ded by x.
10
Let w(d) = -d**3 + 5*d**2 + 2*d + 5. Calculate the remainder when (-858)/65*(-1 + (238/6)/(-7)) is divided by w(5).
13
Let t = 10165 + -9116. Calculate the remainder when t is divided by 7.
6
Let v(o) = o**2 + 416*o + 34. Let u(j) = -j - 1. Let k be u(-5). Suppose h + 2*n = 4, -n - 25 = -k*h + 27. What is the remainder when v(0) is divided by h?
10
Suppose 0 = 43*w + 10*w - 2955 - 5048. What is the remainder when 173 is divided by w?
22
Let h = 8061 + -8052. Suppose 5*j + 4*c = 96 + 91, -3*j + 108 = c. Calculate the remainder when j is divided by h.
8
Let l(u) = u**3 + 5*u**2 - 4*u - 1. Let o be l(-6). Let b be (-31 - -3)*(o - -1). Calculate the remainder when 110 is divided by 1/(-3 - b/(-111)).
36
Let r = -590 - -612. Suppose -o - 280 = -5*i - 6*o, 0 = 5*i + 2*o - 292. Suppose -j + i = s, 5*s - 12 = 2*s. Calculate the remainder when j is divided by r.
12
Suppose -15*v - 6795 = -7545. Calculate the remainder when 1547 is divided by v.
47
Suppose -p - 2470 = -3*r, 2*r + 4*p - 2038 = -368. What is the remainder when r is divided by 249?
78
Let h be (-5332)/24 - 1/(-6). Let m = h - -241. What is the remainder when 225 is divided by m?
16
Let k(z) = 5*z - 19. Let d be k(4). Let f be (3/12)/(d/4). Suppose -5*p = 2*r - 18, -3 = 2*p + f. What is the remainder when r is divided by 5?
4
Suppose -29*c = -65*c + 2556. What is the remainder when 492 is divided by c?
66
Let w = -304 - -290. Calculate the remainder when 135 is divided by 4/w + (-11280)/(-280).
15
Suppose 0 = 2*c + 4*f - 954, -2*c + 1158 - 249 = -5*f. What is the remainder when c is divided by 27?
8
Suppose -5*c - 15 = 0, -j - 2*c + 1269 = 941. Calculate the remainder when j is divided by 312.
22
Suppose -69*l + 187*l - 4012 = 0. What is the remainder when l is divided by 20?
14
What is the remainder when 705 is divided by (0 + 3)*(194 + -145)?
117
Let m be 12/27 + 385/45. Suppose 10*o - 133 = -m*o. What is the remainder when 20 is divided by o?
6
Suppose -p + 954 = 5*u, -496*p + 500*p - 378 = -2*u. Calculate the remainder when 317 is divided by u.
126
Let x(m) = m**3 + 25*m**2 + 98*m - 433. Calculate the remainder when 8801 is divided by x(-18).
68
Suppose 0 = 80*q - 84*q + 4*s + 688, -2*s - 6 = 0. Calculate the remainder when 3035 is divided by q.
162
Let o = -4 + 7. Suppose 3*s = -o*p + 2*p + 108, 2*s + 4*p = 62. Let j(v) = v**3 + 24*v**2 - 30*v + 94. What is the remainder when j(-25) is divided by s?
34
Suppose -2*s = 4, 39*d - 43*d - 2*s = -9488. What is the remainder when d is divided by 95?
93
Suppose 143 = 34*j - 32*j - 23*x, 59 = j + x. Calculate the remainder when 407 is divided by j.
47
Suppose -2*h - 2*h - 12 = 0. Let y(k) = 24 + 3*k**2 + 2*k**3 + 41*k - 42*k - 25 - k**3. Calculate the remainder when 8 is divided by y(h).
0
Suppose 460*q = 226*q + 230*q + 300. Calculate the remainder when q is divided by 19.
18
Suppose 44 = -10*q + 12*q + 3*l, 5*l = 2*q - 12. Let v(u) = -3*u + 29. Calculate the remainder when v(0) is divided by q.
13
Let t(f) = -f**2 - 1. Let d(l) = -6*l**2 + 3*l - 8. Let s(v) = -d(v) + 5*t(v). Let w be s(3). What is the remainder when 55 is divided by (-4 + w - 55)/(-2)?
27
Let j(m) = m**2 - 31*m - 288. Suppose 0 = -2*t + 583 - 505. Let a(r) = r**3 + 8*r**2 - 2*r - 5. What is the remainder when a(-5) is divided by j(t)?
8
Let a = -766 + 819. Let q(r) = 3*r + 6. What is the remainder when a is divided by q(7)?
26
Suppose 10*h - 40 = 15*h. Suppose 2*w - k - 6 = k, 4*w - 3*k - 7 = 0. Calculate the remainder when w - -60 - (h + 7) is divided by 15.
14
Suppose 14*i - 2465 = -799. Calculate the remainder when 268 is divided by i.
30
Let f(h) be the second derivative of -16*h**3/3 - 165*h**2 - 4*h + 28. Calculate the remainder when 195 is divided by f(-11).
19
Let c(q) = -q**3 + 12*q**2 + 2*q + 179. What is the remainder when 1237 is divided by c(13)?
13
Suppose 6*d + 9*d - 25860 = 0. Suppose -846 = -2*k + 3*z + 2*z, -d = -4*k + 2*z. Calculate the remainder when k is divided by 62.
61
Suppose -882 = -2*p + y, -4*y - 395 + 1257 = 2*p. What is the remainder when p is divided by 85?
14
Let v(r) = r**2 + 2*r. What is the remainder when (-18)/4 + 2 + 392133/3682 is divided by v(5)?
