alculate the remainder when 31 is divided by z.
14
Let p = 307 - 305. What is the remainder when 11 is divided by p?
1
Suppose 0 = -9*h + 8*h + 1039. What is the remainder when h is divided by 13?
12
Let b be (-64)/(-6)*(3 + 0). What is the remainder when 26 is divided by ((-2)/(b/20) + 2)*16?
2
Let x(q) = 10*q**2 + 5*q - 5. Let t(g) = -g + 1. Let u(j) = -8*j + 3. Let i(s) = -6*t(s) + u(s). What is the remainder when x(1) is divided by i(-3)?
1
Suppose -7*i = -143 - 235. What is the remainder when 92 is divided by i?
38
Suppose -5*o + 8 + 12 = 0. Let z(w) = w + 10. What is the remainder when (-595)/(-21) - o/(-6) is divided by z(0)?
9
Let r(o) = 11*o - 103. Calculate the remainder when 409 is divided by r(10).
3
Suppose -3*w = w - 80. Let c(i) = i**2 + 8*i - 9. Let y be c(-9). Let r(h) = -h**2 - 4*h + 11. Calculate the remainder when w is divided by r(y).
9
Let s(n) = n**3 + 13*n**2 + 27*n - 24. Calculate the remainder when 15 is divided by s(-10).
3
Suppose 0 = 8*f - 6*f - 1060. What is the remainder when -3 + 186/66 - f/(-11) is divided by 10?
8
Let f(m) = -m**3 - 7*m**2 - m + 12. Let w = 16 - 21. Let n be f(w). Calculate the remainder when 3/(1/n*-3) is divided by 12.
9
Let b(i) = -38*i + 2. Calculate the remainder when b(-2) is divided by 20.
18
Let i = -438 - -713. Let m = i + -261. Suppose v = 5*q - 40, v - 49 + 9 = -5*q. What is the remainder when m is divided by q?
6
Let t(h) = h + 1. Let x be t(-1). Suppose 6*b + 3*j - 114 = 3*b, 4*b - 2*j - 140 = x. What is the remainder when b is divided by -1 - (8/(-4) + -12)?
10
Let j(w) = w**3 - 5*w**2 + 8*w + 4. Let b = -858 + 867. What is the remainder when j(6) is divided by b?
7
Let b(u) = u + 48. What is the remainder when b(5) is divided by 20?
13
Suppose -3*v - 495 = -3*x, 32*x + 183 = 33*x + 5*v. Calculate the remainder when x is divided by 44.
36
Suppose 3*i - 113 - 200 = -4*r, -5*r = -2*i + 224. Let u = 77 + -50. What is the remainder when i is divided by u?
26
Let s = -1 + 6. Let k(u) = u + 16. Let p be k(-11). Suppose -3*f + p*m = -54, s*m + 27 = f + 9. Calculate the remainder when f is divided by 5.
3
Suppose -9 = -4*x + 11. Suppose -x*q + 79 = -u, 0*u + 36 = 2*q + 4*u. What is the remainder when (28/63*-15)/((-1)/9) is divided by q?
12
Let x = 680 + -630. What is the remainder when 196 is divided by x?
46
Let x(w) = -w**2 - 4*w + 5. Let y be x(-5). What is the remainder when 0 + ((-140)/(-4) - y) is divided by 9?
8
Suppose -436 = -6*l + 2*l + 2*x, 3*l - 2*x = 327. Let q = 148 + -208. Let j = 88 + q. What is the remainder when l is divided by j?
25
Let i = 1394 + -1353. What is the remainder when 981 is divided by i?
38
Let p be 3 + (-5 - -1) + 3. Suppose 4*m - 5*m = 3*v - 10, 5*m - p*v = 16. What is the remainder when (6/m)/(6/8) is divided by 1?
0
Suppose 1006*l = 1002*l + 144. Calculate the remainder when 148 is divided by l.
4
Suppose 5*s = 16 + 84. Calculate the remainder when 75 is divided by s.
15
Suppose -510 = 6*y - 16*y. Suppose -5*r - 42 = -112. What is the remainder when y is divided by r?
9
Let u(f) = f**2 + 15*f + 10. Let h be u(-16). Suppose -3*p + 0*z + 18 = -2*z, -p = -2*z - 6. What is the remainder when p is divided by (h + -23)/(6/8)?
2
Suppose 2*w = 2*a - 52, 0*a - 5*w - 104 = -4*a. What is the remainder when 4/((-16)/(-516))*1 is divided by a?
25
Let w be 3/(-2*6/(-8)). Let l be w/4 - (-56)/16. Suppose 6*b - 5 = -4*d + 3*b, -12 = -4*d + l*b. Calculate the remainder when d is divided by 1.
0
Suppose -2*b - 42 = 5*f, -b + 2*f - 6 = 24. Let z = b + 66. What is the remainder when z is divided by 7?
5
Let g(m) = -24 - m + 0*m - m + 5*m. What is the remainder when 55 is divided by g(13)?
10
Let i(u) = 17*u**2 + 34*u - 2. What is the remainder when i(-8) is divided by 43?
40
Suppose 25*j - 272 = -5*y + 24*j, -278 = -5*y - 4*j. What is the remainder when 152 is divided by y?
44
Let w(p) = -p**2 + 7*p + 21. Suppose -16 = -s + t + 4*t, -2*t - 13 = -s. What is the remainder when w(7) is divided by s?
10
Let k(r) = -r**2 - 22*r - 42. Let z be k(-20). Calculate the remainder when z/6 - (-1456)/48 is divided by 4.
2
Let s = 620 + -609. Let y(c) = 2*c**2 + c - 4. Calculate the remainder when y(-3) is divided by s.
