a) = a**3 - 8*a**2 - 7*a - 9. What is the remainder when s(n) is divided by 6?
3
Suppose 3*t + 1338 = 3*t + 3*t. What is the remainder when t is divided by 112?
110
Suppose 31079 + 6071 = 25*j + 25*j. Calculate the remainder when j is divided by 183.
11
Let i be (15/(-6) - -4)/((-1)/(-2)). Suppose 4*j - i*x - 2 = 0, 0 = 5*j - 4*x - x. Suppose -7*v = -12*v + 5. What is the remainder when j is divided by v?
0
Let h(f) = -87*f + 7. Suppose 0 = 2*w + l + 8, 2*w + 5*l = -2*w - 16. Let c be h(w). Suppose 0*i = 5*i - c. What is the remainder when i is divided by 8?
7
Let o = 31 - 31. Suppose -4*r + 428 - 28 = o. Let t = r + -13. What is the remainder when t is divided by 30?
27
Suppose -90*w + 10012 + 12488 = 0. What is the remainder when 17249 is divided by w?
249
Let f(w) = 9*w + 15. Let g be f(-1). Suppose 5*k - 716 = -10*n + g*n, -n = -4*k - 158. Calculate the remainder when n is divided by 59.
56
Let d = 10 + -8. Let b(h) = 29*h**2 - 17 + 35*h**d + h**3 - 68*h**2. What is the remainder when 46 is divided by b(5)?
6
Suppose -2*o - 5*k + 19 = 0, 0 = -3*o + 4*k - 753 + 908. Calculate the remainder when 1 + 1/(-1) + 106 is divided by o.
32
Let x be (1080/(-300))/((2/2)/(-105)). Let i = 422 - x. Calculate the remainder when 482 is divided by i.
42
Let f = 404 - 401. Suppose f*c = 5*b + 89, 6*c + 5*b - 107 = 2*c. What is the remainder when 51 is divided by c?
23
Suppose -562 = 6*l - 148. Let c = -34 - l. What is the remainder when c is divided by ((-114)/(-24))/((-1)/(1 + -5))?
16
Let t(v) = v**3 + 14*v**2 - 50*v + 21. Let u be t(-17). Suppose -f = -m - u*m + 85, 0 = f. Calculate the remainder when 67 is divided by m.
16
Suppose -2*j = -j - 39. Suppose 12*y - 7*y = -3*x + 781, 2*y - 5*x = 300. Calculate the remainder when y is divided by j.
38
Let a = -309 + 315. Let t(d) = d**3 - 6*d**2 + 4*d - 19. What is the remainder when 18 is divided by t(a)?
3
Let i(o) = 7*o + 1. Calculate the remainder when 736/24*27/6 is divided by i(9).
10
Let d = -334102 + 334330. Let l(v) = -3*v + 6. Calculate the remainder when d is divided by l(-5).
18
Let g = -505 + 509. Calculate the remainder when 154 is divided by (133/(-28) + g)*(-52 - 0).
37
Suppose -13*n + 15*n + 3*f = 337, -544 = -3*n + f. What is the remainder when 521 is divided by n?
163
Let u(p) = -25*p - 48. What is the remainder when u(-5) is divided by (-4 - 1) + -2 + (5 - -35)?
11
Let y be (9/1)/(45/(-2190)). Let j = y - -493. What is the remainder when j is divided by 14?
13
Suppose -7*h - 108 + 283 = 0. Suppose -84 - 4 = -2*j. What is the remainder when h is divided by 6/2 - j/8*-2?
11
Let s(a) = -162*a - 5 - 162*a - 2*a**2 + 20*a**2 + 325*a. Let g be s(-7). Suppose -3*z + g = 7*z. What is the remainder when z is divided by 22?
21
Suppose 17*i - 1996 = 1880. Let o = -222 + i. Suppose 0 = 2*k - 0*k - 16. What is the remainder when k is divided by o?
2
Let o = 2352 + -2223. Calculate the remainder when 355 is divided by o.
97
Suppose 5*g + 4*u - 3909 = 0, 72*u = -3*g + 71*u + 2351. Calculate the remainder when g is divided by 2.
1
Let x = -35 - -37. Suppose x*v = 6*v - 56. Let k(y) = -9*y + 29. Calculate the remainder when k(-7) is divided by v.
8
Let y(m) be the third derivative of m**4/24 + 5*m**2 + 3*m. What is the remainder when 12 is divided by y(8)?
4
Suppose 6*v = -109 + 133. Suppose -3*a - 2*n + 177 = 0, -v*a + 213 = -4*n - 43. Calculate the remainder when a is divided by 24.
13
Let g(y) = 3*y - 12. Suppose 5*b + 10 = 2*f - 122, 2*b = 2*f - 54. Calculate the remainder when (850/221 - 4/b) + 37 is divided by g(9).
11
Let t(r) = 2*r**3 - 2*r**2 - 6*r - 1. Suppose -191 = -9*g + 5*g + 5*z, 3*z + 203 = 5*g. What is the remainder when t(5) is divided by g?
33
Suppose 239 = 4*p + 11. Let m(g) = 2*g**3 - 5*g**2 + 6*g + 1. Let r be m(3). What is the remainder when p is divided by (56/26 - 2/13) + r?
27
Let h = -5012 - -5951. What is the remainder when h is divided by 132?
15
Let g = 28 + 234. Let b = g - 248. Calculate the remainder when 35 is divided by b.
7
Let v = -151 + 158. Suppose -12 = -a - v. Suppose 0 = 4*u, -5*u = -4*g - 2*u + 96. Calculate the remainder when g is divided by a.
