 = -g, 3*g + 4*n = 21. Suppose -5*k = -2*h + 24 + 12, h = g. Calculate the remainder when (k + -1)*60/(-14) is divided by 11.
8
Let a(x) = 4*x - 1 - 2*x - 18*x. Suppose -125 = -4*k - 9. What is the remainder when k is divided by a(-1)?
14
Suppose 21 = 4*h - 23. What is the remainder when 28 is divided by h?
6
Suppose 3*i - 5*h = 10 + 28, 2*h = i - 11. Suppose 0 = 3*s - i - 0. Calculate the remainder when 26 is divided by s.
5
Suppose -16 = -0*g + 4*g, -4*g - 8 = 4*w. Suppose -w*h - h = -84. Calculate the remainder when h is divided by 10.
8
Let t(w) = 5*w + 54. What is the remainder when 49 is divided by t(-8)?
7
Let k be (30/9 + -2)*3. Let r = k + 33. Calculate the remainder when r is divided by 13.
11
Suppose -4*j + 56 = -0*b + 2*b, -2*j + 44 = -3*b. Let c = 35 + -24. Calculate the remainder when (-5 + 1)/((-2)/j) is divided by c.
10
Let s(j) = -j + j**3 + 0*j**3 + 6*j**2 - 2*j**3 - j**2. What is the remainder when s(4) is divided by 7?
5
Suppose 20 = y - 3*z, 2*y - 2*z - 22 - 2 = 0. Let m(f) = f**3 - 8*f**2 + 6*f - 5. What is the remainder when m(y) is divided by 11?
10
Let r = -47 - -67. Suppose -3*d + 0*z + 2*z + 13 = 0, -11 = -3*d + 4*z. Suppose 0 = -d*u + 121 + 169. Calculate the remainder when u is divided by r.
18
Calculate the remainder when 264 is divided by (-40)/(1 + -2) - (-8)/(-4).
36
Suppose -a = -0*a - 5. Suppose 2*n + 6 = a*n. Let p(z) = z**3 - 9*z**2 + 7*z + 11. Calculate the remainder when p(8) is divided by n.
1
Let s = 95 - 69. What is the remainder when 125 is divided by s?
21
Let o = 59 + 8. Calculate the remainder when o is divided by 24.
19
Let q(s) = s**3 - s**2 + s - 2. Let i be q(-2). Let j = 21 - i. Suppose 33 = 3*c - 2*y, y = 3*c + 7 - j. Calculate the remainder when c is divided by 5.
4
Calculate the remainder when (-60)/(-8)*(-16)/(-6) is divided by 12.
8
Let o(t) = -t**3 - 18*t**2 + 15*t - 8. What is the remainder when o(-19) is divided by 6?
2
Let a be (4 - 1)*(3 + -2). What is the remainder when (-1 - -2)/(a/21) is divided by 3?
1
Let o(l) = -l**2 - l + 50. Suppose 5*j = z - 25, -2*j = -4*z - 4*j - 10. What is the remainder when o(z) is divided by 26?
24
Suppose 16 = 2*g - 0*g. Let s = g - 5. Suppose b + 8 = 3*b. Calculate the remainder when b is divided by s.
1
Let j(x) = -x + 2. Let i(k) = -k**2 - 8*k - 5. Let c be i(-7). What is the remainder when ((-52)/(-10))/(c/5) is divided by j(-3)?
3
Suppose -2*a = -8, 2*z + 35 = a - 15. Let w be ((-34)/8)/((-8)/64). Let x = z + w. What is the remainder when 31 is divided by x?
9
Suppose 83 = 5*u + 13. Suppose -c = l + 26 - 79, 0 = 3*l - 4*c - 173. What is the remainder when l is divided by u?
13
Suppose 179 = 5*h + 59. Suppose q + h = 3*q. What is the remainder when 33 is divided by q?
