 -z**4/12 + 2*z**3/3 - 59*z. Let f = 1 + 2. Calculate the remainder when 10 is divided by o(f).
1
Suppose -5*v + 2*h - 33 = -8*v, 0 = -4*v - 3*h + 45. Suppose 23 = 5*f - f + m, 0 = 2*f + m - v. What is the remainder when 19 is divided by f?
5
Let y(d) = 29*d**2 + d + 1. What is the remainder when y(-2) is divided by 36*3*9/108?
7
Suppose 2*d - 4*p - 106 = 0, 8*d - 13*d - 4*p = -251. Calculate the remainder when 507 is divided by d.
48
Suppose -n = 5*y - 189, n + n = -4*y + 156. Let h = 1778 - 1758. What is the remainder when y is divided by h?
17
Let f = 2 + 20. Suppose 4*p + 27 + f = r, r = -2*p + 73. Let c = -11 + 28. Calculate the remainder when r is divided by c.
14
Let p(u) = 13*u**2 + 2*u - 1. Suppose -26*r = -20*r - 318. What is the remainder when r is divided by p(1)?
11
Suppose 5*g = 4*w - 6*w + 1801, -5*g + 2*w + 1789 = 0. Calculate the remainder when g is divided by 33.
29
Suppose 5*w - 4*y = 637, w + y = 128 + 3. Calculate the remainder when w is divided by 29.
13
Let t be ((-9)/(-27))/(1/339). Let a = t - 103. Calculate the remainder when a is divided by 5.
0
Suppose -m - 24 = -5*v, v - 24 = 5*m - 0*m. What is the remainder when 10 is divided by (2/v)/((-1)/(-14))?
3
Let x = 318 + -312. What is the remainder when 29 is divided by x?
5
Calculate the remainder when (4 - 2 - -74) + -2 + -2 is divided by 5.
2
Let x = 22 - 26. Let s(z) = -2*z**2 - 4*z - 6. Let l be s(x). Let w = l + 24. Calculate the remainder when 5 is divided by w.
1
Let o be (6 + 0)*(-12)/(-8). Suppose -303 = -o*j + 471. Calculate the remainder when j is divided by 30.
26
Suppose -4*j + 2*j = -18. Suppose 0 = -3*w + j - 3. Suppose 3*m + w*y = -m + 20, 3*y + 40 = 4*m. Calculate the remainder when 19 is divided by m.
5
Let c = 27314 - 27309. Suppose -2*q = -q - 67. What is the remainder when q is divided by c?
2
Calculate the remainder when (-3904)/(-10) + 64/(-160) is divided by 49.
47
Let m = 213 - 92. Let a = m - 13. Calculate the remainder when a is divided by 28.
24
Suppose -2*l + 4*z + 64 = 0, -4*l + 0*z - 4*z = -92. Let u be (-54)/(-4)*(4 + -2). Let d = u - 12. What is the remainder when l is divided by d?
11
Let o = -8 + 10. Let v(h) = h - 8 + 1 + 0*h**2 - o*h**2 + 3*h**2. What is the remainder when v(-5) is divided by 4?
1
Suppose 4 = -2*p - 2*p. Suppose -3*h = -4*h + 19. What is the remainder when h is divided by (p + 11)*96/80?
7
Let a(x) = 32*x + 40. What is the remainder when a(5) is divided by 69?
62
Let n = 10 - 7. Suppose 5*d + n*j - 57 = 0, -5*d + 4*j + 59 = 5*j. What is the remainder when d is divided by (6 - (-76)/(-12))*-15?
2
What is the remainder when -4 + (-3944)/(-88) - (-4)/22 is divided by -1 - 0 - (-36)/3?
8
Let d = 261 + -245. Calculate the remainder when 16 is divided by d.
0
Let w(z) = 13*z + 69. Suppose i - 96 = 3. What is the remainder when i is divided by w(-4)?
14
Let x be (-3)/24*2*-188. What is the remainder when -9 + 10 + (x - 1) is divided by 10?
7
Suppose 0 = 3*w + 186 - 1926. Suppose a + w = 5*a. Let t(n) = 28*n + 177. Calculate the remainder when a is divided by t(-5).
34
Suppose 20*z = 5*f + 18*z - 107, -25 = -f + 4*z. Calculate the remainder when 81 is divided by f.
18
Let t = -483 + 315. Let k = -103 - t. Let r(u) = u**2 - 2*u - 2. What is the remainder when k is divided by r(-4)?
21
Let p(k) = 2*k**2 + 3. Suppose -5*b = -2 - 38. Calculate the remainder when p(5) is divided by b.
5
Let d(f) = -f + 38. Let w be d(0). Suppose 44 = 10*o + 264. Let p = o + w. Calculate the remainder when 77 is divided by p.
13
Suppose m = -5*g + 2*m + 12, g = 5*m + 12. What is the remainder when 56 is divided by g?
0
Suppose -43 + 18 = -4*l + 3*h, 0 = 3*l - h - 25. Calculate the remainder when 559 is divided by l.
9
Suppose 258 - 676 = -11*s. Calculate the remainder when 43 is divided by -4 + 7 - (-4)/(8/s).
21
Let k(c) be the second derivative of c**4/12 - 5*c**3/3 - 13*c**2/2 - 18*c. Calculate the remainder when k(-5) is divided by 16.
14
Suppose h - 2*m + 1 = 10, 10 = 5*m. Let w(v) = v**3 - 31*v**2 + 41*v - 281. What is the remainder when w(30) is divided by h?