34
Let i(z) = z**3 - 56*z**2 + 8*z - 428. What is the remainder when 113 is divided by i(56)?
13
Suppose 168 + 51 = -3*r. Let d = r - -148. Calculate the remainder when d is divided by 19 - (-3 + 3)/(-3).
18
Suppose 3*t = -2*f + 5909, -2*t + 11814 = 8*f - 4*f. What is the remainder when f is divided by 22?
5
Suppose -8*t + 20 = 4. Suppose 0 = -s - 2*s + 3, 5*r - t*s - 63 = 0. Calculate the remainder when r is divided by 7.
6
Suppose 321 = 66*p - 349 - 122. Calculate the remainder when 666 is divided by p.
6
Let s = -37 + 63. Let q = 393 - 391. What is the remainder when s is divided by -35 + 30 + 10*q?
11
Suppose 4*v - 13459 = -11*w, 13*v - 3*w + 13483 = 17*v. Calculate the remainder when v is divided by 19.
10
Suppose 27*x - 13155 - 777 = 0. Calculate the remainder when x is divided by 106.
92
Let r(a) = a**2 - 13*a + 69. Let i(l) = 21*l - 203. What is the remainder when r(5) is divided by i(10)?
1
Let b(s) = -s**3 - 16*s**2 - 4*s + 23. Let o(h) = -2*h**3 - 18*h**2 - 5*h + 22. Let i(j) = 4*b(j) - 3*o(j). What is the remainder when i(7) is divided by 26?
7
Let g(f) = 19*f + 70. What is the remainder when 1182 is divided by g(-2)?
30
Suppose 3*u - p - 40 = 0, 0*u = u + 4*p - 35. Let d(a) = -a**3 + 15*a**2 - a + 9. Let b be d(u). What is the remainder when 63 is divided by (-2 - 8/b)*-24?
15
Let g = -4715 + 4797. Calculate the remainder when 1721 is divided by g.
81
Suppose -4*q = 20, 2*a - 5211 = 4*q - 9*q. Let i be (6/(-4) - -1) + a/(-44). Let n = i - -75. Calculate the remainder when n is divided by 3.
0
Let m(v) = -2*v - 48. Let b be m(-26). Suppose 4*u - 804 = 4*n, -571 = -b*u + u - 5*n. Suppose u = x - 100. Calculate the remainder when x is divided by 50.
47
Let g = 667 + -507. Calculate the remainder when 2559 is divided by g.
159
Let h be ((-8)/12)/((-2)/9). Calculate the remainder when 126 is divided by 1/h + 2134/33.
61
Suppose -2*o = 2*s - 198, -4*s - 4*o = -5*s + 119. Let u(p) = p**2 - 24*p - 37. Calculate the remainder when s is divided by u(26).
13
Let h(i) = 12*i**2 + 55*i + 22. Let r = -17 + 45. What is the remainder when h(-6) is divided by r?
12
Suppose -r + 31 + 218 = 2*i, 4*i - 507 = r. Let f = -63 + i. Suppose -7*h + f = -161. Calculate the remainder when h is divided by 12.
8
Let f = 49 + 514. What is the remainder when f is divided by 81?
77
Let v be 6*1 - 18/(-9). Suppose -v*f + 4*n + 244 = -4*f, 4*f + n - 239 = 0. Suppose -433 = -3*l - 85. What is the remainder when l is divided by f?
56
Let k(x) = 73*x + 144. What is the remainder when k(2) is divided by 60?
50
Calculate the remainder when 539 is divided by -9 + 996/10 + (-108)/(-270).
84
Suppose 0 = -5*l + d - 17, 3 = -l + 3*d - 6. Suppose 4*r - 52 = 2*r. What is the remainder when r is divided by 0 - -13 - (l + 9)?
5
Let r(m) = -24*m**2 + 55. Let k(s) = s - 2. Suppose b = 2*d + 5, -b = -2*b + 4*d + 1. Calculate the remainder when r(0) is divided by k(b).
6
What is the remainder when 2329 is divided by 4760/(-544)*36/(-15)?
19
Suppose -1950 = 21*v - 8*v. Let o = -43 - v. What is the remainder when o + (-6)/(-18)*(3 + 9) is divided by 30?
21
Let o = -5888 + 5903. Suppose 590 = 3*v + 2*v. What is the remainder when v is divided by o?
13
Suppose -15916 - 8408 = -5*q - 2*w, 0 = 5*q - 3*w - 24364. Calculate the remainder when q is divided by 12.
8
Suppose 5*k + 4*z = 1488 + 1143, -4*z + 1062 = 2*k. What is the remainder when 1584 is divided by k?
15
Suppose 4*a = z + 377, -32 = 3*z - 17. Suppose 0 = -3*w - 2*w + 60. What is the remainder when a is divided by w?
9
Let f = 188 + -121. Let k = -3 - -7. Suppose 4*c = -16, -s - k*s = -5*c - 70. Calculate the remainder when f is divided by s.
7
Suppose 3*b = 6 - 0. Suppose -5 = -x - c, b*c + 3 = x - 8. Suppose -x*i - 11 = -8*i. What is the remainder when i is divided by 7?
4
Let r(h) = h**2 - 4*h - 4. Let a be r(8). Suppose -23*x + 565 = -a*x. Let p = -66 - x. What is the remainder when p is divided by 26?
21
Suppose 57*t = -2*w + 61*t + 150, -3*w + 228 = -3*t. Let y(c) = 3*c - 2. What is the remainder when w is divided by y(8)?
11
Suppose 3*k - 2*b - 176 = 0, 485