 2*w + 8 = 20. Suppose -f - 9*f + 230 = 0. Calculate the remainder when f is divided by w.
5
Suppose -16*b + 11*b + 708 = 4*x, x + 147 = b. Suppose -2*c + b = -12. Calculate the remainder when c is divided by 18.
6
Suppose -147 = -2*y + q, 4*y + 3*q = -0*q + 299. Suppose f - 282 - y = 0. What is the remainder when f is divided by 45?
41
Suppose 6*g - 1215 = -21*g. What is the remainder when (-1 - (-121)/5)*(-20)/(-4) is divided by g?
26
Let g = -1643 - -1969. What is the remainder when g is divided by 67?
58
Let q(b) = -11*b**2 + 18*b**2 - 3*b - 13 - 8 - 5*b**2. Calculate the remainder when 44 is divided by q(-4).
21
Suppose 0 = 5*h - 5. Let t be h + 3*4/12. Calculate the remainder when 20 is divided by (-4 + 3)*(t + -7 + 0).
0
Let o(z) = 3*z**2 - 99*z - 137. Let k = -3 + 28. What is the remainder when o(35) is divided by k?
23
Suppose 0 = 431*r - 425*r - 36. Let z = 16 + 19. What is the remainder when z is divided by r?
5
Let f(s) = 338*s + 6471. Calculate the remainder when 1318 is divided by f(-19).
44
Suppose 22*q - 120 = -4*o + 26*q, -o - 4*q = 15. What is the remainder when o is divided by (33/3)/(2 + -1)?
10
Suppose f - 3*f + 8 = 0. Suppose 0 = -f*u - 12, -1 = 2*i + 4*u - 5. Calculate the remainder when 19 - 9/(171/76) is divided by i.
7
Suppose 382 = 2*f + 4*v, 0 = -f - 5*v + 10*v + 156. Suppose -4*n + f = -83. Calculate the remainder when n is divided by 18.
12
Let o = -27 + 27. Calculate the remainder when (o - -28)/((-108)/(-81)) is divided by 20.
1
Let o = -26 - -34. What is the remainder when (-1)/5 + 933/15 is divided by o?
6
Let a = 6 - 16. Let k(u) = u**3 + 10*u**2 - u + 11. Calculate the remainder when (3/2)/((-37)/(-962)) is divided by k(a).
18
Suppose -30 = -2*t + 4*v, 4*t - 5*v = -0*v + 54. Calculate the remainder when 1568/t + 132/(-242) is divided by 11.
10
Suppose -2 = -19*a + 17*a. Calculate the remainder when 19 is divided by -1 + (-80)/(-9) - a/(-9).
3
Let w(c) = -516*c - 22. Suppose -4*o = -u + 8, -64*u = -2*o - 68*u + 14. Calculate the remainder when w(o) is divided by 45.
44
Let u(t) = -t + 15. Let g be u(4). Let j(f) = f**3 - 11*f**2 + 3*f - 12. What is the remainder when 40 is divided by j(g)?
19
Let m(l) = 6*l + 55 + 0*l + 8*l - 3*l. Let b be m(-13). Let r = -24 - b. What is the remainder when r is divided by 17?
13
Let w(m) = -m - 2. Let d = 13 + -7. Let z be -3 - 9*2/d. What is the remainder when 23 is divided by w(z)?
3
Let v(r) = r**2 - 8*r + 53. Let z(o) = -o**2 + 8*o - 53. Let d(j) = 4*v(j) + 3*z(j). Calculate the remainder when d(4) is divided by 14.
9
Let b(g) = -g**2 + 20*g - 59. Calculate the remainder when 198 is divided by b(15).
6
Let o = -1326 + 1331. Calculate the remainder when (-6)/8 + 150/8 is divided by o.
3
Let t(b) = -3*b**3 + 2*b**2 + 2*b - 4. Let j(v) = -33*v + 749. Calculate the remainder when t(-3) is divided by j(22).
20
Let x = -7355 - -7367. What is the remainder when 1002 is divided by x?
6
Let b = -697 - -2052. Calculate the remainder when b is divided by 69.
44
Let o = -9854 + 12157. Calculate the remainder when o is divided by 70.
63
Let g(t) = t + 18. Let k be g(-6). Suppose 0 = d + 2*d - k. Suppose i + 2*i + 3*j + 9 = 0, 2*j = -3*i - d. Calculate the remainder when 8 is divided by i.
0
Suppose -2*h - 424820 = 8*h - 54*h. What is the remainder when h is divided by 46?
41
Let q = 49 + 1. Suppose r - d = 41, r + 2*d - q + 12 = 0. Calculate the remainder when 113 is divided by r.
33
Suppose -7*b - 1579 - 1881 = -11*b. Calculate the remainder when b is divided by 31.
28
Suppose 2*w = 7*w - 1285. Suppose 5*h - 7*h = -16*t + 810, -h = -4*t + 201. What is the remainder when w is divided by t?
2
Let p(w) = 15*w**2 + 2*w - 21. Calculate the remainder when p(-11) is divided by 25.
22
Suppose 262*c - 19180 = 2*c - 14*c. What is the remainder when 457 is divided by c?
37
Let g = 31 - 19. Let z = g - -34. Suppose -3*i + 9 = -5*p, 4*i + 0*i - 3*p - 23 = 0. Calculate the remainder when z is divided by i.
6
Let j(c) = c**3 + 47*c**2 - 47*c + 56. Suppose 0 = -3*v - 3*u + 153, -3*v + 0*v - 2*u + 156 = 0. Calculate the remainder when v is divided by j(-48).
