Let a(y) = -37*y - 1. Let s(v) = -3*a(v) - 8*k(v). Let g = -105 - -110. Calculate the remainder when s(g) is divided by 27.
24
Let v be ((-6)/(-4))/((-6)/(-112)). Suppose 3*b - b = v. What is the remainder when -2*(3 + b/(-4)) is divided by 1?
0
Let j be 210/6*-2 + 1 + -3. Let z = -51 - j. What is the remainder when 30 is divided by z?
9
Suppose w + 2*w - 5*k = -26, -2*w = 4*k + 10. What is the remainder when (-199)/w - (-24)/(-56) is divided by 11?
6
Let o = -344 - -354. What is the remainder when o is divided by 5?
0
Suppose -3*z = 3*v - 54, -56*z = -59*z. What is the remainder when 588 is divided by v?
12
Suppose 1398*z - 1406*z = -65 - 47. Suppose 10 = -4*l + 30, 4*q + l = 13. Calculate the remainder when z is divided by q.
0
Suppose -37*f + 18 = -36*f. Calculate the remainder when 142 is divided by f.
16
Let k(c) = 2*c**2 + 0*c**2 - 1150*c**3 + 12 + 1149*c**3. What is the remainder when 21 is divided by k(3)?
0
Suppose 2*d - 2*p - 8 = 0, 3*p - 1 + 3 = -2*d. Calculate the remainder when -5 + 2/2 - (25 - 32) is divided by d.
1
Let p = -2390 + 2392. Suppose 24 = 4*b - 3*r, -5*b - 5*r = -0*r + 5. What is the remainder when b is divided by p?
1
Suppose -1 = 2*t - 19. Let w(a) = 2*a**2 - a - 10. Let h be w(t). Let l = h - 46. Calculate the remainder when l is divided by 25.
22
Let z = 23 + -12. Calculate the remainder when z is divided by 186/16 + -9 - (-1)/(16/6).
2
Suppose 2*m = -j - 5, -3*j = -3*m - 8 - 4. Suppose -7*p + 48 + j = 0. Calculate the remainder when 9 is divided by p.
2
Let s(c) be the second derivative of -4*c + 0 + 0*c**3 + 0*c**4 - 1/2*c**2 - 1/10*c**5. What is the remainder when 43 is divided by s(-2)?
13
Suppose 0 = 4*s - k - 51, 2*s - 2*k - 40 = -10. Let q(z) = -132*z. Let m be q(-1). Calculate the remainder when s is divided by 10/35 + m/28.
2
Suppose 2*k = 4*g - 423 + 513, -4*k + 2*g + 144 = 0. Suppose 0*z = 2*z - 36. What is the remainder when k is divided by z?
15
Let a = -10 + 29. Let u = a - 15. Suppose u*f + 4*i = 5*i + 65, 5*i = f - 21. What is the remainder when 29 is divided by f?
13
Let x be (-3)/(-6) + 370/(-4). Let m(g) = -23*g - 2. Let r be m(1). What is the remainder when 53 is divided by 10/r + x/(-5)?
17
What is the remainder when (-334)/(-10) + (-51)/(-85) is divided by (-3)/(-18) - 318/(-36)?
7
Suppose 373*s + 8990 = 404*s. Calculate the remainder when s is divided by 88.
26
Suppose -2*j + 3*a = -j - 14, a + 2 = 0. Let i = j + -7. What is the remainder when 4 is divided by i?
0
Suppose -5*o - l + 4*l = -84, -4*o + 76 = 2*l. Calculate the remainder when 89 is divided by o.
17
Let w = 94 + -15. Suppose -2*z + 33 = -w. Let g(m) = 3*m**2 - 4*m - 3. What is the remainder when z is divided by g(4)?
27
Calculate the remainder when 4/(-8)*-14*27 is divided by 66.
57
Let q be ((-24)/(-28))/(4/14). Suppose q*u = -5*z + 141, 0 = z + z + 6. Calculate the remainder when u is divided by 27.
25
Suppose 2*s - 4*s = -3*k + 26, 34 = 4*k - 3*s. Suppose 0 = -k*z + 259 + 21. What is the remainder when z is divided by 15?
13
Let r be ((-4)/6)/(1/3). Suppose -5*k + 2 = -13. What is the remainder when 27 is divided by 9 + 0 + k + r?
7
Let i(y) = y**3 - 4*y**2 - 6*y + 8. Let f be i(5). Calculate the remainder when 65 is divided by 31 + 2 + (f - 3).
32
Suppose -3*m + 10 = -2*c + 49, m + 1 = 0. Let n = 9 - 6. Suppose -5*f - 3*w - w + 354 = 0, n*f - 212 = -2*w. What is the remainder when f is divided by c?
16
Let k(d) = 7*d**2. Calculate the remainder when -13 - -9 - (4 + -1)*-10 is divided by k(1).
5
Let x = 41 + -28. Suppose -5*k + 82 + x = 0. Calculate the remainder when k is divided by 9.
1
Suppose -34*a = -39*a + 5. Calculate the remainder when 1 is divided by a.
0
Let r(n) be the second derivative of -5*n**3/3 - n**2 + n. Suppose -28*u - 1085 = -4165. Calculate the remainder when u is divided by r(-3).
26
Suppose -5*k + 1560 = 5*p - 350, -2*k - 752 = -2*p. Calculate the remainder when p is divided by 47.
3
Suppose 2 = -2*h + 14. Let o(w) = -4*w - 1. Let t be o(-1). Suppose -t*r = 2*r - 15. What is the remainder when h is divided by r?
