ulate the remainder when i is divided by v.
10
Suppose 174*g - 4*m + 27 = 175*g, 0 = 5*g - 5*m - 210. What is the remainder when g is divided by 9?
3
Let s = -9 - -15. Suppose -3*u + s*u = 135. Suppose -75*t = 59*t - 23852. What is the remainder when t is divided by u?
43
Let m(l) = 13*l - 139. Let o be m(11). Suppose 0 = -o*b + 92 - 16. What is the remainder when 73 is divided by b?
16
Let x = -2791 + 2822. What is the remainder when 5824 is divided by x?
27
Suppose -5*w - 5*m = -5335, 0 = -15*m + 14*m + 5. What is the remainder when w is divided by 47?
28
Let u = 24930 - 20853. Calculate the remainder when u is divided by 15.
12
Suppose 0 = 2*f - 2, 4*f = 4*g - 155 - 17. Calculate the remainder when (-2)/20*4 + 3/((-210)/(-6118)) is divided by g.
43
Let d = 2363 + -1424. Calculate the remainder when d is divided by 45.
39
Let a(q) = -q**3 + 6*q**2 + 4. Let p be a(6). Suppose -46 = -p*n - 2*u + 70, 2*u = -5*n + 145. Calculate the remainder when n is divided by 2.
1
Calculate the remainder when (-306)/204 + (-16118)/(-4) is divided by 126.
122
Suppose 24*w = 23*w - 5, -75 = -5*i + 5*w. What is the remainder when 5657 is divided by i?
7
Let m be 4*((-3)/1 + 40). Let h = m + -133. Calculate the remainder when 74 is divided by h.
14
What is the remainder when ((-24 - 19) + 3201)*1/2 is divided by 391?
15
Let s(p) = -23*p**3 - 4*p**2 - 7*p - 2. Suppose 0 = -3*r - 5*n - 13, 5*r + 10 + 3 = -4*n. What is the remainder when 33 is divided by s(r)?
9
Let g = 96 + -115. Let j be (8/10)/(g + 17)*-20. Suppose 10*o - j*o - 32 = 0. Calculate the remainder when 77 is divided by o.
13
Suppose -11 = -5*j + 4, -3*j + 214 = 5*s. Suppose 7*i - 15 = s. Calculate the remainder when 87 is divided by i.
7
Let m = -2 + 91. Calculate the remainder when m is divided by (-3 - (38 - 36)) + 3*10.
14
Let p = -87 + 86. Let t be 17/51*(10 + -1)*p. What is the remainder when 69 is divided by ((-18)/5)/(-1)*(-10)/t?
9
Let n(s) = 4*s**2 - 82*s + 178. What is the remainder when 246 is divided by n(2)?
6
Suppose -862*a + 848*a + 14546 = 0. What is the remainder when a is divided by 28?
3
Calculate the remainder when 117 is divided by 30/345 - 6612/(-138).
21
Suppose 2*g + 3*q - 3 + 2 = 0, 4*g = 3*q + 11. Suppose -4*k - 5*b = -28, -7*b = -5*b. What is the remainder when 19 - 10/2*g/5 is divided by k?
3
Let b = -15452 - -15855. What is the remainder when b is divided by 110?
73
Suppose 0 = -312*d + 313*d + 6. Calculate the remainder when 96 is divided by 15/d*-13 + 3/6.
30
Let c = 3247 + -3088. Calculate the remainder when 2063 is divided by c.
155
Suppose -285 = -28*i + 23. Suppose 0 = 4*a - 3*u - 102 + i, -108 = -5*a - 2*u. What is the remainder when 124 is divided by a?
14
Let f be (-1)/4 - (-5)/(20/(-2547)). Let i = f - -673. Let a(x) = -x**2 - 11*x - 9. Calculate the remainder when i is divided by a(-7).
17
Let b be 15*(32/(-6) - -4). Let m be b/30 + (-2)/(-3). Suppose 0 = -5*o - 2*v - m*v + 73, o - 5*v = 20. What is the remainder when 57 is divided by o?
12
Suppose -775 + 4774 = 43*n. What is the remainder when 1565 is divided by n?
77
Let s(w) = 11*w**2 + 2*w + 5. Suppose 3*v + 18 = 2*i + 117, -2*i = 12. What is the remainder when s(-4) is divided by v?
28
Let j(o) = o**3 + 12*o**2 - 56*o - 65. Calculate the remainder when j(-15) is divided by 34.
32
Suppose 0*t + 5*j = t + 10, -4*t - 2*j = -70. Calculate the remainder when -10*(4 + (-576)/90) is divided by t.
9
Suppose -2*o + n + 46 = 0, o = -5*n + 10 + 35. Suppose -4*k - 32 - 13 = -5*i, -i = -4*k - o. Calculate the remainder when (8 - i)*16/3 is divided by 6.
4
Let j be ((0 - -3) + -6)*-1. Suppose j = -p + 2*m, 8 = 4*m - 4. What is the remainder when 17 is divided by p?
2
Let k = 3612 + -3241. Calculate the remainder when k is divided by 22.
19
Let w = -9246 - -11075. What is the remainder when w is divided by 46?
35
Suppose -5*f - 63 = -2*k, 9*k = -3*f + 4*k - 13. Let z(m) = m**2 - 18*m - 284. Calculate the remainder when 169 is divided by z(f).
29
Let t = 94 - 91. Suppose -3*g = g - t*c - 173, g - 5*c = 56. Let i = 27 + g. Calculate the remainder when i is divided by 12.
