- 10*z = 20. Calculate the remainder when ((-8)/12)/((-1)/27) is divided by z.
3
Suppose 2*j + 11 = 41. Let h = 53 + -24. Suppose -3*i - 2 = -m, -3*m - i - 3 = -h. Calculate the remainder when j is divided by m.
7
Let b(p) = 2*p**3 - 5*p**2 - 2*p + 3. Let q(z) = z**3 - z**2 - z + 4. Let n be q(0). Calculate the remainder when b(n) is divided by 15.
13
Let k = 6 - -9. What is the remainder when 57 is divided by k?
12
Suppose q - 82 = -q. Suppose 0 = -g + 26 - 12. What is the remainder when q is divided by g?
13
Let f(n) = 3*n - 2. Suppose -12 + 5 = -l. Calculate the remainder when f(l) is divided by 10.
9
Suppose 4*r = -2*t + t - 22, r = -5*t - 53. Let u = 15 + t. Suppose 2*g - 29 = -k, -2*g = -u*g - 2*k + 41. Calculate the remainder when 65 is divided by g.
14
Let z(k) = k**2 - 5*k - 3. Let i(c) = -c**2 - 5*c. Let r be i(-3). Suppose 4*f = r + 18. Calculate the remainder when 8 is divided by z(f).
2
Let w = -85 - -100. Calculate the remainder when 119 is divided by w.
14
Let z = 90 + -88. Calculate the remainder when 16 is divided by z.
0
Let o(w) = -w**2 + 4*w + 5. Let h be o(5). Suppose 2*m = g + 3, 12 = 4*g - 8. Calculate the remainder when 0 + (h - (2 - 9)) is divided by m.
3
Let z(y) = -y**2 + 14*y - 22. Suppose 0 = -3*r + 4*r - 13. Calculate the remainder when z(9) is divided by r.
10
Let x(d) = 29*d + 1. Suppose -8 = -j - 2*k, j + 1 + 3 = 2*k. Let g be x(j). Let h = g + -24. Calculate the remainder when h is divided by 18.
17
Let v(s) = 2*s**2 + s - 5. What is the remainder when v(4) is divided by 8?
7
Suppose 0 = -0*b + 3*b - a - 200, -3*b + 194 = 2*a. Suppose -2*f + 21 = -5*p, 0 = -4*f + p + 14 + 73. What is the remainder when b is divided by f?
20
Suppose 16 = 3*b - 155. What is the remainder when b is divided by 29?
28
Let t(r) = -r**2 - 8*r + 18. What is the remainder when 49 is divided by t(-8)?
13
Suppose 5*m + 5*b - 100 = 0, -3*b + b + 22 = m. What is the remainder when 52 is divided by m?
16
Suppose 2*p - 3 - 5 = 0. Suppose l = 4*a + 2*l - 17, -4*l = -p. Let b = -5 + 8. What is the remainder when a is divided by b?
1
Calculate the remainder when 33 is divided by ((-36)/14)/((-6)/28).
9
Let b(v) = -v**3 + 2*v - 6. What is the remainder when b(-3) is divided by 6?
3
Let v = -40 + 47. What is the remainder when 13 is divided by v?
6
Let u = -52 + 69. Calculate the remainder when 151 is divided by u.
15
Suppose -2*d - 1360 = -6*d. Suppose 2*b = -3*b + d. Suppose 0*q + b = 4*q. What is the remainder when q is divided by 6?
5
Suppose -9*a = -5*a - 52. Suppose -4*q - 20 = 0, -4*r + 2*q + 11 = 3*q. What is the remainder when a is divided by r?
1
Suppose 0*v + 63 = 3*v. Calculate the remainder when 40 is divided by v.
19
Let g(n) be the third derivative of n**4/24 + 3*n**3 + 3*n**2. Calculate the remainder when g(0) is divided by 10.
8
Let f(z) = -z**2 + 7*z - 7. Let v be f(5). Calculate the remainder when (-69)/12*(v + -11) is divided by 12.
10
Let a(x) = 3*x + 1. Calculate the remainder when 110 is divided by a(9).
26
Suppose 4*o - 57 = -5*r, -5*o + 3 = -r - 3. What is the remainder when 31 is divided by r?
4
Let m = 38 - 22. Suppose 0 = -w + 5*w - 180. What is the remainder when w is divided by m?
13
Let b(f) be the first derivative of -f**2/2 + 4*f - 1. Let s be b(12). What is the remainder when 38 is divided by (78/24)/((-2)/s)?
12
Let c = 25 + -20. Suppose c*w - 20 = 0, 5*m + 4*w = 2*m + 61. Calculate the remainder when 44 is divided by m.
14
Let l be (0 + 2)*62/4. Suppose -i + 0*i = -l. What is the remainder when i is divided by 11?
9
Suppose 2*q - 11*q + 1017 = 0. What is the remainder when q is divided by 2 - (1 + 0) - -37?
37
Let f be 2/(-1 - 1/(-2)). Calculate the remainder when 57 is divided by ((-2)/(-3))/(f/(-90)).
12
Let z(l) = -15*l. Let s be z(-2). Suppose -b + s = -4*m, -2*m - 54 = -2*b - 0*m. What is the remainder when b is divided by 9?
8
Suppose -4*v + 5 = 2*w - 5, -48 = -4*w - v. Let d = -5 + w. Suppose 5*s + 41 = 2*l, -45 - 2 = -2*l - s. Calculate the remainder when l is divided by d.
7
Suppose -362 - 16 = -7*b. What is the remainder when b is divided by 8?
6
Calculate the remainder when 15 is divided by 4 - (12/(-3) + 4).
