= 5*m, -m = 6*r - y*r - 18. What is the remainder when 29 is divided by m?
13
Let v be ((-232)/(-6))/(10 - (-644)/(-63)). Calculate the remainder when ((-25)/10)/(3/(-6)) - v is divided by 13.
10
What is the remainder when 263 is divided by 268270/2123 + 4/(-11)?
11
Let q = -159 + 703. Calculate the remainder when q is divided by (-2)/(-7) + (-356)/(-28).
11
Suppose -57 = -y + 4*m, 3*y + 4*m = 6*m + 191. Suppose 4*r + 4199 = 17*r. What is the remainder when r is divided by y?
63
Let s(h) = -11*h**3 - 3*h**2 + 9*h + 18. Let z be s(-3). Suppose -251*a + z*a = 800. Calculate the remainder when a is divided by 27.
26
Suppose 56*d + 259 = 2723. What is the remainder when d is divided by 25?
19
Calculate the remainder when 735 is divided by -170*(-2 - (-12)/20) - 0.
21
Suppose 70 = 2*h - 4*m, -5*m + m + 8 = 0. Let c = 101 - h. Calculate the remainder when 430 is divided by c.
58
Let w(h) = -6*h**3 - 22*h**2 - 21*h - 71. What is the remainder when 1259 is divided by w(-4)?
44
Suppose 101*p + 2288 = 109*p. Let b = -8 - -17. Calculate the remainder when p is divided by b.
7
Suppose 0 = -3*u + 3*w - 4*w + 87, -3*w = u - 45. Calculate the remainder when 6854 is divided by u.
23
Suppose 0 = -74*c + 1968 + 4914. Calculate the remainder when 482 is divided by c.
17
Let p(g) = g**3 - g**2 - 14*g + 17. What is the remainder when p(6) is divided by 9?
5
Let j(u) be the first derivative of 14*u**3/3 - 7*u**2/2 + 7*u - 43. What is the remainder when 40 is divided by j(1)?
12
Suppose -3*r - 8*q + 10*q + 68 = 0, 3*r = -3*q + 63. Let o be (-1 - 1) + 129 + 16. Let c = -35 + o. Calculate the remainder when c is divided by r.
20
Let m = 2123 - 1590. Calculate the remainder when m is divided by 48.
5
Suppose 3*x - 6 = 0, 2*p + 2*p - 300 = 4*x. Suppose 0 = 4*s - 5*a - 93, -129*s - 46 = -132*s - a. What is the remainder when p is divided by s?
9
Suppose 4*g - 6*g = 170. What is the remainder when 264 is divided by (3 - g/(-20))/(11/(-44))?
4
Suppose a + x + 294 - 402 = 0, 3*x + 383 = 4*a. Calculate the remainder when 810 is divided by a.
2
Let c(f) = -1014*f - 6. Let k be c(-1). Suppose -k = -5*h - 393. Suppose 100 = 5*l + w, 2*w = 5*l - 10*l + 95. Calculate the remainder when h is divided by l.
18
Let o(n) = 2*n - 12. Let l be o(-6). Let d(q) = 2*q + 79. Calculate the remainder when d(l) is divided by 7.
3
Suppose -6*j - 56 = 4. Let z(r) = r**3 + 10*r**2 + 9*r - 1. Let l be z(j). Let y = -88 - l. Calculate the remainder when 61 is divided by y.
1
Let m(u) = 5*u**2 + 65*u - 180. Calculate the remainder when 233 is divided by m(3).
53
Let r(m) = -329*m**2 + 2363*m + 14. Suppose -2*l + 4*x + 138 = 0, 0 = 6*l - l + x - 367. What is the remainder when r(7) is divided by l?
69
Let p(h) = h**3 - 7*h**2 - 42*h + 7. Let j be p(12). Let t = -200 + j. Let g(z) = z**2 + 2*z - 2. Calculate the remainder when t is divided by g(3).
10
Let y(h) be the second derivative of h**4/2 + 2*h**3 + 3*h**2/2 + 6*h - 4. What is the remainder when 18/8*(0 + 4) is divided by y(-2)?
0
Calculate the remainder when 478 is divided by 74/(-518) - (4 + (-282)/14).
14
Let b(l) = 361*l**2 + 38*l - 39. Calculate the remainder when b(1) is divided by 11.
8
Let c(g) = 20*g - 175. Let j be c(15). What is the remainder when 142 is divided by ((-18)/15)/(-6)*j?
17
Let x = -13 - -35. Suppose -3*o - 2 = -p, 0*o = -3*p + 2*o - x. Let g(j) = j**2 + 9*j - 3. What is the remainder when g(p) is divided by 2?
1
Let v(g) = 102*g**2 + 11*g - 9. What is the remainder when v(3) is divided by 88?
62
Suppose 1778 = -252*j + 254*j. Calculate the remainder when j is divided by 102.
73
Suppose -4 = 4*z - 4*j, 5*z - 2 + 10 = 2*j. Calculate the remainder when ((-24)/(-20))/(z/(-295)) is divided by 23.
16
Suppose 5*x = 42*f - 47*f + 1410, -5*x = -5*f - 1380. Calculate the remainder when x is divided by 6.
3
Let t be (-6 + 1)*6/(-5). Suppose 0 = -13*k + 148 + 996. Suppose -5*g = 25, t*l - 3*l = 2*g + k. What is the remainder when 44 is divided by l?
18
Let n be 0 + -1 + (-10 - 8). Let r(u) = -u**3 - 20*u**2 - 18*u + 25. What is the remainder when 82 is divided by r(n)?
