 = -y**2 + 6*y + 6. Calculate the remainder when f(z) is divided by 4.
2
Suppose -d + i + 131 = -i, 3*i = -3*d + 402. Suppose -19 - d = -4*t. What is the remainder when t is divided by 13?
12
Let w = -5 - -5. Let t = 13 + w. What is the remainder when 51 is divided by t?
12
What is the remainder when (-25)/(-5)*1/1 is divided by 3?
2
Let n = 5 + -2. Let q be 1 + n - (7 + -5). Suppose 0 = h - q*l - 37, -4*l + 21 + 139 = 4*h. Calculate the remainder when h is divided by 14.
11
Let f = -7 + 20. Suppose 2 = -q, -j = 3*j + 4*q - 4. Suppose -4*h - 44 = -4*g, -7*h = -g - j*h + 23. What is the remainder when f is divided by g?
6
Let a = 2 - -13. What is the remainder when 44 is divided by a?
14
Suppose 0 = 4*q - 2*s - 56, 4*q + s = 40 + 10. Let z = 20 - 8. Let b = z - 7. Calculate the remainder when q is divided by b.
3
Suppose -2*q + 2*u - 20 = 6*u, -5*q - 5*u = 75. Let h = q - -24. Suppose -2*t - 9 = -6*t + 5*m, 2*m - 36 = -5*t. Calculate the remainder when t is divided by h.
2
Let k = 4 + 3. Let u = -1 + k. Calculate the remainder when 11 is divided by u.
5
Suppose 2*o + 0 = -5*x + 6, 3*o = x - 8. Suppose 2*j - 5 - 3 = 0, 5*h - 28 = -x*j. What is the remainder when h is divided by 3?
1
Suppose l - 2*r - 4 = 2*r, 12 = -2*l + 4*r. Let v = 25 + -14. Let m = v - l. What is the remainder when m is divided by 14?
13
Let l(f) = -5*f - 27. What is the remainder when 22 is divided by l(-8)?
9
Let w = 18 + 100. Calculate the remainder when w is divided by 61.
57
Let y(z) = 4 - 3 - 7 - 3 + 2*z. Let p be y(6). Suppose p*n - 212 = -n. Calculate the remainder when n is divided by 14.
11
What is the remainder when 5080/104 + 7 + 2/13 is divided by 20?
16
Suppose -5*k + 15 = -3*r, -r - 10 = r - 4*k. Let y = 13 - r. What is the remainder when (-1 + 2 - 2)*-35 is divided by y?
17
What is the remainder when 207 is divided by 31 + (6/(-4) - 7/(-14))?
27
Let z(p) = -p**3 + 9*p**2 + 7. Let q = 4 + 0. Suppose 4*s = -5*j + 33, q*s = 3*j + j - 48. What is the remainder when z(j) is divided by 4?
3
Suppose q + 1 = 3*s, 2*s + 3 = 3*q - 6*q. Let n be 1/(1/(q - -3)). Suppose n = 2*v, -d + 5*v - 1 = 3. What is the remainder when 2 is divided by d?
0
Let z = -74 - -127. Calculate the remainder when z is divided by ((-27)/4)/(2/(-8)).
26
Let u(i) = 6*i + 17. Let f be u(-7). Let b = -9 - f. Calculate the remainder when 46 is divided by b.
14
Let r = -318 - -582. Suppose r = 9*p - 5*p. Calculate the remainder when p is divided by 23.
20
Let b(t) = -t + 6. Let f be b(6). Suppose f = -3*i - 4*g + 117, -5*i - 128 + 323 = 5*g. Calculate the remainder when i/2*4/3 is divided by 9.
8
Calculate the remainder when 55 is divided by ((-10)/7)/((-12)/252).
25
Suppose 5*s = 54 + 26. Let d(u) = -u**3 + 13*u**2 - 10*u - 14. Let f be d(12). Let n = s - f. Calculate the remainder when 22 is divided by n.
4
Let g = -27 + 40. Suppose -n - 22 = -5*h - 0*n, 5*h - g = 4*n. What is the remainder when 14 is divided by h?
4
Let r(g) = 3*g**2 - 4*g + 2. Let d be 5 - (-1)/((-2)/4). Calculate the remainder when 66 is divided by r(d).
15
Let y = 27 + 22. Calculate the remainder when y is divided by 13.
10
Suppose -4*z + k = -2*k - 27, 0 = -5*z - 3*k. Calculate the remainder when 7 is divided by z.
1
Let u(m) = -4*m**3 + 11*m**2 - 5*m - 8. Let b(r) = -r**3 + r**2 - 1. Let p(i) = -5*b(i) + u(i). What is the remainder when p(-3) is divided by 14?
11
Suppose -3*a + a = -t - 13, 4*t + 12 = 0. Let h = -13 + 22. Calculate the remainder when h is divided by a.
4
Let c(p) = -2*p - 7. Let k be c(-6). Let t(o) = 5 - 1 + k - 4*o. Calculate the remainder when t(-7) is divided by 13.
11
Let c be 2*13 + 4/(-2). Suppose 2*d - c = b - 0*b, 3*d - 36 = -3*b. Suppose 3*n - 4*n - 5*x = -27, -4*x + 4 = 0. What is the remainder when n is divided by d?
10
Let n(w) = w + 1. Let p be n(5). Let f(g) = g**2 + 3*g - 2. Calculate the remainder when f(p) is divided by 18.
16
Suppose -3*u + 14 = -19. Let g(z) = -z**3 + 11*z**2 + 14*z + 8. Calculate the remainder when g(12) is divided by u.
10
Suppose -33 = 4*w + 7. Suppose 25 = -0*v - 5*v, 5*v = 5*k - 110. What is the remainder when k is divided by (-4)/w + (-172)/(-20)?
