c = -22 + 36. Let g(z) = -11*z + 10. Let w = 99 + -103. What is the remainder when g(w) is divided by c?
12
Let b = -12 - -18. Calculate the remainder when 2/b + 555/9 is divided by 1133/99 + -11 - 280/(-18).
14
Let v(u) be the first derivative of 13*u**2/2 - 154*u - 6. What is the remainder when 557 is divided by v(18)?
77
Suppose 0 = 4*i + 29 - 37. Let d = 15 - i. Calculate the remainder when (1/(-1))/(1/(-33)) is divided by d.
7
Let w = -308144 - -308164. Suppose 4*m + 80 = 5*m. What is the remainder when m is divided by w?
0
Let s be -3 + (3/9)/((-3)/(-36)). Suppose -16 = -3*z - 5*y, 0*y - s = y. Suppose z*n + 2*n = 261. What is the remainder when n is divided by 10?
9
What is the remainder when 195 is divided by (-454)/(-18) + (13 - 595/45)?
20
Suppose 39*l = -29*l + 27608. Suppose -2*h + 10 = -38. Calculate the remainder when l is divided by h.
22
Suppose z - 4*z = -39. Suppose 10*j = j + 18. Suppose j = l - 20. Calculate the remainder when l is divided by z.
9
Suppose w = -5*x + 1735, 0 = 628*x - 632*x - 5*w + 1409. What is the remainder when x is divided by 125?
96
Suppose -f + 0*a = 4*a - 60, 0 = 4*f + 5*a - 218. Calculate the remainder when f is divided by (6/(18/5))/(140/756).
7
Suppose 48*s = 92*s - 440. Calculate the remainder when 216 is divided by s.
6
Let x(p) = 9*p + 7. Let v be x(-1). Let o be -132*v/((-16)/(-20)). Suppose 12*l - o = l. Calculate the remainder when 57 is divided by l.
27
Let v be (-18)/(-4)*(-368)/(-138). Suppose -v*r - 2*g = -14*r + 12, 3*g - 22 = -r. Calculate the remainder when 155 is divided by r.
5
Suppose 0 = -2*l + 1475 - 261. Let d(j) = 431*j**2. Let y be d(1). Let z = l - y. What is the remainder when z is divided by 36?
32
Let o(w) = -4*w**3 + 12*w**2 - 3*w + 13. Let q be o(3). Calculate the remainder when 65 is divided by 408/(-16)*q/(-6).
14
Suppose 5*y = o - 18, -5*o + 63 = -127*y + 129*y. What is the remainder when 126 is divided by o?
9
What is the remainder when 45 is divided by (108/945)/((-4)/(-14)) + 69/15?
0
Let m = -10805 + 12098. What is the remainder when m is divided by 409?
66
Let o = 141 - 141. Suppose o = -3*l - 112 + 160. Let x(r) = 7*r**2 - 3*r - 5. Calculate the remainder when x(4) is divided by l.
15
What is the remainder when 289 is divided by (-12900)/946*66/(-9)?
89
Suppose -24*w + 99 = -15*w - 8*w. Calculate the remainder when 287 is divided by w.
89
Suppose -4*i = 11*i + 2*i - 1530. Calculate the remainder when 102 is divided by i.
12
Suppose 201*u = -1047 + 9087. Calculate the remainder when 253 is divided by u.
13
Suppose -13*p + 829 = -198. Calculate the remainder when 2364 is divided by p.
73
Let j(w) = -31*w - 6. Suppose 15 = -5*q + 2*q. What is the remainder when j(q) is divided by -21*1/3 + 66 - 9?
49
Suppose 2 = 2*t - 16*y + 11*y, 0 = 3*t + 4*y - 49. Suppose -22*v = -t*v - 165. Calculate the remainder when v is divided by 7.
1
Let j(c) be the third derivative of -c**5/60 + 8*c**3 - 2*c**2. Suppose 21444 = -150*y + 30732 + 26562. What is the remainder when y is divided by j(0)?
47
Let i(b) = -1017*b - 1650. What is the remainder when 1536 is divided by i(-2)?
0
Let m be (-2)/4 - -81*(-4)/(-8). Suppose m = -2*t + 44. Suppose 9 = -u + 5*d, -u - 5*d - 15 = -6*u. Calculate the remainder when u is divided by t.
0
Let n = 748 - 720. Let f(w) = 21*w - 405. Calculate the remainder when f(n) is divided by 8.
7
Suppose -s + 347 = 4*a, 6*a = 3*a + s + 269. What is the remainder when a is divided by 45?
43
Suppose -6750 = -2*i + 5*n, 3*i - 1499*n - 10152 = -1496*n. What is the remainder when i is divided by 53?
51
Let n(g) be the third derivative of g**6/120 + 7*g**5/30 - g**4/3 + 31*g**3/6 + 51*g**2 - 3*g. Calculate the remainder when n(-14) is divided by 37.
32
Let z(p) = p**2 + 12*p + 17. Suppose 0 = -3*i + x - 40, -3*x + 48 = 4*i - 7*i. Calculate the remainder when 21/63 + (-149)/(-3) is divided by z(i).
16
Suppose -377 = -13*c - 2496. Let a = c + 185. Suppose -449 = -4*h + 3*d + 248, 3*h = 3*d + 525. What is the remainder when h is divided by a?
18
Suppose 98 = 3*d + 3*j - 115, 5*j + 25 = 0. Suppose 0 = 21*f - 104 - 87 - 166. What is the remainder when d is divided by f?
