et r(s) = -s**3 + 4*s**2 + 8*s - 4. Calculate the remainder when 20 is divided by r(5).
9
Let x(p) = p**2 + 4*p - 46. What is the remainder when x(10) is divided by 24?
22
Let q(h) = 14*h - 3. Let m be q(2). Suppose -5*c = 2*v + 5 - 78, m = 2*c + 5*v. Calculate the remainder when 43 is divided by c.
13
Let c be ((-3)/9)/((-2)/24). Suppose -c*p + 5*v - 3*v = -94, 5*p + v - 135 = 0. Calculate the remainder when 102 is divided by p.
24
Suppose -4*g - 10 + 2 = 0, 2*w - 2*g = 0. Let r = 6 + w. Calculate the remainder when 17 is divided by r.
1
Let a(r) = 7*r - 5. Let i be a(-5). Let o = -16 - i. Calculate the remainder when 45 is divided by o.
21
Let f = -12 + 24. Suppose 4*s - 28 = f. Suppose 0 = -4*m + 2*m + 58. What is the remainder when m is divided by s?
9
Suppose -29 = -2*k + 19. Suppose -v + k = v. Suppose -67 = -5*m + 38. What is the remainder when m is divided by v?
9
Let b(z) = 2*z**2 - 2*z. Let c be b(-5). Suppose -4*s + c + 8 = 0. What is the remainder when s is divided by (-8)/28 + 44/7?
5
Suppose 3*f - 35 = 19. Suppose -z - 12 = -5*z, 0 = -2*u - z + 87. Suppose 2*a - 4 = 0, -4*w - 5*a = -u - 108. What is the remainder when w is divided by f?
17
Let f(z) = -z**2 + 23*z - 45. Calculate the remainder when f(16) is divided by 12.
7
Let u = 25 + -41. Let q = u - -42. What is the remainder when 101 is divided by q?
23
Let i(c) = -c + 35. Let d(m) = -m**3 - 3*m**2 - 2*m. Let l be d(-1). What is the remainder when i(l) is divided by 9?
8
Let q(f) = 3 + 3*f - 2*f**2 - 2*f**2 - 4 + f**3. Let t be q(4). Let u = t + 3. What is the remainder when u is divided by 8?
6
Let r(q) = -q - 1. Let w(t) = -3*t + 4. Let l be w(3). Calculate the remainder when 11 is divided by r(l).
3
Suppose 15 - 51 = -4*k. What is the remainder when 15 is divided by k?
6
Let p = 87 + -6. Suppose q - 4*q + p = 0. What is the remainder when q is divided by 10?
7
Suppose -4*q + 46 = z, -3*q - z = 4*z - 43. Calculate the remainder when 20 is divided by q.
9
Let o(x) = -x**3 + 5*x**2 + x - 3. Let f(b) = -b**3 - 5*b**2 - 5*b. Suppose -r = -3*r - 8. Let n be f(r). Calculate the remainder when o(n) is divided by 9.
8
Let g(j) = j + 59. Suppose -x - 1 = -16. Calculate the remainder when g(0) is divided by x.
14
Let a(v) be the first derivative of -17*v**3/3 + v**2 + v - 2. Let d be a(-2). Let u = d - -100. Calculate the remainder when u is divided by 10.
9
Suppose 4*q = 2*q + 88. Suppose r = 4*y - q, -17 - 15 = -3*y + r. Calculate the remainder when 23 is divided by y.
11
Let g = -14 - -15. What is the remainder when 3 + 15 + -2 + g is divided by 6?
5
Suppose 44 = 4*x - 4*c, -c - 2*c + 21 = 3*x. Suppose 0 = 5*l - x - 86. Calculate the remainder when l is divided by 1*-22*(-1)/2.
8
Suppose -b + 492 = 5*d, -2*b + 5*b = -2*d + 189. Calculate the remainder when d is divided by 26.
21
Let r be -3 - (-377)/(2 - 1). Suppose 5*v = -3*n + r, -4*n + n - 356 = -5*v. Calculate the remainder when v is divided by 19.
16
Suppose 0 = 4*z - 5*s - 13, -z = -5*z - 4*s + 40. Suppose -z*t = -6*t - 57. What is the remainder when t is divided by 12?
9
Suppose 2*y + d - 49 = -11, 3*y = 4*d + 57. What is the remainder when 74 is divided by y?
17
Suppose 0 = 5*m + r - 34, 0*r = -4*r - 4. Calculate the remainder when (-74)/(-2) - (m + -4) is divided by 18.
16
Suppose -4*z + 0*z = -88. Let p(r) = -r + 12. Let t(y) = y - 12. Let c(f) = 5*p(f) + 4*t(f). Calculate the remainder when z is divided by c(0).
10
What is the remainder when ((-7)/2)/((-1)/10) is divided by (5 - -1)*(3 + 8 + -8)?
17
Suppose 96 = -0*z + 3*z. Let o = -23 + z. Calculate the remainder when (-2)/(-5) + ((-876)/(-20))/3 is divided by o.
6
Suppose -3*g - 71 + 77 = 0. Calculate the remainder when 9 is divided by g.
1
Suppose 3*z + 104 = 3*p - z, -4*p + 3*z + 134 = 0. What is the remainder when p is divided by 9?
5
Suppose -z - 2*r = 2*r - 15, -5*r = 5*z - 60. Let a(d) = -d**3 + 12*d**2 - 8*d - 15. Calculate the remainder when 52 is divided by a(z).
16
Suppose 3*n = i + 9, -2 = -n - 5*i + 1. Let k(j) = 6*j**3 - 2*j**2 - 2*j**3 - 3*j**3 + 5*j - 4. What is the remainder when k(n) is divided by 11?
