the remainder when 68 is divided by p.
12
Let t(b) = 2*b**3 - 14*b**2 + 21*b + 1. Let l(r) = -r**3 + 7*r**2 - 11*r - 1. Let z(h) = 5*l(h) + 3*t(h). What is the remainder when 12 is divided by z(6)?
2
What is the remainder when (-11 + (-116)/(-12))*-723 is divided by 6?
4
Suppose 3*x - 182 = -5*o, 0 = -5*o + 5*x + 18 + 172. Let v = 36 - 17. What is the remainder when o is divided by v?
18
Suppose -2*f + 8 = 4*a - 0, 2*f + 2*a - 10 = 0. Calculate the remainder when f*2 - (13 - 15) is divided by 6.
2
Suppose 0 = -2*q + 35 + 43. Let p(i) = i**3 - 15*i**2 + 14*i + 14. Let v(y) = 2*y + 2. Let g be v(6). What is the remainder when q is divided by p(g)?
11
Suppose -z - 8 = 7. Let d = z - -31. Calculate the remainder when 4 + (-28)/6 - (-185)/3 is divided by d.
13
Suppose -5*l + 2*p + 166 = 0, -2*l - 64 = -4*l + 2*p. Calculate the remainder when 100 is divided by l.
32
Let s(o) = 98*o + 2151. Let l(h) = 4*h**2 - h - 1. Calculate the remainder when s(-21) is divided by l(3).
29
Suppose 3*j - 4*z - 9 = 6, 3*z = -3*j - 6. Calculate the remainder when 3 is divided by (j + -2)/(1/3)*-1.
0
Suppose 51 = x + 2*r, -4*x + r - 5*r = -192. What is the remainder when x is divided by 27?
18
Suppose 4*b - 3*d - 59 = 0, 2 = d + 7. Let p(z) = z**3 - 2*z**2 + 5*z - 4. Suppose -4 = 2*f - 10. Calculate the remainder when p(f) is divided by b.
9
Suppose 0 = 5*s - 5*b + 20, -2*b = -s + b + 6. Let c be (-376)/16 - 3/6. Let k = s - c. Calculate the remainder when 29 is divided by k.
14
Let l(d) = -d**3 + 10*d**2 - 3. Let n be l(9). Suppose -n = -u - 21. What is the remainder when u is divided by 15?
12
What is the remainder when ((-372)/248)/((-2)/36) is divided by (-46)/(-8) + (-2)/(-8)?
3
Let q = -7 + 9. Suppose -v + 11 = 5*c, q*v + v + c - 33 = 0. What is the remainder when 42 is divided by v?
9
Suppose 0 = -34*k + 580 + 1392. Calculate the remainder when 114 is divided by k.
56
Let s = 2179 - 2147. Calculate the remainder when 381 is divided by s.
29
Let i = -197 - -232. Calculate the remainder when 60 is divided by i.
25
Suppose 3*u + 8 = 7*u. Suppose 7*y - u*y + 4*z = -18, 0 = -2*y + 2*z - 18. What is the remainder when 28 is divided by 4/y + 234/27?
4
Let f be ((-3 - -4) + -74)/1. Let b = -52 - f. What is the remainder when 38 is divided by b?
17
Suppose -25*z = -20*z - 395. Calculate the remainder when z is divided by 10.
9
Calculate the remainder when 140/2*((-4)/(-10) - 0) is divided by 10.
8
Let o(l) = -2*l**2 - 1 - l**2 + 6 + l**3 - 1. Calculate the remainder when 13 is divided by o(3).
1
Suppose -4*h - 2056 = -7*h - 4*i, 2*i - 2748 = -4*h. Calculate the remainder when h is divided by 115.
113
Let s(m) = 36*m - 201. What is the remainder when 16 is divided by s(6)?
1
Suppose 2*h - 12 = 4*l - 0, 0 = 4*h + 3*l + 9. Let p(a) = 4*a**3 + 9 + 2*a - 3*a - 3*a**3. What is the remainder when 16 is divided by p(h)?
7
Let s = 118 - 78. What is the remainder when s is divided by 12?
4
Let q be (18/15)/((-2)/(-25)). Suppose -q*o - 62 = -257. What is the remainder when 90 is divided by o?
12
Let s(n) = -2*n**2 + 16*n + 77. What is the remainder when 28 is divided by s(11)?
6
Suppose 13*w = 8*w + 700. Let p = -72 + w. Suppose 5 = -5*r, 2*d = d - 5*r + 19. What is the remainder when p is divided by d?
20
Suppose -8*w + 24 = 4*r - 12*w, r + 5*w + 12 = 0. Suppose -3*d + 8 = -4. What is the remainder when d is divided by r?
1
Let p = -2 + 1. What is the remainder when 55 - ((-2 - -3) + p) is divided by (2 + -3)*0 + 19?
17
Let p(m) be the second derivative of -47*m**4/12 - m**2/2 + 3*m. Let c be p(-1). Let h = 88 + c. What is the remainder when h is divided by 21?
19
Let z(t) = 2*t + 5. Let m(l) = 15*l + 36. Let y(r) = 4*m(r) - 27*z(r). Let p(d) = 5*d - 4. What is the remainder when y(7) is divided by p(6)?
25
Suppose 7 = l - 0*l. Let i = l - -10. Suppose 0 = 5*x + 3*u - 145, -44 = 2*x - 4*u - 128. Calculate the remainder when x is divided by i.
15
Let g = -19 + 27. Let t = -190 - -120. Let n = 100 + t. What is the remainder when n is divided by g?
6
Let w be -7 + 51/(-12) + 2/8. Let n = 50 + w. Let u(q) = -q**3 - 5*q**2 + 5*q + 4. Calculate the remainder when n is divided by u(-6).
