is divided by z.
4
Let s(f) be the second derivative of f**5/20 - 2*f**4/3 + 4*f**3/3 + f**2 - 14*f. Let i = 8 - 1. Calculate the remainder when 17 is divided by s(i).
8
Let m = -17 - -27. Calculate the remainder when m is divided by 6.
4
Suppose 3*v - 67 = 5*a, -5*v + 5*a + 129 = a. Suppose 4*b + v = 173. What is the remainder when b is divided by 19?
17
Suppose -3*n = 5*b - 95, -n - 4*n = -2*b - 117. Calculate the remainder when n is divided by 13.
12
Let h(q) = q**2 - 5*q - 4. What is the remainder when h(-5) is divided by 16?
14
What is the remainder when 20 is divided by 42/4 + 6/12?
9
Let d(s) = -10*s**3. What is the remainder when 55 is divided by d(-1)?
5
Let a(o) = 2*o - 1. Calculate the remainder when 31 is divided by a(4).
3
Let j(g) = 3*g - 5. Suppose 2*q = -0*q + 50. Calculate the remainder when q is divided by j(6).
12
Let k = -23 - -32. What is the remainder when k is divided by 2*4 + -7 + 5?
3
Let l = 40 + -14. Calculate the remainder when 76 is divided by l.
24
Calculate the remainder when 9 is divided by (-3)/((5 + -4)/(-1)).
0
Let b = -256 + 360. Suppose 0 = a + 4, -5*t - a = -t - b. Calculate the remainder when t is divided by (-1)/(13/14 + -1).
13
Let t(g) = -2*g - 15. Calculate the remainder when 48 is divided by t(-16).
14
Suppose -u + 1 = -11. Suppose l + 1 = 4. Suppose -l*y + q = -108, -3*y + y + 55 = 5*q. Calculate the remainder when y is divided by u.
11
Suppose -64 = -4*k + 3*j, -4*k + 6*k = 2*j + 32. What is the remainder when 29 is divided by k?
13
Let g = 26 - 13. Calculate the remainder when 64 is divided by g.
12
Let h = 53 + 5. Calculate the remainder when h is divided by (-16)/(-3)*18/8.
10
Suppose 5*q + 2*q - 182 = 0. What is the remainder when q is divided by 9?
8
Suppose 14*d - 210 = -d. What is the remainder when d is divided by 8?
6
Let o = 28 - 8. What is the remainder when 38 is divided by o?
18
Calculate the remainder when 5 + 61/4 + (-2)/8 is divided by 11.
9
Suppose c - 2*c = -2*v + 51, 8 = v - 4*c. Calculate the remainder when 109 is divided by v.
25
Suppose -3*s - 3*y - 58 = y, 20 = 4*y. Let u = 42 + s. Let w = -9 + 15. What is the remainder when u is divided by w?
4
Let l = -176 - -291. Suppose q = 3*o - 0*q - l, 3*o - 119 = -q. What is the remainder when o is divided by 21?
18
Calculate the remainder when 18 is divided by 10/(-3)*2*(-9)/5.
6
Let c = -20 + 36. Calculate the remainder when 78 is divided by c.
14
Suppose -23*b + 28*b = 125. What is the remainder when b is divided by 10?
5
Suppose 5*m - 7*m = -48. Calculate the remainder when m is divided by 9.
6
Suppose 5*p + 3*f = 341, 0*p - 4*f = -3*p + 222. Calculate the remainder when p is divided by 24.
22
Let k(b) be the second derivative of b**5/20 + b**4/4 - b**3/6 - 3*b**2/2 + 4*b. Let p be k(-3). What is the remainder when (1 + p)/(1/2) is divided by 1?
0
Let r(m) = -42*m - 1. Calculate the remainder when r(-1) is divided by -1*(-6)/(-21) + (-200)/(-14).
13
Let y(i) = 3*i + 5. Suppose 3*p - 23 = -4*k + 9, 0 = 4*p - 16. Let b = 32 - -6. What is the remainder when b is divided by y(k)?
18
Suppose y = -2*y + 153. Suppose 3*z - 33 = -3*p, 4*z + 3*p + 25 = 71. Calculate the remainder when y is divided by z.
12
Let w(o) = -o**3 + 16*o**2 + 2. What is the remainder when 2 is divided by w(16)?
0
Let s(b) = 16*b. Let m(r) = r**3 - 9*r**2 - 2*r + 35. What is the remainder when s(2) is divided by m(9)?
15
Let i(q) = -27*q - 22. Calculate the remainder when i(-5) is divided by 29.
26
Let g(q) = 3*q**2 + 9*q - 11. Calculate the remainder when g(5) is divided by 28.
25
Let w = 22 - -58. What is the remainder when w is divided by 28?
24
Let c(i) = i**2 - i - 5. Let f be c(-4). Suppose -v - 5*a + 25 = 0, -4*v - f = -7*v + 5*a. What is the remainder when 37 is divided by v?
7
Suppose 0 = 2*q + 3*s - 9, 4*q + s - 10 = 23. What is the remainder when 107 is divided by q?
8
Let k(u) = u**3 - 16*u**2 + 19*u + 6. Let l be k(15). Suppose 2*h - l = -0*h + m, -m + 2 = 0. Calculate the remainder when h is divided by 9.
7
Suppose 27 - 39 = -v. Calculate the remainder when 23 is divided by v.
11
Let q(c) = c**3 - 6*c**2 + 6*c + 3. Suppose 4 - 100 = -3*s - 2*m, -4*m = -12. What is the remainder when s is divided by q(5)?
