21 + -9)/24)/((-2)/(-20)). Calculate the remainder when 129 is divided by (i + -2 + 48)/(6/4).
27
What is the remainder when -6 + (3/12)/(25/210300) is divided by 21?
18
Let k(b) = b**3 + 6*b**2 + 4*b + 14. Suppose 4*l = 3*l + 56. Let d = -45 + l. What is the remainder when k(-5) is divided by d?
8
Let m(y) = y**2 - y - 17. Suppose -j = 1, -10 = 4*w - 5*j + 5. What is the remainder when m(w) is divided by 5?
3
Suppose 3*c - 37 = -4*o, -2*c + 3*o - 8*o = -20. Suppose -l = -20 - c. Calculate the remainder when l is divided by 8.
3
Calculate the remainder when 264 is divided by (-27)/((-216)/448) - 2.
48
Let z = -13 - -13. Let i be z*(7/(-10) + 2/10). Suppose 3*k + l - 18 = i, 4*l - 17 = k - 2*k. Calculate the remainder when 26 is divided by k.
1
Let u(t) = -2*t**3 + 10*t**2 + 2*t - 9. Let n be (-27)/9*15/(-9) + -2. Calculate the remainder when 121 is divided by u(n).
22
Suppose 0 = -8*y - 4*y. Suppose -5*k - 15 = y, -p - 5*k - 11 = -0*p. What is the remainder when 22 is divided by p?
2
Calculate the remainder when 5196 is divided by 4/(-8) + 4875/50 + 5.
96
Suppose 800*h = 1135*h - 4355. Suppose -2*b - 44 = -4*b. Calculate the remainder when b is divided by h.
9
Let t(i) = -3*i + 4. Let m be t(-26). Let d = -80 + m. Suppose -5*b + 50 = -2*s, -5*b = -d*b + 5*s - 61. What is the remainder when 19 is divided by b?
7
Let o(d) = -d**2 + d + 3. Let q be o(4). Let u(a) = -2*a + 28. Calculate the remainder when u(9) is divided by 2/q - 168/(-27).
4
Suppose -o - 883 = -m, -4*m + 2*o = -2621 - 901. What is the remainder when m is divided by 9?
5
Let x be 3/(-2)*(320/(-24))/4. Calculate the remainder when 2/(-5) + ((-342)/(-30) - x) is divided by 5.
1
Let b = -169 + 157. What is the remainder when 4 is divided by 55/25 + b/(-15)?
1
Let q(i) = 6*i**2 + 4*i + 2. Suppose -45*a = -4*f - 44*a + 52, -4*f = a - 52. Calculate the remainder when q(-2) is divided by f.
5
Suppose 42241 = 4*o + 3*g, 15*o - 19*o + 42206 = -2*g. What is the remainder when o is divided by 59?
53
Let z(q) = 5*q**2 + 12*q - 146. What is the remainder when z(-11) is divided by 80?
7
Suppose 226*c - 221*c = 1685. Suppose 131 = 6*h + 53. Calculate the remainder when c is divided by h.
12
Let s = -127 - -128. Let g(c) = -2*c**2 + c + 2. Let y(a) = 3*a - 10. What is the remainder when y(4) is divided by g(s)?
0
Suppose -a = -4*m + 11, -5*a + 8*m - 7*m + 2 = 0. Calculate the remainder when 251 is divided by ((-15)/(-5) - 4)*a*-14.
13
Suppose -4*g + 5*q = 27, 2*g - 4*g + 5*q - 11 = 0. Let l(d) = d**3 + 7*d**2 - 7*d + 19. What is the remainder when 76 is divided by l(g)?
10
Let z(r) = r**3 - 14*r**2 - 35*r - 50. Let y be ((-24)/36)/((-6)/(-459)*-3). What is the remainder when z(y) is divided by 76?
70
Let i be 4 - -2*(-7 - -6). Suppose 4*w + 736 = i*j + 8*w, -j + 5*w = -389. What is the remainder when j is divided by 47?
45
Let q(o) = o**3 + 7*o**2 - o + 12. Let x be (-2)/(-1) - (6 + -102). Let s be (-952)/x + 4/(-14) + 4. What is the remainder when q(s) is divided by 14?
12
Let z = 4659 - 3750. What is the remainder when z is divided by 48?
45
Let v = -7340 - -7801. What is the remainder when v is divided by 210?
41
Let s = 154 - 97. Suppose -38*u - 78 = -40*u + w, 0 = -3*u - 2*w + 124. Suppose 2*k - u = 18. What is the remainder when s is divided by k?
28
Suppose 39 = -5*k + 3*s, 2*s = -2*k + k - 13. Let a be -23 - (8/(-4) + 0). Let q = k - a. What is the remainder when 22 is divided by q?
10
Let v(b) = 3*b**2 - 20*b - 7. Let z be v(7). Suppose -27*u + 29*u - 48 = z. What is the remainder when 933 is divided by u?
21
Calculate the remainder when 0 + (-1)/(2/(-130)) is divided by (-48 - 5547/(-86))/(0 + (-3)/(-6)).
32
Let r = -13 + -22. Let m = 39 + r. Suppose -9 = -3*y - 0, h + 1 = m*y. Calculate the remainder when 39 is divided by h.
6
Suppose -4*s + 122 = -2*s. Calculate the remainder when (-60*90/(-2400))/((-3)/(-268)) is divided by s.
18
Suppose -29*m + 37*m = 3304. Suppose 0 = 18*z - 55 - m. What is the remainder when 75 is divided by z?
23
Let k be 8 + -8 + (0 - -605*1). Suppose 13*j - k - 6 = 0. Calculate the remainder when 89 is divided by j.
