 Let t be (-66)/4 - 3/(-2). Let k be h(t). Let w = -11 - k. Calculate the remainder when 51 is divided by w.
12
Suppose -431*i + 783*i - 1003200 = 0. What is the remainder when i is divided by 72?
42
Suppose -j + 187 = 178. Suppose -39*c + 330 = -j*c. What is the remainder when 113 is divided by c?
3
Let t(x) = -x**3 - 3*x**2 + 9*x - 10. Let i be t(-5). Let z be 2/(1 - (i/(-2))/5). Suppose 0 = 7*q - z*q - 393. Calculate the remainder when q is divided by 19.
17
Let g be (2 - 0)*-2 - -22. Suppose 36*k = 37*k - g. What is the remainder when 35 is divided by k?
17
Let y(x) = x + 21. Let m be y(-18). Suppose -358 = -4*s + 2*k, m*k = 2*s + 4*k - 173. Calculate the remainder when s is divided by 9.
7
Let q be 18 + -18 - (-1 + 198). Let z = q - -228. What is the remainder when 70 is divided by z?
8
Calculate the remainder when (-16)/184 + 3460/115 is divided by 0 + (6/(-3) - -9).
2
Suppose -5*x + 2922 = 4*f, 3476 = 62*x - 56*x + f. What is the remainder when x is divided by 161?
95
Suppose 0 = 9*r - 18*r + 468. Suppose 3*p = 3*c - 39, -14*c + p - r = -18*c. What is the remainder when 81 is divided by c?
3
Let h(k) = k + 10*k + 17*k**2 - 9*k**2 - 1 + 2*k - k**3. Calculate the remainder when h(9) is divided by 12.
11
Let s = 89 + -34. Let p = -30 - s. Let i = p - -160. What is the remainder when i is divided by 21?
12
Let b = 7610 + -7590. Calculate the remainder when 8177 is divided by b.
17
Suppose 3*m - 4*m = -3. Suppose 3*k - c - 182 = 0, 4*k - 245 = -m*c + 2*c. Let d(x) = 2*x**2 + 54*x + 116. What is the remainder when k is divided by d(-25)?
13
Suppose 2 + 28 = 5*v - 5*g, 2*v - 14 = 4*g. Suppose 1 = d, s + s = -v*d + 215. What is the remainder when s is divided by 11?
6
Let o(d) = 9*d - 26. Let a = 133 - 235. Let s be 4*(-2)/28 + a/(-14). Calculate the remainder when o(s) is divided by 8.
5
What is the remainder when 365 is divided by (-138752)/(-384) - 2/6?
4
What is the remainder when 316/(-10)*9690/(-228) is divided by 62?
41
Suppose 0 = -6*p + 144 + 300 - 54. Calculate the remainder when 716 is divided by p.
1
Let z(x) = 16*x**3 + x - 1. Suppose 0 = -3482*o + 236*o + 2174820. What is the remainder when o is divided by z(1)?
14
Suppose -5*i + 8*b = 9*b - 1386, 8 = -2*b. Suppose i = 8*j - 18. Calculate the remainder when ((-110)/(-3))/((-1)/(-3)) is divided by j.
36
Let k = 7727 + -7436. Calculate the remainder when k is divided by 100.
91
Suppose 0 = -1767*r + 1759*r + 1032. Calculate the remainder when r is divided by 129.
0
Let x(z) = 8*z**2 - 46 - 9*z**2 - 12*z - 3*z. Let a be x(-5). Suppose -41 - 339 = -a*r. What is the remainder when r is divided by 12?
11
Suppose 3*u - 4*u = 0, -9 = -3*l - 5*u. Suppose -4*x + 2*z - z = -155, -l*x + 5*z + 112 = 0. Calculate the remainder when x is divided by 26.
13
Let n(r) = r**2 + 19*r - 73. Let s be n(-22). Calculate the remainder when 259 is divided by 2/((-144)/(-455) + 2/s).
64
Suppose -4*y - 5*s + 244 = 0, -2*s = 5*y - 188 - 117. Calculate the remainder when 4023 is divided by y.
58
Let z(y) = 4*y**2 - 287*y - 356. What is the remainder when 39 is divided by z(73)?
3
Calculate the remainder when (-1 + (-38)/(-6) + -1)/(285/57285) is divided by 8.
7
Suppose 6*v = -5*v - 1001. Let b = -72 - v. Suppose -6*p + 5*p = -b. What is the remainder when p is divided by 10?
9
Let r = -17 - 22. Let v = 46 + r. Suppose -2*i + v - 1 = 0. Calculate the remainder when 27 is divided by i.
0
Let p(z) = -995*z - 5987. What is the remainder when p(-7) is divided by 80?
18
Suppose -3*w - 5 = -b, -4*w + 12 = -8. Let i be ((-1892)/6)/(200/300). Let k = i + 544. Calculate the remainder when k is divided by b.
11
Let v be 20/6*12*36/32. Let t be ((-6)/7)/(2/(-14)). Suppose -9*q = -t*q - v. Calculate the remainder when 55 is divided by q.
10
Suppose -26*p - 93442 + 7950 = -294*p. What is the remainder when 652 is divided by p?
14
Let r = 340 - 337. Suppose -4*z + 64 = -2*c, -5*z + r*z = 5*c - 8. What is the remainder when 67 is divided by z?
11
Let f(j) = -j**3 - 2*j**2 + 4*j + 4. Let c be f(-3). Calculate the remainder when (160/(-110))/((-69)/1518) is divided by ((-2)/10 - c)*-10.
