. Suppose -b = -z - k*z. Calculate the remainder when 22 is divided by z.
10
Suppose -x + 2 = -1, 4*b = -4*x + 8. Suppose -3*a - 4*k + 39 + 3 = 0, 4*k + 48 = 2*a. Let f = a + b. What is the remainder when 33 is divided by f?
16
Let c = 1062 + -994. Let f(b) = b**3 + 18. Calculate the remainder when c is divided by f(0).
14
Suppose 0 = -3*u - 3*g + 183, 4*u - 7*g + 5*g - 238 = 0. What is the remainder when u is divided by 21?
18
Suppose 4*z + 4 = 5*a + 43, 74 = 4*z + 2*a. Suppose 3*p - 3*d + d = 22, -5*p + 4*d + 34 = 0. What is the remainder when z is divided by p?
6
Suppose 2 = -4*m - 5*w + 4, 3*m = 3*w - 12. Let g = 1 - m. Suppose -g*s = 4*l - 91, 2*s + 0*s = 5*l + 99. What is the remainder when s is divided by 13?
11
Let y be 22/6 - 2/3. Suppose y*x = -2*f + 47 - 6, 0 = -3*x + 15. What is the remainder when 37 is divided by f?
11
Let a(k) = 2*k**2 + 2*k - 3. Let j be (0 + 4)/(-4)*3. Calculate the remainder when a(j) is divided by 6.
3
Suppose -4*d - 8 = 0, -5*b + 2*d + 12 = -b. Suppose -5*q - b*t = -30, 3*t = -3*q - 2*q + 25. What is the remainder when 14 is divided by q?
6
Calculate the remainder when ((-6)/(-33) - 0) + 2394/22 is divided by 16.
13
Let x(b) = -17*b**3 - b**2 - b + 1. Calculate the remainder when x(-1) is divided by 13.
5
Suppose 7*r - 81 = -25. What is the remainder when 46 is divided by r?
6
Suppose 0 = 2*r + r - 36. Suppose 0 = 5*l - 2*l - 63. Calculate the remainder when l is divided by r.
9
Suppose 3*v + 6*w = 4*w + 22, 3*w = -12. Let c(f) = 3*f**2 + 2*f - 3. What is the remainder when c(-3) is divided by v?
8
Let k(q) = 3*q - 9. Let p(x) = 2*x - 10. Let u(v) = -5*k(v) + 4*p(v). Calculate the remainder when u(-4) is divided by 9.
6
Let s(h) = 5*h**3 + 12*h**2 - 3*h + 11. Let f(c) = -4*c**3 - 11*c**2 + 3*c - 10. Let z(a) = 7*f(a) + 6*s(a). What is the remainder when 26 is divided by z(3)?
12
Let b(x) = x**2 - x - 1. Suppose v = -v + g + 25, -4*g - 30 = -v. What is the remainder when b(6) is divided by v?
9
Suppose -4*j = 4, -238 = -t - 4*t + 3*j. Calculate the remainder when t is divided by 6.
5
Suppose -5 = -x - 4*h, 0*x + 5*x - 4*h = 97. What is the remainder when x is divided by 10?
7
Let a be (-176)/(-28)*(-14)/(-4). Let y = 18 - 12. What is the remainder when 648/66 + 4/a is divided by y?
4
Let g = 11 + -8. Suppose -g*t = -6 - 0. Suppose t*x - 3 - 3 = 0. What is the remainder when 11 is divided by x?
2
Let q(u) = 6*u**2 + 3*u - 3. What is the remainder when 53 is divided by q(2)?
26
Suppose -2*v - 8 = -6*v. Let s be 34/v + -3 + 2. Suppose -3*f - f + s = 0. Calculate the remainder when 6 is divided by f.
2
Suppose 0 = -3*q - q + 52. What is the remainder when 45 is divided by q + 0 - (1 + 0)?
9
What is the remainder when 34 is divided by (-3)/4 + (-600)/(-32)?
16
Let b(v) = -v**3 + 8*v**2 - 4*v - 5. Let n be b(7). Let s = n - 10. What is the remainder when 9 is divided by s?
3
Let s(g) = g - 6 + 10 + g. Let w be s(-7). Let f = w - -27. Calculate the remainder when f is divided by 6.
5
Let f(a) be the first derivative of 9*a**2/2 + 4*a + 8. Calculate the remainder when 62 is divided by f(2).
18
Suppose 0 = -0*l + 4*l - j - 48, -5*j = 3*l - 13. What is the remainder when l is divided by 7?
4
Let c(w) = -w - 4. Let d be c(-5). Let u = 1 + d. What is the remainder when 2 is divided by u?
0
Suppose 53 - 62 = -j. What is the remainder when 61 is divided by j?
7
Calculate the remainder when ((-196)/(-70))/(4/10) is divided by 5.
2
Let v(u) = -4*u - 7. Let z be 36/10 + (-6)/(-15). Suppose -z = -2*c - 18. What is the remainder when v(c) is divided by 11?
10
Suppose -2*j - n = -3*j + 31, -4*j = 4*n - 148. Let f = j - 1. Suppose 0 = -5*p + 104 - 14. What is the remainder when f is divided by p?
15
Let d = 57 + -43. Calculate the remainder when 38 is divided by d.
10
Suppose 3*i - 183 = -3*s, 0 = 4*i + s + s - 236. Calculate the remainder when 227 is divided by i.
56
Let c = 104 + -49. Let b(l) = -3*l**3 - 3*l**2 + 1. Let q be b(-2). Let u = 6 + q. Calculate the remainder when c is divided by u.
17
Let v = 5 - 0. Suppose u + 4 = -2*q + 3*q, -18 = -4*q + v*u. Let x = q - -1. What is the remainder when 8 is divided by x?
