 35 = -5*f + 20, 2*r = 5*f - 55. Calculate the remainder when 41 is divided by f.
8
Let j(y) = -y**2 - 11*y - 5. Let z(p) be the third derivative of 23*p**4/8 - p**3/6 + 2*p**2. Calculate the remainder when z(1) is divided by j(-7).
22
Let v(n) = n**2 + 6*n - 4. Let h be v(-7). Let b be h/((27/12)/3). Suppose -b*m = -357 + 117. What is the remainder when m is divided by 31?
29
Let m(i) = -19*i - 4. Let z(r) = 2*r**3 - r. Let w be ((-48)/(-60))/(4/10). What is the remainder when m(-3) is divided by z(w)?
11
Suppose 4*k - 12 = -2*d, 3*k + 64 = 4*d + k. Calculate the remainder when d is divided by ((-165)/(-10))/((-36)/(-24)) + -7.
2
Suppose 9*x - 48 = -3*x. Suppose 3*o = -x*o + 266. Calculate the remainder when 227 is divided by o.
37
Let m = 33 - 31. Suppose -n - 3*n + 15 = -3*q, 3*n = 4*q + 6. What is the remainder when n is divided by m?
0
Suppose -2*y = y - 2*d - 1, y + 3*d + 18 = 0. Let q(v) = -v**3 + 2*v**2 + 2*v. Let r be q(4). Let h = y - r. What is the remainder when 103 is divided by h?
19
Let x = -680 + 1408. What is the remainder when x is divided by 27?
26
Suppose -343*a = -380*a + 1776. Calculate the remainder when 248 is divided by a.
8
Suppose 12*p - 1449 = -11*p. Let x = -19 - -35. What is the remainder when p is divided by x?
15
Let w(j) be the first derivative of j**2/2 + 8*j - 1. Suppose 4*l + 16 - 44 = 0. What is the remainder when w(4) is divided by l?
5
Suppose -3*p = -v + 12, -4*v - 3*p + 65 = 32. Suppose 4*f = 2*z + 2, -z + 8 = 3*z + 4*f. Calculate the remainder when 100/6 + z/3 is divided by v.
8
Suppose 0 = -2*y + 4*y + 5*z + 68, -4*y - 160 = -2*z. Let c = y - -47. Calculate the remainder when 14 is divided by c.
6
Let y(q) = 28*q + 291. Let x be y(-11). Let d be (0 - 62/8)*-4. Let s = x + d. Calculate the remainder when s is divided by 8.
6
Suppose 4*d = -3*f + 2*d + 9, 0 = -4*d + 12. Calculate the remainder when 36 is divided by f.
0
Suppose 3*t + 5*o - 68 = 0, -t = -5*o + 4*o - 12. Let p(c) = -3*c**3 + 4*c**2 + 15*c - 10. What is the remainder when p(-3) is divided by t?
14
Let r be -13 + ((-4)/(-18) - 96/(-54)). Let u = r + 61. What is the remainder when u is divided by 26?
24
Let p(w) = w**2 + 2*w - 69. Calculate the remainder when p(9) is divided by 15.
0
Suppose 6 = -v - 1. Let x = v - -13. Calculate the remainder when ((-4)/(-2))/((-4)/(-38)) is divided by x.
1
Let z(s) = s**3 - 16*s**2 + 27*s + 17. Calculate the remainder when (-204)/(-15) - (-4)/10 is divided by z(14).
2
Suppose 14 - 3 = 4*x - f, 0 = -2*f + 2. Let z = 71 - 21. Suppose 0 = -3*v + z - 17. Calculate the remainder when v is divided by x.
2
Let d = -120 + 128. What is the remainder when 95 is divided by d?
7
Suppose 504 - 108 = 3*p. Calculate the remainder when p is divided by 24.
12
Let a = -174 - -350. Suppose 4*h + a = 3*q + q, -3*h + 78 = 2*q. Calculate the remainder when 119 is divided by q.
35
Let i(z) = -2*z + 2*z + 14*z - 23 - 6*z. What is the remainder when i(10) is divided by 21?
15
Suppose 427 = 3*i + 2*r, 214 + 198 = 3*i - r. What is the remainder when i is divided by 70?
69
Suppose -50*b = -57*b + 2051. Calculate the remainder when b is divided by 21.
20
Let t be (-30)/(130/(-280) - 4/14). Let i = 182 - t. Calculate the remainder when i is divided by 24.
22
Suppose 254 = 10*j - 526. Let p = 119 - j. Calculate the remainder when p is divided by 6.
5
Let i be (-109)/(-3) + (-3)/9. Let s be (-2513)/(-9) - i/162. Suppose 0 = -4*f + 3*a + a + 376, 3*f = 2*a + s. Calculate the remainder when f is divided by 23.
22
Let s(x) = 4*x**3 + 3*x**2 + 3*x + 2. Let q be s(-2). Let f be (-2)/3 + (-88)/q. Suppose -7 - f = -w. Calculate the remainder when w is divided by 4.
2
Let p(x) = -2*x + 114. Let n = 20 - 20. Let q be p(n). Suppose -5*i + q - 24 = 3*y, -3*y + 54 = 3*i. Calculate the remainder when 52 is divided by i.
16
Let h(g) = -2*g**3 + g**2 - 5*g - 4. Let x be h(5). Let s = x + 374. Suppose -b = 3*u - 19, -b + u = -5*b + s. What is the remainder when b is divided by 8?
7
Let y be (-4)/(-22) - (-52)/(-44). Let o be (-10)/5 + (y - -81). Let m = 9 + o. Calculate the remainder when m is divided by 22.