4
Let s be ((-39)/(-6) + -5)/6*1676. Let o = s + -337. Calculate the remainder when o is divided by 7.
5
Let u(z) = -26*z - 1978. Let y = 30 + 63. What is the remainder when y is divided by u(-77)?
21
Let r = 33 - 15. Let n = 39516 + -39503. Calculate the remainder when r is divided by n.
5
Suppose 0 = -14*k - 52*k + 83556. Calculate the remainder when k is divided by 9.
6
Suppose 666790 = 332*r - 12*r + 189*r. Calculate the remainder when r is divided by 59.
12
Suppose -3*c = -0 - 9. Suppose -c*w + 85 = 5*d, -d - w - w = -17. Let u = 144 - 62. What is the remainder when u is divided by d?
14
Suppose 0 = 2*z - 4*b - 2032, z - 4*b - 996 = -6*b. Let u(h) = 59*h**2 - 4842*h + 346. Calculate the remainder when z is divided by u(82).
16
Suppose 0 = 5*a + 4*s - 3328, 494 = a + s - 173. Calculate the remainder when 3308 is divided by a.
8
Suppose -106*g + 107*g - 9 = 0. Suppose -9 = w - 2*j, 0*w - 2*j = 4*w - 4. Let c(x) = -21*x + 1. Calculate the remainder when c(w) is divided by g.
4
Let o(h) = -h**3 + 8*h**2 + 5*h - 3. Let y be 24/(-9)*(-6)/2. Calculate the remainder when ((-12988)/(-170) + -14)*(-5)/(-2) - 10 is divided by o(y).
35
Let m(p) = 65486 - 65583 - 68*p - 3*p. What is the remainder when m(-3) is divided by 27?
8
Suppose -33*v = -10*v + 5*q - 3309, -2*v + 302 = 4*q. What is the remainder when 744 is divided by v?
29
Let v be (-30)/(-8) + (-15)/20. Suppose 2*d - 95 = -v*d. Suppose -d - 21 = -4*w. What is the remainder when 38 is divided by w?
8
Suppose -3*x + 36 = 11*y - 10*y, 0 = 4*y - 4*x - 80. Calculate the remainder when 810 is divided by y.
18
Suppose k - 6 = 2*n - 52, n = -5*k - 208. What is the remainder when (-150)/(-14) - 2/(-7) is divided by 1/(6/k) - -15?
3
Let q(b) = -527*b + 2990. What is the remainder when q(5) is divided by 36?
31
Calculate the remainder when 2 + -6 - (0 - (-12766)/((-104)/8)) is divided by 12.
6
Let c(j) = -52*j + 15. Let n be c(2). Let h = n + 112. Calculate the remainder when h is divided by (-2)/5 - (-456)/40.
1
Let w(p) = -p**2 + 3*p + 91. Calculate the remainder when 664 is divided by w(-6).
35
Suppose 0 = 4*v - 2*k + 3 - 19, 5*k + 24 = 2*v. Calculate the remainder when ((-12)/2 - -6) + 9 + v is divided by 8.
3
Let x = -186 + 319. Calculate the remainder when x is divided by (-6)/(((-2)/30)/((-22)/((-3080)/42))).
25
Let w(r) = -17 + 6*r + 0 + 21*r - 2*r. Calculate the remainder when 11 is divided by w(1).
3
Suppose -16 = o + 3*o + 2*r, 3*o - 4*r = -23. Calculate the remainder when 60 is divided by (-2)/o + (-286)/(-10).
2
Let l(o) = -108*o**2 - 24*o - 21. Let a be l(-7). What is the remainder when 112 is divided by a/(-273) + -3*2/(-39)?
17
Calculate the remainder when 14445/36 - (-13)/(-52) is divided by 110.
71
Let a = -23 - -58. Suppose a*g + 42 = 38*g. Calculate the remainder when g is divided by 11.
3
Suppose -6*p + 60 = 3*j, -3*j + 3091 = -4*p + 3141. Calculate the remainder when 1/1 + (-4 - -219) is divided by p.
7
Let v(t) = 2*t**2 + 7*t + 5. Let i be v(-3). Suppose -i*r = -4*l - 94, 0*r = 2*r - l - 106. Let o(g) = -7*g. Calculate the remainder when r is divided by o(-2).
13
Suppose -634 = 18*b - 3678 - 3328. Calculate the remainder when b is divided by 41.
26
Let r be (-4 - (-4 - 0)) + 4. Suppose -2*f - x = 3*f - 214, -x = -r*f + 164. Let o = f - 32. Calculate the remainder when 47 is divided by o.
7
Let d(n) = 12*n + 2. Let r be d(0). Suppose 0 = b + r*w - 158, -4*b = -5*w - 132 - 448. What is the remainder when b is divided by 8?
6
Let a(n) = -374*n + 1884. Calculate the remainder when 5672 is divided by a(0).
20
Let o = 3042 + -2934. Calculate the remainder when 428 is divided by o.
104
Calculate the remainder when 9597 is divided by 32*(132/220 - 14/(-10)).
61
Suppose 17*j = 73 + 4993. What is the remainder when 523 is divided by j?
225
Let o = 23 - -37. Suppose -o = -5*z + a, -z - 3 = 2*a - 4. Calculate the remainder when 30 is divided by z.
8
Let g(l) = -3*l + 65. Suppose -26*j = -22*j - 16. Calculate the remainder when g(j) is divided by 9.
8
Let u = 75 + -79. Let g(n) = -2*n**3 - 2*n**2 + 13*n + 8. What is the remainder when g(u) is divided by 21?
10
Let d(z) = 2*z**3 - 20*z**2 + 45*z + 20. Calculate the