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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]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 2025
0 replies
Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   1198
N an hour ago by Demetri
Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.
1198 replies
+1 w
asuth_asuth
Mar 30, 2025
Demetri
an hour ago
geometry
luckvoltia.112   1
N 3 hours ago by MathsII-enjoy
ChGiven an acute triangle ABC inscribed in circle $(O)$ The altitudes $BE, CF$ , intersect
each other at $H$. The tangents at $B$ and $C $of $(O)$ intersect at $S$. Let $M $be the midpoint of $BC$. $EM$ intersects $SC$
at $I$, $FM$ intersects $SB$ at $J.$
a) Prove that the points $I, S, M, J$ lie on the same circle.
b) The circle with diameter $AH$ intersects the circle $(O)$ at the second point $T.$ The line $AH$ intersects
$(O)$ at the second point $K$. Prove that $S,K,T$ are collinear.
1 reply
luckvoltia.112
Yesterday at 3:04 PM
MathsII-enjoy
3 hours ago
System of Equations
P162008   0
4 hours ago
If $a,b$ and $c$ are complex numbers such that

$(a + b)(b + c) = 1$

$(a - b)^2 + (a^2 - b^2)^2 = 85$

$(b - c)^2 + (b^2 - c^2)^2 = 75$

Compute $(a - c)^2 + (a^2 - c^2)^2.$
0 replies
P162008
4 hours ago
0 replies
System of Equations
P162008   0
4 hours ago
If $a,b$ and $c$ are real numbers such that

$\prod_{cyc} (a + b) = abc$

$\prod_{cyc} (a^3 + b^3) = (abc)^3$

Compute the value of $abc.$
0 replies
P162008
4 hours ago
0 replies
Vieta's Relation
P162008   0
4 hours ago
If $\alpha, \beta$ and $\gamma$ are the roots of the cubic equation $x^3 - x^2 - 2x + 1 = 0$ then compute $\sum_{cyc} (\alpha + \beta)^{1/3}.$
0 replies
P162008
4 hours ago
0 replies
System of Equations
P162008   0
4 hours ago
If $a,b$ and $c$ are complex numbers such that

$\frac{ab}{b + c} + \frac{bc}{c + a} + \frac{ca}{a + b} = -9$

$\frac{ab}{c + a} + \frac{bc}{a + b} + \frac{ca}{b + c} = 10$

Compute $\frac{a}{c + a} + \frac{b}{a + b} + \frac{c}{b + c}.$
0 replies
P162008
4 hours ago
0 replies
System of Equations
P162008   0
4 hours ago
If $a,b$ and $c$ are complex numbers such that

