0, -u = 2*z - 10. Suppose 0 = u*y - 10 - 30. Calculate the remainder when 38 is divided by y.
8
Calculate the remainder when -543*(6 + 80/(-12)) is divided by 92.
86
Let t(o) = -11*o + 3. Suppose -5*f = 3*p - 4, 0 = 2*f - 3*p + p + 8. What is the remainder when 38 is divided by t(f)?
10
Suppose -25*r - 88 = -21*r. Let b = r + 32. Calculate the remainder when ((-2)/2 - 0) + 29 is divided by b.
8
Suppose -13 = i - 5*v, -4*i + 23 = -0*i - 5*v. Suppose i = 8*u - 4. What is the remainder when 7 is divided by u?
1
Let w = 25 - 23. Suppose 4*g = 3*o + w - 45, -5*o = -g - 49. Let u = 6 - 0. Calculate the remainder when o is divided by u.
3
Calculate the remainder when 0/(6 - 7) + (271 - 4) is divided by 74.
45
Suppose -4*g - 50 = -238. Calculate the remainder when 78 is divided by g.
31
Let p be 6/(-9) - 122/6. Let a = 39 + p. Calculate the remainder when 51 is divided by a.
15
Let v(m) = -m**2 + 6*m + 5. Suppose 22 = -2*r + 3*r - 4*b, 4*r + b - 20 = 0. What is the remainder when v(r) is divided by ((-2)/6)/(3/(-45))?
0
Let u(v) = -v**3 + 8*v**2 - 6*v + 2. Let z be -5 + (8 - 1 - -5). Calculate the remainder when u(z) is divided by 2.
1
Suppose 8*x - 65 + 9 = 0. Suppose 2*o = -4*v + 22, 4*o - 38 - 16 = 2*v. Let h = o - x. Calculate the remainder when 23 is divided by h.
5
Let a = 4 + -4. Suppose 2*n - 3*n = a. Suppose n = -2*i + 82 + 18. Calculate the remainder when i is divided by 17.
16
Suppose 0 = 5*b - 2*d - 363, -227*b + 231*b - 287 = 5*d. What is the remainder when b is divided by 16?
9
Suppose -13*w = -10*w - 87. What is the remainder when 57 is divided by w?
28
Let c = 10 + 16. Let o(w) = w**3 + 2*w**2 - 3*w + 1. Let x be o(3). Let q = x - c. What is the remainder when 21 is divided by q?
10
Suppose -8*u + 30 = -7*u. Suppose 9*h - 5*r = 4*h + u, r - 10 = -h. Suppose c = 10 + 21. What is the remainder when c is divided by h?
7
Suppose -5*b + 25 = p, 0 = 3*p + 3*b + 4 - 31. Suppose -4*w - 1 = -p, -5*z = w - 36. Calculate the remainder when 8 is divided by z.
1
Let p = 56 - -85. What is the remainder when p is divided by 38?
27
Suppose 0*i + 4*i = 328. Let j = 1450 - 1406. What is the remainder when i is divided by j?
38
Let i(k) = 2*k + 4. Let w be i(10). Suppose -19*g = -21*g + w. Calculate the remainder when 33 is divided by g.
9
Let r = -1829 + 1942. What is the remainder when 670 is divided by r?
105
Let s(h) = 3*h + 78. Let c be 0*((-3)/(-6))/(-1). Calculate the remainder when s(c) is divided by 20.
18
Calculate the remainder when -5 + 64 - (-3)/1 is divided by 9.
8
Let r = -17 - -12. Let i = 5 + r. Suppose i = -5*q - b + 33, 5*q - b - 31 = -3*b. What is the remainder when 27 is divided by q?
6
Let c = -275 - -323. What is the remainder when 236 is divided by c?
44
What is the remainder when 33 is divided by 33/7 + (32/(-14))/(-8)?
3
Let b(w) = -w + 20. Let h be b(16). Suppose -3*r - 6 = -4*l - r, 5 = l - h*r. Calculate the remainder when 7 is divided by l.
0
Let y = -52 - -54. Suppose 0 = 3*n + 2*s + 7, 4*n - 4*s = 3*n + 21. Calculate the remainder when y is divided by n.
0
Let i = 290 + -270. What is the remainder when i is divided by 8?
4
Let h(m) = -4*m - 3. Let i be h(-2). Suppose 5*s - 71 - 29 = 5*n, -73 = -i*s - 4*n. What is the remainder when 82 is divided by s?
14
Suppose 2*i - 6*i - 140 = 0. Let m = 64 + i. What is the remainder when m is divided by 10?
9
Let m(q) = -q**3 - 9*q**2 + 24*q - 12. Let s be m(-12). Suppose 17*r + s = 21*r. What is the remainder when r is divided by ((-1)/(-2) + 1)*12?
15
Let d = 72 + -63. Let j(i) = i**2 + 2*i. Let f be j(-3). What is the remainder when d is divided by (2 - f)/((-2)/8)?
1
Calculate the remainder when 167 is divided by (-12)/360*6 - 422/(-10).
41
Suppose -51 - 70 = 5*v - 3*f, -v - 5*f - 13 = 0. Let a = 31 + v. Calculate the remainder when a is divided by 6.
2
Suppose 0 = -5*p - 3*c + 237, -5*c + c = -2*p + 100. Calculate the remainder when p is divided by 5.
3
Let w(p) be the second derivative of -p**5/20 + 2*p**4/3 + p**3/3 - 17*p**2/2 - 42*p. What is the remainder when w(7) is divided by 8?
