) + (-5 - -7). Suppose d = -5*z + 160 + 50. Calculate the remainder when z is divided by 11.
9
Suppose -16 = -47*z + 43*z. Suppose -2*u + m = -19 - 1, -3*u - 2*m + 23 = 0. What is the remainder when u is divided by z?
1
Let w(l) = -l**2 - 4*l + 2. Suppose d = -3*d - 12. Let c be w(d). Suppose 0 = c*g - 4 - 6. What is the remainder when 5 is divided by g?
1
Let b(l) = l**2 - 4. Let u be b(-3). Let d(k) = k**2 - k + 2. Calculate the remainder when 64 is divided by d(u).
20
Let v = -4 - -6. What is the remainder when v is divided by (-1)/(-6) - ((-187)/(-6))/(-17)?
0
What is the remainder when 76 is divided by (-3)/((63/78)/(-7))?
24
Suppose 4*l - 12 - 4 = 4*r, 7 = 4*l - r. Calculate the remainder when 41 is divided by 207/15 - l/(-5).
13
Let x = -8 - -61. Suppose -2*v - x = -5*r, -2*v + 4*v + 3 = -5*r. Calculate the remainder when 5 is divided by (-24)/(-14) + (-4)/v.
1
Let s = 15 + -23. Let g = 10 + s. What is the remainder when 7 is divided by g?
1
Let t = -2 + 4. Suppose 18 = -t*o + 5*o. Let s(k) = -3*k - 5. Calculate the remainder when s(-7) is divided by o.
4
Let q(t) = -3*t**3 - 1. Let y(s) = -3*s - 11. Let b be y(-5). What is the remainder when q(-2) is divided by (-13)/5*(-20)/b?
10
Let u be 4 - (-3 - (-1 + -1)). Suppose v = -5*w + 31, -5*v + 169 - 34 = u*w. Calculate the remainder when 51 is divided by v.
25
Suppose -3*l + 16 = l. Suppose 2*p = 2*b - 32, 4*b + 7*p - 85 = l*p. Suppose 2*s = -z + b, 2*s - 34 = -z - z. Calculate the remainder when z is divided by 8.
7
Let p(j) = -j**3 + 4*j**2 - 2*j. Let w be p(3). What is the remainder when 26 is divided by (2/w)/((-2)/(-27))?
8
Let i(b) be the second derivative of 1/12*b**4 + 0 + b - b**2 + 1/3*b**3. Calculate the remainder when 25 is divided by i(3).
12
Let n(c) = -c**3 - 2*c**2 - c + 2. Let h be n(-2). Let d be 14/h + 2/(-4). Suppose -i + 2 = -d. What is the remainder when 13 is divided by i?
3
Suppose 26*y = 34*y - 48. What is the remainder when y is divided by 2?
0
Suppose 0 = 4*s + 20, -422 = -5*f + 3*s - 57. Suppose -5*p + f = 20. Calculate the remainder when 18 is divided by p.
8
Let v(y) = -2*y**3 + y**2 + y. Let j be v(-1). Let q(t) = -11*t**3 + t**2 - 1. Calculate the remainder when q(-1) is divided by j/9 - 25/(-9).
2
Let t = 2 - -3. Suppose -2*k + 15 = k. Let o = k - 2. Calculate the remainder when t is divided by o.
2
Suppose -2*o - 3*o + 5595 = 0. What is the remainder when o/21 + (-2)/7 is divided by 18?
17
Let r(a) = -a**2 + 6*a + 8. Let o = 11 - 5. Suppose -2*k - 52 = -4*h, 2*h + 2*k = -0*h + 32. Calculate the remainder when h is divided by r(o).
6
Let q = -131 + 147. What is the remainder when 143 is divided by q?
15
Let c = -1 - -4. Suppose 3*k - 4 = 2, c*z + k - 173 = 0. Calculate the remainder when z is divided by 30.
27
Suppose 0 = 2*s - 3*m - 78, 4*s + 7*m - 138 = 4*m. Calculate the remainder when s is divided by 3.
0
Suppose -k + 60 = 4*k. Calculate the remainder when 83 is divided by k.
11
Suppose -3*t + 5*t = -12. What is the remainder when t + 39 + -1 + 0 is divided by 11?
10
Let a = 20 - 9. What is the remainder when 99/5 + 4/20 is divided by a?
9
Let u = 58 + -17. What is the remainder when u is divided by 21?
20
Let s(q) = 68*q**2 + q - 1. Let w be s(1). Suppose 4*d - w = 60. Suppose 5*p = p + d. What is the remainder when 15 is divided by p?
7
Let t(f) = 36*f**2 + 3*f - 1. Calculate the remainder when t(1) is divided by 4.
2
Let f(o) = -o**3 - 7*o**2 + 7*o - 3. Let r(u) = 7*u + 1. Let l(q) = -21*q - 3. Let v(d) = -3*l(d) - 8*r(d). What is the remainder when v(1) is divided by f(-8)?
3
Suppose 2*l + 2 = 26. Suppose 11*y = l*y - 34. What is the remainder when y is divided by 9?
7
Suppose -2*l = 3*l - 15. Let m be 1*10*(l + 1). Let p = -20 + m. What is the remainder when p is divided by 11?
9
Let y(m) = -7*m + 1. Let r = 8 + -13. Let p = -8 - r. What is the remainder when y(p) is divided by 8?
6
What is the remainder when 60 + (3 - -2) + -3*1 is divided by 11?
7
Let j(b) = 2*b + 70. Calculate the remainder when 63 is divided by j(-19).
31
Let v be 12 + (-3)/(-9)*3. Suppose 0 = 3*b - 17 - v. Suppose 5*u + b = -0*u - 5*l, -3*u - 3 = 2*l. What is the remainder when 2 is divided by u?
