ppose -p*g = -15*g - 65. What is the remainder when 75 is divided by g?
10
Let h = 108 + -55. Suppose 12*y = -6*y + 144. What is the remainder when h is divided by y?
5
Let u(m) = -m**3 - 3*m**2 + 5*m + 4. Let k = -30 - -25. Calculate the remainder when u(k) is divided by 16.
13
Let q be 1*(-48)/5*20/(-6). Suppose 5*o + 3*o = q. Suppose l - 2*l - 1 = -v, -5*v - 4*l + 14 = 0. Calculate the remainder when o is divided by v.
0
Suppose -5*y = -9*y - 84. Let p(c) = c**2 + 18*c - 53. Calculate the remainder when 58 is divided by p(y).
8
Let z(p) = -8*p - 59. Calculate the remainder when z(-12) is divided by 12.
1
Let d(o) = 7*o**2 + 14*o + 4. Calculate the remainder when 457 is divided by d(-2).
1
Let u(r) = -3*r + 23. Let k be u(6). Suppose -v - 280 = -k*v. What is the remainder when v is divided by 18?
16
Suppose -2*n - 2*m = -13 - 11, 76 = 3*n - 5*m. Suppose 13 = -n*g + 18*g. Let y = 75 - 39. What is the remainder when y is divided by g?
10
Let v(c) = 83*c + 1. Let i be v(1). Suppose 27 = -3*w + i. Let s(r) = r**3 - 19*r**2 + 19. Calculate the remainder when s(w) is divided by 7.
5
Let q(p) = -p**2 - 22*p + 46. What is the remainder when q(-19) is divided by 54?
49
Suppose 4*q + 17*b - 44 = 21*b, -5*b = 5*q - 65. Calculate the remainder when 237 is divided by q.
9
Let n = 76 - -18. Let h(x) = x**3 - 4*x**2 + 3*x + 2. Let t be h(4). Let d = 10 + t. What is the remainder when n is divided by d?
22
Let i be 2/((-8)/4) - -65. Let b = 10 - 4. What is the remainder when 4/10*(i + -9) is divided by b?
4
Suppose -11*h + 56 = -175. Let i(o) = o**2 + 2*o + 4. Calculate the remainder when h is divided by i(-4).
9
Suppose 11*q - 140 = 322. What is the remainder when 292 is divided by q?
40
Let v(t) be the third derivative of -t**4/8 + 11*t**3/6 - 15*t**2. Calculate the remainder when v(-17) is divided by 17.
11
Let w = 568 - 511. What is the remainder when 398 is divided by w?
56
Suppose 169 - 69 = -5*v - 5*f, -3*f - 44 = 2*v. Calculate the remainder when (-78)/(-4)*v/24*-2 is divided by -20*((-7)/4 - -1).
11
Suppose -l - 119 = -115. What is the remainder when (l/60)/((-2)/12)*205 is divided by 22?
16
Suppose 2*m = 3*a + 485, -2*a = 5*m + a - 1160. Calculate the remainder when m is divided by 61.
52
Suppose 2*s - 4*o + 543 = 7*s, 3 = -o. Suppose -513 = 1070*t - 1097*t. What is the remainder when s is divided by t?
16
Let u(d) = -d**3 + 23*d**2 + 67*d - 4. Calculate the remainder when 229 is divided by u(-3).
26
Suppose -2*l = 8*k - 9*k + 34, 136 = 4*k + l. What is the remainder when 62 is divided by k?
28
Suppose 8*k - 44 = 4*k. Suppose -4*l + 56 = -2*u + 208, 0 = -u - 2*l + 76. Calculate the remainder when u is divided by k.
10
Let t = 26 - 0. Let w(r) = -53*r + 863. What is the remainder when t is divided by w(16)?
11
Let c = -352 + 383. What is the remainder when 184 is divided by c?
29
Let u = 11 - -26. Suppose 0*h - h + 65 = q, 4*q + 230 = 3*h. What is the remainder when h is divided by u?
33
Calculate the remainder when 543 is divided by (39*2)/(15 + -14).
75
Let g(w) = -w**2 - 21*w + 14. Let n be g(-22). Let z = 15 - -2. Let l = n + z. What is the remainder when 24 is divided by l?
6
What is the remainder when 2 is divided by 5/(-5)*-1 - -1?
0
Let c(z) = -z**3 - 5*z**2 - 3*z - 3. Suppose 86*k + 900 = 106*k. Calculate the remainder when k is divided by c(-5).
9
Suppose -2*i + 55 = 2*i - 3*g, -2*i = -5*g - 45. Suppose 0 = x + 4*y - 34, 3*y + 20 = 14*x - 13*x. What is the remainder when x is divided by i?
6
Suppose -2*d - 4*l = 12, -d + 4*d + 4*l + 8 = 0. Suppose d*z + 13 = 425. Calculate the remainder when z is divided by 15.
13
Let k(n) = -25 - 18*n - 1 - n**2 + 2*n - 1. What is the remainder when 3 is divided by k(-14)?
0
Let g(x) = -2*x**3 - 5*x**2 + 57*x - 9. Let u = 64 + 1. What is the remainder when u is divided by g(-7)?
32
Suppose -18*c + 35*c - 272 = 0. Suppose -o = -2*o + c. What is the remainder when 4/(-6) - (-346)/6 is divided by o?
9
Suppose -2*h + 9 = -2*r + 77, -220 = -5*r - 5*h. Suppose r = 3*b - 39. What is the remainder when b is divided by (-140)/(-12) + -2 - 6/9?
8
Suppose 782*i - 774*i = 688. Calculate the remainder when 338 is divided by i.
