27
Suppose -4*b + 13 - 9 = 0, -4*b - 1452 = -4*z. Calculate the remainder when z is divided by 27.
13
Suppose -5011 + 247 - 197 = -121*t. Calculate the remainder when (-2)/6 + (-705)/(-9) is divided by t.
37
Suppose 407 = 4*o + q, -893*o - 3*q - 496 = -898*o. Calculate the remainder when 242 is divided by o.
40
Let f(g) be the third derivative of g**4/8 + g**3/3 - g**2. What is the remainder when f(3) is divided by 3 - (-20 + 26) - 18/(-1*2)?
5
Let l be 5*(-95 + -2)*33/55. Let w = 385 + l. Calculate the remainder when w is divided by 29.
7
Let t(h) = h**2 + 3*h - 50. Let w = -388 + 394. What is the remainder when 195 is divided by t(w)?
3
Suppose 3*q + 4*f = 100, -45*q + 3*f = -49*q + 138. What is the remainder when 201 is divided by q?
21
Suppose -4*a - 15 + 55 = 0. Calculate the remainder when 12 is divided by 2/(-5) - 1/(a/(-54)).
2
Suppose 15*t - 1522 = -487. Let v = -6 + 9. Let h = v + 33. Calculate the remainder when t is divided by h.
33
Let h(f) = f + 41. Let i be h(4). Suppose -4*m + 72*l = 75*l - 57, -5*m = -5*l - i. Suppose 0*b - 88 = -2*b. What is the remainder when b is divided by m?
8
Let j(a) = -a**3 + 5*a**2 + 3*a + 3. Let z be j(7). Let b = z - -25. Let k = 52 + b. Calculate the remainder when 17 is divided by k.
2
Suppose -27 = 41*v - 519. What is the remainder when 6670 is divided by v?
10
Suppose 362*d - 2*i + 698 = 365*d, 2*d - 470 = -2*i. What is the remainder when 10939 is divided by d?
223
Suppose -15 = -5*g, 237 = 5*d - 20*g + 19*g. Let i(r) = 56*r**3 - r**2 - r + 1. Let a be i(1). Let f = a - d. Calculate the remainder when 18 is divided by f.
4
Suppose -35*s + 8 = -34*s - y, -y = -2*s + 16. What is the remainder when 1567 is divided by s?
7
Let m = -100 - -101. What is the remainder when 31 is divided by 14/6*(m + 2)?
3
Suppose 41 = -40*f + 241. Suppose l - 3*a = 43, f*a - 51 = -36. What is the remainder when 149 is divided by l?
45
Suppose n - 109 = 217. Calculate the remainder when 1643 is divided by n.
13
Let j be (500/75)/((-2)/(-84)). Let c = -265 + j. What is the remainder when 42 is divided by c?
12
Let l(o) = 53*o + 1296. Calculate the remainder when l(13) is divided by 395.
10
Suppose 1876 - 15506 = -94*r. What is the remainder when 546 is divided by r?
111
Let c(k) = k**3 + 27*k**2 - 36*k + 33. What is the remainder when c(-25) is divided by 104?
103
Let n = -166 + 271. Suppose 0 = 3*f + 2*f - n. Let v(j) = 19*j - 167. What is the remainder when f is divided by v(9)?
1
Let l be (13/(-3) - -1)/(220/330). Let b be (-1054)/(-10) - (-4)/(-10). What is the remainder when 12 is divided by 1/l + b/25?
0
Suppose -2*g + 11760 = 12*g. Let m = g + -815. Calculate the remainder when m is divided by 10.
5
What is the remainder when (-12)/14 + ((-52820)/(-14) - -10) is divided by 11?
9
Let m = 543 - 335. Suppose 6*f + m = 10*f. What is the remainder when f is divided by 5?
2
Suppose 31*a - 35*a + l = -5473, 3*l - 2719 = -2*a. Calculate the remainder when a is divided by 196.
191
Let q = 714 + -550. What is the remainder when 469 is divided by q?
141
Let p(j) = -j**2 + 8*j**2 - j**3 + j**2 + 2*j**2 - 15 - 7*j. Calculate the remainder when p(4) is divided by 11.
9
Let v(i) = -i**2 - 9*i - 18. Let q be v(-6). Suppose -5*c + 113 = 3*t, 4*c + 7 + 13 = q. What is the remainder when t is divided by 24?
22
Suppose 2*r + 5*i = 260, -r - 2*i - 621 = -6*r. Suppose -56 = 3*q - r. What is the remainder when 34 is divided by q?
11
Suppose 1524 - 1020 = 14*s - 882. What is the remainder when s is divided by 3?
0
Suppose -12*i + 3*i - 225 + 783 = 0. What is the remainder when i is divided by 17?
11
Suppose -6*l - 2 = -8*l, y + 3*l = 19. Let f(q) = q**2 + 52*q - 50. Calculate the remainder when y is divided by f(-53).
1
Suppose 1 = 2*o - 5*v - 22, 0 = 5*o - 3*v - 29. Let a(t) = 8*t**2 - 11*t + 4. Calculate the remainder when a(o) is divided by 10.
8
Let q be (2 + -1 + -11)/(-2). Suppose -2*u - 9*k = -4*k + 10, -3*u - 2*k = 15. Let p = q - u. What is the remainder when 48 is divided by p?
8
Let q(b) = 4*b**2 - 114*b + 982. What is the remainder when q(21) is divided by 109?
25
Let t(k) = -2*k**2 + 10*k + 45. Let w(q) = -6*q + 55. Let g be w(8). Calculate the remainder when 118 is divided by t(g).
