0 + (-46)/i.
6
Let j(p) be the first derivative of p**4/4 - 10*p**3/3 - 11*p**2 + 11*p - 73. Calculate the remainder when j(12) is divided by (-616)/(-35) - (-4)/10.
17
Suppose 5 = 4*t - 59. Suppose 9*v - v - t = 0. Suppose -62 = v*g - 342. Calculate the remainder when g is divided by 47.
46
Let p = 4 - -51. Suppose 1200*v - 1196*v - 1748 = 0. Calculate the remainder when v is divided by p.
52
Let l(k) = -50*k**2 - 1 - 15*k - 2 - 6*k**2 + 55*k**2. Suppose 4*n + 4*p + 42 = -p, 4*n - 3*p = -26. Calculate the remainder when l(n) is divided by 11.
9
Suppose 5*b + 5*n - 18798 = -6228, 4*n - 17583 = -7*b. Calculate the remainder when b is divided by 56.
45
Suppose -35938*u + 35854*u + 8652 = 0. What is the remainder when u is divided by 668/44 + (-2)/11?
13
Let f(u) = -u**3 + 7*u**2 + u + 22. Calculate the remainder when f(6) is divided by 1*((21 - -1) + 0).
20
Calculate the remainder when (-3 - -62)*24/(2 - -1) + -7 is divided by 108.
33
Let i be (-2)/((3/522)/((-16)/64)). Let d be (-51)/(-12) + 3/(-12). Suppose i = d*a - 49. Calculate the remainder when a is divided by 9.
7
Let w = 10 + 10. Suppose -19*d + w*d = 346. Suppose -2*p = -4*k - d, k - 70 = p - 248. What is the remainder when p is divided by 46?
45
Suppose -2*f - 4*y = -6 + 18, -5*y = 5*f + 15. Suppose -t - m - 26 = 0, f*m + 136 = -4*t + 4*m. Let z = t + 42. Calculate the remainder when z is divided by 5.
2
Suppose -301 = -3*t + 5*r, -3*t + 20*r = 22*r - 266. What is the remainder when 120 is divided by t?
28
Let s = -788 + 799. Calculate the remainder when 20 is divided by s.
9
Suppose 55*z - 3713 = 23*z - 15*z. What is the remainder when z is divided by 33?
13
Let b(z) = -z + 14. Let f(c) = -4*c - 12. Let u be f(-5). Let k be b(u). Calculate the remainder when 67 - (3/k + (-4)/(-8)) is divided by 34.
32
Let h = 4 - 0. Suppose -h*n = -i - 4*i - 125, -50 = 2*i - 5*n. Calculate the remainder when 39 is divided by ((-26)/(-30) - (-5)/i)*15.
9
Let s be 35 + (-8)/(-1 + 5). Let p = s + -34. What is the remainder when 53 is divided by 1 + 9 + 2 + p?
9
Let l = -10 + 24. Suppose 16*x + 39*x - 4565 = 0. What is the remainder when x is divided by l?
13
Suppose 43 = 15*j - 2. Suppose j*d = -6*d + 414. Calculate the remainder when 198 is divided by d.
14
Let n = -146 - -1. Let q = -135 - n. Calculate the remainder when 25 is divided by q.
5
Let q = -1214 + 1699. Suppose -4*w - w = -q. Let g = 78 + -29. What is the remainder when w is divided by g?
48
Let i = 78 + -89. Let h be (-137 - i)*(-6)/7. Suppose 3*z - h = -3*p, -4*p - 108 = -0*z - 3*z. Calculate the remainder when 70 is divided by z.
34
Let x be 1674/3*(-7)/(-21). Suppose -4*t + 2*z = -x, -3*z - 58 = -2*t + 25. Let n = 55 - t. Calculate the remainder when 34 is divided by n.
4
Suppose 4*k - 100 = 3*d, 80 = 5*k - 3*d - 45. Suppose -751 = -k*n - 151. Calculate the remainder when 119 is divided by n.
23
Let s(b) = -23*b - 169. Let u(x) = -15*x - 113. Let m(l) = 5*s(l) - 8*u(l). Calculate the remainder when 109 is divided by m(-8).
14
Suppose 17*v - 310 - 64 = 0. Suppose v*c + 72 = 28*c. Calculate the remainder when 45 is divided by c.
9
Let a(q) = q**3 + 9*q**2 - 7*q + 10. Suppose -2*l - 8 - 8 = 0. Suppose -66 = 2*t - 4*t. Calculate the remainder when a(l) is divided by t.
31
Suppose -2*v - 5*q - 67 = 0, v - 5*q + q + 14 = 0. What is the remainder when 19 is divided by 4557/637 + 4/v?
5
Let y(c) = -7*c + 11. Let u be (-20)/(-6)*72/40. Suppose 3*b + u = -q - 0, 6 = -q + b. Calculate the remainder when y(q) is divided by 14.
11
Suppose 1 + 44 = 3*t. Suppose -4*s + 17 + t = 0. What is the remainder when 37 is divided by (42/s)/((-12)/(-32))?
9
Let x(q) = -10*q - 9. Let s(d) = -2*d**3 - 80*d**2 + 79*d - 112. Calculate the remainder when x(-4) is divided by s(-41).
9
Let f = 55 - 35. Let l be 5 + 2 + f/(-5). Suppose -6 = -3*z - l, -g - 4*z = -13. Calculate the remainder when g is divided by 4.
1
Let z(g) = -7*g**3 - 2*g**2 - 3*g - 1. Let f = 0 + 0. Suppose 5*y - 4*n = 178, f = 2*y + 3*y + n - 168. Calculate the remainder when y is divided by z(-1).
