, 5*d = 54*x - 57*x + j. Calculate the remainder when d is divided by 27.
3
Let l(s) = s**2 - 18*s + 59. Let b(y) = -2*y. Let a be b(-1). Suppose -33 + a = -o. What is the remainder when l(21) is divided by o?
29
Suppose 3*u - 405 = -2*a + 482, -1481 = -5*u - 4*a. Suppose 11 = -11*q + 12*q. What is the remainder when (-5)/(-15) + u/3 is divided by q?
10
Let l(k) = -9*k - 2. Let w = 580 - 242. Suppose 0*q - w = -2*q. What is the remainder when q is divided by l(-4)?
33
Suppose 76 = 4*k - 0*k. Let d = 11 - 7. Suppose -d*s = c - 2*c - 145, 0 = -c - 1. Calculate the remainder when s is divided by k.
17
Let a = 5628 + -5007. Calculate the remainder when a is divided by 293.
35
Let d = 42 - 23. Let y = -177 + 264. Calculate the remainder when y is divided by d.
11
Let u = -6099 - -7337. What is the remainder when u is divided by 155?
153
Let r(m) = 5*m - 13. Let u be r(4). Suppose 0 = -5*g + u + 13. Suppose 3*j + 1 = 2*a - 1, 0 = -2*a + g*j. Calculate the remainder when 11 is divided by a.
3
Suppose -x = l - 9, -3*x + x = 4*l - 36. Suppose -390 = -6*b - 186. What is the remainder when b is divided by l?
7
What is the remainder when ((-16688)/447)/(4/(-60)) is divided by 48?
32
Let a = 319 + -239. Suppose 3*v + 15*i - a = 10*i, -v - 2*i = -27. Calculate the remainder when 139 is divided by v.
14
Suppose -84 = -7*x - 63. Suppose -8 = -2*d - 2*i + 10, 27 = x*d - i. What is the remainder when 75 is divided by d?
3
Calculate the remainder when 285/6*(-48)/(-15) is divided by ((-251)/24 - (120/(-64))/15)*-3.
28
Let h(l) = -14*l - 3. Let a = -4 + 2. What is the remainder when 19*((-390)/(-104))/((-6)/(-8)) is divided by h(a)?
20
Suppose -95*g + 2507 = -58. What is the remainder when 283 is divided by g?
13
Let q = -10790 - -10990. What is the remainder when q is divided by 29?
26
Let z(s) = -151*s + 473. What is the remainder when 5779 is divided by z(3)?
19
Let u(o) = o**2 + o - 9. Let f(i) = -i**3 + 4*i**2 + i + 6. Let z = -128 - -124. What is the remainder when f(z) is divided by u(-7)?
31
Let x = -2 - -4. Calculate the remainder when 61/4 + x/(-8) is divided by ((-3)/(-9))/((-1372)/21609*3/(-4)).
1
Let w(u) = 35*u + 221. Let k be w(-5). Suppose -1015 = k*t - 4097. Calculate the remainder when 131 is divided by t.
64
Suppose 5758 + 444 = 7*c. Suppose 160 = -881*l + c*l. Calculate the remainder when 637 is divided by l.
29
Let k = -57 - -47. Let w = 32 - 24. Calculate the remainder when w is divided by (24/k)/(1 - 7/5).
2
Suppose 7*h - 8*h = -39. Let f = 54 - h. Let x(k) = k**3 - 2*k**2 + 2*k + 4. Calculate the remainder when x(4) is divided by f.
14
Suppose 3*s - 14*d - 27759 = 0, -5*s - 5*d = -40260 - 5920. What is the remainder when s is divided by 15?
14
What is the remainder when 104 is divided by 920/(-140)*(-1 - 6)?
12
Suppose 50*a - 28538 = -7288. What is the remainder when a is divided by 61?
59
Suppose 0 = -5*o + k + 1732, -2*o + 620 = -k - 74. Calculate the remainder when o is divided by 47.
17
Suppose k - 4*x = 58, -3*x + 159 = -8*k + 11*k. What is the remainder when 311 is divided by k?
41
Let v(n) = -n**3 + 23*n**2 - 35*n + 190. Calculate the remainder when v(18) is divided by 17.
7
Suppose -2148 = 9*w - 19*w + 3472. What is the remainder when w is divided by 276?
10
Let c(z) = -2*z**2 - 39*z - 79. Calculate the remainder when 326 is divided by c(-15).
46
Let l(j) = -21*j + 4. Let b be l(2). Let x = b + 35. What is the remainder when 29 is divided by (-1 + (-3 - x))*-9?
2
Let g(n) = -2*n**2 - 5*n. Let w(c) = -c - 1. Let x(s) = -2*g(s) + 2*w(s). Calculate the remainder when x(-5) is divided by 10.
8
Suppose 4*n - 89 - 7 = -4*b, -4*n = -5*b - 141. Calculate the remainder when 2317 is divided by n.
26
Suppose 3*t + 273 = 4*k, -2*k - 3*t + 8*t + 119 = 0. Let c = k + -52. Let u(b) = b**2 + 9*b + 21. What is the remainder when c is divided by u(-8)?
7
Suppose 21*u - 18*u - 2779 = 2*b, 4*b = 16. What is the remainder when u is divided by 115?
9
Suppose 42 = j + 5*m, 2*m + 109 = 3*j - 0*m. Suppose -176 = -j*g + 29*g. Calculate the remainder when 80 is divided by g.
14
Suppose 12*h - 74 = 70. Suppose -h*d + 16*d = 124. What is the remainder when d is divided by 16?
