Suppose -4*o + 3*o = -52. Let u = o + -27. Calculate the remainder when u is divided by r.
11
Suppose 13 - 3 = -s - 3*x, 0 = 4*s + x - 4. Let b(p) = p**3 - 31*p**2 - 3*p + 97. What is the remainder when b(31) is divided by -1 - (0/s - 4)?
1
Let p be (-1 + 46)*(-10)/(-6). Suppose -3*b - 96 = 4*k + p, 0 = 3*k - 9. Let d = -32 - b. Calculate the remainder when d is divided by 15.
14
Let z(a) = 5*a**2 + 6*a + 6. Calculate the remainder when 53 is divided by z(-2).
11
Let a(c) = -c**2 - 15*c + 7. What is the remainder when a(-8) is divided by 8?
7
Let l = -6 - -10. Suppose -4*m = -2*m - l. Suppose -m*k = -z + 12, z = 4*z + 5*k + 19. Calculate the remainder when 4 is divided by z.
0
Let d(i) = i**3 + 9*i**2 + 19. What is the remainder when 93 is divided by d(-9)?
17
Suppose 9 = 2*h - 1. Suppose -3*t - h*v + 149 = -t, -3*v - 450 = -5*t. Suppose 4*a - 5 = t. What is the remainder when a is divided by 8?
7
Suppose 24 + 7 = 5*q + x, -q = -2*x - 4. Calculate the remainder when 22 is divided by q.
4
Suppose -12*v + 68 = -10*v. Calculate the remainder when (-1 + 0/4)*-66 is divided by v.
32
Let c(r) = -2*r - 19. What is the remainder when 15 is divided by c(-12)?
0
Suppose -z - j + 36 = 3*j, -4*z - j + 69 = 0. What is the remainder when 62 is divided by z?
14
Suppose 0*q - q = -10. Suppose 1 = -d - a + 9, 3*d = -2*a + 20. Calculate the remainder when q is divided by d.
2
Let n(r) = r**3 + 3*r**2 - 5*r. Calculate the remainder when 14 is divided by n(-4).
2
Let i = 59 + -28. Suppose i = 3*f - 62. Suppose -3*k + 4*k = -5*t + 31, -4*k + 64 = 5*t. Calculate the remainder when f is divided by k.
9
Suppose 0 = y + 7*c - 2*c + 8, 3*c + 6 = -y. Let l(a) = -5*a + 4. What is the remainder when l(y) is divided by 10?
9
Let j(g) = 4*g + 2. Let v be j(2). Suppose 5*x - v = -0. Suppose x + 13 = 5*d. Calculate the remainder when 4 is divided by d.
1
Let a(j) = -2*j**2 - 30*j + 15. Suppose -s = h - 27, -h + 41 = 3*s - 40. What is the remainder when s is divided by a(-15)?
12
Let k(x) = x**3 - x. Let v be k(-1). Suppose -2*u + 27 + 27 = v. What is the remainder when u is divided by 14?
13
Let r = 0 - 5. Calculate the remainder when (24/(-3))/(1/r) is divided by 14.
12
Suppose 0 = -l + 37 + 4. Calculate the remainder when l is divided by 4.
1
Let l be 0/1 + -31 + 2. Let g = l + 41. Calculate the remainder when 23 is divided by g.
11
Let r = 3 + 10. What is the remainder when r is divided by 7?
6
Let p(u) = -u**2 + 7*u - 2. Let n(v) = v**2 - 5*v - 3. Calculate the remainder when n(8) is divided by p(5).
5
Suppose 6*x - 3*x - 18 = 0. Let j(s) = 4*s - 6. What is the remainder when 4/x + (-79)/(-3) is divided by j(4)?
7
What is the remainder when 46 is divided by (-1)/(-2)*(7/7 + 23)?
10
Suppose -4*h + 0*h + 44 = 0. Calculate the remainder when h is divided by (-1)/(11/(-15) + 4/10).
2
Let k(b) = b**2 + b + 10. Calculate the remainder when 19 is divided by k(0).
9
Let z(t) = t**3 + 6*t**2 - 9*t + 4. Let k be (9 - 2)/((-3)/6). Let a = 24 + k. Calculate the remainder when z(-7) is divided by a.
8
Let k(n) = -n**2 + 2*n + 4. Let y be k(3). Let r be (y + -1 - -41)*1. Let q = -19 + r. What is the remainder when q is divided by 12?
10
Let u = -58 + 74. Calculate the remainder when 43 is divided by u.
11
Suppose 30 + 48 = 3*r. Let o = -70 - -77. Calculate the remainder when r is divided by o.
5
Let n(q) = -q**2 + 9*q + 4. Calculate the remainder when n(3) is divided by 3.
1
Suppose 7*t - 119 = 3*t - 5*i, 5*i = 4*t - 129. Calculate the remainder when t is divided by 17.
14
Calculate the remainder when 32 is divided by 7/((1 - -2) + (-6)/3).
4
What is the remainder when (-2)/(-7) - (-10735)/133 is divided by 28?
25
Let c(l) = l**2 - l + 5. Let n be c(0). Suppose 0 = n*p - 8*p + 330. Suppose -20 = 2*m - p. Calculate the remainder when m is divided by 12.
9
Suppose -3 = 2*a - 9. Suppose -4*p = 12, -a*b = -b + 4*p + 6. What is the remainder when b is divided by (-3)/(2 + (-14)/4)?
1
Let t(w) = -4 + 4*w**2 - w + 13 - 3*w**2. Let d be t(0). Suppose d + 7 = 4*o. What is the remainder when o is divided by 3?
