[/quote]
,
be triangle with incenter 
and circumcircle 
.
and 
,
through 
,
in 
and 
.
and 
are equal.
for Girls, PRISMS Online Math Meet for Girls, is happening this spring! 
![\[
\text{Find all prime numbers } (p, q) \text{ such that } p^2 + 3pq + q^2 \text{ is a fifth power of an integer.}
\]](http://latex.artofproblemsolving.com/c/f/8/cf855cb087102024a50d41f49c67e7fd1ef22767.png)
be an acute scalene triangle inscribed in a circle 
.
intersects 
at 
and 
.
is the midpoint of 
.
be the altitude in 
,
intersects 
.
be the midpoint of 
be the reflection of 
with respect to 
and 
are similar.
groups for an activity. In the afternoon, the math teacher divided the same students into 
groups for another activity. A student is considered special if the group they belonged to in the afternoon is smaller than the group they belonged to in the morning. Find the minimum number of special students that can exist in the school.
with sum 
are such that the equation 
has a positive root 
smaller than 
.
such that the inequality 
holds.
and circumscribed about the incircle 
,
.
,
,
,
,
,
,
,
,
,
(distinct from 
)
intersects 
(distinct from 
of 
and 
at 
and 
,
at 
.
.
are the midpoints of the arcs 
and 
(not containing 
and 
,
passes through a fixed point, independent of the choice of 
,
,
,
and 
such that 
is a parallelogram and 
is a cyclic quadrilateral. Let 
be a line passing through 
at 
and intersects line 
at 
.
.
.
is divisibly by 
.
and 
is entered, the new password is 
,
Y by Neil10, scannose, Mr.Sharkman, torch, ninjaforce
UPDATE! We now offer GMC online as hosted on MathDash! Visit our https://mathdash.com/channel/gmc-7vuxi for more info!
Gunn Math Competition will take place at Gunn High School in Palo Alto, California on THIS Sunday, March 30th. Gather a team of up to four and compete for over $7,500 in prizes! The deadline to sign up is March 27th. We welcome participants of all skill levels, with separate Beginner and Advanced (AIME) divisions for all students, from advanced 4th graders to 12th graders.
For more information, check our MathDash Channel, https://mathdash.com/channel/gmc-7vuxi, where registration is free and now open. The deadline to sign up is this Friday, March 28th. If you are unable to make a team, register as an individual and we will be able to create teams for you.
Special Guest Speaker: Po-Shen Loh
We are honored to welcome Po-Shen Loh, a world-renowned mathematician, Carnegie Mellon professor, and former coach of the USA International Math Olympiad team. He will deliver a several 30-minute talks to both students and parents, offering deep insights into mathematical thinking and problem-solving in the age of AI!
For any questions, reach out at ghsmathcircle@gmail.com or ask in our Discord server, which you can join through the website.
Find information on our AoPS page too! https://artofproblemsolving.com/wiki/index.php/Gunn_Math_Competition_(GMC)
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This post has been edited 7 times. Last edited by the_math_prodigy, Yesterday at 5:17 AM
