 Calculate the remainder when 39 is divided by c.
3
Suppose q + 12 = -4*q + 2*z, 3*z = 3. Suppose -2*y - 2*j = -38, -5*j - 21 = -4*y + 55. Let b = q + y. What is the remainder when b is divided by 9?
8
Suppose 8*y - 135 = 25. Suppose 4*s + 12 = 0, -3*s + 7*s - 384 = -4*m. Calculate the remainder when m is divided by y.
19
Let l = -790 - -415. Let d = 411 + l. Calculate the remainder when d is divided by 15.
6
Suppose 1292 = 5*v - n - 298, v + 2*n - 329 = 0. Calculate the remainder when v is divided by 18.
13
Let s(h) = -h**2 + 9*h - 9. Let w = 253 + -247. What is the remainder when 40 is divided by s(w)?
4
Suppose 501*s - 792519 - 1087734 = 0. Calculate the remainder when s is divided by 1250.
3
Let c(y) = y**3 - 4*y**2 + 2*y + 1. Suppose 5*d - 3270 = 80. Let x = d + -637. Calculate the remainder when x is divided by c(4).
6
Let g = -39 - -62. Suppose -2*v + 6 = -58. Suppose -5*u + v = -2*r - 30, r - g = -2*u. What is the remainder when u is divided by 3?
0
Let m(j) = 2*j**2 - 2*j. Let q(l) = 564*l + 8482. What is the remainder when m(-6) is divided by q(-15)?
18
Suppose 4*a = 4*y - 104 - 24, 5*y + a = 190. Let s(o) = o**3 - 4*o**2 - o + 3. What is the remainder when y is divided by s(5)?
14
Let s(w) = 2*w**2 + 669*w + 12638. Let d = -83 + 49. Let c = d - -54. Calculate the remainder when s(-20) is divided by c.
18
Let q(r) = -r**3 - 15*r**2 + 56*r + 62. Suppose -48 = 3*d - 2*t, 1 = 5*t + 16. What is the remainder when 180 is divided by q(d)?
24
Let s be 1/(1/42*-1). Suppose -2*c - 79 = -37. What is the remainder when 100 is divided by 24/s - 726/c?
32
Let x(k) = 36*k - 183. Let h(n) = 35*n - 178. Let t(u) = -6*h(u) + 7*x(u). What is the remainder when 229 is divided by t(6)?
34
Calculate the remainder when 99/(2 - -9) - -312 is divided by 111.
99
Suppose 2*u + 3*m = 1106, -19*m + 24*m = 4*u - 2190. Calculate the remainder when u is divided by 28.
18
Let h = 561 + 181. Calculate the remainder when h is divided by 83.
78
Suppose -1 = -v, 0 = 4*l + 83*v - 81*v - 3858. Calculate the remainder when l is divided by 14.
12
Suppose 12*f - 8960 = 3*f - f. What is the remainder when f is divided by 69?
68
Suppose -a + 1194 = -f, -2*f = -3*f. What is the remainder when a is divided by 28?
18
Let v(l) = 535*l - 1103. What is the remainder when v(3) is divided by 157?
31
Let p(s) = 3*s**2 + 18*s - 2. Calculate the remainder when 265 is divided by p(4).
29
Let f be 6/15*20 + 204. Suppose -176 = -4*k - 2*c, -4*k - 48 + f = -4*c. Calculate the remainder when k is divided by 31.
12
Suppose -28912 + 6232 = -154*z + 94*z. What is the remainder when z is divided by 177?
24
Suppose 0 = -169*m + 202*m - 26037. Calculate the remainder when m is divided by 72.
69
Suppose 12*p + 876 = -2328. What is the remainder when (p/(-6) - -2)/(10/20) is divided by 16?
13
Let q(f) = -2*f**3 - 3*f**2 + f - 1. Let t be 10 + (1 - 12/(-4)). Calculate the remainder when q(-3) is divided by 1/(21/t)*9.
5
Suppose 2*r - 5*z = 462, 17*r - 16*r = 4*z + 225. Calculate the remainder when r is divided by 11/(-33)*(-82 - -1).
25
Let d = -2388 - -2483. What is the remainder when 1044 is divided by d?
94
Suppose -16 = -194*l + 190*l, -4*i + 2*l + 360 = 0. Calculate the remainder when 464 is divided by i.
4
Let u = -28 + 44. Suppose 32*v + 592 = -42*v. Let w = u - v. Calculate the remainder when 118 is divided by w.
22
Suppose m - 15 = 5*i + 53, 0 = 2*i + 10. Let q(c) = -c**3 - c**2 + c + 169. Calculate the remainder when q(0) is divided by m.
40
Let y = 10 - 4. Calculate the remainder when (-38)/(532/(-630)) + -10 is divided by y.
5
Let m(g) = -g**2 - 13*g + 66. Let c be (-8)/92 - (-4920)/(-552). What is the remainder when m(c) is divided by 23?
10
Let s(o) = -13*o**3 + 2*o**2 + 7*o + 5. Let u be s(-2). Let h = 18 + u. Calculate the remainder when h is divided by 34 - (2 + (0 - (0 - 1))).
28
Suppose 0 = -15*v + 10*v + 4*l + 201, -3*v + 141 = l. Calculate the remainder when 172 is divided by v.
37
Suppose 306 = 4*t + 3*o + 3*o, -t + 5*o = -44. Suppose 2*j = 6*j + 12, 2*j + 9 = d. Let i = d - -11. What is the remainder when t is divided by i?
