8. Let q be z(c). Suppose -i + 8 = q*i. Calculate the remainder when 2 is divided by i.
0
Let x = -20 - -23. What is the remainder when x is divided by 2?
1
Let q = -60 - -113. What is the remainder when q is divided by 19?
15
Suppose 0 = 72*w - 76*w + 560. Calculate the remainder when w is divided by 36.
32
Let a(w) = w**3 + 10*w**2 + 9*w - 1. Let x be a(-7). Suppose -x = -4*r - 11. Calculate the remainder when 34 is divided by r.
16
Let f(i) = 3*i - 5. Calculate the remainder when f(10) is divided by 14.
11
Suppose -3*g - 35 = -98. Let z = 0 + g. Calculate the remainder when z is divided by 8.
5
Let t be (28/6)/((-3)/(-18)). Calculate the remainder when -112*(t/(-8) - -3) is divided by 19.
18
Let p(f) = 0*f + 2*f + 3 + f - 4*f. Suppose 4*i = 2*t - 5 - 3, -5*i + 15 = 0. What is the remainder when t is divided by p(-3)?
4
Calculate the remainder when 96 is divided by (1 - -24)/(18 + -17).
21
Suppose -n - n + 6 = 0. Let w(g) = 4*g + 2. Suppose -5*v = -225 + 20. What is the remainder when v is divided by w(n)?
13
Let v = 4 - 1. Let w(s) = -s**2 + s**3 - 3*s + 0*s**3 + s - 1 - 2*s**2. Calculate the remainder when w(4) is divided by v.
1
Let j(a) = 3*a**2 + 7*a + 8. What is the remainder when 81 is divided by j(-4)?
25
Let d = 5 + -33. Suppose 5*n + 72 = -3*i, 5*i + 8 + 93 = -2*n. Let j = i - d. Calculate the remainder when 16 is divided by j.
7
Suppose 5*u = 4*d + 22, 0*u + 8 = -2*u - 4*d. Let o be (6 + -4)/(u/3). Suppose 0 = o*z + 9, -z + 8 = -2*n - 5*z. What is the remainder when 2 is divided by n?
0
Let h = -178 - -181. Calculate the remainder when 12 + 0 - (-1)/1 is divided by h.
1
Let k = -3 - -5. Let r(j) = 2*j**3 - j**2 - 3*j + 2. Let x(c) = -c**3 + 4*c**2 + c + 1. Calculate the remainder when r(k) is divided by x(4).
3
Let k be (-4)/(-16) + 2/(-8). Suppose -34 = -5*w + 4*m, w + 2*w - m - 19 = k. Let t(z) = 2*z + 4. Calculate the remainder when 61 is divided by t(w).
13
What is the remainder when 11 is divided by -2 + -2 + 0 + 10?
5
Let j = -4 - -6. Suppose -q + 129 = j*q. Calculate the remainder when q is divided by 15.
13
Suppose 25 = 5*t - 5*u, -t - 2*t + 2*u + 13 = 0. Let j(l) = 6*l - 2. What is the remainder when j(t) is divided by 128/20 + 2/(-5)?
4
Let k(m) = 13*m**3 + m. Suppose 3*f - 7*f - 4*q = -12, 3 = -f - 4*q. Suppose 2 = -3*b + f. What is the remainder when 26 is divided by k(b)?
12
Let n(h) = h**3 - h + 2. What is the remainder when 14 is divided by n(2)?
6
Suppose -p = -4*k + 37, -4*p - 10 = -2*p. What is the remainder when 31 is divided by k?
7
Let p = 383 + -239. Suppose -3*u = -4*z - p, -2*u + 1 = -4*z - 91. What is the remainder when u is divided by 14?
10
Suppose -3*k - k = 0. Calculate the remainder when 35 is divided by (-27 - k)*(-6)/18.
8
Let h = -1 - -3. Suppose 5*a - 27 - 43 = 0. Calculate the remainder when -30*h/6*-4 is divided by a.
12
Suppose g = -2*g + 66. Let x(i) = -i**3 + 3*i**2 + 3*i - 3. Calculate the remainder when g is divided by x(3).
4
Let x = 7 - 11. What is the remainder when 40 is divided by ((-21)/x)/((-2)/(-8))?
19
Let r(y) = 7*y + 1. Let q(v) = -v**2 - 6. Let o be q(0). Calculate the remainder when r(6) is divided by (o/4)/(2/(-20)).
13
Let a = -8 - -37. What is the remainder when 112 is divided by a?
25
Suppose 0 = -4*d + 106 - 6. What is the remainder when 74 is divided by d?
24
Let t be 1/4 + 88/32. Suppose 96 = 4*v + 2*r + 24, 54 = t*v - 5*r. Calculate the remainder when v is divided by 10.
8
Let i = 18 + 12. What is the remainder when 118 is divided by i?
28
Let d(j) = 13*j**2 + 1. Let v(h) = h**2 - 4*h + 8. Calculate the remainder when v(8) is divided by d(-1).
12
Let q(g) be the first derivative of 5*g**2/2 - 3*g - 3. Let c = 10 - 7. What is the remainder when 23 is divided by q(c)?
11
Let u(q) = 2*q - 2. Let w be u(2). Let f = 14 - w. Calculate the remainder when 23 is divided by f.
11
Suppose 0 = 4*x - 7*x - 54. Let m = 26 + x. Calculate the remainder when m is divided by 3.
2
Let k(u) = -u - 8. Let l be k(-12). Suppose -3*y - l*m + 219 = 0, -y - 3*m = -5*y + 317. What is the remainder when y is divided by 20?
