 Calculate the remainder when 35 is divided by t.
11
Suppose 10*l + 126 = 19*l. Calculate the remainder when 80 is divided by l.
10
Let v(x) = -x**3 - x**2 + 1. What is the remainder when 3 is divided by v(-1)?
0
Let d = 4 + -20. Let l = 30 + d. Let j(b) = -b**3 + 8*b**2 - 7*b - 4. What is the remainder when j(6) is divided by l?
12
Let b = -148 + 308. Suppose -3*u - b = -8*u. Let p(l) = l**2 - 15*l - 23. Calculate the remainder when u is divided by p(17).
10
Calculate the remainder when (-1416)/(-36) + 2/3 is divided by 16.
8
Let n = -51 + 65. Calculate the remainder when n is divided by 4.
2
Let q be ((-902)/4)/(2/(-4)). Suppose -s - q = -3*i, -s = 2*i - 2*s - 299. What is the remainder when ((-2)/(-4))/(4/i) is divided by 7?
5
Suppose -3*t = -11 - 13. What is the remainder when 22 is divided by t?
6
Suppose 3*g - 202 = -4*w + 119, 4*w + 2*g = 326. Suppose 3*f = -4*i + w, f + 3*f + 2*i - 102 = 0. Calculate the remainder when 69 is divided by f.
21
Suppose f + 5*y = 3*f - 64, -4*f + 100 = 4*y. Calculate the remainder when f is divided by 7.
6
Suppose -9 + 202 = 5*w + 2*m, -3*m + 153 = 4*w. Calculate the remainder when w is divided by 8.
7
Let h be -2*1 + 8 + 232. Suppose 0 = 4*g - 3*f - 236, 4*f = 5*g - 56 - h. Let a = 123 - g. What is the remainder when a is divided by 21?
19
Let q(k) = k**2 - 2*k + 54. Calculate the remainder when q(0) is divided by 15.
9
Suppose -7*w = -w - 156. What is the remainder when w is divided by 15?
11
Suppose -o = -2*l - 13, 4*l - l + 12 = 0. Calculate the remainder when o is divided by 4.
1
Suppose 2*f + 8 = -4*w, 2*w - 5 = -5*f - 1. Let n = f + 15. Suppose -6 = -q + 44. What is the remainder when q is divided by n?
16
Let q = 143 + -19. Calculate the remainder when q is divided by 63.
61
Suppose 0 = 2*t - 2 - 6. Suppose -44 = -2*r + t*d, -52 = -2*r + 5*d - 9. What is the remainder when 45 is divided by r?
21
Let m = -594 - -608. Suppose 2*k - 14 = 2. Calculate the remainder when m is divided by k.
6
Suppose 5*b + 65 = f - 3*f, 0 = 5*f - 2*b + 90. What is the remainder when (f/(-16))/((-3)/(-24)) is divided by 6?
4
Let o(s) = 7*s**2 - 10*s + 16. Let f(u) = 4*u**2 - 5*u + 8. Let g(p) = -5*f(p) + 3*o(p). What is the remainder when 27 is divided by g(6)?
13
Suppose 8 = 2*h - 2. Suppose b = -2*z + 35, z - h*b + 10 - 55 = 0. Calculate the remainder when 78 is divided by z.
18
Suppose -6 = -5*s + 14. Let x = 5 + 1. Suppose 84 = x*m - 2*m + 2*a, a = s. Calculate the remainder when 36 is divided by m.
17
Let d(k) = -11*k**3 - 2*k**2 - k. Let z be d(-1). Suppose z = 5*u - 0. What is the remainder when 4 is divided by u?
0
Let b(m) = m**3 - m**2 + 2*m - 3. Let s be b(2). Suppose -s*w + 80 = -w. Suppose t = -2*q + 6*q + w, 3 = -q. Calculate the remainder when t is divided by 5.
3
Let h be 5 - -2*3/(-2). Suppose h*l = l + 7. Let p(t) = t**2 - t + 6. Calculate the remainder when p(l) is divided by 25.
23
Let f(u) = u**3 + u**2 - 2. Let v be f(2). Suppose 5*a + 5 = -3*q + 23, 2*q + v = 4*a. Suppose -11 + q = -5*l. What is the remainder when 4 is divided by l?
0
Let h(q) = -q**3 - 7*q**2 + 5*q - 1. Let j be h(-8). Let n = j + -17. What is the remainder when 10 is divided by n?
4
Let y = 31 - 22. Calculate the remainder when y is divided by 4.
1
Let d be 15/(-2)*(-160)/24. Let i(r) = r**2 - 6*r + 5. Let g be i(6). Suppose -5*z - d = -g*u - 0*z, z - 4 = 0. Calculate the remainder when 27 is divided by u.
13
Let u = 104 - 56. Let w(h) = h**3 + 4*h**2 - 4*h - 4. What is the remainder when u is divided by w(-3)?
14
Suppose -20 = 2*g - 230. Calculate the remainder when g is divided by 27.
24
Let t be (6/(-4))/(3/(-8)). Suppose t*k = -0*w - 2*w + 34, -4*w = -k - 23. Calculate the remainder when 38 is divided by 2/w + (-138)/(-7).
18
Let b(s) = s**3 - 6*s**2 - s + 6. Let i be b(6). Suppose -2*r + 19 + 7 = i. Calculate the remainder when r is divided by 3 + (2 - (-1 + 1)).
3
Suppose -3*z = z - 60. What is the remainder when 44 is divided by z?
14
Let u be (1/(-1))/(1/(-1)). Calculate the remainder when u/(-4) + 123/12 is divided by ((-3)/(-4))/(2/16).
4
Let b = -10 - 0. Let q = 25 + b. Calculate the remainder when 29 + 0/2 + 0 is divided by q.