6
Let j = -65 + 119. Let q be 0 - (-1 - 6/(-3)). What is the remainder when (q + 5/3)*j is divided by 13?
10
Let n(s) = -6997*s + 22. What is the remainder when (-2)/5 + (-644)/(-10) is divided by n(0)?
20
Let o(r) = -2*r - 60. Let y be o(-19). Let u = 39 + y. What is the remainder when 372 is divided by u?
15
Let m(j) = 2*j**3 + 29*j**2 - 13*j - 362. Calculate the remainder when 2462 is divided by m(-14).
14
Suppose 10 = -14*w - 32. Let h be w/2*4/6. Calculate the remainder when 43 is divided by ((-25)/(-2) - h)*26/39.
7
Suppose 303 = -17*o + 830. Let p(z) = 3*z**2 - 33*z - 339. What is the remainder when p(-8) is divided by o?
24
Let s(p) = p**2 - 11*p - 38. Let t be (-1)/((-175)/85 + 2). Calculate the remainder when s(t) is divided by 23.
18
Suppose -2*p + 3 = -19. Let d(n) = 2*n**2 + n + 2. Let u be d(4). Suppose 4*g + u = l, 3*l + 5*g - p - 35 = 0. What is the remainder when l is divided by 3?
1
Let u = 13725 + -13676. Calculate the remainder when 287 is divided by u.
42
Let p = -15 - -56. Let o(x) = 17452*x - 52113. What is the remainder when o(3) is divided by p?
38
Let b = 2467 + -2202. Calculate the remainder when b is divided by 69.
58
Suppose 0 = -n + 7 + 20. Suppose -2*z + 628 = 4*i - 0*i, -z = i - 158. Suppose -247*u = -249*u + i. What is the remainder when u is divided by n?
24
Let r(j) = 6*j**2 + 301*j + 908. What is the remainder when 213 is divided by r(-3)?
36
Let j(l) = l**2 + l + 145. Let f be j(0). Suppose -4*u = 5*y - f - 91, -208 = -5*y + 3*u. Let w = 1854 - 1679. Calculate the remainder when w is divided by y.
43
Suppose 589 = b + 567. Suppose -3*g + 2*i = -2*g + 18, -2*i = -2. Calculate the remainder when b is divided by (-2)/g + (-93)/(-24).
2
Let c(k) = 4*k - 5. Let y be c(-14). Let p = -70 - y. Let v = 101 - p. What is the remainder when v is divided by 28?
26
Suppose -2*q + 111 = 3*s, 16*q - 2*s - 278 = 12*q. Calculate the remainder when 620 is divided by q.
26
Suppose 3*j + 264 = 2*p, 3*p + 134 = 4*p - j. Calculate the remainder when p is divided by 46.
0
Suppose 0*l + l - 129 = 0. Suppose 0 = -o + 5*b + 66, 4221*o + 88 = 4225*o + 2*b. What is the remainder when l is divided by o?
25
Let o = -8 - -13. Suppose 3*w + 21 = 4*w - 3*i, i - 121 = -o*w. Suppose -28*y + 752 = -20*y. What is the remainder when y is divided by w?
22
Let n = -2181 + 2209. Let r(x) be the second derivative of x**4/12 + 5*x**3/3 - 2*x**2 - 3*x. What is the remainder when r(9) is divided by n?
27
Let f(v) = -39*v - 754. What is the remainder when 466 is divided by f(-20)?
24
Suppose 69 = 8*v - 155. What is the remainder when 1029 is divided by v?
21
Suppose -5*q - 15721 - 8810 = -44*q. What is the remainder when q is divided by 167?
128
Let q(j) = -2*j**3 - j + 3. Let u be q(3). Let k = -51 - u. Suppose o + 162 = 7*o. Calculate the remainder when o is divided by k.
0
Suppose 5817 = 17*v + 5749. What is the remainder when 49 is divided by v?
1
Let d = -1633 + 1668. What is the remainder when 238 is divided by d?
28
Let f = -8554 + 11501. Calculate the remainder when f is divided by 164.
159
Let q = 405 + 5. Suppose 2*z + q = y + 3*y, -5*z + 417 = 4*y. Suppose -2*v = -2*c + 75 + y, -v + 95 = c. What is the remainder when c is divided by 31?
30
Let p = -1513 - -1429. Let q = 123 - 10. Let b = q + p. Calculate the remainder when b is divided by 5.
4
Let o = -767 + 689. Let q = o - -187. Calculate the remainder when q is divided by 7.
4
Let y = 28 + -24. Suppose -y*d + 156 = 64. Let v(w) = w**2 + 13*w - 35. What is the remainder when d is divided by v(-16)?
10
Let g = -27 + 18. Let x(f) = -f**2 - 19*f + 29. What is the remainder when x(g) is divided by 12?
11
Let l(d) = 4*d**2 - 6*d + 2. Let i be l(4). Let p be (59/118)/((-2)/120). Calculate the remainder when 6 is divided by (-4)/(-14) - p/i.
0
Suppose 13*t - 6 - 124 = 0. Let a = 9 + -5. Suppose -3*v - k = -39, -3*k - 42 = -a*v - k. Calculate the remainder when v is divided by t.
2
Suppose 4*a + 4 = 0, 2*a = -4*p + 16 - 2. Suppose 16 = z + p. Calculate the remainder when (-1)/(-4) + (-366)/(-8) is divided by z.
10
Suppose 147*f + 173*f = 32002 + 42558. Calculate the remainder when 7686 is divided by f.
230
Suppose 97 + 48 = 5*b. Suppose 2*u = 0, -2*m = -8