 15.
10
Suppose 5*h = 3*v - 34, 0 = -0*v + 4*v - 3*h - 38. Let u(o) = -13*o + 1. What is the remainder when u(-1) is divided by v?
6
Suppose 3*q - 6*q + 9 = 0. What is the remainder when 10 is divided by q?
1
Suppose -5*p + 182 = 4*f - 471, 2*f + 139 = p. Calculate the remainder when p is divided by 45.
43
Let d = 45 + -28. What is the remainder when 66 is divided by d?
15
Let r(h) = -h**2 + 12*h - 5. Let f be r(11). Let z = 25 - -10. Suppose d = f*d - z. What is the remainder when d is divided by 4?
3
Let d be (2/6*0)/(-3). Suppose d*m + 10 = 2*m. What is the remainder when 18 is divided by m?
3
Suppose -11*x + 57 = -8*x. What is the remainder when 54 is divided by x?
16
Suppose -60 = m + 3*m. Let z = -9 - m. Suppose -j = -23 + z. Calculate the remainder when j is divided by 6.
5
Suppose -m - j + 5*j = 14, -4 = -4*m + j. Let b(o) = o**2 - 6*o + 1. Let c be b(6). Calculate the remainder when m is divided by (-1)/(-1)*c/1.
0
Let c(b) = 2*b**2 - 8*b - 10. Let t be c(7). Suppose 2*y + 0 = t. What is the remainder when 4/(-6) - 280/(-6) is divided by y?
14
Let c(g) = -6*g - 11. What is the remainder when c(-5) is divided by 12?
7
Let d = -1 + 2. Calculate the remainder when 31 is divided by 6 + 3 + d*2.
9
Calculate the remainder when (-49)/28*(-43 + -1) is divided by 20.
17
Let p(c) = -c**3 - 5*c**2 + 4*c + 2. Suppose -5*g - 24 = -g. Let q be p(g). What is the remainder when 27 is divided by (q/6)/((-1)/(-3))?
6
Let r(d) = d + 28. Calculate the remainder when r(-11) is divided by 3.
2
Suppose 0 = 9*n - 11*n + 70. Calculate the remainder when n is divided by 20.
15
Let p be (9 + 3)/((-2)/(-27)). Suppose 24 - p = -6*o. What is the remainder when 66 is divided by o?
20
Suppose 0 = r + x - 14, 4*r - 5*x - 1 - 19 = 0. Let a be (1 - 2/r)*-5. Calculate the remainder when 3 + -1 + a/(-2) is divided by 2.
0
Let i(r) = -5*r - 4. What is the remainder when 82 is divided by i(-5)?
19
Suppose 55*d + 69 = 58*d. Let c = -6 + 14. Calculate the remainder when d is divided by c.
7
Let q(o) = -o**3 + 7*o**2 - 6*o + 4. Suppose -3*i + 4*u - 12 = 12, 5*i - 5*u = -40. Let y = i - -14. Calculate the remainder when q(y) is divided by 3.
1
Suppose 23*a - 416 = 15*a. What is the remainder when a is divided by 8?
4
Let f = -55 - -81. Let h be (-1)/(-4) - (-75)/20. Suppose -39 = -h*s - 3. What is the remainder when f is divided by s?
8
Let g be -2*(-6)/(-4) + 43. Suppose -v + g = 18. What is the remainder when 87 is divided by v?
21
Suppose 4*j = -2*i - 4, -4*i - 3*j + 8 = 1. Suppose 0 = 2*w - i. Let q = w - -3. Calculate the remainder when q is divided by 3.
2
Let o = -1 - -11. Suppose p = -0*p + 2. Suppose 0 = -p*j + 7*j + q - 26, q = j - 10. Calculate the remainder when o is divided by j.
4
Let l(k) = -k + 2. Let x = -8 - -6. What is the remainder when l(0) is divided by 2/(x/1) + 3?
0
Let f(m) = m**2 + 48. Let u be f(0). Suppose 0 = 5*v - 2*v - u. What is the remainder when 45 is divided by v?
13
Suppose -j - 10 = -2*v, -j = 5*v - 0*j - 11. Calculate the remainder when v is divided by (-4 + 1)*(-2)/2.
0
Let u be 2 + (4 - 1698)/2. Calculate the remainder when u/(-52) - (-6)/8 is divided by 5.
2
Suppose c - 90 = -2*c. Calculate the remainder when (-3 - -3) + 2 + c is divided by 11.
10
Suppose -132 = -5*a + 4*h, 0 = 4*a - 0*a + h - 93. Let s = 59 - -12. What is the remainder when s is divided by a?
23
Let p = 127 + -116. Calculate the remainder when 12 is divided by p.
1
Let f = -32 - -36. What is the remainder when f is divided by 3?
1
Let s(t) = -t + 13. Calculate the remainder when 62 is divided by s(-6).
5
Let x(v) = -6*v**2 + 5*v - 2. Let c(r) = 7*r**2 - 4*r + 1. Let b(h) = 5*c(h) + 6*x(h). Calculate the remainder when b(7) is divided by 8.
6
Let j = -46 - -174. Calculate the remainder when j is divided by 19.
14
What is the remainder when 2 + -2 + -2 + 13 is divided by 8?
3
Let b(i) = -i**3 + 2*i**2 + 3*i + 4. What is the remainder when b(3) is divided by 2?
0
Suppose 132 = 4*z - 2*l, -5*z = 5*l - 153 - 12. Let g = -59 + 77. Calculate the remainder when z is divided by g.
15
Let p = 240 + -164. Suppose -2*j - 42 = -4*o, -3*o - 3*j + p = 22. What is the remainder when 25 is divided by o?
