when 287 is divided by n.
35
Let v(q) be the third derivative of q**5/30 + q**4/6 - 25*q**3/3 + 213*q**2. What is the remainder when 238 is divided by v(-7)?
18
Let a(k) = -133*k - 1709. Calculate the remainder when a(-13) is divided by 3.
2
Suppose -3*i + 853 = 125*u - 123*u, 858 = 3*i - 3*u. What is the remainder when i is divided by 82?
39
Let t be (-16)/(-168) + 107/(-21). Let n(a) = 5*a**2 - 2*a - 28. What is the remainder when n(t) is divided by 31?
14
Let o(v) = -9*v - 141. Let w be o(-16). Suppose -3*h + w = 0, -c + 2 = -2*h - 3. Calculate the remainder when 106 is divided by c.
1
Let d be 3/(1 + (-4)/(-8)). Suppose -w + 29 = 2*t, 0*t - 7 = -t - d*w. Let i = -90 - -96. What is the remainder when t is divided by i?
5
Suppose 94*z + 1916 - 4541 = 3109. Calculate the remainder when 8431 is divided by z.
13
Let a = 14 + -10. Suppose 0 = -u - a*n + 27, u = -n + 6*n + 9. Let v = -4706 + 4716. Calculate the remainder when u is divided by v.
9
Suppose 4*c + r = 1464, -4*c + 1464 = 615*r - 619*r. Calculate the remainder when c is divided by 15.
6
Suppose 0 = -28*h - 1881 + 2133. Calculate the remainder when 965 is divided by h.
2
Let j(r) = -3*r**2 + 214*r + 686. What is the remainder when j(73) is divided by 75?
21
Suppose 0 = -3*y + 3*r + 3453, -y + 32*r + 1163 = 27*r. Calculate the remainder when y is divided by 23.
21
Suppose 3*n - 5*l - 313 = 0, 2*n - 242 = 65*l - 70*l. Calculate the remainder when 355 is divided by n.
22
Let q(p) = p**2 + 13*p - 17. What is the remainder when 399 is divided by q(4)?
42
Let x be 50/(-15)*(5 + 125/(-10)). Suppose x*b - 51*b = -1196. Calculate the remainder when 117 is divided by b.
25
Suppose -26*k + 7*k + 23*k = 64. Let t(v) = -16*v**3 + 3*v**2 + 2. What is the remainder when t(-3) is divided by k?
13
Suppose d - 242 = -d. What is the remainder when d is divided by (4293810/(-456))/(-243)*(1 + (-2)/10)?
28
Let w = -1762 - -2018. What is the remainder when w is divided by 58?
24
Let a(b) = b**3 + 35*b**2 - 77*b - 34. Calculate the remainder when 557 is divided by a(-37).
18
Suppose 4*w = k + 100 + 448, 2*k + 8 = 0. Calculate the remainder when 2051 is divided by w.
11
Calculate the remainder when (-6)/3*(15/(-15) + -2398) is divided by 100.
98
Let w(f) be the second derivative of 9*f**3/2 + 51*f**2/2 - 15*f. What is the remainder when w(18) is divided by 90?
87
Let k(v) = -v**2 + 20*v + 156. Let j be k(26). Suppose j = 63*u - 524 - 43. What is the remainder when 77 is divided by u?
5
Let c(z) = -1334*z + 4617. What is the remainder when c(3) is divided by 287?
41
Suppose -71*b = -80*b - 72. Let f = -24 + 35. Calculate the remainder when (-2)/(-3) + b/(144/(-330)) is divided by f.
8
Suppose 4*x - 4*g + 64 = 36, -5*x + 3*g = 39. Calculate the remainder when 99 is divided by (-7)/((-1 + 3)*x/54).
15
Let p = 3696 + -3361. Suppose -280 = -n - 4*n. What is the remainder when p is divided by n?
55
Suppose -202*x + 191*x + 352 = 0. Suppose -x*v - 48 = -38*v. Let q(m) = -m**3 + 5*m**2 - m + 3. What is the remainder when q(4) is divided by v?
7
Let v(w) = -5*w + 7. Let r(c) = -21*c + 25. Let f(k) = 4*r(k) - 18*v(k). What is the remainder when 622 is divided by f(7)?
14
Let w(q) = 2*q**2 + q + 178. What is the remainder when w(-10) is divided by 133?
102
Suppose 11*o = 22*o - 803. Suppose -63*w = -o*w + 370. Calculate the remainder when 77 is divided by w.
3
Calculate the remainder when 361 is divided by (1 + -1 + 1)*(136 + 211).
14
Suppose 26*m - m - 581 = -106. Calculate the remainder when 462 is divided by m.
6
Suppose -7*t - 14 = -77. What is the remainder when ((-2055)/(-20))/(t/12) is divided by 28?
25
Suppose 216 = 638*q - 630*q. Let y = 50 + 24. What is the remainder when y is divided by q?
20
Let u be (770/40)/((-2)/(-16)). Suppose 56*y - u = 45*y. Calculate the remainder when -4*(2 + 57/(-4)) is divided by y.
7
Let v(g) = 738*g + 3059. Calculate the remainder when 241 is divided by v(-4).
27
Let z be 34/(-51) - (-18038)/3. Suppose 0*b - z = b. What is the remainder when (-10)/(-4)*b/(-90) is divided by 13?
11
Let i(l) = 22 + 5*l**2 + 10*l**2 - 16*l**2 + 5*l. What is the remainder when 148 is divided by i(7)?