9
Let z(m) = -m**3 + 10*m**2 - 7*m - 10. Let o be z(9). Let r = o - 1. Calculate the remainder when 19 is divided by r.
5
Suppose -5*w = -u + 5, -w + 11 = u - 4*w. Calculate the remainder when u is divided by 6.
2
Let w = 84 - 16. Suppose 0 = s + x - 37, -3*x + 4 = -2*s + w. Let g = -19 + s. What is the remainder when 47 is divided by g?
15
Let r(d) = 2*d**2 + d - 1. Let h be r(1). Suppose -h*p = -27 - 1. What is the remainder when 54 is divided by p?
12
Suppose 44 - 134 = 3*z + 4*d, -z + 4*d = 46. Let x be z/9 - 2/9. Calculate the remainder when (-15 - x)/(-1 + 0) is divided by 6.
5
Let j be -5*3/(-10)*4. What is the remainder when 3/(-2) + 219/j is divided by 12?
11
Let u(a) = 6*a - 5. Let n = -1 + 1. Let o = 2 + n. Calculate the remainder when o is divided by u(1).
0
Let o(n) = 10*n**2 - 2*n + 9. What is the remainder when o(3) is divided by 20?
13
Suppose 0 = -y, -5*p - 3*y = 22 - 2. Let g(r) = -13*r - 4. Calculate the remainder when g(p) is divided by 25.
23
Let x(f) = 6*f**3 - 7*f**2 - 12*f - 7. Let p(q) = -q**3 + q + 1. Let u(j) = 5*p(j) + x(j). What is the remainder when 17 is divided by u(8)?
5
Suppose -4*a + 49 = 3*c, -6*a + 2*c - 16 = -7*a. Suppose 2*j - 43 = 31. Calculate the remainder when j is divided by a.
7
Suppose 2*t - 4*t = -8. Suppose -t*v = v - 5. Calculate the remainder when 2 is divided by v.
0
Let g(f) = 4*f - 5. Let w be g(-5). Let i = 5 - w. What is the remainder when i is divided by 11?
8
What is the remainder when (-1118)/(-7) - -3 - 4/(-14) is divided by 33?
31
Suppose z - 5 = 0, 5*h - 2*z - z = 15. Calculate the remainder when h is divided by (-42)/(-15) + (-1)/(-5) - -1.
2
Let o(j) = 8*j - 9. Calculate the remainder when o(7) is divided by 12.
11
Suppose 5*d + 2 + 8 = 2*h, 4*h + d = 20. What is the remainder when 19 is divided by h?
4
Suppose -3 = -4*w + 9. Let k(a) = 27*a - 3. Calculate the remainder when k(2) is divided by (15 - -1) + (-9)/w.
12
Let k = 9 - 34. Let g be 2/10 + 805/k. Calculate the remainder when ((-3)/2)/(3/g) is divided by 9.
7
Let n(w) = 2*w**3 + w**2 - w. Let f be n(1). Suppose -f*t = t - 114. What is the remainder when t is divided by 10?
8
Let b = -21 + 34. What is the remainder when (-45)/6*40/(-6) is divided by b?
11
Suppose -f + 3*f - 4 = 0. Suppose q = -3*u + 8, -f*q + 2*u + 9 = u. Suppose 4*g - 90 + 17 = -q*z, 57 = 3*g + 3*z. What is the remainder when g is divided by 12?
10
Suppose -11 - 21 = -2*o. What is the remainder when 29 is divided by o?
13
Suppose 2*f = 5*u + 5*f - 289, -3*u - f + 171 = 0. Let h be 6/18 - u/6. Calculate the remainder when 37 is divided by 3*((-84)/h - 3).
18
Suppose 10 = -2*q, 4*t + 2 + 2 = -4*q. Suppose -x + 110 = 5*o, x - t = o - 4*x. Calculate the remainder when 41 is divided by o.