21
Let y = -442 - -455. Calculate the remainder when 77 is divided by y.
12
Let b = -81 + 59. Let p = -7 + 16. What is the remainder when (-1)/(b/4) - 4368/(-176) is divided by p?
7
Suppose o = 4*r + 3*o - 140, -5*r - 2*o + 175 = 0. Let i = -9 - -27. What is the remainder when r is divided by i?
17
Suppose -x - 2*h - 31 = 0, -4*x + h - 59 = -4*h. Let y = 3 - x. Suppose -5*f - 27 = -8*f. What is the remainder when y is divided by f?
6
Let x be 2 - 4 - (-150)/3. Suppose x = 6*z - 18. What is the remainder when 65 is divided by z?
10
Let w be (-3)/((-2)/((-60)/(-18))). Suppose w*n - 30 - 45 = 0. Calculate the remainder when 29 is divided by n.
14
Calculate the remainder when 233 is divided by (-6 - (-195)/25)*(-20)/(-6).
5
Suppose 45 = -d + 4*d. Let z(i) = i**3 - 8*i**2 + 7*i. Let h(p) = 3*p - 7. Let a be h(5). Calculate the remainder when z(a) is divided by d.
11
Suppose 2*q = 2*t + 16, 2*t = 3*q + 4*t + 1. Suppose -2*u - q = -37. What is the remainder when u is divided by 4?
1
Let x = 25 + -16. Suppose x*k - 120 = 4*k. Calculate the remainder when 117 is divided by k.
21
Calculate the remainder when 1/4 + (-4)/(64/(-1980)) is divided by 10.
4
Let c(t) = -3*t**2 + 11*t - 3. What is the remainder when 7 is divided by c(2)?
0
Suppose -5 = -15*s + 14*s. Suppose 5*z - 82 = -4*w, 10 = -s*z - w + 98. What is the remainder when 33 is divided by z?
15
Let q = -38 - -38. Suppose 2*i - 31 + 23 = q. What is the remainder when i is divided by 2?
0
Let n = 416 - 408. What is the remainder when 28 is divided by n?
4
Let u(r) = -r**3 + 8*r**2 - 3*r - 10. Suppose 3*y - 62 + 254 = 0. Let a = y - -134. What is the remainder when a is divided by u(7)?
16
Suppose 4*f - 5*m = 59, 81*f = 78*f + 5*m + 43. Suppose -5*k + 285 = -0*x + 5*x, 15 = -3*k. What is the remainder when x is divided by f?
14
Let x(w) = 6*w - 1. Let j = 1690 - 1528. What is the remainder when j is divided by x(7)?
39
Let i(q) = -13*q - 4. What is the remainder when i(-8) is divided by 22?
12
Calculate the remainder when 2*(1 + (-17)/(-8))*12 is divided by 49.
26
Suppose 10*s + 328 = 12*s. Calculate the remainder when s is divided by 56.
52
Suppose -2*y = -4*y - 10, -5*y - 67 = d. Calculate the remainder when 53 is divided by (d/(-9))/(3/9).
11
Suppose -2*g = -32 - 70. Suppose -6*m - 2*n = -m - 494, -3*m + 2*n = -290. Calculate the remainder when m is divided by g.
47
Let n = -383 + 434. Calculate the remainder when n is divided by 6.
3
Suppose 0 = 2*z - 2*u - 282, -4*z + u + 701 = 128. Let y = z - 71. Calculate the remainder when y is divided by 25.
23
Let t be -2 + (3 - 51)/(-3). Let o = 19 - t. Suppose -3*g = 5*y - 9, y - o*g = -4*y + 25. What is the remainder when 4 is divided by y?
1
Suppose -y + 6*y - 4*t = 461, 7*y = -t + 652. Calculate the remainder when y is divided by 37.
19
Let z(p) = 9*p - 1. Calculate the remainder when z(2) is divided by 638/2233 + 26/7.
1
Let s be (11/(220/(-344)))/(2/(-5)). Let k = s + -19. Calculate the remainder when 66 is divided by k.
18
What is the remainder when -1*(14/7)/(2/(-694)) is divided by 26?
18
Suppose 5*z - 10*z = 0. Suppose -3*l - 16 + 1 = z. Let p = l - -7. Calculate the remainder when 5 is divided by p.
1
Let c = 17 - -2. Let g = 17 + -15. What is the remainder when 374/4 + (-1)/g is divided by c?
17
Suppose 16 = -4*o + 6*o. Suppose o*a - 68 = 6*a. Suppose -4*k + a = 2*n, 3*k + 2*k = -n + 32. What is the remainder when 20 is divided by n?
6
Let o = 1717 - 971. Calculate the remainder when o is divided by 44.
42
Suppose 47 = 2*r - 11. Let g(q) = 2*q**2 - 6*q + 3. What is the remainder when g(-7) is divided by r?
27
Suppose -11*y = -6*y - 255. What is the remainder when 611 is divided by y?
50
Let q = 462 - 423. What is the remainder when q is divided by 16?
7
What is the remainder when 213 is divided by 536/30 + 24/180?
15
Let r = 2 + 2. What is the remainder when 2/(11 + -18 + (-111)/(-15)) is divided by r?
1
Suppose -n + 64 = -3*p, p = 2*n - 2*p - 131. What is the remainder when n is divided by 35?
32
Let h be 2*2/((-12)/(-39)). Let y(r) = -r**3 + 14*r**2 - 10*r - 11. Calculate the remainder when y(h) is divided by 3.
1
Let r(o) = -7*o + 2. Suppos