ulate the remainder when r(p) is divided by 8.
5
Suppose 2*k - 64 = 4*d - 0*d, 5 = -5*d. Let i = k - 1. Suppose -3*v + 0*v = -30. What is the remainder when i is divided by v?
9
Suppose -2*l = 3*c - 17, 0 = 2*c + 3*l - 0*l - 8. Suppose 96 = -3*r + c*r. What is the remainder when r is divided by 13?
11
What is the remainder when 55 is divided by 8/24 + 82/6?
13
Suppose 0 = -4*q + q - 30. Suppose 0*h + 16 = 2*h. Calculate the remainder when h is divided by 2/(6/q - -1).
3
Let v(d) = -36*d. Let s(j) = j. Let r(u) = 60*s(u) + 2*v(u). Calculate the remainder when 21 is divided by r(-1).
9
Suppose -3*j + 5 = -4. Calculate the remainder when 21 is divided by (-1)/3 - (-34)/j.
10
Let j be (5/3)/(1/3). Suppose 0 = 2*m - 3*h - 1, 2*m - j*h + 4 = -h. Calculate the remainder when 30 is divided by m.
6
Let t(i) = 5*i**2. Let h be t(1). Let r be -1 + h + 0/1. Suppose c - r - 11 = 0. Calculate the remainder when c is divided by 9.
6
Let r = 5 - 6. Let d(a) = -17*a + 1. What is the remainder when d(r) is divided by 7?
4
Suppose -20 = j - 49. What is the remainder when 56 is divided by j?
27
Suppose -3*d + 0*j = 4*j - 52, -5*j = -d - 8. Calculate the remainder when d/(-66) - 79/(-11) is divided by 3.
1
Let f(u) = -4 + 2*u - 3*u + 4. Calculate the remainder when 7 is divided by f(-2).
1
Suppose 7*g - 198 = g. What is the remainder when g is divided by 9?
6
Let p = 46 + -79. Let n = -60 - p. Let b = 38 + n. What is the remainder when 32 is divided by b?
10
Calculate the remainder when 40 is divided by 18/63 - 94/(-14).
5
Let n = -9 + 18. Suppose s - 2*s = -15. What is the remainder when s is divided by n?
6
Suppose -3*a - 73 = -0*l - 2*l, 5*a + 111 = 3*l. What is the remainder when l is divided by (-2 - (6 - 26)) + 0?
14
Let q(c) = 14*c + 3. Suppose -4*u - 2*v + 12 = 0, 7*u - 3*u + 3*v - 14 = 0. Calculate the remainder when q(u) is divided by 11.
9
Suppose -4*w = -m - 11, m + 3*w - 6 - 11 = 0. Suppose -m*a + 92 + 3 = 0. What is the remainder when 55 is divided by a?
17
What is the remainder when 33 is divided by 26/((-8)/2 - -6)?
7
Suppose -5 = 2*y + 3*y. Let x(m) = -8*m + 4. What is the remainder when (0 - -47)*1*1 is divided by x(y)?
11
Let m = -14 - -40. What is the remainder when 155 is divided by m?
25
Suppose 69 = -4*y + y. Let s = y - -40. Let w = -55 - -87. Calculate the remainder when w is divided by s.
15
Calculate the remainder when 51 is divided by 24/56 + (-95)/(-7).
9
Calculate the remainder when 58 is divided by (-1125)/90*((-6)/5 + 0).
13
Suppose -6*b + 2*b = 3*p - 5, p - 10 = -3*b. Suppose -o - 4*w = 0, 4*o - 2*w - 57 = w. Calculate the remainder when o is divided by b.
2
Suppose -4*q + 76 + 4 = 0. Let h(m) = m + 1. Let o be h(1). Suppose 0 = o*n + 3*n - 55. What is the remainder when q is divided by n?
9
Let u = 87 + -78. Calculate the remainder when 14 is divided by u.
5
Let i = 3 + -3. Suppose 3*u + 0*u = 3, i = -4*t + 3*u + 29. Suppose -6*s = -4*s - 3*x - 31, -s + 3*x + 8 = 0. Calculate the remainder when s is divided by t.
7
Suppose 3*b = -p + 9, -3*p - 2*p + 13 = -b. Calculate the remainder when 56 is divided by (-19)/((-1 + b)/(-1)).
18
Suppose -q + 2 = -2. What is the remainder when 14 is divided by q?
2
Let q(z) be the third derivative of 7*z**5/60 - z**4/8 - z**3/3 - z**2. What is the remainder when q(-2) is divided by 11?
10
Suppose -7*r = -5*r - 14. Suppose 13 = g + 2*c - c, -g + 5*c + 1 = 0. Calculate the remainder when g is divided by r.
4
Let w = 49 + -26. What is the remainder when 43 is divided by w?
20
Suppose 2*d - 18 = -2*q, -5*d + 61 - 16 = 3*q. Calculate the remainder when 26 is divided by d.
8
Suppose 4*t - 298 = -3*d + 5*d, -218 = -3*t - 4*d. What is the remainder when t is divided by 25?
24
Suppose -2*z + 2 = 4*f - 2, 3*f = 4*z - 19. Let o = 4 - 2. Let q = o + z. What is the remainder when 10 is divided by q?
4
Let l = -9 - -32. What is the remainder when -1 - -91 - (-1 + 1) is divided by l?
21
Let p(z) = z**2 - 3. Let g be p(-3). Let j(y) = -y**2 + y**3 - 9*y**2 + 3*y**2 - 6 - g*y + 2. What is the remainder when j(8) is divided by 7?
5
Let f(p) = 2*p**2 - 4*p - 2. Let r = 4 + -2. Suppose -5*a + 0*o + o = -22, -3*a - 5*o = -r. Calculate the remainder when 41 is divided by f(a).
