210 + 206. What is the remainder when ((-160)/56 - 8)*14/z is divided by f(8)?
8
Let a = -64 + 79. Suppose 6*u - 4*u = -4. Calculate the remainder when 18 is divided by (8/(-5))/(u/a).
6
Let t = 1 - -45. Suppose 0 = -2*a - 176 - t. Calculate the remainder when -1 - (a/(-6))/(2/(-4)) is divided by 19.
17
Suppose -2*w = -w + 4*s - 228, -w - 5*s = -229. Let y = -212 + w. Calculate the remainder when 706 is divided by y.
10
Let z = -320 - -324. Suppose 16*r = z*r + 276. What is the remainder when 2/7 - 878/(-14) is divided by r?
17
Suppose -u + a = -19, -703*u + 702*u + 8*a = -89. Let t(x) = 28*x + 1. Let c be t(1). Calculate the remainder when 1 - (-1*c - -2) is divided by u.
1
Suppose -178*g = -173*g + 2*p - 1537, -5*p = -5. What is the remainder when g is divided by 9?
1
Suppose 4*z = -3*i + 53, z - 17 = -i - i. Let o be (1 + -2 + 15)/1. Suppose z*p - o*p = -93. What is the remainder when p is divided by 11?
9
Suppose 4*i - 144 = -0*i - 4*m, -3*i - 4*m + 111 = 0. What is the remainder when 1365 is divided by i?
12
Let n = 51 - 21. Suppose 0 = -4*a - n + 22. Calculate the remainder when 44 is divided by (3 + 10)/(-1 - a).
5
Let r(d) = -d**2 - 46*d - 54. Let p be r(-36). Let n(b) = 27*b**3 + b**2 - b. Let t be n(2). Let h = p - t. What is the remainder when h is divided by 30?
28
Suppose 18*t = 54*t - 30*t - 366. What is the remainder when 2054 is divided by t?
41
Let j(y) = 116*y**3 + 10*y**2 - 7*y - 10. Calculate the remainder when j(5) is divided by 77.
75
Suppose 66*w - 28 = 62*w. Calculate the remainder when 354 is divided by (5 + -4)/(w/497).
70
Suppose 60 = w + 14. Calculate the remainder when (170 - (4 + 19)) + -16 is divided by w.
39
Let r(q) = -4*q**2 - 9*q + 2. Let v be r(-3). Let f = 9 + -3. What is the remainder when f is divided by (88/12 + v)/(1/9)?
0
Let y = 9121 + 972. What is the remainder when y is divided by 49?
48
Let d(c) = 1208*c - 786. Calculate the remainder when d(1) is divided by 66.
26
Suppose 4*o - 44 = 364. Let s = 12896 - 12840. Calculate the remainder when o is divided by s.
46
Let c = 58694 - 58682. Let g(y) = 19*y**3 + 3 - 2*y**2 + 3*y**3 - 2. What is the remainder when g(1) is divided by c?
9
Let v be 62/403 - 19116/39. What is the remainder when -7 + 3*v/(-15) is divided by 4?
3
Suppose -3*h + 1398 - 345 = 0. Let l = -136 + h. Calculate the remainder when l is divided by 44.
39
Suppose t + 3 = 5. What is the remainder when t/((-4)/2) - -109 is divided by (-153)/(-102)*(-40)/(-6)?
8
Let i = 20 - 11. What is the remainder when (-6)/(-24) + 855/4 is divided by i?
7
Let u = 207 - 198. Let c(t) = 5*t**2 + 20*t - 16. Calculate the remainder when c(u) is divided by 22.
19
Let f(n) = n**2 - 13*n + 306. Calculate the remainder when f(20) is divided by 30.
26
Let k be 3/(-6)*(6 - 4 - 16). Suppose -104 = -4*y + 4*s, -2*y + k + 40 = 3*s. What is the remainder when 99 is divided by y?
24
Suppose 5*h = -600 + 615. Suppose 2*n = -h*j - 3*n + 89, 57 = 2*j + n. What is the remainder when j is divided by 10?
8
Suppose 0 = 3*x - 5*n - 13, -5*n - 6 = -2*x + 1. Suppose 0 = -x*l - 19 + 7. Calculate the remainder when 1312/48*(1 + l/(-4)) is divided by 11.
8
What is the remainder when 24 is divided by ((-54)/(-45))/((-27)/(-225))?
4
Suppose 0 = -4*k + 3*s + 35, -5*k + 5*s - 10*s = -70. Let q(h) = h**2 - 9. Let c be 2/(-8) + (-377)/(-52). What is the remainder when q(c) is divided by k?
7
Let y = 66417 - 66280. Let z(s) = s**3 - 6*s**2 + 8*s - 1. Calculate the remainder when y is divided by z(6).
43
Let r(j) = j**3 - 8*j**2 + 12*j - 11. Let c(y) = 18*y + 475. Let s be c(-26). Let k(u) = u + 3. Calculate the remainder when r(s) is divided by k(6).
6
Let y(d) = 3*d**3 + 13*d**2 + 11*d + 38. Calculate the remainder when 8238 is divided by y(-4).
8
Suppose 4*u + 2*u - 267 = 3*u. Let o = 40 + -25. What is the remainder when u is divided by o?
14
Suppose 6*m - 417 = -51. Let d = m + -62. Calculate the remainder when 73 is divided by (d - -2) + -1 + 19.
16
Let g(k) = k**3 - 14*k**2 + 13*k + 15. Suppose -4*c = -5*c + 2. Suppose 3*u - 97 = 2*v, 67 = u + c*u + 4*v. Calculate the remainder when u is divided by g(13).
