vided by p?
18
Let f(l) be the third derivative of l**6/120 + l**5/15 - l**4/4 - 2*l**3/3 + l**2. Let w = -26 + 22. Calculate the remainder when f(w) is divided by 7.
6
Let l(n) = 75*n. Let v be l(2). Let z = v + -75. What is the remainder when z is divided by 19?
18
Let k = 24 + 53. What is the remainder when k is divided by 20?
17
Let t(b) = b**3 - 9*b**2 - 10*b + 8. Calculate the remainder when t(10) is divided by 5.
3
Let t(j) = 4*j + 6. Calculate the remainder when 25 is divided by t(2).
11
Suppose 2*a - 4*o + 2 = 244, -2*a + 5*o + 240 = 0. Calculate the remainder when a is divided by 32.
29
Let r(b) = -b**2 - 5. Let g(k) = -4*k**2 + k - 21. Let p(f) = 2*g(f) - 9*r(f). Let t(z) = z + 14. Calculate the remainder when p(-6) is divided by t(0).
13
Let p(n) = -4*n - n**3 + 6 + 4*n**2 + 3*n - n. Let o be p(5). Let d = 69 + o. Calculate the remainder when d is divided by 14.
12
Let w be (8/6)/(4/(-6)). What is the remainder when 23/(3 + w) - 1 is divided by 12?
10
Suppose 3*o = o - 5*w - 4, -w + 4 = 2*o. Let h = 10 - o. Calculate the remainder when (10/3)/((-4)/(-24)) is divided by h.
6
Suppose -5*d = -15 - 125. Let q = -9 + 19. Calculate the remainder when d is divided by q.
8
Let p be 1*-2*1 + 116. Let x = p - 53. What is the remainder when 13 is divided by (-2)/(-9) + x/9?
6
Suppose -4 = -2*i - 0. Suppose 10 = -5*d, -6*d + d = i*o + 2. Calculate the remainder when 5 is divided by o.
1
Let h be 4/(-6) - (-4)/6. Suppose z = 3 - h. Let g = -4 - -6. What is the remainder when z is divided by g?
1
Let l(n) = -n + 8. Let f be l(6). Suppose -b = b - f. Calculate the remainder when 2 is divided by b.
0
Suppose 5*f + 0*y + y = 233, 3*f = -4*y + 150. What is the remainder when f is divided by 16?
14
Let k(q) = q**2 + 2*q + 4. Let n be k(4). Suppose -4*m + 4 = -n. What is the remainder when 20 is divided by m?
4
Suppose 5 - 11 = -z. Suppose -4*g + 3*g + z = 0. What is the remainder when 23 is divided by g?
5
Let k be 7/(14/12) - -1. Suppose -3*v - 44 = -k*v - t, -33 = -3*v - t. What is the remainder when (-3)/(-1)*10/1 is divided by v?
8
Let c = -9 - -12. What is the remainder when 8 is divided by c?
2
Let g(n) = -5*n - 49. Calculate the remainder when g(-15) is divided by 10.
6
Suppose -35 = 2*z - 3*z. Suppose -5*y + 5*w = -55, 2*y - 37 = -y + 5*w. Calculate the remainder when z is divided by y.
8
Let b(v) = -v + 11. Let a be b(6). Suppose 4*n - a*n = -7. Calculate the remainder when 3*5 - (4 - 2) is divided by n.
6
Let c(b) = -21*b**2 - 7*b - 2. Let h(y) = 11*y**2 + 4*y + 1. Let l = -33 - -22. Let s(a) = l*h(a) - 6*c(a). What is the remainder when s(1) is divided by 3?
1
Calculate the remainder when 67 + -3*(-8)/12 is divided by 27.
15
Suppose -12*n = -13*n - 6. Let p(k) = k**3 + 6*k**2 + 6. What is the remainder when 16 is divided by p(n)?
4
Suppose 18 = 4*f - 58. Let z = 14 + -1. Suppose 3*p - z - 8 = 0. Calculate the remainder when f is divided by p.
5
What is the remainder when 6 is divided by (-18)/(12/(-4)) - 4?
0
Suppose 3*i - 376 = -4*k + 79, -2*i + 560 = 5*k. Calculate the remainder when k is divided by 23.
18
Let h(d) = -d**2 - 6*d - 1. Let z be h(-3). What is the remainder when (32/z)/((-2)/(-19)) is divided by 13?
12
Let k be (3 + -1)*(-94)/(-4). Suppose 78 = 5*q - k. Suppose 0 = 2*d - 4, -3*d = 3*y - 8*d - 17. Calculate the remainder when q is divided by y.
7
Suppose -5*s = -10*s + 100. Calculate the remainder when s is divided by 7.
6
Let i(o) = o**2 - 6*o + 9. Let w be (-30)/(-25)*20/6. Suppose 3*k - 10 = -w*s, 2*k + 24 = 5*k - 3*s. Calculate the remainder when 16 is divided by i(k).
7
Let y(h) = 16*h**2 - 3*h. Let u be y(2). Suppose 5*m - u + 692 = -4*g, 0 = 2*g - m + 310. What is the remainder when 30 is divided by (-2)/(-5) - g/10?
14
What is the remainder when 8 is divided by (5*6)/5 + 0?
2
Suppose -2*m + 7*m - 5 = 0. Suppose 3*u = 4*l - 91, -5*u - 26 + m = 0. What is the remainder when 72 is divided by l?
15
What is the remainder when 64 is divided by 180/13 + 5 + 315/(-65)?
8
Suppose -2 = -c + 4. Let f(t) be the first derivative of -t**3/3 + 4*t**2 - 4*t + 8. Calculate the remainder when 15 is divided by f(c).
