 the remainder when w(-6) is divided by 22?
19
Suppose -5*p - 35 = 5*u, -u = 3*p + 9 + 2. Let n = u + 34. Calculate the remainder when 56 is divided by n.
27
Suppose 0 = -2*s - i - 2, -4*i + 0*i - 8 = -2*s. Suppose -2 = 2*z, 3*u + z + 8 + 14 = s. Let v = 6 - u. What is the remainder when 24 is divided by v?
11
Suppose 18 = -3*v + 4*v. Suppose -178 + 42 = -4*j. Calculate the remainder when j is divided by v.
16
Let k = 47 - 25. Suppose 11 + 1 = a. What is the remainder when k is divided by a?
10
Let t(y) = 3*y. What is the remainder when 26 is divided by t(3)?
8
Let p = 10 + -7. Let a(t) = -p - 2*t + 2*t + 13 + t. Calculate the remainder when 36 is divided by a(9).
17
Let k be (-18)/(-4)*4/6. Let u = k - -1. Suppose 4*h + a = 5*h, u*h - 2*a = 4. What is the remainder when 2 is divided by h?
0
Let t = 22 - 32. Let k = 43 - t. Calculate the remainder when k is divided by 18.
17
Suppose -4*i - 25 = -3*j - 5*i, -4*i + 23 = j. Calculate the remainder when (-1)/(1*(-1)/11) is divided by j.
4
Let j = -3 + 8. What is the remainder when j is divided by 2?
1
Suppose m - 3*m + 2*x + 8 = 0, -2*m = 2*x + 8. What is the remainder when 28 is divided by (-5 - -6) + (14 - m)?
13
Suppose 4*z - 14 = 18. Let y = -6 + z. Suppose -y*w + 8 = -18. What is the remainder when 37 is divided by w?
11
Suppose 3*o = b + b + 37, 0 = 4*b - 16. Suppose 5*u = -o, -3*d - 3*u + u = -45. Let h = -1 + d. What is the remainder when 47 is divided by h?
15
Suppose -2*y + 48 = -0*y. Suppose 0 = k + 3*k - y. Calculate the remainder when 9 is divided by k.
3
Suppose 3*w - 2*w - 4 = 0. Calculate the remainder when (-57)/(-11) - (-14)/(-77) is divided by w.
1
What is the remainder when 66 is divided by (-2 - 0)/(2/(-17))?
15
Suppose 2*y = y + 2. Let z(r) = 8*r - 1. Calculate the remainder when z(4) is divided by -33*2/(-12)*y.
9
Let q = 43 + -31. Let x(f) = -f**2 + 5*f + 1. Let m be x(5). Calculate the remainder when m*(1 + 1) - -33 is divided by q.
11
Let t = -3 + 8. Let m be 6/4*16/12. Let f = 12 + m. Calculate the remainder when f is divided by t.
4
Suppose 6*m - 65 - 61 = 0. What is the remainder when 40 is divided by m?
19
Suppose -u = -2*g - 0 + 1, -24 = -u - 3*g. Suppose -p + 9 = 2*p. What is the remainder when u is divided by p?
0
Let k = 13 + -9. Suppose -54 = -2*f - 2*j, 3*f - f - k*j = 78. Calculate the remainder when 123 is divided by f.
30
Let g(o) = o - 1. Let p = 3 - 1. Suppose 2*z + 0*j = p*j, j - 5 = -4*z. What is the remainder when z is divided by g(2)?
0
Suppose -3 = -5*g + 12. Suppose 8 = g*s + s. Calculate the remainder when (-10)/(-3) - 1/3 is divided by s.
1
Let j(l) = 9*l**2 - l + 1. Let n(k) = k**2 - 6*k + 6. Let y be n(5). What is the remainder when 16 is divided by j(y)?
7
Let g(k) = -k**3 + 8*k**2 - 4*k + 4. Let s(m) = m**3 + 11*m**2 - 18*m - 41. Calculate the remainder when g(5) is divided by s(-12).
28
Let c(r) = r**3 - 6*r**2 - 4*r - 7. Calculate the remainder when 41 is divided by c(7).
13
Suppose 3 = 5*c - 22. Let y = c + 5. Calculate the remainder when 17 is divided by y.
7
Let x = 3 + -4. Suppose r - 5 = -3. Calculate the remainder when (-1 - 12/2)*x is divided by r.
1
Let m = -5 + 8. Calculate the remainder when 4 is divided by m.
1
Let q(l) = -2*l**2 + 7*l + 7. Let n be q(5). Let d be (0 + -1)/(1/14). Let g = n - d. What is the remainder when 10 is divided by g?
4
Let o = 7 - -6. Let t(q) = -3*q + 14. Let x be t(-9). Suppose 3*v - 28 = x. What is the remainder when v is divided by o?
10
Let w = -8 + 8. Suppose 6*y - 4*b - 22 = y, 2*b + 6 = w. Suppose -3*g + y + 4 = 0. What is the remainder when 3 is divided by g?
1
Suppose 0 = -s + 51 + 6. Calculate the remainder when s is divided by 20.
17
Let f be (8/6)/((-2)/(-12)). Suppose -4*o = -8*o + f. Suppose 0 = m - o - 0. What is the remainder when 4 is divided by m?
0
Suppose 90 - 25 = 5*m. What is the remainder when m is divided by 11?
2
Calculate the remainder when ((-9)/(-4))/((-6)/(-168)) is divided by 22.
19
Let u(l) = 2*l**2 + 12*l - 11. What is the remainder when u(-10) is divided by 36?
33
Suppose -5*l + 60 = -3*m, -2*l + m + 33 = -2*m. Let y = l + -6. Suppose -2*g - 3*g + 21 = 4*i, 16 = 3*i + 4*g. Calculate the remainder when i is divided by y.