13
Calculate the remainder when 43/(1505/15190) - 16/(-2) is divided by 29.
7
Suppose 11*r - 8656 + 1627 = 0. Suppose -15*f - r = -18*f. Calculate the remainder when f is divided by 31.
27
Suppose 5*f = -14 + 94. Let q = -6817 - -6836. What is the remainder when q is divided by f?
3
Let l(q) = -2*q + 34. Let m = 4166 + -4117. What is the remainder when m is divided by l(10)?
7
Let a(n) = 7*n - 21. Let o = -63 + 30. Let j = 39 + o. What is the remainder when a(j) is divided by 6?
3
Let w = -6028 - -6226. What is the remainder when w is divided by 130?
68
Let r be (-6)/(5 - 51/9). Let z(o) = -o**3 + 7*o**2 + 23*o - 16. Let t(h) = 64*h**2 - 2*h. What is the remainder when t(-2) is divided by z(r)?
28
Let s be (-12)/(2/3*-2). Calculate the remainder when (0 + -1)*s/((-9)/203) is divided by 34.
33
Suppose -3*o = -4*j + 4722, 4730 = 62*j - 58*j + o. Calculate the remainder when 1195 is divided by j.
13
Let o be 15/4 + (-24)/(-96). Let k be 6/3*10/o. Suppose -71 = -k*j + 224. What is the remainder when j is divided by 12?
11
What is the remainder when 1313 is divided by ((-69)/(-46))/((-18)/(-708))?
15
Let c(m) = 5*m**2 + 2*m - 5. Let x = -44301 + 44311. Calculate the remainder when c(-4) is divided by x.
7
Let k be 6*5/45 - (-3558)/9. Suppose -2*c - 3*m = -k + 129, 0 = 4*c - 3*m - 543. Calculate the remainder when c is divided by 47.
41
Let p(a) = 7*a**2 + 2*a + 9. Let c = -590 + 599. What is the remainder when p(-3) is divided by c?
3
Suppose 4*g = -3*c + 1004, 31 = 4*g + c - 965. What is the remainder when g is divided by 25?
23
Suppose -a - 4*p + 158 = 0, 24*a - p = 21*a + 461. What is the remainder when 776 is divided by a?
6
Let n = 6317 + -6238. What is the remainder when n is divided by 34?
11
Let m = 159 + -157. Calculate the remainder when (-16)/10 + m - (-1505)/175 is divided by (-2)/(-7) - 24/(-14).
1
Let u(g) = 20*g. Suppose 5*l = -35, 80*n - 2*l = 82*n - 138. What is the remainder when n is divided by u(2)?
36
Let y(m) = 26*m - 413. Suppose i - 5 = -2. Suppose -5*d + 4 = -i*d. Calculate the remainder when y(16) is divided by d.
1
Suppose 116*j - 1173 = -135*j + 228*j. Calculate the remainder when 963 is divided by j.
45
Let s = 1839 - 1814. What is the remainder when 197 is divided by s?
22
Let d(s) be the second derivative of -3*s**5/5 + s**4/6 + 5*s**3/6 + 2*s**2 + 7*s - 3. What is the remainder when d(-3) is divided by 37?
35
Let p be 32/6 + (-1)/3. Suppose 3*y - 36 = -4*d, -d - p*y = 3*d - 36. What is the remainder when 11 is divided by d?
2
Let p(i) be the second derivative of -i**4/12 + 17*i**3/6 + 17*i**2/2 + 17*i + 1. Calculate the remainder when 177 is divided by p(8).
88
Let a be 28/(-48)*-6*110. Suppose -5*o + a = -760. What is the remainder when o is divided by 58?
55
Suppose 0 = 3*z - 2*r - 32, -4*r + 136 = -z + 150. Suppose -349 + 115 = -6*q. Calculate the remainder when q is divided by z.
9
Let h = 3095 + -3067. What is the remainder when 47 is divided by h?
19
Let x(j) = j**2 + 11*j - 43. Let o be x(-14). Let m be 2*(15 + -3 + (-4)/o). Suppose -7*d + 59 = -m. Calculate the remainder when 76 is divided by d.
11
Let g(p) = -p**2 - 4*p + 90. What is the remainder when 61 is divided by g(5)?
16
Suppose 0*n - 4*h + 695 = 5*n, 0 = h + 5. Suppose -144 = 102*z - 110*z. What is the remainder when n is divided by z?
17
Let m = -1 - -40. Let w be ((-8)/20)/(2/10). Let n(y) = -7*y + 7. What is the remainder when m is divided by n(w)?
18
Let k(w) = -w**3 + 22*w**2 - 100*w + 3. Calculate the remainder when 151 is divided by k(7).
37
Suppose 10*n = 5*n + 30. Suppose 41*x - 5579 = -1028. Calculate the remainder when x is divided by n.
3
Suppose -9 = 2*a - 15. Suppose -2*w = a*k - 122, -5*w = 5*k - 55 - 140. Calculate the remainder when 85 is divided by k.
41
Let u = 16265 - 15620. What is the remainder when u is divided by 48?
21
Suppose 0 = -16*l + 10*l + 1152. Suppose 10*f = 3*f + 455. Calculate the remainder when l is divided by f.
62
Let n be (9/(-6))/((-4)/(-24)). Let i(y) = -y**3 - 9*y**2 - y + 2. Let f = -2453 - -2474. Calculate the remainder when f is divided by i(n).
10
Suppose -6*h = -2*h. Suppose -2*s - 41 = -5*l - 6, h = s + 5. Suppos