 the remainder when y(w) is divided by 7.
6
Suppose 34 = 3*d - 4*i, 0*i + 20 = -5*i. Let q be (6/2)/(-1) + 1. Let s(w) = 5*w**2 + w - 2. What is the remainder when s(q) is divided by d?
4
Let r(x) = -12*x - 1. Calculate the remainder when r(-4) is divided by 25.
22
Let l(b) = 1 - 3 + b - 3*b + 17*b**3 + 3. What is the remainder when l(1) is divided by 9?
7
Suppose 3*n + 2 = 5*a - 3, -n = 0. Suppose 4*o + 3*m = 103, -m = 5*o - 3*m - 123. What is the remainder when (-5)/o - (-6)/5 is divided by a?
0
Let g(d) = d**2 + 9*d - 10. Calculate the remainder when g(-13) is divided by 9.
6
Let u = -5 - -1. Let m = u - -56. Let i(w) = -17*w**3 - w. Calculate the remainder when m is divided by i(-1).
16
Let d be 21 + (0 - 1)*-2. Let w = 47 - d. What is the remainder when w is divided by (13/2)/(7/14)?
11
Suppose -2*x - 1 = -9. Suppose 0 = q - x*q. Calculate the remainder when 14 is divided by (q/(-2) - -2) + 6.
6
Suppose 5*d - 27 = -z + 46, 3*d - z - 47 = 0. Calculate the remainder when 27 is divided by d.
12
Suppose -2*w - 10 + 44 = 0. Let x = w - 9. Calculate the remainder when x is divided by (2/3)/((-2)/(-15)).
3
Suppose 0*t = 4*t - 12. Suppose 4*c + 3*o - 34 = 0, -c + 4*c - t*o - 15 = 0. Suppose -c*p + 36 = -5*p. What is the remainder when 34 is divided by p?
16
Let i(z) = -15 + 27 - 2*z + z - 13. What is the remainder when 18 is divided by i(-6)?
3
Suppose t - 10 - 28 = 0. Let x = 28 + -18. Calculate the remainder when t is divided by x.
8
Let k(p) = p**3 - 4*p**2 - p - 10. Calculate the remainder when 11 is divided by k(5).
1
Let d = -53 - -85. Calculate the remainder when d is divided by 11.
10
Suppose -5*j - 220 = -5*h, 5*h - 7*j = -3*j + 216. What is the remainder when h is divided by 14*1 + 0/3?
12
Let l be 4/(-14) - (-4)/14. Let q be -16*(-3 + (-1 - l)). Suppose 0 = 4*h + 20 - q. What is the remainder when 32 is divided by h?
10
Suppose -33 = -5*k - 8. Calculate the remainder when 24/(-3) - -4 - -12 is divided by k.
3
Suppose -k = -2*j + 14, -k - 1 = -5. Suppose -2*r + 50 = -0*r - 4*b, -5*r = 4*b - 55. What is the remainder when r is divided by j?
6
Calculate the remainder when 43 is divided by ((-5)/3)/((-6)/54).
13
Let s(r) = r**2 + 12*r - 14. What is the remainder when s(-15) is divided by 11?
9
Let o = -10 + 7. What is the remainder when 39 is divided by (-1)/1*(-17 - o)?
11
Let q = 11 + -7. Suppose q*c = 2*a - 0*a + 38, a = 5. Suppose -12 = -2*d + c. What is the remainder when d is divided by 7?
5
Let b = -32 - -54. Suppose 5*n + 73 = 6*n + 2*i, 3*i = 15. Calculate the remainder when n is divided by b.
19
Suppose -6*z = -z - 70. Suppose -2*p = -3*p + z. What is the remainder when 25 is divided by p?
11
Let l(h) = h**3 + h**2 - 7*h + 13. Calculate the remainder when l(6) is divided by 45.
43
Let n(w) = -5*w - 7. Suppose 5*r + 55 = -o + 10, 4*o + 9 = -r. Calculate the remainder when n(r) is divided by (1 - -5) + 1 + 3.
8
Suppose 0 = -8*k + 87 + 25. What is the remainder when 81 is divided by k?
11
Let i = -1 + 60. Calculate the remainder when i is divided by 16.
11
Suppose -4*r = -20 - 16. Suppose -17 = -3*d + 2*a, 3*d + a + 3 = -2*a. Calculate the remainder when r is divided by d.
0
Let x = 19 + -11. Suppose -3*k = k - 16. Calculate the remainder when 21 + -2*1 + k is divided by x.
7
Let h(m) = 3*m - 5. Let r(y) = -y**2 + 17*y - 11. What is the remainder when r(15) is divided by h(4)?
5
Let p(x) = -x**3 + x**2 - x - 4. Let s be p(0). What is the remainder when s/(-6) + (-128)/(-6) is divided by 6?
4
Suppose -34 = -4*i + 5*p + 73, -5*i = 3*p - 143. Let o = 46 - i. Let u(r) = r**3 - 4*r**2 - 6*r + 15. What is the remainder when o is divided by u(5)?
8
Suppose 14 = -2*m + 4. Let d(b) = -3*b + b + 1 + 2. What is the remainder when 24 is divided by d(m)?
11
Suppose 2*o + 5*v = 20 - 7, 3*o = -5*v + 17. Suppose -4*h + 3 = -5. Calculate the remainder when ((-8)/(-12))/(h/33) is divided by o.
3
Let s = 18 + -8. Let w(b) = -204*b - 2. Let o be w(2). What is the remainder when 10/(-35) + o/(-14) is divided by s?
9
Suppose 105 = 6*v - v - 4*g, 20 = 4*g. Calculate the remainder when 91 is divided by v.
