er when (-12)/(-6)*126/4 is divided by 13.
11
Let u(y) = -y**3 + 5*y**2 + 7*y + 6. Suppose 2*l - 26 = 18. Calculate the remainder when l is divided by u(6).
10
Suppose 8*s = 7*s + 49. What is the remainder when s is divided by 10?
9
Let y(g) = 2*g**2 + 7*g + 3. Calculate the remainder when 163 is divided by y(-6).
31
Let h(s) be the third derivative of 41*s**5/60 + s**3/6 + 4*s**2. Suppose 0 = -2*b - 0*b + 2. What is the remainder when h(b) is divided by 15?
12
Let c(o) = -3*o - 17. Let p = 10 - 7. Calculate the remainder when c(-7) is divided by p.
1
Suppose -36 = -0*i - 2*i. Suppose 18*w - 80 = 10*w. What is the remainder when i is divided by w?
8
Calculate the remainder when -12*1/(-3)*10 is divided by (4 - 3) + 60/3.
19
Suppose -o - 22 = -3*o. What is the remainder when o is divided by 3?
2
Suppose 0 = 7*l - 3*l - 60. What is the remainder when 592/20 + (-9)/15 is divided by l?
14
Let o(w) = w**2 + 3*w - 2. Let g be o(-4). Let a(n) = -n**3 - n**2 + n + 17. Calculate the remainder when a(0) is divided by 1/g + 11/2.
5
Suppose -3*j = -45 - 48. What is the remainder when j is divided by 8?
7
Suppose -70 = -5*b - 15. Let o(v) = 5*v**2 + 6*v - 11. Calculate the remainder when o(2) is divided by b.
10
Suppose -2*k + 44 = -40. Calculate the remainder when k is divided by (15*(-3)/6)/((-3)/6).
12
Let l(x) = x**3 - x**2 + x - 7. Let s be l(0). Let n = 14 + s. Suppose 4*p - 81 = -5. Calculate the remainder when p is divided by n.
5
Suppose 2*m - 86 = -5*x + 19, -4*m = -2*x + 42. Suppose 2*y = 3*g + 43, g - 30 = -4*y + x. Calculate the remainder when y is divided by (12/(-8))/((-3)/10).
4
Let h(v) = 4*v - 16. Calculate the remainder when 47 is divided by h(8).
15
Let i(v) = -v**3 - v**2 - 2*v - 1. Let n be i(-1). Suppose 3*q - 30 + 16 = 4*r, -3*r - 4 = q. What is the remainder when (1 - 0)*5 - n is divided by q?
0
Suppose -6*h - 62 = -8*h. Let x = 10 + h. Calculate the remainder when x is divided by 11.
8
Calculate the remainder when 41 is divided by 7*(-7)/(21/(-6)).
13
Suppose -5*h = -h + 20. Let k(g) = -2*g**2 - 8*g - 6. Let v be k(h). Let u = v + 44. Calculate the remainder when u is divided by 10.
8
Let c = -5 + -2. Let r(h) = -h**3 - 7*h**2 - 3*h + 4. Calculate the remainder when r(c) is divided by 14.
11
Suppose 3 + 1 = 2*q. Suppose 4*s - 257 = 3*u, -2*s - 4*u + 118 = -q*u. What is the remainder when s is divided by (-3 + 0)*42/(-6)?
20
Let r(g) = -2*g + 19. Let m be r(0). Suppose j = 4*v + 27, 0*v + m = j - 2*v. What is the remainder when j is divided by 6?
5
Suppose 14 = -z + 34. Calculate the remainder when 137 is divided by z.
17
Let o(l) = l**3 - 10*l**2 - 5*l - 25. Calculate the remainder when o(11) is divided by 3.
2
Suppose f - 8 = -4*f - 2*r, r = -1. Suppose 0 = -2*a + 2 - 0. Calculate the remainder when a is divided by ((-2)/f - -2)*1.
0
Let l(k) = k + 1. Let m be l(3). Suppose 3*r - 15 = -2*r. Suppose -z + 35 = w + m*w, 0 = -3*z + r*w + 51. Calculate the remainder when z is divided by 11.
9
Suppose -2*u = m + 5, 4*u + 11 = -m - 0*u. Let d(k) = k**3 - 8*k**2 + 6*k + 10. Let g be d(7). Calculate the remainder when m + -2 - -30 - g is divided by 9.
8
Suppose 66 = -54*m + 56*m. Calculate the remainder when m is divided by 19.
14
Suppose 0 = -52*l + 61*l - 108. Calculate the remainder when -1*1 + 0 - -47 is divided by l.
10
Let b(n) be the third derivative of n**5/60 - n**4/6 + n**3/3 + 5*n**2. Calculate the remainder when 3 is divided by b(4).
1
Suppose 4*r - 5*d - 60 = 0, 4*r - 41 = -d - 5. Let k(u) = -3*u**3 - 22*u**2 + 15*u + 10. Calculate the remainder when k(-8) is divided by r.
8
Suppose 175 = -7*q + 12*q. What is the remainder when 102 is divided by q?
32
Let q(r) = 11*r**2 + 3*r + 2. Let p = -5 + 8. Suppose 0 = -p*u + 42. Calculate the remainder when q(-2) is divided by u.
12
Let q be (-18)/15*(-10)/3. Suppose 2*x - q*x = -48. Calculate the remainder when 47 is divided by x.
23
Let u(b) = -12*b - 2. Suppose z + 8 = 2*z. Let j = 4 + z. What is the remainder when u(-3) is divided by j?
10
Let d = 3 - 4. Let u be (d + 0)/(1/(-15)). What is the remainder when 3 is divided by 3/(-1)*(-10)/u?
