
14
Suppose 7*z = 2*z + 15. Suppose 0 = -5*q + 5*c + 160, 2*q + 4*c - 54 = c. Suppose 3 = 3*u - q. What is the remainder when u is divided by z?
2
Calculate the remainder when 27 is divided by 16 + (2/(-1) - -1).
12
Let u be (-11)/(-2) - 12/8. Suppose -680 = -0*k - u*k. Let h = k + -92. What is the remainder when h is divided by 20?
18
Suppose -3*y - 18 = -3*q, 33 = -4*y + q - 0*q. Calculate the remainder when 8 is divided by (-6)/y + 21/9.
2
Let d = -9 + 15. Let a = d - 1. Suppose -3*m - 2 = -8. Calculate the remainder when a is divided by m.
1
Suppose -2*f + 16 = -4*x, 2*x = -f - 3*x + 43. What is the remainder when 23 is divided by 4/18 + 230/f?
10
Let u = -108 - -186. Calculate the remainder when u is divided by 29.
20
Let v(l) = l**3 + 7*l**2 + 8*l + 12. Calculate the remainder when 90 is divided by v(-4).
6
Suppose p + 2*w - 1 = -5, -2*p - 2*w = 0. Let j(z) = z + 2. Let f be j(p). Calculate the remainder when (-3)/(-2 - (-11)/f) is divided by 10.
8
Let l be ((-30)/35)/(3/(-14)). Suppose -l*n + 44 = -36. What is the remainder when n is divided by 11?
9
Let q = 11 - -11. Let c = q - 12. Calculate the remainder when 39 is divided by c.
9
Let j be (-10)/(-4)*(0 + 2). Suppose -4*x - 4*s = 0, -j*x - 2*s - s = -6. Suppose 5 = 2*f - 5. Calculate the remainder when f is divided by x.
2
Suppose -29 - 22 = -3*g. Calculate the remainder when 81 is divided by g.
13
Calculate the remainder when (-28)/42*309/(-2) is divided by 21.
19
Let u = 1 - 2. Suppose 4*t - t - 45 = 0. Calculate the remainder when 1*2 - 42/u is divided by t.
14
Suppose 0 = -33*m + 32*m + 14. What is the remainder when 67 is divided by m?
11
Let c = -58 + 64. Calculate the remainder when 27 is divided by c.
3
Let z = 353 - 516. What is the remainder when z/(-7) - 6/21 is divided by 8?
7
Suppose 5*f + 5 = 3*y, -2*f - 4*y + 2*y + 14 = 0. Suppose -2*m + 48 = f*m. What is the remainder when 21 is divided by m?
9
What is the remainder when 215 is divided by 1 + -2 - (0 - 2) - -53?
53
Let x = -796 + 812. Suppose 0*o - 4*o + 120 = 0. What is the remainder when o is divided by x?
14
Let c be ((-18)/10)/((-3)/15). Suppose -g + c = -12. Calculate the remainder when g is divided by 6.
3
Let d = 6 + -1. Suppose -d*g + 15 = -45. Suppose -161 = -3*w + 5*b, -6*b + b = -5*w + 255. Calculate the remainder when w is divided by g.
11
Let v(x) = 11*x - 1. Suppose 3*s + 2*g = -5, -3*g + 11 = -s - 6*g. Let b(f) = -f**3 - 10*f**2 - 16*f + 4. What is the remainder when v(s) is divided by b(-8)?
2
Let k = -12 + 25. Let j = -115 + 164. What is the remainder when j is divided by k?
10
Let d(s) = s**2 - 3*s + 3. Suppose -7*g + 68 = -3*g. Suppose 3 = 4*b - g. Calculate the remainder when b is divided by d(3).
2
Let q(k) = k**2 + 0*k - 2*k + 1 - 7. What is the remainder when q(6) is divided by 10?
8
Let y be (-1)/((3 + -4)*1). Let v be (19 + y)*72/15. Suppose 2*k - 8 = 0, k - 2*k = 4*q - v. Calculate the remainder when 44 is divided by q.
21
Suppose 50 = 4*l - 4*w - 10, -5*w = -5. Suppose -5*h + g = -391, 7*g + 310 = 4*h + 9*g. What is the remainder when h is divided by l?
14
Suppose s + 1 = 5*y, -6 = -5*y + 2*y. Suppose -4*b = s - 1349. Suppose 0 = -4*r - r + b. What is the remainder when r is divided by 23?
21
Let c(i) = 3*i**2 - 4*i - 1. Let s be c(3). Let v = s - 7. Let p(y) = -y**2 - 17*y + 3. What is the remainder when p(-16) is divided by v?
5
Suppose -5*a + 4*a + 4 = 0. Suppose -3*y + 12 = 2*b + y, 0 = a*y - 4. Calculate the remainder when 11 is divided by b.
3
Suppose f - 21 = -0. What is the remainder when 39 is divided by f?
18
What is the remainder when (-3)/(6/(-110)) - (-2)/1 is divided by 21?
15
Suppose -2*y = -6*y + 172. Suppose 3*d + 5*h = 143, -2*d + 5*h + 62 = -0*d. Let i = d - 26. What is the remainder when y is divided by i?
13
Suppose -17 = -a - 3. Suppose -2*z - 4*j = a, -3 = -5*z - 3*j - 31. Let q(v) = -v**2 - 9*v + 1. What is the remainder when 41 is divided by q(z)?
20
Suppose -s = 2*f - 2*s - 13, 3*s = 3*f - 12. Calculate the remainder when 17 is divided by f.
8
Suppose -27*t + 23*t + 56 = 0. What is the remainder when t is divided by 5?
