*2 - 171*n + 191. Calculate the remainder when a(-35) is divided by 21.
9
Suppose -836 - 177 = -157*q + 243. Let n(p) = -2*p**3 - 3*p**2 + 1. What is the remainder when q is divided by n(-2)?
3
Let t(p) = -2*p**3 + 41*p**2 + 19*p + 77. What is the remainder when ((-12)/(-10))/(2/580) is divided by t(21)?
33
Suppose -549 = -8*g + 187. Let r = g + -73. What is the remainder when 33 is divided by r?
14
Let a(k) = k - 27*k + 2 + 5*k + k - 15*k - 2*k**2. What is the remainder when 86 is divided by a(-17)?
10
Let l = -22195 - -22916. What is the remainder when l is divided by 9?
1
Let b(l) = 203*l**3 + 8*l - 7. What is the remainder when b(1) is divided by 70?
64
Let d = -43 + -85. Let z = d - -171. What is the remainder when z is divided by 23?
20
Let f = 299 + -329. What is the remainder when -3*(-185)/f*-6 + 0 is divided by 14?
13
Suppose j + 47 = 148. Let r(l) = -5*l + 24. Let b be r(6). Let o(h) = h**2 - h - 8. What is the remainder when j is divided by o(b)?
33
Let y(g) = g**2 - 5*g + 7. Let i be y(-6). Let f = 62 - i. Let z = f + 54. Calculate the remainder when z is divided by 9.
7
Let g(a) = -10*a + 62. Let d be g(6). Suppose -4*p + d*o = p - 176, 3*o - 78 = -2*p. What is the remainder when 71 is divided by p?
35
Let t(h) = -h**3 - 3*h**2 + 25*h - 11. Let z be 2*((-468)/(-8))/(-13). What is the remainder when t(z) is divided by 36?
34
Let m(q) = 41*q**2 - 2*q + 1. Let z(c) = -c**3 + c**2 - c + 1. Let i be z(0). Let k = 328 + -314. Calculate the remainder when m(i) is divided by k.
12
Suppose -6 = k - 2*u, -3*k = -0*k - 2*u + 30. Let b = k + 14. Calculate the remainder when (5 + 0)*(-4 + 7) is divided by b.
1
Suppose 3*a = 4*b + 1326, -4*a + 1269 = 2*b - 455. Calculate the remainder when a is divided by 215.
4
Let o = -20268 - -28260. Calculate the remainder when o is divided by 39.
36
Suppose 623 = 6*u - 1498 + 285. Calculate the remainder when u is divided by 74.
10
Let j(x) = 980*x - 91. Calculate the remainder when j(5) is divided by 74.
73
Let f(r) = -r**3 - 2*r**2 + 5*r + 6. Let u = -248 - -385. Suppose u*g = 136*g + 51. What is the remainder when g is divided by f(-4)?
15
Suppose 43 = 2*k - 15. Suppose -2*a - 4*q + 40 = 0, -94 + k = -5*a - 3*q. Suppose a*z - 110 = 20. What is the remainder when 22 is divided by z?
9
Let p(o) = -o**2 + 30*o - 140. Let t be p(6). Suppose 4*a + t*d - 46 = 2*a, -2*a = -d - 21. What is the remainder when 142 is divided by a?
12
Suppose -5*b - 4*g + 5264 + 18982 = 0, 5*b + 3*g = 24247. Calculate the remainder when b is divided by 99.
98
Suppose 2*t - 5*t + 53 = p, -p - 83 = -5*t. Suppose -385*h - 428*h = -977*h + 19352. Calculate the remainder when h is divided by t.
16
What is the remainder when (-7711)/(-6) - (-20)/24 - (2 - -1) is divided by 58?
7
Suppose 0 = 3*j - 4*w - 207, -4*j + 60*w = 59*w - 250. What is the remainder when 1086 is divided by j?
49
Let v be -6*(-9 - -10)*109/(-1). Suppose -3*x + 0*x = -228. Calculate the remainder when x is divided by (-3)/(-15) + v/30.
10
Suppose 2*d - 2*m + 5 = 3*d, -4*m = 8. Let k(b) = 8*b - 3. Let n be (7/2)/(2/4). Calculate the remainder when k(n) is divided by d.
8
Suppose -381*s = -3667 - 4715. Let v = 2 - 2. Suppose 2*f - 16 = -2*i - v*i, -2*i + f + 7 = 0. What is the remainder when s is divided by i?
2
Let d be 4/(-22) - 9/((-495)/890). Suppose d*r = 10*r + 204. Let u(l) = 2*l**2 - 4*l + 2. What is the remainder when r is divided by u(4)?
16
Let n = 4396 - 4369. What is the remainder when 288 is divided by n?
18
Let j = 2609 - 1429. Calculate the remainder when j is divided by 74.
70
Let j(x) = -x**3 - 23*x**2 - 89*x - 3157. What is the remainder when j(-26) is divided by 17?
12
Suppose 271 - 277 = f, -4*q = -3*f - 1690. Calculate the remainder when 1687 is divided by q.
15
Let q = -102 + 25. Suppose -2*j + 12 = 2*n + 2, 20 = 4*j - 2*n. What is the remainder when ((-7)/(q/22))/((-2)/(-17)) is divided by j?
2
Let u = -678 - -672. Let x(d) = -24*d - 75. What is the remainder when 410 is divided by x(u)?
65
Let v be 29/8 + (-3)/(-8). Suppose -u = -4*l - 65, v*u - 70 = 5*l + 135. What is the remainder when u is divided by 44?