$\sum_{cyc} ab = 23$

$\frac{a}{c + a} + \frac{b}{a + b} + \frac{c}{b + c} = -1$

$\frac{a^2b}{b + c} + \frac{b^2c}{c + a} + \frac{c^2a}{a + b} = 202$

Compute $\sum_{cyc} a^2.$
0 replies
P162008
4 hours ago
0 replies
2022 MARBLE - Mock ARML I -8 \frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=32
parmenides51   3
N 5 hours ago by P162008
Let $a,b,c$ complex numbers with $ab+ +bc+ca = 61$ such that
$$\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}= 5$$$$\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=32.$$Find the value of $abc$.
3 replies
parmenides51
Jan 14, 2024
P162008
5 hours ago
ISI 2025
Zeroin   1
N 5 hours ago by alexheinis
Let $\mathbb{N}$ denote the set of natural numbers and let $(a_i,b_i),1 \leq i \leq 9$ denote $9$ ordered pairs in $\mathbb{N} \times \mathbb{N}$. Prove that there exist $3$ distinct elements in the set $2^{a_i}3^{b_i}$ for $1 \leq i \leq 9$ whose product is a perfect cube.
1 reply
Zeroin
Yesterday at 2:29 PM
alexheinis
5 hours ago
Pell's Equation
Entrepreneur   1
N 6 hours ago by MihaiT
A Pells Equation is defined as follows $$x^2-1=ky^2.$$Where $x,y$ are positive integers and $k$ is a non-square positive integer. If $(x_n,y_n)$ denotes the n-th set of solution to the equation with $(x_0,y_0)=(1,0).$ Then, prove that $$x_{n+1}x_n-ky_{n+1}y_n=x_1,$$$$x_n\pm y_n\sqrt k=(x_1\pm y_1\sqrt k)^n.$$
1 reply
Entrepreneur
Today at 8:21 AM
MihaiT
6 hours ago
Inequalities
sqing   15
N Today at 8:43 AM by sqing
Let $a,b,c >2 $ and $ ab+bc+ca \leq 75.$ Show that
$$\frac{1}{a-2}+\frac{1}{b-2}+\frac{1}{c-2}\geq 1$$Let $a,b,c >2 $ and $ \frac{1}{a}+\frac{1}{b}+\frac{1}{c}\geq \frac{6}{7}.$ Show that
$$\frac{1}{a-2}+\frac{1}{b-2}+\frac{1}{c-2}\geq 2$$
15 replies
sqing
May 13, 2025
sqing
Today at 8:43 AM
New user not allowed to use LaTeX
Cats_on_a_computer   8
N Today at 6:04 AM by Cats_on_a_computer
Do I seriously have to post everyday for 14 days for me not to be considered a “new user? I didn’t even upload any images, I just used LaTeX. How am I supposed to write anything without LaTeX?
8 replies
Cats_on_a_computer
Yesterday at 11:43 AM
Cats_on_a_computer
Today at 6:04 AM
Time travel
centslordm   19
N Today at 4:07 AM by Yihangzh
IMAGE
19 replies
centslordm
Yesterday at 10:59 PM
Yihangzh
Today at 4:07 AM
Duplicate Gamebot
cz1917   3
N Today at 3:28 AM by aiops
The same problem of Alcumus is posted twice by Gamebot. They even have different links:
First Link
Second Link
3 replies
cz1917
Today at 1:36 AM
aiops
Today at 3:28 AM
k How to avoid reposting questions?
Suan_16   4
N Jul 25, 2024 by duke_of_wedgewood
I found some questions hard to solve by myself, so I went on AoPS
I know that ZetaX said that do not repost questions(https://artofproblemsolving.com/community/c6h135914_zero_tolerance), so I searched on the "Advanced Search". I didn't found it, so I posted it.
However, somebody always founded that I reposted, so I am very...well, upset?
Can anyone tell me how to search problems better on AoPS?
4 replies
Suan_16
Jul 14, 2024
duke_of_wedgewood
Jul 25, 2024
How to avoid reposting questions?
G H J
G H BBookmark kLocked kLocked NReply
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Suan_16
67 posts
#1
Y by
I found some questions hard to solve by myself, so I went on AoPS
I know that ZetaX said that do not repost questions(https://artofproblemsolving.com/community/c6h135914_zero_tolerance), so I searched on the "Advanced Search". I didn't found it, so I posted it.
However, somebody always founded that I reposted, so I am very...well, upset?
Can anyone tell me how to search problems better on AoPS?
Z Y
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rms
848 posts
#2
Y by
Suan_16 wrote:
However, somebody always founded that I reposted, so I am very...well, upset?
Can anyone tell me how to search problems better on AoPS?

See PM (Private Messages in My AoPS).
Z Y
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A_MatheMagician
2251 posts
#3
Y by
Post #1 by Suan_16
if its an oly question you can use the "source" filter to find the problem
Z Y
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Suan_16
67 posts
#4
Y by
Thanks to #Up1 and #Up2
But what is the"source"fliter?
This post has been edited 1 time. Last edited by Suan_16, Jul 22, 2024, 2:14 PM
Z Y
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duke_of_wedgewood
1997 posts
#5
Y by
rms wrote:
Suan_16 wrote:
However, somebody always founded that I reposted, so I am very...well, upset?
Can anyone tell me how to search problems better on AoPS?

See PM (Private Messages in My AoPS).

Who would you pm though?

@OP, try looking through tags I guess
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