13. What is the remainder when 34 is divided by k?
4
Suppose -29 = -3*j + 2*w, -5*j + 4*w = w - 48. Calculate the remainder when ((-8339)/1614)/(1/(-6)) is divided by j.
4
Calculate the remainder when 192 is divided by (6 - (-87)/(-15))/(3/435).
18
Suppose 4*x + 7 + 129 = 4*n, x = 4*n - 133. Calculate the remainder when (1 - 2)*(10 + -173) is divided by n.
31
Let d(n) = -14*n + 77. Calculate the remainder when 60 is divided by d(5).
4
Let g(n) = -8*n + 1. Let l be g(3). Suppose 113 = -9*z - 166. Let f = l - z. Calculate the remainder when f is divided by 5.
3
Suppose o - x - 27 = x, -4*x - 37 = -o. Let y = 49 + o. Suppose -y = -0*j - 2*j. What is the remainder when j is divided by 17?
16
Suppose 21052 = 13*x + 6*x. Calculate the remainder when x is divided by 15.
13
Suppose -a - 375 = 4*a. Let t be a/(-2) - 18/(-12). Let g = -27 + t. What is the remainder when 47 is divided by g?
11
Let p = 2 + 15. What is the remainder when 149 is divided by p?
13
Let l(a) = a**3 - 18*a**2 - 16*a + 54. What is the remainder when l(19) is divided by 8?
7
Let j = 150 - 7. Suppose 10*x - 37 - j = 0. What is the remainder when x is divided by 8?
2
Suppose -568 = -4*m - 2*w, 3*m = -4*w + 325 + 106. Calculate the remainder when m is divided by 30.
21
Let x = 3 + -3. Calculate the remainder when (x - -5) + -3 - -3 is divided by 4.
1
Let d(i) = 3*i**2 - i + 105. Let u be d(0). Let c = u - 94. What is the remainder when 40 is divided by c?
7
Suppose -3*w + 5 + 216 = -2*b, 5*w - 360 = 5*b. What is the remainder when w is divided by 17?
9
Suppose n = -5*v - 0 - 16, n + 1 = 0. Let d(h) = -3*h + 1. Let l be d(v). Suppose -3*o - l = -49. Calculate the remainder when 24 is divided by o.
11
Let a be 9 - 3 - (0 - 1). Let c = a + -2. Suppose -t = 4*t + c*l - 170, l = t - 24. What is the remainder when 113 is divided by t?
26
Let n(w) = 2*w**3 + 5*w**2 + w - 5. Let r be n(-3). Let l = r - -20. Let b(y) = -3*y - 9. What is the remainder when b(-6) is divided by l?
0
Suppose 42*q + 26 = 46*q - g, 3*q = -3*g + 27. Calculate the remainder when 29 is divided by q.
1
Suppose 2*z + 6*z - 32 = 0. Calculate the remainder when 32 is divided by (19/z + -2)/(3/12).
10
Let w = -49 + 55. Calculate the remainder when 45 is divided by w.
3
Let q = -986 - -1037. What is the remainder when 764 is divided by q?
50
Let k = 1324 + -1305. Calculate the remainder when 772 is divided by k.
12
Suppose -9*i + 3 = 39. What is the remainder when (-2260)/(-30) + i/3 is divided by 39?
35
Let s = 10 + -4. Suppose s = -d - 2*d. Let r(h) = 6*h**2 + 3*h. What is the remainder when 33 is divided by r(d)?
15
Let b(k) = 73*k + 165. Calculate the remainder when 302 is divided by b(-2).
17
Let z be ((-20)/(-3))/(2/3). Suppose 0 = -5*t + z - 0. Suppose 4*q + t = 38. What is the remainder when 25 is divided by q?
7
Suppose 96 = 4*g - 2*g. Let o = -33 + g. Let w = o - -3. What is the remainder when 34 is divided by w?
16
Let g = 1556 - 1475. Calculate the remainder when g is divided by 27.
0
Suppose 7*q = 46*q - 28041. What is the remainder when q is divided by 80?
79
What is the remainder when 1*(3 + 133) + (-1 - -5) is divided by 47?
46
Let q(d) = d**3 + 3*d**2 - 6*d - 6. Let k be q(-4). Suppose 2*y - 1 = -v, -4*v = -2*y - k + 28. What is the remainder when 19 is divided by y?
1
Suppose 3*h - 50 = h + 2*k, 3*k + 123 = 5*h. Suppose 2*y + 4*j - h = -2*y, -60 = -4*y + 5*j. Calculate the remainder when 18*2*y/4 is divided by 23.
21
Suppose 0 = -4*h + 7*h + 4*y - 55, -h - 7 = -5*y. What is the remainder when 506 is divided by h?
12
Calculate the remainder when 646 is divided by (-61 + 1)*(-1)/5*3.
34
Suppose 2*m - 7*m = -4*n + 105, -5*n - 5*m = -75. What is the remainder when 239 is divided by n?
19
Suppose -2*q = 2*q - 60. Let t(i) = -2*i**2 + 23*i - 30. Let u be t(10). Suppose u = 10*a + 15 - 55. Calculate the remainder when q is divided by a.
3
Let n(u) = -u**3 - 2*u**2 - 21*u - 61. Calculate the remainder when n(-6) is divided by 3.
2
Let y = 2291 + -321. What is the remainder when y is divided by 58?
56
Let i = 31 + -15. Suppose u - 2 = -2*d, -3*d - 18 = -3*u + u. Suppose -u*q + 225 = -q. What is the remainder when q is divided by i?
13
Suppose 231 = -10*j + 281. What is the remainder when 308 is divided by j?