12
Let i = 4 - 1. Suppose -i*v - 3*j + 87 = 0, 2*v + 20 = 3*v - 2*j. Calculate the remainder when 51 is divided by v.
25
Suppose -2*u + 51 = x, -4*u + 14 = 2. Let f(w) = w**3 + 5*w**2 - 9*w - 6. What is the remainder when x is divided by f(-6)?
9
Suppose -3*p + 53 = c, 5*c - 90 = -5*p + 15. Suppose 0 = -x + 6*x - 225. Let i = 2 + x. Calculate the remainder when i is divided by p.
15
Suppose -91 = 5*v - 246. What is the remainder when v is divided by (2 - -4)/(3/8)?
15
Let k(b) = -4*b + 11. What is the remainder when k(-4) is divided by 10?
7
Let v(w) = 9*w - 2. Let t be v(2). Let a = 28 - t. What is the remainder when (-11)/(((-3)/2)/3) is divided by a?
10
Suppose 0 = -0*x - 4*x + 20. What is the remainder when 7 is divided by x?
2
Suppose 6 = -z + 23. Suppose -z = -j + 4. Calculate the remainder when j is divided by 13.
8
What is the remainder when 35 is divided by 1 + 9 - (-3 + 1)?
11
Let t be (2 - 4)*(-5)/2. Suppose -3*b + t*k + 34 = 0, 2*b - 7*b + 2*k + 25 = 0. Let g = 6 + -1. What is the remainder when g is divided by b?
2
Suppose 4*n + 30 = -42. Suppose -3 = o - 2. Calculate the remainder when 16 is divided by o/(21/n - -1).
4
Suppose -3 = 3*q, -w - 3 = -q + 4*q. Suppose 0*c + 4*c - 56 = w. Suppose 0 = 2*o - 2*s - c, -7 = 2*o + 3*s - 1. Calculate the remainder when 6 is divided by o.
0
Let m be (-1)/(-2 + 9/6). Suppose -5*p + 5*w + 850 = 330, 8 = -m*w. Suppose 0 = 5*h - 0*h - p. Calculate the remainder when 39 is divided by h.
19
Let s(v) = -2*v - 7. Calculate the remainder when 50 is divided by s(-10).
11
Suppose -k = o - 37 - 39, -5*o - 100 = -k. What is the remainder when k is divided by 30?
20
Let v(n) be the third derivative of n**2 - 5/24*n**4 + 0*n + 0 + 0*n**3. What is the remainder when v(-4) is divided by 11?
9
Let p(s) = 5*s - 3. Let n(r) = -14*r + 8. Let a(q) = -4*n(q) - 11*p(q). Let y be a(-7). What is the remainder when 4 is divided by (-2 - 14/y)*6?
0
Let o = -2 - -13. Let p(u) = -u**3 - 2*u**2 + 3*u + 4. What is the remainder when o is divided by p(-3)?
3
Let n(m) = m**3 - m - 2. Let x be n(0). Let g = x + 17. Let c = 47 - 3. What is the remainder when c is divided by g?
14
What is the remainder when 48 is divided by (-15)/(0/(-5) + 0 + -1)?
3
Suppose 0*t - 3 = -t. Suppose 2*b - t*b + 9 = 0. Suppose -4*l + l = -48. Calculate the remainder when l is divided by b.
7
What is the remainder when 69 is divided by 9/(2/(-16)*-4)?
15
Let q(d) = 2*d - 2. Let z be q(2). Suppose 6*v = z*v - 16, i - 3 = -3*v. Calculate the remainder when 44 is divided by i.
14
Let t = -13 - -93. Calculate the remainder when t is divided by 41.
39
Suppose 0 = 2*d - 6*d + 36. Calculate the remainder when 34 is divided by d.
7
Let m be (-2 - -1)*0 - -2. Suppose 0 = 2*v + m*v - 236. Suppose 8 = -2*t, 5*o - 5*t - v = 2*o. What is the remainder when o is divided by 7?
6
Let g(y) = -y**3 - 2*y**2 + 6*y + 6. Let j be g(-4). Suppose a = -2*f + 19, 7*f - 2*f + a = 52. Calculate the remainder when f is divided by 4/14 + 52/j.
3
Suppose 3*r - 128 = 184. Suppose -i = 3*l - r, 65 = 2*l + 3*i + 2*i. Calculate the remainder when l is divided by 12.
11
Calculate the remainder when (-1 + -2)*44/(-3) is divided by 12.
8
Let f = 27 + -17. Let m(d) = -d**2 + 12*d + 17. What is the remainder when m(11) is divided by f?
8
Suppose -4*l + 31 = 7. Let o = -2 + l. Calculate the remainder when 7 is divided by o.
3
Let h(g) = 2*g + 5. Let m be h(4). Suppose -14 = -0*v - v. What is the remainder when -1*2*-1*m is divided by v?
12
Let v(j) = 20*j**3 - 2*j**2 + j. What is the remainder when 73 is divided by v(1)?
16
Let j(g) = 2*g - 2. Let s be -3*2/(-3) - -1. Suppose -l = s*h - 22, l - 6*l + 140 = 5*h. Calculate the remainder when l is divided by j(5).
7
Let a be (-3)/((-24)/92)*4. Let u = -26 + a. What is the remainder when 57 is divided by u?
17
Let g = -27 - -37. Calculate the remainder when 16 is divided by g.
6
Suppose 3*d = -4*p - 2*d + 48, 3*p = 5*d + 36. Let o be 4/8 - (-4)/(-8). Suppose -s - 6*s + 245 = o. Calculate the remainder when s is divided by p.
11
Suppose 4*r - 13 + 1 = 0. Suppose 0 = 2*d - 4*t - 4 - 