(-8))/(14/28).
6
Let m be (35/10)/((1/(-4))/(-1)). Suppose -r - 4 = 5*s - 4*s, 0 = -2*r - 4*s - m. What is the remainder when 46 is divided by 11*(r + 2) - -1?
10
Suppose 0*z - 8*z + 11384 = 0. Let g = z - 819. What is the remainder when g is divided by 76?
72
Suppose -s = 5*u - 24, -5*u + 3*u = 2*s - 16. Suppose w - 25 = -4*f, -5 = -f - f + w. Suppose 225 = f*j + u*j. Calculate the remainder when j is divided by 13.
12
Suppose 0 = -32*x + 8*x + 51840. Suppose -18*r + x = -522. What is the remainder when r is divided by 25?
24
Suppose 4*y - 9*y - 73 = b, 3*y + 3*b + 51 = 0. Calculate the remainder when 15/35 - 344/y is divided by 7.
4
Let s(k) be the third derivative of k**5/60 + 9*k**4/8 - 67*k**3/6 - k**2 + 9. What is the remainder when s(-33) is divided by 46?
39
Calculate the remainder when (-302)/((((-147)/(-14))/(-21))/(11/4)) is divided by 409.
25
Let o(y) = -2 - 14*y - 4 + 3. Suppose -2*k - 82 = -98. What is the remainder when o(-4) is divided by k?
5
Let d(c) = -256*c + 14523. Let o(u) = 4*u**3 - 3*u**2 + 2*u - 1. What is the remainder when d(56) is divided by o(3)?
15
Let h(z) = -7*z - 32. Let b be h(-7). Suppose 16 = -13*j + b*j. Suppose 84 = a - 5*r + 19, -3*a + j*r = -173. What is the remainder when a is divided by 14?
13
Suppose -8 = 2*d, 3*p - p + 4*d + 316 = 0. Let r(h) = h**3 - 4*h**2 - 29*h + 13. Let c be r(9). Let g = c + p. What is the remainder when 27 is divided by g?
6
Suppose 450*x = 451*x + 5*w - 167, -4*w + 24 = 0. Calculate the remainder when 310 is divided by x.
36
Suppose g - 2*r + 63 = 4*g, 21 = g - 2*r. Calculate the remainder when 116 is divided by g.
11
Let i(t) = -15*t + 1511. What is the remainder when 22253 is divided by i(99)?
23
Let p(j) = 7*j + 1. Let i be p(-2). Let x = i + 20. Let r(g) = -g**3 + 9*g**2 + 4*g - 10. What is the remainder when r(x) is divided by 40?
36
Suppose 6*i - 8 = 2*i. Suppose -2*t - 3*y + 87 = i*y, -249 = -4*t + 5*y. What is the remainder when t is divided by 108/11 - 9/((-495)/10)?
6
Let v(p) = p**3 - 17*p**2 + p + 1. Let o(l) = -10*l - 23. Let g be o(-4). What is the remainder when v(g) is divided by 10?
8
Let o(a) = -25*a - 24*a - 31*a - 80 + 74*a. What is the remainder when o(-19) is divided by 9?
7
Let d = 25 + -21. Suppose 3*i + 19 = 5*a, 3*a = -d*i - 0*a - 6. Calculate the remainder when (-71)/(-4) - (i + (-33)/(-12)) is divided by 8.
2
Let j(b) = -2*b**3 + 14*b**2 - 3*b + 23. Suppose 0 = 3*g + 5*c - 294, -5*g + 6*g + 5*c = 98. What is the remainder when j(5) is divided by g?
10
What is the remainder when 464 is divided by 4/((-24)/(-705)) - (-19)/38?
110
Let a(x) = x**3 + 98*x**2 - 203*x - 259. Suppose -4*h + 4*w + 0*w + 92 = 0, -h + 2*w + 27 = 0. What is the remainder when a(-100) is divided by h?
3
Let b(t) = t**3 + 24*t**2 + 24*t + 28. What is the remainder when 562 is divided by b(-23)?
2
Calculate the remainder when 28/((-560)/(-10995))*(-4)/(-3) is divided by 44.
29
Suppose 3*r + 26 + 10 = i, -4*r = -3*i + 143. What is the remainder when 2848 is divided by i?
55
Let k = 42 - 42. Suppose k = 9*h - 13*h + 372. Suppose 4*g = 4*i - 120, -g - 4*g + h = 4*i. What is the remainder when 50 is divided by i?
23
Let m = 7476 - 6210. What is the remainder when m is divided by 33?
12
Let u = 229 + -225. Suppose 4*g = -2*h + 24, -u*g - 4 = -9*g + 4*h. Calculate the remainder when 109 is divided by g.
1
Suppose -5*x = -253 - 187. Suppose x*j - 62*j - 104 = 0. Calculate the remainder when 93 is divided by j.
1
Suppose 7*l = 4*l - 2*x + 30, 5*x = 0. Suppose 36*d - 1590 = -17*d. Suppose -17*p + d + 55 = 0. Calculate the remainder when l is divided by p.
0
What is the remainder when 23 is divided by 8/88 - (-1576)/88?
5
Suppose 1347 = 10*m + 7*m - 5096. What is the remainder when 1134 is divided by m?
376
Let z be (20/(-8))/((-10)/148). Suppose -z*a - 20 = -39*a. What is the remainder when 17 is divided by a?
7
What is the remainder when 298 - 50 - (-1 + -3) is divided by 249?
3
Let r = -19917 + 20051. What is the remainder when 138 is divided by r?
4
Let f = 25 - 15. Suppose -212*x + 114*x + 4807 = 111*x. Calculate the remainder when x is divided by f.