14
Suppose 5*m - 1224 = -3*k + k, -975 = -4*m - 3*k. Let v = m + -201. What is the remainder when v is divided by 16?
13
Let g = 6297 + 18200. Calculate the remainder when g is divided by 9.
8
Let g = 2874 - 1607. What is the remainder when g is divided by 53?
48
Let w be (36/(-30))/((-1)/(160/(-3))). Let b(z) = z**2 - 8*z + 5. What is the remainder when ((-60)/12)/(3 - w/(-20)) is divided by b(9)?
11
Let w(j) = 38*j**2 - 2*j - 97. What is the remainder when w(6) is divided by 84?
83
Suppose 322 + 463 - 147 = 11*d. Let s(t) = -1 + 8 - 2*t + t. What is the remainder when d is divided by s(-5)?
10
Suppose -18*n + 23*n - 51 = -3*c, -4*c + 68 = -n. Calculate the remainder when -1*(1 - 2) - -115 is divided by c.
14
Suppose 2*j = -3*z + 139, 5*j = 2*z - 85 - 33. Let o = 10 + 53. Let t = o + -50. Calculate the remainder when z is divided by t.
10
Let w(x) = -8*x**2 + 16*x + 11. Let h(g) = -10*g**2 + 17*g + 11. Let z(j) = 3*h(j) - 4*w(j). Calculate the remainder when 129 is divided by z(8).
12
Let u(h) = 13*h + 1. Let r(t) = -t**3 - 67*t**2 - 31*t + 2382. Calculate the remainder when r(-66) is divided by u(3).
32
Suppose -170*l = 35*l + 5*l - 256830. Calculate the remainder when l is divided by 51.
50
Suppose -28*d = -35*d + 9744. Suppose 0 = 2*o - 5*n - 771 + 59, 0 = 4*o - 2*n - d. Calculate the remainder when o is divided by 12.
10
Let d = 334078 - 334040. Calculate the remainder when d is divided by (-41 - 1)/2*-1.
17
Suppose 0 = -2*l + 4*n, 0 = n + 2. Let t = l + 11. Suppose 39*a = 34*a + 10. What is the remainder when t is divided by a?
1
Let p = 437 - 612. Let y = p - -190. Calculate the remainder when 28 is divided by y.
13
Let g(z) be the third derivative of -z**6/20 - 5*z**4/12 - 10*z**3/3 - 192*z**2. What is the remainder when 573 is divided by g(-2)?
45
Let y(b) = 911*b + 4588. What is the remainder when 659 is divided by y(-5)?
32
Suppose -63*x + 4440 = -33*x. Suppose x*s = 153*s - 180. Calculate the remainder when 142 is divided by s.
34
Suppose 10*r - 108 = 742. Calculate the remainder when 92 is divided by r.
7
Suppose -10*o = -66*o + 3024. Suppose -5*m + 16 = -3*m. Calculate the remainder when (o/m)/((-2)/(-24)) is divided by 23.
12
Let s(d) = 6*d**2 + 757*d + 172. What is the remainder when 506 is divided by s(-126)?
0
Let o = 3246 + -3149. What is the remainder when o is divided by 3?
1
Suppose -204*r = 42*r - 169002. Calculate the remainder when 2759 is divided by r.
11
Suppose 52 - 36 = 4*w. Suppose -w*o + 242 = 7*o. Let p = -400 - -404. What is the remainder when o is divided by p?
2
Let k(r) = 79*r + 276. Let d be k(-6). Let s = -161 - d. Calculate the remainder when 103 is divided by s.
29
What is the remainder when 786 is divided by 44/8*5/((-10)/(-12))?
27
Suppose 0*r + 13 = r. Let x be 3/(-5) - (-2548)/130. Suppose n - 9 = x. What is the remainder when n is divided by r?
2
Let w be (-7)/(-2) + -2*(-3)/12. Suppose 0 = -5*q - 5*a + 35, w*q + 10*a - 5*a = 25. Calculate the remainder when q is divided by 6.
4
Suppose 15*y - 12*y = 90. Suppose r = -3*r - 16, 2*p = 3*r + y. Suppose -p = 3*x - 0, -2*c + 99 = -5*x. What is the remainder when c is divided by 9?
6
Let a(u) = -2*u - 9. Suppose 0 = 26*v - 36*v - 1020. Calculate the remainder when (-3 - 294/v) + 189/17 is divided by a(-6).
2
Suppose 34 + 2 = 2*x. Let k = 21 - x. Suppose -52 = 2*g - k*g. What is the remainder when g is divided by 11?
8
Suppose 0 = 25*i - 22*i + 9, f = -4*i + 28. What is the remainder when 747 is divided by f?
27
Suppose -12*n - 9 + 9 = 0. What is the remainder when 91 is divided by n + (-168)/(-8) + -2?
15
Suppose 70 = -20*a + 35*a - 8*a. What is the remainder when 739 is divided by a?
9
Let d = -165 + 353. Calculate the remainder when d is divided by (32/(-5))/((-8)/120).
92
Suppose -4*a - 5*j + 28 = -j, -3*j = 4*a - 27. What is the remainder when (14/8 - -2)*15/(-375)*-80 is divided by a?
0
Let x(p) = 43*p - 76. Let r = -273 + 307. Calculate the remainder when x(12) is divided by r.
32
Suppose -5*m - 87 = -337. Let t = m + 17. Suppose -t + 165 = 7*s. What is the remainder when 23 is divided by s?
9
Suppose -2*j + 637 = -u, 4*j + 66*u = 71