Suppose 3*p - p - x - 517 = 0, 5*p + x - 1310 = 0. Let k = -97 + p. Suppose k = 8*c + 36. What is the remainder when 59 is divided by c?
11
Let u(o) = 7*o**2 - 215*o - 91. What is the remainder when u(32) is divided by 8?
5
Let r(q) = 2*q**2 - 189*q - 3901. Calculate the remainder when 260*((-2)/4)/(-1) is divided by r(112).
16
Let x(g) = -g**3 - 10*g**2 + 2*g + 27. Suppose -z + 12 = -v, -z + 36 = -3*v + 4. What is the remainder when 4/10 + (-543)/(-5) is divided by x(v)?
4
Let i(q) = 3*q**3 - 2*q**2 - 6*q - 2. Let w be i(3). Suppose -187 - w = -5*f. Calculate the remainder when f is divided by 2/13 + (-620)/(-26).
22
Suppose -d + c - 5 = 0, -9 - 12 = 4*d - 5*c. Let y be 1/(d + 0) + (-130)/(-8). Let n = 24 - y. What is the remainder when n is divided by 4?
0
Let b be (-46)/(-2*2/2)*3. Suppose 3*p = -27 + b. Calculate the remainder when 950 is divided by p.
12
Suppose 0 = 1655*w - 1642*w - 321 - 3410. Calculate the remainder when 305 is divided by w.
18
Suppose 4*t - 83 = -3*n, 3*t - 50 = -4*n + 63. Suppose -3*h - 98 = 124. Let f = -54 - h. What is the remainder when n is divided by f?
9
Suppose 0 = -18*t - 39 - 33. Let c(u) = -u**3 - 21. What is the remainder when c(t) is divided by 2 - (-1)/((-1)/(-10))?
7
Let t(h) = -4*h**2 + 5*h + 21. Let r be t(-6). Let g = 159 + r. Calculate the remainder when 9 is divided by g.
3
Let b(r) = -2*r**3 + r**2 - 24. Suppose -4*x - 16 = -i, 20 = -5*x - 0*x - 2*i. Calculate the remainder when b(x) is divided by 43.
34
Suppose 0 = 5*o - x - 296, -26*o - 3*x + 132 = -24*o. Calculate the remainder when 353 is divided by o.
53
What is the remainder when -3 + 858 - (-36 + 30)*(-2)/4 is divided by 14?
12
Suppose -13*x + 15*x + 2380 = -3*j, 0 = -3*j + 4*x - 2386. Let m = j - -922. What is the remainder when m is divided by 65?
63
Let n be -2 + (-4)/(-7) + 18/42. Let k = 18 - n. Let f = k + -6. Calculate the remainder when 63 is divided by f.
11
Let o(c) = 2*c - 7. Let x be o(5). What is the remainder when 6/9 - (-307)/x is divided by (21/(-14))/((3/(-24))/(78/36))?
25
Suppose 12*v = -57 + 93. Suppose n - v*s - 6 = 0, 4*s + 9 + 7 = 4*n. Calculate the remainder when 185 is divided by n.
2
Let c = 51192 - 51148. Let q = -9 + 19. What is the remainder when c is divided by q?
4
Let a(o) = -o**2 - 23*o - 52. Let h = -80 + 70. Calculate the remainder when a(h) is divided by 8.
6
Calculate the remainder when 814 is divided by (-24 - -220) + (18 - 35).
98
Let p = -3472 + 7303. Calculate the remainder when p is divided by 20.
11
Let m = 22478 - 22283. Calculate the remainder when 601 is divided by m.
16
Let k = -975 - -999. Suppose 46 = -2*m + 212. Calculate the remainder when m is divided by k.
11
Let p(x) be the second derivative of -x**3/6 - 9*x**2 - x. Let a be p(-15). Calculate the remainder when a + 4 + 2 - 762/(-6) is divided by 33.
31
Let a(l) = 4*l**2 + 4*l - 4. Let i(n) = -18*n + 564. Let q(c) = 5*c - 141. Let o(v) = -2*i(v) - 9*q(v). Calculate the remainder when a(6) is divided by o(12).
32
Suppose 4*c = -h + 11753, -4*c - 48*h + 51*h + 11733 = 0. Calculate the remainder when c is divided by 24.
9
Let d = -16 + 32. Let z be (5/(-2) - 1/(-1))*-2. Let q = d + z. Calculate the remainder when 74 is divided by q.
17
Suppose 0 = -18*x + 10*x + 312. Suppose 0 = 3*f + 63 - 87. What is the remainder when x is divided by f?
7
Let l = 9269 + -8504. What is the remainder when l is divided by ((-1)/(-3))/((-4)/(-708))?
57
Let c be (198/10)/(-3)*-5. Suppose 2*u - 4*i + 17 - 119 = 0, -2*u + 2*i + 92 = 0. Let p = c + u. Calculate the remainder when p is divided by 19.
17
What is the remainder when 95 is divided by (-2)/(10 + -9 + 581/(-567))?
14
Calculate the remainder when ((-35865)/(-75))/((-27)/(-45)) is divided by 100.
97
Let d = -171 - -196. Suppose 4*n + 4*t - 36 = 56, n - d = -3*t. What is the remainder when 167 is divided by n?
13
Let z = -116 - -300. Let p = -128 + z. Calculate the remainder when 153 is divided by p.
41
Let p = -308 + 329. Let d(g) = 19*g - 339. What is the remainder when 177 is divided by d(p)?