1
Let x(r) = r**3 + 6*r**2 + 4*r + 2. Let w be ((-2)/(-6))/(1/(-6)). Calculate the remainder when 1 - 8/w*3 is divided by x(-5).
6
Suppose 5*o + 50 = 5*k, 3*o + 5*k + 1 = 3. Let t(f) = -6*f + 8. Let m be t(o). Suppose m = 4*a - 0*a. What is the remainder when 32 is divided by a?
10
Let n be (0/1)/(-2 + 1). Suppose 36 = 2*r - z - 7, -2*r + 5*z + 63 = n. What is the remainder when r is divided by 10?
9
Let t = -124 + 180. What is the remainder when t is divided by (290/35)/(2/7)?
27
Suppose -t + u - 1 = 0, t - 3*u = u - 16. Suppose t*k - 16 - 36 = 0. What is the remainder when 24 is divided by k?
11
Suppose -m + 11 = -8. Suppose s + j - 3 = 0, -5*s + 2*s + 5 = 4*j. Calculate the remainder when m is divided by s.
5
Let x = 22 - 13. Let b(v) = 7*v**2 + 4*v - 5. Let f(u) = -4*u**2 - 2*u + 3. Let l(m) = 3*b(m) + 5*f(m). What is the remainder when l(3) is divided by x?
6
Let x(f) = -3*f - 12. Let t be x(-6). Suppose -t = -w + 8. Calculate the remainder when 95 is divided by w.
11
Suppose -50 = -2*z + 38. Calculate the remainder when z is divided by 24.
20
Suppose -20 = -11*p + 9*p. Calculate the remainder when 27 is divided by p.
7
Let y(n) = n**2 - 3*n + 7. Calculate the remainder when y(7) is divided by 19.
16
Let s = 37 + -26. Calculate the remainder when 19 is divided by s.
8
Let u(r) = 2*r**2 + r + 11. Calculate the remainder when u(-5) is divided by 12.
8
Let f(k) = -2*k - 6. Let p = -11 - -20. Suppose -q + 2*l + p = l, 3*l + 40 = 4*q. What is the remainder when q is divided by f(-7)?
5
Let m = -100 - -147. Suppose -4*x + 60 = 4*w, -5*w - 24 = -3*x - 3. Calculate the remainder when m is divided by x.
11
Suppose 2*w - 4 = -46. Let i = w + 51. Calculate the remainder when i is divided by 16.
14
Let f(q) = q**3 + 6*q**2 - 6*q + 10. What is the remainder when (12/(-10))/(6/(-40)) is divided by f(-7)?
2
Let u(l) be the second derivative of l**3/6 + 5*l**2/2 + 3*l. Let n be u(-8). Calculate the remainder when n + ((-276)/(-2))/3 is divided by 11.
10
Suppose 4*x - 10 = 3*x. Let b(q) = 2*q + 104. What is the remainder when b(-33) is divided by x?
8
Let j be -2*3/(-6) - -2. Suppose 4*v - 83 + j = 0. Calculate the remainder when 5 is divided by (-2)/(-5) + 32/v.
1
Suppose 15 + 320 = 5*w. Calculate the remainder when w is divided by 23.
21
Suppose 2*m + 32 = 5*m + 5*x, 5*m = 2*x + 74. Calculate the remainder when 41 is divided by m.
13
Suppose 45 = 2*r + r. Suppose -3*u + 4*w + r = 2*u, 2*u + 3*w - 6 = 0. Let d(x) = x**2. Calculate the remainder when u is divided by d(1).
0
What is the remainder when 45 is divided by 10 - (-4 + 2 - 0)?
9
Suppose 0 = 3*u - 3*l - 411, -2*l = -7*u + 2*u + 688. Calculate the remainder when u is divided by 20.
18
Let q = 3 - 2. Let n(t) = -t**2 - 9*t + 11. Calculate the remainder when q is divided by n(-10).
0
Suppose 3*y + 45 = 2*s, -s + 22 = -5*y + 3. Suppose 0 = -2*o - 4*x + s, -2*o + 21 = -0*o + x. Calculate the remainder when 18 is divided by o.
8
Suppose -j + 76 = 4*d, -3*j - 2*d + 171 + 87 = 0. What is the remainder when j is divided by 18?
16
Let s(b) = -4*b**2 + 2*b - 2. Let m be s(-4). Let v be ((-52)/(-6))/((-5)/30). Let w = v - m. Calculate the remainder when w is divided by 12.
10
Suppose 128 = 3*g + 8. Calculate the remainder when g is divided by (-1 - (-18)/4)*6.
19
Let j(h) = 178*h**3 - h + 1. Calculate the remainder when j(1) is divided by 36.
34
Suppose 0 = b - 86 + 22. Suppose -l - l = -b. What is the remainder when l is divided by 17?
15
Let t(n) = n**2 + 1. Let v be t(1). Let w = 3 + 2. Calculate the remainder when (9/(-18))/(v/(-28)) is divided by w.
2
Let y(u) = u**3 + 5*u**2 - 2*u - 1. What is the remainder when 90 is divided by y(-4)?
21
What is the remainder when 65 is divided by 1/(-5) + 1 + (-162)/(-10)?
14
Let v be ((-39)/(-2))/((-2)/(-4)). Let i = v - 10. Calculate the remainder when i is divided by 15.
14
Let j be 4/10 - 36/(-10). Suppose -247 + 71 = -j*z. Suppose m - 20 + 5 = 0. What is the remainder when z is divided by m?
14
Let v be (-2)/(-5) + (-8)/20. Suppose -4*b + v = -4. Calculate the remainder when 2 is divided by b.
0
Suppose 5*u = -0 + 10. Suppose -8 - 20 = -u*v. Let g(c) = -c + 40.