14
Suppose -7 - 3 = -5*a. Let s be (-1 + a/1)*1. What is the remainder when 18 is divided by 1 + -2 + s + 10?
8
Suppose -8*x - 5*x + 585 = 0. What is the remainder when x is divided by 24?
21
Let k(i) = -1 + 3 + 5*i**2 - 4*i**2 + 2*i. What is the remainder when k(5) is divided by 13?
11
Suppose -25 = -5*m, -76 = -5*q + 3*q + 2*m. Let n = 1 + 10. What is the remainder when q is divided by n?
10
Let c = 2 - -2. Let i(q) = 2*q**2 - 2*q. Calculate the remainder when i(c) is divided by (-3)/(-2)*(-26)/(-3).
11
Let x = 4 + -3. Let s = x + 1. What is the remainder when s is divided by (1 - (0 - -1)) + 2?
0
Let u be (-17)/(-5) - (-3)/5. Let n be (8/(-3))/((-2)/12). Suppose u*j - n = 24. What is the remainder when 38 is divided by j?
8
Suppose t - 3*b - 17 = 0, -2*t + 5*b - 5 = -42. Suppose 0 = 3*k - 3*y + 8 - 32, -5*k - 4*y = -49. Calculate the remainder when t is divided by k.
8
Let b(z) = z + 29. Calculate the remainder when 30 is divided by b(-18).
8
Suppose -3*r - 3*m = -8*r + 35, 3*r - 3*m - 21 = 0. What is the remainder when 27 is divided by r?
6
Let g(k) = 5*k - 11. Suppose 3*b + 0*f - 131 = 2*f, -178 = -4*b + 2*f. What is the remainder when b is divided by g(7)?
23
Let j = 107 + -97. Calculate the remainder when 59 is divided by j.
9
Let a = -2 - 7. Let t be 6/a - (-186)/9. Suppose 2*c - 4*y - 108 = 0, -3*c = -2*y - t - 134. Calculate the remainder when c is divided by 17.
16
Suppose l + 5*r - 8 = 0, 0*l + 3*r - 8 = -l. Calculate the remainder when 1 + -1 + 15 + 0 is divided by l.
7
Let u(g) = -5*g + 4. What is the remainder when 25 is divided by u(-2)?
11
Let t be (-9)/(-15) - 3/5. Calculate the remainder when (96 - 4)/(2 - t) is divided by 3/(-9) + 147/9.
14
Let t(n) = n**2 + 3*n - 7. Let p be t(-5). Suppose q = c + p + 2, -q + 4*c = -2. Calculate the remainder when 22 is divided by q.
4
Suppose -4*w = s - 540, 15 - 141 = -w + 2*s. Calculate the remainder when 49 is divided by (-9)/(-36) + w/8.
15
Let q = -11 + 21. Suppose -12*p + 361 = -95. What is the remainder when p is divided by q?
8
Suppose 5 - 10 = -5*g. Let t be (g*-2 + 1)*1. What is the remainder when 222/8 - t/4 is divided by 15?
13
Let b(a) = -a**3 - 10*a**2 - 11*a + 3. Let s be b(-8). Let o = s - -54. Calculate the remainder when o is divided by 10.
7
Let b = -11 - -23. What is the remainder when 35 is divided by 2/6 - (-212)/b?
17
Suppose -2*g = -3*a, 4*a - a - 4*g = -6. Suppose a*c + c - 27 = 0. What is the remainder when 33 is divided by c?
6
Suppose 0 + 4 = -o, 4*f + 2*o = -128. Suppose 2*u - 81 = -5*z, 0 = 2*z + z + 5*u - 41. What is the remainder when z is divided by (4/(-10))/(2/f)?
5
Let t(s) = s + 13. What is the remainder when (3 + 44/(-10))/((-4)/20) is divided by t(-9)?
3
Let w = 5 - 1. Suppose 4*f - w = 12. Suppose f*t + t = 2*h + 21, -5 = 5*h - 3*t. What is the remainder when 2 is divided by h?
0
Let m(b) = -b**2 + 12*b - 1. Let j be m(12). Calculate the remainder when -9*(4 + -3)*j is divided by 2/(-4)*(-9 - 1).
4
What is the remainder when 298/10 + (-1)/(-5) is divided by (-2 + 18)*(-2)/(-2)?
14
Let c(r) = -2*r**2 + 75*r - r**3 - 7 - 69*r + 3. Suppose 3*t = z - 20 + 5, -z - t + 3 = 0. Calculate the remainder when z is divided by c(-4).
2
Let n(c) = -c**3 - 6*c**2 + 13*c + 3. Let p = 53 + -38. What is the remainder when n(-8) is divided by p?
12
Let w = 127 - 85. What is the remainder when w is divided by (0 + -1 + -21)/(-1)?
20
Suppose -6*v = -4*v - 44. What is the remainder when 64 is divided by v?
20
Let v = 20 + -5. What is the remainder when 252/(-27)*(-1 + -2) is divided by v?
13
Suppose 7*c + 45 = 2*c. Let h = c + 40. Let v = -19 + h. Calculate the remainder when 35 is divided by v.
11
Let o(y) = y**3 + y**2 - 4*y + 19. What is the remainder when 71 is divided by o(0)?
14
Suppose 3*y = -5 + 14. Suppose -y*b + 0*b + 189 = 0. Calculate the remainder when b is divided by 22.
19
Let i be (1 + (-665)/3)*-12. Let h be i/44 - 2/11. Suppose 0 = 2*w + 5*f - 17, -h = -5*w - 0*f + 5*f. Calculate the remainder when w is divided by 4.
3
Let d be 15/6 - 1/2. Let r be (-66)/(-24) - 3/4. Suppose -v + 4*y - 14 = -2*v, -r*y