se -9*i + 54042 + 14523 = 26*i. What is the remainder when i is divided by 22?
1
Let t(u) = -22*u - 11. Let h be t(-3). Suppose l - h = 4*j, -l - 10*j = -5*j - 91. Calculate the remainder when l is divided by 37.
34
Let q = 170 + -172. Let l(o) = -52*o**3. Let f be l(1). What is the remainder when 25 is divided by q/((-44)/f - 1)?
12
Let u(b) = b**3 - 3*b**2 + 2*b + 60. Let w = -445 + 445. Let n(x) = -9*x - 5. What is the remainder when u(w) is divided by n(-4)?
29
Suppose 12 = -3*a + 141. What is the remainder when a is divided by (6/(-18))/(3/(-45))?
3
Suppose 3*g - 3*y + 0*y - 84 = 0, 0 = 4*g - 2*y - 106. Suppose 0 = -8*u + 16*u + 21*u - 2146. What is the remainder when u is divided by g?
24
Suppose 0 = 50*k - 37*k + 845. Calculate the remainder when 43 is divided by ((-22)/5)/(26/k).
10
Suppose 1138 + 313 = 13*w - 5. What is the remainder when w is divided by 57?
55
Let v be (-20)/(-15)*4/32*18. Suppose 0 = v*z - 7*z + 288. Calculate the remainder when z is divided by 25.
22
Let k(h) = -10*h**2 - 139*h - 48. Calculate the remainder when k(-13) is divided by 61.
8
Let v(g) = g**3 - 3*g**2 + 2*g + 2. Calculate the remainder when (5 + -3)*4*(-1)/(-4) + 6 is divided by v(3).
0
Calculate the remainder when 334 is divided by (1 + (-215)/15)*(-1 - 35/4).
74
Let t = 65 - 24. Suppose -43*v = -t*v - 116. What is the remainder when 73 is divided by (-14)/(-28) - v/(-4)?
13
Suppose 0 = 5*o + 25, y + 21*o - 1053 = 26*o. Calculate the remainder when y is divided by 339.
11
Suppose 7*z = -165 + 291. Let c = 91 - z. What is the remainder when 144 is divided by c?
71
Suppose -g - 2*s + 155 = -246, -g = -4*s - 359. What is the remainder when g is divided by 27?
9
Suppose -573*q + 590*q - 578 = 0. Suppose -l = -111 + 20. Calculate the remainder when l is divided by q.
23
Suppose 144 = 2*n + 2*n. Suppose 0 = 5*i + 4*x + 656, i + 129 = 28*x - 31*x. What is the remainder when 69 - (i/(-108) + (-4)/18) is divided by n?
32
Let w(j) = 15*j**2 - 31*j + 529. Calculate the remainder when w(13) is divided by 36.
33
Let l(c) = c**2 + 10*c + 4. Let y be l(-6). Let z be y + 4 - (4 - 1). What is the remainder when 38 is divided by 18/27 + z/(-3)?
3
What is the remainder when 545 is divided by 6266/20 - ((-1691)/(-570) + 80/(-30))?
232
Let s be 3 - (0 + (-9)/3 + 3). Let m(j) = 26*j**2 - 2*j + 4. Let h be m(s). What is the remainder when (h/(-6))/((-2)/3) is divided by 20?
18
Let t(u) = -u**3 + 38*u**2 + 47*u - 56. Let d be t(39). Suppose 0 = -11*p + 7*p + d. Calculate the remainder when 190 is divided by p.
62
Suppose -12*j + 83*j - 31050 = -136*j. Calculate the remainder when j is divided by 7.
3
Suppose 4*k + 4*z - 23428 = 0, 29271 = -73*k + 78*k + 3*z. Calculate the remainder when k is divided by 14.
12
Suppose 3*a + 18 = -681. Let y = -57 - a. Calculate the remainder when 53 is divided by y/(-80)*(-5 + 0).
9
Calculate the remainder when 499 is divided by 179/5 + (612/60 - 10).
31
Suppose -14*o - 125757 - 4193 = -37*o. Calculate the remainder when o is divided by 565.
0
Suppose 302 + 43 = -23*g. What is the remainder when (1 - (-1)/(6/g))*-56 is divided by 13?
6
Suppose -120*x + 43*x + 61056 = 82*x. What is the remainder when x is divided by 369?
15
Let y = 201 - 140. Suppose -b = 4*k - 120, -4*b - 5*k - 102 = -560. What is the remainder when b is divided by y?
51
Let a = 11880 + -11842. Let h(m) = -5*m**3 - 2*m**2. Let v be h(-2). Let w = 106 - v. Calculate the remainder when w is divided by a.
36
Let n(i) = -11*i + 6. Suppose -19 = -4*r - 3*x, -r + x = -3*r + 7. Let m be n(r). What is the remainder when 660/8*(-3 - m) is divided by 56?
53
Suppose -101*o = -48*o - 53. Let x(l) = -7*l**3 + 24*l**3 + l**3 + 1 + 2*l**2 - 2*l. Calculate the remainder when 55 is divided by x(o).
17
Let o = -24 + 52. Suppose -n = 3*v - 99, -5*n - o - 104 = -4*v. Let a(d) = 2*d**2 + 15*d + 22. What is the remainder when a(-12) is divided by v?
31
Let x = 9867 - 9716. What is the remainder when 744 is divided by x?
140
Suppose -3*w = 6*w - 27. Suppose 95 = w*t - 43. What is the remainder when t is divided by 8?
6
Let k = -9 - -2. Let h = k + 15. What is the remainder when 47 - 36/(-63)*-14 is divided by h?
