= r + 14. What is the remainder when z(f) is divided by 3?
2
Suppose 0*q + 15 = 5*q. Suppose -q*b + 27 = -2*b. What is the remainder when 106 is divided by b?
25
Suppose 2*a = -3*b + 17, 5*a + 1 = -5*b + 21. What is the remainder when (-29)/(2*(-4)/8) is divided by b + (-2)/4*-2?
9
Suppose -5*g = -368 + 68. Suppose -5*f = -2*o + 15, 5*o - f = g + 35. Calculate the remainder when 38 is divided by o.
18
Let a(p) = 2 + 0 + p**2 + 0*p**3 + p**3 - 2*p. Let v(c) = -c**3 - 4*c**2 - 2*c - 6. Let k be v(-4). Calculate the remainder when 28 is divided by a(k).
8
Suppose 5*s + 6 = 3*s. Let h be 28/s*15/10. Calculate the remainder when (-620)/h - (-4)/(-14) is divided by 15.
14
Suppose -7*t + 28 = -35. Calculate the remainder when 43 is divided by t.
7
Calculate the remainder when -1 - 1/(4/(-64)) is divided by 6.
3
Suppose s - 43 = 4*p, 0*p = 4*s + 2*p - 244. Calculate the remainder when s is divided by 15.
14
Let m(o) be the first derivative of -o**4/4 - o**3/3 + 37*o + 2. Calculate the remainder when m(0) is divided by 20.
17
Let o = 55 + -17. What is the remainder when o is divided by 10?
8
Let p(q) = q**3 + 8*q**2 - 11*q - 10. Suppose -5*d = -10, 0*t + t - 3*d + 15 = 0. What is the remainder when p(t) is divided by 0 + -1 - (3 + -9)?
3
Suppose 0 = -3*t - 31 + 136. Let v = -64 - -76. What is the remainder when t is divided by v?
11
Calculate the remainder when 130 is divided by (-22)/(((-13)/(-78))/((-2)/8)).
31
Let k = -2 + 3. Suppose 0 = -3*t - 3*r, -t - 14 = -4*t + 4*r. Calculate the remainder when t is divided by k.
0
Suppose 330 = 2*v + 3*v. Let t = 127 - v. What is the remainder when t is divided by 16?
13
Suppose 0 = 4*c - 2*y + 62, 3*y + 0*y + 33 = -3*c. Let w = -13 + 11. Calculate the remainder when 21 is divided by w/7 + (-158)/c.
10
Suppose -m = -5*n - 22, -3 - 17 = -4*m + 3*n. Calculate the remainder when 6 is divided by m.
0
Let y(j) = j**3 - 8*j**2 - 7*j + 4. Suppose 5*q - 5*h + 134 - 584 = 0, 0 = -q + 4*h + 102. What is the remainder when q is divided by y(9)?
20
Let j = 0 + 0. Suppose -2*l - 1 - 1 = j. What is the remainder when 10/l*(-20)/8 is divided by 9?
7
Suppose -r - 20 = -32. What is the remainder when 95 is divided by r?
11
Let i = 16 - 9. Let n = 46 + i. Calculate the remainder when n is divided by (-2 + 0)*1*-7.
11
Let p = -25 - -22. Calculate the remainder when 19 is divided by 1*(-5)/(p/3).
4
Let k = 89 + -29. What is the remainder when k is divided by 9?
6
Suppose b + 5*n + 611 = 5*b, -5*n = -5. Suppose 4*f + 2*h - b = -0*h, -4*h = -5*f + 225. What is the remainder when f is divided by 11?
8
Let n = 51 - 46. What is the remainder when 24 is divided by n?
4
Let o(f) = f + 22. Let a be o(0). Suppose -2*l + 12 = -a. Calculate the remainder when 31 is divided by l.
14
Suppose 2*s - 6 = c, 5*c - 3*s = -s - 70. What is the remainder when 31 is divided by 11 + 0 + c/4?
3
Suppose 0 = -2*h + 10 + 8. Let g be (-26)/(-65) + (-16)/(-10). Suppose g*o - h - 9 = 0. Calculate the remainder when o is divided by 5.
4
Suppose -3*u + 5*c = -u - 72, 0 = 2*u - 2*c - 60. Let v = 32 + -18. What is the remainder when u is divided by v?
12
Suppose -4*q + 0*n - 4*n + 376 = 0, q - 5*n = 118. Calculate the remainder when q is divided by 26.
20
Let b be (7 + -1)/2 - -2. Suppose -i + b*t = 15, i + 5*t - 15 = -2*i. Let c = i - -37. What is the remainder when c is divided by 13?
11
Let p(l) = 2*l - 5. Calculate the remainder when p(14) is divided by 12.
11
Let f be 224/(-12)*(2 - -1). Let l = -40 - f. Suppose n + 1 - 2 = 4*a, 0 = -a - 3*n + l. Calculate the remainder when 1 is divided by a.
0
Let g(v) = -v**3 + 6*v**2 + 4*v - 6. What is the remainder when 71 is divided by g(6)?
17
Let a be 46/(-6) - (-7)/(-21). What is the remainder when 84 is divided by (a - -37)*(-2)/(-2)?
26
Let i(m) = m**2 - 2*m - 7. Let o be 4/((-7)/(63/6)). What is the remainder when i(o) is divided by 22?
19
Let h(u) = -u**3 + 6*u**2 - 4*u. Let z be h(5). Let i = z + 17. Calculate the remainder when i is divided by 8.
6
Suppose -3*n + 157 = 5*h, h + 2*n - 25 = 3*n. What is the remainder when 143 is divided by h?
27
Suppose 0*x - 2*z - 191 = -3*x, -2 = 2*z. Let n = x - -14. Suppose 2*b = 3*o + 35, 5*b + 2*o = 20 + n. Calculate the remainder when b is divided by 10.
