)/126.
15
Let c(q) be the third derivative of 7*q**4/12 + 21*q**3 - 148*q**2. Calculate the remainder when 83 is divided by c(-8).
13
Calculate the remainder when 213/((-8 + 17)*5/75) is divided by 17.
15
Suppose -115*s + 1394 + 4709 + 1142 = 0. What is the remainder when 900 is divided by s?
18
Suppose -5*x = 5*k - 265, 4*x = 2*k - 7 + 219. What is the remainder when 137 is divided by x?
31
Let d be 13 + 49/(-3 + -4). Suppose 0 = d*j + 7 - 67. Let q = 25 + -18. Calculate the remainder when j is divided by q.
3
Suppose 379*r = 370*r + 3834. Suppose 629 = 3*v - 4*a, 2*v - r = 14*a - 18*a. What is the remainder when v is divided by 73?
65
Suppose j + 3*t = 413, -3*j - 36*t + 35*t + 1231 = 0. What is the remainder when j is divided by 4?
2
What is the remainder when (-2)/(-5) + (-7)/(70/(-6096)) is divided by (-528)/(-32) - (-12)/8?
16
Calculate the remainder when (-16)/(-3 + -1) - -149 is divided by ((-82)/287 - (-254)/7) + -5.
29
Let y be (-14989)/(-78) - 2/12. Suppose 0 = -54*z + 50*z + y. What is the remainder when 718 is divided by z?
46
Suppose 17*v - 17 - 459 = 0. Suppose 6*c = -v*c + 2720. What is the remainder when c is divided by 28?
24
Let z = -2 + 49. Let f = z + -28. Suppose 5*j + 2*s = 18, 2*j + 4*s + s = 3. What is the remainder when f is divided by j?
3
Let h = 9 + -15. Suppose -283*a - 1932 = -289*a. What is the remainder when (-1)/((-99)/a - h/21) is divided by 12?
10
Suppose -37*r - 6724 = -9092. Let k be 24/14 + (-4)/(-14). Suppose 2 = k*m - 10. What is the remainder when r is divided by m?
4
Suppose -5*z + 96 = 31. Suppose 3*l - 230 = -7 - 40. Calculate the remainder when l is divided by z.
9
Suppose -1 = -h - 0*h. Suppose 3*c - 19 = -h. What is the remainder when ((160/25)/(-8))/(-8 + (-1272)/(-160)) is divided by c?
4
What is the remainder when (-54)/30 + (-31836)/(-70) is divided by 26?
11
Let v = 4529 + -4251. What is the remainder when v is divided by 55?
3
Suppose 2*a + 2*a - 7*a = 0. Suppose b - 66 - 181 = -3*k, -k + 3*b + 99 = a. What is the remainder when k is divided by (-588)/(-27) - 2/(-9)?
18
Let w(g) = g**3 + 4*g**2 - 6*g + 8. Calculate the remainder when 264 is divided by w(2).
4
Suppose -23 = 5*y - 4*h, -4*y + 5*h = 9 + 13. Let g be (y/(-5))/(1/10). What is the remainder when 53 is divided by 23 + g/(-12) + (-14)/4?
15
Let f(s) = -s**2 - 25*s + 86. Let c be f(-36). Let p = 341 + c. Calculate the remainder when p is divided by 26.
5
Suppose 2*r = -3*a + 6*r + 170, -3*a + r = -173. Suppose d + a = 3*b, 0 = -4*b + 6*b + d - 32. What is the remainder when 125 is divided by b?
17
Suppose 167*q - 7 = 166*q. Let f(s) = s**3 - 1. Let k be f(-4). Let b = k - -96. What is the remainder when b is divided by q?
3
Let x = 16857 + -16676. Calculate the remainder when x is divided by (-342)/(-26) - (-20)/(-130).
12
Suppose -c - 2*c = 0. Suppose -v = -f + 15, -3*f = -15 - c. What is the remainder when 16 is divided by 6/(v/(-4)*(-4)/(-15))?
7
Let x = 344 - -18. Suppose 359*r - x*r = -99. What is the remainder when r is divided by 12?
9
Suppose 3*r = 305 + 490. Suppose -49*t + 54*t = r. Suppose -u + t = -0*u. Calculate the remainder when u is divided by 9.
8
Suppose 2*j = 4*j - 42. Let s = j + 2. Let r(c) = c**3 - 7*c**2 + 12*c + 3. Calculate the remainder when r(7) is divided by s.
18
Let l = 32 + -22. Let j be (-13)/(-65) + 58/10. Suppose 3*y + 4*x - 91 = 0, -y + 30 = -5*x + j*x. What is the remainder when y is divided by l?
9
Let x = 29 + -26. Suppose x*b + 78 = 492. Calculate the remainder when b*((-28)/(-12))/7 is divided by 16.
14
Let o(x) = x**3 - 31*x**2 + 26*x + 13. Let b be o(30). Let g = b - -165. Calculate the remainder when g is divided by 40.
18
Let i = -48636 + 48655. Suppose -f = -2*f - 5*c + 41, -2*c = f - 50. Calculate the remainder when f is divided by i.
18
Suppose 6*y - 277209 = -82*y + 102071. What is the remainder when y is divided by 56?
54
Let x(t) = -4*t - 14. Let w be x(-4). What is the remainder when (-25)/w*(-5 + 4)*2 is divided by 4*((-9)/12 - -3)?
7
Calculate the remainder when 4665402/196 + (52/56 - 1) is divided by 69.
67
Let o(b) = b**3 + 9*b**2 + 2*b + 21. Let z be o(-9). Suppose f - z*f = -118. Calculate the remainder when f is divided by 30.
