5) is divided by r?
8
What is the remainder when (-9)/6 + -3*14575/(-66) is divided by 60?
1
Suppose 9*h - 4*h + 2*a = 869, 2*a - 696 = -4*h. What is the remainder when h is divided by 30?
23
Let q(d) = -d**2 + 6*d + 6. Let z be q(6). Suppose -2*b - 52 = -z*b. Let t(a) = -2*a**3 + 6*a**2 + 27*a + 13. What is the remainder when t(5) is divided by b?
9
Suppose 567*a - 2*m = 568*a - 299, 915 = 3*a - 3*m. What is the remainder when a is divided by 19?
18
Suppose -3*a = l - 7, -3*a + 2 = -1. Suppose 2*d = -l*t + 76, 11*t + 95 = 16*t - 3*d. Calculate the remainder when 56 is divided by t.
18
Let b be -7*((-530)/(-5))/(-2). Let p = b - 298. What is the remainder when 208 is divided by p?
62
Let o(z) = -z**3 + 4*z**2 + 17*z - 7. Let n be o(6). Suppose 19*c - n*c + 88 = -3*d, 0 = c - 3*d - 22. Calculate the remainder when 59 is divided by c.
15
Suppose -1607 = -3*q - 2*h + 5634, 4*q - 9666 = 3*h. What is the remainder when q is divided by 151?
150
Let p(c) = 40*c**2 - 598*c + 3. Calculate the remainder when 48 is divided by p(15).
15
Let a(w) = 3*w**2 - 21*w + 4. Let n be a(7). Suppose 552 = -0*t + n*t. Suppose -3*h = -t - 3. Calculate the remainder when h is divided by 8.
7
Let m = 19 - 2. Let y = 26 - m. Let s = -39 + 74. Calculate the remainder when s is divided by y.
8
Let c(k) = 4*k**2 + 2*k - 1. Let r be (1/((-10)/(-328)))/((-1)/5). What is the remainder when 16/(-72) - r/9 is divided by c(1)?
3
Suppose o + 0*o = -33. Calculate the remainder when -126*(84/24)/(-7) is divided by (o/4)/(6/(-16)).
19
Suppose 3*l + 21 = 0, 15*p + l - 1353 = 11*p. What is the remainder when 739 is divided by p?
59
Let p(t) = 14*t**2 + 269*t - 270. What is the remainder when 15755 is divided by p(1)?
12
Let g(h) = -47*h - 2 + 5 - 2 + 51*h. Let v be g(1). Suppose -4*t = 2*p - 64, 4*p + v*t + 73 = 6*p. Calculate the remainder when 134 is divided by p.
32
Suppose 2*k + 5*w + 0*w - 190 = 0, 0 = -5*k + 3*w + 413. Suppose 0 = -12*v + 24. What is the remainder when k is divided by v*2 + (-735)/(-105)?
8
Let o(d) = 23*d**2 - 7*d + 273 - 553 + 272. What is the remainder when 86 is divided by o(-1)?
20
Suppose 76*c = 72*c + 144. Suppose 14*u = c*u - 418. What is the remainder when 244 is divided by u?
16
Let n(a) = 2*a + 10. Let h be n(-5). Suppose -5*y - y + 24 = h. What is the remainder when 72 is divided by ((-15)/y)/(-1)*4?
12
Let s(v) = -337*v**3 + v**2 + 10*v + 9. What is the remainder when s(-1) is divided by 90?
67
Suppose g + 4 = -3*f - 3*g, 2*f - g - 1 = 0. Suppose 4 = 5*c + 3*v - 29, f = -c - v + 7. Calculate the remainder when (30*-1)/((-6)/9) is divided by c.
3
Suppose 0 = 3*c - 7*c + 1164. Calculate the remainder when c is divided by (4 - 0 - 2)/(34/357).
18
Let b = -3 + 7. Suppose -2*t - 382 = -4*l, -l + 5*t + 397 = 3*l. Let i = -78 + l. What is the remainder when i is divided by b?
3
Let i be (-6 - -2)/2 - 112. Suppose -138*j - 87*j + 376 = 19051. Let c = j - i. What is the remainder when 121 is divided by c?
28
Let d(f) = -42*f + 884. What is the remainder when 5621 is divided by d(14)?
293
Let m = 1417 + -1415. What is the remainder when 15 is divided by m?
1
Suppose -74 - 16 = -3*j. Suppose 2*g - 3*b = 618, 0*g + 5*b - 602 = -2*g. Calculate the remainder when j is divided by ((-5)/(-30))/(3/g).
13
Suppose -7*o = -3*o - 3*s - 60, -38 = -3*o + 4*s. Suppose -o = r - u, 4*u + 10 + 38 = -2*r. Let t = r - -50. Calculate the remainder when t is divided by 16.
14
Let f(o) = 31*o**2 - 52*o - 148. Calculate the remainder when 364 is divided by f(-3).
77
Calculate the remainder when 19 - (-11 + -233 - 4) is divided by 53.
2
Suppose 1064 = 7*q + q. Let x = q - 118. Suppose x = -2*d + 31. What is the remainder when 62 is divided by d?
6
What is the remainder when 380 is divided by ((-361)/(-114))/((-1)/(-6))?
0
What is the remainder when 299 is divided by (-1)/((3 + 690/(-228))/(2/1))?
71
Let i(g) = -g**3 - 20*g**2 + 99*g + 54. Let j be i(-24). Let b(m) = m**3 + 19*m**2 + 17*m + 34. What is the remainder when b(j) is divided by 50?
2
Suppose -782576 = -190*n + 711394. What is the remainder when n is divided by 138?
