hen f is divided by 12.
10
Suppose -3*y - d = -2094, 2*d - 2094 = 11*y - 14*y. Let i = y - 648. Calculate the remainder when 162 is divided by i.
12
Let k = -262 - -94. Calculate the remainder when 1/(-8) + (-13461)/k is divided by 3.
2
What is the remainder when 719 is divided by 19/((-494)/(-5174)) - (2 - -1)?
131
Let j(u) = u**2 - 16*u - 199. What is the remainder when j(-12) is divided by 82?
55
Suppose 4*y - 4*a - 88 = 0, -12 = -2*y - 5*a + 11. Suppose 9 = 4*z - y. Calculate the remainder when 44 is divided by z.
2
Suppose 5*o + 3*a = 43, -8*o = -3*o + 5*a - 35. Calculate the remainder when 933 is divided by o.
9
Suppose 95 = -2*s + 3*s. What is the remainder when s is divided by (-102)/(-13) - (880/(-143) + 6)?
7
Let l(k) = -14*k + 10. Let u = 2926 - 2905. What is the remainder when l(-8) is divided by u?
17
Let w = 859 + -822. Suppose w*x - 612 = 3*x. Calculate the remainder when 251 is divided by x.
17
Calculate the remainder when 656 is divided by (-16)/200 + 12081/75.
12
Suppose -17*y - 8*y = -75. Let o = 106 - 60. Suppose 29 = 5*a - o. Calculate the remainder when a is divided by y.
0
Suppose f + 2*u = 147, -703 = -5*f - u + 7*u. What is the remainder when 396 is divided by f?
110
Let m be (0/1)/(-3 + (8 - 7)). What is the remainder when m + -71*(-3)/(-6)*-8 is divided by 72?
68
Suppose 0 = -6*k + 21*k - 180. Calculate the remainder when 6/(4 - (-296)/(-76)) is divided by k.
9
Suppose 0 = 3*r + 125 + 142. Let f = r - -187. What is the remainder when f is divided by 140/4 + 2 - 4?
32
Let t(l) = -3*l - 14. Let f be t(-8). Suppose f*z = z + 54. Suppose 0 = z*y - 86 - 124. What is the remainder when 172 is divided by y?
32
What is the remainder when (-4)/(-5) + 14484974/3595 is divided by 30?
10
Let i(g) = -g**2 + 7*g + 581. What is the remainder when 714 is divided by i(-17)?
22
Let c(w) = w**2 - 30*w - 26. Let f be c(16). Let z = 260 + f. What is the remainder when 238 is divided by z?
8
Suppose 28 = 6*r + 4. Suppose -688 = -4*x - r*x. What is the remainder when x is divided by 29?
28
Suppose 7*s + 5*s + 9*s = 504. Calculate the remainder when s is divided by 12.
0
Let p = -11 - -15. Suppose -368 = -10*z - 1718. What is the remainder when (144/(-54))/(3/(z/6)) is divided by p?
0
Let h(r) = 68*r + 440. What is the remainder when 133 is divided by h(-6)?
5
Let h(n) = -5*n**2 + 32*n - 52. Let k(c) = 25 - 2*c**2 - 19 + 11*c - 23. Let z(l) = -3*h(l) + 8*k(l). Calculate the remainder when 43 is divided by z(-9).
10
Let u = -6321 - -6332. Calculate the remainder when 5*2 - 10/(-10) is divided by u.
0
What is the remainder when (-1357)/69*63/(-7) is divided by 12?
9
Suppose 986 + 1174 = 54*z. Calculate the remainder when 3318 is divided by z.
38
Let m be 3 + -7 - (-6 + 0). Suppose c - 2*q = 11 + 31, 0 = m*c - 3*q - 86. What is the remainder when c is divided by 12?
10
Let h = 55 - 0. Suppose 0 = -818*a + 807*a + 88. Calculate the remainder when h is divided by a.
7
Suppose -w + 131 = b, 9*b = 4*w + 6*b - 510. What is the remainder when 426 is divided by w?
39
Suppose -u + 22*f + 4 = 24*f, -5*u + 2 = f. Suppose -i + 2*x + 112 = u, 5*i - 576 = 5*x - 3*x. What is the remainder when i is divided by 43?
30
Let n be (-5*4/(-100))/(3/75). Suppose 0 = -3*h + 5*h - 5*p - 71, -n*h + 4*p = -169. Calculate the remainder when h is divided by 7.
5
Let b = 41 + 59. Suppose -4*q = 3*r - 86, 0 = -3*r + 5*q - 2*q + 114. Calculate the remainder when b is divided by r.
32
Let o(j) = 3*j**2 + 35*j + 184. Calculate the remainder when 980 is divided by o(-6).
78
Let z(r) = 184*r**2 - 47*r + 84. What is the remainder when z(-6) is divided by 6?
0
Let v be (-5 - -5 - (2 + 3)) + 651. Suppose 0 = -8*q - 518 + v. Suppose -300 = -2*z - 3*z. What is the remainder when z is divided by q?
12
Suppose 512 = b - 3*m, -496 = -b - 0*m + m. Calculate the remainder when b is divided by 19.
13
Let y be (3 + -1)*(-392)/(-49). Suppose 0 = -y*p + 8*p + 104. What is the remainder when 64 is divided by p?
12
Let s(g) = 19*g - 310. What is the remainder when 84 is divided by s(20)?
14
Suppose -5 = -2*g + n + 9, 2*g - 22 = 3*n. Suppose 3*k = -o + 26 - 10, -3*o = -4*k - 9. What is the remainder when -1 + g + (o - 3) is divided by 3?