16
Let g(j) = 8*j**2 + 177*j - 92. What is the remainder when 245 is divided by g(-23)?
38
Suppose 0 = 4*g - 811 + 255. What is the remainder when g is divided by 12/(14/(-7))*(-3 + (-3)/6)?
13
Suppose 0 = -2*x + 143 + 21. Let n = -3 + 5. Suppose 2*o - n*d - 50 = 0, -2*d - 46 - 60 = -4*o. What is the remainder when x is divided by o?
26
Let o(m) = -m**3 - 14*m**2 + 638*m - 7. Calculate the remainder when o(19) is divided by 74.
54
Let p(h) = 2*h**3 + 8*h**2 - 2*h - 5. Let a be p(-4). Suppose -a*o + 0*o + 276 = -m, 4*m = 0. Calculate the remainder when o is divided by 16.
12
Suppose -5*n + 21 = s - 13, -3*n = -5*s + 2. Suppose -n*v = -v - 100. Let j = 73 - v. Calculate the remainder when j is divided by 20.
13
Let j = 14994 + -14922. What is the remainder when 682 is divided by j?
34
Let k = 6786 + -6671. What is the remainder when 896 is divided by k?
91
Suppose -4*t = 18 + 1 + 1, 5*m + t - 160 = 0. Let y(b) = b**2 - 5*b + 4. What is the remainder when m is divided by y(6)?
3
Let y(h) = -h**2 - 58*h - 581. What is the remainder when 355 is divided by y(-16)?
82
Suppose 36*h + 74 = -h. Let z(w) = 275*w**2 + w - 1. Let k be z(1). Calculate the remainder when 31 is divided by 2525/k + h/11 + 0.
4
Let s = 1337 + -1236. What is the remainder when 475 is divided by s?
71
Let k be -4*5/(-10)*1. Calculate the remainder when 214 is divided by k/((1545/85)/3 + -6).
10
Let p = -11786 + 11859. Calculate the remainder when 360 is divided by p.
68
Suppose -80*g + 86*g - 306 = 0. What is the remainder when 159 is divided by g?
6
Let h(a) = -7*a + 6. Suppose -58*c - 36 = -55*c. Let f(x) = x**3 - x**2 + 2*x - 1. What is the remainder when h(c) is divided by f(3)?
21
Let g(t) = 6 + 19*t + t**3 - 3 + 2001*t**2 - 1987*t**2. What is the remainder when 312 is divided by g(-12)?
60
Suppose -57660 + 34195 = -247*n. Let o(b) = 50*b**3 - b**2 + 1. What is the remainder when n is divided by o(1)?
45
Let f(x) = -x**2 + 8*x - 12. Let g be f(4). Suppose 5*s + 29 = g*j - 50, 43 = 2*j + s. Calculate the remainder when j is divided by 13.
8
Let j = 6546 + -6523. What is the remainder when 204 is divided by j?
20
Suppose -15*t + 20*t - 210 = 0. Suppose 8*l = 4*l - 5*w + 118, -l + 5*w + t = 0. Calculate the remainder when 55 is divided by l.
23
Let y(m) = 3*m**3 - 3*m**2 + 3*m - 1. Suppose -4*n - 3*h + 137 = 0, -218 + 78 = -4*n - 4*h. What is the remainder when n is divided by y(2)?
15
Suppose 18*g + 2 = 19*g. Let n be -3 - -5 - 8/g. Calculate the remainder when 85/n*(-4)/5 is divided by 9.
7
Let w = 746 + -629. Let a(f) = f**2 - 8*f - 6. Let l be a(9). Suppose l*d - 85 = 5. What is the remainder when w is divided by d?
27
Let s(x) = -x**2 - 123*x + 664. What is the remainder when 615 is divided by s(5)?
15
Let v(h) = -h**2 - 7*h + 709. What is the remainder when 12079 is divided by v(-30)?
14
Suppose -b + 88 = 2*t, b + 4*t - 103 = -t. Suppose -226*z + 748*z - 43848 = 0. Calculate the remainder when z is divided by b.
6
Suppose 18*s - 1121 = -s. Calculate the remainder when s is divided by (5/(-2))/((-50)/120).
5
Let p(b) = 13*b**2 + 8*b - 12. Let v be p(2). Suppose -45*l = -v*l + 198. Let c(y) = -21*y - 7. What is the remainder when c(-8) is divided by l?
17
Calculate the remainder when 241 is divided by (-121 + 125)/((-1)/(-9)).
25
Let i(u) be the first derivative of u**3 - u**2/2 - 3*u - 8. Calculate the remainder when i(7) is divided by 46.
45
Let g(w) be the third derivative of w**6/60 - w**5/12 - w**4/6 - 2*w**2. Suppose 339*o = 355*o - 2016. Calculate the remainder when o is divided by g(4).
30
Suppose 2*y - 180 = -2*d, -d + y = -25 - 81. Let l = -14 + 10. Calculate the remainder when d is divided by 1/l + (-266)/(-8).
32
Let y be 1/1 - -2 - -2. Suppose -h - 5*u - 8 = -19, 0 = -3*h - y*u + 23. Suppose 0 = -h*n + 10*n - 64. Calculate the remainder when n is divided by 9.
7
Let x(w) = -14*w - 121. Let q be x(56). Let y = 1272 + q. What is the remainder when y is divided by 123?
121
Let x = 12 - -8. Calculate the remainder when (1 - -1) + -9 + 102 is divided by x.
15
Let 