et x = 277 - d. Calculate the remainder when x is divided by 21.
20
Calculate the remainder when 41 is divided by ((-378)/(-27))/(2/3).
20
Let q(u) = u**2 + 10*u + 25. Let d = 0 - -4. Let i(w) = 2*w - 6. Calculate the remainder when i(d) is divided by q(-6).
0
Let l(a) = -a**3 - 2*a**2 + 2*a - 2. Suppose 28 = 5*i - 4*y + 11, -i = 4*y + 11. What is the remainder when 4 - ((-1 - -1) + i) is divided by l(-3)?
0
What is the remainder when 110600/980 - (-12)/(-14) is divided by 39?
34
Suppose 0 = 11*l - 8*l - 6. Suppose 0 = -5*x - l*x + 49. Let t = 40 - 28. Calculate the remainder when t is divided by x.
5
Suppose -5*d = -2*d - 189. Suppose 3*w - 4*i - 86 = 0, -2*w - 3*i + 2*i + 39 = 0. What is the remainder when d is divided by w?
19
Let h be 50 - (-5 + 3 + 0). Suppose h = 5*q - 33. Calculate the remainder when 66 is divided by q.
15
Let h = 8 - -6. Suppose 4*z - h = -26. Calculate the remainder when 49 is divided by (-20)/5 + z + 20.
10
Let j(h) = h**2 - 5*h + 2. Let i be j(3). Let f(o) be the first derivative of -3*o**2 + 3*o - 5. Calculate the remainder when f(i) is divided by 15.
12
Let d = -842 - -858. What is the remainder when 1245 is divided by d?
13
Let y be 0/((0 - -4) + -2). Suppose y*o + 7*o = 56. Calculate the remainder when 30 is divided by o.
6
Suppose 0 = -5*j - v + 25, -3*j + v - 4*v = -15. What is the remainder when -1 - j/(15/(-33)) is divided by 9?
1
What is the remainder when 20 is divided by (-6)/4*(-240)/40?
2
Let m(g) = 40*g - 36. Calculate the remainder when m(3) is divided by 45.
39
Let l = -179 + 318. Let c(m) = 15*m - 2. What is the remainder when l is divided by c(2)?
27
Let f = -100 - -102. Suppose -5*k - 17 = -4*l + 250, 2*l + 2*k - 120 = 0. What is the remainder when (1/3)/(3/l) is divided by f?
1
Let o be (-6)/9 - 40/(-15). Suppose o*j + 0*j = 5*t + 1, -25 = -5*j + 5*t. Calculate the remainder when 31 is divided by j.
7
Suppose 5*z - 2*v = 614, -5*z + 608 = -4*v - 0*v. Suppose -4*x = 0, 3*x + z = 3*s + s. Let k = -117 - -125. What is the remainder when s is divided by k?
7
Suppose 76*g - 72*g = -4*m + 184, 0 = -3*g + 4*m + 138. What is the remainder when 273 is divided by g?
43
Suppose -z + 5 - 3 = 0. Suppose 16 = 2*y + z. What is the remainder when 19 is divided by y?
5
Suppose 77*d - 75*d - 156 = 0. Suppose -3*i = 4*w + 18 - 184, 2*i = 3*w - 133. Let c = d - w. What is the remainder when c is divided by 19?
16
Let i(q) = -q**3 + 25*q**2 + 10*q + 24. Calculate the remainder when i(25) is divided by 23.
21
Let h(o) = -o**3 - 5*o**2 + 9*o. Let f be h(2). Suppose 3*q - 44 = -q. What is the remainder when (348/24)/((f/(-4))/5) is divided by q?
7
Let c = 406 + -347. What is the remainder when c is divided by 15?
14
Let i(b) = -b - 1. Let g be i(-7). Let p = 28 + g. Suppose -p = -3*q - 7. Calculate the remainder when 16 is divided by q.
7
Let n(h) = -h**2 + 8*h + 11. Let s be n(6). Let p = -11 + 17. Suppose -p*y + s = -5*y. What is the remainder when y is divided by 8?
7
Let w = 91 - -365. Let b be 9/2*2/3. Suppose j - w = -b*j. Calculate the remainder when j is divided by 23.
22
Let r be 4/6 + 130/(-6)*1. What is the remainder when 19 + r + 122/2 is divided by 16?
11
Suppose -4*v - 2 = -6*v. Let u = v - -9. Let r(o) = o + 8. What is the remainder when r(11) is divided by u?
9
Suppose -3*b - 4*p = -209, -4*p = -2*b + 55 + 111. Calculate the remainder when 446 is divided by b.
71
Suppose 38*w + 3 = 37*w. Suppose f - 5*f = -16. What is the remainder when f is divided by (-2)/1 + 8 + w?
1
Let f = 2100 + -1586. What is the remainder when f is divided by 255?
4
Let n = 13 - 18. Let y(g) = 17*g**2 + 9*g - 37. Let t(s) = 4*s**2 + 2*s - 9. Let i(c) = 9*t(c) - 2*y(c). Calculate the remainder when i(n) is divided by 15.
13
Let g = 19 - 14. Let m(x) = x**3 - 6*x**2 + 3*x + 4. Let p be m(g). Calculate the remainder when ((-9)/p)/((-6)/(-44)) is divided by 5.
1
Let i(b) = -b**2 + 13*b. Let p be i(13). Suppose p*x + 5*x - 270 = 0. Calculate the remainder when x is divided by 28.
26
Let p = 22 - 14. Let b(z) = z**2 + 5*z + 10. Let d be b(-3). Suppose d*y - n - 87 = 0, -5*y - n = n - 112. Calculate the remainder when y is divided by p.
