8. Let o be m(z). Suppose -v = -21 + o. Calculate the remainder when 27 is divided by v.
12
Suppose -4*c + 0*c + 8 = 0. Let y = c + -1. Let q(n) = n**3 - 4*n**2 + 4*n + 2. Calculate the remainder when q(2) is divided by y.
0
Suppose 3*f + 2*g - 74 = 0, -3*f - g + 58 = -3*g. Calculate the remainder when f is divided by 6.
4
Suppose i - 5 - 3 = 0. Let g = -60 + 95. Suppose 5*w = 185 - g. Calculate the remainder when w is divided by i.
6
Suppose 4*y - 4 = -2*k, -2*k - y = 4*y - 2. Suppose 5*x - 4 = 1. Let i(a) = 12*a - 1. Calculate the remainder when i(x) is divided by k.
5
Let m be (321/9)/((-3)/9). Let y = -63 - m. Suppose -y = -4*h - 4*n, -4*h + 5*n + 35 = -3*h. What is the remainder when 43 is divided by h?
13
Let y = 26 - -7. Suppose -3*f + y = -2*f. Calculate the remainder when f is divided by 17.
16
Let k(l) = l - 7. Let x be k(7). Suppose 12 = w - x. Suppose 2*a - a - 35 = 0. What is the remainder when a is divided by w?
11
Let i = -34 - -50. What is the remainder when 54 + 1 - 3*(-8 + 6) is divided by i?
13
Suppose 4*j + 29 = 3*x, 7*x - 2*x - 35 = 4*j. Suppose -i - s = -x*i + 6, i - s - 2 = 0. Suppose -5*a = -3 - 42. What is the remainder when a is divided by i?
1
Let j be (-4 + 6)*(1 - -1). Let u(b) = 2*b**2 - 6*b. Calculate the remainder when 23 is divided by u(j).
7
Suppose 0*n - 196 = -4*n. Let h(i) = -i**2 - 10*i + 8. What is the remainder when n is divided by h(-9)?
15
Let d = 3 - -12. Calculate the remainder when -171*(-4 + 99/27) is divided by d.
12
Let l = 27 + -12. Suppose -f + l = 2*f. What is the remainder when 7 is divided by f?
2
Suppose 16 = -i + 2*x + 3*x, 3*i = -5*x + 32. Suppose i = -4*z + 36. What is the remainder when 31 is divided by z?
7
Suppose 5*d - 15 = 2*x - 0*x, 5*x = 0. Calculate the remainder when 6 is divided by d.
0
Suppose -24 = q + 15. Let p = -26 - q. Suppose 51 = u - 5*g + p, g + 3 = 0. What is the remainder when u is divided by 12?
11
Let j(m) = m - 4. Let l be j(4). Let g = l + 3. Suppose 3*n = 3, g*d - 3*n + 43 = 7*d. Calculate the remainder when 18 is divided by d.
8
Suppose 119 = 6*y + y. What is the remainder when 49 is divided by y?
15
Suppose 0 = -5*r + 3*r + t - 39, 5*r - t + 90 = 0. Let v = r + 42. Calculate the remainder when 73 is divided by v.
23
Let r(o) = -o**2 + 8*o - 8. Let z be r(6). Suppose 0 = -0*v - z*v + 24. Calculate the remainder when v is divided by 3.
0
Suppose -p = 2*i + 8, -2*p + 0 = -3*i - 5. Let h(w) be the first derivative of -6*w**2 - 3*w + 1. What is the remainder when 41 is divided by h(p)?
20
Let s(m) = m**3 + m**2 - m + 11. What is the remainder when 242/12 - (-1)/(-6) is divided by s(0)?
9
Let c be ((-6)/5)/(6/(-20)). Let z = 41 - 15. Suppose c*t = a + z, -a = 5*t - 4*a - 36. Calculate the remainder when 17 is divided by t.
5
Suppose 3*y - 149 = 4*k, -6*k + 4*k = 4. Suppose -2*u + 53 = 5*s, -185 = 4*u - 9*u + 5*s. Let b = y - u. Calculate the remainder when b is divided by 7.
6
Let d(a) = 19*a**2 - 2*a. Let y = 0 - 2. Let x be d(y). Suppose 3*u + x = 8*u. What is the remainder when 31 is divided by u?
15
Let y(r) = -r**2 + 12*r + 13. What is the remainder when y(10) is divided by 5?
3
Let n be (-8)/2 - (-7 - 2). Suppose -3*q = h - 74, 53 = h + n*q - 31. What is the remainder when h is divided by 30?
29
Let g = 238 - 121. What is the remainder when g is divided by 17?
15
Let o = 8 - -7. Calculate the remainder when o is divided by 4.
3
Let b = 60 - 47. Calculate the remainder when 32 is divided by b.
6
Let u be (6/(-12))/(2/(-20)). Suppose 12 = u*y + 2. Suppose -y*j = -26 + 8. Calculate the remainder when 35 is divided by j.
8
Let u(s) = -s**3 + 12*s**2 - 13*s + 8. Calculate the remainder when u(10) is divided by 20.
18
Suppose 3*b = 3*c + 6 - 33, 0 = 3*c - 4*b - 26. Suppose 3*o + 2*o - c = 0. What is the remainder when 3 is divided by o?
1
Suppose -3*i + 2*x + 331 = 0, x = 2*i - 0*i - 219. Calculate the remainder when i is divided by 27.
26
Let d = -1 - -13. Let o be (8 + 58)*1/(-1). Calculate the remainder when (o/(-8))/(15/40) is divided by d.
10
Suppose -o + 4*o = 18. Let x = o - -41. What is the remainder when x is divided by 16?