4
Suppose -n = -8*n + 28. Suppose -2 = -2*w + n. Suppose 0*a - w*a - 6 = 0, a + 206 = 3*d. Calculate the remainder when d is divided by 24.
20
Let j = -9528 - -9833. Calculate the remainder when 3050 is divided by j.
0
Suppose -x - 3*j + 462 = 0, -3*j = x + 2*j - 460. Suppose 21*q = 36*q - x. What is the remainder when q is divided by 7?
3
Suppose -79*z = -2075 + 732. Calculate the remainder when 622 is divided by z.
10
Suppose 4*o + 56 = 11*o. Suppose 0 = l - 0 - 4. Calculate the remainder when l/(-10) + 1672/55 is divided by o.
6
Let x(r) = 16*r**2 + 16*r + 5. Calculate the remainder when x(-3) is divided by 21.
17
Suppose -23 + 131 = 2*v. Let a = v + -51. Let g(k) = -5*k - 9. Calculate the remainder when g(-5) is divided by a.
1
Suppose 346 = 43*t + 659 - 2334. Suppose 2*n = 7*n + 3*x - 75, 46 = 3*n + 2*x. Calculate the remainder when t is divided by n.
11
Suppose -408 = -6*q - 30. Suppose 72 = 2*k + 10. What is the remainder when q is divided by 0 + k - 28/(-14)?
30
Let p = 2241 + -2160. Calculate the remainder when 355 is divided by p.
31
Let n(f) = f**2 - 14*f + 27. Suppose 317 = s + 49. What is the remainder when s is divided by n(14)?
25
Calculate the remainder when 810 is divided by -4 - (120/6)/(-1 - (-69)/75).
72
Let y = 32 - 34. Suppose -4*p = -q - 13, -14*q = -13*q + 4*p - 3. What is the remainder when 502/2 + (20/q - y) is divided by 10?
9
Let c be (30/12 + -2)*(-1 - -1). Suppose -10*v - 8*v + 3834 = c. Calculate the remainder when v is divided by 36.
33
Let s(a) = 2*a**3 - 38*a**2 + 71*a + 73. Calculate the remainder when s(17) is divided by 54.
16
Let u(i) = -416*i - 1162. Calculate the remainder when u(-5) is divided by 459.
0
Let n = 96 - 59. Suppose 0 = n*u - 21*u - 432. Suppose -5*r - 235 = -4*s, 4*r + 96 = -3*s + 311. What is the remainder when s is divided by u?
11
Let a = 75 + -67. Suppose x + 22 = 5*d, -4*d + 2*x = -3*d - a. What is the remainder when 10 is divided by d?
2
What is the remainder when 659 is divided by (30/(-80) - 81/(-24))*1118/26?
14
Suppose -37102 = -119*z + 57109 + 8248. What is the remainder when z is divided by 77?
14
Calculate the remainder when 339 is divided by (-1)/4 + 414*6/144.
16
Suppose 2*j - 29 = -19. What is the remainder when 20 is divided by (3*2)/(j + (-13)/3)?
2
Let o(p) = 3*p**2 - 3*p + 6. Let z be o(0). Suppose 0*w + z*w = 468. Calculate the remainder when w is divided by (-2 - -7*4) + 1.
24
Let i be (-1 + -2)/(3 + -2). Calculate the remainder when (-61)/i - (-3)/(-9) is divided by (0 - 22/4)/(10/160*-8).
9
Let r(n) = -n**2 + 10*n - 21. Suppose 0 = -23*d + 19*d + 44. Suppose -d*j = -18*j + 91. What is the remainder when j is divided by r(5)?
1
Suppose p - 4*i = 3*p - 130, -2*i + 191 = 3*p. What is the remainder when p is divided by ((-57)/5)/((-1800)/3000)?
6
Suppose 373 = 5*q + g - 502, 700 = 4*q + g. Suppose 3*r - 14*o + 16*o - 127 = 0, r + 2*o = 37. Calculate the remainder when q is divided by r.
40
Suppose -278 - 17506 = -4*w - 4*w. What is the remainder when w is divided by 129?
30
Suppose 556*j + 3*l - 1023 = 555*j, 0 = -7*l - 49. Calculate the remainder when j is divided by 243.
72
Let b = 7063 + -6995. What is the remainder when 218 is divided by b?
14
Suppose 23*d - 100*d + 616 = 0. What is the remainder when 85 is divided by d?
5
Let a(q) be the first derivative of -q**3 + 11*q**2 + 28*q + 27. Let m(d) be the first derivative of a(d). What is the remainder when m(-7) is divided by 24?
16
Suppose -131 + 139 = 4*c. What is the remainder when (c + (-68)/(-6))*(-609)/(-58) is divided by 29?
24
Let b = -20 - -5. Let g = 18 + b. Suppose t + l = -2*l + g, -l + 33 = 3*t. What is the remainder when 42 is divided by t?
6
Suppose -4*g - 6 = -3*d, 0 = -102*d + 101*d + 3*g + 2. Calculate the remainder when 203 is divided by d.
1
Suppose -3 = -a - 0*a, 3*a = 4*f - 5667. What is the remainder when f is divided by 352?
11
Let w = 58 + -88. Calculate the remainder when 103 is divided by (-94)/w - 70/525.
1
Let j be (30/25)/((-3)/(-115)). Let g = j - 32. What is the remainder when 27 is divided by g?
13
Let k(u) = -3*u**3 - 5*u**2 - 53*u - 89. Wha