 Suppose -2*r + 124 = c*r. Calculate the remainder when r is divided by 11.
9
Let y(q) = -q. Let p be y(1). Let s(l) = -53*l - 1. Let v be s(p). Suppose m - 3*m = -v. Calculate the remainder when m is divided by 9.
8
Suppose -56 = -20*q + 16*q. What is the remainder when 25 is divided by q?
11
Let f be 27/5 - (-6)/10. What is the remainder when 12*((-4)/f)/(-1) is divided by 3?
2
Let k(z) = z**3 + 6*z**2 - 9*z + 3. Let a = -12 - -21. Calculate the remainder when k(-7) is divided by a.
8
Let f = 5 - 0. What is the remainder when f is divided by ((-2)/2 - 2)*-1?
2
Let q = -110 + 118. Calculate the remainder when 23 is divided by q.
7
Let t(s) = -s**2 - 8*s - 1. Suppose 8*x = 11 + 29. What is the remainder when t(-5) is divided by x?
4
Let v = -15 - -23. Let u be (-2)/2*1*-2. Suppose 63 = 4*p + 5*m, -3*m + 24 = u*p + m. What is the remainder when p is divided by v?
6
Let u(k) = k**2 + k + 3. Let i be u(0). Suppose 4*l - 5*y - 7 = 0, -2*l = i*y - 2*y - 21. What is the remainder when l is divided by 3?
2
Let p = -17 + 30. Let m = -40 - -48. Calculate the remainder when p is divided by m.
5
Suppose -17 = -2*u + 3. What is the remainder when u is divided by 4?
2
Let o = 31 + 49. Calculate the remainder when o is divided by 27.
26
Suppose 0 = -11*d + 3*d + 128. Let b(q) = 10*q + 1. Calculate the remainder when b(3) is divided by d.
15
Suppose -3*f = -4*z + 36, 18*z - 21*z + 32 = -f. Calculate the remainder when 58 is divided by z.
10
Let s = 46 + -41. Calculate the remainder when 28 is divided by s.
3
Let k(f) = f**2 - 10. Let b = 25 - 15. Calculate the remainder when k(7) is divided by b.
9
Let c(d) = 17*d**2 - 4*d - 4. Let p(n) = -8*n**2 + 2*n + 2. Let z(b) = -3*c(b) - 7*p(b). What is the remainder when 41 is divided by z(2)?
13
Suppose -4*u = -5*z - 0*u + 60, 0 = -4*u. What is the remainder when 23 is divided by z?
11
Let f be (-102)/(-9)*3 - -1. Calculate the remainder when 5 is divided by ((-2)/5)/((-7)/f).
1
Suppose 0 = 18*j - 15*j - 51. Calculate the remainder when j is divided by 4.
1
Suppose 7*t = 2*t. Suppose 4*p = j + 45, -p + 4*j + 30 = -t*p. Calculate the remainder when 28 is divided by p.
8
Suppose -16*m + 6*m + 810 = 0. Calculate the remainder when m is divided by 21.
18
Let l = 44 + -26. Calculate the remainder when 52 is divided by l.
16
Let p(z) = -z + 3. Let q be p(3). Suppose u + 0*u - 8 = q. Suppose 3*l - 2*l = 14. What is the remainder when l is divided by u?
6
Let q = -20 + 24. Suppose 2*d - 3*v + q - 7 = 0, -d + 5*v = 16. Let h = -16 - -49. Calculate the remainder when h is divided by d.
6
Suppose 2*g + 19 - 59 = 0. Suppose -l + 5 = -0. Suppose -18 - 17 = -l*v. Calculate the remainder when g is divided by v.
6
Suppose -2*n = -2*u - 12, 0*u = -4*u - 8. Suppose 0 = k + 2 - 9. Suppose -b - 4*w = -35, -2*w = -k*b + 4*b + 35. What is the remainder when b is divided by n?
3
Let s = 1 + 1. Suppose 2*h + 3*t + 2 = 1, -s*h - 2*t = -4. Calculate the remainder when h + -2 + -1 + 0 is divided by 3.
1
Suppose -5*q + 10 + 15 = 0. What is the remainder when 18 is divided by q?
3
Suppose 0 = 2*o - 5 - 5. Let l(w) = w**2 + 5*w - 6. Let z be l(-6). Calculate the remainder when o is divided by (z + -6)*2/(-6).
1
Let r(l) = -l**2 + 2*l + 10. Let g be r(-9). Suppose 3*t = 6 + 63. Calculate the remainder when (g + -1)*(-1)/2 is divided by t.
22
Suppose -4*o - 24 = 4*m, 5*m - 4*m - 4*o + 6 = 0. Let a = -4 - m. Suppose -8 = -s - 3*h, s = a*s - 4*h - 43. Calculate the remainder when s is divided by 8.
7
Let m = -35 - -58. Calculate the remainder when 89 is divided by m.
20
Let i = -113 - -196. What is the remainder when i is divided by 21?
20
Let g(a) = -a + 9. Let l(r) = -r**3 - 4*r**2 + 2*r. Let p be l(-4). Suppose 4*i - 18 = i. What is the remainder when g(p) is divided by i?
5
What is the remainder when 27 is divided by 10 + 4 + -6 + 3?
5
Let a(f) be the third derivative of f**6/120 + f**5/60 + f**4/24 + 2*f**3 - 2*f**2. Calculate the remainder when 4/14 + 152/7 is divided by a(0).
10
Suppose 0 = 6*l - 3*l - 9. Let i = 14 - l. Suppose -4*u + 6 = -3*u. What is the remainder when i is divided by u?