4
Suppose -4*f - 21*w = -26*w + 97, 3*f + 71 = 2*w. What is the remainder when 38 is divided by f/(-8)*(15 + -7)?
15
Suppose 0 = -5*i + t - 242, 0 = 2*i - 3*t + 15 + 87. Let m = i + 51. Suppose m*d = -3*l + 4*l + 17, d - 4 = 2*l. What is the remainder when 28 is divided by d?
4
Suppose 4*x - 434 = c, -3*x + 2*x + 103 = -3*c. Suppose -9*y - 5 = -4*y. Calculate the remainder when x is divided by (0 + 3)*y + 31.
25
Suppose v + 8*x = 3*x + 39, -4*x - 16 = 0. Let j = -717 - -734. What is the remainder when v is divided by j - 8 - (6 - 12)?
14
Suppose -5*w = -3*z - 237, 26*z - 22*z = -4*w + 196. What is the remainder when 1342 is divided by w?
46
Let v = -40 - -166. What is the remainder when 835 is divided by ((-264)/(-21))/(36/v)?
43
Suppose 2*g + 3*g + 5*f = 100, -5*g + 106 = -f. Suppose -g*q = -33*q + 2268. Calculate the remainder when q is divided by 95.
94
Let w(l) = 398*l**2 - 283*l + 2. Calculate the remainder when w(3) is divided by 72.
71
Suppose 0 = 4*j + 4, -d - 3465 = 2*d - 3*j. Calculate the remainder when (d/5)/(22/(-55)) - -5 is divided by 12.
7
Suppose -80 = 5*z + 3*t, -2*z - 3*z - 4*t - 85 = 0. What is the remainder when 150 is divided by (-108)/(-2) - (z + 16)?
48
Suppose -h + 1595 = 2*u - 966, -3*h + 5*u + 7771 = 0. Calculate the remainder when h is divided by 2561.
16
Suppose -103*o - 40000 = -123*o. What is the remainder when o is divided by 91?
89
Let r(v) = 95*v**3 + v**2 + 13*v - 12. What is the remainder when r(1) is divided by 50?
47
What is the remainder when (-1734)/(-2023) + 3914/7 is divided by 18?
2
Let x(z) = 7*z - 1. Let s be x(2). Let j(q) = 511*q**3 - 1031*q**3 + 4*q - 23 + 521*q**3 - 13*q**2. Calculate the remainder when j(s) is divided by 11.
7
Let y = 282 - 550. Let z = y + 274. Let s = 21 - -24. Calculate the remainder when s is divided by z.
3
Let j = -14559 - -15153. What is the remainder when j is divided by 46?
42
Suppose 0*c - k + 451 = 3*c, 5*c + k - 749 = 0. Suppose 225*q = 110*q + 114*q + 25. What is the remainder when c is divided by q?
24
Let v(g) = g**2 - 4*g - 11. What is the remainder when ((-20)/(-6))/((-4)/12)*-8 is divided by v(8)?
17
Let a be ((-49)/(-3))/((-1)/3). Let k be -14*(8/6)/(7/21). Let s = a - k. Calculate the remainder when 26 is divided by s.
5
Let t be -7 - -1*(1 - (2 - 3)). Let i be t*(-9)/(180/16). Suppose 0 = -3*d + w + 25, -d - 1 + 5 = i*w. Calculate the remainder when 15 is divided by d.
7
Suppose 0 = -3*m + 2*s + 629, -4*m = -3*s - 287 - 552. Suppose 23*c = 42*c - 2280. Let n = m - c. What is the remainder when n is divided by 9?
8
Calculate the remainder when 390 is divided by (2478/(-9) - 0)*2*(-12)/28.
154
Suppose 8899 - 57023 = -53*h. Calculate the remainder when 1823 is divided by h.
7
Let r = 25 - 11. Let y be (-407 - 7)*(-2 - -1). Suppose y = 5*a + r. What is the remainder when a is divided by 21?
17
Let r(h) = -8*h - 145. Calculate the remainder when r(-30) is divided by -17 - -48 - 1*-1.
31
Let p be (-1 - -8)*1*5. Let i = p - 25. What is the remainder when i is divided by 9*8/12*1?
4
Let j(h) = 59*h - 6. Let p be j(-1). Suppose r = 6*r + 2*v - 20, -2*r = v - 7. Calculate the remainder when 3 + 74/(-26) - 3695/p is divided by r.
3
Suppose 2*b - 3*m + 1157 - 1527 = 0, 5*b - 925 = -m. Calculate the remainder when 398 is divided by b.
28
Let i(r) = 11*r**2 + 27*r - 41. Let w = -5 - -9. Calculate the remainder when i(2) is divided by w.
1
Let h = 49 - 42. Suppose -2*i + h*i + 30 = 0. What is the remainder when 2 is divided by i/9*(-6)/(-4)*-2?
0
Suppose -4*a = -c + 3*c - 138, 4*a - 217 = -3*c. What is the remainder when 34 is divided by c/11 + (-18)/99?
6
Let r = 129 - 59. Suppose 25*n - 253 = 197. What is the remainder when r is divided by n?
16
Suppose 25 - 5 = 5*j. Suppose 8 = j*u, 3*g - 120 = -3*u + 1041. Suppose -8*d + g = -d. Calculate the remainder when d is divided by 8.
7
Suppose -5*y + 2*c - 34 = 5, -y + 2*c - 11 = 0. What is the remainder when 138 is divided by (8/(-6) + 2)/(y/(-105))?
8
Let w = 1 + -5. Let h(y) = 18*y - 5. What is the remainder when h(4) is divided by w - (-19 + -2 + -1)?
13
Let x = 760 + -449. Suppose x = 5*y - 10*s