x = 50 + d. Calculate the remainder when (-2 + x)/(16/24) is divided by 5.
4
Suppose 0 = 5*b + 22*d - 27*d - 15, 2*d = 10. Calculate the remainder when 125 is divided by b.
5
Let f = 6729 - 5770. What is the remainder when f is divided by 46?
39
Suppose -25 = -7*n + 80. Let u(x) = -x**3 + x**3 - 8 + 2*x + x**3 - 8*x**2. What is the remainder when n is divided by u(8)?
7
Let j = 1354 + -1172. Calculate the remainder when j is divided by 154.
28
What is the remainder when 199 is divided by ((-50)/(-8))/(880/4224)?
19
Let m(u) = 125*u - 1098. Calculate the remainder when 1832 is divided by m(9).
23
Let y(m) = 0 - 3 - m + m**2 - 1. Let g = 15765 - 15756. Calculate the remainder when y(5) is divided by g.
7
Let a = 29 + 2. Suppose -5*s - 1 = -a. Suppose -s*r - 56 = -4*v - 2*r, v - 4*r - 17 = 0. Calculate the remainder when 180 is divided by v.
11
Let i = 1794 + -1741. Calculate the remainder when 365 is divided by i.
47
Suppose 0*x = 5*g + 3*x - 514, 4*x = 2*g - 190. Suppose 139*i - 223*i = -2940. What is the remainder when g is divided by i?
31
Let q(w) = -82*w + 472. Let h be q(6). Calculate the remainder when 87 is divided by ((-72)/(-30))/((-1)/h).
39
Suppose -2*v + 154 = 60. Let r(u) = -3*u**3 + 119*u**2 + 160*u + 171. What is the remainder when v is divided by r(41)?
5
Let d(f) = -f + 5. Let y be d(0). Suppose -5*k - 9 - 11 = 0, -4*a = -y*k - 200. Calculate the remainder when 172 is divided by a.
37
Let a(v) = -v**3 - 9*v**2 - 9*v - 5. Let h be a(-8). Suppose -93 = -h*p + 4*m - 34, -3*p + 45 = 3*m. Calculate the remainder when p is divided by 6.
5
Let o(f) = 2*f - 6. Let b be o(-29). Let z be (b/(-32))/(0 + (-1)/15). Let l = z + 52. What is the remainder when 86 is divided by l?
20
What is the remainder when 105 is divided by ((-20)/50)/((-5)/750)?
45
Calculate the remainder when 128 is divided by (-3 + 5 - -4) + (-1 - -5).
8
Calculate the remainder when (-11)/(((-6)/45)/((-20)/(-30))) is divided by 51 - (-10 + 23 + -10).
7
Let y = 1463 + -858. Suppose y = 15*h - 160. Calculate the remainder when 101 is divided by h.
50
Suppose 0 = j + 2*j - 6. Let k be 3/2 + 105/30. Suppose 0 = a - 5*q - 61, j*q - 55 = -a + k*q. What is the remainder when a is divided by 12?
10
Suppose 74*r - 5139 - 3519 = 0. Calculate the remainder when r is divided by 21.
12
Suppose 1 = 2*a - 5*n + 4, -3*n + 3 = -a. Calculate the remainder when 155 is divided by (-792)/(-20) - (-5)/(-50)*a.
38
Suppose -36*m + 148*m - 153776 = 0. Calculate the remainder when m is divided by 79.
30
Let u = 30 + -20. Suppose -2186 = 12*p - 50. Let h = -132 - p. Calculate the remainder when h is divided by u.
6
Suppose j - i - 71 = -2*j, -41 = -3*j - 5*i. Suppose -3*c + j = -8. Calculate the remainder when 78 is divided by c.
8
Suppose -2*r = 2*g + 26, 3*r + 2*r + 4*g + 69 = 0. Let c = r - 23. Calculate the remainder when ((-142)/8)/(165/c + 4) is divided by 24.
22
Suppose -o + 0 = 2, 2*o + 124 = 5*d. Let l = d + -19. Suppose -l*u = -65 + 10. Calculate the remainder when 40 is divided by u.
7
Let b be 1 + 7/(7/64). Let f = b + -54. Let w = 46 - 3. What is the remainder when w is divided by f?
10
Let u(v) = -4*v**2 - 35*v + 21. Let r(h) = -9*h**2 - 68*h + 44. Let s(g) = 3*r(g) - 7*u(g). What is the remainder when s(-47) is divided by 46?
37
Suppose 37*h + 2 = 38*h. Suppose -h*m + 9 = -27. What is the remainder when 35 is divided by m?
17
Suppose -4*k - 475 = -9*k. Suppose -k = 6*p + 49. Calculate the remainder when 163 is divided by (-966)/p - 6/(-8).
40
Let o = 17948 + -16009. What is the remainder when o is divided by 211?
40
Let q(s) = 3*s**3 + 71*s**2 - 34*s - 155. Calculate the remainder when 1685 is divided by q(-24).
70
Let x = 70 - 65. Suppose 5*k = x*t - 34 - 1, 5*t - 3*k = 31. Suppose -2*r = -3*j - 20, t*j + 16 = 5*r - 3*r. What is the remainder when r is divided by 9?
4
Suppose 32*u + 15 = -113. What is the remainder when 126 is divided by (6 + u)*-4 + 34?
22
Suppose -2*y - 2*a = -104, -a = 4*y - 4*a - 208. Let d(b) = -3*b**2 - 124*b - 66. Calculate the remainder when d(-39) is divided by y.
51
Let f(d) = 2*d**2 + 1. Let i be f(-3). Suppose 3*u = i + 29. Suppose -3*m - 9*m - 137 = -689. What is the remainder when m is divided by u?