16
Let s(c) = -c**3 - 9*c**2 + 7*c - 11. Calculate the remainder when 47 is divided by s(-10).
9
Let w = -24 - -48. Suppose 0 = -q - 3*q + w. Let j(r) = -2*r + 4. What is the remainder when j(-3) is divided by q?
4
Suppose -5*r + 190 = -95. Suppose 0 = -5*n + 30 + 45. What is the remainder when r is divided by n?
12
Suppose 4*n = 6*n - 22. Let l = 9 - -8. Suppose 3*c + 2*h - l = 0, -3*c - 5*h = c - n. What is the remainder when c is divided by 5?
4
Suppose 3*h = -9, -h = -5*s - 2*h - 3. Let b = s - -2. What is the remainder when (-181)/(-4) + b/(-8) is divided by 16?
13
Let q be (2/4)/((-3)/72). What is the remainder when 61 is divided by q/30 + (-164)/(-10)?
13
Let i be 9/(2/(12/(-9))). Suppose 0*h + 2*s = -h + 17, 2*h + 2*s - 26 = 0. Calculate the remainder when (-2)/3*153/i is divided by h.
8
Suppose -2*v = 4*s - 26, v - 34 = s - 9. Let j be (-2)/(-4) + v/6. Suppose 0 = j*n + 16, 74 = 2*l - 5*n + 4. What is the remainder when l is divided by 13?
12
Suppose -x + h = 5*h + 41, 3*h - 113 = 5*x. Let q = x - -46. Calculate the remainder when q is divided by 6.
3
Let f be (-12)/(-3) - (-3)/(-3). Suppose -s - 5*z + f*z + 18 = 0, 16 = 4*z. Calculate the remainder when 19 is divided by s.
9
Let z = 200 - 60. What is the remainder when 53 is divided by z/(-8)*4/(-5)?
11
Let k = 17 - 6. Calculate the remainder when k is divided by 7.
4
Let u(w) = w**3 - 6*w**2 - 3*w - 20. What is the remainder when 28 is divided by u(7)?
4
Let w = -33 + 50. What is the remainder when w is divided by 11?
6
Let d(u) = 29*u**2 - 7*u + 6. Let c(l) = 30*l**2 - 6*l + 5. Let z(f) = 5*c(f) - 4*d(f). What is the remainder when z(1) is divided by 17?
16
Let s(g) = -g**3 + 9*g**2 + 11*g - 9. Let f be s(10). Let z be (-24)/9*f*3. Let u = 2 - z. What is the remainder when 18 is divided by u?
8
Let r = 1 + 3. What is the remainder when 5 is divided by r?
1
Let j = -29 + 45. Calculate the remainder when 62 is divided by j.
14
Suppose -a - 63 = 28. Let s = 141 + a. What is the remainder when s is divided by 17?
16
Suppose -4 = -4*y + 4. Suppose 0*i - 2*p + y = -3*i, 2*i = -2*p + 12. Suppose -10 + i = -z. Calculate the remainder when 23 is divided by z.
7
Let m(o) = 2*o + 15. What is the remainder when m(7) is divided by 16?
13
Let h(q) = 12*q**3 + q**2 - q. Suppose 0 = -r + 12 + 11. Calculate the remainder when r is divided by h(1).
11
Let y = -4 + 5. Let o be 4/(-18) + (-20)/(-9). What is the remainder when (o/6)/(1/3) is divided by y?
0
Calculate the remainder when 88 is divided by 11 - (-9)/((-27)/(-6)).
10
Suppose -g = -0*g - 5. What is the remainder when 18 is divided by g?
3
What is the remainder when 35 is divided by (1 - 3)*(-9 - 0)?
17
Let i = -35 - -64. Calculate the remainder when 85 is divided by i.
27
Suppose 0*g = g - 2. Calculate the remainder when 58/10 + 16/(-20) is divided by g.
1
Let x(q) = q**2 - 1. Let m(s) = s**2 - 5*s + 6. Let f be m(4). What is the remainder when 8 is divided by x(f)?
2
Let d(j) = 12*j - 9. Suppose -3*w + 5 = -2*w. Calculate the remainder when d(w) is divided by 13.
12
Calculate the remainder when 4 is divided by (-2)/2 - (-20)/4.
0
Let k(t) = -t**3 - 8*t**2 - t - 6. Let l be k(-8). Let v = l - -2. Calculate the remainder when 11 is divided by v.
3
Suppose -3*f - l = -15, -f + 11 = -2*f + 5*l. Let z = 10 - 7. Suppose 0 = -z*n - n + f. Calculate the remainder when 2 is divided by n.
0
Let r = 87 - 51. Let n = r - 19. Calculate the remainder when 33 is divided by n.
16
Let y(r) = r**2 + 2*r - 10. What is the remainder when y(8) is divided by 18?
16
Suppose 0 = 2*a + 2*z - 20, -2*z + 5 = -a + 24. What is the remainder when 49 is divided by a?
10
Let b(q) = -q**3 + 7*q**2 + q + 5. Let f = -129 + 199. Suppose 5*s = 3*s + f. What is the remainder when s is divided by b(7)?
11
Let k = -10 - -12. Suppose k*h + 20 = 98. Calculate the remainder when h is divided by 20.
19
Let b(x) = -x**2 + 15*x - 23. Calculate the remainder when 20 is divided by b(12).
7
Suppose 0 = -0*h - 2*h + 168. What is the remainder when h is divided by 22?
18
Let b = 60 - 43. Calculate the remainder when 3/(-3) - 1 - -52 is divided by b.
16
Let d(r) = r**2 - r - 1. Calculate the remain