en o is divided by 12.
9
Suppose 5*h + a - 215 = 0, 0*a + 4*a - 188 = -4*h. Suppose 7 = 7*b - 168. What is the remainder when h is divided by 285/b + 4/(-10)?
9
Let k(z) = 422*z - 1676. Suppose -3*n = 2*n - 25. Calculate the remainder when k(4) is divided by n.
2
Suppose 0 = 3*f + 18*f - 21399. Calculate the remainder when f is divided by 102.
101
Suppose 0 = 5*o, 9*b + 2*o = 12*b - 18. Let m(n) = 69*n. Let r be m(-1). Let z = -47 - r. What is the remainder when z is divided by b?
4
Let n = 109 - 106. Let b(r) = 2*r - 7. Let p be b(5). Suppose 0 = 4*x - p*x - 3. Calculate the remainder when x is divided by n.
0
Suppose 4*d - 2*c - 8 = -132, 40 = -d - 4*c. Let n = 76 + -29. Let q = n + d. Calculate the remainder when 43 is divided by q.
13
Let x(g) = g**3 - 2*g**2 + 6*g + 177. What is the remainder when x(0) is divided by 9?
6
Let t(n) = n**3 - 38*n**2 + 39*n - 45. Suppose -c + 2*c - 115 = 0. What is the remainder when c is divided by t(37)?
28
Suppose -13*q + 1020 = -1749. What is the remainder when q is divided by 27?
24
Suppose 4*z - 375 = 4*v + 53, 5*z = 2*v + 523. What is the remainder when 402 is divided by z?
93
Let z(t) = -6*t - 7. Let c be z(-12). Let o be 10/c + 4/(-26). Suppose k - 2*k + 21 = o. What is the remainder when 61 is divided by k?
19
Let d = -4 + 2. Suppose -7*i = -22*i + 120. Calculate the remainder when (62/(-4))/(1/d) is divided by i.
7
Let u = -55 + 55. Suppose 3*q - 33 = -u. Calculate the remainder when 18 is divided by q.
7
Calculate the remainder when 476/((-15)/(-10) + 4/(-8)) is divided by 53.
52
Let k = 44 + -42. Suppose 0 = k*j - 26 + 2. What is the remainder when 58 is divided by j?
10
Let l = 11 + -6. Suppose 4*g + 47 = l*g. Calculate the remainder when g is divided by 24.
23
Suppose -j = 4*k - 89, 3*k = -j - 48 + 135. What is the remainder when j is divided by 69?
12
Let n(v) = -v**2 + 4*v + 2. Let k(u) = -u**2 - 4*u + 4. Let i be k(-4). Let t be n(i). Suppose t*j = 7 - 3. What is the remainder when 14 is divided by j?
0
Let r(q) = -q**2 - 6*q + 1. Let t be r(-5). Suppose 2*h = -0*h + t. Suppose 9*x = h*x + 198. What is the remainder when x is divided by 9?
6
Let l = 64 + -31. Suppose -3*k + 4*x + l = 0, 0 = -5*k + 3*k + x + 27. What is the remainder when 104 is divided by k?
14
Let t = 457 - 230. What is the remainder when t is divided by 38?
37
Let n = -30 - -31. What is the remainder when 22 is divided by (5 - -4 - 4)/n?
2
Let u be (230/(-20))/((-2)/4). Suppose u = -7*i - 26. Let v = i - -54. Calculate the remainder when v is divided by 12.
11
Let z(s) = -18*s**3 - 3*s**2 - 5*s - 3. What is the remainder when 571 is divided by z(-1)?
10
Let q(g) = -5*g**3 + 18*g**2 - 5*g + 9. Let d(c) = -3*c**3 + 9*c**2 - 3*c + 5. Let b(y) = 7*d(y) - 4*q(y). What is the remainder when 19 is divided by b(-9)?
3
Suppose 3*i + 10*q - 5*q - 343 = 0, i - 5*q = 101. Let o(y) = -13*y + 4. What is the remainder when i is divided by o(-4)?
55
Let n(f) = 17*f + 89. Calculate the remainder when n(10) is divided by 29.
27
Let p(r) = r**3 - 4*r**2 - 6*r + 41. What is the remainder when 70 is divided by p(4)?
2
Suppose l - 2 - 2 = 0. Suppose 6*y = y - 25, 0 = -2*p - 2*y + 22. What is the remainder when p is divided by l?
0
What is the remainder when ((11856/(-18))/(-1))/((-6)/(-9)) is divided by 22?
20
What is the remainder when 3 + -2 + -7 + 69 is divided by 17?
12
Suppose 9*i - 209 = -11. What is the remainder when 126 is divided by i?
16
Let o = -21 + 25. Suppose 4*n - o*i = 0, 0*i = n - 5*i. Suppose n = -2*k - t + 112, 0 = -k - k - 5*t + 96. Calculate the remainder when k is divided by 15.
13
Let o = 39 - 23. Suppose 5*h - o = 94. Calculate the remainder when 63 is divided by h.
19
Suppose -4*t + 56 = 4*r, -6 - 10 = -t - 3*r. Let b = -18 - -55. Calculate the remainder when b is divided by t.
11
Suppose -10*v - 7*v + 6579 = 0. What is the remainder when v is divided by 26?
23
Suppose 9 = 3*d - 0*d. Suppose -d*v = -5*c - 99 - 7, -3 = -3*c. Calculate the remainder when 146 is divided by v.
35
Let l(m) = 5*m**3 + 7*m**2 - 12*m + 78. What is the remainder when l(5) is divided by 117?
