r - 1 = -z + 4, -5*r = 2*z - 10. Suppose r = 2*k - 6 - 12. What is the remainder when (4/(-8))/((-3)/138) is divided by k?
5
Let t be 4/(-18) + 974/9. Suppose 15*w - t = 11*w. What is the remainder when 52 is divided by w?
25
Suppose 3*f = -9, 0 = -2*a - f + 33. Calculate the remainder when 66 is divided by a.
12
Let t = -547 - -328. Let g = t + 345. Calculate the remainder when g is divided by 32.
30
Suppose 8 = -2*k + 6*k. Suppose 0 = -2*g - 26 - 30. What is the remainder when (-1)/(g/(-8) + -4) is divided by k?
0
Let u = -5 - -5. Suppose 0 = -u*s + 3*s - 270. Suppose 8*c - 3*c - s = 0. Calculate the remainder when 53 is divided by c.
17
Let z = 39 + -25. Let f = -10 + z. Suppose -29 = -f*w + 3. What is the remainder when 15 is divided by w?
7
Let z(c) = c**3 - 4*c**2 + 4*c - 5. Suppose 12 = -20*q + 26*q. Suppose 0 = -q*k + 1 + 13. What is the remainder when z(4) is divided by k?
4
Suppose 0 = -5*z - 44 - 56. Let n = z - -28. What is the remainder when 27 is divided by n?
3
Suppose -29*z + 4*a + 33 = -28*z, -174 = -4*z + 2*a. Calculate the remainder when 75 is divided by z.
30
Let a(h) = -h**2 - 3*h + 8. Let r be a(2). Calculate the remainder when 59 is divided by (-4 + 19)*r/9*-6.
19
Suppose -7*j + 85 = -2*j. Suppose -i - 29 = -3*f + 9, 0 = f + 4*i - j. Let u = f - -1. Calculate the remainder when 39 is divided by u.
11
Let q = 229 - 218. What is the remainder when q is divided by 2?
1
Suppose -2*q = -q - 2, 0 = -4*x - 4*q + 76. What is the remainder when 30 is divided by x?
13
Suppose -9 = y - d, 4*d - 2*d + 10 = -5*y. Calculate the remainder when ((-6)/9)/((-4)/18) is divided by (y - -5) + 2/1.
0
Suppose s = 1 + 11. Suppose m - 57 = -0*m. Let d = -22 + m. Calculate the remainder when d is divided by s.
11
Suppose -2*o - 118 = -5*h, 2*o = 3*h + 5*o - 54. What is the remainder when 56 is divided by h?
12
Suppose -3*o - 408 = 2*f - 3137, -3*f + o + 4088 = 0. What is the remainder when f is divided by 39?
37
Let s(d) = -24*d + 1. Let p = -87 - -184. Calculate the remainder when p is divided by s(-1).
22
Let d(k) = k**3 + 7*k**2 + 5*k - 6. Let o be d(-6). Suppose o*w = w - 97. Suppose 0*i - 62*i = 31*i - 2325. What is the remainder when w is divided by i?
22
Suppose 21 = -4*x - 15. What is the remainder when 4 is divided by 12/27*x/(-2)?
0
Suppose -5*f + 0*f + 30 = 2*x, 3*x = f - 23. Suppose 10*n - 166 = f*n. Suppose i - 37 = -4*s, -5 = -s - 1. What is the remainder when n is divided by i?
20
Let w = -256 + 422. Let q(k) = -k**3 + 11*k**2 - 8*k + 4. Calculate the remainder when w is divided by q(10).
22
Suppose 31*z - 20 = 26*z. Suppose -11*u + 147 = -z*u. Calculate the remainder when u is divided by 13.
8
Let r(a) be the first derivative of -87*a**4/4 + a**3/3 + 3*a**2/2 + 2*a - 3. What is the remainder when r(-1) is divided by 22?
21
Let v be (-90)/36*(-2)/(-5). What is the remainder when -21*(1 - -1)*v is divided by 15?
12
Let i(z) = -8*z**3 + 2*z**3 - 3*z**2 + 8 + z + 7*z**3. What is the remainder when i(4) is divided by 15?
13
Let t be ((2 - 2)/2)/(-3). Suppose t = w - 3*h, -w - 5*h + 55 = w. What is the remainder when 57 is divided by w?
12
Let c(v) = -12*v - 21. Calculate the remainder when c(-5) is divided by 22.
17
Calculate the remainder when -2 - (-1 - 4)*5 is divided by 1.
0
Let b(j) = j + 28. Let n be b(-19). Suppose c - 6*c - 3*h + n = 0, 3*c = 3*h - 9. Suppose 2*t - 18 - 20 = c. Calculate the remainder when 75 is divided by t.
18
Let i(x) = x**2 + x + 3. Let z = -18 - -11. Let m be i(z). Suppose 0*a = 3*a - m. Calculate the remainder when 27 is divided by a.
12
Suppose 0 = -3*l - h + 69 + 1, 0 = -3*l - 4*h + 64. Calculate the remainder when 162 is divided by l.
18
Suppose 0 = -15*x + 18*x - 309. Let b = -89 + x. Calculate the remainder when 81 is divided by b.
11
Suppose 7*h - 5*h = -w - 8, 7 = 4*w - 5*h. Calculate the remainder when (-224)/(w - 0) + (-7 - -11) is divided by 30.
26
Calculate the remainder when (-3)/((-1134)/282 + 4) is divided by 48.
45
Suppose 3*w - 40 + 4 = 0. What is the remainder when 1030 is divided by w?
10
Suppose -l - l = -4*u - 4, l - 3 = u. Calculate the remainder when 39 is divided by 1/l - (-55)/4.