14
Suppose 3*c - 318 = -3*g, -470 = -5*c + 5*g + 10. Let k = 901 + -851. What is the remainder when c is divided by k?
1
Let z be (-336)/6*25/(-20). Suppose 12*f - z + 46 = 0. Suppose s - 1 = -2*j + 16, -4*s + 33 = j. Calculate the remainder when s is divided by f.
1
Let j be (-39)/(-52) + 17/4. Let z = j + 2. Let o = 14 + -9. Calculate the remainder when z is divided by o.
2
Let c(i) = -4*i + 70. Let m be c(14). Suppose m*y - 4106 - 430 = 0. Calculate the remainder when y is divided by 13.
12
Let p = -27 + 34. Suppose p*m - 8*m + 47 = 0. Calculate the remainder when 187 is divided by m.
46
Suppose 0 = -8*g - 428 - 1460. Let v = g + 319. Let o(d) = d**3 - 6*d**2 + 3*d - 6. What is the remainder when v is divided by o(6)?
11
Let y(o) = -2*o**2 - 52*o - 242. What is the remainder when 3815 is divided by y(-19)?
23
Suppose 0 = 22*n - 26*n + 8. Suppose -2*y + 2 = -n*l, y = -24*l + 22*l + 4. Calculate the remainder when 114 is divided by y.
0
Let i(h) = 231*h + 6023. What is the remainder when 1801 is divided by i(-26)?
16
Let g be 5 - (-32)/6 - 2/(-3). Let f be (2 - g)/((-12)/16). Suppose 0 = f*s - 17 - 223. What is the remainder when 79 is divided by s?
19
Let k(r) = -5*r + 3. Let s be k(3). Let i(a) = 7*a + 3. Let j be i(0). Calculate the remainder when (s*(-12)/16)/(j/16) is divided by 7.
6
Let v = 3995 - -2486. What is the remainder when v is divided by 110?
101
Let w(y) = 2*y**2 + 31*y - 7. Let k be w(-16). Suppose -k*b = -6*b - 54. Calculate the remainder when 20 is divided by b.
2
Calculate the remainder when (-4)/(-16)*6*1112/6 is divided by 88.
14
Let i(p) = -50*p - 2. Suppose 2*j = 4*l + j - 45, -5*j - 45 = 0. What is the remainder when i(-2) is divided by l?
8
Suppose 4*c + 18 = -v, -c + 3 = 3*v + v. Suppose 0*k - f - 96 = -v*k, 2*f - 130 = -3*k. Calculate the remainder when 111 is divided by k.
19
Suppose -5*j = -9*n - 149, -85 = j - 4*j + n. Suppose 77 - 1 = 2*r. What is the remainder when r is divided by j?
10
Let r(d) be the first derivative of d**4/2 + 32*d**3/3 + 9*d**2 + 44*d + 59. What is the remainder when r(-15) is divided by 33?
26
Suppose 58*z = -16*z + 61*z + 41977. What is the remainder when z is divided by 38?
37
Suppose 4*v = 2*y - 194, 4*y - v = v + 406. Suppose 566 = -2*c + 4*f, 2*c - 4*f - 542 = 4*c. Let h = c + 290. Calculate the remainder when y is divided by h.
12
Let y(k) = -10*k - 35. Let m be y(-4). Suppose -109 = -3*a - l, m*l + 11 - 38 = -a. Calculate the remainder when 106 is divided by a.
32
Suppose 2*b - 278 = -3*h, -3*h = -b - 79 + 245. Calculate the remainder when b is divided by 24.
4
Let i be 2*(-707)/(-126) - 4/18. Suppose -44 + 132 = i*j. Let c = 34 - 19. What is the remainder when c is divided by j?
7
Let p = 247175 - 247155. Calculate the remainder when 834/(-4)*(-4)/3 is divided by p.
18
Suppose 0*g = -3*g + 9. Suppose g*z + 3*n - 4*n + 6 = 0, 4*z = 4*n - 16. Calculate the remainder when 8/36 + ((-682)/(-9) - z) is divided by 20.
17
Suppose -5*p + 4*p = -4*u + 519, -5*u + 4*p = -646. Let q be (2 - 2) + 3 + -4. Calculate the remainder when u is divided by (-19 + (3 - 6))/q.
20
Suppose 0 = -m + q + 20, 2*m + 24*q = 22*q + 72. What is the remainder when 825 is divided by m?
13
Suppose 0 = -9*b + 4*b - 150. Let q be (24/b)/(2/(-35)). Let v(m) = 2*m + 6. Calculate the remainder when v(q) is divided by 19.
15
Let u(m) = m**2 + 8*m - 27. Let b(s) = 6*s**2 - s. What is the remainder when u(-13) is divided by b(2)?
16
Let h(p) = 9*p**2 - 2*p + 27. Suppose 0 = -2*i - 5*g - 7, 5*g + 20 = 5. What is the remainder when h(i) is divided by 15?
13
What is the remainder when 1324/(((-12)/9)/(-1) - (-74)/111) is divided by 23?
18
Let p(h) = -35*h - 4. Let z be p(-5). Let k = z - 161. Calculate the remainder when 12 is divided by k.
2
Let d(g) = -93*g - 58*g - 2*g + 20 - 36. Calculate the remainder when d(-1) is divided by 30.
17
Let y be 3721/11 - 10/(220/6). Let z = 235 - 154. Suppose 2*o - y = -2*l, -5*o + z + 68 = l. Calculate the remainder when l is divided by 44.
42
Let y = 131 - 92. Let s = -219 - 133. What is the rem