ose -3*l + 30 = 2*s + s, 4*l + 5*s = 45. What is the remainder when l is divided by v?
1
Let c = 20 - 11. Suppose -3*u + c = 0, -2*x + u + 12 = -7. Suppose 4*o = 33 + x. Calculate the remainder when 31 is divided by o.
9
Let v = -211 + 360. Let x = v + -65. Calculate the remainder when x is divided by 29.
26
Suppose -3*x + 59 = 4*c, x = -0*x + 5. What is the remainder when (-2)/(2 - 0) + c is divided by 6?
4
Let x(y) = y**3 + 7*y**2 + 7*y + 6. Let t be x(-6). Suppose t = -3*n, -5*n - 86 = -m - m. Suppose -2*f = -m - 3. What is the remainder when 44 is divided by f?
21
Suppose 5*k = -5*d + 175, 2*d = -5*k + 139 + 27. What is the remainder when k is divided by 17?
15
Let z(u) = -8*u + 8. Let n be z(-6). Suppose 5*o + 2*x = 267, o + n = 2*o + 3*x. Let y(t) = 7*t - 3. What is the remainder when o is divided by y(3)?
17
Let d(q) = -q**3 + 7*q**2 - 5*q - 1. Let f be d(6). Let j = f + 61. Calculate the remainder when j is divided by 17.
15
Suppose 3*d - 630 = -0*d. Suppose -2*y = 3*y - d. Calculate the remainder when y is divided by 22.
20
Let p be -2 - (-2 + 5 - 8). Suppose 13 + 41 = p*r. Calculate the remainder when r is divided by -1 - -3 - (-11 + 3).
8
Let n = 18 - 11. Suppose -36 = -4*g + 5*d, 2*g = -g - 5*d - 8. What is the remainder when n is divided by g?
3
Suppose -j - 96 = -5*j. Let n = -7 + j. What is the remainder when 65 is divided by n?
14
Suppose 0 = 7*x - 2 - 19. Let a = -3 - -7. What is the remainder when a is divided by x?
1
Let z = -34 + 52. Suppose 6*x - p = 2*x - 44, 0 = 2*x + p + 22. Let b = x + z. Calculate the remainder when 20 is divided by b.
6
Let y = 70 - 39. Suppose 142 - y = 3*q. Calculate the remainder when q is divided by 19.
18
Let j = 74 + -55. What is the remainder when 246 is divided by j?
18
Let z be 12 + -2 - -1 - 2. Let n = z - -1. What is the remainder when 18 is divided by n?
8
Suppose -2*x = -0*x - 4. Suppose 0 = -7*j + x*j - z - 16, j + 3*z = 8. What is the remainder when 65 is divided by (-172)/(-8) - 2/j?
21
Suppose 5*w + 20 = -5. Let i(y) = 4 - y - 3 + 2. Calculate the remainder when i(w) is divided by 3.
2
Let x be 9/(-36) - 1442/(-8). Suppose 4*h + 0*h - x = 0. What is the remainder when h is divided by 16?
13
Suppose 0 + 5 = q + 5*g, -16 = 4*g. Calculate the remainder when 474/10 - (-2 + 28/20) is divided by q.
23
Suppose 1144 = 12*z - 4*z. What is the remainder when z is divided by 36?
35
Suppose 0 = -5*m + 3*z + 60, -8*z = -3*z - 25. Suppose 5*c - m - 70 = 0. What is the remainder when 50 is divided by c?
16
Let f be 6*(11/(-3) + 3). Let y(t) be the first derivative of -t**3/3 - 2*t**2 + 5*t - 2. Calculate the remainder when 9 is divided by y(f).
4
Let p = 28 - 19. Suppose 21*g - 18*g = -3. Let k = p - g. What is the remainder when 29 is divided by k?
9
Suppose 4*b - 135 = -5*g, 4*b - 30 = -g + 93. Suppose -a - a + b = 0. What is the remainder when a is divided by 4?
3
Suppose 0 = -2*w + 2*g + 94, -w = 5*g - 2*g - 31. What is the remainder when w is divided by 23?
20
Let c(m) = 11*m**2 - 1. Suppose -7 = -z + 2*y + 4, 0 = 3*z + 4*y + 17. Calculate the remainder when 18 is divided by c(z).
8
Let p(u) = -u**3 + 10*u**2 + 12*u - 1. Calculate the remainder when p(11) is divided by 7.
3
Suppose 6*j - 90 - 72 = 0. Calculate the remainder when j is divided by 15.
12
Suppose -2*t + 3*l + 2 = -5, -5*t + 46 = 2*l. Let y(h) = 2*h**2 - 5*h + 3. What is the remainder when y(4) is divided by t?
7
Suppose -2*z + 6*z + 173 = 5*c, -142 = -4*c + 5*z. What is the remainder when c is divided by 12?
9
Suppose 0 = -2*q + 55 + 5. What is the remainder when q is divided by 8?
6
Suppose -6 = 3*k - 6*k. Suppose 0 = 3*x + 4 - 1. Let d = k + x. Calculate the remainder when 2 is divided by d.
0
Suppose s - 23 = -3*v - 0*s, -v - 4*s + 4 = 0. What is the remainder when 13 is divided by v?
5
Let b be (-2)/(-2 + 48/21). Let z(c) = c**2 + c - 4. What is the remainder when z(b) is divided by 13?
12
Let j = 0 + 4. What is the remainder when 0 - ((-6)/1 + -4) is divided by j?
2
Suppose -5*k + 9 = q - k, 5*k + 15 = 4*q. What is the remainder when 11 is divided by (q/15)/(1/9)?
2
Calculate the remainder when 3 + 0 - (-68)/4 is divided by 3.