0
Suppose g - 2 = 3*c + 5*g, -5*c + 2*g + 14 = 0. Suppose -c*u = 3*k - 119, -u = 4*k - 4*u - 153. What is the remainder when k is divided by 14?
11
Suppose 7*m = 132 - 6. Let i = 21 - m. Calculate the remainder when 10 is divided by i.
1
Suppose 72*m - 84 = -2*o + 76*m, 0 = -5*m - 25. Suppose 2*q - 2 = -6. What is the remainder when o is divided by 13 - (1*q - -4)?
10
Let k(x) = -x**2 - 24*x + 691. Calculate the remainder when 813 is divided by k(-40).
48
Let d(b) = 138*b**2 + 2*b + 3. What is the remainder when d(1) is divided by 48?
47
Let j = -91 - -94. Suppose j*d + 13 = -2*f - 3*f, -5*d = -f - 25. Calculate the remainder when (7/3)/(3/9) is divided by d.
3
Suppose 0 = 3*p + 264 - 282. Calculate the remainder when 100 is divided by p.
4
Let v = -1342 - -1712. Calculate the remainder when v is divided by 17.
13
Suppose -4*v = -v + 4*i - 116, -5*v + i = -155. Suppose -4*l = 0, -2*n - 5*l - v = -4*n. Calculate the remainder when n is divided by 6.
4
Suppose -3*s = 5*h - 175, h = 5*s - 0*h - 301. What is the remainder when 144 is divided by s?
24
Suppose -65*i = -72*i + 287. What is the remainder when 570 is divided by i?
37
Suppose 0 = -2*r + 4*o - 10, 3*o - 36 = 4*r - o. Let a = 26 + r. Calculate the remainder when 51 is divided by a.
12
Suppose 7*u + 10 = 2*u - 2*w, -w = -5*u - 10. Let y = u - -8. What is the remainder when 113 is divided by y/(-15) - (-294)/10?
26
Calculate the remainder when 64 is divided by (140/50)/((-6)/(-45)).
1
Suppose 0 = -d - 2*d. Suppose 3*k + 34 + 71 = d. What is the remainder when (-1407)/k - (-2)/(-10) is divided by 14?
12
Let j = 79 - 75. Suppose 5*q + j*r = -15, -q + 6 = -r - 0*r. Calculate the remainder when 5 is divided by q.
0
Let a(m) = -m**2 + 18*m - 22. Let s = 45 + 0. Suppose 0*z = 3*z - s. Calculate the remainder when a(z) is divided by 8.
7
Suppose -4*y = -2*y + 8. Calculate the remainder when 115 is divided by y/(-24) + (-332)/(-24) + -1.
11
What is the remainder when 72 is divided by 166/6 + 2 - 33/(-99)?
12
Let l be -2 - -4 - -8*(0 - -9). Suppose -5*m - 20 = 0, 2*m + 3*m + l = 3*q. Calculate the remainder when 67 is divided by q.
13
Suppose 9*u - 8*u = -121. Let b = -56 - u. Calculate the remainder when b is divided by 17.
14
Suppose 2*a - 18 = -20. Calculate the remainder when 33 is divided by (-1 - (-2 + a)) + 1 + 6.
6
Let c = 102 + -88. Calculate the remainder when 81 is divided by c.
11
Suppose -19*n + 224 = -23. Calculate the remainder when 218 is divided by n.
10
Let z = -72 - -27. Let p = z - -59. What is the remainder when 26 is divided by p?
12
Suppose -3*c + 1 - 10 = 0. Let a = -8 + c. What is the remainder when -2 + (-1 - a) + -3 is divided by 3?
2
Calculate the remainder when 157 is divided by (-2)/((-2)/2*(-11)/(-451)).
75
Let v = 560 - 538. Let r(a) = 3*a**2 + 9*a + 8. What is the remainder when r(-6) is divided by v?
18
Let g be (-1 - (-6 - -2)) + 6. Let a be g + -4 + -1 + 84. Let s = a + -61. What is the remainder when s is divided by 14?
13
Let i(x) = 4*x + 22. Calculate the remainder when 132 is divided by i(3).
30
Suppose -4*f + 2 = -2*q, 3*f - 13 = -3*q + f. Suppose -4*s = -q*s - 6. Let h(l) = -l**3 + 5*l**2 + 6*l + 9. Calculate the remainder when 17 is divided by h(s).
8
Suppose 24*o = 32*o - 32. What is the remainder when 7 is divided by o?
3
Suppose p = x + 49, 0*p + 5*p - 4*x - 240 = 0. Suppose -v - 3*o = -3*v + 43, -v - 3*o + p = 0. What is the remainder when v is divided by 15?
14
Let l = -30 + 34. What is the remainder when -34*-3*l/12 is divided by 9?
7
Suppose -881*m - 126 = -884*m. What is the remainder when 166 is divided by m?
40
Let o = 11 - -2. Let m = 41 - o. Calculate the remainder when 53 is divided by m.
25
Let s(k) = -2*k**3 + 14*k**2 - 7*k - 15. What is the remainder when 89 is divided by s(6)?
14
What is the remainder when 32/(-4)*4/((-64)/692) is divided by 39?
34
Suppose z = 2*z - 41. Let f(r) = -r**2 + 21*r - 97. What is the remainder when z is divided by f(12)?
8
Suppose -4 = -s, -u - 2*s - 22 = -3*u. Suppose 5*c + 52 = 3*w, -2*w = -5*w + 2*c + 37. What is the remainder when u is divided by w?
6
Suppose 10 = x - 33. Let y = -506 - -631. Calculate the remainder when y is divided by x.
39
Let w(q) = -q*