*s**3. Calculate the remainder when f(5) is divided by 16.
13
Suppose 0 = -4*h + 6 + 10. Suppose h*a = 5*a. Suppose -w = 3*m - 31, 4*w - 8*w + m + 72 = a. Calculate the remainder when 75 is divided by w.
18
Calculate the remainder when (0 + 2)/4*(-10152)/(-36) is divided by 48.
45
Let v be (2/(-3))/((-6)/153). Suppose v = 5*s + 2. Suppose s*d - 69 = -0*d. Calculate the remainder when d is divided by 8.
7
Let h = -3739 - -3792. Calculate the remainder when h is divided by ((-4)/(-8))/(2/68).
2
Calculate the remainder when 111 is divided by (1 - (-1)/(-2))/(3/48).
7
Suppose -d - 4*d + 70 = 0. Suppose -2*i = 4*h - 154, -5*h - 3*i + 153 = -h. Suppose o - 15 = h. Calculate the remainder when o is divided by d.
12
Let d(x) = 15*x - 67. Let g be ((-170)/(-25))/((-1)/(-5)). Let s = g - 13. Calculate the remainder when s is divided by d(5).
5
Let z(a) = -2*a**2 + 10*a + 11. Let f be z(5). Suppose f*g = 254 + 318. What is the remainder when g is divided by 11?
8
Let w = -439 + 475. Calculate the remainder when 107 is divided by w.
35
Suppose 13*o - 61 - 43 = 0. Let g(x) = -3*x**2 + 2*x - 3. Let y be g(3). Let j = 7 - y. Calculate the remainder when j is divided by o.
7
Let q = 201 - 351. Suppose -2*s - 3*s + 65 = 0. Calculate the remainder when (4 - 2)/((-12)/q) is divided by s.
12
Suppose 0*l = 3*l - 216. Suppose -2*t + 6*i - 4*i - 4 = 0, 0 = 5*t - 4*i + 8. Suppose t*r + 4*r = l. Calculate the remainder when r is divided by 5.
3
Let a = 109 + 107. What is the remainder when (-27)/a - (-385)/8 is divided by 14?
6
Let y(z) = -z**2 + 3*z - 4. Let g be y(7). Let n = g - -39. Calculate the remainder when 12 is divided by n.
5
Let r(v) = -v**3 + 6*v**2 + 34*v - 25. Calculate the remainder when 149 is divided by r(9).
35
Let w(d) = -4*d**3 - 3*d**2 + 2*d + 2. Let l be w(-3). Let f = -56 + l. Calculate the remainder when 60 is divided by f.
18
Suppose 3*l = -l - 28. Let w(g) = -7*g + 1. Let n be w(l). Suppose 8 = 2*c - n. What is the remainder when 57 is divided by c?
28
Suppose 4*c = 57 + 195. Calculate the remainder when c is divided by 8.
7
Suppose 0 = -8*i + 5*i + 2*f + 82, 4*f + 80 = 3*i. Let t = i + -9. Suppose 3*q = -2*l - 0*q + 26, 2*q = -l + 14. What is the remainder when t is divided by l?
9
Let p(g) be the third derivative of -g**6/120 + 3*g**5/20 - g**4/2 - 13*g**3/6 - 25*g**2. Calculate the remainder when p(6) is divided by 8.
7
Let u = -32 - -31. Let y(p) = -26*p**3 + p + 2. Calculate the remainder when y(u) is divided by 14.
13
Suppose -2*d + 205 = -7*d. Let f = 6 - d. What is the remainder when f is divided by 25?
22
Let i = -10 + 10. Let y be -3 + 0/(-2 - i). Calculate the remainder when (y + 1 + 100)/1 is divided by 25.
23
Let l(n) = 4*n + 6. Suppose -15 = -8*h + 17. What is the remainder when l(h) is divided by 8?
6
Let r(o) = 5*o - 110. Let x = 0 + 0. Suppose 77 = 2*d - a, a = -4*d - x*d + 163. What is the remainder when d is divided by r(25)?
10
Let y be (63/(-14))/(1/(-2)). Suppose -4*c + y*c - 185 = 0. What is the remainder when c is divided by 20?
17
Suppose -3*b = -6*b + 6. Suppose -3*n - h + 22 = 0, 0 = -8*n + 12*n - 3*h - 25. What is the remainder when n is divided by b?
1
Let l = 218 - 204. What is the remainder when l is divided by 8?
6
Suppose -5*g = -1 - 4. Suppose 4*v - 1 = c + g, 2*c - 5*v = 2. Suppose 0 = 3*r - 5*t - 49, r = 2*r - 2*t - 15. What is the remainder when r is divided by c?
5
Let h(i) = i + 12. Let c be h(-10). Let j be -333 - (-2 - c/2). What is the remainder when 34 is divided by (6/10)/((-11)/j)?
16
Suppose 3*t - 297 = 3*x, 5*t = -0*t - x + 489. Calculate the remainder when t is divided by 9.
8
Let n(r) = 3*r + 14. Let l be n(-7). Let m = l - -9. What is the remainder when 32 is divided by 1/(-4)*m*-24?
8
Let i(r) = -r**3 - 6*r**2 - 7*r - 7. Suppose 3*c + 25 = -2*c. Let v be i(c). Suppose -v*a = -0*a - 57. Calculate the remainder when 54 is divided by a.
16
Let w(l) = 19*l + 19. Let h be w(-13). Calculate the remainder when 43 is divided by 1*(-1)/(-5) - h/10.
20
Calculate the remainder when 222 is divided by -3 + 16 + (-7 - -10).
