03 + 137 = 20*d. Calculate the remainder when 31 is divided by d.
14
Let b(l) = -4*l - 3 + 4 - 7*l - 3*l. Let z(o) = o**3 + 8*o**2 + o + 6. Let k be z(-8). Calculate the remainder when b(k) is divided by 15.
14
Let u = -1 - -17. Let c(j) = j**2 - 2*j + 2. Let d be c(2). What is the remainder when ((-112)/5 - d)/((-10)/25) is divided by u?
13
Let s(f) = -f**2 + 5*f - 2. Let t be s(2). Let x = 105 - 104. What is the remainder when 12 - t - x*-3 is divided by 3?
2
Let x = -133 + 140. Suppose -8 = 2*b, -p - 4*b + 119 = -x*b. Suppose 0 = 4*u - 3*u - 27. Calculate the remainder when p is divided by u.
26
Suppose -41 + 233 = 3*l. Let t = l - 48. Calculate the remainder when t is divided by 9.
7
Let c(i) = -7*i + 3. Let w be c(10). Let u = w - -25. Let p = 26 - u. Calculate the remainder when p is divided by 24.
20
Let f(w) be the second derivative of -w**5/20 - w**4/3 + 7*w**3/6 - 2*w**2 - 6*w. What is the remainder when f(-7) is divided by 24?
22
Suppose 5*w - 8*o - 470 = -3*o, 4*w = o + 373. Let h = -25 + 44. Calculate the remainder when w is divided by h.
17
Suppose 0 = -m - 2*m + 4*s + 142, 0 = 4*m - 2*s - 196. Calculate the remainder when 116 is divided by m.
16
Suppose -160 = 20*n - 16*n. Suppose -f + 0 = -1. What is the remainder when (20/n)/((-2)/4) is divided by f?
0
Let m be 14/5 + (-2)/(-10). Suppose m*j - 168 = -j. Let a(p) = -2*p**3 - 17*p**2 - 11*p - 9. Calculate the remainder when j is divided by a(-8).
12
Let y(g) = -20*g. Let q be y(1). Let k(p) = -11*p - 615. Let u be k(-54). Let c = q - u. What is the remainder when 3 is divided by c?
0
Suppose 4*s + 10 = -2*x, 2 = -3*s - 4*x - 13. Calculate the remainder when (-126)/(-4) + 11/(-22) is divided by (-3 - s)*22/(-4).
9
Let j be (-56)/12*((-162)/(-21))/(-3). Suppose -6*b + 7*b - j = 0. What is the remainder when 21 is divided by b?
9
Let v(z) be the third derivative of z**5/30 + 53*z**4/24 + 14*z**3/3 - 45*z**2. What is the remainder when v(-27) is divided by 15?
10
Let q be (-6)/(-39) + (-185)/(-65). Suppose 4*a = q*w + 714, 358 = a + a - 2*w. Suppose -4*j + j = -a. Calculate the remainder when j is divided by 15.
14
Suppose -4*a + 166 = 42. Let i = -25 - -47. Suppose 3*n = n + i. What is the remainder when a is divided by n?
9
Let w(r) = -r**3 + 6*r**2 + 5*r - 16. Calculate the remainder when 69 is divided by w(6).
13
Let j(r) = -r**2 + 21*r + 80. What is the remainder when 284 is divided by j(22)?
52
Suppose 0 = 22*w - 17*w - 500. Suppose 99 = 3*k + 3*b, -2*b = b + 3. What is the remainder when w is divided by k?
32
Suppose 2*p - 5*p = 2*m - 256, 5*p = 5*m - 640. Suppose -d - 4*o = 10 - 36, -3*o = 0. Calculate the remainder when m is divided by d.
24
Suppose 121*w + 230 = 144*w. Let s(p) = -7*p - 7. What is the remainder when s(-5) is divided by w?
8
Let c(w) = w**3 + 5*w**2 - 5*w + 11. What is the remainder when 393 is divided by c(-5)?
33
Calculate the remainder when (-26 - -30)*11/4 is divided by 8.
3
Suppose -5*c + 98 = 2*w, -4*c - 3*w + 56 = -7*w. Let q = 41 + -34. Suppose q*a = 9*a - 68. What is the remainder when a is divided by c?
16
Let p = 4 + -1. Suppose 0 = 4*o + 5*y + 204, o = 4*o + 3*y + 150. Let q = -37 - o. Calculate the remainder when q is divided by p.
0
Let x(m) = m**2 + 2*m - 70. What is the remainder when x(-28) is divided by 55?
53
Let t(a) = -187*a - 3719. Suppose -n + 55 = h - 6*h, 4*n = -4*h + 124. Calculate the remainder when n is divided by t(-20).
14
Let k(a) = 2*a**3 - 6*a**2 - 6. What is the remainder when k(5) is divided by ((-2)/(-4))/(4/128)?
14
Let w(q) = q**2 - 5*q - 2. What is the remainder when 36 is divided by w(6)?
0
Let m(x) be the second derivative of x**4/12 - x**3/2 - 13*x**2/2 + 43*x. Calculate the remainder when m(6) is divided by 2.
1
Let d(o) = 3*o + 2. Let p be d(6). Let n = p + -18. Suppose 3*t - 2*t = 4*v - 150, n = -t. Calculate the remainder when 144 is divided by v.
33
Let b(w) = 4*w**2 + 7*w + 9. Suppose 5*r + 43 = c, 87 = 3*c - 8*r + 7*r. Suppose 29 = 3*q - c. What is the remainder when b(-5) is divided by q?
17
Let m be 1*24/4 - -4. Let f = 31 - m. Calculate the remainder when 81 is divided by f.
