-8)). Suppose 0 = 2*i - 1 - o. Suppose 6*a - 5*a - 1 = 0. What is the remainder when a is divided by i?
0
Let d(f) = f + 4. Let a be d(4). Suppose -2 = 2*u - a. What is the remainder when u is divided by 1?
0
Let v = -45 + 69. Let s(d) = -3*d + 142. What is the remainder when v is divided by s(44)?
4
Let y(n) = -n**2 - n + 43. Suppose -3*z = -z. Calculate the remainder when y(z) is divided by 4/1*(-22)/(-4).
21
Let r(a) = -a**2 + 5*a - 3. Let k be r(-4). Let z = k + 73. Suppose 2*h - z = 26. Calculate the remainder when h is divided by 16.
14
Let z = 20 + -16. Suppose s = y + 7, -z*s + 0*s + 37 = -y. What is the remainder when 37 is divided by s?
7
Let v(s) = -6*s + 29. Let a(p) = -5*p + 28. Let o(x) = 7*a(x) - 6*v(x). Calculate the remainder when 24 is divided by o(-9).
11
What is the remainder when 49 is divided by (-3)/(1 - -2)*-13?
10
Calculate the remainder when ((-8)/10)/(12/(-390)) is divided by (7*-1)/(2/(-4)).
12
Let u(m) = -m**2 + 12*m - 20. Calculate the remainder when u(6) is divided by 8.
0
Let y = -217 + 257. Suppose -4*h - 5*z + 1 = 0, 0 = -z - 1 + 2. Calculate the remainder when y is divided by 16 - (4 + -1 + h).
12
Let s = 10 - -4. Suppose 4*g - 5*m - 403 - 580 = 0, -3*g + 2*m = -732. What is the remainder when 49 is divided by g/s - 4/14?
15
Let p = -12 - -22. Suppose -3*b + 83 = -p. Calculate the remainder when b is divided by 16.
15
Let p(i) = -3*i - 10. Let k(b) = -4*b - 9. Let t(q) = 2*k(q) - 3*p(q). What is the remainder when t(-11) is divided by (-6)/(-4) - 3/6?
0
Let u(t) = -7*t. What is the remainder when 27 is divided by u(-1)?
6
Let c(x) = -4*x - 11. Calculate the remainder when c(-6) is divided by 7.
6
Suppose -h - 8 = 3*h. Let u = 10 + h. Suppose -5*k + 3*k = -46. What is the remainder when k is divided by u?
7
Suppose 5*b - 130 = -15. Suppose 3*s = -s + 648. Calculate the remainder when b is divided by s/21 - (-4)/14.
7
Let g = -4 + 2. Calculate the remainder when 17 is divided by 9/12*-6*g.
8
Let z(n) = 2*n**3 - n - 1. What is the remainder when z(3) is divided by (2/(-4)*-2)/(43/559)?
11
Let k be (-4)/(-10)*(-15)/(-3). Suppose k*l - 22 = 32. What is the remainder when l is divided by 5/15 - 41/(-3)?
13
Suppose -14 = -3*n + h - 1, 5*h = -20. Let p = 6 - n. Let x = -7 + 8. Calculate the remainder when p is divided by x.
0
Let s be (-2)/4 + 3/(-6). Let w(b) = 32*b**2 - 2*b - 1. What is the remainder when w(s) is divided by 0/2 + (11 - 2)?
6
Suppose 0 = -3*q + y + 26, -3*q = -q + 2*y - 4. Suppose q = z - 5. What is the remainder when (6/4)/((-9)/(-132)) is divided by z?
10
Let w(v) = 3*v + 107. Calculate the remainder when w(-13) is divided by 36.
32
Let z(v) = -2*v - 2*v + 13 + 3*v. Let j be z(9). Suppose 0*x + j*x + 5*u - 129 = 0, 153 = 4*x - 3*u. Calculate the remainder when x is divided by 19.
17
Let z = 4 + -2. Let c = z - -1. Calculate the remainder when c is divided by 2.
1
Let t(i) = i**3 + 8*i**2 + 13*i. What is the remainder when 6 is divided by t(-3)?
0
Let r be (-1*3 - -2) + 56. Let k = 78 - r. What is the remainder when k is divided by (6/5)/((-24)/(-160))?
7
Let t(s) = -s + 11. Let a be t(13). Let u(v) = -28*v - 3. Calculate the remainder when u(a) is divided by 27.
26
Suppose -k = -2*s - 37, -4*s + 88 = -5*k + 261. What is the remainder when 64 is divided by k?
31
Let g(r) = r**3 - 5*r**2 - 8*r + 4. Let b be g(6). Let h = b - -2. What is the remainder when ((-8)/h)/(2/21) is divided by 8?
6
Let o(q) be the second derivative of -4*q**3/3 - 2*q**2 + 3*q. Let z = -11 - -6. What is the remainder when o(z) is divided by 19?
17
Let s be 2/(-9) + (-1541)/(-9). Suppose 257 = 5*o - a, 7*a = -3*o + 2*a + s. What is the remainder when o is divided by (-1)/3 + (-110)/(-6)?
16
Let g = -32 - -45. Let n = -5 + g. What is the remainder when 22 is divided by n?
6
Let s be 4/(-8)*(-1 + 1). Let z(i) = -3*i + s*i - i. What is the remainder when 23 is divided by z(-2)?
7
Let a(c) be the third derivative of 2*c**2 + 0 + c**3 - 5/24*c**4 + 1/120*c**6 + 0*c - 1/15*c**5. What is the remainder when a(5) is divided by 4?
2
Suppose n + 2*n - 39 = 0. What is the remainder when n is divided by 3?