116
Let j(c) = 6*c + 18. Let y(p) = 18*p - 5. Let v be y(-7). Let s = v - -200. Calculate the remainder when s is divided by j(0).
15
Let a(o) = 7*o + 14. Suppose 4*m = 2*j - 28, -2*j - 3*m = -j + 11. What is the remainder when a(-1) is divided by j?
3
Suppose 8*y - 2368 = 12*y. What is the remainder when 112 is divided by y/(-20) + 3/(-5)?
25
Calculate the remainder when 109 is divided by 73/3*(-11 + 14) - 7.
43
Calculate the remainder when 3/(6/(-8) + (-726)/(-952)) is divided by 48.
46
Let f(d) = 4*d**2 - 4*d + 1. Let b be f(2). Suppose -b - 5 = -7*o. What is the remainder when 4 is divided by o?
0
Suppose 20*y - 364 = -8*y. What is the remainder when 99 is divided by y?
8
Suppose p = 5*n + 443, 2*n - 4*n + 5*p = 168. Let y = -82 - n. Calculate the remainder when 16 is divided by y.
2
Suppose -5*r + 3*t + 155 = 0, -8*r + 93 = -6*r + 5*t. Let b = 44 - r. What is the remainder when 117 is divided by b?
7
Suppose 4*u + 14*s = 18*s + 124, -2*s = u - 40. Calculate the remainder when 99 is divided by u.
31
Suppose -5*a = -u + 1054, -4*a = 1 + 11. What is the remainder when u is divided by 104?
103
Let u = 62 - 66. Calculate the remainder when u - ((-1 - -6) + -169) is divided by 27.
25
Let c be 24/27*-3*-3. Suppose 2 = 5*l - c. What is the remainder when 2 is divided by l?
0
Let l(h) = 18*h**2 + 33*h - 4. Suppose 2*t - 8 + 24 = 4*j, 23 = 4*t + 3*j. What is the remainder when t is divided by l(-2)?
0
Suppose 0 = 4*w - 5*j - 109 - 31, 0 = -3*w - j + 86. Suppose 0 = -4*r + 5*c + w, -r - c = -6*c. What is the remainder when 57 is divided by r?
7
Let f = 3667 + -3651. Suppose -5*i - 2 = 18, -5*s = 3*i - 463. Calculate the remainder when s is divided by f.
15
Let m(y) = -y**2 - 8*y. Let n be m(-8). Calculate the remainder when 9 is divided by n*(-5)/15 + 4.
1
Let q = -657 + 827. Calculate the remainder when q is divided by 47.
29
Suppose 89 + 159 = 4*r. Calculate the remainder when r is divided by 13.
10
Suppose 28*o - 3*h = 29*o - 119, -4*h = 5*o - 540. What is the remainder when 1245 is divided by o?
101
Calculate the remainder when 65 is divided by (22/4)/((-27)/(-108)).
21
Let a(u) = u**3 - 6*u**2 + 5. Suppose -n + 10*d - 18 = 5*d, -2*n + 16 = 3*d. What is the remainder when a(6) is divided by n?
1
Let k = 36 + -32. Calculate the remainder when 2*(-6)/(-42) + 192/14 is divided by k.
2
Calculate the remainder when 62 is divided by (-3088)/(-96) - -1*2/(-12).
30
Suppose 3*y + 785 = 8*y. Suppose -y = -4*l + 27. Calculate the remainder when l is divided by 16.
14
Let x(o) = 15*o - 38. What is the remainder when 2328 is divided by x(5)?
34
Let m = 28 + -23. Suppose 88 = 4*s - m*p + 3*p, 8 = s - 4*p. Calculate the remainder when 118 is divided by s.
22
Suppose 0 = 4*a + i - 118, -i - 151 = -5*a - 4*i. Calculate the remainder when a is divided by 9.
2
Suppose -14*b + 1489 = 1335. Calculate the remainder when 115 is divided by b.
5
Let h(x) = -x**3 - 2*x**2 + 2*x - 1. Let l be h(-3). Suppose -l*s = -s - 1. Calculate the remainder when s is divided by 1.
0
Let b be (-1659)/(-105) + 1/5. Suppose 15*t + 39 = b*t. What is the remainder when t is divided by 10?
9
Let b(q) = -8 + 2 - 9 + q + 1. Let v be b(14). Suppose v = 5*g - 4*f - 15, 4*g - 4 = 4*f + 8. What is the remainder when 9 is divided by g?
0
Suppose -6*f + 77 = -7*f. Let x(v) = -v**3 + 8*v**2 + 5*v + 6. Let g be x(6). Let a = f + g. Calculate the remainder when 59 is divided by a.
28
Suppose 124 = 5*j + 44. Calculate the remainder when 37 is divided by j.
5
Suppose -x = 8*x - 45. Suppose -4*m + 105 = x*r, 5*m - 126 = -r - 0*r. Calculate the remainder when 97 is divided by m.
22
Suppose 28*h - 8 = 26*h. Suppose 3*o = -4*l + 14, h*o + 7*l - 14 = 4*l. Let u(n) = -2*n - 5. What is the remainder when u(-4) is divided by o?
1
Suppose 2*s + y = 574, -2*s - 5*y + 150 = -416. Calculate the remainder when s is divided by 29.
27
Let z(m) = -5*m**3 - 8*m**2 - 9*m + 5. Let v be z(-4). Let y = -132 + v. What is the remainder when y is divided by 21?
17
Suppose 2 = 2*v + 2*f - 8, 0 = 5*v - 4*f - 7. Suppose 0 = -v*t + n - 3*n + 85, 0 = 4*n - 20. Calculate the remainder when t is divided by 7.
4
Suppose -11*y - 11*y + 1980 = 0