8
Let j(s) = s**3 + 6*s**2 - 14*s + 32. Let o be j(-8). Suppose -3*n - 2678 = -o*n. What is the remainder when n is divided by 35?
31
Let r = -1501 - -1543. What is the remainder when 1319 is divided by r?
17
Let v = 9021 - -10689. Calculate the remainder when v is divided by 224.
222
What is the remainder when (-199 + 2041)/((-4)/(-10)) is divided by 9?
6
Let c(p) = -p**2 - 12*p - 13. Suppose 2*b - k - 613 = 0, -b - 3*k = -2*b + 309. Let n = b + -211. Calculate the remainder when n is divided by c(-9).
11
Let a = -159 - -271. Calculate the remainder when 8*a/((-28)/(-4)) is divided by 60.
8
Let n(f) = f + 238. What is the remainder when n(-84) is divided by 87?
67
What is the remainder when 4424 is divided by -361 + 2587 + 0 + -18?
8
Let t be (-335)/(-65) - (-4)/(-26). Suppose t*i + 5*x = 5, -6*x + 2*x - 11 = -i. Let f = 16 + i. What is the remainder when f is divided by 7?
5
Suppose 3*h - 27 = -x + 44, -3*h = 5*x - 367. Let m = -1 - -6. Suppose g + m = 3*w - 78, 4*g = -8. Calculate the remainder when x is divided by w.
20
Let f(l) = 13*l**2 - 30*l - 6. Let u(s) = -s**3 + 3*s**2 - 8*s + 27. Let g be u(3). What is the remainder when 27 is divided by f(g)?
6
Suppose 52*m = -27*m + 1687 - 423. What is the remainder when 21181 is divided by m?
13
Suppose t = -2*b + 4*b - 102, 4*b + 4*t - 228 = 0. Let a(o) be the first derivative of 15*o**2 + 6*o + 106. What is the remainder when a(5) is divided by b?
50
Suppose 0 = 44*h - 640 - 108. What is the remainder when 1223 is divided by h?
16
Let u(y) = 2*y**2 - 7*y + 4. Calculate the remainder when 54 - (-25 + 23 - 10) is divided by u(6).
32
Suppose -6*u + 8*u = -31*u + 5907. Let i = -84 + 129. Calculate the remainder when u is divided by i.
44
Let w(k) = 84*k**2 + 13*k + 9. Let s be w(-2). Let y = -266 + s. Calculate the remainder when y is divided by 27.
26
What is the remainder when 155*-1*((-2622)/115)/19 is divided by 9?
6
Suppose -x + 5*h - 59 = 0, h = 53*x - 49*x + 293. Suppose -3*w - 347 = 25. Let q = x - w. Calculate the remainder when q is divided by 13.
11
Let u = 238 + -149. Suppose 3*b - 3 = 3. Let m(z) = 2*z**3 + 2*z**2 - 3*z + 5. What is the remainder when u is divided by m(b)?
20
Let p(u) = u**2 - 40*u - 678. What is the remainder when p(59) is divided by 258?
185
Suppose -3*m = 2*m + 2*w - 381, 4*w = -6*m + 470. Let y = -36 + 79. Let s = -15 + y. Calculate the remainder when m is divided by s.
17
Suppose -6*m + 10*m = -3*a + 2464, 0 = a - 5*m - 853. Calculate the remainder when a is divided by 166.
164
Suppose 3*f - 4*s + 3371 - 3457 = 0, 0 = -2*f - 5*s + 88. Calculate the remainder when 1774 is divided by f.
6
Let k(b) = -33*b - 10. What is the remainder when 2/(-3 + (-560)/(-185)) is divided by k(-1)?
5
Let a = -7945 - -7949. Calculate the remainder when 11 is divided by a.
3
Let s(l) = -33*l - 3. Calculate the remainder when s(-2) is divided by (-992)/(-168) - 14/(-147).
3
Let s = -12624 - -29701. Calculate the remainder when s is divided by 35.
32
Suppose 0 = 60*z - 57*z - 2112. Suppose -7*r + z + 45 = 0. Let q = -72 + r. What is the remainder when q is divided by 9?
8
Let o(q) = 2*q**2 + 14*q + 19. Let x = -210 - -198. Calculate the remainder when o(x) is divided by 20.
19
Let f(a) = a**2 - 7*a - 283. Calculate the remainder when 1715 is divided by f(-14).
10
Let t be (-5 - 2)/(1/(-22)). Let o = t + -37. What is the remainder when o is divided by 6*(4*1 - -1)?
27
Suppose c - 2*p + 0*p = 568, c = 5*p + 589. Calculate the remainder when c is divided by 115.
94
Let d(f) be the first derivative of 13*f**3/3 + 7*f**2/2 + 11*f - 15. What is the remainder when d(-2) is divided by 18?
13
Let w = 814 - 1754. Let d = w + 988. Suppose -2*x - 47 = -3*z + 23, z + 5*x = 46. What is the remainder when d is divided by z?
22
Suppose 95 - 257 = -6*g. Let m(c) = c**3 + 3 + 0 + 3. Calculate the remainder when g is divided by m(0).
3
Let b(r) = -16*r + 5. Let v(g) = 22 + 6*g**2 + 70 + 0*g**2 - 5*g**2 - 33*g + 61. Calculate the remainder when b(-6) is divided by v(28).
10
Calculate the remainder when 388 is divided by 3/21 - (-14 + 21195/(-105)).
172
Suppose -4*c