Let u = -63 - -143. Suppose 6*a - u = a. Calculate the remainder when x is divided by a.
13
Suppose -32*l + 20*l + 948 = 0. Calculate the remainder when 261 is divided by l.
24
Let l(a) = 2*a + 2*a + 11 - 5*a + 12. Let m be 0/(8/(-3 - -7)). Calculate the remainder when l(m) is divided by 13.
10
Suppose 2*d - 16 = -2*d. Suppose -m + 2 = -0. Suppose 0*u + u = m. What is the remainder when d is divided by u?
0
Suppose 22 + 3102 = 22*q. Calculate the remainder when q is divided by 30.
22
Let t be 12/42 + (-2768)/(-14). Calculate the remainder when (-14)/21 - 124/(-6) is divided by (0 - 3)/((-54)/t).
9
Suppose -3*b + 46 = 2*x, x + 3*x = -3*b + 104. Suppose 5*f = 2*a - 1, 2*f = a + 6*f - 33. What is the remainder when x is divided by 2*(1 + a/2)?
14
Suppose -2*h + 48 = -5*f + 2, -3*h = -f - 69. Calculate the remainder when 58 is divided by h.
12
Let h(f) = 3*f**2 + 5*f + 2. Let w be h(-2). Suppose 0*b + t - 103 = -w*b, 4*t = 5*b - 113. Let z = -9 + 22. Calculate the remainder when b is divided by z.
12
Let z be 0/2 + (14 - 13). Suppose 0 = -i - z + 10. Calculate the remainder when 34 is divided by i.
7
Let z(u) = -3*u - 3. Calculate the remainder when z(-20) is divided by 49.
8
Suppose -198 = -3*k - 2*h, h + 331 = 5*k + 4*h. What is the remainder when k is divided by 18?
14
Let x(i) = i**3 - 19*i**2 - 16*i - 15. Suppose 3*o - 77 = -3*a - a, 5*a - 4*o - 104 = 0. Calculate the remainder when x(a) is divided by 11.
10
Suppose -2*d - 15 = -5*m, d = 2*m - 3*m + 3. Let j(a) = 0*a + 7*a**2 - 3*a - 3 + m. What is the remainder when j(3) is divided by 19?
16
Suppose -i + 10 = -43. Calculate the remainder when i is divided by ((-63)/(-6))/((-35)/(-90)).
26
Let h(w) = w**2 + 24*w - 33. Let x be h(-24). Let d = x - -82. What is the remainder when 146 is divided by d?
48
Suppose 3*i - 4*m - 35 = 0, 3*m - 3 = -i - 0*i. Let f be ((-16)/12)/((-4)/6). Suppose -4*a = -f*a - 30. Calculate the remainder when a is divided by i.
6
Let s = 23 + -53. Let n = 30 + s. Suppose -32 = -n*q - 4*q. Calculate the remainder when q is divided by 5.
3
Let m = -251 + 257. Calculate the remainder when m is divided by 5.
1
Let j(o) = o**3 - 18*o**2 - 9*o + 21. What is the remainder when j(19) is divided by 36?
31
Let c(h) be the first derivative of -h**4/2 + h**2 + 2*h + 2. Calculate the remainder when c(-2) is divided by (-2)/3*372/(-31).
6
Suppose -2*v - v + 36 = 0. Suppose 5*k - 3*z - 7 = z, 2*k - v = -3*z. Suppose -k*b = -8 - 49. What is the remainder when 36 is divided by b?
17
Let r = 166 + -76. Calculate the remainder when r is divided by 23.
21
Let j = 1155 - 1129. Calculate the remainder when 37 is divided by j.
11
Let a(k) = k**3 - 9*k**2 + 3*k + 21. Let j(p) = -p**2 - p - 3. Let q be j(-3). Calculate the remainder when a(9) is divided by ((-3)/q)/(2/150).
23
Suppose 12 = 2*z - 3*y, -5*z = -11*y + 6*y - 40. Calculate the remainder when 105 is divided by z.
9
Suppose 3*z - 37 = -16. Suppose 4*t = -0*t + 16. Suppose t*p - 26 = -3*r - 7, 3*r + 5*p - 20 = 0. Calculate the remainder when z is divided by r.
2
Suppose i = -i + 90. Let z = 45 + -75. Let x = i + z. Calculate the remainder when 29 is divided by x.
14
Calculate the remainder when 29 is divided by (14/4)/(1 + 45/(-108)).
5
Let z(u) = 13*u - 1387. Let i(v) = v**2 + v. Calculate the remainder when i(5) is divided by z(107).
2
Let j(n) = -2*n + 18. Let k(t) = -2*t**3 + t**2 + t - 3. What is the remainder when j(-12) is divided by k(-2)?
12
Suppose 13 = -3*r + 79. What is the remainder when 2 - 1*(-82 - 0) is divided by r?
18
Let r(h) = -2*h**3 + 19*h**2 - 3*h + 9. Let g be r(10). Let v = 139 + g. Calculate the remainder when 83 is divided by v.
11
Let w(h) = h**2 + 8*h - 9. What is the remainder when w(-11) is divided by 10?
4
Suppose a - l = -2*a + 3, -a - 3*l + 11 = 0. Suppose -3*y + 4*h + 231 = 0, 5*y - a*h = -1 + 372. Calculate the remainder when y is divided by 15.
13
Suppose 2*n = -2*d + 76, d - 41 = -2*n + 38. Suppose 110 = -w + 6*w. Calculate the remainder when n is divided by w.
19
Let s be (-86)/(-3) - 6/9. Suppose 0 = -i + 4*i - 12. What is the remainder when -2*2*(-119)/s is divided by i?
