ed by (24*(-8)/(-24))/((-4)/(-18)).
34
Suppose 4*a + 5*k = 9812, -a = 3*k + 1474 - 3913. What is the remainder when a is divided by 147?
111
Suppose 5*s = -12*n + 16*n + 40, 5*n = -s - 21. Suppose -2*u + 822 = s*u. Calculate the remainder when u is divided by 7.
4
Suppose 4*w - w - 17 - 307 = 0. What is the remainder when 558 is divided by w?
18
Suppose -15*d - 778 + 7498 = 0. Suppose 16*g = 14*g + d. What is the remainder when g is divided by 43?
9
Suppose 0 = -4*r + 150 - 3542. Let j = -758 - r. Calculate the remainder when j is divided by 44.
2
Let d be -3 + 4932/6 - -8. Suppose -6*w + 2*w + 4*m = -548, -6*w + d = -5*m. Calculate the remainder when w is divided by 67.
8
Calculate the remainder when (2030/(-6) - -5)*2*24/(-32) is divided by 36.
32
Let q = -814 + 1242. What is the remainder when q is divided by 61?
1
Let u be (2698/57)/((-2)/(-9)). Let k = 300 - u. Calculate the remainder when k is divided by ((-4)/(-10))/((-2)/(-90)).
15
Suppose -104*y + 98*y = -864. What is the remainder when 424 is divided by y?
136
Let i(t) = t**3 + 9*t**2 + 9*t - 1. Let j(n) = -3*n**2 + 2*n + 1. Let s be j(2). Calculate the remainder when i(s) is divided by (-5)/120*15*-8.
4
Suppose 4*j = j + 36. Let x(o) = -o**2 + 14*o + 90. Calculate the remainder when x(18) is divided by j.
6
Let s be 36/(-396) + 1/11. Let h(g) be the second derivative of -g**5/20 - g**4/12 + 8*g**2 + g. Calculate the remainder when 29 is divided by h(s).
13
Let g = 15733 - 15197. Calculate the remainder when g is divided by 253.
30
Suppose 5*d = -5*c + 65, 2*d - 68 = -0*c - 5*c. Suppose c*v - 16*v + 30 = 0. Calculate the remainder when 21 is divided by v.
6
Suppose -4*k + 3*t = -597, 109*t - 7 = 110*t. Calculate the remainder when 4463 is divided by k.
143
Suppose 10915 = 5*a - 2*n, -5*n - 5423 = -5*a + 5507. What is the remainder when a is divided by 1085?
11
Suppose l = -2*g + 33, 6*g = -2*l + 3*g + 66. Let n = -807 + 831. What is the remainder when l is divided by n?
9
Suppose -2*i = 4*p - 218, 75 = 2*i + 3*p - 142. Suppose 146 = k - 4*x, -887 = -5*k - 5*x - i. What is the remainder when k is divided by 12?
10
Let f = -9799 - -9862. Suppose a + a - 734 = 4*l, 2*a = l + 746. Calculate the remainder when a is divided by f.
60
Let i(f) = -6*f**3 - 14*f**2 - 23*f - 93. Calculate the remainder when i(-8) is divided by 63.
62
Suppose 1750 = j - 2*u, -3*j + 5295 = 515*u - 512*u. Calculate the remainder when j is divided by 33.
11
Let l be (-3)/(-6) + 3/((-12)/(-22)). Suppose -l*w - 41 = -623. Calculate the remainder when w is divided by 1/(6/(-100))*84/(-70).
17
Let t(r) = r**3 + 4*r**2 + 4*r + 5. Let l(p) = p**3 - 35*p**2 + 66*p + 9. Calculate the remainder when l(33) is divided by t(-3).
1
Let n = 78 + -75. Suppose -n*p + 14 = -31. Calculate the remainder when 53 is divided by p.
8
Let j(i) = -19*i**3 - 8*i**2 - 8*i - 2. Calculate the remainder when 233 is divided by j(-1).
12
Let f(x) = 4*x**2 - 3*x + 1. Let z be f(1). Let m be (21 - -3)*((-22)/(-8) - z). Suppose 13*i - m*i = -40. What is the remainder when 77 is divided by i?
5
Suppose 0 = 11*z - 760 - 989. Calculate the remainder when z is divided by 1/(-2*2/(-36)).
6
What is the remainder when 89 is divided by 3/(-9) + 1 - (-3 + 26/(-6))?
1
Suppose -4*j + 355 = -5*j - 5*d, 363 = -j + 3*d. Let n = j - -427. What is the remainder when n is divided by 14?
11
Suppose 36*p - 33*p = 12, 16 = 2*n - 5*p. Calculate the remainder when 66 is divided by n.
12
Let f(w) = w**3 - 30*w**2 + 5*w + 29. Let l be f(30). Suppose 0 = 5*k - 20, 3*g + 0*k - 4*k - l = 0. Calculate the remainder when g is divided by 17.
14
Suppose -2*k - 6272 = -3*v, -5702 = -5*v - 3*k + 4802. What is the remainder when v is divided by 35?
31
Suppose -25*n + 12*n + 286 = 0. What is the remainder when (4/8)/(2/136) is divided by n?
12
Suppose -25*u + 21*u = -512. Suppose -2*i + u = 22. What is the remainder when 206 is divided by i?
47
Suppose 0 = 7*b - 97 - 78. Let g(w) = 2*w**2 - 136*w + 268. Calculate the remainder when b is divided by g(66).
1
Let m be (-5)/10 + (-2)/((-8)/(-26)). Let y(k) = k**2 + 7*k + 4. Let d be y(m). Suppose 8*f - d*f = 44. Calculate the remainder when 39 is divided by f.