6
Suppose 726*u = 727*u - 115. What is the remainder when u is divided by 9?
7
Let o be (-1)/(-2)*(5 + -1 + 0). Suppose k + 5*b + o - 3 = 0, 3 = -3*b. What is the remainder when 16 is divided by k?
4
Calculate the remainder when 44 is divided by 2*(-35)/42 + 82/6.
8
Let g(z) = 2*z**2 + 53*z + 181. Suppose -23 = -3*t - 2*q + 212, 0 = -t + 4*q + 69. Calculate the remainder when t is divided by g(-23).
17
Let f(s) = -13*s**3 - 4*s**2 - s. Let r(h) = -h**2 + h - 1. Let d(p) = -f(p) + 3*r(p). What is the remainder when d(2) is divided by 23?
21
Let q(c) = 219*c + 1149. What is the remainder when 169 is divided by q(-5)?
7
Suppose w - 53 = -v, 4*v - 5*w = -66 + 251. Let s be (-5)/(-50) + (-182)/20. Calculate the remainder when v is divided by (-1)/((8/156)/(6/s)).
11
Let d(l) = 19*l - 44. What is the remainder when 40 is divided by d(3)?
1
Suppose 3*c + 4*t = 94 + 80, -2*t + 56 = c. Suppose 5*i + 90 = 10*i - 5*b, 4*b + 30 = 2*i. What is the remainder when c is divided by i?
20
Suppose 7 = -32*u + 33*u. Suppose f + 25 = y + u, 4*y - 66 = f. Calculate the remainder when 78 is divided by y.
14
Let k(f) = f**2 + 16*f + 2. Let v be k(-16). Suppose v*l - 64 = 4*l. Let x = l + 48. Calculate the remainder when 29 is divided by x.
13
Suppose 5*v = 14*s - 13*s + 403, 5*v = -5*s + 385. Suppose 0*r = r - 21. Calculate the remainder when v is divided by r.
17
Let p = -1347 - -2786. Calculate the remainder when p is divided by 30.
29
Let z = 139 + -136. Suppose z = w - 13. Calculate the remainder when 156 is divided by w.
12
Calculate the remainder when 107 is divided by (-12)/(2 + (-16)/6).
17
Suppose 20*x = 83 + 57. Calculate the remainder when 32 is divided by x.
4
Suppose 5*s - 85 - 95 = 0. What is the remainder when s is divided by (33/(-9))/((-2)/6)?
3
Let m(k) = k**2 - 6*k - 50. Calculate the remainder when m(-8) is divided by 23.
16
Let w = 161 + 34. What is the remainder when w is divided by 22?
19
Let p(r) = -2*r - 19. Suppose 7*v = 276 + 214. Suppose 2*j - 7*j = v. What is the remainder when 33 is divided by p(j)?
6
Let s(h) = 2*h**2 + 3*h - 42. Let x be s(-8). Let f = x + -18. What is the remainder when 174 is divided by f?
42
Suppose y + f - 35 = 0, 42 = y + y - 5*f. Let c(q) = -2*q**2 + 30*q + 9. What is the remainder when c(13) is divided by y?
30
Suppose 0 = 2*w + 5 - 17. Suppose 4*t = w*s - s + 77, s = t - 20. Suppose -2*x = 3 - t. Calculate the remainder when 17 is divided by x.
7
Suppose 64 = -0*u + 2*u. Let k be (2/4)/(8/u). Suppose h - f = -5*f + 33, -2*h = k*f - 36. What is the remainder when 62 is divided by h?
10
Let u(x) = -2*x**3 + 168*x**2 + 344*x + 38. Let a(s) = -24*s + 7. What is the remainder when a(-6) is divided by u(86)?
37
Let k(y) = 3*y. Let u be k(1). Calculate the remainder when (u*-7)/(2/(-6)) is divided by (6/(-4))/(9/(-96)).
15
Let q = -22 - -25. Calculate the remainder when 1/q + 1690/15 is divided by (-1 + 0/(-2))*(1 + -30).
26
Let n = 68 + -33. Calculate the remainder when 30 is divided by 3*2/21 - (-410)/n.
6
Let f(h) = h**2 + 7*h + 6. What is the remainder when f(-8) is divided by 3/(-3)*(-1)/(3/12)?
2
Let c(r) = 15*r**2 - 5*r + 3. Let i be c(4). Suppose -4*k = p - 145 - i, 5*k - 4*p - 481 = 0. What is the remainder when k is divided by 24?
21
Suppose 5*c + q - 8 - 22 = 0, 0 = -2*c + 5*q - 15. Suppose -3*k + 6 = -0*k. Suppose -c*p - k + 57 = 0. What is the remainder when 41 is divided by p?
8
Suppose -w = -4*j - 1687, -24*w + 1722 = -23*w + 3*j. Calculate the remainder when w is divided by 15.
12
Let b(s) = 3*s**2 - 4*s + 6. Let d be b(5). Suppose w + 0*w - d = -5*p, -2*p + 3*w + 38 = 0. What is the remainder when 38 is divided by p?
12
Suppose 2*r + r - 18 = 0. Calculate the remainder when ((-8)/4 + -12)/(-2) is divided by r.
1
Let t(u) = -36*u - 874. Suppose -27 = -b - 2*b. What is the remainder when t(-26) is divided by b?
8
Suppose 0 = -o + 2*o - 10. What is the remainder when 16 is divided by o?
6
Let w(g) = -93*g - 254. Calculate the remainder when w(-15) is divided by 26.
23
Let r(t) = -21*t + 2. Let c(d) = 357*d - 35. Let z(l) = -2*c(l) - 35*r(l). Suppose 1280 = 74*