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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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0 replies
jlacosta
May 1, 2025
0 replies
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Inequalitis
sqing   3
N 5 minutes ago by sqing
Let $ a,b,c\geq 0 , a^2+b^2+c^2 =3.$ Prove that
$$a^3 +b^3 +c^3 +\frac{11}{5}abc \leq \frac{26}{5}$$
3 replies
sqing
Yesterday at 2:44 AM
sqing
5 minutes ago
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[Mathira 2024 T3-DoD3] Product of pairwise sums
aops-g5-gethsemanea2   2
N an hour ago by iwastedmyusername
Let $r,s,t$ be the zeros of the quadratic function $P(x)=x^3-2x^2+3x-4$. Compute for the numerical value of $(r+s)(s+t)(t+r)$.
2 replies
1 viewing
aops-g5-gethsemanea2
an hour ago
iwastedmyusername
an hour ago
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Original Problem - Floors
NicoPlusAki_2011   4
N an hour ago by maxamc
Keanu Reeves is being rushed into labor at the Penchick Hospital, which has exactly 45² emergency rooms, each numbered from 1 to 2025. The hospital is so overcrowded that only rooms with special "triage resonance" are unoccupied. These rooms are defined mysteriously by the Resonance Index Rule:

A room number r has triage resonance if and only if the floor of log base 3 of r, minus 1, is a prime number.

Keanu Reeves will give birth in any of these resonant rooms, but only if she finds one.

Question: What is the sum of all room numbers in which Keanu Reeves can’t give birth?
4 replies
NicoPlusAki_2011
Yesterday at 2:42 PM
maxamc
an hour ago
J
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Cyclic Sum
P162008   2
N 3 hours ago by aaravdodhia
If $\sum_{cyc} \alpha = 0$ and $\sum_{cyc} \frac{\alpha^4}{2\alpha^2 + \beta\gamma} = 1$ then find the greatest possible value of $\sum_{cyc}\alpha^4.$
2 replies
P162008
May 26, 2025
aaravdodhia
3 hours ago
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WAMO help
AlcumusTrainerAccount   3
N Apr 20, 2025 by wuwang2002
Thier was a problem on wamo which required the sum of products, it was (a1,a2.....)(b1,b2........) and my question is, is this formula covred in intro, intermedaite seris or volumes because i have never saw thus formula and the problem is very bashy without it
3 replies
AlcumusTrainerAccount
Apr 19, 2025
wuwang2002
Apr 20, 2025
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WAMO help
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Wamo
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AlcumusTrainerAccount
2 posts
AlcumusTrainerAccount
#1 h  Apr 19, 2025, 9:20 PM
Y by
Thier was a problem on wamo which required the sum of products, it was (a1,a2.....)(b1,b2........) and my question is, is this formula covred in intro, intermedaite seris or volumes because i have never saw thus formula and the problem is very bashy without it
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wuwang2002
1215 posts
wuwang2002
#2 h  Apr 19, 2025, 9:41 PM
Y by
which problem was it?
if you have a discord you can ask the staff there, if you don't it's ok
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Andyluo
1008 posts
Andyluo
#3 h  Apr 19, 2025, 9:50 PM
Y by
AlcumusTrainerAccount wrote:
Thier was a problem on wamo which required the sum of products, it was (a1,a2.....)(b1,b2........) and my question is, is this formula covred in intro, intermedaite seris or volumes because i have never saw thus formula and the problem is very bashy without it

the idea was testing some numbers, and 1/2,1/3,1/5 all work, so just cycle them in and out to get your answer
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wuwang2002
1215 posts
wuwang2002
#5 h  Apr 20, 2025, 3:53 AM
Y by
Andyluo wrote:
AlcumusTrainerAccount wrote:
Thier was a problem on wamo which required the sum of products, it was (a1,a2.....)(b1,b2........) and my question is, is this formula covred in intro, intermedaite seris or volumes because i have never saw thus formula and the problem is very bashy without it

the idea was testing some numbers, and 1/2,1/3,1/5 all work, so just cycle them in and out to get your answer

it's not just about testing numbers--it's about bounding them and then bounding them again
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