8
Suppose 0*t = 2*d + t - 33, -4*t = -2*d + 18. What is the remainder when 27 is divided by d?
12
Let j = 127 + -59. What is the remainder when j is divided by 20?
8
Let i be (9/6)/(3/(-8)). Calculate the remainder when i/10 - (-414)/10 is divided by 14.
13
Calculate the remainder when 38 is divided by 165/(-22)*(20/(-6) - -2).
8
Suppose 82 = 6*r - 2. Let d = 56 - 15. What is the remainder when d is divided by r?
13
Let t(o) = o**3 + o**2 + 62. Let j be t(0). Let b = -20 + j. What is the remainder when b is divided by 15?
12
Let h be -1 - -17 - (0 + -1). Let s = h + -9. What is the remainder when 29 is divided by s?
5
Suppose -21 = -j + 2*s, -s + 2 - 5 = 0. Suppose -3*l - f + 2*f = -133, 2*l - 2*f = 90. Calculate the remainder when l is divided by j.
14
Let h = 3 + -4. Calculate the remainder when 58 is divided by 0 + 1 - 19/h.
18
Let g(u) = -4*u**3 + u**2. Suppose -5*b + 15 = 5*f, 12 = -5*f + 2*b - 1. Let x = 13 - -1. Calculate the remainder when x is divided by g(f).
4
Suppose -x + 4*x + s = 27, 15 = -5*s. Let i = 14 - x. What is the remainder when ((-1)/3)/(i/(-300)) is divided by 13?
12
Suppose p = -0*p + 2. Suppose -4*y + 2*l = -76, -5*l = -3*y - p*l + 63. Calculate the remainder when 65 is divided by y.
14
Suppose -9*d + 549 = -189. Calculate the remainder when d is divided by 44.
38
Calculate the remainder when (-8 + -53)*(0 + -1) is divided by ((-16)/5)/((-3)/15).
13
Let a(f) = -2*f - 3. Suppose 0*q = q - 15. Suppose q = -2*o - 3*o. What is the remainder when 11 is divided by a(o)?
2
Suppose 4*u + 0 = 4. Suppose -u = -b + 5. Let h(y) = -4*y - 3. What is the remainder when h(-5) is divided by b?
5
Let u(l) = -2*l + 1. Suppose -6*q = -8*q + 36. Let i = q - 15. What is the remainder when u(-5) is divided by i?
2
Let w = -14 - -32. Calculate the remainder when w is divided by 17 + (-2 - 1) + -4.
8
Let l = 30 + -16. Suppose 2*r + 198 = 5*f, f - r + 81 = 3*f. What is the remainder when f is divided by l*1 + (1 - 1)?
12
Suppose -82 = -5*g + 28. What is the remainder when 43 is divided by g?
21
Let s(f) = -3*f - 3. Let c(l) = l**3 - 4*l**2 - 3*l + 1. Suppose j - g - 1 = 8, 4*g - 9 = -5*j. What is the remainder when c(j) is divided by s(-3)?
5
Let l be 133/28 - 3/(-12). Let n be (1/1)/(1/6). Let w = n + l. What is the remainder when 30 is divided by w?
8
What is the remainder when 29 is divided by 105/(-28)*16/(-6)?
9
Let d = -62 + 117. Calculate the remainder when d is divided by 29.
26
Let j(z) = z**2 + 3*z + 1. Let v(p) = p**2 + 6*p - 4. Let b be v(-6). What is the remainder when 18 is divided by j(b)?
3
What is the remainder when 65 is divided by (-304)/(-14) + 4/14?
21
Suppose -4*g + 23 = u, 3 = 3*u - 6. Suppose -1 = x - 4. Suppose 0 = -4*c - x*t + 137, -4*t + 91 = g*c - 80. What is the remainder when c is divided by 18?
17
Calculate the remainder when 93 is divided by (-2 + -1 + 35)/1.
29
Suppose -3*i + 264 = i. What is the remainder when i is divided by 18?
12
Let t(z) = z + 3. What is the remainder when 46 is divided by t(9)?
10
Let s = 0 + 7. Suppose 4*i = -3*m + 77, -2*i = -4*m - s - 15. Suppose 3*c + 2*c = 30. Calculate the remainder when i is divided by c.
5
Suppose -3*d + 29 = 2*o - 0, -2*o = 2*d - 32. Calculate the remainder when 74 is divided by o.
17
Let t be (-2 - 0)*1 - -10. Suppose 0 = -2*l + 3*h - t + 34, -2*l - 5*h = -26. Calculate the remainder when l is divided by 7.
6
Suppose -f - 3 = 0, 13 = 4*z + 3*f - 2*f. Let i be (-2)/z + (-75)/(-6). What is the remainder when (-8)/i*75/(-2) is divided by 9?
7
Let j = 12 + 2. Calculate the remainder when 25 is divided by j.
11
Let y(s) = -s**3 - 8*s**2 - 9*s - 1. Suppose -f + 3*r + 12 = 5*r, 2*f = -5*r + 26. What is the remainder when y(-7) is divided by f?
5
Suppose -5*x + 6*x = 7. What is the remainder when 26 is divided by x?
5
Calculate the remainder when 84 is divided by 12/(-28) - (-610)/35.
16
Suppose -3*k = -4*q + 74, 0 = 4*q - 0*k - 2*k - 72. Calculate the remainder when ((-26)/4)/(2/(-20)) is divided by q.
14
Suppose 30 = i + 5*s, i + 2*i + 2*s = 25. Suppose 5*y = d - 4, d = -y + 2*y + 4. What is the remainder when ((-63)/6)/((-3)/d) is divided by 