9
Let j(z) = -6*z - 5. Let b be j(-2). Calculate the remainder when 45 is divided by ((-1)/2)/(b/(-168)).
9
What is the remainder when 21 is divided by 13 + (-4)/(2 - -2)?
9
Suppose -2*o + 3*o - 7 = 0. Calculate the remainder when 11 is divided by o.
4
Let p(b) = 3*b**2 - 5. Let r(y) = 10*y**2 - 14. Let s(g) = 7*p(g) - 2*r(g). What is the remainder when s(-8) is divided by 20?
17
Let p(f) = 5*f - 39. Let i(n) = 2*n - 13. Let a(o) = -8*i(o) + 3*p(o). Calculate the remainder when 7 is divided by a(-16).
1
Suppose -66 = -3*l + l. Calculate the remainder when l is divided by 4/(-14) - 430/(-35).
9
Let p = -22 - -23. Suppose -3*k + p = -20. Let f = 72 + -47. Calculate the remainder when f is divided by k.
4
Suppose 0 = -5*v + 4*r - 165, -2*v + 5*r - 61 = -12. Let t(i) = i**2 - 7*i. Let h be t(3). Let a = h - v. Calculate the remainder when a is divided by 9.
7
Calculate the remainder when 32 is divided by ((-3)/(-6))/(3/312*4).
6
Let p = 0 + 2. Suppose -3*k = p*k + 5*h + 10, 2*k - 5*h = 3. What is the remainder when -21*(2 - k)/(-3) is divided by 11?
10
Suppose -2*f + 14 = -5*j, -5*f - j - 14 = 5. Let c(o) = -2*o**3 - 5*o**2 - o + 4. Calculate the remainder when 28 is divided by c(f).
12
Let n(l) = 4*l**3 - 2*l**2 - 1. Suppose 0 = 3*b - b - 12. Calculate the remainder when n(2) is divided by b.
5
Let y be -1*(1 - 0)*-3. Suppose y*d + 4*o - 34 - 8 = 0, -2*d = -o - 28. Suppose -3*i = 15, -3*i = -4*g - i + 26. Calculate the remainder when d is divided by g.
2
Let f = -7 + 12. Suppose 2*w + 0*w + 2*c + 56 = 0, f*c = -2*w - 56. Calculate the remainder when 19 is divided by (w/(-6))/(2/3).
5
Let g(u) = 3*u**3 - 2*u**2 + u - 1. Calculate the remainder when g(2) is divided by 10.
7
Suppose 0 = -4*i - 2*u + 134, 13*i - 150 = 8*i + u. Suppose 2*b = 3*b - 17. Calculate the remainder when i is divided by b.
14
Let r = 4 + 5. Suppose -2*o = -4*q - 10, 9 = -0*o + 4*o + 3*q. Suppose u = 6*u - o*f - 100, -5*u = f - 80. Calculate the remainder when u is divided by r.
8
Let d = 265 - 183. Suppose 2*i = 3*u + 44, 0 = 2*u - 6*u + 16. What is the remainder when d is divided by i?
26
Suppose -3*y + 366 = -0*y + 3*f, -y + 5*f + 122 = 0. What is the remainder when y/8 - 7/28 is divided by 4?
3
Calculate the remainder when (12/16)/(2/80) is divided by 11.
8
Let k = -72 + 123. Let y = k + -35. What is the remainder when y is divided by 9 - (0 + (-1 - -1))?
7
Let w be 24/((-3)/(6 - 3)). Let d = -3 - w. Calculate the remainder when 41 is divided by d.
20
Let m = -19 + 48. Suppose -4*f + 7 = -m. Calculate the remainder when 25 is divided by f.
7
Suppose -3*v - 5*r = 16, v + 3*r = 3*v - 21. Let n = v - -28. What is the remainder when n is divided by 16?
15
Let z(k) = k**2 - 7*k - 11. Let q be z(8). Let p be 6*q/((-18)/(-4)). Let l(a) = -a**3 - 4*a**2 - 3*a + 2. What is the remainder when l(p) is divided by 8?
6
Let k(s) = -s. Let z(p) = 8*p + 1. Let j(n) = 4*k(n) + z(n). What is the remainder when j(10) is divided by 11?
8
Suppose -6 = -5*p + 24. Suppose -10 = -7*t + 11. What is the remainder when p is divided by t?
0
Let u(q) be the third derivative of q**6/40 - q**5/60 - q**4/24 - q**2. Let z be u(-1). Calculate the remainder when ((-6)/5)/(z/15) is divided by 4.
2
Let o(j) = 10*j**2 - 4*j - 1. Calculate the remainder when o(3) is divided by 16.
13
Let r(v) = -22*v - 3. Let y be ((-12)/(-4))/(6/8). Suppose -y*k + 6*s - 3*s + 56 = 0, -5*k + 43 = 3*s. Calculate the remainder when r(-2) is divided by k.
8
Let i(m) = -m**3 - 17*m**2 - 2*m - 24. Calculate the remainder when 37 is divided by i(-17).
7
Let s be 9*((-11)/(-3) + -2). Suppose -2*v - s = -87. Let m = v - 22. Calculate the remainder when 40 is divided by m.
12
Let v(y) = y**3 + 10*y**2 - 11*y + 1. Let p be v(-11). Let j(s) = 21*s. What is the remainder when j(p) is divided by 12?
9
Suppose -5*y + 132 = -3*n, -n = 5*y + n - 112. What is the remainder when (y - 1) + (-1 - -3) is divided by 9?
7
Suppose 11*v - 338 - 421 = 0. What is the remainder when v is divided by 20?
9
Let y(a) = -a**3 + 2*a**