17
Suppose 23 = 4*i - 45. What is the remainder when i is divided by 3?
2
Let b(q) = 122*q**2 + 6*q - 6. What is the remainder when b(1) is divided by 41?
40
Suppose -3*d = 2*h - 80, -2*d - 4*h + 48 = -0*h. Let j(s) = -s**2 + s + 10. What is the remainder when d is divided by j(0)?
8
Suppose 0 = 2*t - 12*t + 210. What is the remainder when t is divided by 11?
10
Suppose -19 = x - 5*d - 7, -9 = -2*x - d. What is the remainder when x is divided by 2?
1
Let d(m) = 4*m - 21. Calculate the remainder when 137 is divided by d(11).
22
Suppose 8 = 4*r - 2*l, -2*l - 2 = -r + 3*l. Suppose 2*v = -2*f + 86, -7*f - r*v = -3*f - 162. Let d = 47 + -27. Calculate the remainder when f is divided by d.
18
Let g(r) = -r**2 - 8*r - 8. Let x(b) = -b. Let u be x(7). Let s be g(u). What is the remainder when 2*(-2)/(s*2) is divided by 2?
0
Let l(d) = -19*d - 1. Let w be l(1). Let o = 21 - 10. Calculate the remainder when (0 - w)*(3 - 2) is divided by o.
9
Let r = 5 + -6. Let m be (-3 - -2)*2/r. Suppose 5*a = -m*x + 3*x + 8, 0 = 2*a - 4. What is the remainder when 4 is divided by x?
0
Let b(u) = u + 6. Calculate the remainder when 26 is divided by b(3).
8
Let k = 15 + -11. Suppose 7*m - 3*m - b = 13, -4*b = -5*m + 30. Calculate the remainder when k is divided by m.
0
Let q be (8/5)/(6/15). Suppose 0 = -q*c - 12, 2*c = 4*h - 3*h - 8. Calculate the remainder when 7 is divided by h.
1
Let q = 149 - 116. What is the remainder when 261 is divided by q?
30
Let x = 10 + -1. Let z(w) = w - 12. Let v be z(12). Suppose v*f = -3*f + 15. What is the remainder when x is divided by f?
4
Suppose 0 = 3*n + 8 - 11. Let a(s) = 11*s + 1. What is the remainder when 33 is divided by a(n)?
9
Suppose 17*s - 180 = 13*s. Calculate the remainder when s is divided by 15.
0
Suppose -3*s - 205 = -8*s. Suppose -i = -24 + 10. What is the remainder when s is divided by i?
13
Let f = -64 - -143. Calculate the remainder when f is divided by 20.
19
Let p = -22 - -15. What is the remainder when (-6 - 2)*(-5 + 1) is divided by 2/p + 363/21?
15
Let g = 18 - 13. Let o(y) = y**3 - 13*y**2 + y + 1. Calculate the remainder when o(13) is divided by g.
4
Let o = -8 + 13. Let g(w) = -2*w - 4. Calculate the remainder when o is divided by g(-3).
1
Suppose -2*u + 79 = 21. What is the remainder when u is divided by 5?
4
Suppose 0 = 5*a - 5, 5*l = 2*a + 326 + 42. What is the remainder when l is divided by 15?
14
Suppose 11*w - 245 = 6*w. What is the remainder when w is divided by 10?
9
Suppose -12*r - 72 = -18*r. Suppose -225 = -0*y - 5*y. What is the remainder when y is divided by r?
9
Let x = -51 + 35. Let k = x + 29. What is the remainder when k is divided by 5?
3
Let n(r) = r**3 + 3*r**2 - 10*r + 6. Calculate the remainder when 17 is divided by n(-5).
5
Let k(w) = w**3 - w**2 - w + 2. Calculate the remainder when k(2) is divided by -2 - (-1 + -2 - 1).
0
Suppose 4*x = 4*s + 2*x + 16, -4*s = -x + 20. Suppose 0 = -d - 7 + 18. What is the remainder when d is divided by (-16)/(-6)*s/(-4)?
3
Suppose 5*t - 275 = -45. What is the remainder when t is divided by 27?
19
Suppose -3*d + 43 = y + 7, 3*y - 36 = -3*d. What is the remainder when 33 is divided by d?
9
What is the remainder when 28/6*(1 - -2) is divided by 5?
4
Let i = -3 + 3. Suppose o - 24 - 50 = i. Calculate the remainder when o is divided by 19.
17
Let f(n) = -3*n**3 - n**2 + n - 2. Let a = -14 - -12. Suppose 3*p + 2*p - 30 = 0. What is the remainder when f(a) is divided by p?
4
Let k(b) = 2*b**2 - 1. Let l = 30 - 19. What is the remainder when l is divided by k(-2)?
4
Suppose 31 = 5*o - 289. Calculate the remainder when o is divided by 33.
31
Suppose 0 = -r + 5*l - 19, -6*l + 3 = -r - 5*l. Suppose -3*v + 2*a = 3, 3*v - 8 = -2*v - a. Calculate the remainder when r is divided by v.
0
Let d = 234 + -161. Let v = -39 + d. Let b(u) = -u**3 - 11*u**2 - u + 1. What is the remainder when v is divided by b(-11)?
10
Suppose 4*o - 339 = -75. What is the remainder when o is divided by 17?
15
Suppose -2*v - 372 = -6*v. Let u = v - 55. What is the remainder when u is divided by 13?
12
Suppose -20 = -w - 4. What is the remainder when 62 is divided by w?
14
Suppose 14 = 2*m - 4. Let f(a) = -m + 2*a + 3 + 0