Let h(c) be the first derivative of -c**3 - 2*c**2 - c + 2. Let w be h(3). Calculate the remainder when 56 is divided by -2 - -1 - w/2.
18
Let a be (-2 - 15/(-6))*6. Suppose 0 = -4*w - 20, -5*t - 3*w = -a*t - 21. Suppose 28 = 4*f - 0*f. What is the remainder when t is divided by f?
4
Suppose 24 = -2*t + 4. Let i = t + 14. Calculate the remainder when 14 is divided by i.
2
Let j(q) = -q + 11. Let n = 5 - 12. Let o(t) = -t**3 - 8*t**2 - 7*t + 7. Let k be o(n). Calculate the remainder when 11 is divided by j(k).
3
Let z = -7 + 24. What is the remainder when 67 is divided by z?
16
Suppose -v + 4*f + 27 = 0, 2*v + 4 = -4*f + 34. Calculate the remainder when 70 is divided by v.
13
Let t = -5 + 14. Calculate the remainder when 34 is divided by t.
7
Calculate the remainder when 230 is divided by 1224/24 - 2*2.
42
Suppose 2*w + 50 = 2*q, 2*q + 3*w - 35 = -0*w. What is the remainder when 1*63*1 - -1 is divided by q?
20
Let f = -3 - 1. Let o(j) = -23*j - 6. Calculate the remainder when o(f) is divided by 22.
20
Let w(m) = -2*m - 5. Let k = 5 - 0. Suppose -u - 12 = 3*b, u - 3*u = -k*b + 2. What is the remainder when 12 is divided by w(u)?
5
Suppose 2*t = -t + 81. Suppose -4*z + t = -1. Calculate the remainder when 20 is divided by z.
6
Suppose -6*d = -3*d. Suppose -3*i - 2*i + 55 = d. Let n = -7 + 11. What is the remainder when i is divided by n?
3
Suppose 0*g = 6*g - 84. Calculate the remainder when 69 is divided by g.
13
Calculate the remainder when (-2)/14 - 1266/(-42) is divided by 11.
8
Let m = 7 + -7. Suppose -5*u + 4*u + 9 = m. Let y(l) = -l + 5. What is the remainder when u is divided by y(0)?
4
Let k(x) = 3*x - 2. What is the remainder when 72 is divided by k(7)?
15
Let b(s) = -s**3 + 16*s**2 + 17*s + 22. Suppose i = 3*l + 23, 0 = -4*i - 0*i + l + 70. Let j = -12 - -20. What is the remainder when b(i) is divided by j?
6
Suppose 5*t - 6*t + 37 = 0. What is the remainder when t is divided by 10?
7
Let i = -11 + 22. Calculate the remainder when (-2)/(-3) + 183/9 is divided by i.
10
Suppose 47 = 9*r - 43. Calculate the remainder when 17 is divided by r.
7
Let h(d) = -4*d + 2. What is the remainder when h(-5) is divided by 8?
6
Suppose 4*c = 3*v - 92, -2*c - 5*v = -0*v + 20. Let j(y) = 2*y**2 - 3*y + 3. Calculate the remainder when j(-3) is divided by ((-128)/c)/((-2)/(-5)).
14
What is the remainder when 18 is divided by 3 - 6/(-2) - -2?
2
Let a = 89 + -43. What is the remainder when a is divided by 8?
6
Suppose -3*l = -4*h + 50, 3*h + 6*l = 2*l + 50. Let a(b) = -b**3 - 7*b**2 + 23*b - 15. Calculate the remainder when a(-10) is divided by h.
13
Let k = -5 + 2. Calculate the remainder when (-289)/k - (-6)/9 is divided by 25.
22
Suppose 5*z - z - 4 = 2*a, 3*z - 17 = -2*a. Suppose a*k + 30 = 206. What is the remainder when k is divided by 15?
14
Suppose 2*r + 9 = j + 3*r, j - 4*r = 9. Let c be 3/(-2)*8/(-6). Suppose -4*l + 4*k + 52 = 0, -7 = -l + k + c*k. What is the remainder when l is divided by j?
7
Calculate the remainder when 53 is divided by ((-18)/(-12))/((-3)/(-22)).
9
Let y = -8 + 42. Let l be (-1)/(36/y - 1). Let q = l + 54. What is the remainder when q is divided by 19?
18
Let r = 21 + -9. Let h be (-10)/2*12/(-30). Suppose -h*f - 24 = -68. What is the remainder when f is divided by r?
10
Suppose -3*c + 8*c = 25. Let x = -137 + 151. Calculate the remainder when x is divided by c.
4
Let f = 40 - 22. Suppose 2*i = -4 + f. Suppose -6*g + i*g = 3. Calculate the remainder when 8 is divided by g.
2
Suppose 0 = -2*l + 4 - 0. Let h(m) = -11*m - l - 2 - 3*m**2 + 2*m**2 + 0. What is the remainder when h(-5) is divided by 9?
8
Let g = 67 - 62. What is the remainder when (-21)/6*2/(-1) is divided by g?
2
Let a(c) = 3*c**3 - 4*c + 3. Let y = 91 + -37. Calculate the remainder when y is divided by a(2).
16
What is the remainder when 54 is divided by (-56)/(-16)*4/2?
5
Let f(b) = -3*b**3 - 2*b**2 - 2*b + 4. Calculate the remainder when f(-3) is divided by 15.
13
Let c(h) = 3*h - 5. Let z = -10 + 23. Calculate the remainder when z is divided by c(4).
6
Suppose -5*z = -6*z. Suppose 3*c + 2 + 1 = z. What is the remainder when 51 is divided by c*-26*1/2?