7
Suppose 0 = 2*b + h, 4*h = -4*b - 0*b + 8. Calculate the remainder when 24 is divided by b/6 - (-40)/3.
11
Let z(v) = v - 5. Suppose 0 = 5*c - r - 39, 0 = c - 2*c + 3*r + 19. Suppose -2*y = -5*g - c, -3 = y - 5*g - 4. What is the remainder when z(y) is divided by 1?
0
Suppose 26 = -2*c + l, -4*c + 2*c - 20 = 2*l. Let q = c - -21. Calculate the remainder when 25 is divided by q.
7
Let b(a) = -a - 15. Let o be b(-15). Suppose o = 4*l - 6*r + r - 62, -2*l = 5*r - 46. Calculate the remainder when l is divided by 11.
7
Suppose -3*i = -2*i + 4*v, -10 = -i + v. Suppose -9*w + i*w + 15 = 0. Calculate the remainder when 59 is divided by w.
14
Let i(s) = 7*s**2 - 2*s - 3. Calculate the remainder when i(-2) is divided by 15.
14
Let d(m) = m**3 + 6*m**2 + m. What is the remainder when d(-5) is divided by 11?
9
Suppose -13*k + 128 = -5*k. Calculate the remainder when 29 is divided by k.
13
Suppose -1 = -2*h + 5. Suppose -l + h*w + 15 = 0, 0 = -3*l - 5*w - 0 + 3. What is the remainder when 6 is divided by l - (-5)/((-15)/6)?
2
Suppose 0 = -2*b - 4 + 10. Suppose -9 - 30 = -b*o. Calculate the remainder when 25 is divided by o.
12
Suppose -75 = -4*h + 9. What is the remainder when 40 is divided by h?
19
Let m(p) = p**3 - 9*p**2 + 12*p - 10. Let s be m(8). Suppose -5*k + 82 = s. Calculate the remainder when k is divided by 7.
5
Suppose -2*i = -5*x + 50, 2*x - 2*i + 22 = 3*x. What is the remainder when 3 is divided by x/15*(-10)/(-4)?
1
Let q be (2 + -4)/(-1)*1. Suppose q*u - 256 = -2*u. Suppose -4 = d - 0*d, 3*j = 2*d + 74. Calculate the remainder when u is divided by j.
20
Let z(r) = r**3 + 13*r**2 + 8*r. Let h be z(-10). Suppose -h = -6*d + d. What is the remainder when d is divided by 23?
21
Suppose c + 5*z = -0*z + 26, 5*c = -5*z + 190. Calculate the remainder when 81 is divided by c.
40
Suppose 7*p = 2*p + 5. Calculate the remainder when 1 is divided by p.
0
Let n = -33 + 84. Calculate the remainder when n is divided by 18.
15
Let a(i) = 7*i**2 + 2*i + 1. Let z be a(-1). Let p = z + 1. Calculate the remainder when 19 is divided by p.
5
What is the remainder when 6/(-3) + -1*(-1 - 17) is divided by 10?
6
Suppose 70 = -4*f + 2*f. Let v = 56 - f. Calculate the remainder when v is divided by 23.
22
Let z = 4 - 2. Suppose -4*v + 64 = 2*u, 2*u + 3*u = -z*v + 168. Calculate the remainder when (u + -1)*(-3)/(-3) is divided by 17.
16
Suppose 0 = 2*u + 4*h - 38, -3*h - 1 = 5. Let v be 0/5 - -2*1. What is the remainder when u is divided by (v*-3)/(1/(-2))?
11
Suppose 9*c - 39 = 8*c. Suppose -3*o = 2*o. Let q(m) = m + 10. What is the remainder when c is divided by q(o)?
9
Let i = 152 + -126. Calculate the remainder when 179 is divided by i.
23
What is the remainder when 77 is divided by 21/42 - 78/(-4)?
17
Suppose 13 = -3*p - 5. Let j = p + 11. What is the remainder when 8 is divided by j?
3
Suppose -4*x + 5*k = -23, -4*x + 5*k + 30 = x. Let h = -55 + 139. Suppose 4*p - h = 2*c, 5*p - p - 4*c = 92. What is the remainder when p is divided by x?
5
Suppose -5*t + x + 4*x + 70 = 0, 5*t - 98 = -2*x. What is the remainder when 33 is divided by t?
15
Let f be ((-12)/(-10))/(4/10). Let s = 5 - f. Suppose -s = -3*z + 1, 2*o - 4*z = 26. Calculate the remainder when o is divided by 8.
7
Suppose 3*n - 9 = -3. Calculate the remainder when 11 is divided by 48/18*3/n.
3
Let h = -10 + -4. Let d = -5 + 9. What is the remainder when 2/1*h/(-4) is divided by d?
3
Suppose -4*m - 4 = -6*m. Suppose 2*z - 26 = -2*n, -m*n - 4 + 3 = -z. Calculate the remainder when 33 is divided by z.
6
Let w(n) = -n - 2. Let f be w(-5). Suppose -5*c + 10 = 4*m, m + 3 - 2 = -f*c. Suppose -3*x + 8*x - m = 0. Calculate the remainder when 2 is divided by x.
0
Suppose -175 = -57*a + 52*a. Calculate the remainder when a is divided by 12.
11
Suppose -5 = -2*q + 1. Suppose 3*t = -q*i - 0*t + 120, -2*t = -6. Let g = i - 21. What is the remainder when g is divided by 6?
4
Let x(a) = -4*a - 2. Let d(r) = 2*r**3 - 3*r**2 - r - 7. What is the remainder when d(3) is divided by x(-3)?
7
Suppose -3*v = d - 291, 175 = 5*v + 2*d - 310. What is the remainder when v is divided by 20?
17
Let n = -14 - 