1
What is the remainder when (-1)/2*(5 - 175) is divided by 29?
27
Let s = -17 + 19. Suppose -l = -6 - s. What is the remainder when l is divided by 6?
2
Let y be 13 - (-1 - (-1 + -1)). Let b = y + 22. Let j = 9 + b. What is the remainder when j is divided by 11?
10
Suppose -u = -24 - 10. Suppose 8*j = 100 - 4. Calculate the remainder when u is divided by j.
10
Suppose -5*g - 3*r + 5 + 84 = 0, r = 3. Let l = g + -1. Suppose y = -5*a + 38, -32 = 3*a - 6*a + 4*y. What is the remainder when l is divided by a?
7
Let n = -71 + 168. Calculate the remainder when n is divided by 33.
31
Let v = -236 + 253. Suppose 4*c - 184 = 3*k, -k - 86 = -3*c + 52. What is the remainder when c is divided by v?
12
Suppose -15 = 2*o + 19. Let k = -9 - o. Calculate the remainder when 21 is divided by k.
5
Let n = 147 + -40. Suppose 4*h = 69 + n. Calculate the remainder when h is divided by 15.
14
Suppose 13*n - 1359 + 462 = 0. Calculate the remainder when n is divided by 18.
15
Let k be (-14)/(-63) + 4268/(-9). Calculate the remainder when 41 is divided by k/(-42) - (-4)/(-14).
8
Suppose 15 = 5*o, 4*o + 50 + 6 = 4*x. Let d = 17 + x. Calculate the remainder when d is divided by 9.
7
Let b(l) = -l**3 - 5*l**2 + 7*l + 1. Let f be b(-6). Let a(t) = t**2 + 5*t + 2. Let j be a(f). Calculate the remainder when (-47)/4*-2*j is divided by 16.
15
Suppose -5 = 2*y - p, 2 = 2*p - 4. Calculate the remainder when 22 is divided by y/(-2) - (-138)/12.
10
Let j(p) = p**3 - 16*p**2 - p + 19. Let o be j(16). Suppose -3*m + 2*a - 6 = -51, 3*m = -o*a + 60. Calculate the remainder when 65 is divided by m.
14
Let g = -2 - 2. Suppose 2*b + 2*b = 36. What is the remainder when (18 - -1) + 2 + g is divided by b?
8
Suppose -92 = -5*b - 62. Let v(k) = -2*k + 5. What is the remainder when v(-5) is divided by b?
3
Let q = 6 - 4. Let b = q + 3. What is the remainder when 8 is divided by b?
3
Let i(d) = -10*d + 3. Let y be i(2). Let r = 3 - y. Calculate the remainder when r is divided by 11.
9
Let m(h) = -h**2 + 4*h + 5. Let j be m(4). Suppose -j*b + 26 + 29 = 0. Calculate the remainder when b is divided by 6.
5
Let b(t) = -19*t**2 + 11*t - 6 + 11*t**2 + 7*t**2. What is the remainder when b(7) is divided by 12?
10
Let a(s) = -s**2 + 14*s + 29. Suppose -2*q + 570 = 3*q. Calculate the remainder when q is divided by a(14).
27
Let l = 7 - -3. Let j(f) = -f**2 + 11*f - 11. What is the remainder when j(5) is divided by l?
9
Suppose 0 = -3*h - 3*o + 135, -3 - 27 = -h + 4*o. Calculate the remainder when h is divided by 11.
9
Let v = -51 + 94. Suppose 4 = 2*m - 18. What is the remainder when v is divided by m?
10
Suppose 10 = 5*m, 3*d + 2*m = 3*m + 34. Suppose d = 4*g + c - 8, -3*g - 3*c = -15. Let t(v) = -2*v - 6. What is the remainder when t(-7) is divided by g?
3
Suppose 11 = 2*t + i - 2*i, -i = 5. Suppose -d = 4*g - 64, -2*d = -t*g + 3*d + 48. Calculate the remainder when 61 is divided by g.
13
Suppose 3 = -4*q + 11. Suppose 0 = 3*h - 2*n - 72, -4*n + 2*n - 50 = -q*h. What is the remainder when h is divided by 12?
10
Suppose -t + 10 + 4 = 0. Let o(h) = 10*h**2 + 1. What is the remainder when o(2) is divided by t?
13
Let f = 15 + -11. Suppose -2*d + u = -20, f*d - d - u - 31 = 0. Calculate the remainder when d is divided by 7.
4
Suppose 7 - 1 = 3*j - 5*q, 2*q = 0. Calculate the remainder when 1 + 5/(5/3) is divided by j.
0
Let n(s) = -s**3 + 3*s**2 - 1. Calculate the remainder when 1 is divided by n(1).
0
Suppose -3*n - 2*n + 2*u = -70, 2*u = -2*n + 28. Calculate the remainder when 91 is divided by n.
7
Suppose -5*j - 5 - 30 = 0. Let k = j + 20. Calculate the remainder when 24 is divided by k.
11
Let s(b) = 2*b + 1. Let j be s(-2). Let k be (0 + 5/3)*j. Let l = 7 + k. Calculate the remainder when l is divided by 1.
0
Suppose 43 + 112 = 5*o. What is the remainder when o is divided by 16?
15
Suppose -2*b + 37 = -t, -3*b - t = -0*b - 48. Suppose 0 = -b*r + 12*r + 60. Calculate the remainder when 45 is divided by r.
9
Suppose -4*c = -16, 0 = 5*v - 0*c - 3*c - 238. What is the remainder when 96 is divided by v?
46
Suppose