 by 33.
32
Calculate the remainder when 163 is divided by (((-369)/(-6))/3)/((-38)/(-76)).
40
Let o(m) = m**3 + 7*m**2 + 5*m. Let d be o(-6). Let k(x) = 2*x**2 - 8*x + 5. Let l = -5260 - -5266. What is the remainder when k(d) is divided by l?
5
What is the remainder when 8822 is divided by (14 + (-243)/18)*102?
50
Let g(p) = -27*p + 16. Let m(r) = -56*r + 33. Let a(i) = 13*g(i) - 6*m(i). Calculate the remainder when 68 is divided by a(-1).
18
Let n = 5220 - 4789. What is the remainder when n is divided by 55?
46
Suppose -16*g = -13*g - 9. Let c be 3*g/3 + (-6)/3. Calculate the remainder when 84/9*c*(-6)/(-2) is divided by 9.
1
Let z(b) = b**3 - 24*b**2 - 14*b - 54. Let h be z(25). Let s = h + -191. What is the remainder when 88 is divided by s?
28
Let d(t) = 26*t + 272. What is the remainder when 20 is divided by d(-10)?
8
Suppose 12 + 0 = 3*c. Let j(h) = -h**3 + 2*h**2 + 8*h - 5. Let y be j(3). Suppose -c*n + 26 = -y. What is the remainder when 97 is divided by n?
7
Let g(a) = a**2 - 2*a + 1. Let n(j) = 3*j**3 + 40*j**2 - 25*j - 25. Let d(p) = -5*g(p) + n(p). What is the remainder when 165 is divided by d(-12)?
3
Let u be (-19)/(-2) + 1/(-2). Suppose u*z - 300 = 1311. Calculate the remainder when z is divided by 30.
29
Calculate the remainder when 343 is divided by (-23680)/(-672) + 3/7 - 38/57.
28
Let g = -138 - -208. Suppose -6 - g = -4*r. Calculate the remainder when 46 is divided by r.
8
Suppose -618 - 546 = -6*f. Let i = f - 183. Calculate the remainder when 39 is divided by i.
6
Suppose 3*x + 427 + 350 = 2*v, -1 = -x. What is the remainder when v is divided by 181?
28
Let s = 57 - 54. Suppose -s*v - 9 = -237. Suppose 4*c = v + 264. Calculate the remainder when c is divided by 29.
27
Suppose 0 = -172*o + 151*o + 3024. Calculate the remainder when 2158 is divided by o.
142
Suppose -19171 = -58*y + 18413. Calculate the remainder when y is divided by 183.
99
Let z(n) = 4*n**2 - 33*n - 5. Calculate the remainder when 1272 is divided by z(-7).
6
Let m = 11637 - 11588. Calculate the remainder when 409 is divided by m.
17
Suppose 3*m + 1109 = -4*r - r, 2*m + 3*r + 741 = 0. Let y = -178 - m. Suppose 2*g - 6 - 72 = -4*w, w = -g + 34. Calculate the remainder when y is divided by g.
26
Let d(v) = 3*v**2 + v - 2. Suppose -3024664*b = -3024698*b + 9214. What is the remainder when b is divided by d(-5)?
67
Let k = -23 + 104. Let n = -8 + k. Suppose -13 = 4*g - n. Calculate the remainder when 43 is divided by g.
13
Suppose -113*o + 111*o = -84. Suppose 4*p + o - 98 = 0. Calculate the remainder when 96 is divided by p.
12
Let s = -4440 + 4457. What is the remainder when 994 is divided by s?
8
Suppose 0 = -5*g - m + 600, -m + 481 = g + 3*g. Suppose 35*x - 3*v - 114 = 31*x, 100 = 3*x + 5*v. Calculate the remainder when g is divided by x.
29
Let c(g) = 39*g**2 - 65*g + 77. What is the remainder when c(-10) is divided by 14?
7
Suppose -18*r + 3096 - 661 = -4531. Calculate the remainder when r is divided by 136.
115
Let r(q) = 58*q**2 - 337*q - 5651. Calculate the remainder when r(-18) is divided by 343.
342
What is the remainder when 463 is divided by (-3)/6*(3 + -3) + (-2204)/(-38)?
57
Let j(d) = 3*d - 5. Let w(l) = 2*l**2 - 7*l + 4. Let n be w(4). Let p = -16260 + 16272. What is the remainder when j(n) is divided by p?
7
Let p be (-136)/2 + (3 - 5). Let k = -54 - p. Calculate the remainder when 28 is divided by k.
12
Let k = -2900 - -2957. What is the remainder when 123 is divided by k?
9
Suppose 75 = w - 4*h - 19, -4*w + 291 = h. Let d be 6/54*-6*18/(-4). Suppose y + d = -0, 0 = -i + 2*y + 19. Calculate the remainder when w is divided by i.
9
Let l(q) = q**3 - 31*q**2 - 33*q + 33. Let m be l(32). Calculate the remainder when 18 is divided by (0 - -5 - m - 8) + 8.
2
Suppose -14 - 10 = -w. Suppose -272*o = -121*o - 104*o - 2021. What is the remainder when o is divided by w?
19
Let r(s) = -14*s**2 + s**3 - s**2 + 15*s - 73 + 117 - 58. Let k be r(14). Suppose k = -2*t - t + 327. Calculate the remainder when t is divided by 37.
35
What is the remainder when (-22)/66*-1*27 is divided by (-123)/(-82) + -2 + (-22)/(-4)?