1
Let w = 29 - 18. Let q(s) = 2*s - 1. Let g be q(4). Suppose 5*j - 26 = h, -g*j - 5*h = -3*j - 44. Calculate the remainder when w is divided by j.
5
Let s(n) = -6*n**2 - n + 5. Let m(x) = 6*x**2 + x - 4. Let k(r) = 4*m(r) + 3*s(r). Calculate the remainder when k(-4) is divided by 23.
22
Let w be 8*(-1 - (-14)/8). Suppose -w*i + i + 45 = 0. Let y = 11 - -5. Calculate the remainder when y is divided by i.
7
Let i = -8 + 9. What is the remainder when 32/(0 + 1 + i) is divided by 6?
4
What is the remainder when (32/10)/((-1253)/210 + 6) is divided by 14?
12
Let x(y) = y + 1. Let i(v) = v**3 + 3*v - 13. Let w(c) = i(c) - 2*x(c). Let o be w(0). Let j = o + 36. Calculate the remainder when j is divided by 11.
10
Let g(i) = 2*i**2 - 12*i + 8. What is the remainder when 21 is divided by g(6)?
5
Suppose 3*l - 7*l - 28 = 0. Let i = 24 + l. Calculate the remainder when i is divided by 6.
5
Calculate the remainder when 35 is divided by ((-6)/(-8))/(5/80).
11
What is the remainder when (-219)/(-3) + (-8)/2 is divided by 12?
9
Calculate the remainder when 270/4*(6/(-18) - -1) is divided by 16.
13
Suppose -z - 35 = -4*o, 0 = 3*z - 3 - 0. Let s = -5 + o. What is the remainder when 10 is divided by s?
2
Calculate the remainder when 21 is divided by 2*(4 - (-15)/10).
10
Let w(j) = -11*j - 4 + 3*j - j**2 - 2. What is the remainder when 17 is divided by w(-5)?
8
Suppose -6*a = -2*a - 144. Suppose -5*g + 2*g + a = 0. Calculate the remainder when 47 is divided by g.
11
Let x = 113 + -63. Suppose -8*b = -3*b - x. What is the remainder when 19 is divided by b?
9
Let r(i) = -i**2 + 5*i - 3. Let g be r(3). Suppose -8 = -m + g. Calculate the remainder when 20 is divided by m.
9
Let z = 0 + -3. Calculate the remainder when (42/(-5))/(18/(-60)) is divided by (-13 + (z - -1))/(-1).
13
Let b(g) = -4*g**3 + g**2 - g - 1. Let h be b(-1). Suppose h*f = s + 50, -f + s = 2*s - 16. Calculate the remainder when 2/6 - 59/(-3) is divided by f.
9
Suppose 2*j = 98 - 32. What is the remainder when j is divided by 17?
16
Suppose 0 = 3*l + 2*l - 10. Suppose 4*a = 4, -5*s - l*a = a - 13. Suppose 5*b - 18 = -s*x + 102, 34 = 2*b - 2*x. What is the remainder when b is divided by 6?
4
Suppose 0 = -3*z + 2 + 4. Let u(p) = 8*p**2 + p. What is the remainder when u(z) is divided by 12?
10
Let o(y) be the first derivative of -y**2/2 + 15*y - 1. Calculate the remainder when o(13) is divided by 1.
0
Suppose 0 = -l - 4*l + 145. Let a(u) = 9*u**3 + 2*u**2 - 1. Let q = -2 + 3. Calculate the remainder when l is divided by a(q).
9
Suppose -a - 4*a + s = 99, 2*a + 5*s + 18 = 0. Let z = a + 33. What is the remainder when 53 is divided by z?
11
Suppose -6*v + 22 = -494. What is the remainder when v is divided by 30?
26
Let v(y) = -4*y - 6. Let t be -1 - ((-4 - -3) + 5). Calculate the remainder when v(t) is divided by 4.
2
Let q = 39 - 6. What is the remainder when q is divided by 9?
6
Let g = 11 + -9. Let d = g - -4. What is the remainder when 17 is divided by d?
5
Suppose -3*k = -112 - 14. What is the remainder when k is divided by 12?
6
Let g be ((-2)/(-4))/(3/180). Suppose -4*k + 6 = -g. Calculate the remainder when k is divided by 5.
4
Suppose -2*c = -0 - 14. Suppose -3*y - r - 40 + 151 = 0, 185 = 5*y + 5*r. Calculate the remainder when y is divided by 186/14 + (-2)/c.
11
Suppose -w - 44 = -3*w - b, 10 = 5*b. Let l = -145 - -227. Calculate the remainder when l is divided by w.
19
Let y = 20 + -5. Calculate the remainder when 28 is divided by y.
13
Let s = -149 + 329. Suppose -218 = -5*r - n, 2*r + 2*n + s = 6*r. Calculate the remainder when r is divided by 9.
8
Let h(n) be the third derivative of -n**6/60 - n**5/60 + 5*n**4/24 - n**3/6 - 3*n**2. What is the remainder when h(-4) is divided by 23?
22
Suppose 0 = s + 8 + 48. What is the remainder when 25 is divided by (-768)/s + (-2)/(-7)?
11
Suppose 0 = o + 4*p - 9*p - 28, -o + 4*p + 26 = 0. Suppose 5*u - 35 = -0*u. Calculate the remainder when o is divided by u.
4
Suppose -18 = -3*s + 2*a + 12, 0 = 2*s + a - 20. Suppose -18 = -3*q + 66. What is the remainder when q is divided by s?
8
Let c(z) = z + z**3 + 9 - 4*z - 18 + 2*z**2 + 12. Calculate 