8
Suppose -2*f = 3*f - 215. Let m = -192 + 80. What is the remainder when f is divided by 2/(-14) + (-1808)/m?
11
Let s(b) = -51*b - 4. Suppose 5*j = -2*u + 55, -28*u = -32*u + 4*j + 96. What is the remainder when s(-2) is divided by u?
23
Suppose -56783 + 202769 = 174*m. What is the remainder when m is divided by 175?
139
Calculate the remainder when 638 is divided by (-4)/(5548/8208 - (-3)/(-4)).
44
Let c = -9741 + 9957. Let j(w) = -6*w**3 + 3*w**2 + 2*w + 3. Calculate the remainder when c is divided by j(-2).
39
Suppose 3*v + 3 = -3*s, 3*s + 4*v = 6*s + 10. Let p = -246 - -373. What is the remainder when p is divided by (-3)/(-6)*s/3*-78?
23
Suppose 2*z + 3 - 11 = 0. Suppose 0 = -5*f + q + z*q + 40, 0 = 2*f + 2*q + 4. Calculate the remainder when 19 is divided by f.
1
Calculate the remainder when 3674 is divided by 406/14 + -24 - (1 + -1).
4
Let y = 10012 - 10008. Suppose 2*r + 4 = 0, 0 = 5*t - 4*r - 52 - 31. Calculate the remainder when t is divided by y.
3
Suppose -13*n + 69 - 95 = 0. Calculate the remainder when (-45208)/(-40) + n/10 is divided by 103.
100
Let k(h) be the first derivative of h**4/4 - 5*h**3/3 + 5*h**2/2 - 7*h - 2. Let p = 28742 - 28734. What is the remainder when k(5) is divided by p?
2
Suppose 2*z + 23 - 63 = 0. Let j(l) = 36*l - 198. Calculate the remainder when j(8) is divided by z.
10
Let j(p) = -2*p + 58. Let y be j(-16). Suppose 87*g - y*g + 72 = 0. Calculate the remainder when 167 is divided by g.
23
Suppose a = 2*a + 4. Let r(q) = -43*q - 13. Let i(s) = -5*s - 15. Calculate the remainder when r(a) is divided by i(-7).
19
Let m = 176 - 92. What is the remainder when m is divided by (-80)/(-420) + 19006/546?
14
Let k(b) = -7*b - 27. Let w be k(-5). Suppose c - 81 = -w*c. What is the remainder when 24 is divided by c?
6
Let x(c) = -279*c - 16. Let z be x(1). Let y = z - -364. What is the remainder when y is divided by 26?
17
Let p(j) = 6*j**3 - 472*j**2 - 147*j + 339. Calculate the remainder when p(79) is divided by 72.
56
Let j(b) be the third derivative of 77*b**5/20 + b**4/24 + b**3/3 + b**2. Let l = 141 - 94. Calculate the remainder when j(-1) is divided by l.
44
Suppose 3*o + 67 = 4*w + 221, -5*w + 10 = 0. Suppose -260 = -9*r + 145. What is the remainder when o is divided by r?
9
Suppose 130*i - 109*i = 63. Let y(r) = 2*r**3 + 2*r**2 - 5*r - 19. Let c(t) = -36*t + 3. Calculate the remainder when c(-3) is divided by y(i).
35
Suppose 47*l - 61*l - 81*l = -5225. What is the remainder when l is divided by 26?
3
Suppose -40*b = -783 - 217. Let u = 324 - 229. Calculate the remainder when u is divided by b.
20
Let k(g) = -9*g - 4*g - 2 + 12*g + 0. Let a be k(-7). Calculate the remainder when -8*3/a*(1 - 6) is divided by 9.
6
Let d(j) = -1 + j - 10*j**3 - 2*j + 0*j + 0. Let z be d(-1). Suppose z*g - 72 = 128. Calculate the remainder when 78 is divided by g.
18
Suppose 412 = 4*l - 44. Let y(c) = -2*c**2 + 3*c + 16. Let s be y(-2). What is the remainder when l is divided by 1 + (17 - -3) + s?
22
Suppose 0 = 4*s + 3*y - 7321, -2*s - 65*y + 64*y + 3663 = 0. What is the remainder when s is divided by 376?
330
Let u(h) = h - 2. Let s be u(6). Suppose l - 2 = s. What is the remainder when ((-116)/12 - -5)*((-8)/2 - 2) is divided by l?
4
Suppose 9169 = 48*z - 671. What is the remainder when z is divided by 63?
16
Let k = 19024 - 18998. What is the remainder when 2/4 + (-91)/(-2) is divided by k?
20
Suppose -3369 = 3*f + 5*y, -3*f - 2913 = 4*y + 453. What is the remainder when 1*(f/(-7) - 4/(-14)) is divided by 51?
7
Let x(i) be the third derivative of 5*i**4/12 - i**3/6 + i**2. What is the remainder when x(2) is divided by 48/160 - ((-6)/(-87) - (-2186)/(-580))?
3
Suppose -13*g = -1789 + 476. Let b = g - 63. What is the remainder when 135 is divided by b?
21
Suppose -36*q = -173*q + 10686. Calculate the remainder when 249 is divided by q.
15
Let f(b) = -184*b - 6. Calculate the remainder when f(-1) is divided by 71.
36
Suppose 0 = -5*g + 4*m + 109, 3*m = g - 22 - 2. Let f = 2923 - 2909. What is the remainder when g is divided by f?
7
Let z be 2*((-154)/(-4))/11. Let q be ((-2)/(-6))/(19/1197). Let j = q - z. Calculate the remainder wh