Let y be (-124)/j*(-6)/1. Suppose -3*u + 3*p + y = p, -p = 5*u - 224. What is the remainder when u is divided by 15?
14
Let y(t) = 3*t**2 + 19*t - 11. What is the remainder when 115 is divided by y(-8)?
28
Let j = 51 - 95. Let q = j + 81. What is the remainder when q is divided by 13?
11
Let q(a) be the first derivative of -5*a**3/6 - 2*a**2 + 3*a - 1. Let m(u) be the first derivative of q(u). What is the remainder when m(-4) is divided by 9?
7
Suppose 0 = m + 4*m - 30. Calculate the remainder when 65 is divided by (15 - -2) + 0/m.
14
Let u(x) = -3*x**2 - 4*x - 2. Let j be u(4). What is the remainder when 8/(-6)*j/4 is divided by 6?
4
Suppose 5*l - x = x + 265, -x + 280 = 5*l. What is the remainder when l is divided by 29?
26
Let s(f) = f**3 + 7*f**2 + f + 9. Let x be s(-7). Suppose -5*g + 13 = -12. What is the remainder when (x - 36/(-8))*2 is divided by g?
3
Let d = 23 + -13. Let c = d + -8. Let a = -3 + 7. Calculate the remainder when a is divided by c.
0
Let p(f) = 2*f**2 - 3*f - 4. Suppose 34 + 18 = 4*x. Calculate the remainder when p(-3) is divided by x.
10
Let i = -8 + 3. Let x = i + 4. What is the remainder when 29 is divided by 1 - 0 - x*14?
14
Calculate the remainder when 96 is divided by ((-5)/(-5) - 13)*22/(-8).
30
Suppose -3*l + g = -36 - 11, 2*g + 9 = l. Suppose -h - l = -2*h. Calculate the remainder when 32 is divided by h.
15
Suppose 83 = 7*i - 190. What is the remainder when i is divided by 17?
5
Suppose -4*f + 44 = -4*j, -2*f + 46 = 3*f + 4*j. Suppose -4*k + f + 14 = 0. What is the remainder when 23 is divided by k?
5
Suppose n + 5*d - 28 = -0*n, -3*n = -2*d - 118. What is the remainder when 75 is divided by n?
37
Let z(l) = -l**3 - 6*l**2 - 4*l + 7. Let g be z(-5). Suppose -4*y - 47 = -s, 4*s - g*y + 113 - 343 = 0. What is the remainder when s is divided by 12?
11
Let u be (276/10)/(4/10). Suppose -5*z = w - 135, -w + 5*z + 26 = -u. Suppose -3*c + w = 2*c. Calculate the remainder when c is divided by 13.
10
Suppose j + 57 = 4*j. Suppose 5*b - 4*g - 75 = 0, -6*b - g + 75 = -b. Suppose -b = -2*z - 1. What is the remainder when j is divided by z?
5
Let x be ((-2)/(-3))/(2/6). What is the remainder when (6/8)/(x/120) is divided by 12?
9
Suppose -4*b - b - 40 = -5*t, 4*b = -t - 7. Let y = 13 + -7. Calculate the remainder when b + (-36)/(-3) + 1 is divided by y.
4
Suppose 6*g - k + 1 = 3*g, -3*k + 14 = 2*g. What is the remainder when 1 + -1 + 0 + 1 is divided by g?
0
Suppose -3*i + t + 6 = 0, -3*i - 2*t + 2 = -4. Let o(v) = v**2 + v - 1. Calculate the remainder when 19 is divided by o(i).
4
Suppose -42 + 288 = 3*u. What is the remainder when u is divided by 28?
26
Suppose 2*t + 275 = 5*i, 5*i - 2*i = t + 165. Suppose k = -12 + i. Calculate the remainder when k is divided by 9.
7
Let i = -105 + 118. What is the remainder when 49 is divided by i?
10
Let u = -16 - -22. Let y be 1*(-8 - 1/1). Calculate the remainder when u is divided by -5*(1 + y/5).
2
Let c be (-8)/12*207/(-6). Let t = c - -26. Calculate the remainder when t is divided by 17.
15
Let a(x) = -x**2 + 5*x - 1. Let l be a(4). What is the remainder when 1/l - 298/(-6) is divided by 17?
16
Let r(i) = i**2 + 8*i - 4. Calculate the remainder when r(8) is divided by 32.
28
Suppose -5*d - 3*h + 33 = 0, -3*d = -4*h + h - 39. Let y be (14/(-4))/((-2)/4). Suppose -y - 10 = -j. What is the remainder when j is divided by d?
8
Let z(j) = -5*j - j**3 - 9*j + 11 + 15*j + 2*j**3 - 12*j**2. What is the remainder when 66 is divided by z(12)?
20
Let d = -4 + 54. Let c = d - 18. What is the remainder when c is divided by (5 - 4)/(1/17)?
15
Let c(i) = -2*i**3 + 2*i**2 + 2*i - 1. Suppose q = 5*a + 12, -3*a + 4*q = -2*a - 9. Calculate the remainder when c(a) is divided by 17.
14
Suppose -6 = 2*d - 4. Let p = d - -8. Calculate the remainder when p is divided by 4.
3
Calculate the remainder when (-5)/(-2)*340/25 is divided by ((-1)/((-2)/24))/1.
10
Let j = 28 + -20. Let r = -28 - -54. Calculate the remainder when r is divided by ((-90)/j)/5*-4.
8
Suppose 2*g = -3*f - 6 + 16, -f - 42 = -5*g. Let d(n) = -n**2 + n + 8. What is the remainder when g is divided by d(3)?