20
Suppose 0 = -4*z - 10 + 54. Let g = 15 - z. Calculate the remainder when g is divided by -2*2/(-10)*5.
0
Let q be 0 + -12 - (-3 - -3). What is the remainder when ((-1)/(-2))/((-2)/(-128)) is divided by 6/q*(-21 + -1)?
10
Suppose -5*m = 5*t - 53 + 13, -3*t + 14 = -2*m. Let u = 11 - t. What is the remainder when u is divided by 2?
1
Let f(p) = -p**2 - 10*p + 10. Let y be f(-9). Suppose 3*l - 176 = y. Let t = -21 + l. Calculate the remainder when t is divided by 15.
14
Suppose 0*f = -f + 2. Suppose 12 = 4*n + j, -3*n = -f*j - 14 - 6. Calculate the remainder when 7 is divided by n.
3
Let s(j) = j**3 - 5*j**2 + 2*j + 2. What is the remainder when s(6) is divided by 13?
11
Suppose -22 = -3*i + 2. Let c(f) = 3*f**3 + f**2 + f - 2. Let n be c(2). Let q = 50 - n. Calculate the remainder when q is divided by i.
6
Suppose 0*l = -3*l - 3*b + 60, 70 = 5*l - 5*b. Calculate the remainder when 185 is divided by l.
15
Suppose 5*s = -62 - 78. Let a(l) = -2*l**2 + 11*l - 7. Let i be a(8). Let x = s - i. What is the remainder when x is divided by 5?
4
Let f(c) = -3*c + 13. Let x be f(4). Let r = x - -24. Suppose 2*g - 5*z - 141 = 0, -4*g + 2*z - 8 = -298. Calculate the remainder when g is divided by r.
23
Let i = 93 - 67. What is the remainder when i is divided by 14?
12
Let i = 6 + 10. Suppose -7*v + 3*o = -2*v + 79, 2*v + 44 = -5*o. Let j = 14 - v. Calculate the remainder when j is divided by i.
15
Suppose -2*f + 77 - 23 = 0. Suppose l + f = b - l, 5*l = b - 42. Calculate the remainder when 31 is divided by b.
14
Let j(v) = -v**2 + 10*v + 3. Suppose 3*n + 0*n - 18 = 0. Suppose -s - 2*u = -19, -2*u + n = 3*s - 31. Calculate the remainder when 35 is divided by j(s).
11
Suppose 5*f - 2*k = 14, 2*f + 4*k - 1 = 19. Suppose 2*b - 3 - 9 = 0. Let l(x) = x**3 - 7*x**2 + 8*x - 6. What is the remainder when l(b) is divided by f?
2
Let o = -30 - -36. What is the remainder when 13 is divided by o?
1
Let o = 24 + -10. Calculate the remainder when 39 is divided by o.
11
Suppose 2*f - 7*f = -60. Let m = 9 - 4. Suppose -3*l = 5*y - 36, 4*l - 5*l + m*y - 8 = 0. Calculate the remainder when f is divided by l.
5
Let y(m) = m**2 - 7*m - 22. Calculate the remainder when 27 is divided by y(10).
3
Let d(w) = -w**3 - 6*w**2 - w + 8. Let x be d(-6). Suppose x = -2*s + 4*s. Calculate the remainder when s is divided by 3.
1
Suppose -2*x = -2*j + 24, 0 = -5*x - 4*j - 19 - 23. Let g = x + 18. Calculate the remainder when 23 is divided by g.
7
Suppose 0 = x + 2*k - 6, -2*k + 6 = 2*x - 4. What is the remainder when 18 is divided by x?
2
Let v = -13 - -15. What is the remainder when 3 is divided by v?
1
Let a = -4 - -6. Calculate the remainder when 45 is divided by 15 + 0 - (1 + a).
9
Let p(l) = 2*l - 2. Let u(j) = -1. Let g be (-4)/6*(-3 + -3). Let y(q) = g*u(