(4/y) is divided by 9?
7
Suppose -i = -0*i + 5*y + 16, 40 = 5*i - 5*y. Suppose 0 = 2*l + i*u + 9 - 1, -2*u - 10 = 0. Calculate the remainder when 14 is divided by l.
2
Let x be (2 - 2) + 4*(1 - 2). Let z be ((-2)/(-3))/((-1)/9). What is the remainder when (-57)/x*(-16)/z is divided by 20?
18
Let r = 5 - -11. Let f(x) = 4*x**3 + 9*x - 7. Calculate the remainder when f(2) is divided by r.
11
Let x(i) = -3*i + 49. Let p be x(-9). Calculate the remainder when (-1 + p + -1)/2 is divided by 10.
7
Suppose -4*v = 17 - 45. Let i(l) = -2*l**3 + 3*l**2 + l + 1. Let h be (4 + (-32)/10)/(2/(-5)). What is the remainder when i(h) is divided by v?
6
Suppose 5*o - 83 = -13. Let a(r) = -r**2 + 15*r + 11. Suppose 2*f = -4, 8*w + f = 4*w + 54. Calculate the remainder when a(w) is divided by o.
11
Let u(y) = y**2 + 13. Suppose -1 = -h + 6. Calculate the remainder when u(0) is divided by h.
6
Let c = -191 - -366. What is the remainder when c is divided by 35?
0
Let q = 9 - -5. Let y(i) be the first derivative of 19*i**2/2 - 76*i + 49. Calculate the remainder when y(6) is divided by q.
10
Let h(s) = 7*s**3 + 9*s**2 - 16*s + 27. What is the remainder when h(5) is divided by 70?
67
Let j = -155 + 311. What is the remainder when j is divided by 20?
16
Suppose 0 = -q + 14*h - 10*h + 134, -4*q = 2*h - 500. Calculate the remainder when q is divided by 34.
24
Let u(h) = -5*h - 3. Calculate the remainder when u(-2) is divided by 140/30 + (-4)/6.
3
Suppose 32 = 3*n + 2*p, -n = -3*n - 5*p + 3. Calculate the remainder when 45 is divided by n.
3
Suppose k = -5*s + 53, 0*k = 2*s + k - 20. Let y = s - 10. Let f = y + 62. What is the remainder when f is divided by 16?
15
Let r(v) = v**2 + v + 4. Let s be r(3). Let u(c) = c - 12. Let m be u(s). Suppose -m*o - 32 = -208. What is the remainder when o is divided by 15?
14
Suppose 5*t - u = 869, -t - 4*u = -7*u - 185. What is the remainder when t is divided by 44?
41
Suppose -6*s = 44 - 2. Calculate the remainder when 71 is divided by 57*1*(-2 - s/3).
14
Let y = 42 + -35. Suppose -2*u - y*u = -630. Calculate the remainder when u is divided by 37.
33
Let g(d) = -140*d - 6. Let v be g(2). Let k = v - -486. Calculate the remainder when k is divided by 51.
47
Suppose 6*g - 196 + 106 = 0. Calculate the remainder when 432 is divided by g.
12
Let x = 15 - 11. Suppose l + x*l = -330. What is the remainder when l/(-4)*(-20)/(-6) is divided by 14?
13
Suppose -5*c - 27 = -0*c - p, 0 = -c + 5*p - 15. Suppose n = 5*n - 28. Calculate the remainder when (c/2)/(-2*(-1)/(-8)) is divided by n.
3
Suppose -3*a = 2*i - 256, -2*a - i = 2*i - 1