such that 
but 
does not divide 
.
be a point on the Neuberg cubic. Show that as 
be positive integers and 
be prime. We know that 
and 
.
is a perfect square.
and ![\[ 3n^2+3n+7=m^3 \]](http://latex.artofproblemsolving.com/6/f/8/6f84f81f857094b3ea432284a7881697167b2418.png)
Y by Adventure10, Mango247
A trapezoid 
is given (
). Construct with compass and ruler such points 
and 
on the sides 
and 
respectively that 
and 
is the angle bisector of 
.
(V. Tkachenko, Kyiv)
is given (
). Construct with compass and ruler such points 
and 
on the sides 
and 
respectively that 
and 
is the angle bisector of 
.(V. Tkachenko, Kyiv)