13
Suppose 0 = -2*w - 2*d + 48, 2*w + 0*d + d - 43 = 0. What is the remainder when w is divided by 11?
8
Let o(w) = -2*w + 8*w**2 - 14 - 3*w**2 + 14. What is the remainder when o(2) is divided by (2/(-4) + 1)*18?
7
Calculate the remainder when 102 is divided by (2 - -1) + (-368)/(-16).
24
Let r(o) = o**2 + 25*o + 35. Suppose 3*q - 2*q - 21 = 0. What is the remainder when q is divided by r(-24)?
10
Let q(i) = -i**2 + 7*i + 2. Let z be q(7). Let c(w) = 4*w**2 + 3*w - 1. Suppose 2*j - 11 = 11. Calculate the remainder when c(z) is divided by j.
10
Let p(q) = -2*q + 5. Suppose 5*k + 36 = 4*u + 2*k, 3*k - 48 = -3*u. Calculate the remainder when p(-9) is divided by u.
11
Let l(a) = a**2 - 10*a + 14. What is the remainder when 1/(-5) - (-264)/20 is divided by l(9)?
3
Suppose -2*w - 14 = -s + 2*w, -4*s - 4 = 4*w. Let u = s + 0. Suppose 3*q - 4*q + u = 0. What is the remainder when 5 is divided by q?
1
Let j(a) = a**2 + 4*a - 7. What is the remainder when 69 is divided by j(-7)?
13
Suppose -y - 2*y + 9 = 0. Let r = 5 - y. Let p = 127 + -125. What is the remainder when p is divided by r?
0
Let a = 83 + -43. Suppose 0*n - a = -5*n. Calculate the remainder when n is divided by 5.
3
Let p = 21 - 9. Let a be (1 + -2)/(1/p). What is the remainder when ((-20)/a)/((-1)/(-21)) is divided by 12?
11
Let b(h) be the first derivative of -5*h**2 - h + 2. Calculate the remainder when b(-3) is divided by 10.
9
Calculate the remainder when 25 is divided by 94/10 - 12/30.
7
Suppose -4*r = 2*p - 4, p + r + 4*r + 7 = 0. Calculate the remainder when (-54)/(-4) + 9/6 is divided by p.
7
Suppose -4*n + 2*p + p + 5 = 0, 4*n = p + 7. Calculate the remainder when 26 is divided by n*((-6)/(-4) + 3).
8
What is the remainder when (-14)/(-1 - 0) + 3 is divided by 10?
7
Let f = -10 + 26. Calculate the remainder when 59 is divided by f.
11
Let h(l) = -11*l**3 + 2*l**2 + l. Let i(t) = -10*t - 1. Let a be i(-1). Suppose a*o - 115 = 4*o. Calculate the remainder when o is divided by h(-1).
11
Let z be 2 + 0 + -8 + 1. Let o = 19 + z. What is the remainder when 110/4 - (-4)/(-8) is divided by o?
13
Let r = 4 + 16. Suppose 40 = 5*u - r. What is the remainder when 46 is divided by u?
10
Let y(n) = n**2 + 8*n + 16. Calculate the remainder when 15 is divided by y(-7).
6
Suppose 0 = -3*l + 7*l - 52. Calculate the remainder when 47 is divided by l.
8
Let v = 12 + -8. Let c = -9 - -17. Let b = c - 5. Calculate the remainder when v is divided by b.
1
Let z be (-8)/14*(-4 - 3). Suppose p - 2*p = -z*u - 21, 4*p - u = 99. Suppose -4*v = -7*v + 21. What is the remainder when p is divided by v?
4
Suppose -6*n - 52 = -238. Calculate the remainder when n is divided by 11.
9
Suppose 0 = 3*r + r + 4. Let w be (r/(-3))/(4/48). Suppose -3*c = -w*l + 34, -30 = -2*l - 0*c - 5*c. What is the remainder when 39 is divided by l?
9
Suppose -87 = 5*f + 4*n, 3*f - 5*n - 13 = -80. Let t = -12 - f. Calculate the remainder when 20 is divided by t.
6
Let m(h) = -h**2 + 9*h - 4. Suppose -4*q - 4 = -12. Suppose 5*r = -2*f + 30, q*f - 3*r + 2 = -0. Calculate the remainder when m(f) is divided by 9.
7
What is the remainder when (-1653)/(-15) + (-2 - 1)/15 is divided by 16?
14
Suppose w + 58 = 4*z, -21 = z - 2*z - 3*w. What is the remainder when z is divided by 8?
7
Suppose -d + c + 24 = 0, 0 = -4*d + 2*c - 0*c + 86. Let i = -11 + d. Calculate the remainder when 13 is divided by i.
5
Let k be 4*(-120)/(-2 + 0). Suppose -126 = -3*j - 4*a, -k + 56 = -5*j + 2*a. What is the remainder when j is divided by 10?
8
Suppose -c - c = 5*o - 110, -5*c = -25. Let u = o - 16. Suppose 0*w - 3*w + 35 = -2*s, -5*w + 2*s + 57 = 0. Calculate the remainder when w is divided by u.
3
Suppose 0 = s + 2*s - 3. Let d(c) = -c**3 - 5*c**2 - 5*c - 4. Let v be d(-4). Let r = s - v. What is the remainder when r is divided by 1?
0
Let n(r) = 13*r - 1. Let l be n(-1). Suppose 4*k + u = 77, 4*u = -2*k + 7*k - 91. What is the remainder when (-500)/l + 2/7 is divided by k?
17
Suppose 2 = -2*f + o + 17, 5*f - 35 = 2*o. Suppose -2*z = -z - f*n - 23, -3*z + n = -1