16 - 5. Suppose -57 = -4*l + 3*t, 5*t = -184*l + 185*l - 44. What is the remainder when l is divided by v/6*(-8)/(-6)?
1
Calculate the remainder when 55 is divided by (-1 + -1)*((-54)/4 - (-61 + 65)).
20
Let i(q) = 105*q + 25. Let b be i(6). Suppose -893 - b = -12*m. Suppose 0 = -m*y + 126*y + 33. Calculate the remainder when 84 is divided by y.
7
Let x(t) = 13*t**2 + 2*t + 1. Let b(c) = -4*c - 23. Let w = -18 - -4. Calculate the remainder when b(w) is divided by x(-1).
9
Suppose -220 = 7*f - 11*f + 4*w, 3*f = -3*w + 153. Let h = 1 + 10. What is the remainder when f is divided by h?
9
Suppose -345 = -0*a - 5*a. Suppose 0 = 1693*l - 1661*l - 768. What is the remainder when a is divided by l?
21
Let f(h) = h**3 - 4*h**2 - h - 2. Let k be f(4). Suppose -36*b + 4*b + 8*b = -744. What is the remainder when -1 + 3/(k/(-122)) is divided by b?
29
Suppose -61*q - 89 = -3*b - 62*q, 5*b - 2*q - 163 = 0. Calculate the remainder when 461 is divided by b.
27
Let p be (11 + -12)/((-1)/246). Suppose -p = -5*c + 4*i, 3*c - 4*i - 216 + 70 = 0. What is the remainder when c is divided by 14?
8
Suppose 3*x + q + 79 - 551 = 0, 0 = -9*x - 5*q + 1412. Calculate the remainder when x is divided by 72.
14
Let h(d) = d**3 - 8*d**2 - 30*d + 159. Calculate the remainder when 359 is divided by h(11).
167
Suppose -83*u + 85*u = 52. Suppose -3*l + q + u = 0, 5*l - 46 = -0*l + q. Calculate the remainder when (14/(-6))/((-10)/120) is divided by l.
8
Suppose v = -4*w + 2884, 6*w + v - 2795 - 1529 = 0. Calculate the remainder when w is divided by 48.
0
Let v(k) = 13*k + 2. Let h(u) = -127*u - 3. Let i be h(1). Let z = i + 184. Calculate the remainder when z is divided by v(1).
9
Let c = -19963 + 19972. Calculate the remainder when 46 is divided by c.
1
Let p = 44 + -15. Suppose -m = -4*x + 22, -2*x + 0*x = -2*m - 8. Suppose 0 = -x*t + 36 + 12. Calculate the remainder when p is divided by t.
5
Let a = -63 - -112. What is the remainder when a is divided by 98072/10824 + 2/(-33)?
4
Let c be 10/4*28/(-35). Let j = c + 24. What is the remainder when 62 is divided by j?
18
Let u = 2645 + -1967. What is the remainder when u is divided by 81?
30
Suppose 97*p = 100*p - 12. Suppose 5*n = -u + 894, -2*u + 12 = p. Calculate the remainder when n is divided by 37.
30
Suppose -11666 + 3441 = -47*a. Calculate the remainder when 194 is divided by a.
19
Let a = -6415 + 6609. Let p(r) = -21*r**3 + r**2 + r + 1. What is the remainder when a is divided by p(-1)?
18
Let s be ((-4)/16)/(1/4). Let d be (-3*5)/5 - s. What is the remainder when (53/d)/(11/(-22)) is divided by 28?
25
Suppose -67*l = -55*l - 1800. Suppose 2*s + 4*n + 346 = 5*s, 5*n + 233 = 2*s. What is the remainder when s is divided by 20/l - 866/(-30)?
27
Let q = -19883 + 20000. What is the remainder when 1395 is divided by q?
108
Let x(r) = 54*r**2 - 13*r - 18. Let d be x(-2). Let q = d + -197. What is the remainder when q is divided by 19?
8
Suppose 8815 = 7*m + 5*j, -133*m = -128*m + 5*j - 6305. What is the remainder when m is divided by 55?
45
Let i(k) = k**2 - 7 + k**2 + 5 - k**2 - 4*k. Let m be i(-1). Let f(a) = 7*a**2 - 6*a - 4. What is the remainder when f(m) is divided by 14?
13
Suppose -k = 5*k - 48. Let b be k + (5 - 0) - (1 - 1). Suppose -31 + 278 = b*u. What is the remainder when 54 is divided by u?
16
Let k(o) = 10*o**3 + 39*o**2 + 6*o + 8. Calculate the remainder when 588 is divided by k(-3).
20
Let b = -14 + 16. Suppose 5*d = u + 10*d, d = -u. Suppose u - 12 = -b*r. Calculate the remainder when 29 is divided by r.
5
Let z be (64/(-12) - -5)*(17 + 1). Calculate the remainder when 79 is divided by (2 - (-70)/30) + (-4)/z.
4
Suppose -3*f - 4*q = -12, -f + 6*f + 3 = q. Suppose 5*u = f, 0*k = 2*k - 5*u - 100. Calculate the remainder when 164 is divided by k.
14
Let s = -3 - -7. Suppose s*m = -8, 4*k - m - 76 = 3*m. Calculate the remainder when 1/(9/6 + 4776/(-3216)) is divided by k.
16
Suppose -7*o - 94 + 423 = 0. Let l = o - -25. Calculate the remainder when l is divided by 15.
12
What is the remainder when -3*2/(-2)*17 is divided by 10/(-2) + (-42)/(-12)*(600/70 - 6)?
