ppose 0 = -11*n - 5 + 49. Suppose 2*z = 4*z - n, 5*z - 16 = -w. Suppose c - w = -0*c. Calculate the remainder when c is divided by 6.
0
Let b be 6/27 + 0 - 784/126. Suppose 2*w = -3*w + 65. Calculate the remainder when w is divided by b*8/12*(-30)/24.
3
Let j be (6 - 7)*2/(-1). Suppose 4*z - 2*u = 3*z + 14, -j*z + u + 16 = 0. Let y = -24373 - -24378. Calculate the remainder when z is divided by y.
1
Calculate the remainder when 380 is divided by (-18)/12*-114 + 20.
189
Suppose -3*t - 3*d = -0*d - 378, -4*d - 413 = -3*t. Suppose -11*j + 9*j + 134 = 2*c, 2*c + 3*j - t = 0. Calculate the remainder when c is divided by 8.
6
Suppose -2*p - 4*z = -30, 2*z = -4*p + 12 + 48. What is the remainder when 726 is divided by p?
6
Let j be (19 + -21)/(2/21). Calculate the remainder when 150 is divided by (8/(-14))/(j/294).
6
Let j = 192 - -127. Let y = j - 288. Calculate the remainder when 154 is divided by y.
30
Let m(q) = -q**3 + 17*q**2 - 14*q - 30. Let c be m(16). Suppose 2*j - j - c = 0. Let p = 13 - 6. Calculate the remainder when p is divided by j.
1
Calculate the remainder when 5/(15/(-2))*-447 is divided by ((-12)/21 + 4 + 52/(-56))*8.
18
Suppose -14*s - 519 = -12*k - 15*s, -203 = -5*k + 4*s. Calculate the remainder when 425 is divided by k.
38
Let s = 277 - -718. Calculate the remainder when s is divided by 74.
33
Suppose -11 = -5*j + 4. Suppose 108 = j*x + 33. Let z = 1 + x. Calculate the remainder when 74 is divided by z.
22
Suppose -61 = 12*g - 229. Suppose 199 = -2*b - 413. What is the remainder when (b/9)/((-2)/2) is divided by g?
6
Suppose -5*q + 21 = p, 2110*p - 9 = -q + 2109*p. What is the remainder when 3965 is divided by q?
2
Let k(w) = -w**3 + w**2 + w + 3. Suppose -a = c - 9, 13 - 43 = 5*a. What is the remainder when k(-3) is divided by c?
6
Suppose 34 = -4*v + 6*v + 5*h, 55 = 5*v + 5*h. Suppose -3*q + v*q + 16 = 0, -129 = -5*s + q. What is the remainder when 115 is divided by s?
15
Suppose -3*n + n + 74 = 0. Calculate the remainder when n is divided by (885/(-1593))/(1/(-9)).
2
Let r = 235 + -74. Let i = r - 156. What is the remainder when 44 is divided by i?
4
Suppose 0 = 299*t - 306*t - 7. Let i(m) = -99*m + 4. What is the remainder when 109 is divided by i(t)?
6
Let j(l) = -l**2 - l + 25. What is the remainder when j(0) is divided by 408/(-16)*(-5)/45*(-36)/(-6)?
8
Suppose 4*z = u + 35, 5*u + 39 = 5*z - 16. Suppose 17*c = 19*c - z. Suppose -2*x - 2*n + 0 = -10, 70 = 5*x - 4*n. What is the remainder when x is divided by c?
2
Let t(a) = 13*a**2 + 23*a + 3. Let k = -736 - -734. Calculate the remainder when 106 is divided by t(k).
7
Suppose 3*c = -5*j + 648, -25*j + 20*j + 646 = c. Calculate the remainder when 652 is divided by j.
7
Suppose 3*r - r = -3*p + 54, 3*r - 4*p - 81 = 0. Suppose -6*x - 5*j + 144 = -5*x, 3*j - 654 = -5*x. What is the remainder when x is divided by r?
21
Let g(r) = 4*r + 88. Suppose -4*y - d + 34 = -0*y, 2*d = -2*y + 20. What is the remainder when g(-7) is divided by y?
4
Suppose -2*w - 2*j = -8, 3*j + 196 = -5*w + 228. Calculate the remainder when 807 is divided by w.
7
Let w be -1 + (-34 + 1 - (3 - 7)). What is the remainder when 56 is divided by w*(-18)/(-81)*36/(-10)?
8
Let u(i) = -10*i**3 - 2*i**2 - 4*i - 5. Let a(h) = -h - 2. Let m be a(3). Calculate the remainder when u(-2) is divided by (-19)/(m/(2 - -3)).
18
Let o(d) = 12*d - 50. Let z be o(8). Let b = z + -38. Calculate the remainder when 214 is divided by b.
6
Let j be (-5 + (2 - -3) - 4)/(-2). Suppose 2*z - 6 = 0, 0 = 4*c + j*z - z - 163. Calculate the remainder when c is divided by 11.
7
Let c = 187 + -115. Let q = -45 + c. Let n = 22 + 26. What is the remainder when n is divided by q?
21
Let o be (-6)/(-9) - (-19)/3. Suppose 0 = -3*m + o*m - 188. Suppose 7*w + 0 = 175. What is the remainder when m is divided by w?
22
Let c = 102 - 44. Suppose -c = -o - 5*n, o = 6*o + 4*n - 185. Calculate the remainder when 160 is divided by o.
28
Calculate the remainder when 4 - (-288)/1 - -6 is divided by 98.
4
Let i = -63 + 80. Let q = -14 + i. Suppose 0 = -q*v + 154 - 25. Calculate the remainder when 171 is divided by v.
