2*z + 178, m = 4*g - 5*z. What is the remainder when 122 is divided by g?
38
Calculate the remainder when (948/(-108) + -11)*-27 is divided by 22.
6
Let o = -607 - -691. Calculate the remainder when 135 is divided by o.
51
Suppose -15*i + 377 + 6733 = 0. Suppose 400 = -i*j + 479*j. Calculate the remainder when 559 is divided by j.
79
Suppose 9*u - 62 = 8*u. Suppose 174 = 8*y + u. What is the remainder when 40 is divided by y?
12
Suppose 2*q - 150 = -390*b + 394*b, 0 = -2*q - 4*b + 190. Calculate the remainder when q is divided by 81.
4
Suppose 3*x - 12 = 2*d + 22, -x = -5*d - 20. Let y be (36/x)/((-2)/(-5)). Calculate the remainder when 46/(-3)*(-12 + y) is divided by 24.
22
Let l = 364 - 361. Suppose l*g = -9, g + 33 = 3*j - 3*g. What is the remainder when 5*3/(-6)*-4 is divided by j?
3
Let v(d) = 64*d**2 + d - 1. Let s be v(-1). Suppose -s = -9*k + 73. What is the remainder when 89 is divided by (-2 + -38 - -1)*(-5)/k?
11
Let v = -29 + 32. Suppose v*d + 2*i - 8 = 11, i - 5 = -d. Let b = -13 + 46. Calculate the remainder when b is divided by d.
6
Let m(x) be the third derivative of -1/60*x**6 + 0 + 1/60*x**5 - 1/6*x**3 + 19*x**2 - 1/24*x**4 + 0*x. Calculate the remainder when 62 is divided by m(-2).
20
Suppose -3*r = 22 - 7, -12 = n + 3*r. Let p(v) = -v**3 + 3*v**2 + 9*v. What is the remainder when p(n) is divided by 4?
3
Let b(o) be the third derivative of 14*o**5/15 - o**4/24 + o**3/6 - o**2. Suppose 0 = 98*l + 42 + 56. What is the remainder when b(l) is divided by 16?
10
Suppose -2*w + 18 = -c - 2*c, w = 3. Suppose 4*a - 2*g + 28305 = 28531, -g = -5*a + 275. What is the remainder when 2/(-8) + (-629)/c is divided by a?
49
Suppose 151*m - 87*m = 2624. What is the remainder when 750 is divided by m?
12
Suppose -5*g + 151 = 4*s, -31098*g + 2*s - 87 = -31101*g. What is the remainder when (-1)/(-4) - (-430)/8 is divided by g?
8
Suppose -5*t = 4*t - 3708. Suppose 6*r + 172 = t. What is the remainder when r is divided by 15?
10
Let v(i) = i**2 + 20*i - 36. Suppose -3*a - 5*t - 41 = 0, -3*a = -2*t - t + 81. Let x = -39 + 41. What is the remainder when v(a) is divided by x?
0
Suppose -36*x = -247*x + 406597. What is the remainder when x is divided by 39?
16
Suppose 2*j = -5*y + 880, 13*y - 1736 = -4*j + 9*y. Let u = j + -402. Calculate the remainder when 76 is divided by u.
20
Let c(g) = -63*g**3 + 12*g**2 + 32*g + 10. Calculate the remainder when c(-2) is divided by 42.
36
Calculate the remainder when -1 - (-4756)/246*558/4 is divided by 19.
17
Let h = 1945 + -1286. Suppose 22*f - 353 = h. What is the remainder when 919 is divided by f?
45
Let p(g) = -3 - 10*g + 41*g - 123*g - g**3 - 38 + 0*g**3 - 33*g**2. Calculate the remainder when 113 is divided by p(-30).
18
Suppose 13*n - 586 = 9*n - 2*o, 0 = -3*o - 15. What is the remainder when n is divided by 79?
70
Let d(b) = -b**2 + 33*b - 62. Let n be d(31). Suppose 5*j + 3*y = 145, -3*y - 37 = -2*j - n. Calculate the remainder when 60 is divided by j.
8
Suppose 5 = -2*l + 57. Suppose -23 + 543 = l*q. Calculate the remainder when 256 is divided by q.
16
Let u(h) = 2*h**2 + 39*h - 4. Suppose -18*a = -8*a + 200. Suppose g = -4*l + 123, -5*g + 14 = 2*l - 43. Calculate the remainder when l is divided by u(a).
15
Suppose v - 7 = -10. Let o(k) = 3*k + 17. What is the remainder when 29 is divided by o(v)?
5
Let d = -106 - -1413. What is the remainder when d is divided by 187?
185
Suppose 35 = -0*b - 10*b + 175. Calculate the remainder when 76 is divided by b.
6
Let w(i) = -41*i + 832. What is the remainder when w(14) is divided by 44?
38
Let j(l) = 1. Let d(n) = 4*n + 6. Let x(i) = -d(i) - 3*j(i). Calculate the remainder when 244 is divided by x(-7).
16
Let l be -8 + -9451 - (0 + -4). Let i = 135 - 149. What is the remainder when l/(-61)*(i/(-10) - 1) is divided by 33?
29
Let q = -875 - -877. Suppose 3*f + 10 = 31. Calculate the remainder when f is divided by q.
1
What is the remainder when (11/((-231)/(-6412)))/((-4)/(-3)) is divided by 59?
52
Let t(u) be the first derivative of u**3/3 - u**2 - 4*u + 1. Let w(x) = x**3 + x**2 + 25*x - 98. Calculate the remainder when w(5) is divided by t(-4).
17
Let d be (-1)/(((-15)/2000)/((-3)/2)). Let l = d + 231. What is the remainder when 464 is divided by l?
30
Let u(x) = -301*x - 96. Let n be u(-6). Suppose n = 39*o - 1956. Calculate the remainder when o is divided by 7.
3
Suppose -176*m + 26962 + 17918 = 0. What is the remainder when m is divided by 22?
13
Suppose -21*w = -26*w + 5*c + 2605, 0 = -2*w + 3*c + 1046. What is the remainder when w is divided by 33?
22
Suppose -5 = -i - 2. Suppose -i*z + 0*z + 6 = 0. What is the remainder when 30 is divided by z/4*4*(-24)/(-3)?
14
Suppose 26*h - 10*h = -6*h. Suppose h = -32*p + 625 - 81. Suppose 0 = k - 5*r - 24, -7*r - 122 = -3*k - 2*r. What is the remainder when k is divided by p?
15
Let l = -330 + 334. Suppose -3*i - 184 = -5*y, -i + 102 = l*y - y. Suppose 3*q - 48 = -q. What is the remainder when y is divided by q?
11
Let f = -1691 - -1754. Calculate the remainder when 131 is divided by f.
5
Let v be 20/(-15) + 101/(-3). Let i = v - -72. Let a(d) = -146*d - 1. What is the remainder when a(-1) is divided by i?
34
Let v(l) = l**3 + 4*l**2 - 4*l - 3. Let t be v(-6). Let i = -12 - t. Calculate the remainder when i is divided by -1*9/(-1) + 5.
11
Let k(p) = -p**3 - 30*p**2 + 61*p - 721. Calculate the remainder when k(-33) is divided by 159.
56
Let d(r) = -161*r + 997. What is the remainder when 865 is divided by d(6)?
28
Let o(r) be the third derivative of r**6/120 - 11*r**5/60 + r**4/24 + 3*r**3/2 + r**2 + 18*r. Calculate the remainder when 118 is divided by o(11).
18
Suppose -3*p = -3*m + 6*m - 3, -2*m + 1 = p. Suppose -p + 9 = -k + 4*r, -r + 36 = 4*k. Suppose -10*g = -k*g - 10. What is the remainder when 32 is divided by g?
2
Let u = -23996 - -24528. What is the remainder when u is divided by 243?
46
Let h(d) = -d**3 + 2*d + 3. Let w(b) = -19*b + 4. Let l(g) = -g. Let q(c) = -2*l(c) + w(c). Calculate the remainder when h(-4) is divided by q(-1).
17
Suppose -26*w - 356 + 1084 = 0. Suppose -w*b + 774 + 2474 = 0. Calculate the remainder when b is divided by 30.
26
Suppose 0 = 5*q + 3*l - 37 - 10, -2*q - 2*l = -22. Suppose q = n - 1. Let x = -96 + 174. What is the remainder when x is divided by n?
6
Let q(m) = 65*m - 1442. Calculate the remainder when q(41) is divided by 12.
11
Suppose 5*c - 3 = 4*c. Suppose 4*b + 110 = c*n + 662, -3*n + 435 = 3*b. What is the remainder when b is divided by 13?
11
Suppose -63*l - 60*l + 2220 = -119*l. What is the remainder when l is divided by 9?
6
Suppose -94 = -12*m + 2. Let f be (-2)/((-20)/m - -3) - -39. What is the remainder when 1270/f + 0 - (-4)/(-14) is divided by 8?
4
Suppose -3*l + 79 = 5*h, 3*h + 177 = 29*l - 24*l. Suppose 0 = -4*j + 7*j - 3, 3*n - 5*j - 385 = 0. Calculate the remainder when n is divided by l.
31
Let c be ((-799)/85 + 11)/(-3 + 85/25). Let w = 30 - 14. Suppose 3*k = -r + 17, -4*r + c*k + 20 = -w. Calculate the remainder when 32 is divided by r.
10
Let z = 133 + -94. Calculate the remainder when z is divided by 12.
3
Suppose 0 = -4*m - b + 2187 + 1246, 2*m - 1692 = -4*b. Calculate the remainder when m is divided by 284.
8
Let u(n) = -13*n + 206. Let d be u(17). Calculate the remainder when (d/(-10))/(8/224) is divided by 13.
3
Let w be (-18)/27 - 131*20/(-6). Let t = w - 420. What is the remainder when t is divided by 5?
1
Let d(x) = -2*x**3 + 18*x + 37. Let r be d(-2). Let z = -4 + 3. Calculate the remainder when 65 is divided by r*(-1 + z + 3).
14
Let k = -544 + 548. Suppose -s = -26 + k. Suppose 2*d = -3*d + 545. Calculate the remainder when d is divided by s.
21
Let p(o) = 10*o**2 - 4*o + 4. Let m be p(1). Suppose 8*y = m + 134. What is the remainder when 57 is divided by y?
3
Let x be (-824)/12*((-60)/(-8))/1. Let k = x + 529. What is the remainder when 109 is divided by k?
11
Suppose -3*g - 51 = -3*f, 52*g = -f + 49*g - 3. Calculate the remainder when 1357 is divided by f.
1
What is the remainder when -4 - (3*(-40 - 1) - (28 + (-513)/19)) is divided by 1 - 2*45/(-2)?
28
Let m(c) = -c**2 + 67*c + 44. Let h = -221 + 237. What is the remainder when m(16) is divided by h?
12
Suppose -12*n = -6*n - 60. Suppose 3*s + n*s = 949. Let t = s + -54. What is the rem