135
Suppose -s + 3 = 0, 4*u + 2*s - 492 = 58. Suppose 5*j = 4*x - 187, -2*j - 56 = -2*x + 40. Calculate the remainder when u is divided by x.
30
Let u = 44 + -20. Calculate the remainder when ((-39)/(-9))/(2/u) is divided by (8/(-20) - 53/5)*(-14)/14.
8
Let a(x) = -18*x + 3. Let f be a(-1). Suppose f*g + 1888 = 37*g. Calculate the remainder when g is divided by 5.
3
Let m(n) = -n**3 - 28*n**2 + 203*n - 25. Let b = -172 + 341. What is the remainder when b is divided by m(-34)?
7
Let f(g) = 3*g**2 + 2*g + 4. Calculate the remainder when f(5) is divided by 30/4*(20081/9340 - 1/(-4)).
17
Suppose 3*n = 9*n - 18. Suppose -n*v + 5 = -7. Let j(m) = 14*m**2 - m + 1. Calculate the remainder when j(1) is divided by v.
2
Suppose -387*p = -394*p - 294. Calculate the remainder when 80 is divided by (-88)/(-12)*p/(-14).
14
Let n(k) = -191*k - 907. What is the remainder when 479 is divided by n(-5)?
47
Suppose 27 = 3*q - 112 - 29. What is the remainder when 203 is divided by q?
35
Let u(v) = -v**2 - 17*v - 5. Suppose 2*x + c = -0*x - 23, -x - 16 = -c. Let d = -23 + 47. Calculate the remainder when u(x) is divided by d.
23
Let q(z) = 2*z - 10 - 13*z**2 + 11*z**2 + 5*z**2. Let o be q(-5). Suppose -o = -4*l + 21. Calculate the remainder when 51 is divided by l.
13
Suppose 27*r - 7014 = 13*r. Let m = 620 - r. Calculate the remainder when m is divided by 15.
14
What is the remainder when 6188/(-442) - (0 - 861) is divided by 204?
31
Suppose -58*d - 125390 = -155890 - 237866. What is the remainder when d is divided by 331?
324
Let q = -348 + 508. Suppose n - 40 = 5*h, -3*n - 7*h + 2*h = -q. Let p = 80 + n. Calculate the remainder when p is divided by 44.
42
Suppose -x + 285 = 2*x. Suppose 5*t - 5*m - 647 - 1873 = 0, -4*t + m = -2013. Suppose 335 - t = -12*q. Calculate the remainder when x is divided by q.
11
Suppose -11*y - 6 = 5. Let r = y - -3. Suppose -23 + r = -v. What is the remainder when 39 is divided by v?
18
Suppose -376 = -4*y + 2*l, 0 = -5*y + 20*l + 241 + 194. Let f(q) = 32*q. What is the remainder when y is divided by f(1)?
31
Suppose 10988 = -5*w + 9*w - 4*x, 3*w + 5*x - 8233 = 0. What is the remainder when w is divided by 55?
51
Let l = -447 - -740. What is the remainder when 624 is divided by l?
38
Let c(y) = 146*y - 6390. What is the remainder when 5538 is divided by c(44)?
30
Let g(c) = c**3 - 2*c**2 - 8*c - 2. Let v be g(4). Let p(t) = t**2 - 4*t - 6. Calculate the remainder when p(8) is divided by ((-16)/4)/(v/3).
2
Let i(d) = 2*d - 14. Let p be i(11). Calculate the remainder when 3/(-4) + 86/p is divided by 3*4/4 + 2.
0
Let q(j) = -6*j + 52. Let v be 2*(-1 + (-4)/(-2)). Suppose -w = -2*d - 5 - 11, 5*d = -w + v. Calculate the remainder when q(-1) is divided by w.
10
Suppose -4405 = -4*d + 2*i + 845, 4*d = -5*i + 5271. What is the remainder when 2641 is divided by d?
13
Suppose 3*t = -3*u - 2*u + 1058, -2*u - 4*t + 426 = 0. Calculate the remainder when u is divided by (-7 - (0 + -3)) + (65 - 7).
49
Let y(r) = -14*r**2 - 103*r + 25. What is the remainder when y(-6) is divided by 81?
58
Suppose -3480 - 2496 = -30*q + 624. What is the remainder when 876 is divided by q?
216
Calculate the remainder when 7803 is divided by 2 + (-871)/(-26) + -1*3/6.
33
Suppose v + 20 = 4*y, 3*v + 43 - 18 = 5*y. Suppose -31 - 43 = -y*q - 2*h, 3*h + 64 = 5*q. What is the remainder when 31 is divided by q?
3
Calculate the remainder when 5*1/4 - ((-3405)/12 + 24) is divided by 130.
1
Let y(m) = -3*m**2 + 167*m - 1078. Suppose -2*i + a = -1353, 3*i + 4*a - 1596 = 417. What is the remainder when i is divided by y(48)?
25
Let m = -257 - -263. Calculate the remainder when 12/8 + 177/m + -3 is divided by 8.
4
Suppose -f = 3*i - 32, 3*f = 3*i - 5*i + 96. Let m(y) = y**3 - 11*y**2 - 135*y + 1511. What is the remainder when m(13) is divided by f?
30
Suppose 0 = 5*x + g - 2579, -372*x + 376*x + 3*g = 2061. Calculate the remainder when x is divided by 74.
72
Let s = 46221 - 45874. Let w = 5 + 7. Calculate the remainder when s is divided by w.
11
Suppose 14 - 20 = 2*m. Calculate the remainder when 214 is divided by ((-7)/m + 1)*(-36)/(-10).
10
Let u be 6372/(-135) + 8/(-10). Calculate the remaind