42
Calculate the remainder when 683 is divided by ((-228)/48 + 4)*-76.
56
Let p = 43 - 30. Suppose -p*b + 12*b = -35. Let c = b + -31. Calculate the remainder when c is divided by 1.
0
Suppose -89*s + 91 = -71*s - 107. What is the remainder when 109 is divided by s?
10
Suppose 0 = -3*l + 4*u + 339, -6*l = -8*l - 2*u + 226. Let o = -15 + l. Calculate the remainder when o is divided by 9.
8
Let k = 20681 + -20375. What is the remainder when k is divided by 72?
18
Let r = -4564 - -4661. Calculate the remainder when 290 is divided by r.
96
Suppose -1343 = -76*k - 51. What is the remainder when 209 is divided by k?
5
Let p be 6*6/16*(-8)/(-3). Let r be (p + -16)*48/(-15). Suppose 437 = 3*v + 5*u, 3*v - 2*u - r = 419. Calculate the remainder when v is divided by 15.
14
Let z(j) = 37*j**2 + 2*j + 2127. What is the remainder when z(0) is divided by 31?
19
Suppose 0 = -b + 4*o + 840, 4*b - 5*o - 2903 - 523 = 0. Calculate the remainder when b is divided by 67.
60
Suppose -19*h + 772 + 4837 = 52*h. What is the remainder when 132 is divided by h?
53
Suppose -p - 15 - 1 = 0. Let o be 70/(-4)*((-48)/(-10))/6. What is the remainder when 6 is divided by (p/28)/(2/o)?
2
Let x(o) = -2*o + 7. Let m be -50*112/(-200)*-5. Let p = m - -206. Calculate the remainder when p is divided by x(-8).
20
Let m(u) = 34*u**2 - 7*u + 28. Let d(r) = 18*r**2 - 3*r + 14. Let a(p) = 7*d(p) - 3*m(p). What is the remainder when a(3) is divided by 78?
74
Let p = -22056 - -22117. Suppose 0 = 3*y - 7 - 29. Calculate the remainder when p is divided by y.
1
Suppose -3*v = v - 2*g + 884, 5*v = -2*g - 1105. Let p = 251 + v. Calculate the remainder when 81 is divided by p.
21
Let d = -1952 + 5890. What is the remainder when d is divided by 146?
142
Let v(j) = 46*j + 1. Let c = -228 - -251. Let t = c + -5. What is the remainder when v(1) is divided by t?
11
Let h = 8284 + -7958. Calculate the remainder when 362 is divided by h.
36
Let a = 194 + -179. Suppose g - 234 = -2*g - 3*n, 3*n = -2*g + 160. Suppose 87 = t - g. What is the remainder when t is divided by a?
11
Suppose -856*q + 866*q = 2360. Let i be (4/(-10))/((-1)/5). Suppose 4*o - 4*r = q, o - 3*r - i*r = 59. What is the remainder when o is divided by 12?
11
Suppose 4*q - 7*x + 4*x = 140, -168 = -4*q - 4*x. What is the remainder when 189 - 6 - (0 - -3)/(-1) is divided by q?
34
Let g(m) = m**2 + 2*m. Let j be (-3 - (-20)/5) + -5. Let h be ((-6)/(-9))/(j/42). What is the remainder when g(h) is divided by 12?
11
Suppose -g - 31 = -5*g + 5*t, -4*g = 4*t - 4. Let a be (-1872)/9*(-2)/4. Let j = 105 - a. Calculate the remainder when g is divided by j.
0
Let u be (6/24*0)/2. Suppose u = 10*a - 192 - 1478. Calculate the remainder when a is divided by 19.
15
Suppose -420 = -14*q + 24*q. Let l = q + 69. Calculate the remainder when (938/56)/((-2)/(-16)) is divided by l.
26
Suppose 0 = -12*c + 64*m - 63*m + 259, -5*c + 105 = -m. Calculate the remainder when 2/5 - (-624)/15 is divided by c.
20
Suppose 0 = -4*n - 5*q + 728, 0*n - 3*q + 728 = 4*n. Suppose -5*f - 5 = 0, 87 = 4*b + f + 12. Calculate the remainder when n is divided by b.
11
Suppose -3*z + 15 + 0 = 0. Suppose z*m + 50 = 2*y, -13*y + 100 = -9*y - 2*m. Calculate the remainder when 59 is divided by y.
9
Suppose 2*x = -2*p + 4*p - 16, -4*p = x - 7. Suppose -z + 36*k + 232 = 40*k, -p*z + 689 = 5*k. What is the remainder when z is divided by 46?
44
Calculate the remainder when (-708)/(-59) - 24/3*-1 is divided by (-1)/2*(0 - 12).
2
Let g(o) be the third derivative of -o**5/60 + o**4/4 + 19*o**3/6 + 68*o**2. What is the remainder when 30 is divided by g(7)?
6
Let v = -4641 + 4660. Let i(j) = -j**2 + 7*j - 6. Let s be i(5). Suppose -3*z - 1 = 2, 2*z = s*m - 46. Calculate the remainder when v is divided by m.
8
Let q(o) = -o**2 - 18*o. Let c be q(-18). Let f(a) = a**2 + 3*a + 11. Let x be f(c). Suppose -3*w - 128 = -x*w. What is the remainder when 60 is divided by w?
12
Let i = 393 - 357. Suppose -i = 129*l - 131*l. Calculate the remainder when l is divided by 4.
2
Let d = 2570 + -782. What is the remainder when 18/(-30) - (4 + d/(-30)) is divided by 7?
6
Suppose 0 = 4*y - 38 + 2. What is the rema