12
Let n(q) = -6*q + 13. What is the remainder when n(-6) is divided by 13?
10
Suppose 0 = -18*b + 14*b + 12. Calculate the remainder when b is divided by 1.
0
Let a(f) = f**3 + 6*f**2 - 5*f - 4. Suppose 3*n - 4 = -22. What is the remainder when 49 is divided by a(n)?
23
What is the remainder when 1136/10 - 48/(-120) is divided by 29?
27
Suppose -4*s = -69 - 3. What is the remainder when 52 is divided by s?
16
Let m(z) = 2*z**2 - 1. Let k be m(-1). Let s be (1/2)/(k/(-24)). Let r = s + 35. What is the remainder when r is divided by 8?
7
Let t(s) = -s. Let m be 152/20 + (-4)/(-10). Let g be 9/(-4) + 2/m. What is the remainder when 2 is divided by t(g)?
0
Suppose 4*f + 3 - 27 = 0. Suppose f - 34 = -j. What is the remainder when 54 is divided by j?
26
Suppose 3*c + 87 = 3*z, -51 - 3 = -2*z + 3*c. Suppose -2*n = -n - 4*k - 94, -5*n - 4*k = -494. What is the remainder when n is divided by z?
32
Let m be -1 + (2 - 1) - -4. Suppose m*o = -o + 45. Calculate the remainder when 20/1 + (-28)/7 is divided by o.
7
Let n = -12 + 45. Calculate the remainder when 64 is divided by n.
31
Let k = -17 + 23. Let o(d) = 3*d - 5. Calculate the remainder when o(7) is divided by k.
4
Suppose 4*j + 4*t = 2*j + 52, -16 = 4*t. Suppose 3*i - j = 20. Suppose -4*b + 10 = -i. What is the remainder when b is divided by 3?
1
Suppose -4*z = -5*t + 77 - 3, 0 = 2*t - 5*z - 16. Let m(h) = 2*h**3 + 3*h**2 - 1. Let y be m(-2). Let i = t + y. What is the remainder when i is divided by 5?
3
Let w(a) = -a**2 - a + 18. Calculate the remainder when 14 is divided by w(3).
2
Suppose 14*t - 11*t - 2*o - 68 = 0, -91 = -4*t + 3*o. What is the remainder when 72 is divided by t?
6
Let i = 1 + 32. Let s(p) = -8*p - 1. Let h be s(-7). Suppose n - 5*d + 14 = 3*n, -3*n + d = -h. Calculate the remainder when i is divided by n.
16
Let q = -5 - -9. Suppose q*r = -0*r + 180. What is the remainder when r is divided by 12?
9
Let y(b) = b**3 - 13*b**2 + 15*b + 2. Calculate the remainder when y(12) is divided by 2/1 + 0 - -8.
8
Let b = -135 + 204. What is the remainder when b is divided by 15?
9
What is the remainder when 43 is divided by (36/8)/(1/2)?
7
Suppose 0 = -d + 22 + 23. What is the remainder when d is divided by 12?
9
Let c(d) = 2*d - 6. Let h be c(6). Suppose -w = -2*w + h. What is the remainder when w is divided by 3?
0
Let u(q) = -q + 16. Calculate the remainder when 67 is divided by u(-7).
21
Let y be 2*2 + -3 + 3. Suppose -y*a = -3*s - a, a = 2*s - 2. Suppose 5*l + s*f = 81, -78 = -4*l + 2*f + 3*f. Calculate the remainder when l is divided by 9.
8
Let v(m) = m**3 - 10*m**2 - 9*m - 7. Calculate the remainder when 43 is divided by v(11).
13
Let w = -18 - -35. What is the remainder when 151 is divided by w?
15
Let i(k) = 2*k - 11. Let q be i(10). Suppose o - 5*z - q = 5, 3*o - z = 28. Calculate the remainder when 25 is divided by o.
7
Suppose 92 = -5*j + 17. Let v = j - -18. Calculate the remainder when 5 - 0/(1 + 1) is divided by v.
2
Suppose 26 = 6*m - 52. What is the remainder when 47 is divided by m?
8
Suppose 12 = 2*l + 3*l + 4*p, 0 = -3*l + p + 14. Calculate the remainder when 20 is divided by l.
0
Let t(a) be the second derivative of 3*a**3/2 - a**2 + a. Let n(l) = 12*l**2 - 2*l - 1. Calculate the remainder when t(3) is divided by n(-1).
12
Let w be 3 + -1 - (3 - 6). Let c = w - -7. Calculate the remainder when 23 is divided by c.
11
Let t(v) = -3*v - 2. Suppose -3 = 5*g - 8*g. Let h be (-7 - (-2 + 1)) + g. What is the remainder when 24 is divided by t(h)?
11
Let t(p) = p**2 - 2*p - 9. Suppose 2*g - 3*g = 2*x, 55 = 5*g - x. What is the remainder when t(-6) is divided by g?
9
Let f be (-1)/(-2) + 304/32. Suppose 0 = -j - 1 + f. Let t(m) = m**2 - 6*m + 4. What is the remainder when j is divided by t(6)?
1
Let m be -2 - (-3 + 3) - -4. Let y be (-1*m)/((-6)/(-9)). Let l = y - -8. What is the remainder when 9 is divided by l?
4
Suppose 5*z = 2*w + 104, -3*z + 54 = -0*z + 3*w. Let i be 5 + 2 - (-3 + 4). Calculate the remainder when z is divided by (3 - 1)/(i/21).
6
Let p(v) = v**2 - v - 3. Let m be p(3). Suppose 0 = -m*l + 6 + 3. Calculate the remainder when