4
Suppose -5*y = r - 21, 0 = 5*y - 2*r - 29 - 4. Suppose -5*b - 361 = -4*k + 2*k, 0 = y*k - 4*b - 911. What is the remainder when k is divided by 93?
90
Suppose 5*z + 2*u + u - 951 = 0, -z - 4*u = -180. What is the remainder when z is divided by (20 - 36) + 12 - (-1 + -16)?
10
Suppose -180*b + 176*b + 20712 = -4*s, -5*b = -4*s - 25886. Calculate the remainder when b is divided by 37.
31
Let y(n) = n**3 - 32*n**2 + 238*n + 178. Let i(j) = 6*j**3 + j**2 - 2*j + 1. What is the remainder when y(13) is divided by i(1)?
1
Suppose -2*u - 4*k + 0*k = -5410, -5*u + 13480 = k. What is the remainder when u is divided by 142?
139
Let y(j) = 4*j - 50. Let u be y(15). Let c = -6 - -10. Calculate the remainder when u + 14 + 10/(-2) is divided by c.
3
What is the remainder when 337 is divided by 129/86 + 3/((-6)/(-73))?
33
Let j(b) = -217*b - 617. Calculate the remainder when 973 is divided by j(-3).
21
Let g(b) = -b**3 - b + 34. Let r = -76 + 76. Let a = -159 - -223. Calculate the remainder when a is divided by g(r).
30
Suppose -148 = 21*o - 23*o + 4*b, -180 = -3*o - b. What is the remainder when 109 is divided by o?
47
Let z(r) = 9*r + 3. Let t(g) be the third derivative of g**5/15 - g**4/24 + 14*g**2. Calculate the remainder when t(3) is divided by z(1).
9
Suppose 45*r = -5*r - 69*r + 63070. What is the remainder when r is divided by 88?
2
Let i = -182 + 220. Suppose v - 3*z + 5 - 41 = 0, i = v - 4*z. Calculate the remainder when 140 is divided by v.
20
Let d(m) = -2*m. Suppose -r - 20 = 3*r. What is the remainder when d(r) is divided by (4390/7463)/((-15)/(-102))?
2
Let u(c) = 16*c**3 - 7*c + 6. Suppose -2*n = 2*n - 656. What is the remainder when (-2)/6 + n/6 is divided by u(1)?
12
Let c(s) = -s**3 - 3*s**2 + 56*s + 25. Calculate the remainder when 640 is divided by c(-9).
3
Suppose 4 = 3*b + 40. Suppose 415 = 9*h + 379. What is the remainder when b/(-1) - 12/6 is divided by h?
2
Suppose -15*u + 6*u = -3744. Suppose 3*c + u = 443. What is the remainder when 42 is divided by c?
6
Suppose s + 54 = 4*n, n = 2*s + 7 + 3. Suppose -306 = n*f - 894. What is the remainder when 165 is divided by f?
39
Suppose 2*c - 2078 + 684 = 0. Suppose -10*x = 7*x - c. What is the remainder when 161 is divided by x?
38
Suppose 4*i = 5*i + 1, -5*c + 208 = 2*i. Suppose 5*m - 967 = 3*f, 13*m - 14*m - 1 = 0. Let s = 339 + f. What is the remainder when c is divided by s?
12
Let w(i) = -362*i - 342. Let x be w(-10). Suppose -x = -24*g + 3970. Calculate the remainder when g is divided by 34.
30
Let d be 12*((-21)/(-9))/7. Suppose -d*r + 7*r = 9. Suppose -84 = -4*c + o, 72 = 4*c - r*o - o. Calculate the remainder when c is divided by 4.
2
Suppose 47*r - 5445 = 24*r + 6745. What is the remainder when r is divided by 171?
17
Suppose 0 = 113*y - 120*y + 56. Suppose 5*g - y*g + 189 = 5*u, -299 = -5*g - 3*u. What is the remainder when 115 is divided by g?
57
Suppose 5*j - 15*j + 9144 - 2344 = 0. Calculate the remainder when j is divided by 323.
34
Suppose 5*s + 52 = 2*r, -s - 39 = 42*r - 45*r. Calculate the remainder when (-2)/(-9) + (-6380)/(-45) is divided by r.
10
Let i(v) = -9*v + 90. Let o(p) = -9*p + 90. Let j(h) = -5*i(h) + 6*o(h). What is the remainder when j(6) is divided by 3?
0
Let l be -10 - -4 - (-1 + -3). What is the remainder when -1 + 1 - l*32 is divided by 18?
10
Suppose 349*y = 346*y + 9. Suppose i = -2*k + 110, -5*k - y*i + 296 = 23. Calculate the remainder when 738 is divided by k.
54
Suppose -w + 37 = j, -7*w - 4*j + 127 = -126. Let n be 33/4 - (-1)/(-4). What is the remainder when w is divided by (1 + -2)*n*-1?
3
Let i(v) = 26*v + 490. What is the remainder when 79 is divided by i(-18)?
13
Let j = -2721 + 2755. Let b = -234 + 334. What is the remainder when b is divided by j?
32
Suppose -15*i = -11*i + t - 511, -t = -4*i + 521. What is the remainder when i is divided by 123?
6
Let j = -12 - 1. Let q(y) be the third derivative of y**6/120 + 13*y**5/60 + y**4/24 + 5*y**3/2 - 10*y**2. Calculate the remainder when 8 is divided by q(j).
0
Let x = -8 + -62. Let c = x - -99. Let z = 1219 - 1211. What is the remainder when c is divided by z?
5
Let a(g) = 34*g**3 - 6*g**2 + 