s the remainder when (z/(-10))/(27/(-720)) is divided by 34 - ((-2)/(-2))/(-11 + 10)?
29
Suppose 9*p = 4*p - 2*f + 20, 3*f = 5*p + 5. Let u be 45/9 + (0 - p). Suppose 0 = u*b - 168 + 3. Calculate the remainder when b is divided by 29.
26
Suppose -392 = 50*m - 58*m. Suppose 6*x - x - 20 = 0. Suppose -d = s - m, x*s + 161 = -0*d + 3*d. What is the remainder when 101 is divided by d?
50
Suppose 0 = 5*k - 305 - 40. Let j = -496 + 720. Suppose -5*b - k + j = 0. What is the remainder when b is divided by 11?
9
Let p(u) = -10*u - 2. Suppose 9*f + 12 = 13*f. Calculate the remainder when (10/(-2))/((-22)/7 + f) is divided by p(-2).
17
Let a = -8 - -26. Let o be -509 + -10 + (1 - 2) + -1. Let p = -470 - o. Calculate the remainder when p is divided by a.
15
Suppose -6414 = -2*m - 5*w, 2*m = 2*w + 6446 - 4. What is the remainder when m is divided by 26?
19
Let c(x) = 6*x - 4. Let s be c(2). Calculate the remainder when (-2)/s - 3451/(-28) is divided by (-6)/(25/(-30) - 5/(-30)).
6
Suppose 0 = 3*z + 100 - 118, -3*z = -2*v + 122. What is the remainder when 205 is divided by v?
65
Let a(p) = p**3 + 34*p**2 + 6*p + 377. Calculate the remainder when a(-34) is divided by 103.
70
Let d(f) = 22*f**2 + 2*f - 1. Let y be 1 - (0 + -1) - 1. Calculate the remainder when (-733)/(-17) + -2 + 32/17 is divided by d(y).
20
Suppose -n = -5*i - 20, 0*n - n - 5*i + 30 = 0. Suppose -n*r + 35*r = 650. Calculate the remainder when r is divided by 28.
9
Suppose -3*s - 3*f + 551 = 128, 137 = s + 2*f. Calculate the remainder when 15804 is divided by s.
144
Let y be ((540/16)/3)/(6/112). Suppose -50*l = -43*l - y. What is the remainder when 55 is divided by l?
25
Suppose 0 = 9*z - 2774 + 465 - 5917. Calculate the remainder when z is divided by 27.
23
Let h = -6836 + 11461. Suppose 38*v = -749 + h. Calculate the remainder when v is divided by 37.
28
Let s(g) = -134*g + 554. What is the remainder when 2410 is divided by s(4)?
16
Suppose -2*p = 5*z - p - 345, 3*p = -5*z + 355. Calculate the remainder when z is divided by (-13)/(-26)*19/((-6)/39 + (-153)/(-234)).
11
What is the remainder when (-146 - -144)*31/(-2) is divided by (-3 + (-90)/(-42))*-21?
13
Let k(x) = -57*x + 6593. Let l = -1 - -2. Let s(t) = 150*t + 1. What is the remainder when s(l) is divided by k(115)?
37
Let h(w) be the third derivative of w**6/120 + 7*w**5/30 + 11*w**4/24 - w**3 + 77*w**2. Calculate the remainder when h(-12) is divided by -1 - (0 + 0 - 10).
6
Suppose 0 = -0*n - 3*n - 4*w - 28, -2*n - 11 = -5*w. What is the remainder when 459 is divided by 73 + n + (-1 - (-4)/2)?
63
Let t = -183 + 191. Let p(y) = y**2 + y - 30. Calculate the remainder when p(t) is divided by 11.
9
Suppose -2392 = -80*l - 472. Calculate the remainder when l is divided by 4.
0
Suppose 0 = 2*d - 149 + 7. Suppose 2*b = -5*q + 53, 0 = 5*b + d*q - 70*q - 98. What is the remainder when 69 is divided by b?
12
Suppose -3040 = -139*p + 44*p. Calculate the remainder when 1407 is divided by p.
31
Let g(j) = 438*j**3 + 17*j**2 - 14*j - 2. Calculate the remainder when g(1) is divided by 186.
67
Let k(u) = -8*u - 2*u**2 - 10*u + 0*u**2 + 34 + 3*u**2. Let b be k(16). Suppose -11 - 25 = -b*h. What is the remainder when 65 is divided by h?
11
Let z = 16149 - 16084. What is the remainder when 113 is divided by z?
48
Let k be 162/(-36)*(2 + 44/6). Let o(p) = -p**3 - p**2 + 3*p + 2. Calculate the remainder when 15/(-25)*2170/k is divided by o(-3).
9
Suppose 41*o - 1727 = 40*o. Calculate the remainder when o is divided by 57.
17
Suppose 359*r = 360*r + 4*f - 40, -3*f = -2*r + 80. What is the remainder when r is divided by 3 - 2 - 23/(-1)?
16
Suppose -10341 + 1350 = -133*v + 2314. Suppose x + 12 = -x. Let p = v + x. What is the remainder when p is divided by 27?
25
Suppose 0 = y + 2*y + 3*v - 273, y - 79 = 2*v. Let s = y + 14. What is the remainder when s is divided by 36?
29
Let w(s) = 17*s - 220. Let b(v) = -6*v + 110. Let f(p) = -9*b(p) - 4*w(p). Calculate the remainder when 264 is divided by f(-10).
24
Let n(k) = 2*k**3 - 9*k**2 - 8*k + 5. Let x(u) = -2*u**3 + 8*u**2 + 6*u - 4. Let i(r) = -2*n(r) - 3*x(r). What is the remainder when i(5) is divided by 49?