42
Suppose 9*n = -12*n + 63. Calculate the remainder when 79 is divided by 1/n - 87/(-9).
9
Let m = -64 + 100. Suppose 26*a + 150 = m*a. Calculate the remainder when a is divided by 3*((-16)/(-4) - 1).
6
Let j(i) = -2*i + 1. Let g be j(-2). Suppose 7*o - 30 - g = 0. Suppose n - 54 = -o*z, 0*z + 49 = 4*z - 5*n. Calculate the remainder when 31 is divided by z.
9
Let b(l) = 2*l**2 + 262*l - 1336. Calculate the remainder when (-2 - -29)*(-1 + 6) is divided by b(5).
15
Let f be 2/(-9) + 2529/81. Suppose 49 = 3*i + f. Let c(k) = 2*k**2 - 8*k + 1. What is the remainder when 97 is divided by c(i)?
22
Let k(y) = y**3 - 25*y**2 + 20. Let b be k(25). Suppose -2*r + b = 2. Calculate the remainder when 61 is divided by r.
7
Suppose k = x - 137, 0 = 5*x - 17*k + 22*k - 675. Calculate the remainder when 466 is divided by x.
58
Let o(w) = 2*w**3 - 2*w**2 + 90*w - 180. Suppose 4*h + 4*n = 5*n + 687, 0 = h - 5*n - 186. Calculate the remainder when h is divided by o(2).
3
Let w = -2395 - -3675. Suppose 18*a = 2*a + w. What is the remainder when a is divided by 23?
11
Let j(r) = -3*r - 6. Let h be j(-3). Let u be ((-21)/5 + h)/(5/(-50)). Suppose -1661 = -u*z + 367. Calculate the remainder when z is divided by 43.
40
Let k(l) = -2*l**3 + 3*l**2 + l. Let f be k(-1). Suppose -236 = -f*a + 2*a. Calculate the remainder when a is divided by 25.
18
Suppose -3*n - n = 32. Let h(f) be the first derivative of f**4/4 + 8*f**3/3 + 12*f - 170. Calculate the remainder when 59 is divided by h(n).
11
Suppose -6*n = -2*n - 76. Let h be 2/(-14) - ((-215)/35 + 3). Suppose 18 = 3*t - 6*l + 3*l, -12 = -3*t - h*l. Calculate the remainder when n is divided by t.
4
Let o = 187 + -69. Suppose o = 2*y - 2*p, p + 4*p = 3*y - 167. What is the remainder when y is divided by 24?
16
What is the remainder when 1301 is divided by (930/(-24))/((-20)/16)?
30
Suppose 134*q - 71*q - 2664 = -85*q. Let a(y) = 69*y + 1. Let r(i) = i**2 + 7*i - 7. Let t be r(-8). What is the remainder when a(t) is divided by q?
16
Suppose -p + 3*z = -4*p + 21, 3*p + z - 13 = 0. Suppose 0 = -g - 4*q + 29, -25 = -5*g + 2*q + 2*q. Calculate the remainder when g/2*(-10 - -12) is divided by p.
0
Calculate the remainder when 4 + -3 + 1 - 388/(-6)*12 is divided by 11.
8
Let l(w) = 16*w**2 - 45*w - 140. Calculate the remainder when 882 is divided by l(-4).
290
Let d(m) = m**2 - 71. Let c be d(9). Suppose 0*k - k + 227 = 0. What is the remainder when k is divided by 464/c - 18/45?
43
Suppose 5*r - 216 = 3*t, 9*r + 56 = 10*r + t. Let y be 18/5 + 6/15. Suppose -y*w + 5*w - 10 = 0. What is the remainder when r is divided by w?
8
Suppose 0*r - 24546 = -56*r - 3882. Calculate the remainder when r is divided by 73.
4
Suppose 2*p + 3 = 3*p. Let a(i) = -9*i + 510. Let r be a(4). Calculate the remainder when p/(-4) - r/(-24) is divided by 4.
3
Calculate the remainder when 270/5 + ((-21)/(-1))/7 is divided by 33.
24
Let s = -177 + 182. Suppose -a = s*v - 78, -5*a - 9*v + 4*v + 370 = 0. What is the remainder when a is divided by 27?
19
Let u(r) = 121*r**3 + 7*r**2 - 9*r + 2. Calculate the remainder when 585 is divided by u(1).
101
Let z(m) = 5*m + 168. Let g = 37 + -30. Calculate the remainder when z(-31) is divided by g.
6
Suppose 27*n - 760 = 7*n. What is the remainder when 1861 is divided by n?
37
Let b = 12921 - 12918. What is the remainder when 200 is divided by b?
2
Suppose 0 = -n + 3*n - 32. Suppose n = 3*z - z. Let r(a) = -4*a**3 + 260*a**2 + 2*a - 75. What is the remainder when r(65) is divided by z?
7
Let g(q) = 9*q + 27. Calculate the remainder when g(5) is divided by 50 - 1 - (-199 - -187).
11
Let b(k) be the first derivative of -4*k**3 + k**2 + 1. Let o be b(-3). Let y = -25 - o. Calculate the remainder when y is divided by 13.
11
Let o be ((-9873)/4)/3 - (-3)/(-12). Let b = -771 - o. Calculate the remainder when b is divided by 41.
11
Suppose -2*c - c = -459. Let w = -141327 + 141341. Calculate the remainder when c is divided by w.
13
Suppose 0*k - 70 = -14*k. Suppose 4 = 2*v - 3*z, -k*z + 9 = -1. Let p = 3 - -2. What is the remainder when v is divided by p?
0
Let a = 52 - 39. Let o = 52 + -22. Let h = o + 6. Calculate the