1)/(-3) + 20/(-6). Let a be (-1)/(-3)*(v + 6). Let t = a + 1. What is the remainder when 5 is divided by t?
1
Let t(a) = 19*a - 3. Let x be t(3). Suppose -6*n + g + x = -n, 3*g + 19 = 2*n. Calculate the remainder when 20 is divided by n.
9
Let s = 3 + -1. Suppose d + 53 = 3*h, 6*d - s*d = h - 25. Suppose 50 = 4*k + 3*q - 97, 2*q - 10 = 0. What is the remainder when k is divided by h?
16
Suppose 5*x + 33 = 2*o - 1, -5*o = -3*x - 66. Calculate the remainder when 69 is divided by o.
9
Let h = 8 + 28. Calculate the remainder when h is divided by 10.
6
Let c be 0/(-2*(-1)/(-2)). Suppose c = 3*f + f - 428. What is the remainder when f is divided by 27?
26
Suppose z - 80 = -3*z. Let b be 4/6*30/4. Suppose -w - b = 0, 206 = 4*n - 5*w + 25. What is the remainder when n is divided by z?
19
Let k(z) = 9*z**2 - 15*z + 3. What is the remainder when k(4) is divided by 30?
27
Let a = -6 + 19. What is the remainder when 49 is divided by a?
10
Let u(g) = 14*g - 6. Calculate the remainder when u(4) is divided by 17.
16
Let w = -22 - -45. Calculate the remainder when w is divided by 8.
7
Let w = 3 - -6. Let u be (-90)/(-27)*(-6)/5. Let f = w + u. What is the remainder when f is divided by 3?
2
Let a = 5 + -3. Let w(p) be the second derivative of -p**4/12 - 7*p**3/6 - 3*p**2 - 3*p. What is the remainder when w(-5) is divided by a?
0
Let s(k) = k**3 + 5*k**2 - k + 4. Let y = -4 - 1. Calculate the remainder when 34 is divided by s(y).
7
Let h(n) = -22*n. Let g(u) = 44*u - 1. Let i(m) = 4*g(m) + 9*h(m). What is the remainder when i(-3) is divided by 21?
20
Suppose 0 = -o - 5*x + 174, -8*x + 373 = 2*o - 3*x. What is the remainder when o is divided by 50?
49
Suppose 2*i = 5 - 1. Suppose 0*d = -4*d - 2*g + 72, 4*d = i*g + 72. Let q(l) = -l - 15. Calculate the remainder when d is divided by q(-25).
8
Suppose 4*k - 124 = -5*s + 75, 0 = -5*s - 5*k + 195. Let w = s - 18. Let i = w + -13. What is the remainder when i is divided by 7?
5
Let y = 51 + -21. Let t = 17 + y. Calculate the remainder when t is divided by 25.
22
Let b(t) = -9*t + 6. Let k be b(-10). Suppose 2*p = -2*p + k. Calculate the remainder when p is divided by 13.
11
Suppose -2*q - 10*a = -7*a - 104, 5*q - 214 = 4*a. Calculate the remainder when q is divided by 16.
14
Let a be 24/4*21/2. Suppose i + 5*d = 2, 4*i - 4*d = i + a. What is the remainder when i is divided by 4?
1
Suppose -4*x + 5 = g + x, -4*g + 89 = -3*x. Calculate the remainder when 32 is divided by g.
12
Let f = -10 - -14. Suppose -34 = -x + f. Calculate the remainder when x is divided by 10.
8
Suppose 4*s = -0*m - 3*m - 4, -2*m = -4*s - 4. Suppose -2*o - 2*o + 16 = m. Suppose -10 = -3*t + 11. Calculate the remainder when t is divided by o.
3
Suppose -3*y = -10 + 1. Suppose y*z + r - 29 = 0, -2*z + 2*r = -r - 1. What is the remainder when 30 is divided by z?
6
Suppose 4*s = 36 + 24. What is the remainder when s is divided by 4?
3
Let j = -6 + 11. Suppose -i - 144 = -j*i. Calculate the remainder when i is divided by 19.
17
Let q(u) = u + 1. Let x be q(-3). Let a(j) = -j**3 + j**2 - 3*j - 1. Let w = 25 + 25. Calculate the remainder when w is divided by a(x).
16
Let q = 9 + -4. Let l(c) = c**3 - 4*c**2 - 6*c + 6. What is the remainder when 1 is divided by l(q)?
0
Suppose 3*p - 18 = -0*p. Suppose -p*o + 57 = -3. Suppose t - 6 = -0*t. What is the remainder when o is divided by t?
4
Let s(c) = 2*c**2 - 3*c - 9. Calculate the remainder when 43 is divided by s(4).
10
Let k(n) = n + 2. Let i be k(2). Suppose -2*t - 3*t = -2*w - 52, 2*t - 40 = -i*w. What is the remainder when (-1)/2 - (-69)/2 is divided by t?
10
Let l be -2*6*1/(-4). Suppose -3*w = r - 6*r + 35, l*r + 3*w = -3. Let z = 4 + -2. What is the remainder when r is divided by z?
0
Let d(a) = 2*a + 4. Let x be d(3). Let u = 66 - x. What is the remainder when u is divided by 19?
18
Let b(v) = 19*v - 3. Let x(r) = 2*r + 2. What is the remainder when b(2) is divided by x(5)?
11
Let b(m) = 2*m**2 + 2*m - 7. Calculate the remainder when b(-4) is divided by 9.
8
Suppose 0*c - 60 = -4*c. Let q = c + -11. What is the remainder when q is divided by 5 + -1 - (-1 - -3)?
0
Let i = 43 - 35. What is the remainder when 39 is divided by i?