2
Suppose -290 = -2*i + 64. What is the remainder when i is divided by 36?
33
Let r = 31 - 12. Suppose 3*v - 54 = 162. Suppose 3*w = w + v. Calculate the remainder when w is divided by r.
17
Let r = 1 - -13. Suppose 0 = -d - 3, -4*a + 3*a + 3*d = -r. What is the remainder when 8 is divided by a?
3
Let x(n) be the first derivative of n**3/3 + 3*n**2/2 + 3*n - 1. Calculate the remainder when x(-6) is divided by 8.
5
Let i be 6/14 + 60/(-42). Let r = -1 + 6. Calculate the remainder when r is divided by 14/8 + i/(-4).
1
Let l = 2 + -2. Let p be (1 - -1) + l + 16. Suppose -f + p = 2*f. Calculate the remainder when 11 is divided by f.
5
Let p(z) = z**3 - 4*z**2 + 2*z + 1. Let c(q) = q**2 - 11*q + 9. Let a be c(10). What is the remainder when (-28)/(-2) - 3/a is divided by p(4)?
8
Let h(b) = b**3 - 19*b**2 + 3*b - 4. Calculate the remainder when h(19) is divided by 7.
4
Suppose 3*n + n - 16 = 0. Suppose 4*p + 14 = 2*i, -2*i + p + 16 = -2*p. What is the remainder when i is divided by n?
3
Let l(d) = d**2. Let y be l(2). What is the remainder when 192/10 - y/20 is divided by -5*4/(-7 - -3)?
4
Let w(t) be the first derivative of -t**2 + 6*t - 6. Calculate the remainder when 62 is divided by w(-5).
14
Suppose 4*f + 0*f = -w + 23, -5*w = -f - 220. What is the remainder when w is divided by 12?
7
Suppose -6*b = -b. Suppose c + 4*c - 4*k - 259 = b, -260 = -5*c + 5*k. What is the remainder when c is divided by 18?
15
Let z be -3 + -1*(0 + -17). Let m = 31 - z. Calculate the remainder when (-4)/(-6) - (-94)/3 is divided by m.
15
Suppose 4*x = 2*n - 12, -3*x - 18 = 5*n - x. Let b(q) = 2*q**2 + q - 2. What is the remainder when 6 is divided by b(n)?
2
Let o(v) = -v**3 + 11*v**2 - 13*v + 9. What is the remainder when o(7) is divided by 24?
18
Suppose -3*t = -6*t. Suppose -45 = -5*v - 5*r, 3*v - 2*r - 32 = -t*r. What is the remainder when v is divided by 4?
2
Suppose -4*u = -3*u - 1. Let v = -4 + u. Calculate the remainder when 14 is divided by (8/(-3))/(v/9).
6
Let n = -2 - -9. Let v = 32 - 19. What is the remainder when v is divided by n?
6
Let j = 25 + -10. Let n(v) = -44*v - 2. Calculate the remainder when n(-1) is divided by j.
12
Let n be (20/25)/(4/10). Suppose 4*j - 9 = 2*g - g, -5*g = n*j + 23. Suppose -2 = -4*u + 2. What is the remainder when j is divided by u?
0
Let q be ((-39)/9 + 3)*-3. Suppose 0 = -3*t - 4*u + 50, 2*t = -0*t + q*u + 40. Calculate the remainder when 34 is divided by t.
16
Suppose -3*l = 2*i - 0*i - 49, -l = -3*i + 57. What is the remainder when 58 is divided by i?
18
Let q = 60 + -47. Let f = -63 + 112. What is the remainder when f is divided by q?
10
Suppose 4*v - 3*h - 229 = 0, -3*v = -9*h + 10*h - 175. What is the remainder when v is divided by 31?
27
Let q(r) = -r**3 - r**2 - r + 7. Let j be q(0). Suppose 0 = -p + 4*o - j*o + 67, p = 5*o + 51. Let f = -27 + p. What is the remainder when f is divided by 18?
16
Let k = -47 + 75. What is the remainder when 54 is divided by k?
26
Suppose 4*y - 8 - 4 = 0. Suppose 4 = 5*t - g, -y*t + t - 3*g + 5 = 0. What is the remainder when 1 is divided by t?
0
Calculate the remainder when 52 is divided by (-97)/(-9) - (-12)/54.
8
Suppose 0 = -g + 4*n - 3*n + 56, 3*n + 112 = 2*g. Suppose 0*a + g = 2*a. Calculate the remainder when a is divided by 10.
8
Let o = -73 + 160. What is the remainder when o is divided by 3/((-141)/(-66) - 2)?
21
What is the remainder when 31 is divided by 44/6*(-3)/(-2)?
9
Let x = 7 + -2. Suppose 0 = 5*y - g - 677, 8*y - 4*y - x*g - 529 = 0. Suppose y = b + 3*b. Calculate the remainder when b is divided by 12.
10
Let k be (13 - 3)*4/(-10). Let a = k + 74. Calculate the remainder when a is divided by 18.
16
Let s = 39 + -31. Let c = 1 + -6. Let a(n) = n**3 + 4*n**2 - 5*n + 3. Calculate the remainder when s is divided by a(c).
2
Suppose -3*p + 18 = -3. What is the remainder when p is divided by 3?
1
Suppose 3*v - 88 = -4*r, -v = 4*r - 3*v - 68. Calculate the remainder when (-35)/(-175) + 4/(20/369) is divided by r.
17
Let j be (-3 - 21/(-6))*0. Suppose j = h - 2 - 2. Suppose -o - 3 = 2*w - h*w, -o = 4*w - 9. What is the remainder when 2 is d