15
Let y(j) = -j + 3. Let x be y(3). Suppose x = l - 1 + 4. What is the remainder when 15 is divided by (-1 + (-5)/l)*12?
7
Suppose 3*z + 12 = 4*m - 5*m, -20 = -5*m + z. Let k = m - 3. Suppose k = -2*s + 6 + 74. Calculate the remainder when s is divided by 14.
12
Suppose -o + 4 = -10. What is the remainder when o is divided by 3?
2
Suppose -40 = -2*b + 4*q, 3*b - 2*q = -7*q + 27. Suppose 45 - 5 = 5*o. Calculate the remainder when b is divided by o.
6
Let v be ((-2)/(-6))/(9/108). Suppose 3*s + r = 2*s + 32, 3*s - 99 = -v*r. What is the remainder when s is divided by 15?
14
Calculate the remainder when (-4)/((40/44)/(-5)) is divided by 6.
4
Calculate the remainder when 68 is divided by -1*2*(0 + -9).
14
Suppose -3*b + 88 = 4*i, 6*b - 4*i - 164 = 2*b. Calculate the remainder when 141 is divided by b.
33
Suppose 44 = -2*r + 6*r. Let b(d) = 2*d. Let y be b(2). Suppose 0 = -2*n + y*v + 46, -2*n + 43 = -v - 0*v. Calculate the remainder when n is divided by r.
10
Let p(g) = g**2 - 3*g + 2. Let k = 7 + -17. Let s(q) = -q**2 - 11*q - 9. What is the remainder when p(3) is divided by s(k)?
0
Suppose 4*x - 10 = -x. Suppose s + x = 2*s. What is the remainder when s is divided by 2?
0
Let z be 1/(-3) + 92/6. Let u = 31 - z. Suppose 4*d + 4 = 4*x, 2 = 4*x - 7*x + 4*d. What is the remainder when u is divided by x?
4
Suppose -a + 1 = -8. Let f = 5 - 0. Suppose -9 = -f*g + 16. Calculate the remainder when a is divided by g.
4
Let m = 4 - 23. Let r = 37 + m. Suppose -b + 69 = -0*b. Calculate the remainder when b is divided by r.
15
Let b(u) = 3*u + 16. Calculate the remainder when b(10) is divided by 12.
10
Let j = 9 + 16. Let k = 41 - j. What is the remainder when 79 is divided by k?
15
Suppose 0 = -0*i + 11*i - 1353. Calculate the remainder when i is divided by 31.
30
Let c(h) = 5*h + 4 - 4*h + 2*h - 2*h. Calculate the remainder when 38 is divided by c(9).
12
Suppose 29*l - 27*l = 30. What is the remainder when l is divided by 3?
0
Suppose 3*j - 80 = -14. What is the remainder when j is divided by 8?
6
Suppose -64 = -12*n + 8*n. What is the remainder when 29 is divided by n?
13
Let u = -12 - -20. Let n = 4 + u. Calculate the remainder when 35 is divided by n.
11
Let t(f) = -2*f - 2. Let j = 18 + -8. What is the remainder when (j + 0)*2/4 is divided by t(-2)?
1
Let y be (-1 + 0)*(-2 + 4). Let x be (y - 5)*-1*3. Let z = x - 12. What is the remainder when 25 is divided by z?
7
Suppose 3*g - z - 4 = 14, 2*z = 0. Let s(t) be the first derivative of -11*t**2/2 - t - 1. Calculate the remainder when s(-1) is divided by g.
4
What is the remainder when 51 - 10 - (0 + -2) is divided by 12?
7
Suppose -h + 0*h + 4 = 0. Suppose -5 = -r + h*n, 3*r - 4*n = 2 + 37. What is the remainder when r is divided by 9?
8
Let c = 96 + -63. Let w = c + -19. Calculate the remainder when 53 is divided by w.
11
Let l be 2/(2/1)*2. Suppose -l*h = 4*a + 16, 3*a + 12 = 2*h - 0. Let f = a - -12. What is the remainder when 21 is divided by f?
5
Let s(p) = 2 + 34*p**2 - 3 + 2. Suppose -v = -2 + 1. What is the remainder when s(v) is divided by 18?
17
Let x(u) = 14*u**3 - 2*u**2 + 2*u - 1. Let r = -1 + 2. Calculate the remainder when 23 is divided by x(r).
10
Let w = 296 + -147. Calculate the remainder when w is divided by 30.
29
Let b(a) = 3*a - 3. Let m be b(2). Suppose -u + m = -3. Calculate the remainder when 0 + 32 - (4 - u) is divided by 12.
10
Suppose 56 - 12 = 2*w. Let i = 42 - w. Calculate the remainder when i is divided by 7.
6
Let o = -3 + 13. What is the remainder when 37 is divided by o?
7
Let t(r) = -6*r**3 - 2. Let g be t(2). Let x be ((-252)/15)/((-3)/(-15)). Let a = g - x. Calculate the remainder when a is divided by 18.
16
Suppose w - 4 = 2*d, -1 = -7*d + 2*d - 3*w. Let l = d + 11. Suppose q - 54 = -3*b - q, 0 = -5*b + 3*q + 90. What is the remainder when b is divided by l?
8
Let y(m) = m**3 + 3*m**2 + 2*m + 6. Let t be y(-3). Let a be (4/(-5))/(3/(-15)). Suppose t*b = b - a. What is the remainder when 7 is divided by b?
3
Suppose 36 = 3*c - 2*k, 4*c - k + 14 = 57. Let j(t) = -t + 18. Calculate the remainder when 14 is divided by j(c).
6
Let j(q) = 2*q**3 + 4 + 3*q - 7*