0
Let h(t) = t**2 + 6*t - 6. Let i be h(-8). Suppose 5*j = 4*j - 2*b + i, -5*j = -2*b - 62. What is the remainder when 22 is divided by j?
10
Let b = 18 + 4. Let l(c) = 5*c - 12*c + 0 + 2 - c**2. Calculate the remainder when b is divided by l(-5).
10
Suppose -105 = -8*t + 3*t. Calculate the remainder when 102 is divided by t.
18
Suppose 0 = a + 5*s - 5, 3*a + 3*s + 21 = 4*a. Calculate the remainder when -3 + (-3 - (-3 + -32)) is divided by a.
14
What is the remainder when 17 - (-5)/(15/12) is divided by 14?
7
Let m be 4/(-2)*(-1)/2. Suppose y + m = 6. What is the remainder when y is divided by 3?
2
Let h = 36 + -3. What is the remainder when h is divided by 12?
9
Let i be 1*2*26 + -1. Suppose -3 - i = -3*q. Suppose 3*j = 2*s - 4*s + q, -24 = -4*j + 2*s. What is the remainder when 17 is divided by j?
5
Let o(g) = -g**2 + 9*g - 8. Let p be o(8). Suppose -4 = -p*w - 2*w. Calculate the remainder when 43 is divided by (w/(-4))/((-8)/176).
10
Suppose -5*g + 27 = -63. What is the remainder when g is divided by 12?
6
Suppose 5*u - 4*p - 38 = 0, -37 = -7*u + 3*u + p. What is the remainder when 19 is divided by u?
9
Suppose -2*j - 8 = 0, 15*j - 12*j = -g + 11. What is the remainder when 83 is divided by g?
14
Let w(x) = -x**3 - 7*x**2 - 3*x - 1. What is the remainder when 32 + (-9)/(-3) - -2 is divided by w(-7)?
17
Suppose 3*r - 3 = -0. Let t(n) = -2*n - 10. Let s be t(-7). Let w = -3 + s. Calculate the remainder when w is divided by r.
0
Let x(z) = 7*z + 5. Let h be x(8). Let p = 3 - h. Let s = 83 + p. What is the remainder when s is divided by 9?
7
Suppose -q = 2*q. Suppose 4*r - a - 8 = q, -4*r - 1 = 2*a - 9. Calculate the remainder when r is divided by 1.
0
Suppose 4 - 13 = -3*h. Let r be (-4)/(h*-1 + 2). Suppose -26 = -r*k + 2*k. Calculate the remainder when k is divided by 5.
3
Calculate the remainder when 134 is divided by (-3 - 2)/(1 - 16/14).
29
Suppose 0 = 2*r - 47 - 9. Calculate the remainder when r is divided by 15.
13
Let s = -16 + 24. Let f = -34 - -20. Let i = f - -36. Calculate the remainder when i is divided by s.
6
Suppose 0 = -2*l - 4, -2*z = z + l - 88. Suppose -3*h + 192 = -3*x, -h + 280 = 4*h + 3*x. Let f = h - z. What is the remainder when f is divided by 10?
9
Suppose 38 = g + 4*s, 4*s = -4*g + 78 + 38. What is the remainder when 49 is divided by g?
23
Suppose 2 = -2*q, -25 = -n + q - 0. Let f(l) = -2*l**3 - l**2 - 2*l - 3. Calculate the remainder when n is divided by f(-2).
11
Let m = 57 + -25. What is the remainder when 62 is divided by m?
30
Suppose -w + 9 = 4*l, 2*l = l. Suppose -q = -4*q + 78. Calculate the remainder when q is divided by w.
8
Suppose 2*v = -4*q + 148, -5*v - 33 - 104 = -3*q. Calculate the remainder when q is divided by 0 + (1 - 1) - -10.
9
Suppose -2*h = -7*h + 30. Suppose -21 + h = -u. Calculate the remainder when u is divided by 3 + (0 - (-1 + 0)).
3
Let t be (-3)/9*0 + 3. What is the remainder when -3 + t - (-26)/1 is divided by 14?
12
Let m = -78 + 204. Calculate the remainder when m is divided by 32.
30
Let s = -40 + 105. Let k = s - 44. Calculate the remainder when 81 is divided by k.
18
Suppose -3*a + 58 + 32 = 0. Calculate the remainder when a is divided by 8.
6
Let r be (-36)/48 + (-22)/(-8). Calculate the remainder when 3 - (r*20)/(-1) is divided by 22.
21
Suppose -64 - 61 = -5*s - 3*p, 78 = 4*s - 2*p. Let d = s - 14. Calculate the remainder when 8/10*715/26 is divided by d.
6
Suppose 0 = 5*s + 2 + 8. Let z = 4 + s. Suppose 2*b + 8 = 4*b, 2*f + 5*b - 22 = 0. Calculate the remainder when z is divided by f.
0
Suppose -2*m + 13*m = 33. Calculate the remainder when 38 is divided by m.
2
Let y(i) = -14*i. Let v be 2 + (-2 - 1/1). Calculate the remainder when 66 is divided by y(v).
10
Let l be 1/(13/7 - 2). Suppose 55 = 5*x + q, 4*x - 5*x + 4*q - 10 = 0. Let u = x - l. Calculate the remainder when u is divided by 6.
5
Suppose -51 = -5*h + 4*u, 0*h + u + 54 = 5*h. Calculate the remainder when 18 is divided by h.
7
Suppose 2344 - 669 = 5*s - l, 992 = 3*s + 2*l. Calculate the remainder when s is divided by 56.
54
Suppose 0 = -3*n - 0*n + 9. Suppose -t + n*t - 4 = 0. Suppose 4*p - 26 = t*p. Calc