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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
Time travel
centslordm   19
N 35 minutes ago by Yihangzh
IMAGE
19 replies
centslordm
6 hours ago
Yihangzh
35 minutes ago
New user not allowed to use LaTeX
Cats_on_a_computer   7
N 38 minutes ago 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?
7 replies
Cats_on_a_computer
Yesterday at 11:43 AM
Cats_on_a_computer
38 minutes ago
Duplicate Gamebot
cz1917   3
N an hour ago by aiops
The same problem of Alcumus is posted twice by Gamebot. They even have different links:
First Link
Second Link
3 replies
cz1917
3 hours ago
aiops
an hour ago
Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   1196
N 3 hours ago by yaxuan
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.
1196 replies
asuth_asuth
Mar 30, 2025
yaxuan
3 hours ago
p+2^p-3=n^2
tom-nowy   1
N Yesterday at 6:51 PM by urfinalopp
Let $n$ be a natural number and $p$ be a prime number. How many different pairs $(n, p)$ satisfy the equation:
$$p + 2^p - 3 = n^2 .$$
Inspired by https://artofproblemsolving.com/community/c4h3560823
1 reply
tom-nowy
Yesterday at 11:16 AM
urfinalopp
Yesterday at 6:51 PM
Perfect cubes
Entrepreneur   6
N Yesterday at 6:23 PM by NamelyOrange
Find all ordered pairs of positive integers $(a,b,c)$ such that $\overline{abc}$ and $\overline{cab}$ are both perfect cubes.
6 replies
Entrepreneur
Yesterday at 6:04 PM
NamelyOrange
Yesterday at 6:23 PM
Inequalities
sqing   13
N Yesterday at 5:05 PM by ytChen
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
$$\frac{1}{a-2}+\frac{1}{b-2}+\frac{1}{c-2}\geq 2$$
13 replies
sqing
May 13, 2025
ytChen
Yesterday at 5:05 PM
Ez comb proposed by ME
IEatProblemsForBreakfast   1
N Yesterday at 3:09 PM by n1g3r14n
A and B play a game on two table:
1.At first one table got $n$ different coloured marbles on it and another one is empty
2.At each move player choose set of marbles that hadn't choose either players before and all chosen marbles from same table, and move all the marbles in that set to another table
3.Player who can not move lose
If A starts and they move alternatily who got the winning strategy?
1 reply
IEatProblemsForBreakfast
Yesterday at 9:02 AM
n1g3r14n
Yesterday at 3:09 PM
geometry
luckvoltia.112   0
Yesterday at 3:04 PM
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.
0 replies
luckvoltia.112
Yesterday at 3:04 PM
0 replies
Exponents of integer question
Dheckob   4
N Yesterday at 2:45 PM by LeYohan
Find the smallest positive integer $m$ such that $5m$ is an exact 5th power, $6m$ is an exact 6th power, and $7m$ is an exact 7th power.
4 replies
Dheckob
Apr 12, 2017
LeYohan
Yesterday at 2:45 PM
ISI 2025
Zeroin   0
Yesterday at 2:29 PM
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.
0 replies
Zeroin
Yesterday at 2:29 PM
0 replies
Inequalities
sqing   3
N Yesterday at 1:49 PM by sqing
Let $ a,b>0   $ . Prove that
$$ \frac{a}{a^2+a +2b+1}+ \frac{b}{b^2+2a +b+1}  \leq  \frac{2}{5} $$$$ \frac{a}{a^2+2a +b+1}+ \frac{b}{b^2+a +2b+1}  \leq  \frac{2}{5} $$
3 replies
sqing
May 13, 2025
sqing
Yesterday at 1:49 PM
Max and min of ab+bc+ca-abc
Tiira   5
N Yesterday at 1:01 PM by sqing
a, b and c are three non-negative reel numbers such that a+b+c=1.
What are the extremums of
ab+bc+ca-abc
?
5 replies
Tiira
Jan 29, 2021
sqing
Yesterday at 1:01 PM
2017 DMI Individual Round - Downtown Mathematics Invitational
parmenides51   14
N Yesterday at 11:39 AM by SomeonecoolLovesMaths
p1. Compute the smallest positive integer $x$ such that $351x$ is a perfect cube.


p2. A four digit integer is chosen at random. What is the probability all $4$ digits are distinct?


p3. If $$\frac{\sqrt{x + 1}}{\sqrt{x}}+ \frac{\sqrt{x}}{\sqrt{x + 1}} =\frac52.$$Solve for $x$.


p4. In $\vartriangle ABC$, $AB = 13$, $BC = 14$, and $AC = 15$. Let $D$ be the point on $BC$ such that $AD \perp BC$, and let $E$ be the midpoint of $AD$. If $F$ is a point such that $CDEF$ is a rectangle, compute the area of $\vartriangle AEF$.


p5. Square $ABCD$ has a sidelength of $4$. Points $P$, $Q$, $R$, and $S$ are chosen on $AB$, $BC$, $CD$, and $AD$ respectively, such that $AP$, $BQ$, $CR$, and $DS$ are length $1$. Compute the area of quadrilateral $P QRS$.


p6. A sequence $a_n$ satisfies for all integers $n$, $$a_{n+1} = 3a_n - 2a_{n-1}.$$If $a_0 = -30$ and $a_1 = -29$, compute $a_{11}$.


p7. In a class, every child has either red hair, blond hair, or black hair. All but $20$ children have black hair, all but $17$ have red hair, and all but $5$ have blond hair. How many children are there in the class?


p8. An Akash set is a set of integers that does not contain two integers such that one divides the other. Compute the minimum positive integer $n$ such that the set $\{1, 2, 3, ..., 2017\}$ can be partitioned into n Akash subsets.


PS. You should use hide for answers. Collected here.
14 replies
parmenides51
Oct 2, 2023
SomeonecoolLovesMaths
Yesterday at 11:39 AM
k Python turtle
Speedysolver1   15
N Apr 16, 2025 by jlacosta
It gave a turtle window as seen without import turtle
print("this does not import turtle")

IMAGE
15 replies
Speedysolver1
Apr 10, 2025
jlacosta
Apr 16, 2025
Python turtle
G H J
G H BBookmark kLocked kLocked NReply
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Speedysolver1
141 posts
#1
Y by
It gave a turtle window as seen without import turtle
  1. print("this does not import turtle")

https://cdn.artofproblemsolving.com/attachments/5/d/89ec62e714378f19a06d77f2a6931d1d342dcd.png
This post has been edited 3 times. Last edited by Speedysolver1, Apr 10, 2025, 8:28 PM
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Speedysolver1
141 posts
#2
Y by
Also it doesn’t print
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Irreplaceable
1286 posts
#4
Y by
Speedysolver1 wrote:
It gave a turtle window as seen without import turtle
  1. print("this does not import turtle")
Z Y
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Irreplaceable
1286 posts
#5
Y by
I fixed it you should check your keyboard if it is on INT or US
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Demetri
1376 posts
#6 • 1 Y
Y by Irreplaceable
It doesn't print because you are using tildas(`) around the string (why are you using tildas) and it imports turtle because that is how aops code is desgined. @2above fixes it for you
This post has been edited 3 times. Last edited by Demetri, Apr 10, 2025, 8:11 PM
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Speedysolver1
141 posts
#7
Y by
I edited can reproduce
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Craftybutterfly
527 posts
#8
Y by
Try doing print('your words'). notice that I used ' instead of ". Or maybe there is something wrong with AoPS python window
This post has been edited 1 time. