hen z is divided by 24.
21
Suppose 50*f - 53*f - 33 = 0. Let i be (0 - -4) + (-11 - f). Suppose n - 2*l - 6 = 0, -n + 0*n - i*l = -30. What is the remainder when 123 is divided by n?
11
Let b(n) = 11*n + 438. Let j be b(-36). Suppose 4*i = 86 - j. What is the remainder when 44 is divided by i?
0
Let z = -144 + 142. What is the remainder when 62 is divided by 325/30 - z/12?
7
Suppose 2*v + 4*q - 1912 = 0, -5*v + 9*v - 4*q = 3860. Suppose -14*b + v = -b. Calculate the remainder when b is divided by 1*18 - (-3 - -2).
17
Suppose m = -3*i + 3736, 5*m = 7*i - 2*i + 18720. Calculate the remainder when m is divided by 36.
34
Let m = 33 + -5. Let x = m - 30. Let i = x + 55. What is the remainder when i is divided by 11?
9
Suppose -3*s + i = -21, 13*s - 5*i + 7 = 14*s. Suppose -s*t = -18*t + 308. What is the remainder when t is divided by 11?
6
Let j(r) = 5*r**2 + 11*r + 64. Let i be j(-4). Suppose 3*v - i = -7*v. Calculate the remainder when v is divided by 3.
1
Suppose k - 4*i - 54 = -6*i, 0 = 4*k - i - 261. Let r(a) = -a - 5. Let j be r(-5). Suppose 4*s - 2*s - 36 = j. Calculate the remainder when k is divided by s.
10
Suppose -173865 = -362*o - 157*o. Let c = 73 - 52. What is the remainder when o is divided by c?
20
Let j = 8176 - 8154. What is the remainder when 630 is divided by j?
14
Let j(l) = 21*l + 66. Suppose -6*m = -5*m - 54. Calculate the remainder when j(7) is divided by m.
51
Suppose -324*f + 331*f = 952. What is the remainder when 294 is divided by f?
22
Calculate the remainder when 6514 is divided by -9 + (-1 - (13 + -8)) + 51/1.
34
Let n = -104 + 137. Suppose -38*t + n*t = -225. What is the remainder when t is divided by 11?
1
Let p(c) = -37 - c**2 + 3*c**2 + 6 + 16*c. Calculate the remainder when 35 is divided by p(-10).
8
Let o be ((-56)/10)/(1/(-10)). Suppose -o = -h - 0*h. Suppose 36*s - 16*s - 300 = 0. Calculate the remainder when h is divided by s.
11
Let t = 6407 + -6402. What is the remainder when 1362 is divided by t?
2
Let l(r) = -11*r**3 + 185*r**2 + 105*r - 33. What is the remainder when l(17) is divided by 348?
130
Suppose 3*v - 19*i = -24*i + 102, 5*i = 30. Calculate the remainder when 907 is divided by v.
19
Suppose 5*y - 5*j = -0*j + 5, 0 = -y - 2*j + 16. Calculate the remainder when (53/2 + -2)*(0 + y) is divided by 15.
12
Let y be 2/((-36)/(-21) - 2). Let f(l) = l**2 + 4*l - 10. Calculate the remainder when 31 is divided by f(y).
9
Let l(g) = -2*g**2 + 28*g - 79. Calculate the remainder when 243 is divided by l(8).
5
Suppose 0*x + 2*l = -x + 162, -l + 312 = 2*x. Suppose 4*t - t = 4*i + 97, 3*t - 2*i - 107 = 0. What is the remainder when x is divided by t?
37
Suppose o + 241*b - 236*b = 1425, 0 = -5*o + 5*b + 7335. Calculate the remainder when o is divided by 214.
176
Let i(c) = 2*c**2 - 21*c + 6. Let n be i(14). Suppose -4 = 5*w + 6, 3*m + 5*w = n. What is the remainder when m is divided by 2?
0
Let f = -246984 - -247007. What is the remainder when (155 - 0) + -1*1 is divided by f?
16
Let f = -192 + 342. Let l = f + -98. Suppose 142 - l = 10*j. What is the remainder when 44 is divided by j?
8
Let w be -2*(-13)/4 - (-6)/12. Let z(r) = r**3 - 6*r**2 - 8*r + 8. Let n be z(w). Calculate the remainder when 26 + (n + 2 - 3) is divided by 6.
2
Let f = -2147 + 2201. What is the remainder when f is divided by 19?
16
Let c(b) = 74*b**2 + 150*b + 10. What is the remainder when 1143 is divided by c(-3)?
13
Let r = 2 + 2. Suppose -z + 3*m + 1 = 4*m, 2*z - 2 = 5*m. Calculate the remainder when 16*(-2)/r*-1 is divided by z.
0
Let w = -59732 - -59911. Suppose 5*h = -5*y + 130, -y = -3*h + y + 98. What is the remainder when w is divided by h?
29
Let j(i) = -i + 2. Let f(s) = s**3 - 40*s**2 + 74*s + 89. Calculate the remainder when f(38) is divided by j(-5).
6
Suppose 2*g + 5*d = g + 168, -2*d = g - 168. What is the remainder when 277 is divided by (3/6)/(-3 - (-510)/g)?
11
Suppose 0 = -4*d - 12, -3*z + 4*d = -d - 21. What is the remainder when 928/1044 + (-200)/(-180) is divided by z?
0
Suppose 5*s + n - 326 = 30, 0 = 5*n + 20. Calculate the remainder when 421 is divided by s.
