e -3*p = -r*f - 2*p + 62, 0 = -5*f - 2*p + 71. Calculate the remainder when 23 is divided by f.
10
Let o(s) = -7*s + 4*s**2 + 4*s + 0 - 3. What is the remainder when o(-2) is divided by (3 - 2)/(2/14)?
5
Suppose 0 = -5*l - 3*h + 876, 4*l - l - 5*h - 512 = 0. Calculate the remainder when 348 is divided by l.
0
Suppose 0 = -23*l + 18*l + 15. Suppose 0 = -l*x - 12, 3*x = n + x - 26. Calculate the remainder when 50 is divided by n.
14
Let z(f) = 2*f - 7. Let n be ((-4)/2)/((-9)/36). Calculate the remainder when z(n) is divided by 3.
0
Suppose -2*a = -3*p + 64, 0 = -3*a - 2*p - 58 - 25. Let o = a + 48. Calculate the remainder when o is divided by 4.
3
Let h(s) = -10*s**2 + 110*s + 3. Suppose 0 = -3*p + 5*t - t + 25, p - t - 8 = 0. Calculate the remainder when p is divided by h(11).
1
Let r = 51 - 43. What is the remainder when 2/(-8) + (-471)/(-12) is divided by r?
7
Let u = -1914 - -2121. Calculate the remainder when u is divided by 69.
0
Let x = 69 + 17. What is the remainder when x is divided by 45?
41
Suppose 2*z = -q + 49, -5*z = -3*q + 84 + 19. Let g = -21 + q. Calculate the remainder when 54 is divided by g.
14
Let m(o) = o + 3. What is the remainder when m(4) is divided by ((-4)/(-10))/(70/(-150))*(-98)/21?
3
Let m(o) = 2*o**2 - 5*o + 14. What is the remainder when 154 is divided by m(2)?
10
Let v(g) = -g**2 + 6*g - 6. Suppose -n - 5 = -4, -5*n = -2*y + 181. Suppose -84*d = -y*d + 8. What is the remainder when v(4) is divided by d?
0
Let c(t) = t**3 - 5*t**2 - 4*t + 15. Suppose 4*g - 296 = -4*s, -2*g - 4 = s - 73. What is the remainder when s is divided by c(6)?
25
Suppose -z = -2*p - 11, -5*p = -6*p - 4*z - 10. Calculate the remainder when (-1241)/(-68) + p/(-8) is divided by 8.
3
Suppose -2*t = 4 - 14. Let z = -25 + 52. What is the remainder when z is divided by t?
2
Suppose -i - 10 + 30 = 0. Calculate the remainder when i is divided by (14/8 - -1)*4.
9
Suppose 0 = j - 4*j + 42. Suppose 2*p - 53 = 5*o, 3*p = -4*o + 15 + 53. Calculate the remainder when p is divided by j.
10
Suppose -9*i - 386 = -5*y - 13*i, 0 = -3*y + i + 235. What is the remainder when 103 is divided by y?
25
Let c(t) = t**3 - 8*t**2 + 2. Let b be c(8). Suppose -3*v + 3*f = -9, -4*v + 5*v = 2*f + b. Suppose 4 = v*a - 4. What is the remainder when 4 is divided by a?
0
Let l = -2530 - -2565. Let s(u) = u**2 - u - 2. What is the remainder when l is divided by s(-3)?
5
Suppose 8 = -5*z + 33. Suppose z*g - g = 5*q - 40, g = -5. Suppose -9 + 4 = -i. Calculate the remainder when i is divided by q.
1
Suppose 3*v = 3*n - 30, 37*v - 34*v = 2*n - 16. What is the remainder when 3107 is divided by n?
13
Let s(o) = o**2 + 3*o. Let r be s(-4). Calculate the remainder when ((-267)/(-2))/(3/r) is divided by 60.
58
Let i(j) = 24*j + 16. Let p(v) = 5*v + 3. Let m(f) = -3*i(f) + 14*p(f). Let d = 15 - 4. Calculate the remainder when d is divided by m(-5).
3
Suppose 5*p = p. Suppose 0 = -4*g + 8 - p. Suppose 4*f - d - 93 - 16 = 0, 44 = g*f - 4*d. What is the remainder when f is divided by 10?
8
Suppose -3*o = -r, -r + 2*o + 4 = -0*r. Let u(s) = -20*s**2 + 841*s + 61. What is the remainder when u(42) is divided by r?
7
Let v = 6 - 4. Suppose -5*y + 6*k - v*k - 90 = 0, -5*y = 4*k + 90. Let j = y - -39. What is the remainder when j is divided by 11?
10
Suppose -42*g = -45*g + 183. Let q = 101 - g. Calculate the remainder when q is divided by 22.
18
Let w be 3 - 1 - (4 - 13). Let m = w + 2. Let k = 123 - 86. What is the remainder when k is divided by m?
11
Let n = 37 - 41. Calculate the remainder when (-915)/(n - 1) + 1 is divided by 17.
14
Let s = 650 - 2129. Suppose z = 2*z - 8. What is the remainder when s/(-68) - 1/(-4) is divided by z?
6
Let i be 18/4 + 2*2/(-8). Suppose 5*c - 395 = i*y, 4*c - 310 = -2*y + 4*y. Let b = 53 + -15. What is the remainder when c is divided by b?
37
Let x(j) = -2*j - 53. Let v(a) = 3*a + 79. Let h(z) = 5*v(z) + 7*x(z). Calculate the remainder when 35 is divided by h(-10).
7
Let g(r) = -23*r + 194. What is the remainder when 479 is divided by g(8)?