3
Let z = 131 + -105. Let w(n) = n**2 - 19*n + 159. What is the remainder when w(6) is divided by z?
3
Suppose -9 = -3*a, 7*x = 5*x - a + 195. Suppose -4*f + x = -24. Calculate the remainder when 55 is divided by f.
25
Let v = 12 + -8. Suppose 4*c + 5*p - v*p = 0, 0 = 2*c + p - 2. Let h(n) = -20*n - 4. Calculate the remainder when 29 is divided by h(c).
13
Let h(n) = 3*n**3 + 2*n**2 - 6*n - 3. Let r be h(-3). Let l be (r/40)/((-3)/130). Let a = l - 46. Calculate the remainder when 28 is divided by a.
4
Suppose 3*a - 8*a + 70 = -4*u, u - 56 = -4*a. What is the remainder when 1215 is divided by a?
11
Suppose -3*o + 1047 = -j, -8*j = -o - 7*j + 347. Suppose -280 = -4*w + a, 10*a - o = -5*w + 5*a. What is the remainder when w is divided by 6?
4
Suppose 2926 = 16*v + 1982. Let u = -824 - -1413. Calculate the remainder when u is divided by v.
58
Let d(k) = -3*k - 1. Suppose -92 = 18*m - 20*m. Let s = 86 - m. What is the remainder when s is divided by d(-5)?
12
Suppose 257*i - 1317 = 8691 + 3099. Calculate the remainder when 182 is divided by i.
29
Let y = 555 + -308. Suppose -24*g = 73 - 313. Calculate the remainder when y is divided by g.
7
Suppose -2*c = 16*m - 19*m + 155, 5*m + 5*c = 300. Let b = m + -28. Calculate the remainder when 263 is divided by b.
20
Let z be (-5*(-4 + 7))/((-3)/16). Suppose -3*q = 2*t + q - 74, 0 = -2*t + 2*q + z. What is the remainder when 40 is divided by t?
1
Suppose -1169*u + 1171*u - s - 20 = 0, -4*u - s + 16 = 0. Let y = 25 - -6. What is the remainder when y is divided by u?
1
Suppose -19*o + 108 = 13. Suppose 0 = -i - 3, -o*q + i + 208 + 35 = 0. What is the remainder when 68 is divided by q?
20
Suppose 20*n = 25*n - 40. Suppose 48 = 10*x - n*x. Suppose 0*d + 186 = 2*d. What is the remainder when d is divided by x?
21
Let q = -3244 + 3897. Calculate the remainder when q is divided by 9.
5
Let b(q) = -12*q - 101. Let p be (-5 - 36/(-8))/(2/36). What is the remainder when 139 is divided by b(p)?
6
What is the remainder when -2*(-35)/(-14) - (-2 + -812) is divided by 14?
11
Suppose 132*k - 136*k + 2*q = -1018, 5*k + 3*q = 1245. What is the remainder when k is divided by 26?
18
Suppose 6174*c - 6162*c = 5484. What is the remainder when 467 is divided by c?
10
Suppose 24 = 4*r, 6 - 204 = -16*v - r. What is the remainder when 155 is divided by v?
11
Suppose 4*w = 5*c + 23864 - 6928, -2*c = 2*w - 8486. What is the remainder when w is divided by 101?
98
Suppose -28 = -4*s + 2*s. What is the remainder when 4858/22 - (-112)/616 is divided by s?
11
Suppose 0 = -4*h + 415 - 19. Let y = -69 + h. Let s = -23 - -40. Calculate the remainder when y is divided by s.
13
Let z(y) = -y**3 - 20*y**2 + 386*y + 117. What is the remainder when 7419 is divided by z(-32)?
52
What is the remainder when 5/(-2)*(-4)/(-7)*-1757 is divided by 14?
4
Let h = 15 - -2. Let c(d) = -d**3 + 11*d**2 + 5*d + 7. Let b be c(12). What is the remainder when (-18)/2*b/21 - 2 is divided by h?
14
Suppose -3*f - f + 288 = 0. Calculate the remainder when f is divided by 12 + (28/84)/(2/162).
33
Suppose 0 = -11*j + 2216 + 2646. Suppose -251 = -9*o + j. Calculate the remainder when o is divided by ((-24)/2)/(6/(-8)).
13
Let x be (-4)/2*(2 - 2/(-1)). Let j = x - -519. Calculate the remainder when j is divided by 64.
63
Let b be ((-1722)/(-28))/((-1)/(-4)). Suppose 168 = 4*h + 4*a, 0*a - b = -5*h + 4*a. What is the remainder when h is divided by (-2*(-2)/(-5))/((-5)/75)?
10
Suppose -5*j + 77 - 42 = 0. Suppose -5*m + 6*f = 2*f - 222, 180 = 4*m - 2*f. What is the remainder when m is divided by j?
4
Let z be (-10)/4*52/(-65). Calculate the remainder when 107 is divided by (-1)/(z*1/(-62)).
14
Calculate the remainder when (-1*1 - -2)/(2152/3251672) is divided by 44.
15
Suppose -y - 5*u + 3619 = 0, 2009 - 9299 = -2*y + 3*u. What is the remainder when y is divided by 104?
103
Suppose 0 = z - 2*y - 66, -8*z = -9*z - 3*y + 46. What is the remainder when 746 is divided by z?
50
Let o be -2 + -5 + (-10 - -9). What is the remainder when o/20*(-5820)/24 is divided by 35?
27
Suppose 2*q + 0*q + 5*w = -145, -q = w + 65. Let n = -236 - -249. What is the remainder when 347/1