 8*r = -4*t + 7*r + 24. Suppose -s + y = t*s. Calculate the remainder when 4 is divided by s.
1
Suppose -4*u + 2*i + 403 = 3*i, 0 = 2*u + 4*i - 184. Suppose -2*c - 3*q + u = -8*q, -4 = -q. What is the remainder when c is divided by 16?
13
Suppose -3*v = 3*f - 309, -2*v - 204 = -2*f - 6*v. Calculate the remainder when f is divided by 40.
24
Suppose -414 = -2*m - k, 3*m - 16*k = -21*k + 635. Calculate the remainder when m is divided by 70.
65
Let m(g) = g**2 - 13*g + 96. What is the remainder when m(-14) is divided by 68?
66
Let z(r) = -r**3 - 13*r**2 - 10*r + 23. Let u be z(-12). What is the remainder when -1 + (3 - (2 + u)) - -22 is divided by 15?
8
Let k = -380 - -749. What is the remainder when k is divided by 7?
5
Let c(i) = 9*i - 164. What is the remainder when c(33) is divided by 17?
14
Let h = -15 - 57. What is the remainder when (-3)/4*h/27 is divided by 2?
0
Let j = -10 + 73. Let t = -4 + 11. Calculate the remainder when 33 is divided by (1/1)/(t/j).
6
Calculate the remainder when 62 is divided by (-20)/(-45) + (-366)/(-27).
6
Let d(x) = -x - 2. Suppose 9 = 3*f - 6. Let b be d(f). Calculate the remainder when (b + 15)/(4/18) is divided by 10.
6
Suppose 0 = 4*n - 6 - 6. Let u be (1 - n)*26/4. Let t = 32 - u. What is the remainder when t is divided by 12?
9
Let h(c) be the second derivative of -c**3/3 + 13*c**2/2 - 8*c. Let g be h(6). What is the remainder when ((-4)/(-12))/(g/255) is divided by 29?
27
Suppose 5*q + 2*y - 92 = 0, -2*q - y + 16 = -q. Suppose 415*v = 405*v + 340. What is the remainder when v is divided by q?
14
Suppose -3*n + 4*s = -5, -5*n + 4*n = -3*s + 5. Suppose n*b = 55 + 36. Calculate the remainder when 20 is divided by b.
7
Let d = -22 + 19. Let v(f) = -f**3 - 3*f**2 - 2*f - 1. Calculate the remainder when 20 is divided by v(d).
0
Suppose 140*s - 440 = 52*s. What is the remainder when 62 is divided by s?
2
Let l = 12 + -4. What is the remainder when 66 is divided by l?
2
Suppose 3*z = 34 + 41. Calculate the remainder when z is divided by (99/15 + -3)*(-45)/(-18).
7
Let m = -675 + 1044. Calculate the remainder when m is divided by 37.
36
Let c = 423 + -291. What is the remainder when c is divided by 27?
24
Let w(c) = -3*c - 11 + 23 + c. What is the remainder when w(-3) is divided by 16?
2
Suppose 5*o - j - 47 = 0, 20 = 3*o - 5*j + 5. Calculate the remainder when 105 is divided by o.
5
Let u(x) = -7*x**2 + 56*x + 14. Calculate the remainder when 222 is divided by u(8).
12
Let u(a) = 2*a**2 + 88*a - 1000. Let c(p) = 2*p**3 - 4*p**2 + 4*p - 3. Calculate the remainder when u(10) is divided by c(3).
26
Suppose x + a + 5 = -a, -4*x + 13 = -3*a. Suppose 5*y = 59 + x. What is the remainder when y is divided by 3?
0
Suppose -5*h = 2*a - 66, -3*h + 3*a + 49 = 1. Suppose 3*m + k = 4*k + 204, -2*m + 141 = -3*k. Let c = m + -37. What is the remainder when c is divided by h?
12
Suppose -80 = -15*n + 340. Calculate the remainder when 698 is divided by n.
26
Suppose o - 9 = 3*x, 4*o + 3*x + 18 = 8*o. Suppose p + 5 = u - 2*p, 5*p = -o*u + 57. Calculate the remainder when 23 is divided by u.
9
Suppose 34 - 46 = -3*i. Suppose 0 = i*p + 4, 0 = d + 3*d - 4*p - 72. Calculate the remainder when 66 is divided by d.
15
Let j = 521 - 383. Calculate the remainder when j is divided by 10.
8
Let c = 2 - 1. Let h(a) = 7*a**3 - a**2 + a. Let q be h(c). Suppose -4*b + 2*f + 90 = 0, -q = f - 2. What is the remainder when 56 is divided by b?
16
Suppose 95 = 4*w - s, -3*w = -3*s - 20 - 58. Suppose 4*x = 0, 3*f + 5*x = x + 36. Calculate the remainder when w is divided by f.
11
Suppose 4*s - 10*s = -900. Let i = 81 + -43. Calculate the remainder when s is divided by i.
36
Suppose 0 = w - 0*w. Let q(t) = t - 8. Let m be q(w). Let u(x) = -x**2 - 10*x + 3. What is the remainder when 36 is divided by u(m)?
17
What is the remainder when 1317 is divided by ((-1424)/18)/(-4) - 6/(-27)?
17
Let r(b) = 56*b + 1. Let l be r(-1). Let o = l - -85. What is the remainder when o is divided by 8?
6
Let o = 1 - -11. What is the remainder when 44 is divided by o?
8
Let w(l) = -8*l**3 - 35*l**2 - l + 6. Calculate the remainder when w(-5) is divided by 12.
