divided by 56?
5
Let h = 5 + 3. Let k = -206 + 248. Calculate the remainder when -6 + k + -1 + 3 is divided by h.
6
Let h(n) = 2*n**2 + 127*n + 1451. What is the remainder when 540 is divided by h(-13)?
126
Let g = 99 + -9. Let x = 64926 - 64919. What is the remainder when g is divided by x?
6
Suppose -44*n - 51 = -3*p - 41*n, -n - 56 = -4*p. Calculate the remainder when 233 is divided by p.
12
Suppose -18*g + 2317 + 59 = 0. What is the remainder when g is divided by 41?
9
Suppose 6*k + 33 = c + 3*k, 2*c - 3*k - 69 = 0. Let f be (-4)/(4/(-493)) + 1 + 1. Let b = f - 352. What is the remainder when b is divided by c?
35
Suppose -7412*a = -7402*a - 7330. Calculate the remainder when a is divided by 87.
37
Let i(p) = -p**2 - 151*p + 3829. Let n(q) = q**3 - 8*q**2 - 2. Let v be n(8). Calculate the remainder when i(22) is divided by (-60)/(-9) + v/3.
5
Suppose -5*b + 8*b + 4*c = -34504, 0 = -3*c + 15. Calculate the remainder when (2*10/(-8))/(685/b) is divided by 4.
2
What is the remainder when (2 + 14/(-5))*((-2576)/16 - 29) is divided by 61?
30
Suppose 0*c + 76 = -2*c. Let p = c + 42. Suppose 0*o + 8 = -2*o, o = -p*n + 112. What is the remainder when 86 is divided by n?
28
Suppose 38*a - 65094 = -19*a. Calculate the remainder when a is divided by 571.
0
Suppose 94*b = 95*b + 9*k - 12, 3*b - 36 = 2*k. What is the remainder when 1500 is divided by b?
0
Let k = -542 + 545. Let x(f) = 12*f**2 + 2*f - 5. Calculate the remainder when x(k) is divided by 40.
29
Let f be -4*(1/(-2) + 0). Suppose 3*x = -0*x + 171. Calculate the remainder when x is divided by -1*f*(-46 + 31).
27
Suppose 0 = -12*g - 32111 + 32375. Suppose -r - j + 124 = 0, -3*r - 2*j + 392 = -4*j. Calculate the remainder when r is divided by g.
18
Let l = 2234 + -2229. What is the remainder when 34 is divided by l?
4
Suppose -8 = -4*y, c + 5*y + 532 = -c. Let t = c + 507. Calculate the remainder when (t/6)/((-2)/(-6)) is divided by 24.
22
Suppose -4*b = -5*k - 0*k - 57, 5*k = -b + 8. Suppose -b*g = -8*g - 360. Calculate the remainder when g is divided by 15.
12
Suppose -8*o + o = -42. Let h(c) = -c**3 + 8*c**2 - 5*c - 5. Let q be h(o). Suppose 43 - q = t. What is the remainder when 22 is divided by t?
4
Let d(c) = 2*c + 31. Let y be d(20). Suppose 0 = r + 25 - y. What is the remainder when r is divided by 25?
21
Suppose -6 = 2*s + y - 303, -5*y = s - 144. Calculate the remainder when 644 is divided by s.
48
Let j = 86 - 82. Suppose 223 = 4*p - r, -p + 0*r + 37 = -j*r. What is the remainder when p is divided by 23?
11
Suppose 3*u - 228 = -35*u. Suppose -4*v + y = -319, -5*y = -5*v + 109 + 286. Suppose -u*o + 7*o - v = 0. Calculate the remainder when o is divided by 9.
8
Let g(d) = -3*d**3 + d. Let q(m) = 16*m**3 - 73*m**2 - 42*m + 122. Let z(p) = 6*g(p) + q(p). What is the remainder when z(-36) is divided by 6?
2
Suppose 0 = 25*t - 0*t - 50. Calculate the remainder when 126 is divided by (-8)/t - (-296)/(4 - -4).
27
Suppose 17*w - 3493 - 3256 = 0. What is the remainder when w is divided by 27?
19
What is the remainder when 7 - ((-14240)/100 - (-6)/15) is divided by 28?
9
Suppose -5*b + 116 = -4*z, -21788*z + 21784*z = 4*b - 172. Let h(r) = r**3 + 2*r**2 - 4. Calculate the remainder when h(4) is divided by b.
28
Let p = -71 - -135. Let d = 29800 - 29778. What is the remainder when p is divided by d?
20
Let k = -724 + 745. Let n = 136 - 92. Calculate the remainder when n is divided by k.
2
Suppose -8*i + 663 + 73 = 0. What is the remainder when 166 is divided by i?
74
Suppose -52 = -7*a + 6*a. Let b = 17 - 18. What is the remainder when a is divided by (-3)/(b/3*1)?
7
Suppose -9164 = -75*w + 1578 - 1367. Calculate the remainder when w is divided by 18/4*(-168)/(-18).
41
Suppose 14*o - 959 - 413 = 0. Calculate the remainder when 7838 is divided by o.
96
Let g(j) = -113*j + 1780. What is the remainder when 783 is divided by g(14)?
189
Let c(v) = -9*v - 84. Let g be (6/4)/(-6 - (-660)/112). What is the remainder when 77 is divided by c(g)?
35
Let q be 2616/(-132) - ((-48)/(-22) - 2). Let b = q - -12. Let i(u) = -u**2 - 10*u - 6. Calculate the remainder when 25 is divided by i(b).