18
Suppose 32 = 3*h + h + 4*l, -3 = 3*l. Calculate the remainder when h is divided by 2.
1
Calculate the remainder when 49 is divided by 6 + (-47)/8 + 398/16.
24
Let d(b) = -18*b + 2. Let v be d(2). Let i = -57 - v. Let g = -2 - i. Calculate the remainder when g is divided by 6.
3
Suppose -f + 610 = 223. Calculate the remainder when f is divided by 22.
13
Suppose 10*r - 324 = -44. What is the remainder when 194 is divided by r?
26
Suppose 0 = f + 3*f - 352. Suppose 1237 + 364 + 339 = 194*n. What is the remainder when f is divided by n?
8
Suppose 3 = -x - 5*k, -x + 5*k = -39 + 2. Let p = -589 + 722. Calculate the remainder when p is divided by x.
14
Let p(n) = -n**2 - 7*n + 8. Suppose -5*i + 1 = h, 4*i - 6*h + 5*h - 8 = 0. Let o(y) = 7*y**3 + 2*y - 1. Calculate the remainder when p(-6) is divided by o(i).
6
Let s(b) = -23*b - 7. Let u = -15 + 10. Let z be s(u). Suppose -5*t + z = 4*x, -4*x + 91 = -4*t + 19. Calculate the remainder when 64 is divided by x.
20
Suppose -2*n + 12 = -4*a, -5*n - 3*a = 7 + 15. Let j be n - 182*4/8. What is the remainder when -2 + (0 - 1)*j is divided by 23?
22
Suppose 2*t = -r + 15, -2*r - 40 = -5*t - 4*r. Calculate the remainder when 29 is divided by t.
9
Let g(j) be the third derivative of j**5/60 + j**4/8 + 2*j**3/3 - 9*j**2. What is the remainder when 55 is divided by g(-5)?
13
Let x = -55 - -25. Let h be (252/x)/((-6)/40). Suppose -r - h = -3*r. What is the remainder when 111 is divided by r?
27
Let u(g) be the first derivative of 41*g**3/3 - g**2/2 - 4. Let f be u(1). Calculate the remainder when 53 is divided by (48/f)/((-1)/(-15)).
17
Suppose 0 = -5*y + 3*c + 1, 3*y + 5*c + 8 + 5 = 0. Calculate the remainder when 71 is divided by (-4)/(-4)*(-7 + 1)/y.
5
Let u(m) = m - 4. Let x be u(3). Suppose -17 = 2*j + 5*g, -2*j + 5*g = 2*j - 41. What is the remainder when ((-980)/80)/(x/j) is divided by 18?
13
Suppose -53 + 77 = 2*t. What is the remainder when 236 is divided by t?
8
Suppose 0 = 124*n + 5516 - 6890 - 10034. Let p(y) = 23*y**3 + 1. Calculate the remainder when n is divided by p(1).
20
Suppose -77 + 28 = -a. What is the remainder when 188 is divided by a?
41
Suppose -6*x - 3*f = -x + 300, 3*f + 180 = -3*x. Suppose 4*c + 2*y = 80, -2*c + 3*y = y - 34. Calculate the remainder when 71 is divided by (x/(-3))/(-5) + c.
11
What is the remainder when (-12)/(-5)*140/6 is divided by (26/(-10) + 3)*30?
8
Suppose 4*h = 758 - 286. Suppose 0 = -3*q - 25 + h. What is the remainder when q is divided by 6/((-324)/(-585)) - (-2)/12?
9
Calculate the remainder when 244 is divided by 121/(-132)*-69 + (-1)/4.
55
Let a(d) = 7*d - 27. Suppose 5*k - 45 = 5*o, 5*o = -11*k + 6*k + 85. What is the remainder when a(k) is divided by 23?
18
Let c(i) = -2*i**3 + 30*i**2 - 18*i - 8. Calculate the remainder when c(14) is divided by 20.
12
Suppose -4*t = -7*b + 9*b - 50, 0 = b - t - 37. Let u = 50 - b. Calculate the remainder when u is divided by 4.
1
Let f(z) = 8*z - 38. Let b = -157 + 166. Calculate the remainder when f(b) is divided by 13.
8
Let i(t) = -t - 13. Let c be i(-6). Let v(z) = z**2 + 4*z + 11. Let l be v(c). Suppose 0 = -2*b + l + 58. What is the remainder when b is divided by 12?
9
Suppose 31*z - z = -26*z + 840. Let t(d) = 2*d**2 + 2*d + 4. Calculate the remainder when t(-4) is divided by z.
13
Let j(y) = -y**2 + 9*y - 4. Let u be j(5). Suppose -9*s + 11*s - u = 0. What is the remainder when 31 is divided by s?
7
Let i(t) = 3*t**2 - 66*t + 129. Let q = -24 - -59. Calculate the remainder when q is divided by i(2).
8
Let m = -34 + 22. Let h(z) = -z + 1. Calculate the remainder when h(-4) is divided by ((-9)/m)/(2/8).
2
Suppose -5*z + 11 = 2*u, 2*z = z - 5*u + 16. Let x be 5*4/(3 + z). Suppose 81 = 4*p - 0*s - s, x*p - 3*s = 110. What is the remainder when 74 is divided by p?
17
Suppose 4*o - 383 = -315. What is the remainder when 236 is divided by o?
15
Let d = -479 - -485. Calculate the remainder when 14 is divided by d.
2
Let d(n) = -n**2 + 18*n - 26. Calculate the remainder when 141 is divided by d(16).
3
Suppose -4*k + 107 + 261 = 0. What is the remainder when k is divided by 294/735 - (-156)/10?
12
Suppose 2*y