2
Suppose 2*h - 2*o = 614, 0 = -2*h - 5*o + 380 + 255. Suppose 4*z = h + 54. Let n = z + 5. What is the remainder when n is divided by 25?
21
Let v(f) = 14*f**3 + 4*f**2 - 12*f + 9. What is the remainder when v(2) is divided by 3/(333/(-3654) - (-3)/21)?
55
Let w(u) be the second derivative of 3*u**3/2 - 32*u**2 - 646*u. Let c be (-7 - 3)/(1/(-1)). What is the remainder when w(c) is divided by 10?
6
Let o(w) = w + 39. Let i(b) = -2*b - 98. Let k(c) = 5*i(c) + 12*o(c). Let u be k(10). What is the remainder when (-5)/(20/122)*u is divided by 9?
7
Calculate the remainder when (14 - (12 + 4)) + 42 is divided by 11.
7
Suppose -y - 2*y + 9 = 0. Suppose 3*c = 60 - y. Let h = -1488 - -1579. What is the remainder when h is divided by c?
15
Suppose 5*a - 5800 = -2*b, a - 1160 = 76*b - 73*b. Calculate the remainder when a is divided by 43.
42
Let k = -31 - -45. Let y(g) = -2*g**2 + 64*g - 60. Let r be y(31). Suppose -7*h - r*h = -225. What is the remainder when h is divided by k?
11
Let n be (-6)/(-24) + (-62)/(-8). Suppose -25 = n*z - 9*z. Let w = z + -1. What is the remainder when w is divided by 14?
10
Calculate the remainder when 124 is divided by (-182262)/(-4440) - (-2)/(-40).
1
Suppose 2*a = -6*a + 4546 - 4066. What is the remainder when 1277 is divided by a?
17
Let f(r) = 2*r**3 - 41*r**2 - 17*r - 28. Let w = -85 + 44. Let q = 70 + w. What is the remainder when f(21) is divided by q?
27
Suppose -129*t + 4098 - 357 = 0. What is the remainder when 1130 is divided by t?
28
Let o = -10256 + 10363. Calculate the remainder when 1621 is divided by o.
16
Suppose 13*v - 3*v = 140. Suppose v*y + 12*y - 260 = 0. Calculate the remainder when 17 is divided by y.
7
Suppose -992*w + 3*u = -989*w - 150, 4*u + 252 = 5*w. Calculate the remainder when 365 is divided by w.
1
Let l = -79 + 88. Suppose -41 = -l*z + 112. Calculate the remainder when 42 is divided by z.
8
Let m = -36 - -189. Suppose 4*w + 2*k - 198 = 0, -15*w + 225 = -10*w - 5*k. Suppose 7*s + w = m. What is the remainder when 59 is divided by s?
14
Let c = -13 + 22. Let x be (6/12 + -1)*-2 - 22. Let s(o) = 5*o + 125. What is the remainder when s(x) is divided by c?
2
Suppose 0 = -21*u + 22*u - 2. Let r(t) = -t - 5*t - t**u - 7*t + 4*t - 3. Calculate the remainder when r(-7) is divided by 2.
1
Suppose -111 + 54 + 54 = -a. Calculate the remainder when 1515 is divided by a.
0
Suppose -h - c + 20 = 0, 2*h + h - 65 = -2*c. Let k(j) = -j**2 - 9*j - 24. Let q be k(14). Let t = -247 - q. Calculate the remainder when t is divided by h.
24
Suppose -2982*k + 2980*k = -178. Suppose -9*b + 8*b + 31 = 0. What is the remainder when k is divided by b?
27
Let p be ((-128)/160)/(((-4)/(-10))/(-2)). Suppose p*f - 5*g - 2 = 0, 0 = -f - 2*g - 2*g + 11. What is the remainder when 20 is divided by f?
2
Suppose 9 = -217*k + 220*k. Suppose -k*h = 3*c - 27, 10*h + 3 = 11*h + 3*c. Calculate the remainder when 116 is divided by h.
8
Let b = 25 - -57. Calculate the remainder when b is divided by -2 + -6 - (14 - (35 + -1)).
10
Let k = 241 - 238. Suppose -4*t - 4*d = -112, 53 = k*t - d - 43. What is the remainder when 104 is divided by t?
11
Let j(d) = 88*d**2 + d - 1. Let s be (3 + (2 - 4))*1. Let k(h) = 4*h**3 - 11*h**2 + 4*h - 6. Calculate the remainder when j(s) is divided by k(3).
13
Suppose 9*u + 153*u - 252720 = 0. What is the remainder when u is divided by 11?
9
Let w = 356 + -178. Calculate the remainder when w is divided by 32 - (190/(-20))/19*-12.
22
Suppose -12 = -j + 3*a, 3*j = 2*a - 0*a + 15. Suppose 7*o - 476 = j*o. Suppose -200 = -7*p + 2*p. Calculate the remainder when o is divided by p.
39
Suppose 40*t - 25*t = 30. Suppose -z + 11 = -t*m, -4*m = -13*z + 14*z - 41. What is the remainder when 166 is divided by z?
19
Let y = 13 - -5. Let g(u) = u**3 - 139*u**2 + 21*u - 8 - 20*u + 121*u**2 + 0*u**3. What is the remainder when 49 is divided by g(y)?
9
Let t be (-40656)/(-48) - (1 + -6). Suppose -23*a = -17*a - t. What is the remainder when a is divided by 51?
40
Let i = -738 - -1159. What is the remainder when i is divided by 70?
1