43
Suppose -5*q + 218 = -f + 741, 5*f + 325 = -3*q. Let o = 121 + q. What is the remainder when 105 + -1 - o/(-24)*-6 is divided by 27?
19
Let i(o) = -o**3 + 5*o**2 - o - 3. Let p be i(2). Suppose -p*k = -15*k + 224. Calculate the remainder when 362 is divided by k.
26
Let r = 9156 + -9138. Calculate the remainder when 43 is divided by r.
7
Suppose 62*u - 7307 = -1231. Calculate the remainder when 6759 is divided by u.
95
Let w(s) = 22*s - 3. Let q be w(-2). Let x = -48 - q. What is the remainder when (x/3)/(2*2/(-204)) is divided by 4?
1
Suppose 8523*d - 126 = 8521*d. Let b = -85 - -182. Let y = b - d. What is the remainder when 65 is divided by y?
31
Suppose 77 + 83 = 8*d. Suppose 12*y - d*y + 56 = 0. Suppose -10*q = -y*q - 48. What is the remainder when 44 is divided by q?
12
Let d(b) = -b**3 - 39*b**2 + 46*b + 274. Let h be (-2534)/(-18) + (-8)/(-36). Let a = 240 - h. What is the remainder when a is divided by d(-40)?
31
Suppose -1079 = 22139*k - 22166*k + 1000. Calculate the remainder when 1759 is divided by k.
65
Let h(n) = 8*n + 1. Let d be h(2). Calculate the remainder when 150 is divided by d*((-9)/(-21) + (-12)/(-21)).
14
Let a = 387 + -218. Let v = 243 - a. Let c = v + -31. Calculate the remainder when 85 is divided by c.
42
Let i = 30 + -14. Suppose -35*b + 38*b - 6 = 0. Suppose b*q + 39 - 97 = 0. What is the remainder when q is divided by i?
13
Calculate the remainder when (-772893)/2442*3/(18/(-8)) is divided by 114.
80
Let m = 7 + 21. Let b be (2 + (-35)/14)/((-3)/(-42)). What is the remainder when m is divided by -6 - (-10 + b - 4)?
13
Suppose 2*g - 174 + 56 = 0. Suppose 3*m + 175 = n, 9*n + 525 = 12*n - 3*m. Calculate the remainder when n is divided by g.
57
Let i(f) = f**2 + 3*f + 8. Calculate the remainder when 49 is divided by i(3).
23
Let d = -7 + 9. Suppose -a + 2 = v - d*v, -4*a + 6 = -5*v. What is the remainder when v is divided by (0 - -1) + 0 + 0?
0
Let b(p) = -6*p - 15. Let u be 5*(-3 - ((1 - 4) + 5)). Calculate the remainder when b(u) is divided by 17.
16
Let y = -19 - 31. Let h = y + 87. Suppose -266*c - 1548*c + 38094 = 0. Calculate the remainder when h is divided by c.
16
Suppose -350 - 156 = -22*l. Suppose 0 = -4*o + 2*b + 30, -3*b + 6 = -o - 7*b. Calculate the remainder when l is divided by o.
5
Suppose 1150 = 2*b - q, 3*b + 37*q = 42*q + 1704. What is the remainder when b is divided by 160?
98
Let i(u) = 10*u**2 + 182*u + 536. Suppose 2*t + 32 = 2*b, -2*t = -3*b + 2*b + 14. Calculate the remainder when i(-3) is divided by b.
8
Let s be ((-18)/(-24))/(6/(-4))*0. Suppose -4*x - 2*r = -s*r - 480, -2*x + 252 = -2*r. What is the remainder when x is divided by 34?
20
Let l = -790 + 938. Calculate the remainder when l is divided by 25.
23
Let r = -137 - -320. Suppose 23 = -8*i + r. Calculate the remainder when 55 is divided by i.
15
Let d be 4/(-6)*(-255)/5. Suppose 2*o = -3*w - 7 + d, 3 = o. What is the remainder when 61 is divided by w?
5
Let z = -18 + 20. Let b(d) = d**2 + 0*d**z - 3 + 8*d**2 - 8*d. What is the remainder when b(3) is divided by 28?
26
Let z(k) be the first derivative of -8*k**2 + 286*k + 170. Calculate the remainder when z(5) is divided by 97.
12
Suppose -2*r = 8, -3*r - 2 = -5*j + 395. Suppose 396*p - 401*p + 60 = 0. Suppose -17 = p*o - 341. Calculate the remainder when j is divided by o.
23
Let u(f) = -2*f**3 - f. Let w = 16409 + -16356. Calculate the remainder when u(-3) is divided by w.
4
Suppose -3*x - j = -57, -5*x - 3*j = -2*j - 95. Let i = 92 - 53. Suppose -10*f + 291 = -i. What is the remainder when f is divided by x?
14
Suppose 6*v - 11 = 19. Suppose -2*q + v*q = 99. Let k = -24 + q. Calculate the remainder when k is divided by 8.
1
Calculate the remainder when 8/(-14) + (-502884)/(-1281) is divided by 106.
74
Let o(f) = -f**2 + 7*f + 9. Let c be o(5). Suppose 5*q = 5*w - w, -q - 3*w = -c. Suppose -36 = -0*g - q*g. What is the remainder when 17 is divided by g?
8
Let d(v) = 3*v**3 - v**2 - 7*v + 5. Let j = -248 - -486. Calculate the remainder when d(4) is divided by j/11 + (-84)/(-231).
21
Suppose 0 = 3*r + r, 0 = 4*y + 3*r - 108. Let m(c) =