4
Let m(n) = n**3 + 15*n**2 - n + 30. What is the remainder when m(-15) is divided by 14?
3
Suppose 10 - 25 = -5*u. Calculate the remainder when 4 is divided by u*((-24)/(-9))/4.
0
Let c = 0 + 6. Suppose 2*t - t + 3*x + c = 0, 3*x + 6 = -4*t. Suppose -5*z + t = -30. What is the remainder when 16 is divided by z?
4
Suppose 48 = 3*f + m, 4*m + 77 = 4*f + m. Suppose -3*g + 11 = 4*c, -4*g + 15 = -g. Calculate the remainder when f is divided by ((-2)/c)/2*10.
7
Suppose 5*w = -3*s + 22, -2*s + 6*s + 5*w - 26 = 0. What is the remainder when s is divided by 3?
1
Let y be 3/(-9) - (-426)/9. Let p = 67 - y. Let m = -16 - -23. What is the remainder when p is divided by m?
6
Let a be (-4)/((0 - -1) + -2). Let y = 2 + a. Calculate the remainder when 17 is divided by y.
5
Let x(i) = i**3 + 18*i**2 - 15*i + 7. Calculate the remainder when x(-18) is divided by 40.
37
Let l(u) = -u**3 - 9*u**2 - 9*u - 1. What is the remainder when 14 is divided by l(-8)?
0
Suppose u + 2*u - 169 = 5*h, -u + 2*h = -57. Calculate the remainder when u is divided by 19.
15
Let r be ((-1)/(-1) + -1)/(-3). Suppose r = 2*y - 5*y + 15. What is the remainder when 18 is divided by y?
3
Suppose -4*v + 8 = -v + b, 3*b - 17 = -2*v. Let n(w) = w. Calculate the remainder when v is divided by n(1).
0
Let o = 7 - -11. What is the remainder when 65 is divided by o?
11
Let o(v) = 3*v**3 + v**2 - 3*v - 1. Let x be o(-2). Let j = x - -42. Let n(d) = -13*d**3 + d + 2. Calculate the remainder when j is divided by n(-1).
13
Suppose c + 1 = 7. What is the remainder when 5 is divided by 9/c*(-8)/(-6)?
1
Let f be (-1)/1 - 88/(-2). Suppose 3*s - 23 = f. Suppose -4*p = -2*n + 2 - 6, 5*n - 45 = -p. Calculate the remainder when s is divided by n.
6
Suppose 2*h - 4*i + 5*i = 6, 0 = -3*h - 4*i + 9. Suppose -d - 88 = -3*w - 0*d, h*w - 73 = 4*d. What is the remainder when w is divided by 11?
9
What is the remainder when ((-642)/12)/(3/(-6)) is divided by 27?
26
Let n = 19 + -8. Suppose 5*y - 3*y + 10 = -5*h, -y - n = 4*h. What is the remainder when y is divided by 8/(-12) - 28/(-6)?
1
Let a = 3 - -4. Calculate the remainder when a is divided by (-22)/(-4) - (-4 - (-54)/12).
2
Suppose 2*n - 14 = 10. Calculate the remainder when 47 is divided by n.
11
Let n be (0/(-1))/(0 + -1). Suppose n*z - 3*k = -3*z + 60, -2*k = 4*z - 98. Suppose 4 = q, -4*q + 32 + 20 = 3*g. Calculate the remainder when z is divided by g.
11
Calculate the remainder when 365/11 - 46/253 is divided by 17.
16
Let l be 40/(-18) - (-4)/18. Let x be l/(-7) - 19/(-7). What is the remainder when 66/x + 3/3 is divided by 12?
11
Let v = -13 - -18. Calculate the remainder when 19 is divided by v.
4
Let m(i) = -3*i**2 + 16*i + 2. Calculate the remainder when m(4) is divided by 12.
6
Suppose 5*x + 2*x - 231 = 0. What is the remainder when x is divided by 6?
3
Let r be 29/4 + 7/(-28). Let l = r + 9. Calculate the remainder when 47 is divided by l.
15
Let j = 0 + 6. Let q be ((-6)/(-8))/((-4)/80). Let c = -11 - q. What is the remainder when j is divided by c?
2
Suppose -4*b + 78 = 5*j + 19, 2*b - 52 = -4*j. Calculate the remainder when 43 is divided by j.
13
Let x(j) = 2*j**3 - 20*j**2 + 6*j + 10. What is the remainder when x(10) is divided by 8?
6
Let d(c) = 34*c + 6. What is the remainder when d(4) is divided by 29?
26
Suppose 23 = -2*k + 5*h, -2*k - 13 = -0*k - 3*h. Let d = k + 6. What is the remainder when 19 is divided by d?
5
Calculate the remainder when 53 is divided by 3/(-3)*-1*18.
17
Suppose -8*t + 7*t + 18 = 0. What is the remainder when 30 is divided by t?
12
Suppose 4*l + 44 = 8*l. What is the remainder when 30 is divided by l?
8
Suppose t + p - 33 = -p, -p + 174 = 5*t. What is the remainder when t is divided by 9?
8
Suppose 6 + 4 = 5*r. Suppose 6*q = r*q + 5*k + 121, 2*q = -4*k + 54. What is the remainder when q is divided by 10?
9
Let i = 46 - -11. Suppose 4*o - i - 99 = 0. Calculate the remainder when o is divided by 10.
9
Suppose 3*w - 8 + 20 = 0, 14 = 3*f - 2*w. Let b(n) = -n**2 + 10*n - 4. Let c be b(9). Suppose -36 = f*i - c*i. What is the remainder when 35 is divided by i?
11
Let u(i) = -i**2 + 4*i - 1. Let c be u(3). Suppose -c*v + 12 = v.