8
Suppose -662 - 3078 = -5*z. Suppose 3*q = 7*q - z. Suppose 0 = -h - 24 + 62. What is the remainder when q is divided by h?
35
Let y be (-5)/(-3) - (-42)/126. Suppose 3*u + 8*m - 30 = 3*m, 0 = -3*u - y*m + 30. Calculate the remainder when 458 is divided by u.
8
Suppose -a + 2*j + 107 = 0, -5*a + 5*j = 47 - 607. Calculate the remainder when a is divided by (231/(-6))/(-7)*6.
18
Let q = -48 + 127. Suppose 7 = f - 21. Calculate the remainder when f is divided by (-1)/(-4) + (q/4 - 5).
13
Suppose -y - n + 41 = 0, -3*y - 27 = 5*n - 154. Calculate the remainder when 144*(1 + 1)/2 is divided by y.
27
Let a be ((-12)/(-10))/(-1*3/420). Let o = a - -290. Suppose 4*q = -q - 4*r + o, -4*r = -12. What is the remainder when q is divided by 4?
2
Let z = 71 - 81. Let w be 31 + 5/(z/4) + 1. Suppose -3*v = y - w - 159, -5*v + 295 = -5*y. What is the remainder when v is divided by 8?
6
Suppose 0 = -u + 149 + 56. Calculate the remainder when u is divided by ((-19904)/(-4354))/(12/42).
13
Let f = -492 + 492. Suppose -142 = -3*x - f*x + 2*i, 0 = -5*x - i + 215. Calculate the remainder when 263 is divided by x.
43
Let f(i) = i**3 - 26*i**2 + 174*i - 69. What is the remainder when f(16) is divided by 56?
43
Let i(y) = 4*y**2 + 15*y + 9. Let t be i(-12). Suppose -2*o + 4*c + 352 = 0, 273 = 4*o + 5*c - t. Calculate the remainder when o is divided by 45.
37
Let f = 109 - 337. Let h = 232 + f. Suppose -l + 14 = -1. Calculate the remainder when l is divided by h.
3
Suppose 0*h + 2*h - 154 = -5*v, -6 = 3*v. Suppose -p - p = h. Let s = p - -63. Calculate the remainder when 41 is divided by s.
19
Let s(b) = b**2 + 32*b - 9. Let q be s(-34). Let n = q - 43. Calculate the remainder when 20 is divided by n.
4
Let t(d) = -d**2 + 21*d - 99. Let v be t(6). Let f(h) = -h**3 - 7*h**2 + 15*h + 14. Calculate the remainder when 201 is divided by f(v).
37
Suppose 74*l = -5*z + 70*l + 285, l - 178 = -3*z. Calculate the remainder when 283 is divided by z.
39
Suppose -32*f + 442510 = 27886. Calculate the remainder when f is divided by 135.
132
Let s = -34529 - -34544. What is the remainder when 165 is divided by s?
0
Let k(q) = q**2 + 2*q + 4. What is the remainder when -7 - (-2 + 54/4)*(-96)/24 is divided by k(-7)?
0
Let t = 140 + -137. Suppose 2*m + 7 = -4*s + 67, -t*s = 4*m - 35. What is the remainder when s is divided by 8?
1
Let j(f) = -139*f - 4473. Calculate the remainder when j(-71) is divided by 78.
14
Suppose 10*a - 3039 - 621 = 0. What is the remainder when a is divided by 48?
30
Suppose 4*f - 4*w - 372 = 0, -5*w = 88*f - 90*f + 186. Calculate the remainder when 178 is divided by f.
85
Let o(m) = -m**3 - 72*m**2 - 390*m + 94. What is the remainder when o(-67) is divided by 61?
58
Let l(y) = -47*y - 29. Let s be l(-11). Suppose s = 68*p - 64*p. What is the remainder when p is divided by 25?
22
Suppose -4*d = -t + d, -5*t + 2*d = -23. Let y(b) be the second derivative of b**3/2 - 11*b**2/2 + 2*b - 1733. What is the remainder when 8 is divided by y(t)?
0
Let i(r) = -3*r**3 - 2*r + 3. What is the remainder when 96 is divided by i(-3)?
6
Let z(s) = 45*s - 4. Let j(w) = -4*w - 5*w + 8*w**2 - 3*w**2 - 4*w**2 - 15. What is the remainder when j(-8) is divided by z(1)?
39
Let c(k) = -k**2 - 21*k - 51. Let u be c(-3). Suppose u*q - 23 - 40 = 0. Let p = -46 - -127. What is the remainder when p is divided by q?
18
Suppose -4*z + 5885 = 5761. Suppose 2*n - 465 - 153 = 0. Let x = n + -187. What is the remainder when x is divided by z?
29
Let j(o) = -15*o + 108. Let w be j(7). Suppose -2*z - w*t = -149, 3*z + 82 = 4*z + 4*t. Calculate the remainder when z is divided by 24.
22
Calculate the remainder when (695 - 20) + 35/5 is divided by 49.
45
Let w(p) = 639*p + 5975. What is the remainder when 538 is divided by w(-9)?
90
Calculate the remainder when (382 - (23 + -17)) + 11 is divided by 303.
84
Suppose -27 = -3*u + 3. Let w(i) = 27*i - 219. What is the remainder when 149 is divided by w(u)?
47
Suppose 0 = 4*v + 3*x - 15238, -5*v + 19037 = 64*x - 62*x. What is the remainder when v is divided by 224?
221
Let j = 115 - 69. Suppose 0*m = -2*m. Suppose m*t + 52 = 4*t. Calculate the remainder whe