6
Suppose -4*k - 21 + 81 = 0. Let z(s) = 5*s**2 + 5*s - 3. Calculate the remainder when z(-4) is divided by k.
12
Suppose 0 = -3*d + 5 + 10. Let y(r) = r**3 - 7*r - 8. Let a be y(-7). Calculate the remainder when a/(-18) - 12/(-54) is divided by d.
2
Let m = 258 + -167. Calculate the remainder when m is divided by 23.
22
Let i(b) = -b**3 + 5*b**2 + 5*b - 1. Suppose 0 = 6*k - 46 - 32. Calculate the remainder when i(5) is divided by k.
11
Let r = -369 + 398. What is the remainder when r is divided by (-3 - 0)*30/(-9)?
9
Suppose a + 44 = 4*a - 4*b, -3*b + 9 = 3*a. Suppose 2*c - 2*m + 7*m - a = 0, 20 = 5*c - 4*m. Calculate the remainder when 2 - c - (1 - 29) is divided by 9.
8
Let j = 9 - 6. Let h(z) = 5*z - 5. Calculate the remainder when 39 is divided by h(j).
9
Suppose -3*i + 116 = 5*k, 5*i - 148 = -3*k + 6*k. Calculate the remainder when i is divided by 12.
8
Let g be (-184)/(-12) + 4/6. Suppose 0 = 2*v - g. Suppose 0 = -3*w + 6 + 39. What is the remainder when w is divided by v?
7
Suppose o + 6*o = 273. Calculate the remainder when o is divided by 8.
7
Let u = -3 - -20. Calculate the remainder when 32 is divided by u.
15
Let v be (-1 + 2)/((-2)/18). Calculate the remainder when 18 is divided by v/12 - (-43)/4.
8
Let m(d) = -d - 2. Let t be m(-8). Suppose 0*n + 4*l = -3*n + 32, -2*l = 5*n - 72. What is the remainder when 2/(-6) - (-188)/t is divided by n?
15
Suppose -2*n + 34 = -16. Calculate the remainder when 97 is divided by n.
22
Let x be 1 + 1*(5 - 0). Let p(f) = -f**3 + 5*f**2 + 8*f - 7. What is the remainder when p(x) is divided by (-3)/4 - 22/(-8)?
1
Let l = -53 - -92. What is the remainder when l is divided by 8?
7
Suppose p = -3*d + 243, -3*p - 2*p + 81 = d. Let c be d/15*(0 - -5). Let y = -15 + c. What is the remainder when 47 is divided by y?
11
Let k = -54 + 82. Suppose 3*r + n - 107 = r, 3*r = -4*n + 153. Calculate the remainder when r is divided by k.
27
Suppose -8 = -2*s - 0*s. Suppose -3*d - s*h = -74, -3*h = 3*d + d - 87. What is the remainder when d is divided by 10?
8
Let u(p) = -2*p. Suppose -4 = 2*n - 0*n. Let w be u(n). Suppose -q + 3*o - 7 + 24 = 0, 5*q + w*o = 28. Calculate the remainder when 31 is divided by q.
7
Let p(n) = 21*n + 1. Suppose -16 = 2*b - 4*b. What is the remainder when p(1) is divided by b?
6
Let g(i) = -6*i**3 + i. Let p be g(-1). Let o = 18 - 14. Suppose 5*d = o*d + p. Calculate the remainder when 8 is divided by d.
3
Let j(d) = d**3 - 14*d**2 + 16*d + 1. Suppose -2*l - 13 = -39. What is the remainder when j(l) is divided by 14?
12
Suppose 813 - 2868 = -5*k. Suppose k = r + 2*r. Calculate the remainder when r is divided by 35.
32
Let x(b) = -b + 7. Let f be x(7). Suppose f = -6*q + q + 25. Suppose 2*r = -h + 17, 0 = -4*r + 3*r + q*h + 14. What is the remainder when 17 is divided by r?
8
Let c = -96 + 135. What is the remainder when c is divided by 21?
18
Let z(m) = 8*m + 16. Calculate the remainder when z(7) is divided by 19.
15
Let y be (-6)/9 - 51/(-9). Let s(j) = 3*j - 7. What is the remainder when 13 is divided by s(y)?
5
Let l be ((-4)/(-6))/((-4)/(-18)). Let r = l - 1. Calculate the remainder when 22 is divided by 96/18*3/r.
6
Suppose 0 = -79*h + 80*h - 16. What is the remainder when h is divided by 6?
4
Calculate the remainder when (3 - 2)*(-77)/(-1) is divided by 40.
37
Let h(p) be the first derivative of 2*p**3 + p + 1. What is the remainder when 20 is divided by h(-1)?
6
Suppose 4*n + 44 - 2 = -5*d, 4*d = n - 42. Let u(t) = 2*t + 9. Calculate the remainder when u(7) is divided by (1 + 1)*1 - d.
11
Let f = 7 + -5. What is the remainder when (-1 - 20/f)*-2 is divided by 12?
10
Suppose 0*z + z = 0. Suppose 2*j + y = z, y + 1 - 3 = -4*j. Calculate the remainder when j is divided by 1.
0
Suppose -6*q + 2*q + 148 = 4*u, 4*q - 184 = 5*u. Suppose -13 = -t - 2. What is the remainder when q is divided by t?
8
Let p = 24 - 7. Calculate the remainder when p is divided by (-2 - (1 - 3)) + 9.
8
What is the remainder when (36/(-15))/(-4)*195 is divided by 30?
27
Let i(f) = -2*f + 5. What is the remainder whe