pose -8 = -g + i. What is the remainder when 70 is divided by g?
16
Let y(u) = u**2 - 14*u - 11. Let g be y(15). Suppose g - 1 = 3*a. Calculate the remainder when 3 is divided by a.
0
Let j = 56 + -222. Suppose n + 7 = 3, -2*v = -n - 12. What is the remainder when j/(-12) + v/24 is divided by 8?
6
Let a be (-7)/((-21)/(-6)) + -3. Let d(q) = -7*q - 10. What is the remainder when d(a) is divided by 9?
7
Suppose 263 = 4*d + 3. Let i = -109 + 168. Suppose 3*n = -y + 71, 0*n - 2*n - 3*y + i = 0. What is the remainder when d is divided by n?
21
Let c = 408 - 65. What is the remainder when c is divided by 86?
85
Suppose -408*v + 1200 = -398*v. Calculate the remainder when v is divided by 36.
12
Let g be 6 + (0 + (-6)/(-15))*-5. Calculate the remainder when 101 is divided by g/((-4)/(-29)) + (-9)/3.
23
Suppose 5*n + 24 = 3*x, 5*x - 16 = 3*x - 3*n. Calculate the remainder when 135 is divided by x.
7
Suppose 11*b = 6*b + 10. Suppose 3*z + d = 17, -d + 14 - 1 = b*z. What is the remainder when 21 is divided by z?
1
Calculate the remainder when 70 is divided by (-2)/(-6) - (-1575)/135.
10
Let w(v) = 3 - 229*v**3 + 2*v - 2 + 19*v**2 + 228*v**3. Let c(a) = a**2 + 4*a + 5. What is the remainder when w(19) is divided by c(-5)?
9
Suppose -11 = -2*r - 5. Calculate the remainder when (-2 + 1)/(r/(-402)) is divided by 27.
26
Let l(y) = y**3 - 16*y**2 + 27*y + 18. Suppose 3*f + f = 0. Suppose f = -3*m + 6*m - 78. What is the remainder when m is divided by l(14)?
2
Let j(x) = 5*x + 6. Let y be j(-2). Let s(i) = -i**3 - 3*i**2 - i - 10. What is the remainder when s(y) is divided by 3?
1
Let d(v) = 17*v + 10. Let z(k) = -154*k - 91. Let t(r) = 28*d(r) + 3*z(r). Calculate the remainder when t(3) is divided by 13.
10
Let z(q) = q**3 + 7*q**2 - 21*q - 9. Suppose 13*t = 15*t + 18. Calculate the remainder when 27 is divided by z(t).
9
Let y(p) = -p**2 - 16*p + 24. Let w be y(-15). Let h(m) = -3*m + 11. Let n be h(10). Let f = n + w. Calculate the remainder when 78 is divided by f.
18
Suppose 18 = 8*h - 70. Calculate the remainder when 120 is divided by h.
10
Suppose -6*v + 240 = -78. Let h = v - 24. Let c(u) = -u**2 - 9*u - 7. Calculate the remainder when h is divided by c(-6).
7
Suppose -5*s - c = 26 + 19, 0 = -4*s - 3*c - 36. Suppose 0 = d - 3*b - 23 - 6, d - 5*b = 37. Let q = d + s. What is the remainder when 23 is divided by q?
7
Suppose 15 = -2*o + 7*o. Suppose -o*z - 3*b + 33 = 0, z + 9 = 2*b + b. What is the remainder when 16 is divided by (-3)/6 - (-63)/z?
6
Suppose -4*d = -20, d + 12 = 5*f - 3. Suppose -5*j + 2*k = -18, 3*j + k - f = -2. Calculate the remainder when 1 + j - 32/(-8) is divided by 4.
3
Suppose -4*f = 4*r - 4, 1 = -f + 2*r - 1. Let q = f - -6. Calculate the remainder when 1/(2/42*1) is divided by q.
3
Let k = 103 - 60. What is the remainder when (-166)/(-1) - (-15 + 10) is divided by k?
42
Suppose -5*l - 108 = 9*b - 13*b, -4*b + 4*l + 108 = 0. What is the remainder when b is divided by 14?
13
Let f = -73 + 112. Let z = f + -17. What is the remainder when 87 is divided by z?
21
Suppose 1080 = 5*y - 0*y. What is the remainder when y is divided by 73?
70
Let m be 100/24 - 1/6. Suppose -m*x = -2*x + 6. Let r = x - -15. Calculate the remainder when 33 is divided by r.
9
Let o(t) be the third derivative of -t**4/12 - t**3/3 - 4*t**2. Calculate the remainder when 12/(-6)*(-14 - (-2 + 3)) is divided by o(-5).
6
Suppose 5*c = -7*r + 3*r + 140, 2*c + 3*r - 63 = 0. Let s = -36 + 12. Let m = s + 69. What is the remainder when m is divided by c?
21
Let w(g) = -3*g**3 - 17*g**2 + 5*g + 154. Calculate the remainder when w(-9) is divided by 11.
6
Suppose 0 = -c - 3*n + 19, 5*c - n - 37 = c. What is the remainder when 68 is divided by c?
8
Suppose 2*l = l + 11. Suppose -18*u + 12 = -24. Suppose -u*x = -78 + 18. Calculate the remainder when x is divided by l.
8
Suppose 11*g = 21*g - 1670. Calculate the remainder when g is divided by 71.
25
Suppose 8*q - 8632 = -18*q. What is the remainder when q is divided by 48?
44
Suppose -2*y + 10166 = 24*y. What is the remainder when y is divided by 79?
75
Let r be (1 - 1)*-1 + 0. Suppose 314 - 98 = 12*a. Suppose -m + r*m = -a. Calculate the remainder when m is divided by 5.