3
Calculate the remainder when (-1 - (-21)/((-63)/(-942))) + 1 + -8 is divided by 85.
51
Let o = -18886 - -18954. Calculate the remainder when o is divided by 51.
17
Let j be 2/6*(0 - -15). Suppose 0 = -j*c + 128 - 53. Suppose 930 = 10*p + 890. Calculate the remainder when c is divided by p.
3
Suppose 3*u = 0, o = -4*u + 1 + 1. Let a be (5/o + -1)/(6/492). Let z = a + -39. What is the remainder when z is divided by 29?
26
Let r = -476 + 481. Suppose 4*a - 323 = -3*k, -a - a + 181 = -r*k. What is the remainder when 1576 is divided by a?
82
Suppose 176*s = 171*s + 2*d + 5346, -d = 4*s - 4295. What is the remainder when s is divided by 108?
100
Let a be (1 - 1)/(2 - -1). Suppose 3*b - 281 = -2*r, b + a*b = 3*r - 394. What is the remainder when r is divided by 23?
18
Let b = 23 + -9. Let q(r) = 4*r**2 - 5*r**2 + 7 + r**2 + r**2 - 4*r. What is the remainder when q(8) is divided by b?
11
Let i = 9107 + -8933. What is the remainder when 857 is divided by i?
161
Suppose -5*s - 190 = -x, -4*x - 6*s + 3*s = -921. What is the remainder when x is divided by 108?
9
Let j(z) = -6*z**3 + 2*z**2 - 13*z - 58. Let f be j(-4). Suppose 17*h = f + 1103. Calculate the remainder when h is divided by 7.
5
Suppose -2 - 14 = -8*b. Suppose b*c = -22 + 116. Calculate the remainder when c is divided by 12.
11
Let b(g) = -g**2 - 18*g - 12. Let k be b(-17). Suppose 3*q = -k*t + 29, -q + 15 = 5*t - 2*t. Calculate the remainder when 5 is divided by t.
1
Suppose -2*p = -18*p + 4640. Calculate the remainder when (24476/p)/(2/10) is divided by 17.
14
Suppose 0*s = 5*s - 65. Suppose -11*n + 17*n = -19*n + 3025. Suppose 4*w + s = n. What is the remainder when w is divided by 6?
3
What is the remainder when 2172 is divided by ((-3)/((-45)/726))/((-240)/(-600))?
115
Let y = -87 + 236. Suppose -5*v + y = 144. Calculate the remainder when (9/1)/(-1 - -2) is divided by v.
0
Suppose 3*j - 18 = 4*t + 247, -t + 3*j = 73. Let s = -25 + -17. Let b = s - t. Calculate the remainder when b is divided by 6.
4
Let n(o) = 2*o**2 - 135*o - 1906. Calculate the remainder when 674 is divided by n(-12).
0
Let i(m) = -m**3 - m**2 + m - 1. Let c be 1/((-4)/12) - -3. Let p be i(c). Calculate the remainder when (-2 - p)*(-324)/6 is divided by 19.
16
Suppose -12*q - 1235 = -25*q. Suppose 10 - 48 = -4*o - 2*v, 2*v + 10 = 0. What is the remainder when q is divided by o?
11
Let w(q) = 5*q**3 + 2*q**2 - q + 1. Suppose -26*j + 382 = -788. Suppose j = -36*p + 657. Calculate the remainder when w(2) is divided by p.
13
Let c(v) = -32*v**2 - 13*v + 6. Let w be c(2). Let l = w + 180. What is the remainder when l is divided by 16?
0
Suppose -17*x = -15*x - 100. Let n = x + -44. Suppose 2 + 40 = n*u. Calculate the remainder when 11 is divided by u.
4
Let j = -268 - -286. Let b = -14 + 18. What is the remainder when j is divided by (-2)/(-2*b/16)?
2
Suppose -1285*l = -1279*l - 25890. Calculate the remainder when l is divided by 34.
31
Suppose -21 = -2*k - 5. Suppose k*d + 69 = 9*d. Let q = -64 + d. Calculate the remainder when 19 is divided by q.
4
Suppose 10*s - 1000 = 6*s. Let u = -217 + s. What is the remainder when 130 is divided by u?
31
Let l(d) = -d**3 - d**2 - 7*d - 21. Suppose 2*z - 16 = -3*t - 3*z, 0 = -4*t - z - 7. What is the remainder when 286 is divided by l(t)?
16
Let s(u) = 3*u**2 + 14*u + 12. Let d = 20 - 17. Suppose d*l + 7 = -2*v, 3*v + 8 = -l - 3*l. Calculate the remainder when 47 is divided by s(l).
13
Let t(o) = 10*o**2 + 81*o + 125. Calculate the remainder when 3836 is divided by t(-7).
44
Suppose 62*q = 151*q - 674 - 1818. Let k = 2 + 0. Suppose 47 = 3*w + 2*f, f + 16 = w + k*f. Calculate the remainder when q is divided by w.
13
Let c = 1697 + -1315. Calculate the remainder when c is divided by 64.
62
Let s(w) = w**3 + 16*w**2 - 53*w + 20. Let p be s(-19). Let l = 82 + p. What is the remainder when l is divided by 7?
5
Suppose -54*x + 703 = -35*x. Suppose 2*b + 3*r = -0*r + 57, 4*r = -3*b + 84. Let d = x + b. Calculate the remainder when d is divided by 16.
13
Let u(k) = -10*k - 79. Let y(v) = -10*v**3 + v**2 + v - 1. Let g be y(1). Let t = -6 - -12. What is the remainder when u(g) is divided by t?
5
Let q(z)