15
Suppose -448 + 378 = -5*p. Calculate the remainder when ((-5)/((-45)/132))/(18/270) is divided by p.
10
Let v(h) = 2*h**2 + h - 2. Let c(i) = -2*i**3 - 6*i**2 - 9*i - 44. What is the remainder when c(-5) is divided by v(5)?
48
Let s = -48 + 53. Let b(y) = -y - 54*y**2 - 2 + 75*y**2 + s. What is the remainder when b(3) is divided by 24?
21
Suppose 0 = -4*z + 12 + 20. Let q(g) be the second derivative of g**4/12 - 3*g**3/2 + 10*g**2 + 213*g. Calculate the remainder when 22 is divided by q(z).
10
Suppose -c + 273 = 4*x, -11*c + 2342 = -3*x - 661. Calculate the remainder when 592 is divided by c.
46
Let w = -15160 - -15185. Calculate the remainder when 299 is divided by w.
24
Let d(a) = a**2 - 26*a - 903. What is the remainder when (0 - -164) + -1 + 0 is divided by d(-20)?
10
Suppose -35*w = -214*w + 125121. Calculate the remainder when w is divided by 70.
69
Suppose -89 = -2*g - 5*b, 5*g + 2*b = -3*b + 185. Let x(i) = -3*i**3 + 3*i. Suppose 6 = -13*v + 10*v. What is the remainder when g is divided by x(v)?
14
Suppose -54*d = -20*d - 4930. Calculate the remainder when d is divided by 29.
0
What is the remainder when (16 + -14)/(3 + 1683/(-843) - 1) is divided by 27?
22
Suppose -19 = -4*x + 25. Suppose x*b - b = 820. Calculate the remainder when b is divided by 7.
5
Let n be (-133)/(-266)*0/(1*2). Suppose n = 13*r - 848 - 2662. Calculate the remainder when r is divided by 11.
6
Let g(l) = -l + 1. Let i be g(-12). Suppose 6 = -i*u + 19*u. What is the remainder when 1 - (-140 - 0/(u*-4)) is divided by 48?
45
Let m be (-2 - -2) + -7 + 10. Suppose y + 4*c = -y - 22, -m*y = 4*c + 25. What is the remainder when 50 is divided by (y - -2)*1 + 18?
16
Let u(m) = m**3 + 14*m**2 - 3*m + 33. Let c(t) = -420*t - 18. Calculate the remainder when c(-2) is divided by u(-14).
72
Calculate the remainder when 222 is divided by (1*120/(-25) - -8)*35.
110
Suppose -4*c - 2*t + 4*t + 76 = 0, -t = 3*c - 57. Suppose -6*s - 7 = -c. Suppose 94 - s = 4*l. What is the remainder when 227 is divided by l?
20
Suppose 5*o = -3*w + 23, 3*o + 16*w - 18*w - 29 = 0. Suppose -2*x + 170 = -3*a - 7, -4*x + a + 349 = 0. Calculate the remainder when x is divided by o.
3
Let i(q) = -7*q - 160. Let p be i(28). Let g = p - -396. What is the remainder when g is divided by 16?
8
Let g(c) = -5*c - 18. Suppose -3*a + 5*h = 46, -8*h = -a - 7*h - 12. Calculate the remainder when g(a) is divided by 10.
7
What is the remainder when (-4)/(-14) + (-2602)/(-7) + -3 + 0 is divided by 53?
51
Suppose -14929 - 7645 = -362*s + 3128. What is the remainder when 2767 is divided by s?
69
Let u(s) = 4*s**3 + 2*s**2 - s - 2. Let x be u(-1). Calculate the remainder when (1 - x) + -2 - (-30 - -13) is divided by 11.
8
Suppose 28 = -39*v + 32*v. Calculate the remainder when v*((-7542)/504 + (-4)/14) is divided by 13.
9
Let v(x) = x**2 - 3*x - 7. Let z(c) = c**3 + 45*c**2 + 27*c + 3476. Calculate the remainder when z(-46) is divided by v(6).
8
Suppose 223*c - 3235 = 3586 + 761. Calculate the remainder when 3589 is divided by c.
19
Let f(h) = 2*h**3 - 4*h**2 + 466*h - 2374. Suppose 0 = 2*v - 3*d + 2*d - 71, 3*v = -d + 109. What is the remainder when f(5) is divided by v?
34
Let u be -2 + (-6)/(-21) + (-160)/(-28). Suppose -3*r + 14 = -u. Suppose -38 = -r*s + 484. Calculate the remainder when s is divided by 11.
10
Let c be (3/(-5))/(2/(-1190)). Suppose -2*f - 15*f = -c. Calculate the remainder when 143 is divided by f.
17
Suppose -t + 4*t - 225 = 0. Suppose 62*d - t = 59*d. Calculate the remainder when 103 is divided by 52*(1/(-3) + d/30).
25
Suppose 0 = -4*c - 2*a + 266, 3*c - 198 = 129*a - 130*a. Calculate the remainder when 778 is divided by c.
63
Suppose 50*j = 98*j - 62*j + 9086. What is the remainder when j is divided by 26?
25
Let d(u) = 5*u**2 - 5176 + 7*u - 28*u + 5096. Suppose -31 + 14 = -g. Calculate the remainder when d(-5) is divided by g.
14
Let u = -124 + 94. Let s be 44/10 + ((-48)/u)/(-4). Suppose 4*d = s*r + 27 - 103, 4*r - 111 = -3*d. Calculate the remainder when 52 is divided by r.
4
Let f(y) = y**3 - 6*y**2 - 8*y + 3. Let v be f(7). What