9
Let f(k) = k**3 + 21*k**2 - 3*k - 38. What is the remainder when 96 is divided by f(-21)?
21
Let c = 23 - 8. Suppose -v + 3*d = 0, -2*v - 2*d = -143 + 127. What is the remainder when c is divided by v?
3
Suppose -3*i = -i - 3*o - 47, 3*o = 4*i - 79. Let m = 4 + 4. Let b = 14 - m. What is the remainder when i is divided by b?
4
Suppose 4*u - 1901 = -11*z + 14*z, -u - 2*z = -467. Calculate the remainder when u is divided by 17.
14
Suppose 0 = 14*s - 271 - 205. Suppose -62*b - 20 = -67*b. Calculate the remainder when s is divided by b.
2
Let x(l) = l**3 + 10*l**2 - 10*l + 62. What is the remainder when 198 is divided by x(-11)?
45
Let w(g) = -5*g + 18. Let y be w(3). Suppose 5*p + 871 = y*z, 4*p + 582 = 3*z - z. Calculate the remainder when z is divided by 18.
17
Let s = -36 - -31. Suppose 0 = v + v - 4*r - 24, 3*r = 6. Let q = v + s. What is the remainder when 42 is divided by q?
9
Suppose -163 = 15*v - 1488 - 40. Suppose 5*o + 4*k - 38 = 69, 0 = -o - k + 21. Calculate the remainder when v is divided by o.
22
Let w(j) = 5*j**2 + 6*j. Let f be w(-9). Suppose d - f = -5*b, 0 = -b - b + d + 146. Calculate the remainder when b is divided by 18.
17
Suppose 18*v - 864 - 1692 = 0. What is the remainder when v is divided by 36?
34
Suppose 3*y - 9*i - 6 = -12*i, -2*i - 12 = -2*y. What is the remainder when 766 is divided by y?
2
Suppose 4*s - 9 = -3*s - 4*q, 5*q + 24 = 3*s. Calculate the remainder when 57 is divided by s.
0
Let l = -2686 - -2826. Calculate the remainder when l is divided by 116.
24
What is the remainder when 377 is divided by ((-70)/25)/((-26)/65)?
6
Let l(i) = -39*i + 57. Calculate the remainder when l(-1) is divided by 41.
14
Let r = 1139 - 839. Calculate the remainder when r is divided by 79.
63
Let t be (15/4)/(-5)*(-64)/8. Suppose w = -2*w + 6. What is the remainder when 16 is divided by (-4)/t*(-27)/w?
7
Let a(s) = -19*s - 23. Calculate the remainder when a(-3) is divided by 16.
2
Let n = 849 - 801. Calculate the remainder when 2829 is divided by n.
45
Suppose 2*l - y + 6*y - 10 = 0, 2*l + y = 10. Suppose 2*c - 164 = -l*k + 4*c, 4*c = 3*k - 104. What is the remainder when 90 is divided by k?
26
Suppose -2*i + 146 = 4*b - 5*i, 39 = b - 2*i. Calculate the remainder when 378 is divided by b.
28
Let a(j) = -4*j + 3 - j + 26*j**2 - 4*j**2 + 3*j. Let p be a(2). Let q = p - 61. Calculate the remainder when q is divided by 9.
8
Suppose 0*q = 3*q - a - 53, 2*q - 36 = a. Calculate the remainder when 112 is divided by q.
10
Let q(c) = 5*c + 115. Calculate the remainder when 159 is divided by q(-21).
9
Suppose -3*b - 52 = b. Calculate the remainder when 186 is divided by 13/(b/(-24)) + 3.
24
Let b(n) = 2 - 5*n + n**2 + 3*n**2 - 2*n**2. Let t = -89579 + 89583. Calculate the remainder when b(4) is divided by t.
2
Let k(q) = 2*q**3 + 3*q - 2. Let i be k(1). Suppose 3*l + 254 = 4*t + 72, i*l - t = -194. Calculate the remainder when ((-3)/9)/(2/l) is divided by 5.
1
Suppose -27*p + 24*p + 12 = 0. Suppose -5*y + 16 + 4 = 5*x, -x = -2*y - p. Let n = -6 + 20. What is the remainder when n is divided by x?
2
Let x(n) = 2*n**3 - 5*n**2 - n - 3. Let h(j) = j - 2. Let p be h(6). Calculate the remainder when x(p) is divided by 22.
19
Suppose -77 = -19*q + 8*q. What is the remainder when 2850/266 - ((-2)/q)/1 is divided by (1 + 0)*(-2 - -9)?
4
Let t(p) = 3*p**3 - 4*p**2 - 1. Calculate the remainder when 38 is divided by t(2).
3
Let v = 1442 + -1296. Calculate the remainder when v is divided by 52.
42
Let y(x) = -x**2 + x + 38. Let m be y(0). Suppose -m - 28 = -3*i. Let z = 2 + 10. What is the remainder when i is divided by z?
10
Suppose -3929 = 60*l - 11489. Calculate the remainder when l is divided by 26.
22
Let t(g) = -g + 33. Let f = -15 - -58. Calculate the remainder when f is divided by t(17).
11
Calculate the remainder when 86 is divided by 34/(-187) + 0 + 237/33.
2
What is the remainder when ((-15)/2 - -6)*5168/(-12) is divided by 59?
56
Suppose -56 = -4*m - 4. Suppose 2*x = m - 3. Suppose 0 = -x*d + 3*f + 348, 4*d - 277 = -0*f + f. Calculate the remainder when d is divided by 18.
15
Suppose 6 - 48 = -14*d