1
Suppose 0 = -3*r + 7*r - 12. Suppose 0 = r*j + 2*j. Suppose j*f = -f + 2. What is the remainder when f is divided by 2?
0
Let q(f) = f**3 - 8*f**2 - 17*f - 20. Calculate the remainder when 48 is divided by q(10).
8
Let q = -17 + 74. Suppose -2*l + 93 = -q. Calculate the remainder when l is divided by 20.
15
Let o be (15/(-2))/5*(-13 - -1). Suppose l + 2*l = o. What is the remainder when l is divided by 4?
2
Let q(u) = u**2 + 2*u + 31. Calculate the remainder when q(-10) is divided by 57.
54
Let w be (-6)/(-4)*4/(-3). Suppose 2*p - 248 - 324 = 0. What is the remainder when w/(-5) - p/(-10) is divided by 8?
5
Suppose -14 = 6*v - 44. What is the remainder when -6 + v - 77/(-1) is divided by 26?
24
Let s = 256 - 43. What is the remainder when s is divided by 12?
9
Let w = 57 - 31. Suppose 2*j + 0*j = 4*v + 556, v = -5*j + 1390. Suppose 5*r - 107 = j. What is the remainder when r is divided by w?
25
Suppose 0 = 4*f + 6*u - 4*u - 438, 15 = -5*u. Calculate the remainder when f is divided by -3 + (-50)/(-20)*(-62)/(-5).
27
Suppose 73 = 3*f + 5*c - 52, 137 = 3*f - c. Calculate the remainder when f is divided by 5 - 254/(-36) - 15/270.
9
Let t = 501 - 402. Calculate the remainder when 155 is divided by t.
56
Suppose 18*l - l = 680. Calculate the remainder when l is divided by 21.
19
Let b = 499 - 313. What is the remainder when b is divided by 11?
10
Let b = -42 + 21. Calculate the remainder when (-21)/49 - 450/b is divided by 6.
3
Suppose 912 = 2*q + q. Suppose -4*y - i + q = 0, 4*y - 6*y + 150 = i. Let f(a) = -2*a + 28. What is the remainder when y is divided by f(1)?
25
Let c(r) = -r**2 - 24*r - 7. Suppose 0 = 4*z + o - 108, 3*z + 2*o - 76 = -0*o. Calculate the remainder when z is divided by c(-23).
12
Let c(p) = -11*p**3 - 9*p**2 + p - 5. Calculate the remainder when 269 is divided by c(-2).
44
Let x be 63 + 1 + (0 - -1). Suppose 4*u - 67 = x. Suppose 5*p + u = 88. Calculate the remainder when 42 is divided by p.
9
Let t = 93 - 58. Suppose 2*a = -5*h + 6 + t, a - 3*h - 15 = 0. What is the remainder when a is divided by 6?
0
Suppose 53 + 37 = 3*w. Suppose 2*o + k - 125 - 54 = 0, 0 = -o - 3*k + 97. Calculate the remainder when o is divided by w.
28
Let s(i) = i**2 + i - 1. Suppose -244*n = -245*n + b + 38, 172 = 5*n - 2*b. What is the remainder when n is divided by s(-3)?
2
Let p(a) = 7 - 9 + 3*a + 3*a + 15*a**2 - 4*a - a**3. What is the remainder when 38 is divided by p(15)?
10
Let w(f) = 6*f**2 - 9*f. Let t be w(4). Suppose -9*v = -3*v - t. What is the remainder when 37 is divided by v?
7
Let p = -116 - -241. What is the remainder when p is divided by 33?
26
Let q = 9 - -42. Suppose 0 = 4*t + v - q, -3*v - v = -5*t + 48. Calculate the remainder when 45 is divided by t.
9
Let b = 7 + -3. What is the remainder when (-6)/b + 62/4 is divided by 6?
2
Let n = 7 + -5. Suppose n*p + p = 15. Suppose 136 = -b + 9*b. Calculate the remainder when b is divided by p.
2
Let b(j) be the second derivative of j**4/12 + 2*j**3/3 + 5*j**2 + 11*j. What is the remainder when 24 is divided by b(-5)?
9
Let q = 8 - -2. Let u be 24/q - (-51)/85. Calculate the remainder when 27 is divided by (3 + 2)/(-2 + u).
2
Let c = -3 + 5. Suppose c*v - 26 = -0*v. Let i = 19 + 5. Calculate the remainder when i is divided by v.
11
Let m(h) = h**3 - 8*h**2 + 4*h + 2. Let w be m(7). Let q = 36 + w. Calculate the remainder when q is divided by 0 + 0 + (-15)/(-3).
2
Suppose 3*y - 4*y - 130 = -o, -3*y = 0. Calculate the remainder when o is divided by 32.
2
Let n be -1 + (-1 + -2 - -4). Suppose -2*d + 0*i = -2*i, n = -5*d + 4*i. What is the remainder when 13 is divided by d - -7 - 2/(-2)?
5
What is the remainder when 8*((-81)/(-6) - (-45)/18) is divided by 13?
11
Suppose 16 = -7*d + 8*d - 5*c, -3*c + 6 = 0. What is the remainder when d is divided by 15?
11
Let w = -976 - -1371. What is the remainder when w is divided by 18?
17
Suppose 0 = 20*d - 1802 - 1138. What is the remainder when d is divided by 74?
73
Let g(a) = -2*a**3 - 3*a**2 + 3*a + 1. Calculate the remainder when g(-4) is divided by 62.
7
Suppose -134 = -42*c + 40*c. Calculate the remainder when 734 is divided by