6
Let c(x) = x**2 - 3*x - 8. Let v = 6386 + -6373. What is the remainder when v is divided by c(6)?
3
Let l = 305 + -310. Let u = 21 + l. What is the remainder when 397 is divided by u?
13
Suppose -31*a - 962 = -16*a - 17*a. Calculate the remainder when a is divided by 93.
16
Let g = -7508 - -7588. What is the remainder when 123 is divided by g?
43
Let h(a) = 1309*a**2 + 715*a + 2149. Calculate the remainder when h(-3) is divided by 28.
25
Suppose 2*b - 1373 = 5*k, 10*k = 5*b + 5*k - 3410. Calculate the remainder when b is divided by 124.
59
Suppose 381 = 3*x + x - 5*v, -5*x + 466 = 4*v. Suppose 0 = x*y - 100*y + 12. What is the remainder when 13 is divided by y?
1
Suppose 0 = -t + 3*k + 47, -4*k - 187 = -5*t - k. Calculate the remainder when 4/24*-4*23/(368/(-4152)) is divided by t.
33
Suppose -14*n = -44 - 40. Calculate the remainder when 29 is divided by (2 - -40)/((-1)/((-3)/n)).
8
Let d(p) = 191*p - 1864. What is the remainder when d(83) is divided by 8?
5
Suppose -18 - 42 = -3*n. Suppose f = w - 8, 2*f + 0*f = -4*w + n. Calculate the remainder when 24 is divided by w.
0
Suppose 6 = k + 2. Suppose 2*l = -3*l + 3*g + 54, k*g = 2*l - 30. Let p(i) = i**2 - 5*i + 27. What is the remainder when p(l) is divided by 6?
3
Let k = 97 + -109. What is the remainder when ((-35)/25)/(2/(-20)) is divided by 12/(216/(-45))*k/10?
2
Let t = 87 + -429. Let w = -285 - t. What is the remainder when 113 is divided by w?
56
Suppose -102*v - 76*v + 127448 = 0. What is the remainder when v is divided by 52?
40
Suppose 3*m - 7*m - 120 = 0. Let j = 46 - m. What is the remainder when j is divided by 6?
4
Let y(t) = -t**3 - 7*t**2 + 18*t + 50. Let w be y(-6). What is the remainder when 245 is divided by (-1)/(-2) - 1175/w?
11
Let v = -14 + 28. Let x(w) = -w**2 - 13*w + 31. Let b(m) = 2*m**2 + 14*m - 31. Let l(n) = 2*b(n) + 3*x(n). Calculate the remainder when l(v) is divided by 20.
13
Suppose 3*g = 2*b - 0*b + 6, -3*g + 4*b + 12 = 0. Suppose g = 3*d - 17 - 46. Calculate the remainder when 187 is divided by d.
19
Suppose 0 = -4*k + 6*k - 22. Let n = -79 - -81. Suppose 0 = n*q + b - k, 0 = 4*b + b - 15. Calculate the remainder when q is divided by 2.
0
Suppose 0 = 3*o + 1 - 22. Suppose o*j - 39 = 4*j. Calculate the remainder when (-10710)/2856*(-80)/6 is divided by j.
11
Suppose -2*m = -a - 7, -6*a + 32 = 2*m - 38. Suppose 2*q + 0*k - 98 = -3*k, q = 5*k + 23. Calculate the remainder when q is divided by a.
7
Suppose 3*a = s - 346, -5*a + 195 = -2*s + 890. Calculate the remainder when s is divided by 354.
1
Suppose 21187 = 2*q + 41*q + 246. Calculate the remainder when q is divided by 27.
1
Let q = 690 + -686. Suppose i + 2*i - 79 = -4*k, 0 = -4*k + q*i + 72. What is the remainder when 105 is divided by k?
10
Let c be 24*(-3 - -4 - 6/12). Suppose c*w = 9*w + 69. What is the remainder when w is divided by 1590/135 + (-2)/(-9)?
11
Let y = -7783 + 8428. Calculate the remainder when y is divided by 32.
5
Let h = -92 - -104. Suppose -13*n = -11*n - h. What is the remainder when 39 is divided by n?
3
Let x = -189 + 233. Let v = 10 - -38. What is the remainder when v is divided by x?
4
Let o(m) = 10*m + 5. Let j(v) = v + 1. Let n(r) = -5*j(r) + o(r). Let f be n(2). Let c = f - 5. Calculate the remainder when 54 is divided by c.
4
Let l(x) = 2*x**3 - 11*x**2 - 40*x + 359. What is the remainder when l(7) is divided by 94?
38
Let i(d) = 5*d - 5. Let s be i(2). Suppose -s*l - 3 = -28, -4*m + 4*l = -52. Let w = m - 11. Calculate the remainder when 48 is divided by w.
6
Let h(c) = 19*c + 1914. Calculate the remainder when h(-94) is divided by 24.
8
Suppose 32*u = 162*u - 780 - 260. What is the remainder when 569 is divided by u?
1
Let q(g) = -96*g**2 - 16895*g + 262. Let a = 143 + -98. What is the remainder when q(-176) is divided by a?
41
Let v = 387 - 366. Suppose v*x = -3*x + 288. What is the remainder when x is divided by 4?
0
Suppose 4*k - 212 = -2*s, 24*k + 4*s = 21*k + 164. What is the remainder when 75 is divided by k?
23
Let h = 24270 + -18394. Calculate the remainder when h is divided by 40.
36
Let n = -58 - -237. Let i(y) = y**2 + 21*y - 55. Calculate the remainder whe