3
Let h = 6 + 9. Suppose -h = 3*b - 54. What is the remainder when 24 is divided by b?
11
Suppose 2*k + 1 = 3*o + 10, 2*o - 20 = -3*k. Suppose z = k*z - 25. Let t(q) = -3*q - 7. Calculate the remainder when z is divided by t(-3).
1
Let p = 17 + -1. Suppose -s + p = 3*s. Calculate the remainder when 11 is divided by s.
3
Let j = -36 + 56. Calculate the remainder when j is divided by 14 - (4 + -1)/1.
9
Let n(c) = -c**3 + c**2 + 102. Let b be n(0). Let o = -12 - -16. Suppose o*h + k = 94, -h - 5*k + b = 3*h. Calculate the remainder when h is divided by 8.
7
Let t(j) = -j**3 - 6*j**2 + 2*j + 20. Calculate the remainder when t(-8) is divided by -2 - (-26 - (-9)/(-3)).
24
Let l(u) = u**2 + 20*u - 14. Calculate the remainder when 13 is divided by l(-21).
6
Suppose 3*d + 6*h + 110 = 2*h, 2*d = 4*h - 100. Let z = -7 - d. What is the remainder when z is divided by 42/(-147) - 86/(-7)?
11
Let g be (6 + (0 - 1))*1. Suppose -2*t = -2*l + l - 66, g*l + 120 = 4*t. Let q = t + -17. What is the remainder when q is divided by 10?
8
Let y(x) = 4*x**2 + 4. What is the remainder when 59 is divided by y(2)?
19
Let f(n) = -n**2 - 10*n - 7. What is the remainder when f(-7) is divided by 530/65 + (-2)/13?
6
Calculate the remainder when 2*(-3 - (-4 - 0)) is divided by 1.
0
Suppose -4*d + 30 = -10. What is the remainder when 18 is divided by d?
8
Let x = 4 - -40. Let j be x/3 + 6/(-9). Suppose -s = -0*h - h - j, 35 = 4*s + 3*h. What is the remainder when 41 is divided by s?
8
Let m(t) = 3*t - 7. Let h(k) = k**3 - 8*k**2 + 8*k - 1. Let q be h(7). Calculate the remainder when m(q) is divided by 3.
2
Let x = -30 + 41. Calculate the remainder when 34 is divided by x.
1
Let c = 22 + 93. Suppose -4*w + c = w. What is the remainder when w is divided by 8?
7
Let u(w) be the third derivative of w**4/2 - 2*w**3 - 3*w**2. What is the remainder when u(6) is divided by 21?
18
Suppose -3*v + 26 = -3*t - 97, -3*v + 4*t + 127 = 0. Suppose 3*z - v = d, z - d = -4 + 17. Calculate the remainder when (-212)/(-6) + 1/(-3) is divided by z.
11
Suppose 5*u = -2*z - 22, 0*u - 30 = 4*z + 3*u. What is the remainder when 29 is divided by ((-14)/3 + 2)*z?
13
Let l = 44 - 23. What is the remainder when l is divided by 4/10 + 212/20?
10
Let j be -3*(-1 - 0/2). Let b = j - -11. Suppose 0 = 3*n - 5*m - 110, 5*m + 70 = 2*n - 0*m. What is the remainder when n is divided by b?
12
Suppose -3*k = -238 + 208. Suppose 3 = -5*h + 2*h. What is the remainder when (0 - h)*(-17)/(-1) is divided by k?
7
Suppose -m + 5*u + 35 = 0, 3*u = -2*m - 0*m + 109. Suppose 4*c - 10 = m. Let h = 1 + 7. Calculate the remainder when c is divided by h.
7
Suppose -7*j = -5*j - 68. Calculate the remainder when j is divided by 18.
16
Suppose 0*j + d = 3*j - 4, -11 = -2*j - d. Let p = 3 + -5. What is the remainder when j is divided by ((-2)/5)/(p/10)?
1
Suppose 8*p - 20 = 60. Let n(f) = 2*f**2 - f + 1. Calculate the remainder when n(-4) is divided by p.
7
Let y(r) = -r**3 + 4*r**2 + 14*r. Calculate the remainder when 46 is divided by y(6).
10
Suppose 0*i = i - 4*r - 4, -3*r = i - 11. Suppose i*v - z - 23 = 3*v, -z + 7 = v. Suppose 3*a - v*a + 14 = 0. Calculate the remainder when 19 is divided by a.
5
Let p(t) be the first derivative of -t**4/2 - 8*t**3/3 - 3*t**2/2 - 2*t - 2. Calculate the remainder when p(-5) is divided by (-2)/(-5) + (-3564)/(-165).
19
Let p(o) = -o**2 + 6*o + 3. Let l be p(6). Suppose 2*y + 4*z = 62, 4*y - l*y - 40 = -5*z. Calculate the remainder when y is divided by 13.
12
Let f be ((-4)/(-12))/((-1)/(-111)). Suppose -v + 2*v = f. Suppose 3*p + 0*p - 39 = 0. Calculate the remainder when v is divided by p.
11
Calculate the remainder when ((-8)/20)/(3/(-630)) is divided by 17.
16
Suppose 2*z + 2*z = -12. Let f be (-1)/z - (-22)/6. Suppose 0*s = -3*s - q + 34, 0 = -2*s + f*q + 18. What is the remainder when 30 is divided by s?
8
Calculate the remainder when (-187)/(-5) + 3/5 is divided by 20.
18
Let r be (-1)/(108/(-105) - -1). Suppose 5*l + r = z, -5*z - l + 6*l = -95. Calculate the remainder when z is divided by 9.
6
Suppose 3*d - 274 = 4*a, d + a - 179 = -d. Wh