7
Let o(k) = -2*k**2 + 28*k + 554. What is the remainder when 47 is divided by o(25)?
3
Let o(n) = 12*n - 31. Let q be o(4). Suppose 2*y = -r + 11, 2*y - r - 4*r = q. What is the remainder when 11 is divided by y?
5
Suppose 4*f - 92 = -4*h, 11*h + 3*f - 123 = 6*h. Suppose 3*d = d - 4. What is the remainder when h is divided by d + 71/5 - (-6)/(-30)?
3
Suppose -2*j - 306 = -2*k, 5*k + 3*j - 1097 + 308 = 0. Calculate the remainder when k is divided by 88.
68
Suppose 2*a - 6*a + 13 = -3*w, 0 = -3*w - a + 7. Suppose -3*z = 130 - 88. Let p = z + 16. What is the remainder when p is divided by w?
0
Let o(x) = -5*x + x**3 + 7*x**2 + 26*x**2 - 3*x**2 - 59. What is the remainder when o(-30) is divided by 17?
6
Let l(o) = -14*o - 105. Suppose 56*j = 64*j + 64. Let t(g) = g**2 + 4*g + 6. Calculate the remainder when t(-6) is divided by l(j).
4
Let m(x) = x - 9. Let r be m(-11). Let h be 268/4 + 6/2. Let c = h + r. Calculate the remainder when c is divided by 13.
11
Let k(y) = -y**2 - 7*y + 65. Let r be k(-13). What is the remainder when 124 is divided by (-275)/r - 64/416?
19
Let a be 8/(8/(-1))*-8. Suppose 7*v = a*v + 5*i - 26, 2*i + 157 = 5*v. What is the remainder when 73 is divided by v?
11
Let l(w) be the first derivative of w**4/2 - w**3 - 3*w**2 + 10*w - 43. What is the remainder when l(4) is divided by (-567)/(-33) + (-2)/11?
15
Suppose 4*x + 1058*r - 1053*r = 6704, -r - 8322 = -5*x. What is the remainder when 5004 is divided by x?
6
Let o(j) = -24*j + 1. Suppose 5*r - 10 = 5*u, -11*u = r - 9*u - 5. Suppose -m = 2*f + r*f - 223, 2*m = -4. Calculate the remainder when f is divided by o(-1).
20
Let x = 101 - -697. Calculate the remainder when x is divided by 47.
46
Let g = -117 + 68. Suppose -3*r = -p + 10, 13*p = 10*p + 5*r + 38. Let v = p - g. Calculate the remainder when v is divided by 34.
31
Let f(z) = 2*z**3 + 2*z**2 + 15*z - 14. Let t be f(14). Calculate the remainder when ((-3)/6)/((-14)/t) is divided by 10.
7
Suppose 5*q - 5*b = 135 + 150, 248 = 4*q + b. What is the remainder when 549 is divided by q?
0
Let i be ((-4)/((-72)/6))/((-1)/123). Calculate the remainder when -9 + 4 - (i + 11) is divided by 11.
3
Let o(t) = 6*t**2 + 183*t + 31. Calculate the remainder when 614 is divided by o(-31).
118
Let q(t) = -t + 2. Let i(p) = -2*p - 48. Let j(a) = -i(a) - 2*q(a). Let c(m) = -m + 6. Calculate the remainder when j(-10) is divided by c(5).
0
Suppose 3*c - 4 = 2*l, -2*l + 4 = -l. Suppose -b = c*q - 72, -3*b + 2*b - 4 = 0. Calculate the remainder when (-6 - 16)/(4*4/(-40)) is divided by q.
17
Let r = -302 - -209. Let o = 102 + r. Calculate the remainder when (-1070)/15*o/(-6) is divided by 12.
11
Let j(v) = 8*v**2 + 2*v - 1. What is the remainder when (-1)/(-30) - (9177/(-90) - -22) is divided by j(-2)?
26
Let x = 12786 + -12724. What is the remainder when x is divided by 50?
12
Suppose -138*i - 30 = -148*i. What is the remainder when 26 is divided by i?
2
Let k = 9432 - 9270. What is the remainder when k is divided by 120?
42
Let i = -1907 + 1102. Let a be (4/10)/(7/i). Let y = a - -61. Calculate the remainder when 55 is divided by y.
10
Let a = 39539 - 39464. Let t(n) = n**3 - 2*n**2 + 2*n - 4. Calculate the remainder when a is divided by t(3).
9
Calculate the remainder when 172 is divided by (36/(-21))/(3/(168/(-16))).
4
Suppose 131 = 3*r - 2749. Suppose -5*b - b + r = 0. Calculate the remainder when b is divided by (-16)/104 + (-903)/(-39).
22
Let d(v) = 4*v**2 + 8*v - 1. Let l(z) = -5*z**2 - 8*z + 1. Let x(h) = -4*d(h) - 3*l(h). What is the remainder when 1764/(-4410)*290/(-4) is divided by x(-5)?
13
Let d = -6506 + 6576. What is the remainder when 277 is divided by d?
67
Let q(j) = -12*j + 57. Let b be q(8). Suppose -8 + 2 = -2*h, -2*f - 4*h = -356. Let p = b + f. What is the remainder when p is divided by 34?
31
Suppose v - 12 = 93. Let d(g) = 9*g**3 + g**2 - g + 1. What is the remainder when v is divided by d(1)?
5
Suppose -10060*y = -10025*y - 70. What is the remainder when 3221 is divided by y?
1
Let f(q) = q**3 - 9*q**2 - 18*q + 313. What is the remainder when 8154 is divided by