Suppose -486 = -9*d - 45. Calculate the remainder when 91 is divided by d.
42
Let t(m) = 41*m - 312. Let v(b) = b**2 + 58. What is the remainder when v(0) is divided by t(8)?
10
Suppose -k = 3*o + o - 64, -2*o + 242 = 4*k. Let x = k + -53. Calculate the remainder when 26 is divided by x.
5
Let j(i) = i**3 - 15*i**2 + 14*i + 4. Let x be j(14). Suppose -3*d + 82 = -x*b, b + 22 + 5 = d. What is the remainder when 26/91 + 341/7 is divided by d?
23
Let t(b) = 5*b - 5. Let m be t(-3). Let o = -17 - m. Suppose 82 = -r + o*r. Calculate the remainder when r is divided by 11.
8
Suppose -4*b = 4*m - 592, b - 98 = -3*m + 46. Suppose -5*c = -2*n - b, 60 = -c + 3*c - 2*n. What is the remainder when c is divided by 8?
6
Let w = 377 - 292. What is the remainder when w is divided by 11?
8
Let k(a) = 5*a**2 - 1. Let n be k(-1). Suppose 3*l = n*w - 31, -10 - 33 = 3*l + 2*w. Let x = 22 + l. What is the remainder when 24 is divided by x?
6
Let j = -8 - -12. Let t be (4/10)/(j/220). Let y = -11 + t. What is the remainder when 19 is divided by y?
8
Let h(f) = -14*f - 47. What is the remainder when 107 is divided by h(-4)?
8
Let v be 16/7 + (-6)/21. Suppose 0*b - 4*b = -2*q - 14, 5*b - 20 = v*q. What is the remainder when 24/9*60/8 - -3 is divided by b?
5
Suppose 2*d - 10 = -3*n + 8*n, -35 = -d - 5*n. What is the remainder when 87 is divided by d?
12
Let w be 2/(-16)*-2 - (-351)/(-12). Let s = -21 - w. What is the remainder when 12 is divided by s?
4
Suppose 2*u - 5*a - 20 = -u, -3*u + 4*a = -25. Suppose 18 = 3*y - 5*t - 22, -5*t = -y + 20. Calculate the remainder when u is divided by y.
5
Suppose 0 = -2*f + 6. Suppose f*m - 165 = -2*m. Calculate the remainder when m is divided by 9.
6
Let p(j) = j**3 - j**2 - j. Suppose 3*c - 314 = -3*l - 89, -302 = -4*c - 5*l. Let g = -17 + c. What is the remainder when g is divided by p(3)?
11
Let b = 40 + -29. Let s = -6 + b. Let o(d) = -12*d**3 + 2*d**2 + d. Calculate the remainder when o(-1) is divided by s.
3
Let s = -1829 - -1931. Calculate the remainder when 712 is divided by s.
100
Suppose 82 = -x + 108. What is the remainder when 43 is divided by x?
17
Suppose 8*c - 1071 = -13*c. What is the remainder when c is divided by 15?
6
Suppose -10*d - 19*d + 1392 = 0. What is the remainder when d is divided by 38?
10
Let v(o) = -3 - o + 3 + 7. Let l be v(4). Suppose 0 = -l*b + 12, 3*s = -2*b + 5*b + 21. Calculate the remainder when 43 is divided by s.
10
Let z be 17 + (-5)/((-5)/3). Let r = z + -16. Suppose 4*q - 5*t = q + 78, 12 = r*t. Calculate the remainder when q is divided by 11.
9
Let z be 6/15 - (-826)/35. What is the remainder when 67 is divided by 159/9 + (-16)/z?
16
Suppose 3*z - w = 42, -4*w - 38 = -z - z. What is the remainder when 922 is divided by z?
12
Let s(n) = 21*n + 40. Let m be s(12). Suppose 4*q = -3*d + m, -2 = -2*q + 4*d + 122. Calculate the remainder when q is divided by 24.
22
Calculate the remainder when -1*1*(-129 - -6) is divided by 21.
18
Let n = -29 + 73. Suppose 2*v = -3*z - 4 + 32, -2*v = 5*z - n. What is the remainder when 38 is divided by z?
6
Let n(x) = x - 7. Let t be n(5). Let c be ((-6)/(-4))/(195/(-2600)). Let i = t - c. Calculate the remainder when 35 is divided by i.
17
Suppose 0 = 2*t + 5*c + 17, 5*t - 2*c = -7*c - 35. Let a(v) = -v**3 - 5*v**2 + 7*v + 8. Calculate the remainder when 1 + 3 + 2 + -3 is divided by a(t).
1
Suppose 0 = -a + 4*a + 51. Let y = a - -31. Suppose -5*d - 9*d = -770. Calculate the remainder when d is divided by y.
13
Let w be (-2 + (-18)/(-12))/(1/(-6)). Suppose -w*o = 5*g - 48, -o + 19 = 5*g + 3. Let v = 23 + 7. Calculate the remainder when v is divided by o.
14
Suppose -206 = 2*y - 514. What is the remainder when 451 is divided by y?
143
Suppose 8*o = 2*o + 18. Suppose -4*r + o*r - 134 = 0. What is the remainder when r/(-3) + 1/3 is divided by 23?
22
Let d = -1330 + 3673. Calculate the remainder when d is divided by 35.
33
Suppose 0 = -3*n + 2*n + 4. Suppose -42 - 15 = -3*o + 3*r, -26 = -2*o - n*r. What is the remainder when 62 is divided by o?
11
Let w = 77 - 41. Suppose -w = m - 139. Calculate the remainder when m is divided by 27.