3
Let m(f) = -38*f + 488. Calculate the remainder when m(8) is divided by 5.
4
Let u(m) = m**3 - 7*m**2 - 3*m + 3. Suppose -22*d + 149 - 39 = 0. What is the remainder when u(8) is divided by d?
3
Suppose -5*m + 123 = -5*z + 13, 4*m + 2*z - 76 = 0. Calculate the remainder when 26 is divided by (m/(-25))/(2/(-35)).
12
Let q = -11 - -13. Suppose -q = j - 12. What is the remainder when ((-26)/4)/((-9)/54) is divided by j?
9
Suppose 76*r - 22*r = 3942. Calculate the remainder when r is divided by 20.
13
Let x(t) = 52*t + 479. Calculate the remainder when 1194 is divided by x(-8).
60
Suppose -3*q + 54 = -3*m, -2*q - 3*m + 38 = -q. Let d(l) = l + 7. Calculate the remainder when q is divided by d(6).
10
Let w(y) = -y**2 - 17*y + 22. Calculate the remainder when w(-16) is divided by 9.
2
Let q(r) = -r**2 + 2*r + 405. What is the remainder when q(-17) is divided by 70/(-4)*(-8)/5?
26
Let x = 1522 + -1021. Suppose u = 5*t - x, 0*u = -5*t + 2*u + 497. Suppose -2*w + 55 = 3*a, w + 0*w + 5*a = 31. What is the remainder when t is divided by w?
23
Suppose 14*a = 10*a - 628. Let o = 230 + a. Calculate the remainder when o is divided by 19.
16
Suppose 38*t = 40*t - 48. Suppose -h + t = -1. What is the remainder when 121 is divided by h?
21
Let g = -24 + 14. Let w be (6/g)/(2/(-30)). Let o(t) = t**3 - 9*t**2 + 4*t + 22. Calculate the remainder when o(w) is divided by 15.
13
Let s = -521 + 556. Let b(h) = -19*h. Suppose 0 = 4*y - z + 8, 0 = 2*y + z - 1 - 1. What is the remainder when s is divided by b(y)?
16
Suppose -37 = -p - 2*q + 21, 318 = 5*p + 3*q. Let w(x) = 6*x + 5. Suppose 6*s + 10 = 11*s. Calculate the remainder when p is divided by w(s).
15
Suppose -40*j + 39 = -37*j. Let t = j - 2. Let g(a) = 5*a**2 - 2*a + 4. What is the remainder when g(3) is divided by t?
10
Let a(t) = -3*t + 1. Suppose 10 = -5*s, 2*c + 3*c - 4*s = 28. Suppose -5*p + 14 = 3*h - 5, -3*h - 2*p = -c. What is the remainder when 25 is divided by a(h)?
4
Suppose 5*l = -2*l + 217. Calculate the remainder when 91 is divided by l.
29
Suppose -q = -46 - 43. Suppose 115 = 4*w + 327. Let z = w + q. What is the remainder when z is divided by 19?
17
Suppose -6*o + 9 = -3*o. Suppose o*h - 88 = -h. Suppose -2*b - 2*g + h = 0, -g + 0 = 4. Calculate the remainder when b is divided by 9.
6
Let a = 1080 + -1039. What is the remainder when 322 is divided by a?
35
Let w(c) = c + 14. Let b = -191 + 170. What is the remainder when -1 + 45 + b + 15 is divided by w(0)?
10
Let z = 225 - 205. What is the remainder when 68 is divided by z?
8
Suppose 0 = -3*y - 3. Let l(o) = 5*o**2 - o - 1. Calculate the remainder when 8 is divided by l(y).
3
Calculate the remainder when (3/(-1))/(-18) - 1841/(-42) is divided by 10.
4
Let d be -3*(112/42)/(4/6). Calculate the remainder when 46 is divided by (-123)/d - (-7)/(-28).
6
Suppose -4*f = -2*s - 96, 3*f + 6*s = s + 46. Calculate the remainder when 525 is divided by f.
19
Let q = 321 + -497. Let g = -57 - q. What is the remainder when g is divided by 11?
9
Suppose r - 3*r = -8. Suppose 5*m + 3*l - 5 = 0, -5*m = -2*m - r*l - 3. Suppose d - 17 = -m. Calculate the remainder when d is divided by 9.
7
Suppose 0 = -4*w - 3*u + 9, -1 = 3*w - 2*u - 29. Let o(d) = 2*d**2 - 6*d - 12. What is the remainder when o(w) is divided by (0 - 1) + (-1 - -15)?
11
Let o(c) = 34*c**2 + 512*c + 38. Let y(f) = -f**3 + 7*f**2 + 3*f + 10. Calculate the remainder when y(7) is divided by o(-15).
7
Let o = 1003 - 980. Suppose 0*q + 6 = q. What is the remainder when o is divided by q?
5
Let l(h) = h**3 - h + 9. Suppose 2*f - 122 = -4*p, -p = 3*p + f - 125. Calculate the remainder when p is divided by l(0).
5
Let k = 53 - 45. Let x = 3 + k. Let y(n) = n**3 - 6*n**2 + 6*n - 5. What is the remainder when y(6) is divided by x?
9
Suppose -11*z - 2 = -156. Let n(c) = 39*c + 1. What is the remainder when n(1) is divided by z?
12
Suppose 0 = -4*n - 5*f + 530, -4*f - 262 = -2*n - 8*f. What is the remainder when n is divided by 68?
67
Suppose 0 = 4*s - 2*s - 10. Suppose -4*l - 16 = 4*t, -s*l + 16 = -5*t - 34. What is the r