9
Suppose 4*v = -2 + 18. Calculate the remainder when 21 is divided by 1/v + (-129)/(-12).
10
Let n = -52 + 17. Calculate the remainder when 23 is divided by (42/n)/((-1)/10).
11
Let i = 11 + 1. Let o = i + -7. Suppose 6*d - o*d = 24. Calculate the remainder when d is divided by 9.
6
Let g(u) = 2*u**2 + u - 1. Calculate the remainder when g(5) is divided by (-6)/8 - 236/(-16).
12
Let b(l) = -7*l - 32. What is the remainder when b(-11) is divided by 16?
13
Let p be (-1)/(-3 - 33/(-12)). Suppose 15 = 3*a, 0 = 4*c - 3*a + p*a - 17. Suppose o = -c, -3*j + 5*j = o + 15. What is the remainder when 9 is divided by j?
3
Suppose -2*f = h + 5, -h = f - 3 + 5. Calculate the remainder when (1/((-1)/2))/(-1) is divided by h.
0
Suppose 2*u = -21 + 77. Calculate the remainder when u is divided by 10.
8
Let d(s) = -20*s - 3. Let b(o) = -1. Let y(h) = -2*b(h) + d(h). What is the remainder when y(-2) is divided by 20?
19
Suppose -2*v + 2*o = -170, -v + 4*o + 255 = 2*v. Calculate the remainder when v is divided by 22.
19
Let m = 5 - -5. What is the remainder when m is divided by 4?
2
Suppose -4 = 3*y - 58. Calculate the remainder when 33 is divided by y.
15
Let y be (-36)/(-1 - 0) + -1. Suppose c - 2*w + w - 9 = 0, 0 = 5*c + 5*w - 45. What is the remainder when c is divided by 4/(-14) - (-115)/y?
0
Let p(x) = x**3 + 12*x**2 - x - 13. Let g be p(-12). What is the remainder when (35/14)/(g/(-8)) is divided by 8?
4
Let h(u) = -24*u - 4. What is the remainder when h(-3) is divided by 24?
20
Suppose 3*k + 5*s = 69 + 128, 2*s = 4*k - 228. What is the remainder when k is divided by 20?
19
Calculate the remainder when (0 + 1)/((-3)/(-93)) is divided by 11.
9
Let c = 7 + 0. Let p = 0 - -2. What is the remainder when c is divided by p?
1
Suppose w = 3*i + 2*w - 71, 2*i - 3*w - 29 = 0. Let c = i - 7. What is the remainder when 28 is divided by c?
13
Suppose m = -3*n - 13, 4*n = m + 2*n - 12. Calculate the remainder when 5 is divided by m.
1
Calculate the remainder when (-14)/(-3)*(-336)/(-32) is divided by 17.
15
Let h = -25 + 7. Calculate the remainder when (h/2)/(3/(-8)) is divided by 13.
11
Suppose 14*h = 12*h + 4. Calculate the remainder when 9 is divided by h.
1
Let r(q) = 2*q**2 - q + 2. Calculate the remainder when 17 is divided by r(1).
2
Suppose -27 = -q + 3*s, -2*q - 2*s + 2 + 36 = 0. What is the remainder when 30 is divided by 245/q + (-2)/3?
8
Suppose -3*u = -8*u - 35. Calculate the remainder when 41 is divided by 2/u - 600/(-42).
13
Let f(p) = -p**3 + 4*p**2 + 5*p - 7. What is the remainder when 118 is divided by f(3)?
16
Suppose -5*i + 43 = 3. Calculate the remainder when 23 is divided by i.
7
Let i = 130 - 70. Calculate the remainder when i is divided by 9.
6
Let m = 10 - 5. Let g(y) = 4*y - 1. What is the remainder when g(m) is divided by 7?
5
Let i(g) = -g + 23. Calculate the remainder when 85 is divided by i(-6).
27
Let y = -30 - -92. Calculate the remainder when y is divided by 22 - 2*1/2.
20
Let k(t) = -t**2 - 12*t + 5. What is the remainder when 45 is divided by k(-11)?
13
Let c(k) = k**3 + 11*k**2 + 6*k - 5. Calculate the remainder when c(-9) is divided by 21.
19
Let c(g) = -g**2 - 31*g - 48. What is the remainder when c(-22) is divided by 38?
36
Suppose -5*b + 3*s = -29, 2*s + 2 = -b - 0. Let p(g) = 2*g + g**2 + 3*g - 3*g**3 + 19 + b*g**3 - 6*g. What is the remainder when 37 is divided by p(0)?
18
Suppose 0*g - 4*g = 4. Let f = g + 3. Let k = 33 - f. What is the remainder when k is divided by 16?
15
Suppose u - 4*s = -s + 24, -15 = 5*s. Calculate the remainder when u is divided by 6.
3
Let f be ((-8)/(-20))/(2/(-10)). Let l = 2 - f. What is the remainder when 13 is divided by l?
1
Let t be 0/(-1 + 2 - -1). Suppose -4*v + 32 = -t. Calculate the remainder when v is divided by 5.
3
What is the remainder when 2/(-13) + 4180/130 is divided by 5?
2
Let f(n) = 9*n**2 - n + 1. Let u = -2 + 6. Let l = 8 + u. What is the remainder when f(2) is divided by l?
11
Let z(i) = -i + 20. Calculate the remainder when 38 is divided by z(0).
18
Suppose -3*z + 3*n = -5 - 4, 25 = 5*z + 5*n. What is the remainder when 9 is divided by z?
1
Let n(r) = 7*r - 14. Calculate the remain