7
Let i = -12 + 24. What is the remainder when 34 is divided by i?
10
Suppose 2*o + 60 = -3*j, -j + 4*o = -o + 20. Let p = 33 + j. Suppose -74 = -4*n + 2*n. Calculate the remainder when n is divided by p.
11
Let s(m) = -7*m**3 + m**2 + 3*m - 5. Let l be s(2). Let j = -14 - l. What is the remainder when j is divided by 19?
18
Suppose 0 = 6*s - s - 225. What is the remainder when s is divided by 1/((-1)/6)*-2?
9
Let y = 11 + -9. Suppose 60 = 3*m - 3*x, y*m + 5*x - 30 = 3. Calculate the remainder when 55 is divided by m.
17
Let m = -10 - -7. Let d(q) = 2*q + q**2 - 3*q + 2*q - 1. Calculate the remainder when 8 is divided by d(m).
3
Let k = 9 + 6. Suppose v + 1 = k. Calculate the remainder when 25 is divided by v.
11
Let f(g) = 14*g**2 - 5*g - 2. Let y be f(-3). Let k = y - 81. Calculate the remainder when k is divided by 20.
18
Suppose z - 1 = 2*n, 2*z - 3*z = -5*n - 1. Calculate the remainder when 6 is divided by z.
0
Let c(n) = 7*n - 1. Let s(v) = -v**2 - 4*v. Calculate the remainder when c(2) is divided by s(-2).
1
Suppose -4*o = -2*o + 5*x - 32, 0 = 2*o - 3*x. Suppose 0*t = -3*t. Suppose t = -3*m - m + 16. What is the remainder when o is divided by m?
2
Let m(w) = -w**2 + 5*w + 7. Suppose 0*c = 3*c - 6. Suppose -3 = -3*u + f - 0*f, -c*u + 2 = -f. Calculate the remainder when u is divided by m(6).
0
Suppose -2*n = 4*y + 6, 3*y + 2*y + n + 3 = 0. Suppose -c + 5*c - 12 = y. What is the remainder when c is divided by 2?
1
Let i be -1 - ((-30)/3 - 0). Let m = 19 - i. Let y = m - 7. Calculate the remainder when 7 is divided by y.
1
Suppose -w + 21 = 4*j, -w + 3*w + 4*j = 38. Suppose -3*m + 17 = g, 2*m + 2*g - w = 7*g. What is the remainder when m is divided by 4?
2
Let h = 108 + -68. Calculate the remainder when h is divided by 15.
10
Let p(o) = -20*o**3 + o**2 + o + 1. Suppose 5*n - 4 = 1. Suppose -n = 3*x - 25. Calculate the remainder when p(-1) is divided by x.
5
Suppose 0 = -4*s + 5*q + 95 + 33, -s + 4*q + 32 = 0. Suppose -93 - s = -5*v. Suppose 59 = 5*c - 6. Calculate the remainder when v is divided by c.
12
Suppose -2*d = -2 - 4. Suppose d*r - 6 = -n, -5*n + r + 82 = 3*r. Calculate the remainder when n is divided by 10.
8
Suppose -3*l - l - 178 = -2*u, 0 = -3*l - 5*u - 101. Suppose 48 = 2*g + 4. What is the remainder when g is divided by 4/14 - 324/l?
6
Suppose -7 = -4*d + 29. Let c(n) = 3*n - 3. Let x be c(2). What is the remainder when 1 - (x - (27 + 0)) is divided by d?
7
Suppose 0 = 15*k - 11*k - 144. Calculate the remainder when k is divided by 13.
10
Calculate the remainder when 1/2*(-2 - -100) is divided by 26.
23
Suppose 0 = i - 4, 0 = -0*o + 2*o - 5*i - 214. Calculate the remainder when o is divided by 30.
27
Suppose -4*o + 174 = -26. What is the remainder when o is divided by 29?
21
Suppose g - 4*i = 16 + 12, 3*g = 3*i + 66. What is the remainder when g is divided by 12?
8
Let n = -16 + 25. Calculate the remainder when 25 is divided by n.
7
Let h(q) = q**2 - 4*q + 3. Let l be h(2). Let x = 1 - l. Calculate the remainder when 5 is divided by x.
1
Let d = 18 - 7. Suppose 0*m + 6 = 2*j - 3*m, 0 = -4*j + 4*m + 12. Suppose 3*x - 4*r = -4, -x - r + 11 = j. Calculate the remainder when d is divided by x.
3
Let g(n) = -3*n**2 - 17*n - 9. Let d(w) = 7*w**2 + 34*w + 17. Let h(q) = 2*d(q) + 5*g(q). What is the remainder when h(-15) is divided by 10?
9
Let s be (4/5)/(2/5). Suppose 0 = -4*c + s*c + 12. What is the remainder when 21 is divided by c?
3
Let f = -2 - -8. Let r(q) = -2*q**2 - q. Let a(z) = -z**2 - z. Let k(j) = -4*a(j) + r(j). Calculate the remainder when k(-3) is divided by f.
3
Suppose -622 = -12*r - 34. What is the remainder when r is divided by ((-3)/6)/(2/(-52))?
10
Suppose 0*h - 2*h = -5*u + 69, -h - 54 = -4*u. Let p = 6 - 8. What is the remainder when 296/6 + p/(-3) is divided by u?
11
Suppose 0*s + 321 = 3*s. Suppose -4*r + 83 = 3*j, 3*r = 7*r - 5*j - s. What is the remainder when r is divided by 6?
5
Suppose -2*n - 92 = -3*f, 6*f - f + 4*n - 168 = 0. Calculate the remainder when f is divided by 11.
10
Suppose -4*n - 78 = -5*i, -4*i - n = -87 + 12. What