1
Suppose 9 = 2*x + x. Suppose z = -x*z + 40. Let w(a) = -a**3 - 6*a**2 - 6*a + 1. Calculate the remainder when z is divided by w(-5).
4
Suppose -f + 2*u - 1 = 0, -3*f - 2*u + 16 = f. Suppose 0*d + 51 = f*d. What is the remainder when 49 is divided by d?
15
Let v be ((-24)/(-9))/((-2)/(-3)). Suppose 2*o + 20 = v*o. What is the remainder when 38 is divided by o?
8
Suppose 0 = -5*m + 6 + 44. Let s = 26 - -3. What is the remainder when s is divided by m?
9
Suppose -4*b - 5 + 13 = 0. Suppose -b*z - z = -42. What is the remainder when z is divided by 5?
4
Let d(p) = p**2 - 5. Suppose 4*m - 54 = -2*z, -7*m + 4*m + 58 = 5*z. Calculate the remainder when d(-5) is divided by m.
9
Calculate the remainder when 39 is divided by (-1 - -9) + 0 + 0.
7
Let a be 1*15/(-9)*-3. Suppose a*u = -0*u + 210. Let h = -12 + 23. Calculate the remainder when u is divided by h.
9
Let w(h) = 2*h - 7. Let d be w(8). Suppose p = -d*x + 4*x + 28, 5*x - 10 = 5*p. What is the remainder when 9 is divided by x?
4
Suppose -5*u + 7*x = 3*x - 51, 2*x + 20 = 2*u. What is the remainder when u is divided by ((-3)/(-2))/(4/8)?
2
Suppose 0 = -2*a - 2*j + 42, 0*a - 4*j = -a + 36. Calculate the remainder when 69 is divided by a.
21
Suppose 3*p - 113 - 13 = -3*l, -2*p - l + 86 = 0. Let g(j) = j + 7. Let a be g(-5). Suppose 17 = a*f - 13. What is the remainder when p is divided by f?
14
Calculate the remainder when 4/22 - 722/(-22) is divided by 12.
9
Let h(y) = 2*y**2 + 6*y - 11. Calculate the remainder when 32 is divided by h(-5).
5
Let l(c) = 2*c**2 + 42*c - 43. Calculate the remainder when 95 is divided by l(-23).
46
Let z = -56 - -83. What is the remainder when 107 is divided by z?
26
Suppose -5*q - 30 = 3*s, 0 = 5*q - s + 70 - 20. Let x = 16 + q. Calculate the remainder when x is divided by -3 + 11 + -1 - 3.
3
Suppose -i + 4*s - s = -37, -5*s - 15 = 0. Calculate the remainder when i is divided by 16.
12
Let m = 66 - 43. Suppose -121 - 94 = -5*b. Calculate the remainder when b is divided by m.
20
Suppose v - 22 + 4 = -u, -v + u + 18 = 0. Suppose -60 = -2*h - v. Suppose -3*k + h = -15. What is the remainder when k is divided by 7?
5
Let q = 15 + 4. What is the remainder when q is divided by 12?
7
Let f(a) = a + 2. Calculate the remainder when (-4)/(-6) - (-19)/3 is divided by f(2).
3
Let m(w) = w**2 + 4*w + 1. Let k be m(-5). Let x be (k/5)/(10/25). Suppose 0 = x*v + v - 28. Calculate the remainder when 27 is divided by v.
6
Suppose -u + 9 = -0. Suppose -4*p + u = 1. Suppose p*k - 48 = -k. Calculate the remainder when 31 is divided by k.
15
Let f = 4 + -6. What is the remainder when (-6)/(-9) + 61/3 is divided by 2*f*(-55)/20?
10
Suppose z + 2 = 3*z. Let k be (z/1)/(6/12). Suppose k*m + 3*m + 32 = d, 0 = -d - 5*m + 2. Calculate the remainder when d is divided by 6.
5
Suppose 9 = 5*x - 6. Suppose -h - 8 = h + x*y, -5*h - 2*y + 2 = 0. Suppose f - w = -2*f + 26, -10 = h*w. Calculate the remainder when f is divided by 4.
3
Suppose 576 = 3*f - 5*w, 10*w = 8*w + 6. What is the remainder when f is divided by 20?
17
Let r = 37 + -20. What is the remainder when r + -1 + (4 - 3) is divided by 6?
5
Suppose -32 = -c + 3*c. Let q = 27 + c. Suppose 0 = 3*j - q - 40. What is the remainder when j is divided by 9?
8
Let i = -15 - -28. What is the remainder when (5 + -4)/(1/38) is divided by i?
12
Let i = -6 + 26. Calculate the remainder when 30 is divided by i.
10
Let d = 167 - 156. What is the remainder when d is divided by 7?
4
Suppose 3*l = 113 + 181. What is the remainder when l is divided by 33?
32
Suppose 0 = -0*v + 4*v - 64. Calculate the remainder when 6/((-24)/14)*-18 is divided by v.
15
Suppose -4*s + 1 = 5*q - 2, 5*q = -5*s. Let x(w) = -w**3 - 8*w**2 - 7*w + 3. Let g be x(-7). What is the remainder when g/9 - (-8)/3 is divided by q?
0
Suppose -34 = 2*z - 126. Suppose 0 = 5*x - 5*i - 115, -2*x + 7*x - i = 119. Calculate the remainder when z is divided by x.
22
Let o(a) = 4*a + 1. Suppose 3*f - g = -0*g - 11, 4*f = -4*g - 20. Let h = 3 - f. What is the remainder when o(3) is divided by h?
6
Suppose -3*w + 35 = -y, w + 2*y - 1 - 6 = 0. What is the remainder when 20 is divided by w?
9
Let i = 113 + -36. Calculate the remainder when i is d