9
Suppose -4*v = -2 - 34. Suppose -v*i + 19*i = 150. What is the remainder when 26 is divided by i?
11
Let q(d) = -d + 13. Calculate the remainder when 155 is divided by q(-11).
11
Let u be (-108)/(3/(-1)) - 3. Suppose 4*f = g + 4, 5*g - u - 23 = f. Calculate the remainder when 58 is divided by g.
10
Let x be (11/(-3) + 4)*-9. Suppose -4*t = -b, 0 = -b - 2*t - 2*t + 32. Let j = b + x. What is the remainder when 51 is divided by j?
12
Let d(v) be the first derivative of 3*v**2/2 - 6*v + 19. Calculate the remainder when d(8) is divided by (-2)/4 - 42/(-4).
8
Let v(w) = 10*w - 322. What is the remainder when 65 is divided by v(34)?
11
Let q(h) = -3*h - 3. Let z = 1000 + -953. What is the remainder when z is divided by q(-5)?
11
Let u be 2/((-4)/(-32)*4). Suppose -5*a = -4*q - 20, 5*q = 4*q - a + u. Suppose q*f + 93 = f. What is the remainder when f is divided by 32?
29
Let j = -6 + -21. Let m = j - -30. Let p = 24 - 21. What is the remainder when p is divided by m?
0
Let c(w) be the third derivative of -5*w**4/24 + w**3/3 + w**2. Suppose 14*z - 22*z = 32. Calculate the remainder when c(z) is divided by 12.
10
Let b be 2/(-6) - 155/(-15). Suppose b*w = w + 18. Calculate the remainder when 6 is divided by w.
0
Let g = 17 - 26. Suppose 0*k = 3*k - 9. Calculate the remainder when ((-3)/g)/(4/72) is divided by k.
0
Let h(q) = q**3 - 4*q**2 + 7*q - 5. Let i(s) = -s**3 - 23*s**2 + 77*s + 5. What is the remainder when h(5) is divided by i(-26)?
24
Let o(p) = p**3 + 10*p**2 + 13*p + 13. Let k = -72 + 64. What is the remainder when o(k) is divided by 13?
11
Suppose 338 = -3*c + 125. Let l = -40 - c. Suppose -3*m - 13 = -64. Calculate the remainder when l is divided by m.
14
Let s = 460 + -421. Calculate the remainder when 150 is divided by s.
33
Let n(r) = 3*r - 4*r - 7*r + 4*r + r**2 + 16. Calculate the remainder when n(7) is divided by 19.
18
Suppose 0 = -39*c + 31*c + 56. What is the remainder when 53 is divided by c?
4
Suppose j = r - 3*r - 146, -2*r = 4*j + 152. Let s = r + 81. Calculate the remainder when 32 is divided by s.
5
Let v(y) = 13*y**2 + 9*y - 4. What is the remainder when v(-4) is divided by 47?
27
Let i = -19 + 23. What is the remainder when 85 is divided by (-124)/(-8) + 6 - (-2)/i?
19
Let x = 425 + -397. What is the remainder when 64 is divided by x?
8
Suppose -2*m = 8, -5*g + 0*m = -4*m - 221. Let a(p) = 77*p - 139. What is the remainder when g is divided by a(2)?
11
Suppose 4*a + 4 = 0, 59 = 3*j - a - 59. Let s = j + -27. What is the remainder when s is divided by 8?
4
Suppose f + f = 14. Suppose -2*v = -6*v + 44. Calculate the remainder when f is divided by (-2)/(-5)*(v + -1).
3
Let q(f) = 9*f**3 - f**2 + f - 2. Let i be q(-2). Let a = -21 - i. Calculate the remainder when a is divided by ((-14)/21)/(1/((-90)/4)).
14
Let d(w) = w**2 - 13*w - 105. What is the remainder when (16/(-12))/((-2)/48) is divided by d(19)?
5
Suppose 0 = -46*d - 75*d + 2299. Calculate the remainder when 201 is divided by d.
11
What is the remainder when 170 is divided by (-33669)/(-522)*(8/(-6))/(-2)?
41
Suppose 174 = 4*r - 2*f, 0 = -3*r - f + 71 + 67. Calculate the remainder when 45 is divided by r.
0
Let k be (42/(-8))/((-1)/16). Suppose -2*s - 4*s + k = 0. Calculate the remainder when s is divided by 5.
4
Let d(g) = -g - 2. Let x be d(-2). Let l(r) = -r. Let j(c) = 5*c + 25. Let u(f) = j(f) + 6*l(f). Calculate the remainder when 49 is divided by u(x).
24
What is the remainder when 3 - -4 - (-7 + -91) is divided by 30?
15
Let n = 31 - -39. Let k = 82 - n. What is the remainder when 71 is divided by k?
11
Suppose -5*l = 3*i - 10, -2*l + l - 26 = -5*i. Suppose -4*x - i*s = -134 + 39, -s = -x + 17. What is the remainder when x is divided by 9?
2
Calculate the remainder when 421 is divided by (-554)/(-4) - (-66)/132.
4
Let p = -3 - 7. Let u(n) = -n - 6. Calculate the remainder when 108/(-72)*28/(-6) is divided by u(p).
3
Let y be (-24)/6 - (-274 + -2). Suppose 9*t - 5*t = y. Suppose 5*a - 4 = -2*v, v + 5*a = 5*v - t. What is the remainder when 57 is divided by v?
9
Suppose d - 44 = 3*z, 6*d - 3*z + 26 = 7*d. What is the remainder when 85 is divided by d?
15
Let i = -23 + 37. What is the remainder when 265 is divided by i?
13
Let b = 2