3
Let c = -28 + 69. Suppose 0 = -4*k - 3 + 19, 2*k = 2*z + 2. Suppose d + 160 = z*d. What is the remainder when d is divided by c?
39
Suppose -42*y + 246 = -36*y. Calculate the remainder when y is divided by 22.
19
Suppose 17*h = 20*h - 9. Suppose -h*y = 3*r - 66, 0 = -5*r - y + 102 - 4. What is the remainder when 56 is divided by r?
18
Suppose -200 = -3*g - h, -2*g = -4*h - 17 - 93. Calculate the remainder when g is divided by 23.
19
Let r = 23 - -38. Let p = 83 - r. Calculate the remainder when 41 is divided by p.
19
Let f = 58 + 39. Suppose f = 3*v + 1. Suppose 40 = 8*l - v. What is the remainder when 13 is divided by l?
4
Let g(y) = -y**2 - 44*y - 195. Calculate the remainder when g(-12) is divided by 69.
51
Suppose 4*v = -15*r + 14*r + 125, v - 4*r - 10 = 0. What is the remainder when 134 is divided by v?
14
Let x(f) = -f**2 - 12*f + 12. Let o be x(-12). Suppose 10*g - o*g = -148. Calculate the remainder when g is divided by 19.
17
Suppose -4*q - 32 + 52 = 0. Suppose 0 = 2*l - 3*u + 2*u - 145, -3*l + 250 = q*u. Suppose -2*g + 24 + 28 = 0. What is the remainder when l is divided by g?
23
Let z(h) = h**3 + 5*h**2 - 6*h + 5. Let c be z(-4). Suppose 0 = -4*j - 4*q + 36, 0*j = 5*j - 4*q - c. Calculate the remainder when 23 is divided by j.
5
Let o(y) = y**2 - 2*y. Let l = -1396 - -1454. Calculate the remainder when l is divided by o(-3).
13
Let w = 24 + -8. Suppose w = k - 38. Calculate the remainder when k is divided by 14.
12
Let q = -3 + 5. Suppose -49 = -q*c - 1. What is the remainder when (-1 + 62 - -5) + (-1 - -6) is divided by c?
23
Suppose 0 = 5*s + 4*h + h - 100, -2*h - 100 = -5*s. Let f = 33 - s. What is the remainder when f is divided by 7/2*(1 + 1)?
6
Let l = 30 + -68. Let u = 62 + l. Suppose 0 = -3*w + 42 - 3. Calculate the remainder when u is divided by w.
11
Let q(n) = -112*n + 343. What is the remainder when 426 is divided by q(3)?
6
Let r(p) = -3*p**2 - 2. Let j be r(3). Let i = j + 22. Let a = 17 + i. What is the remainder when 17 is divided by a?
7
What is the remainder when (2 - -48) + 34/(-17) is divided by (6/(-15))/((-2)/50)?
8
Suppose 2*a = -2*f + 180, 0 = f + 4*a - 80 - 7. Calculate the remainder when f is divided by 23 + -2 - 0 - 2.
15
Suppose -3*g - 62 = 4*u - 5*u, 3*u - 6 = 0. Let b = -17 + 25. Calculate the remainder when ((-52)/5)/(b/g) is divided by 9.
8
Let d = 90 - -609. What is the remainder when d is divided by 18?
15
Suppose 0 = 5*h + 5*f - 10*f + 10, -14 = 4*h + 2*f. Let g(l) = -15*l**3 - 3*l**2 + 2*l - 2. Calculate the remainder when g(h) is divided by 53.
52
Suppose -4*s = -2*z + 6, 3*z - 6*s = -3*s + 12. Suppose 3*m - 3*d - 102 = 0, m + 2*m + d = 82. Calculate the remainder when m is divided by z.
4
Let j(x) = 2*x + 10. Let l be j(-3). What is the remainder when 7/(28/132) + l is divided by 15?
7
Let u = -671 - -761. What is the remainder when 342 is divided by u?
72
Suppose -2*r - r = -42. Let t(o) = -o**2 + 3*o + 32. Calculate the remainder when r is divided by t(-4).
2
Let m be 18/(6*(-3)/12). Let d be (-2)/m - (-295)/30. Calculate the remainder when 11 is divided by (-8)/4 + -2 + d.
5
Suppose -s + 23 - 16 = 0. Suppose -10*w + 153 = -s*w. Calculate the remainder when w is divided by 14.
9
Let s(f) = -f**2 - 13*f - 1. Let b be s(-13). Let g be 52/(-39)*(b + -8). Suppose 21*j - g = 17*j. What is the remainder when 6 is divided by j?
0
Let z be 37/(-7) - ((-90)/21 + 4). Let o(l) = -l**3 - 3*l**2 - 3*l - 11. What is the remainder when o(z) is divided by 19?
16
Suppose -2*t - 12 = -0. Let x(l) = -l**3 - 5*l**2 + l - 3. Let z(m) = m**2 + 3*m + 11. Calculate the remainder when z(-8) is divided by x(t).
24
Suppose -7 = -v + 3*w + 6, 3*w = 5*v - 5. Let f be (24/2)/(5 - 6). Calculate the remainder when 45 is divided by 1 - f - (3 + v).
9
Let u(j) = 54*j**2 + 11*j. What is the remainder when 141 is divided by u(-1)?
12
Let q(x) = -39*x - 1669. Suppose 58 + 32 = 3*m. Calculate the remainder when m is divided by q(-43).
6
Let o(v) = -3*v + 47. Suppose -3*h - h = -8. Suppose 5*