29
Let l(x) = 241*x - 72. What is the remainder when 1170 is divided by l(1)?
156
Calculate the remainder when 675 is divided by (1 + -3 - -323)*200/300.
33
Let q(r) = 2*r**3 + 4*r**2 - r - 22. Let s be q(9). Let p = s - 1113. Suppose 8*u - p = 66. What is the remainder when u is divided by 18?
16
Let t be 15/(-4)*3/((-108)/192). Suppose 777 = t*n + n. What is the remainder when 104 is divided by n?
30
Suppose 3*c + 5*w - 1 - 6 = 0, 5*c - 19 = -w. Suppose 2*b + 16 = 2*q - 4*q, -q = c*b + 17. What is the remainder when 63 is divided by ((26/(-1))/1)/(-5 - b)?
11
Let z = -550 + 561. Calculate the remainder when 437 is divided by z.
8
Let s(h) = -h**3 + 28*h - 2632 + 2643 - 3*h**2 + 2*h**2. Calculate the remainder when 106 is divided by s(-6).
14
Let q(n) = 32*n + 14*n + 87*n + 4. Let g be q(1). Suppose g = 5*o - 188. Calculate the remainder when o is divided by 18.
11
Suppose -8*x + 3 + 15 = -62. Calculate the remainder when 3 + 49 + 12/(-3) is divided by x.
8
Let j(b) = b**3 + 6*b**2 - 7*b + 2. Let h = -26434 + 26517. Calculate the remainder when h is divided by j(-6).
39
Let a be -27 + 0 - (-24)/6. Let y = -13 - a. Let c = -60 - -85. Calculate the remainder when c is divided by y.
5
Suppose 2*m = -3*b + 20, 2*b = b. Let g(y) = -y**3 + 13*y**2 - 24*y - 6. Calculate the remainder when g(m) is divided by 29.
25
Let j(u) = u**3 + 11*u**2 - 23*u - 49. Suppose -2*r - 3*p - 15 = 0, 23*r + 24 = 20*r - 4*p. Calculate the remainder when j(r) is divided by 42.
41
Let d be 60/100 + (-3)/5. Suppose 0 = -d*s - 5*s + 5*g + 210, -219 = -5*s - 4*g. Calculate the remainder when 297 is divided by s.
39
Let b = -390 + 374. Suppose -3*r + 243 = -324. Calculate the remainder when r is divided by 64/12*((-36)/b + 0).
9
Let m be (-4)/14 - (-366)/(-42). Let q(h) = -h**3 - 17*h**2 + 13*h - 79. What is the remainder when (-367)/m - (-4)/18 is divided by q(-18)?
8
Suppose 23*w = -d + 21*w + 247, -3*w = -d + 262. What is the remainder when d is divided by 190?
63
Suppose -7*i - 6 = 8. Let p be (-4)/7 + i*(-736)/28. Let w = p + -43. What is the remainder when 23 is divided by w?
5
Suppose 61*q - 58*q = 87. Let a(v) = 2*v**2 - 4*v - 5. Let g be a(-3). Let t = -17 + g. What is the remainder when q is divided by t?
5
Let k = 83 + -58. Let d = -2577 - -2746. Calculate the remainder when d is divided by k.
19
Suppose -29*i + 320 = -25*i. Suppose 58 - 80 = -l. What is the remainder when i is divided by l?
14
Let l(c) = 298*c**2 + 247. What is the remainder when l(8) is divided by 40?
39
Suppose 47*j - 12*j - 1435 = 0. Let v(w) = -7*w + 17. What is the remainder when v(-15) is divided by j?
40
Let p(f) = -f**3 + 31*f**2 - 17*f - 23. Let c be p(30). Let n = 402 - c. What is the remainder when 137 is divided by n?
32
Suppose 2*s = -7*s + 126. Let d be ((-20)/4 + 3)/((-1)/s). Suppose b - m - 9 = 0, -4*m - 20 = -5*b + d. What is the remainder when b is divided by 9?
3
Let p(w) = w**2 + 5*w - 84. Let u be p(7). Suppose u = -4*t + 1072 + 432. Calculate the remainder when t is divided by 27.
25
Suppose 0 = 5*f + 4*y + 16, 0*f + 2 = -f - 2*y. Let g = -15 - -38. Let n = g - f. What is the remainder when 133 is divided by n?
25
Let o = -5769 - -6732. Calculate the remainder when o is divided by 21.
18
Suppose 4*m - 11 - 29 = 0. Suppose 11*f = m*f + 23. Suppose -a - s + f + 5 = 0, 2*a - s = 41. What is the remainder when 68 is divided by a?
22
Suppose -100*j = -99*j - 14. Let u(q) = -q**2 + 17*q + 16. Suppose 5*v - 12 = 18. What is the remainder when u(j) is divided by v?
4
Let w = -7 + 7. Let k(a) = -a + 5. Let x be k(w). Suppose 0 = -x*g + 4*q + 33, 3*q = 2*g + 2*g - 26. What is the remainder when 22 is divided by g?
2
Suppose -3*v - 201*r + 196*r + 353 = 0, -2*v = -5*r - 252. What is the remainder when 19357 is divided by v?
118
Let o = 20376 + -12306. Calculate the remainder when o is divided by 9.
6
Suppose 0 = o + 177 - 186. Calculate the remainder when 380 is divided by o.
2
Let j(y) = y**3 + 10*y**2 - 21*y + 41. Let v be j(-12). Suppose -90 = -2*a + v*t + 124, 0 = 5*a + 2*t - 506. Calcul