11
Suppose -27*s - 263 = -30*s - 5*h, h - 345 = -4*s. What is the remainder when s is divided by 44?
42
Calculate the remainder when 3 - -22 - 5/((-15)/6) is divided by -2*(-5)/15*30.
7
Let f(h) = -2*h**2 - 44*h - 30. What is the remainder when 78 is divided by f(-21)?
6
Let d = 1003 - 657. Calculate the remainder when d is divided by 119.
108
Let i(s) = -s**3 + 3*s**2 + 3*s + 2. Let m be i(4). Let c(g) = 2*g**3 - 3*g**3 + g**2 + 6*g - 3*g + 3 - g. Calculate the remainder when 41 is divided by c(m).
8
Suppose -5*t - z = -181, 2*t - 7*t - 3*z = -183. Let a = -34 + t. Let b = -1 + a. What is the remainder when 4 is divided by b?
0
Let k be (-38 - 2)*((-25)/(-2))/(-5). Suppose -x + 28 = b - 0*x, 4*b = 2*x + k. Calculate the remainder when b is divided by 14.
12
Suppose -3*v + 2*v + 3 = 0. Let z be (5 - 2) + -2 + 2 + 0. Suppose z*p - 30 = v*h, 5*p + h + 4*h = 90. What is the remainder when 55 is divided by p?
13
Let j(c) = -c**3 + 11*c**2 + 25*c + 16. Let i be j(13). Suppose 30 = 5*m - 0*m. What is the remainder when 79 is divided by m/(-12)*(i - 57)?
25
Suppose -4*m - p + 100 = -3*p, 128 = 5*m - p. Let a(s) = 19*s + 5. Suppose -6*b + 4*b = -10. Calculate the remainder when a(b) is divided by m.
22
Let c(w) = -2*w**3 - 3*w**2 + w + 2. Let z be c(-2). Suppose 5*d - 87 = z*d. Let i = d - 60. What is the remainder when i is divided by 15?
12
Let q(k) = k. Let h be q(1). Suppose 0 = -w - 0*w - f + 7, -2*f = -w + h. Suppose -w*p + 10 = -90. What is the remainder when 77 is divided by p?
17
Suppose -4*p + 115 = 5*g, 3027*g - 3029*g + 44 = 2*p. Let s = -10 - -15. What is the remainder when g is divided by s?
2
Suppose 4*c - 47 = 3*u, -1 = -4*c - 3*u + 16. What is the remainder when 257 is divided by c?
1
Let y(w) = -w**3 + 9*w**2 - 8*w + 12. Let h be y(8). Suppose -8 + h = 2*q. What is the remainder when 5 is divided by q?
1
Let h = 22 + -17. Suppose s = -2*z + 25, z - 155 - 6 = -5*s. What is the remainder when s is divided by h?
3
Let r(y) = -29*y**3 - 8*y - 8. Calculate the remainder when 35 is divided by r(-1).
6
Suppose -4*m = 4, -2*c + 6*m + 42 = 10*m. Calculate the remainder when 252 is divided by c.
22
Let c(x) = -30*x**3 + 1. Suppose 28*m + 84 = 35*m. Calculate the remainder when c(-1) is divided by m.
7
Let p = -371 + 409. Let k = -3 + 2. Let c = k + 11. What is the remainder when p is divided by c?
8
Suppose -185*a + 179*a + 192 = 0. What is the remainder when 95 is divided by a?
31
Suppose f + 7*l = 3*l - 2, -65 = 4*f - 3*l. Let i = 6 + 21. Let x = i + f. Calculate the remainder when 63 is divided by x.
11
Let j(p) = p**3 + p**2 + p + 6. Calculate the remainder when 46 is divided by j(0).
4
Let s be -12 + 4 + -5 + 1. Calculate the remainder when 96 is divided by (-722)/(-22) + (s/(-33))/2.
30
Let s(h) = h**3 + 7*h**2 + 5*h - 10. Let m be s(-6). Calculate the remainder when (-402)/(-9) + 1/(6/m) is divided by 24.
20
Suppose 8*b + 85 = 413. What is the remainder when b is divided by ((-11)/2)/((-2)/4)?
8
Let m = -17 + 22. Let r = 7 - m. Suppose 4*u - 81 = -5*h, u - r*u = -5*h + 11. What is the remainder when u is divided by 8?
6
Let a = 366 + -166. What is the remainder when 96 is divided by a/14 - 12/42?
12
Suppose d - 167 = -84. Calculate the remainder when d is divided by 19.
7
Suppose q - 3*f = 779, -4*q = -3*f + f - 3126. Suppose 5*g - q = -217. Calculate the remainder when g is divided by 38.
37
Suppose 0 = -3*i + 5*y + 168, 0 = 4*i - 7*y + 9*y - 250. What is the remainder when 426 is divided by i?
60
Suppose 0 = -2*k + 13 + 41. Let n = -22 + k. Let v = -2 - -14. What is the remainder when v is divided by n?
2
Suppose -61 = 5*m - 10*m - 2*j, 0 = 4*m + 3*j - 53. Let i(c) = 6*c**2 + 4*c - 1. What is the remainder when i(-3) is divided by m?
8
Suppose 11*a = 10*a - 5*q + 6, 0 = 3*a + 3*q - 66. What is the remainder when 65 is divided by a?
13
Suppose 4*q = 53 + 31. Calculate the remainder when 142 is divided by q.
16
Let m(n) = -n**2 + 2. Let d be m(-2). Calculate the remainder when 23/(d/((-4)/2)) is divided by 0*3/(-4 - 2) + 4.
3
Suppose 8101*o - 8110*o + 99 = 0. Let s(h) = 4*h**2 - 4*h + 5. Calcul