4
Suppose -3*v = -2*m - 160, 148 = 3*v - m - 4*m. Suppose -3*s - 44 = -4*f + v, 25 = f + 3*s. What is the remainder when f is divided by 16?
9
Suppose -2*i = -i - 21. Suppose -73 = -d - i. Let f = -37 - -64. What is the remainder when d is divided by f?
25
Suppose 9*p - 6 = 7*p, -4*i + p + 105 = 0. Calculate the remainder when 284 is divided by i.
14
What is the remainder when 131 is divided by 130/2 + (11 - 8)/3?
65
Suppose 0 = -i - 2*h + 97, 5*i - 3*h - 492 = -6*h. Calculate the remainder when 393 is divided by i.
96
Suppose 0 = -4*i - 0*f - f + 1853, 0 = 5*i - f - 2323. What is the remainder when i is divided by 117?
113
Let q(y) = -6*y**2 - 3*y - 13. Let a(c) = 12*c**2 + 6*c + 25. Let o(f) = 4*a(f) + 7*q(f). What is the remainder when o(-3) is divided by 19?
16
Calculate the remainder when 9/(-6) - 2743/(-26) is divided by 24.
8
Suppose -9*t + 4*t = -15. Suppose n = -2*n + 30. Suppose 2*s = 4*i - 4, -5*s - 4*i - n = -70. Calculate the remainder when s is divided by t.
2
What is the remainder when 179 is divided by -2 + (3 - -2) + 9?
11
Let m = 225 + -187. What is the remainder when m is divided by 15?
8
Let g(z) = z**3 - z**2 + 3*z - 10. Calculate the remainder when 144 is divided by g(4).
44
Let u = -796 - -853. What is the remainder when 206 is divided by u?
35
Let o(i) = 2*i + 7. Let b = -23 - -27. Calculate the remainder when b is divided by o(-3).
0
Let k(c) be the third derivative of -c**6/120 - 19*c**5/60 - c**4/12 + 5*c**3/3 - 3*c**2. Calculate the remainder when k(-19) is divided by 18.
12
Let o(k) = 15*k**3 + k**2 - 3*k + 3. Let b be o(2). Let r = b - 9. What is the remainder when r is divided by 23?
20
Let w be 1/3 - 682/(-6). Suppose 3*y - 360 = -w. Suppose -y = c - 3*c + 3*u, 2*u = 3*c - 128. What is the remainder when c is divided by 23?
21
Let k(l) = l**3 + 6*l**2 - 2*l + 38. What is the remainder when k(0) is divided by (-2)/(48/(-21) - -2)?
3
Let n(w) be the third derivative of 0*w + 5/6*w**3 - w**2 + 0 + 5/24*w**4 + 2/15*w**5 + 1/120*w**6. Calculate the remainder when 54 is divided by n(-7).
16
Let a(i) = -i**3 + 24*i**2 + 22*i + 42. Let v be a(25). Suppose 5*o - 132 - 153 = 0. Let u = v + o. What is the remainder when 69 is divided by u?
21
Let b be ((-72)/(-2))/(4/6). Suppose -39*s + 12 = -37*s. Suppose -p + s = 3*g - b, -4*g = -2*p - 70. What is the remainder when 94 is divided by g?
18
Let t(u) = -u**3 + 9*u**2 - 7*u - 4. Let n be t(6). Suppose -4*c + 2*c + n = 0. What is the remainder when 153 is divided by c?
29
Let t = -739 - -838. Suppose -2*k = -k - 25. What is the remainder when t is divided by k?
24
Let t(m) = 6*m + 5. Suppose 2*k - 4*x = 152, -273 = 44*k - 47*k - 3*x. What is the remainder when k is divided by t(4)?
28
Let d(m) = -m**2 + 14*m + 22. Let o(r) = r**2 + r + 1. Let q(f) = -d(f) - 2*o(f). Calculate the remainder when q(-9) is divided by 6.
3
Let j be (-3 - -8)*(-6)/2. Let w = 28 + j. Calculate the remainder when 21 is divided by w.
8
Suppose 3*k + 2*z - 58 - 36 = 0, -5*z = -5*k + 190. Suppose -y + 8 + k = 0. Calculate the remainder when y is divided by 11.
9
Let h be 6286/34 - (-16)/136. Suppose -65*z = -60*z - h. What is the remainder when 71 is divided by z?
34
Let t(w) = w**3 + 5*w**2 + 2*w + 1. Let i = 0 - 4. What is the remainder when 15 is divided by t(i)?
6
Suppose 3*l = -3*p + 12, l - 4 = -2*p - 3*p. Let y(h) = -22*h + 16. Let m be y(7). Calculate the remainder when ((-4)/6)/(l/m) is divided by 13.
10
Suppose 3*m - 75 = 246. Suppose 0 = -a - a + 3*b + m, 3*b = -3*a + 153. Suppose 5*i = 3*i + a. What is the remainder when i is divided by 7?
5
Suppose 707 = 3*w + 647. Calculate the remainder when 1237 is divided by w.
17
Suppose 8*a + 484 - 3428 = 0. Calculate the remainder when a is divided by 37.
35
Suppose -21*m + 8*m = -78. What is the remainder when 17 is divided by m?
5
Let s(k) = -6*k**2 - 14*k**3 + 2 - k + 13*k**3 - 3. Let j(v) = -v**3 - v + 4. Let r be j(2). Calculate the remainder when s(r) is divided by 4.
1
Let l = -29 - -33. Suppose l*g + k = 2*g + 94, 3*g - 3*k - 150 = 0. Calculate the remainder when g is divided by 10.
8
What is the remainder when 16 i