6
Suppose 132786 - 25549 = 36*v + 77*v. What is the remainder when 3796 is divided by v?
0
Let a(k) = -2*k**3 - 40*k**2 + 7*k + 264. Calculate the remainder when 344 is divided by a(-20).
96
Let y(f) = f**3 + f**2 - 8*f + 22. Let l be y(0). Suppose 0 = 5*v - l*v + 153. Calculate the remainder when 22 is divided by v.
4
Let z be -12*(87/12 - 2). Let y(u) = -3*u**2 - 32*u + 13. Calculate the remainder when y(-10) is divided by (z/98)/(12/14)*-12.
6
Suppose 2*w - n - 7 = -3, 3*w = n + 4. Suppose w = g - 2 - 12. What is the remainder when (5/1)/(69/483) is divided by g?
7
Let q(t) = 38*t - 549. Let o = -1611 + 2306. Suppose o = 5*j + 180. What is the remainder when j is divided by q(15)?
19
Let b = -8811 + 9266. What is the remainder when 475 is divided by b?
20
Let l(d) = -d**3 - 22*d**2 - 23*d - 102. Let j be l(-21). Calculate the remainder when 79/3 - 40/j is divided by 25.
2
Suppose 7*h - 10 = 12*h, 2*p - 4*h - 1586 = 0. Let z = 878 - p. What is the remainder when 711 is divided by z?
88
Let v(i) be the first derivative of -i**3 - 7*i**2/2 - 16*i - 7. Let d be v(-7). Let p = -77 - d. Calculate the remainder when p is divided by 13.
11
Let q = -5743 + 6134. Calculate the remainder when q is divided by 63.
13
Let f(b) = 4*b**2 - 18*b + 30. Let l = -48 + 41. Let p(h) = 3*h**2 - 12*h + 20. Let u(j) = l*p(j) + 5*f(j). Calculate the remainder when u(-4) is divided by 10.
8
What is the remainder when ((20645/(-3))/(-1))/((930/36)/31) is divided by 70?
68
Let w(d) = 311*d - 3. Let b be w(1). Suppose -x - b = -15*x. Calculate the remainder when 52 is divided by 8/72*6*(x + -1).
10
Suppose -18*t + 17 = 215. Let r(f) = f**2 + 8*f - 23. Calculate the remainder when 85 is divided by r(t).
5
Let a(s) = -2*s**2 - 29*s + 3. Let x be a(-13). Let n = x + -76. Let t = -22 - n. Calculate the remainder when t is divided by 4.
0
Let m be 2/5 - (-398)/5. Suppose -32 = -3*s - 0*q - 2*q, 2*q + m = 5*s. Suppose 55*c - 123 = 317. Calculate the remainder when s is divided by c.
6
Let p(j) = -j**2 - 14*j + 3449. Calculate the remainder when 1/(-4) - (-385)/4 is divided by p(-66).
11
Let k(y) = 15*y**2 + 7*y - 4. Suppose 3*l = 4*n + 143, 0 = -344*l + 349*l + 3*n - 190. Calculate the remainder when k(5) is divided by l.
37
Suppose -4*o + m = -46 - 479, -630 = -5*o - 4*m. Calculate the remainder when 273 is divided by o.
13
Suppose 5*g + 45 = 7*g + 3*d, 2*g - 4*d - 24 = 0. Let k = g - -2. What is the remainder when 51 is divided by k?
11
Suppose 16*z - 200 = 9*z + 5*z. What is the remainder when 1588 is divided by z?
88
Suppose 4*h = 3*h + u - 11, 5*h = -3*u - 47. Let q be (h/(4 + 1))/((-1)/2). Suppose 0*o = -q*o + 84. Calculate the remainder when o is divided by 6.
3
Let r = -3338 - -3364. What is the remainder when 1398 is divided by r?
20
Let n = -266 - -280. Calculate the remainder when 112/((-1)/((-21)/n)) is divided by 58.
52
Suppose 2*k - 4*j = 38, k - 9*j - 34 = -4*j. Let r be (-1 + (2 - 2))*-3. Suppose 1062 = k*s - r*s. Calculate the remainder when s is divided by 18.
15
Suppose 3*d = -2*c + c + 21, 44 = 4*d - 4*c. What is the remainder when 15 is divided by d?
7
Let w(h) = -h**2 + 13*h + 32. Let y be w(15). Let r(c) = -3*c**2 + 1 + c**2 + 15*c**2 - y*c. What is the remainder when 45 is divided by r(1)?
9
Let j = -100 - -102. Let p(g) = 0*g - j*g - 3*g - 7 + 25. What is the remainder when 20 is divided by p(3)?
2
Let f = 59 + -40. Suppose 458 = 8*o - 942. Let d = o + -81. What is the remainder when d is divided by f?
18
Suppose 5*y = 3*z + 624, 4*y - 8*y + z = -495. Let x = y + -65. What is the remainder when 287 is divided by x?
55
Suppose 4*h - w = 13, h = -0*h - 3*w - 13. Calculate the remainder when 0/(h + -4) - (-33 - -6) is divided by 3*8/36*15.
7
Suppose -88*i - 75 = -177*i + 86*i. What is the remainder when 90 is divided by i?
15
Let c(i) = i**3 + 20*i**2 + 22*i - 200. Calculate the remainder when 467 is divided by c(-18).
51
Let b(c) = c**2. Let n be 7/(-14) - 4/((-8)/9). Suppose 276 - 112 = n*k. What is the remainder when k is divided by b(4)?
9
Suppose 2*x + 261 - 265 = 0. Suppose s - 244