5
Suppose 0*l = 4*l - 40. Calculate the remainder when 16 is divided by l.
6
What is the remainder when 35 is divided by -2 + 4 - (-15 + (-4 - -3))?
17
Let c = -1 + -4. What is the remainder when c*(-2)/(-10)*-38 is divided by 10?
8
Let p be 111/15 - 4/10. Let u(j) = j**2 - 3*j - 1. Let s be u(p). Suppose 4*z + s = 159. What is the remainder when z is divided by 17?
16
Let i = -52 - -97. What is the remainder when 132 is divided by i?
42
Let s = -7 + 11. Suppose 11*f - 13*f = -4. Suppose 0 = 3*g - 15, -9 = f*t + 5*g - 52. What is the remainder when t is divided by s?
1
Suppose 4*i - 12 = -0*i. Suppose -i*q = 3*a, 5*q + 24 = -a + 2*a. Suppose 0*m - 16 = -a*m. What is the remainder when 6 is divided by m?
2
Let j(q) = -4*q**3 + 2*q + 1. Let p be j(-1). Let z = -1 + 1. Suppose z = -p*r - 2*r + 75. Calculate the remainder when 29 is divided by r.
14
Let z(q) = 2*q**2 + 7*q - 1. What is the remainder when 54 is divided by z(-5)?
12
Let l = 25 + -18. Suppose -l = -2*a + 1. Calculate the remainder when a is divided by 1.
0
Suppose 0 = 3*d + d - 40. Let s(g) = 19*g**3 + g**2 - g. Calculate the remainder when s(1) is divided by d.
9
Let l = 35 + -22. Suppose -3*b + 5*x = 3 + l, 3*x - 6 = 3*b. Suppose -b*i + 88 = i. Calculate the remainder when 43 is divided by i.
21
Calculate the remainder when 3/6*1*118 is divided by 0*2/6 + 20.
19
Let z = -58 - -62. What is the remainder when 18 is divided by z?
2
Let l = 6 + -10. Let g(i) = i**3 + 4*i**2 - i + 2. Let j be g(l). Suppose 0 = 2*a - j - 2. Calculate the remainder when 6 is divided by a.
2
What is the remainder when 4/6 + (-97)/(-3) is divided by 18?
15
Calculate the remainder when 54 is divided by 1/(40/(-8)) + 96/5.
16
Suppose -a + 81 = 6. Suppose 0 = -2*g - 3*g + a. What is the remainder when 25 is divided by g?
10
Let z(u) = u + 15. Let x be z(0). Let y = x - -32. Suppose -38 = -3*h + 5*j, 3*h - 52 = -5*j + 3*j. Calculate the remainder when y is divided by h.
15
Suppose 0 = -2*t + 14 - 0. What is the remainder when 2 is divided by 4/(-7)*t/(-2)?
0
Suppose 4*w = 48 + 120. What is the remainder when 207 is divided by w?
39
Let v = 1 - -16. Suppose 0 = 2*w + 24 - 34. Calculate the remainder when v is divided by w.
2
Let o be 2/4*4/(-2). Suppose 4*n - d - 55 = 0, 0 = -n - 3*n - 5*d + 85. Calculate the remainder when 1 - -29 - (-2)/o is divided by n.
13
Let c(v) = -v**3 - 14*v**2 - v - 6. Calculate the remainder when 28 is divided by c(-14).
4
Let u(n) = -14*n**3 + 3*n + 2. Calculate the remainder when 140 is divided by u(-1).
10
Suppose 0 = -18*a + 97 + 155. Calculate the remainder when 110 is divided by a.
12
What is the remainder when (39/(-3))/(1 + -2) is divided by 5?
3
Suppose 11 = h - 3. Suppose -2*z = 4*t - 242, -5*t + 163 + 138 = 3*z. Let r = t + -21. What is the remainder when r is divided by h?
13
Suppose 0*d + 297 = 3*d. What is the remainder when d is divided by 20?
19
Let b = -11 - -6. Let t(p) = -15*p + 1. Calculate the remainder when b/(40/(-36) - -1) is divided by t(-1).
13
Let b(k) = k - 3. Let h be b(3). Suppose 0*l + 4*l = h. Suppose l*z = 4*z - 52. Calculate the remainder when 38 is divided by z.
12
Suppose 17 = 3*f - 3*x + 2*x, -f - 4*x = -10. Suppose c = -2*c - 33. Calculate the remainder when -1*(c/1 + 0) is divided by f.
5
Let p = -66 - -85. Suppose 0 = y - 92 + 36. What is the remainder when y is divided by p?
18
What is the remainder when 15 is divided by (-3)/4 - (-1 + (-135)/36)?
3
Let m be -2 - (2 + 0/(-1)). Let p(r) = 5*r + 4. Let z be p(m). What is the remainder when 12/(-2)*z/12 is divided by 3?
2
Let y(k) = k**2 - 8*k - 2. Let r = -7 - -14. What is the remainder when y(10) is divided by r?
4
Let g = -84 - -39. Let i = g + 77. What is the remainder when i is divided by 11?
10
Let t = 8 - 6. Suppose 2 = -2*y + r - t*r, 0 = y - 4*r - 8. Suppose -2*q - q + 48 = y. Calculate the remainder when q is divided by 6.
4
Suppose 3*r + 3*u - 144 = 0, 4*u - 10 = 10. Calculate the remainder when r is divided by 15.
13
Suppose 5*k - 19 = 66. Calculate the remainder when k is divided by 6.
5
Suppose -2*y = -4*w + 194, -2*y = -4*w + w + 146. Calculate the remainder when w is divided by 14.
6
Let t