0
Let q be (-3 - 3/(-1)) + -6. What is the remainder when 6 is divided by (q - -3) + -2 + 8?
0
Let w(d) = 3*d + 22. What is the remainder when w(-6) is divided by 2?
0
Suppose 2*u = -2*g + 52 + 54, 0 = 3*u + g - 167. Suppose -s - 32 = -h - 4*s, -5*h - 4*s = -160. Let n = h - 17. Calculate the remainder when u is divided by n.
12
Suppose -2*o = -0*o. Suppose 8*v - 4*v - 40 = o. What is the remainder when 28 is divided by v?
8
Suppose -3*i = 5*y - 27, -5*y + i + 2*i + 3 = 0. What is the remainder when 5 is divided by y?
2
Suppose 0 = -5*r - 2 + 17. Calculate the remainder when -3*10*(-5)/r is divided by 13.
11
Suppose -2*c - 2 = -8. Suppose -c*v - 16 = -5*g - v, 4*v = 4*g - 8. What is the remainder when 7 is divided by g?
3
Let c = 8 - 4. Let o = c - 0. Calculate the remainder when o is divided by 4.
0
Let k(u) = -u - 6. Let z be k(-5). Let h = 3 - z. Suppose 0 = -3*o, -4*r + o + h*o = -52. Calculate the remainder when 38 is divided by r.
12
Let j(h) = h**2 - 5*h - 5. What is the remainder when j(-2) is divided by 3?
0
Suppose 0 = 8*m - 9*m + 2. Suppose -m*i + 57 = i. What is the remainder when i is divided by 11?
8
Suppose 2*o - 14 = -2*h - 0, -2*h + o = -2. Calculate the remainder when 6 is divided by h.
0
Let j = 0 - 0. Suppose j = 3*n - 2*n. Calculate the remainder when (n - -12)*14/4 is divided by 22.
20
Suppose -v + u = -5, 4 = 2*v + 5*u - u. What is the remainder when v is divided by 2?
0
Let h(o) = o**2 - 15*o + 2. What is the remainder when 48 is divided by h(16)?
12
Let i(k) = k**2. Let y be i(-3). Let a = y - 4. Suppose 0 = -4*j - 3*c - a, -j - j - 7 = 3*c. Calculate the remainder when 1 is divided by j.
0
Let a(z) = z**3 - 4*z**2 + z + 3. Let y be a(6). Let r = 2 + 5. What is the remainder when y/4 - (-1)/(-4) is divided by r?
6
Suppose 2*g + 6 = 4*p - 40, 5*g + 19 = 2*p. Suppose -41 = -c + p. Calculate the remainder when c is divided by 14.
11
Let j(i) = -4*i + 3. Let c(t) = -t**3 + 8*t**2 - 3*t + 2. Calculate the remainder when c(6) is divided by j(-4).
18
Let f(s) = -s**2 + 2*s + 4. Let l be 2*1 + (4 - 6). Suppose -4*d + 5*k = -9, 2*k + 2 - 8 = l. What is the remainder when d is divided by f(0)?
2
Suppose -r - 4 = 0, 5*v - 2*r - 2*r = 241. Calculate the remainder when v is divided by 13.
6
Suppose -c - 2*c - 3*q + 9 = 0, -5*c + 6 = -4*q. Calculate the remainder when 2 is divided by c.
0
Suppose -45 = -0*b - 5*b. Let t = 94 - 63. What is the remainder when t is divided by b?
4
Let w(v) = 10*v**2 - 1. Let g = 66 + -51. What is the remainder when g is divided by w(1)?
6
Calculate the remainder when 71/4 - 3/(-12 + 0) is divided by 3.
0
Suppose q = 3, -q + 7 = 5*m - 6. Calculate the remainder when 27 is divided by ((-56)/(-24))/(m/6).
6
Let z(d) = -d**3 - 17*d**2 - 17*d - 10. Calculate the remainder when z(-16) is divided by 4.
2
Let d(w) = -2*w - 1. Let b be d(-3). Calculate the remainder when 3 - b/2*-2 is divided by (-3 - (2 - 0))/(-1).
3
Let g(v) = -v**2 - 6*v + 3. Let u(f) = -f + 1. Let z(q) = g(q) + u(q). Calculate the remainder when -1 - -3 - (-1 + -26) is divided by z(-6).
9
Suppose 5 - 33 = -4*f. What is the remainder when 25 is divided by f?
4
Let i = 11 - 5. Suppose 13 = i*y - 5*y. What is the remainder when 514/14 - (-4)/14 is divided by y?
11
Let f(o) = -o**3 - 6*o**2 - 2*o - 4. What is the remainder when f(-6) is divided by (8 + 558/(-63))*-7?
2
What is the remainder when (52/(-10) - 0)*-15 is divided by 20?
18
Suppose -186 = -4*r + 34. Calculate the remainder when r is divided by 14.
13
Suppose -g = 5*f - 72 - 96, -f + 24 = 5*g. What is the remainder when f is divided by 7?
6
Let a = 31 - 5. Let v = 43 + -27. Let z = v - 7. Calculate the remainder when a is divided by z.
8
Let x be 14/18 - (-6)/27. Let a(d) = 5*d**2 - d + 1. Let y(z) = z**3 + z**2 - z + 14. What is the remainder when y(0) is divided by a(x)?
4
Let o = 61 + -38. Calculate the remainder when 65 is divided by o.
19
Suppose 23 = s - 19. Calculate the remainder when s is divided by 22.
20
Suppose -2*i - 61 = -119. Calculate the remainder when i is divided by 10.
9
Let j be (-2)/3*18/(-4). Supp