57
Suppose -3*x + 250 = -2*s, 5*s = -3*x + 1751 - 1473. Suppose 0 = 2*t + 3*t + 10, 5*t = -3*b + 158. What is the remainder when x is divided by b?
30
Suppose 14*a - 114*a + 124043 - 10543 = 0. Calculate the remainder when a is divided by 124.
19
Let r(m) = 22*m**2 + 13*m - 23. What is the remainder when r(4) is divided by 55?
51
Suppose -464 + 3584 = -369*b + 399*b. What is the remainder when 1067 is divided by b?
27
Let z(k) = -k**3 - 51*k**2 - 40*k + 542. What is the remainder when 163 is divided by z(-50)?
37
Let b be 3/12 + (-22)/(-8). Let u = 23 + b. What is the remainder when -22*-4*98/112 is divided by u?
25
Suppose -4*i + 8*i = 3*s - 23, 3*s + 4*i - 31 = 0. Suppose -4*m - 1 + s = 0. Suppose 3 = -m*c + 13. What is the remainder when 13 is divided by c?
3
Calculate the remainder when -2351*2/(-12) - (-288)/1728 is divided by 12.
8
Let m = 7888 + -7728. Calculate the remainder when m is divided by 28.
20
Let m(a) = 3*a**2 + 14*a. Let g(z) = -1. Let q(n) = -3*g(n) + m(n). Calculate the remainder when 51 is divided by q(-6).
24
Let y = -269 - -269. Suppose 2*d + y*f - 103 = -f, -101 = -2*d + f. Calculate the remainder when 146 is divided by d.
44
Let o(w) = 4*w - 22. Let g be o(7). Suppose 1964 = g*v + 242. Calculate the remainder when v is divided by 29.
26
Let b = -4643 + 4691. Calculate the remainder when 2781 is divided by b.
45
Suppose 3*g - 94 = -2*a, -2*a = -a - 5. Let m be (3 - 4)/((-7)/84). What is the remainder when g is divided by (-90)/m*24/(-15)?
4
Let b(n) = n**3 - n**2 + n + 10. Suppose -108 = k - 2*y - 450, 0 = -5*k + 5*y + 1710. Let h = -338 + k. What is the remainder when b(0) is divided by h?
2
Let f = 18829 + -18514. Calculate the remainder when 6296 is divided by f.
311
Let i(o) = -2*o**3 + 17*o**2 + 10*o + 42. Let t = -47 + 121. What is the remainder when t is divided by i(9)?
23
Let t be 1388/10 - (96/20 + -5). Let c = t + -65. What is the remainder when c is divided by 27?
20
Suppose -5050 = -65*v + 40*v. Calculate the remainder when v is divided by 52.
46
Suppose 3022 = 41*j + 85*j - 1892. Calculate the remainder when 189 is divided by j.
33
Let g be (1 + 0)*(-6655)/(-11). Let j = 610 - g. Calculate the remainder when 17 is divided by j.
2
Suppose 614 - 184 = 5*h. Let a = h - 32. Calculate the remainder when a is divided by 8.
6
Suppose -5*x + 2147 = -3*i, -x + 78 = i - 345. What is the remainder when 944 is divided by x?
90
Suppose 4*b - 27 = -3*o, 2*b - 9 = 2380*o - 2383*o. What is the remainder when 1242 is divided by b?
0
What is the remainder when 1069 is divided by (60 + 439)*(4 + -7 + (-16)/(-4))?
71
Let g(t) = 143*t - 260. Calculate the remainder when g(2) is divided by 16.
10
Let v(l) = -l**3 - 20*l**2 - 92*l - 625. What is the remainder when v(-19) is divided by 171?
78
Let a(c) = 7*c. Suppose -5*w = 204 - 54. Let u = -27 - w. What is the remainder when a(u) is divided by 4?
1
Let s = -51 + 54. Suppose 1 = -u - 2*k, -3*k = -s*u + 6*u. What is the remainder when (430/4 - u) + (-1)/2 is divided by 12?
10
Let o = -161 + 201. Let y = o - -34. What is the remainder when y is divided by 21?
11
Suppose -21*q = -24*q - w + 46, 4*q + 2*w = 60. Suppose 195 + 363 = 9*t. Calculate the remainder when t is divided by q.
14
Let y be (-3)/(-2)*(-56)/(-21). Suppose y*p - 78 - 46 = 0. Calculate the remainder when p is divided by (33/2)/(27/18).
9
Suppose -2*g + 2594 = 4*z, -5*z + 472 = 5*g - 2753. Calculate the remainder when z is divided by 207.
31
What is the remainder when 71 is divided by (-58)/754 - 5*-17*4/26?
6
Let z(h) be the second derivative of 0 - 7/6*h**3 - 3/2*h**2 - 10*h + 1/2*h**4 + 1/20*h**5. Calculate the remainder when z(-5) is divided by 30.
27
Suppose -22 - 17 = -5*n + 3*u, 5*n - 2*u - 36 = 0. Let w(v) = 2*v**2 + 12*v - 20. Calculate the remainder when w(n) is divided by -6*(-5 - 2)*1.
40
Suppose 0 = -l - 3*s - 128 + 157, 0 = -5*s + 10. Calculate the remainder when 278 is divided by l.
2
Let k = 16153 - 15846. What is the remainder when 6446 is divided by k?
306
Let r(y) = y**3 - 27*y**2 + 27*y - 23. Let f be r(26). Suppose 0 = 2*i + f*i - 165. What is the remainder when i is divided by 12?
9
Suppose -16 = -3*w + 218. Suppose 2*h - 235 = -63. Suppose 0 = -4*c + 22 + h. W