14
Let h(b) = b**2 + 27*b - 7. Let p(i) = -3*i**2 - 81*i + 20. Let r(l) = -7*h(l) - 2*p(l). Calculate the remainder when r(-12) is divided by 10.
9
Let t(w) = 7*w + 4. Let d(l) = -l - 1. Let p(k) = -6*d(k) - t(k). Calculate the remainder when 73 is divided by p(-17).
16
Suppose -196 = -j + 2*y + 3*y, j + 3*y - 188 = 0. Let o = j + -117. Calculate the remainder when o is divided by 25.
24
Suppose 2*g - y - 19 = 20, -3*g + 57 = -2*y. Calculate the remainder when g is divided by 4.
1
Let n = 273 - 242. What is the remainder when 81 is divided by n?
19
Let c(o) = 2*o**2 - 11*o - 9. Suppose 6*z - 40 = 16*z. What is the remainder when c(z) is divided by 5?
2
Suppose z - 18 = -5*u, 20 = -4*u + 9*u. Suppose 0 = 2*k - 4*k + 3*x - 21, 4*k = 5*x - 43. Let m = z - k. Calculate the remainder when 37 is divided by m.
7
Let h(o) be the second derivative of -o**4/12 - 3*o**3/2 + 9*o**2/2 - 11*o. Let a = -12 - -28. What is the remainder when h(-5) is divided by a?
13
Let t(v) = -v**2 - 34*v + 16. Suppose -3*z + 4 = -5, -3*p + 120 = -4*z. What is the remainder when p is divided by t(-34)?
12
Let n = 2554 - 2537. What is the remainder when 254 is divided by n?
16
Let b = -87 + 138. What is the remainder when b is divided by 28?
23
Let g = -5 + 5. Suppose g*i + 3*i = 36. Suppose z - 169 = -5*k + 3*z, -4*z - 8 = 0. Calculate the remainder when k is divided by i.
9
Suppose -2*s - 230 = -3*w - w, -15 = 5*s. What is the remainder when w is divided by 21?
14
Let i = -25 - -58. Let r = 565 + -434. What is the remainder when r is divided by i?
32
Suppose 0 = -3*z + 13 - 4. Suppose z*r + r = 36. Calculate the remainder when 24 is divided by r + -2 + (-2 - -4).
6
Let m = 35 + -15. Suppose 5*r + 0*r = m. Calculate the remainder when ((-12)/9)/(r/(-54)) is divided by 5.
3
Suppose -2*z - 2*j - j - 3 = 0, 5*j + 5 = 3*z. Suppose 6*m - m - 500 = z. What is the remainder when m is divided by 13?
9
Suppose -7*d = -47*d + 440. What is the remainder when 1*(2 + 51/1) is divided by d?
9
Suppose -h + 6*a - 74 = a, 0 = 4*h - 2*a + 350. Let y = h - -129. Calculate the remainder when y is divided by 12.
4
Suppose -1727*a + 1724*a + 1485 = 0. What is the remainder when a is divided by 162?
9
Suppose 9 = 2*q + 3. Suppose -q*l - 2*l + 205 = 0. What is the remainder when l is divided by 7?
6
Suppose -x = z + z - 3, 5*x + 37 = 3*z. What is the remainder when 38 is divided by -13*(z + 1/(-2)*10)?
12
Let d(f) = 16*f**2 + 58*f + 111. Calculate the remainder when 339 is divided by d(-2).
44
Let t = -46 + 66. Let c = -57 + 60. What is the remainder when 158/2 + 2/(2 - c) is divided by t?
17
Suppose -4*t = 5*y + 29, y + 5 = -4*t - 4. Suppose 161*v - 160*v - 1 = 6. Calculate the remainder when t + 3/((-6)/(-56)) is divided by v.
6
Let b = 4 - -6. Let o = -6 + 9. Suppose -135 = -4*x + 5*r + 14, 3*r = -o*x + 105. Calculate the remainder when x is divided by b.
6
Let s = 1493 + -1244. What is the remainder when s is divided by 43?
34
Suppose 0 = -4*y + 4*h - 124, -2*y = -5*h - 19 + 72. Let d = y + 61. Calculate the remainder when 134 is divided by d.
26
Calculate the remainder when 2/(-32) - (-226476)/1728 is divided by 9.
5
Calculate the remainder when 277 is divided by (-115)/345 + (-44)/(-6).
4
Suppose -d + 315 - 272 = 0. Let c(p) = 11*p**2 + p + 1. What is the remainder when d is divided by c(-1)?
10
Suppose -2*a + 225 = -123. Let c = -90 + a. What is the remainder when c is divided by 17?
16
Suppose 0 = -4*y - 4*a + 344, -41*a = -44*a. Calculate the remainder when y is divided by 39.
8
Let x(i) = i**2 + 7*i + 8. Let y = -2 - 4. Let f be x(y). Suppose -6 = f*s - 42. What is the remainder when 35 is divided by s?
17
Suppose 0 = -t - 3*t + 60. Suppose 0 = 3*g + 3*i - 102, 2 = -i + 3*i. Suppose -2*q + 83 + g = 0. What is the remainder when q is divided by t?
13
Suppose -38*u + 5*m + 464 = -35*u, -u - m + 152 = 0. What is the remainder when u is divided by 41?
30
Let k be 2*(-25)/10 - 47. Let x = 66 + k. Calculate the remainder when 81 is divided by x.
11
Let c be 2/4 + 33/6. Let i = c + -4. Suppose 6 = i*v - 40. What is the remainder when v is divided by 13?
10
Suppose 10 = -638*a + 639*a. What is the remainder when 16 is divided by a?
6