0
Suppose -224 = -u - u + m, -5*m + 420 = 4*u. Let b = 12 + 25. What is the remainder when u is divided by b?
36
Calculate the remainder when 428 is divided by (243/15 - 3)/(8/20).
32
Let q(g) = 15*g**3 - 2*g**2 + g. Let a be -4*(2/(-12))/(3/(-9)). Let m(s) = -7*s**3 - 2*s**2 - 4*s - 1. Calculate the remainder when m(a) is divided by q(1).
13
Let m = 1009 - 952. What is the remainder when m is divided by 3*(1 - -3)*1?
9
Suppose 14*q - 31 = 25. Calculate the remainder when (5/4)/(2/24) is divided by q.
3
Let p = -11 + 104. Let y be -56 - -1*0/(5 + -1). Let g = y + p. Calculate the remainder when g is divided by 19.
18
Suppose -55*l + 611 = -214. Calculate the remainder when 237 is divided by l.
12
Let q = 49 - 29. Suppose -4*r = -9*r + q. Calculate the remainder when 35 is divided by (2/r)/(1/38).
16
Suppose -4*x = -0*x - 4*k - 64, 5 = -k. Suppose -5*z - 3*o = -23, 3*z - 4*o - 7 = o. Suppose 3*n + 31 = z*n. What is the remainder when n is divided by x?
9
Suppose 11 = -2*r + 21. Suppose -3*g - 5*z + 130 = 41, -4*g - 4*z + 132 = 0. Calculate the remainder when g is divided by r.
3
Let x = -8 - -56. Suppose -x = -10*c + 9*c. Calculate the remainder when c is divided by 10.
8
Let m = 574 - 471. What is the remainder when m is divided by 28?
19
Suppose -z + 6 = -4*p, -4*z - 7 = -8*z - p. Suppose 3*r + 0*g + 5*g - 47 = 0, -g = -2*r + 27. What is the remainder when r is divided by 15/(-18)*z*-3?
4
Suppose i + 1681 = 42*i. Calculate the remainder when 124 is divided by i.
1
Let q(c) = -c**2 + 11*c - 26. Calculate the remainder when 7 is divided by q(6).
3
Let r = 100 - 66. Calculate the remainder when r is divided by -2 + (-4)/1 + (-2505)/(-167).
7
Suppose -453*n - 546 = -467*n. Calculate the remainder when 73 is divided by n.
34
Suppose -5*t - 25 = 15. Let l be (t/6)/(2/(-6)). Calculate the remainder when (-280)/(-12)*6/l is divided by 19.
16
Suppose -2*r - 94 = 3*x - 8*x, 4*x - 92 = -4*r. What is the remainder when x is divided by 2?
0
Suppose 7 = 9*u - 20. Calculate the remainder when 5 is divided by (0 + (-2)/(-9 + u))*3.
0
Let k = -72 + 80. What is the remainder when 77 is divided by k?
5
Suppose -3*y + 84 = y - 4*m, m = -3*y + 43. Let s = -9 - -13. Calculate the remainder when (-4)/y - -1*(-148)/(-16) is divided by s.
1
Let i(h) be the first derivative of h**3/3 + 7*h**2/2 - 16*h + 6. Calculate the remainder when 3 is divided by i(-9).
1
Suppose 0 = -4*u + 3*r + 32 + 16, -5*r - 40 = -4*u. Calculate the remainder when (6/u)/((-2)/(-110)) is divided by 8.
6
Calculate the remainder when 139 is divided by 4 - (54/6)/(9/(-12)).
11
Let l(m) = -m**2 - 6*m + 2. Let x be l(-4). Let c = x - 8. Suppose -90 = -5*o + 3*w + 2*w, -c*w - 4 = 0. Calculate the remainder when 30 is divided by o.
14
Suppose -p = -0*p - q + 5, 2*p = -4*q + 2. Let j = 19 - p. Suppose -3*v + l - 7 = -35, -5*l = -3*v + 44. Calculate the remainder when j is divided by v.
6
Suppose j = -26 + 64. What is the remainder when 147 is divided by j?
33
Suppose 3*g - 5 + 11 = 0, -3*g - 114 = -3*r. Calculate the remainder when 66 is divided by r.
30
Suppose -n + 2*n = 63. Suppose 2*t - 5*t = -n. Suppose 0 = 2*o - 125 + t. Calculate the remainder when o is divided by 11.
8
Let j be (-4)/(-16) + 246/8. Let k = 60 - j. Calculate the remainder when k is divided by 10.
9
Let k(s) = s**3 - 9*s**2 + 8*s + 22. What is the remainder when k(9) is divided by 17?
9
Let o be 13/(26/40)*4. Suppose -o = -3*j - 5*j. Calculate the remainder when j is divided by (3 - (3 + -1)) + 1.
0
What is the remainder when 24 is divided by 4 + 105/7 + -6?
11
Let n(d) = -d**2 - 4*d + 3. Let a be n(-4). Suppose -4*u + 2*f + a = 51, 0 = 2*u - 3*f + 32. What is the remainder when 12 is divided by 2/(-5) - 54/u?
2
Suppose -510*o + 499*o = -286. What is the remainder when 121 is divided by o?
17
Let z be -1 + (-2)/(-4)*-6. Let l = z + 8. Suppose 3*q - 3*n - 15 = -2*n, -5 = -q + l*n. What is the remainder when q is divided by 3?
2
Let q(y) = -y + 3. Let o be q(-3). Let l = o - 3. Suppose h - l*d - 16 = 0, 0 = -3*h - d - 0*d + 8. What is the remainder whe