10
Let x be (-2)/(-14) - (-80)/28. Suppose -2*o - 4*w = -0*w - 38, 0 = -x*o - 5*w + 55. Calculate the remainder when o is divided by 6.
3
Let f(s) = -s**2 - 20*s - 17. Calculate the remainder when 184 is divided by f(-16).
43
Suppose -5*u - 3*c + 263 = -2*c, -4*u + 218 = -3*c. Let z = u - 47. What is the remainder when 17 is divided by z?
5
Let n(b) = 32*b - 150. Let z = -20 + 10. What is the remainder when n(5) is divided by 2/z + (-63)/(-15)?
2
Let g be ((-6)/10)/((-5)/75). Suppose g = -2*q - 5. Let t(c) = -c**2 - 8*c + 1. Calculate the remainder when 22 is divided by t(q).
6
Let i be (-55)/(-6) + (-2)/12. Suppose i = 3*l, -3*b + 4*l = l - 6. Suppose 2*d - b = 3. Calculate the remainder when d is divided by 1.
0
Suppose 101 = 3*t + 5*n, -7*n = t - 10*n - 15. Calculate the remainder when t is divided by 23.
4
Let s(w) = w**2 - 6 + 3 - 12*w - 3. Let p be s(10). Let r = p + 36. What is the remainder when 26 is divided by r?
6
Let o = -231 + 268. Calculate the remainder when 42 is divided by o.
5
Suppose 347 = 3*v + 218. What is the remainder when 298 is divided by v?
40
Let h = 49 + -11. Let i = 62 - h. Let l = i + -1. What is the remainder when l is divided by 8?
7
Let k = 707 - 599. Calculate the remainder when k is divided by 53.
2
Calculate the remainder when 4*(308/32 + -3)*6 is divided by 9.
6
Let j(y) = -2*y - 4. What is the remainder when 10 + 3 + -6 + 13 is divided by j(-5)?
2
Calculate the remainder when 3218/14 + (-306)/357 is divided by 29.
26
Suppose -4 = -6*g - 118. Let r = 168 + g. What is the remainder when r is divided by 8?
5
Suppose 8*i = 6*i + 6. Suppose 5 = i*w - 1, -4*s = -w - 426. What is the remainder when s is divided by 36?
35
Let b = -21 + 44. Let f be (20/12)/(-4*1/(-12)). Suppose 0 = -4*a - y + 112 + 156, 2*a + f*y - 152 = 0. Calculate the remainder when a is divided by b.
20
Let m(i) = 2*i + 97. Let h be m(-30). Let n = h - -17. Calculate the remainder when n is divided by 11.
10
Suppose 19 = -2*c - 17*c. Calculate the remainder when 181 is divided by (-26)/6*(0 - c)*-6.
25
Let d be -142*(15/(-6) - -1). Suppose -f = -a - 66, -3*f + a + d - 25 = 0. Calculate the remainder when f is divided by 8.
5
Suppose 0*d = -5*d + 10. Suppose -d*i - 3*i + 15 = 0. Let j = i - -31. Calculate the remainder when j is divided by 12.
10
Let q(g) = 9*g - 4. Let t(c) be the second derivative of -4*c**3/3 - 5*c**2 - 2*c. Calculate the remainder when t(-6) is divided by q(2).
10
Suppose -3*q - 2*q + 47 = -2*k, -3*q = 5*k - 53. Let j = 34 - q. Suppose -11 = -5*x + 319. What is the remainder when x is divided by j?
20
Suppose 2*y - 52 = -3*y - 4*p, -y - p = -10. Suppose 0 = -4*d - 0 + 180. What is the remainder when d is divided by y?
9
Let c(z) = z**3 + z**2 - z - 8. Let f be c(0). What is the remainder when (-2)/((f + 3)/95) is divided by 10?
8
Let g = 239 + -138. Let a = g - 79. What is the remainder when 107 is divided by a?
19
Let x = -234 + 251. What is the remainder when x is divided by 6?
5
Let g = -396 + 497. Calculate the remainder when g is divided by 30.
11
Suppose 43*n + 1434 = 46*n. What is the remainder when n is divided by 96?
94
Suppose 1059 = 18*r - 345. What is the remainder when r is divided by 16?
14
Calculate the remainder when 69 is divided by (-7)/((-7)/5) + 20.
19
Let m be 980/36 + 2/(-9). Suppose 0*v = 3*v - m. Calculate the remainder when v is divided by 6.
3
Let i = 25 - -5. Suppose -4*l - 3*b = -2*l - 51, 3*b = 2*l - 81. Suppose 4*x = 7*x - l. What is the remainder when i is divided by x?
8
Suppose 44 = 7*i - 6*i. Suppose 7*x = 5*x. Suppose -45 = -3*r - x*r. Calculate the remainder when i is divided by r.
14
Suppose 2*n + 15 - 3 = -w, -25 = 5*w + 3*n. Calculate the remainder when 90 is divided by ((8 - w) + -7)*46/6.
21
Suppose -5*m = 175 - 515. Calculate the remainder when m is divided by 32.
4
Suppose 0 = s + 105 - 747. What is the remainder when s is divided by 54?
48
Suppose 512 = 2*n - b - 4*b, -5*b + 271 = n. Calculate the remainder when n is divided by 52.
1
Let r(l) = -6*l**3 + 17*l**2 - 2*l + 3. Let g(t) = 7*t**3 - 18*t**2 + t - 4. Let s(f) = 5*g(f) + 6*r(f). Calculate the remainder when 209 is divided by s(11).
41
Let o(r) = 7*r**2 - 2*r +