1
Let m = 29388 + -29319. Calculate the remainder when 11313 is divided by m.
66
Suppose -48 = 44*x - 48*x. What is the remainder when 4064 is divided by x?
8
Calculate the remainder when 863 is divided by -4 + 85 + 0/64.
53
Suppose 0*p = -5*p + 395. Let g(q) = -q**2 - 103*q + 1042. What is the remainder when p is divided by g(-112)?
11
Let h(w) = w**3 + 7*w**2 - 15*w - 59. Suppose t = -3*t - 4*g - 44, -3*g - 19 = t. Calculate the remainder when 82 is divided by h(t).
36
Let w = 2982 + -2647. What is the remainder when w is divided by 49?
41
Let u = -3970 + 4330. Calculate the remainder when u is divided by 74.
64
Let y = 118 - 78. Suppose 131 = 9*i - y. What is the remainder when 56 is divided by i?
18
Let j = -196 + 190. What is the remainder when 158/j*(-7 + -11 + 15) is divided by 40/4*1/1?
9
Let n(u) = -u**3 + u**2 + 17. Suppose 0 = -3*m + 2*c + 178, -8*m - 3*c = -4*m - 260. Calculate the remainder when m is divided by n(0).
11
Calculate the remainder when 190 is divided by 33/(-3) + (114 - 25).
34
Let g = -1542 - -1552. What is the remainder when 1507 is divided by g?
7
Suppose 107*c = 109*c - 86. Let f = 130 - c. Suppose 225 = p + 4*p. What is the remainder when f is divided by p?
42
Suppose m = 3*s + 53 - 100, 3*m = -3*s + 51. Let o(x) = 4*x**2 + x - 3. Calculate the remainder when o(-5) is divided by s.
12
Suppose 175*w - 166*w - 36 = 0. Let q(f) be the first derivative of 2*f**3 + f**2 - 5*f + 16. Calculate the remainder when q(-3) is divided by w.
3
Suppose -2 + 0 = y + 2*r, 2*y = 4*r - 12. Let q(f) = -f**3 - 2*f**2 - 9*f - 1. Calculate the remainder when q(y) is divided by 10.
7
Let u = -72 - -45. Let t = 28 + u. Let n(a) = 57*a**3 - a**2 + 4*a - 2. What is the remainder when n(t) is divided by 15?
13
Let t(x) be the second derivative of -11*x**3/6 - 9*x**2/2 + 56*x. Let y(n) = 3*n + 2. Let v be y(-2). Calculate the remainder when t(v) is divided by 20.
15
Let d be 38/9 + (-6)/27. Let s(a) = -7*a - 2. Let h(r) = -r + 1. Let t(w) = 4*h(w) - s(w). What is the remainder when 89 is divided by t(d)?
17
Let c = -362 - -369. Suppose 6*r = c*r - 124. What is the remainder when r is divided by 18?
16
Let a(k) = 2*k. Let s be a(2). Suppose 6*m - s*m = 4. Suppose -2*g + 29 = d, -m*g - g - 3*d + 36 = 0. Calculate the remainder when g is divided by 6.
5
What is the remainder when 1609 - 326 - ((-4)/(-2) + -3) is divided by 39?
36
Let s(b) = b**3 + 9*b**2 + 15*b + 10. Let h be s(-7). Suppose h*w - 61 - 131 = 0. What is the remainder when 317 is divided by w?
61
Suppose 5*f = -5*a + 1335, 0 = -4*f - 4*a + 7*a + 1047. What is the remainder when 30 is divided by (f/21)/2*(-91)/(-26)?
8
Let n(h) = h**3 - 6*h + 4. Let k be n(-3). Calculate the remainder when (-1 - 1 - 23)/(-1) is divided by 0 - (-14 - (k + 0)).
7
Let q(k) = -54*k**3 + 2*k**2 - 232*k - 233. Let n = -14 - -29. Calculate the remainder when q(-1) is divided by n.
10
Suppose -f + 8 = f. Let c = 410 + -412. Let t = c - -8. What is the remainder when t is divided by f?
2
Let b be ((-5)/(-30)*6)/((-1)/3). Calculate the remainder when (-2678)/(-39) + b/(-9) is divided by 14.
13
Let h(y) = -y**3 - 4*y**2 - 8*y - 7. Calculate the remainder when ((-4080)/(-27))/(44/66) + (-15)/9 is divided by h(-5).
51
What is the remainder when (-128)/(-1088) - (-3226)/34 is divided by 11?
7
Let b(m) = -3*m + 209. What is the remainder when b(-8) is divided by 26?
25
Let u = 5 + 1. Let i be (-2)/(-4*4/360). Suppose -b + u*b - i = 0. Calculate the remainder when 35 is divided by b.
8
Let g be (-1 - 3/15)/((-12)/90). Suppose 4*x + 63 = 3*p, -107 = -5*p + 3*x + g. Calculate the remainder when 96 is divided by p.
21
Let x(h) be the first derivative of h**4/2 - 2*h**3 - h**2 - 8*h - 128. What is the remainder when x(6) is divided by 8?
4
Suppose 54*v - 75*v + 546 = 0. Suppose 2*y - v = -j + 3*y, -3*j + y = -88. Calculate the remainder when 107 is divided by j.
14
Let m = -661 + 677. Suppose 2*q + 2 = m. Suppose 244 = 3*a + a. Calculate the remainder when a is divided by q.
5
Let j(c) = -4*c + 132. Let a be j(33). Suppose 46*p - 48*p + 42 = a. Calculate the remainder when 59 is divided by p.
17
Suppose 5*m - 