80
Let s(y) = -y**2 - 9*y + 12. Let h be s(-10). Suppose h*b + 2*b = 52. Calculate the remainder when (-225)/(-5) - (-8)/2 is divided by b.
10
Suppose 2*t + 0*t = -5*p + 113, 4*t - 58 = -2*p. Let h = 5441 + -5255. What is the remainder when h is divided by p?
18
What is the remainder when ((-1)/(-2))/(17/1598) is divided by 10?
7
Let k be ((-420)/36)/(1*(-2)/6). Suppose m = k - 14. Calculate the remainder when 83 is divided by m.
20
Suppose 0 = u - 2*u + 22. What is the remainder when u is divided by (-60)/(-9)*(-24)/(-20)?
6
What is the remainder when ((-225)/(-35))/(-15)*-49 is divided by 14?
7
Suppose 16*p - 3776 = -16*p. What is the remainder when p is divided by 15?
13
Let x(z) = -z**3 + 14*z**2 + 4*z - 17. Let n(k) = -k**3 + 13*k**2 + 5*k - 16. Let q(w) = 7*n(w) - 6*x(w). What is the remainder when q(8) is divided by 5?
4
Suppose -k + 28 = o, -1428*k + o = -1426*k - 50. Let c = 2 + 8. Calculate the remainder when k is divided by c.
6
What is the remainder when 422 is divided by ((-26)/(-39))/((-4)/(-162)) + -2?
22
Calculate the remainder when 12/(-28) + 234/7 is divided by 20.
13
Let y(i) = i - 5. Let t be y(5). Suppose t = -2*h + 19 + 21. What is the remainder when h is divided by 8?
4
Let g(r) = 4*r**2 + 1. What is the remainder when -1 + 17 + (2/2 - 4) is divided by g(-1)?
3
Let m be 2/(-7)*17/(34/(-28)). Suppose -72 - 36 = -m*j. What is the remainder when j is divided by (2/(-6))/((-1)/21)?
6
Let l(j) = 4*j**2 - 2*j - 4. Suppose 3*n - 6 = -0. What is the remainder when -2 + (1 - (-156)/n) is divided by l(3)?
25
Let f = 40 - 40. Suppose -m - 3*w - 2 = f, -5 - 3 = 4*w. Calculate the remainder when 10 is divided by m.
2
Let r = -3563 + 3576. Let u be (-4)/6*7*27. Let f = -89 - u. Calculate the remainder when f is divided by r.
11
Let s(y) = y**2 - 3*y - 10. Let f be s(8). What is the remainder when 36 is divided by (43 - f)*((1 - 1) + 1)?
10
Let k(a) = -21*a**3 + a**2 + 5*a + 4. What is the remainder when k(-2) is divided by 90?
76
Let f(x) = x**3 + 4*x**2 - 15*x - 8. What is the remainder when (-3)/(-15) - 344/(-5) is divided by f(-6)?
9
Let f(q) = 9*q**2 - 9*q - 9. Let c(t) = -1 - 4*t**2 - 13*t + 3 + 18*t + 3. Let g(n) = -7*c(n) - 3*f(n). What is the remainder when g(10) is divided by 7?
5
Let n(s) = s**3 - 10*s**2 - 25*s + 14. Let c be n(12). Suppose -t + 11 = b, 2 = -c*t + 4*b - 0. Calculate the remainder when 82 is divided by t.
5
Suppose -4*w + 12 = -4*r, 5*r + 0*r + 5*w - 15 = 0. Let x = -59 - -82. What is the remainder when (r - 2)/(-2)*44 is divided by x?
21
Calculate the remainder when 111 is divided by 29 - (-3)/6*-2*1.
27
Suppose -295 = -40*g + 185. Calculate the remainder when 81 is divided by g.
9
Suppose -7*j + 2*j = 20. Let f be -66*(-1 + j/(-8)). Suppose -4*d = -d - f. Calculate the remainder when 43 is divided by d.
10
Suppose -3*b - b = 64. Let u(a) = -a**3 - 17*a**2 - 23*a - 8. What is the remainder when u(b) is divided by 27?
23
Let h(k) = -10*k + 1. Let x be h(1). Let t = 44 + x. Suppose -16*w = 64*w - 1482 + 42. Calculate the remainder when t is divided by w.
17
Let v(z) = -3*z**3 + 13*z**2 + 28*z + 4. Calculate the remainder when (-1088)/(-14) + (-4)/(-14) is divided by v(-2).
6
What is the remainder when 606 is divided by ((-1292)/(-306))/(3/54)?
74
Suppose -12*h + 6*h + 204 = 0. Let d = 53 - -79. What is the remainder when d is divided by h?
30
Suppose -2*p = -s + 7 - 70, -5*p + 190 = 4*s. What is the remainder when p is divided by 28/6*(-5 - 477/(-63))?
10
Suppose -2*n - k + 9 = 0, 2*n = 6*n + 4*k - 16. Suppose 0*z + 44 = -11*z. Let f = n - z. What is the remainder when 26 is divided by f?
8
Suppose 5*n = 5*p + 8*n - 35, 3*n + 65 = 5*p. Calculate the remainder when 35 is divided by p.
5
What is the remainder when 82 is divided by (-4)/((-128)/1036) - (-9)/(-24)?
18
Suppose 312 = 2*m + 98. Suppose 8*z = -6*z - 31 + 283. Calculate the remainder when m is divided by z.
17
Suppose 4*i - 2*a - 93 = a, a + 108 = 5*i. Suppose 0 = -2*q + m - 1 + 49, -i = -q - m. What is the remainder when 91/2 + 1/(10/(-5)) is divided by q?
22
Suppose -2*p = 5*k + 21, 5*p + 3*k + 