6
Let u be 3 + 2 + 8/(-4). Let g be ((-108)/(-28) - u)*42. Suppose 3*o + g = 5*o. What is the remainder when o is divided by 10?
8
Suppose -8 - 8 = -4*q. Suppose 4*i = s - 84, q*i - 4*s + 88 = -2*s. Calculate the remainder when (10/5)/((-2)/i) is divided by 7.
6
Suppose 46 + 125 = 3*l. Calculate the remainder when 111 is divided by l.
54
Suppose 62*m = 84*m - 858. What is the remainder when m is divided by 4?
3
Let n(a) = -59*a - a**2 + 55*a - 2*a**2 - 2*a**3 - 2. What is the remainder when n(-3) is divided by 13?
11
Let m be (31/(-4))/((-12)/(-16) - 1). Suppose -85 + m = -2*w. Suppose 2*o - y = 32, -4*y - 48 = -4*o - 6*y. Calculate the remainder when w is divided by o.
13
Suppose s = 2*s + 3. Let g = s + 8. Suppose 0 = -j - 4*n - 3 - g, -n = j - 1. Calculate the remainder when j is divided by 2.
0
Suppose -4*m = -20, -4*r - m = -287 - 22. Let z = r - 13. What is the remainder when z is divided by (0 - 22/3)*-3?
19
Suppose -5*t = -21*t + 1888. Calculate the remainder when t is divided by 60.
58
Let l(p) = 5*p**2 - 9*p + 10. Let q be l(5). Let o = 86 - 53. Calculate the remainder when o is divided by ((-24)/5)/((-27)/q) + -3.
7
What is the remainder when 253 is divided by 2 + 3 + (3 - -78)?
81
Suppose 0 = -4*i - 4, 2*i = d - 3*i - 48. What is the remainder when 170 is divided by d?
41
Let d(b) = b**3 + 11*b**2 - 36*b + 5. What is the remainder when d(-13) is divided by 35?
30
Let k(a) = 2*a**2 - 74*a - 10. Calculate the remainder when 85 is divided by k(38).
19
Suppose -3*u - 5 + 20 = 0. Suppose -u*h + 6 + 94 = 0. Calculate the remainder when 55 is divided by h.
15
Suppose -5*h - 69 = -2*z, -4*h + 24 = 4*z - 72. Calculate the remainder when z is divided by 4.
3
Suppose -9*b + 168 = -7*b. Suppose 2*l - b = -5*l. Calculate the remainder when 35 is divided by l.
11
Suppose -s - 2*s - 29 = -5*v, -3*s + 20 = 2*v. What is the remainder when 60 is divided by v?
4
Suppose 0*s - 4*u + 61 = -5*s, -19 = 3*s + 2*u. Let y = s - -19. What is the remainder when 47 is divided by y?
7
Let x = 36 + -36. Suppose 5*u + 3*y = -x*y + 60, -y = 5. What is the remainder when 132 is divided by u?
12
Let r = 259 + -215. What is the remainder when r is divided by 8?
4
Suppose -u = 3*u - 8. Calculate the remainder when 67 is divided by (-1020)/(-72) - (u/(-12))/(-1).
11
Suppose -4*a - 119 = -f + 141, 529 = 2*f + a. Calculate the remainder when f is divided by 17.
9
Let f = -803 - -819. Calculate the remainder when 313 is divided by f.
9
Let y = 28 + -11. What is the remainder when y is divided by 5?
2
Suppose -71*y = -70*y + 173. Let x = -55 - y. Suppose 4*k + 0*k = 2*o - 44, -5*o - 3*k = -162. What is the remainder when x is divided by o?
28
What is the remainder when (8 - (-8)/(-4)) + 21 is divided by 5?
2
Let h = 24 + 27. What is the remainder when 70 is divided by h?
19
Let x(g) = 76*g**3 + 3*g - 3. Let p be x(1). Suppose -j + p = j. What is the remainder when 74 is divided by j?
36
What is the remainder when 31 is divided by (-60)/40*((-112)/6 - 0)?
3
Suppose -8*s + 309 = -163. Suppose -m + 7 = -8. Calculate the remainder when s is divided by m.
14
Suppose 1680 = 67*w + 99*w - 61*w. Calculate the remainder when (62/(-4))/(1/(-2)) is divided by w.
15
Suppose -4*j = 21 + 143. Let f = j + 122. What is the remainder when f is divided by 21?
18
Let d(y) = y**3 + 10*y**2 + 9*y - 6. Let p be d(-9). Let v = p + 15. Calculate the remainder when v is divided by (-1 + 5/3)/(60/270).
0
Let n(t) = -5*t - 8. Let b be n(-2). Let s(u) = 10*u - 6. What is the remainder when s(b) is divided by 3?
2
Let q be (2 - 9/6)*-6. Let r be (-3*2/q)/2. Suppose u - r = -3*n, -u + 55 = 3*u - 5*n. Calculate the remainder when u is divided by 2.
0
Let g(t) = t**3 - 2*t**3 + 2*t**2 - 9*t**2 + 11 + 9*t. Let u = 8 - 6. What is the remainder when g(-8) is divided by u?
1
Suppose -6*c - 194 = 22. What is the remainder when (c/10)/(2/(-45)) is divided by 21?
18
Let t = 12 - 10. Suppose -7 = t*l - 131. What is the remainder when l is divided by 13?
10
Let t = 2909 + -2898. Suppose 0 = -2*n + 5*n - 15. Calculate the remainder when t is divided by (-1)/n - (-32)/10.
2
Suppose 4*r = 4*p - 168, -105 - 13 = -3*p + r. Calculate the remainder when p is divided by 1