2
Suppose 5*p = p + 80. Let x = -16 + 66. Suppose x = 4*c - 5*i - 3, -5*i - 46 = -3*c. What is the remainder when p is divided by c?
6
Suppose 0*g + 6*g = 300. Calculate the remainder when g is divided by ((-1)/3)/(2/(-78)).
11
What is the remainder when (-412)/(-24) - 1/6 is divided by 5?
2
Let x(r) = r**3 - 3*r**2 + r. Let z be x(3). Let y(d) = 2*d**3 - 4*d**2 - d + 2. Calculate the remainder when y(z) is divided by 84/9 - (-4)/(-12).
8
Suppose -8*p = -7*p - 55. Calculate the remainder when 219 is divided by p.
54
Suppose 120 = 5*t + p, 0*t - t - 5*p + 24 = 0. Calculate the remainder when 70 is divided by t.
22
Suppose k = 94 - 65. Calculate the remainder when k is divided by 2.
1
Let a be 6 - (2 + 0 + 1). Let z be (1/3 - -1)*a. Suppose 71 = z*k - 3*k. Calculate the remainder when k is divided by 24.
23
Suppose -j = -0*j + 2. Calculate the remainder when 18 is divided by 204/21 + j/(-7).
8
Suppose 18 = -14*q + 17*q. What is the remainder when 23 is divided by q?
5
Let t be (-7 + -2)*3/9. What is the remainder when 30 + (t + 0)/(-3) is divided by 11?
9
Let i = -14 + 6. Let n = i + 12. Suppose 2*a + 2*b - 4 = a, 0 = 3*a + n*b - 18. What is the remainder when a is divided by 4?
2
Let n = -3 + 18. Let o(b) = -b - 1. Let m be o(-4). Suppose c - 76 = -2*c - d, -5*c = m*d - 120. Calculate the remainder when c is divided by n.
12
Suppose -r + 5*d = 16, -3*d - 2*d = 3*r - 32. Suppose 70 = p + r*p. Calculate the remainder when 55 is divided by p.
13
Suppose 0 = -g + z + 4, -4*g = -2*z - 8 - 8. What is the remainder when 11 is divided by g?
3
Let n(d) = -3*d + 2. Let a be n(-2). Let z = a + -6. Suppose 62 + 42 = z*u. What is the remainder when u is divided by 18?
16
Suppose 2*s + 5*z - 21 = 0, 2*z = -s - 2*s + 37. What is the remainder when (-356)/(-10) + 2/5 is divided by s?
10
Suppose 10 = r - 4. Let d = r + -4. Let c = -57 - -85. Calculate the remainder when c is divided by d.
8
Suppose 35 = 5*u - 5. Suppose 0 = 4*c - h - 32, -c - h - 3*h + u = 0. What is the remainder when 14 is divided by c?
6
Suppose -n = -2*x + 24, -2*x - x = 4*n - 14. Suppose -x = t - 41. Let o = t + -5. What is the remainder when o is divided by 9?
8
Suppose 2*p - 5*w + 4 = 0, 0*w - 24 = -5*p + 4*w. What is the remainder when p is divided by 0 + 1 - (0 - 4)?
3
Let m be 322/6 + 12/(-18). Suppose -i = -3*r - 5*i + m, r - 25 = -5*i. What is the remainder when r is divided by 6?
3
Suppose -2*c = 2*c - 88. Let j = -30 + 42. What is the remainder when c is divided by j?
10
Let t(y) = -y - 7. Let q be t(-11). Let x = q - -4. Calculate the remainder when 14 is divided by x.
6
Suppose 4*z = 86 + 66. Let c(i) = i**3 - 16*i**2 + 16*i - 5. What is the remainder when z is divided by c(15)?
8
Suppose -d + 39 = 5*t - 0*d, -3*d = -12. Calculate the remainder when 12 - -25 - (0 - -4) is divided by t.
5
Suppose t - 5*n + 2*n = 3, -12 = -4*t + 5*n. Let m(h) = 0 + h**t - 8 + 8*h**2 - 2*h - 3*h**2 + 2. Calculate the remainder when 6 is divided by m(-5).
2
Let o(u) = -15*u. Let q be o(-5). Let l = q + -36. What is the remainder when l is divided by 20?
19
Let h = 63 + -49. What is the remainder when 26 is divided by h?
12
Suppose -4 = -v + z, 5*z + 1 = 6. Suppose 0 = -3*w + 3*c - v*c + 17, 0 = 4*w - c - 41. Calculate the remainder when 26 is divided by w.
8
Let x = 30 - 18. Suppose 4*s - x = -0. Calculate the remainder when 7 is divided by s.
1
Let s(m) = 2*m**3 + m**2 - 2*m. Let c be s(2). Let n(j) = j**3 - 3*j**2 - 3*j + 5. Calculate the remainder when c/(-6)*2*-3 is divided by n(4).
7
Calculate the remainder when 1*(0 - -1) + 4 is divided by 2.
1
Let v(j) be the third derivative of j**4/24 + 8*j**3/3 - j**2. What is the remainder when v(-8) is divided by 5?
3
What is the remainder when (-2)/(-1)*(-7 + 17) is divided by 11?
9
Suppose 3*z - 4*k = z + 38, -5*k + 24 = 3*z. What is the remainder when (2 - 2/1) + 24 is divided by z?
11
Suppose 0 = -2*s + 6*s - 168. Calculate the remainder when s is divided by 15.
12
Suppose -2*g = 5*z + 2, 3*g + 1 + 2 = -4*z. Calculate the remainder when 44 is divided by ((-15)/(-2))/(g/(-2)).
14
Let m = 42 + -17. Calculat