22
Let h(p) be the second derivative of 4*p**3/3 + 9*p**2/2 + 11*p. What is the remainder when h(4) is divided by (-2)/(-7) + 150/14?
8
Suppose -2*m - 4*d + 28 = 0, -m - 3*m = 2*d - 32. Let y(u) = -u**3 + 6*u**2 + 5*u + 3. What is the remainder when y(m) is divided by (-4 - (-110)/25)/(2/35)?
5
Suppose 305 = b + 2*o, -4*b - 3*o + 1560 = b. Calculate the remainder when b is divided by 81.
72
Suppose -5*v + 2*h - 3 + 11 = 0, -8 = 2*h. Suppose -3*g + g + 6 = v. Let q = g - -3. Calculate the remainder when 9 is divided by q.
3
Let n(g) = g**3 - g**2 - g. Let r be n(3). What is the remainder when 28 - -5*(3 + (-36)/r) is divided by 17?
14
Suppose -44*s + 51*s = 854. What is the remainder when s is divided by 70?
52
Let t(l) = -l**3 + 9*l**2 - l + 6. Suppose 0 = -12*z + 7*z + 45. Let c be t(z). Calculate the remainder when c/(-6) - (-1458)/12 is divided by 31.
29
Suppose -6*d + 5*i + 75 = -2*d, -4*i - 87 = -5*d. Suppose 0 = -16*o + 12 + 116. Calculate the remainder when d is divided by o.
7
Let j = 89 - 65. Let d(s) = 14*s**2 + 2*s - 3. What is the remainder when d(-3) is divided by j?
21
Let q(d) = 2 + d**2 - 15*d + 10*d + 3*d**2 + 2. Calculate the remainder when q(3) is divided by 9.
7
Let a(l) = 5*l**2 - 6*l + 11. Let w(z) = -z**3 + 6*z**2 - 9*z + 7. Let n be w(4). What is the remainder when a(n) is divided by 10?
8
Suppose 0 = o - 4 + 32. Let m = o + 30. Suppose -m*g - 11 = -51. Calculate the remainder when 36 is divided by g.
16
Let f be (-1 + -2)*(-8 + (-708)/9). Suppose 4*y - y - f = -5*c, 4*y - 3*c = 337. What is the remainder when y is divided by 43?
42
Let i = 11 - -17. Suppose u - 46 = 9. Calculate the remainder when u is divided by i.
27
Suppose 2*h = 2*k - 64, -5*h + 36 = 2*k - 0*h. Calculate the remainder when 76 is divided by k.
20
Let o be 1*2*15/6. Suppose 3*m - 3 + 0 = 3*d, 0 = m + o*d - 19. Let a(r) = r + 9. What is the remainder when a(-4) is divided by m?
1
Suppose 9*a - 1471 = 320. What is the remainder when a is divided by 40?
39
Suppose -2*u = -3*b + 37, -2*b = u + 4*u + 45. Let w be ((-5)/3)/(u/99). Suppose 2*s - 5 = -d + w, 89 = 4*d - s. What is the remainder when d is divided by 6?
4
Let b be 3*15*(-4)/18. What is the remainder when 20 is divided by 0 - b - (-1 + -1)?
8
Let z(i) = 3*i**2 - 3*i + 26. Calculate the remainder when z(-5) is divided by 30.
26
Let g(i) = 59 - 32 + 0*i + 3*i. What is the remainder when 53 is divided by g(-7)?
5
Calculate the remainder when 89 is divided by (-62)/(-1*((-18)/(-2) - 7)).
27
Suppose 30*y + 2*y - 576 = 0. Calculate the remainder when 69 is divided by y.
15
Suppose -774 = -1283*d + 1274*d. What is the remainder when 425 is divided by d?
81
What is the remainder when 489 is divided by (135/10 + -5)*(0 + 2)?
13
Suppose 3*l - 3 = -w + 8, 4*w + 4*l - 28 = 0. Let m(r) = r**2 - 6*r + 14. What is the remainder when 42 is divided by m(w)?
6
Let m(g) be the third derivative of -g**5/60 + g**4/4 - g**3/3 - 3*g**2. Let h be m(6). Calculate the remainder when 42 is divided by h/4 - 31/(-2).
12
Let u(o) be the first derivative of 7*o**4/4 - o**3/3 + o - 31. Calculate the remainder when 32 is divided by u(1).
4
Suppose 0 = -j, 5*p + 4*j - 67 - 133 = 0. Calculate the remainder when 16 is divided by 18/10*p/12.
4
Suppose 10*n = 6*n - 4*r + 196, -2*r + 52 = n. Calculate the remainder when 141 is divided by n.
3
Let r(a) = -a**2 - 11*a + 27. Let w be r(-13). Suppose -k - w = -q, 0 = -4*k - k + q + 3. Let u = -4 + 7. What is the remainder when u is divided by k?
0
Suppose c = 3 - 2. Let l = -629 - -635. What is the remainder when l is divided by c?
0
Suppose 3*v + 2*x = 12, -x = 5*v - 0*x - 13. Suppose 41 = 5*b - 4*q, 3 - v = q. Let h = b + 23. Calculate the remainder when h is divided by 12.
8
Suppose 109 = 4*d - 5*n - 0*n, 2*d + n = 51. Suppose -4*p = -4*r - 180, 2*p + r - d - 55 = 0. Calculate the remainder when 124 is divided by p.
40
Suppose -3*d + 21 = 5*h, 0*d - h = 3*d - 33. Calculate the remainder when 35 is divided by d.
11
Let d be (1*2)/(5 - (-1336)/(-264)). Calculate the remainder when 46 is divided by ((-72)/d - 2) + (-1032)/(-132).
6
Let p be ((-4)/(-10))/(2/10). Suppose -z = 