5
Let r be (-242)/33 + 8 + 823/3. Let z = r - 218. Calculate the remainder when z is divided by 22.
13
Let w = -39142 - -39364. Calculate the remainder when 3328 is divided by w.
220
Let f(p) = 36*p**2 - 2*p - 6. Let g be f(-3). Suppose -4*s + g = -0*s. Calculate the remainder when s is divided by 22.
15
Let i = 12450 + -12439. What is the remainder when 29819 is divided by i?
9
Let m(p) be the first derivative of 9*p**2 + 5*p - 233. Suppose 2*g = 12 - 4. What is the remainder when m(g) is divided by 13?
12
Suppose 4*q - 3*n - 1270 = 0, -4*n = 4*q - 2*n - 1280. Calculate the remainder when q is divided by 2/((-2)/(-2)) - 558/(-9).
63
Let z(w) = 5*w**3 - 10*w**2 + 47*w + 10. Calculate the remainder when z(11) is divided by 65.
57
Suppose 2*c + 2*k - 7 = -3*k, 3*c - 2*k - 58 = 0. Calculate the remainder when (-204)/51 - 344/(-2) is divided by c.
8
Let v(f) = -2*f**3 - 64*f**2 - 15*f - 210. Calculate the remainder when 1878 is divided by v(-32).
258
Calculate the remainder when (9/((-18)/(-1628)))/2 is divided by 10/25*((-25)/(-5) + 40).
11
Suppose 3*a - n - 2192 + 778 = 0, -2*n - 1886 = -4*a. What is the remainder when a is divided by 19?
15
Let o(l) = l + 126. Suppose 0*n = -5*n + 55. Calculate the remainder when o(-106) is divided by n.
9
Let g(l) = -l**3 - 2*l**2 + 261*l + 51. Calculate the remainder when g(-18) is divided by 274.
263
Suppose 73*k = -1795 + 2452. Let n = -2 + 2. Suppose 102 = -n*i + 2*i. What is the remainder when i is divided by k?
6
Let a = 10268 + -10213. What is the remainder when 112 is divided by a?
2
Let m = -1199 - -1609. What is the remainder when m is divided by 138?
134
Let g be 45/(-4 - 45/(-10)). Suppose 7*z = -2*z + g. What is the remainder when 14 is divided by z?
4
Let v(o) = 2*o**3 + 15*o**2 - 3*o - 4. Suppose 4*a = -0*g - 3*g - 37, g + 38 = -5*a. Let c = 256 - 239. What is the remainder when v(a) is divided by c?
15
Suppose -4*g + 32 + 56 = 0. Suppose 0 = -g*u + 6428 + 11722. Calculate the remainder when u is divided by 23.
20
Suppose 7*c + 90 = 4*c. Let w = -22 - c. Suppose -4*f = -2*k - w, -f + k = 2*f - 7. Calculate the remainder when 14 is divided by f.
2
Suppose -23*j + 204 = -6*j - 13*j. Calculate the remainder when 208 is divided by j.
4
Suppose -w + 5*w = 8. Suppose -r + w = -2, -4*r = s - 274. Suppose 2*o - s = -4*g, -3*g + 144 + 52 = o. What is the remainder when g is divided by 23?
21
Let a = 25 - 17. Let d(t) = -12*t + 171. Let h be d(14). Suppose 0 = -5*v + 5*i + 125, -3*v - h*i + 51 = -0*i. What is the remainder when v is divided by a?
5
Let d(c) = 6*c - 329. What is the remainder when 2247 is divided by d(59)?
22
Let j(g) = 54*g + 609. Calculate the remainder when j(0) is divided by 4.
1
Suppose 63*v = 9*v + 1566. Let l be (-1 - -3) + -2 + 35. Let c = l - v. What is the remainder when 9 is divided by c?
3
Suppose 1196 = 5*w + r, -r = -w - w + 477. Let d(v) = 30*v - 2510. What is the remainder when w is divided by d(85)?
39
Suppose -4*c + 2 = 2*d, 22 = c + 5*d - 1. Let o = 11 + c. What is the remainder when 53 is divided by o?
8
Suppose 0 = -42*y + 9132 + 15984. What is the remainder when y is divided by 20?
18
Let p(t) = -7*t**3 + t**2 - 3*t - 3. Let c be p(-1). What is the remainder when 141 is divided by c/2 + 1*36?
21
Let g = 146 - 139. Suppose 5*f = -g*f + 900. What is the remainder when f is divided by 19?
18
Suppose 0 = 4*r - 15 - 9. Let c(m) = -8*m - 26. Suppose -2*h - 2*f - 18 = -6*f, -3*h + 4*f = 23. Calculate the remainder when c(h) is divided by r.
2
Suppose w + 420 = g + 111, 0 = 3*g - 5*w - 929. Let z = g - 216. What is the remainder when z is divided by 39?
14
Let h(a) = -a**3 + 105*a**2 + 5*a - 267. What is the remainder when h(105) is divided by 19?
11
Let n = 67 - 59. Suppose 9*j = 5*j + 12. Calculate the remainder when (3/(-6))/(j/(-180)) is divided by n.
6
Let t(r) = -19*r - 72. What is the remainder when (-11)/(-2)*462/363 is divided by t(-4)?
3
Let x = 2856 + 430. Calculate the remainder when x is divided by 12.
10
Let b(p) = -p**3 - 8*p**2 + 2*p + 19. Let j be b(-8). Let l be 1/(-2) + j/(-6) + 1. Let s = l - -23. Calculate the remainder when 114 