61
Suppose 0 = -4*u + 16, -3*u - 8 = -5*r - 0. Suppose r*f = 5*f - 13. Calculate the remainder when (-6*(-84)/8)/1 is divided by f.
11
Let z(p) = p**3 + 6*p**2 - 8*p + 2. Suppose -2726*n = -2682*n - 6380. Calculate the remainder when n is divided by z(-6).
45
What is the remainder when (18/(-33) + (-529416)/(-297))/((-3)/(-4)) is divided by 159?
150
Let t = 85 - -109. What is the remainder when t is divided by 55*((-6)/10 + 0 - (-6)/6)?
18
Let h = -11 + 14. Suppose -5*o + 135 = -h*l, 5*l = 2*l. What is the remainder when 51 is divided by o?
24
Let q = -220 + 234. Suppose 5*r - 2*b = 48, 0 = 14*r - 15*r - 4*b + q. What is the remainder when 47 is divided by r?
7
Let m = 258 - 51. Let h = 236 - m. What is the remainder when 75 is divided by h?
17
Let v(u) = 50*u**2 + 361*u - 6680. What is the remainder when v(17) is divided by 214?
211
Suppose 8 = -4*a + 404. Calculate the remainder when 2171 is divided by a.
92
Let k = -17487 + 18029. Calculate the remainder when k is divided by 519.
23
Suppose 21 = 3*p + 3. Suppose -p*i = -i + m - 2243, -4*i = -2*m - 1786. What is the remainder when i is divided by 50?
48
Suppose -8*z - 33 + 1193 = 0. Let s = z - 139. Let u(i) = -2*i**3 + 11*i**2 + 4*i + 15. Calculate the remainder when 3 is divided by u(s).
0
Suppose 56 = 4*v - 4*y, y + 72 - 118 = -5*v. Suppose 0 = 2*o + 4*c - 8, 7*o - 2*o = -3*c + 27. Calculate the remainder when v is divided by o.
4
Let s(r) = 59*r + 4118. What is the remainder when s(-55) is divided by 188?
121
Let w(y) = 2*y**2 - 9*y - 17. Calculate the remainder when w(28) is divided by 13.
12
What is the remainder when 1151 is divided by (-64)/(-96)*(-1620)/(-3)?
71
Let c = 70 - 68. Let t be (-176)/(-10) + c/5. Calculate the remainder when (-46)/207 - (-2830)/t is divided by 41.
34
Suppose -o = 5*f - 117, 34*f - 267 = -3*o + 33*f. What is the remainder when 239 is divided by o?
65
Let c(q) = -q + 21. Let s(j) = -3*j + 24. Let o be s(5). Suppose 2*w - o = r, -4*w - 2*r = 3*r - 53. What is the remainder when c(w) is divided by 5?
4
Let x(s) = -s**3 + 8*s**2 - 14*s + 265. What is the remainder when 210 is divided by x(9)?
36
Let d = 27733 - 27653. Let g = -42 - -72. What is the remainder when d is divided by g?
20
Let o(i) = i**2 + 6*i - 5. Suppose -359 = -5*t - 3*j, -3*t + 4*j = -0*t - 227. Suppose -16 = 3*m - t. Calculate the remainder when m is divided by o(-8).
8
Let y be 3/((-18)/94)*3. Let i = -45 - y. Calculate the remainder when 55 is divided by (-6)/((-18)/39) + i.
10
Suppose 58*d + 534 = 3*i + 56*d, -4*i + 4*d = -708. Suppose -198*p + i = -183*p. Calculate the remainder when 59 is divided by p.
11
Let a(o) = 14*o**3 - 21*o**2 + 98*o + 29. What is the remainder when a(5) is divided by 436?
0
Calculate the remainder when 113 is divided by ((-20)/6)/(4/3)*(-1886)/115.
31
Let s = -22 - -25. Suppose -a = -2*a + 3, -2*z + s*a + 105 = 0. Calculate the remainder when 398 is divided by z.
56
Suppose 23*d - 5174 = 1766 + 1961. Calculate the remainder when 1261 is divided by d.
100
Suppose -2*m - 8 = 34. Let c be ((-12)/m)/2 - (-156)/42. Suppose -2*j + 3*k = -c*j + 38, 3*j + 4*k - 56 = 0. What is the remainder when 59 is divided by j?
11
Suppose 5*d + 34 = 2*t, -2*t - 1108*d + 52 = -1104*d. Calculate the remainder when 76 is divided by t.
10
Let r = 7713 + -6493. Calculate the remainder when r is divided by 136.
132
Let y(g) = g**3 + 20*g**2 + 20*g + 37. Let j(h) = h**2 + 2*h - 3. Let t be j(-4). Suppose t*u - 377 = -117. Calculate the remainder when u is divided by y(-19).
16
Let a = -131 + 19. Calculate the remainder when 46*7*(-8)/a is divided by 11.
1
Let o(v) = 2 - 12*v**2 + 6*v**3 - 8*v**3 - 5*v + 5*v**2. What is the remainder when 150 is divided by o(-4)?
36
Let o be 13 + -8 + (1 - 1 - 3). Suppose o*a + 18 - 40 = 0. What is the remainder when 14 is divided by a?
3
What is the remainder when (4 + 3234/56)*(5 - (-3 + 0)) is divided by 137?
83
Suppose 1647 = 6*j - 4077. What is the remainder when j is divided by 97?
81
Let a(g) = g**3 + 8*g**2 - 9*g - 12. Let w be a(-9). Calculate the remainder when ((-2)/(-4))/((-2)/(-104)) is divided by (-10)/w + -1 + (-765)/(-54).
12
Let t be ((-6)/30)/(21/(-1470)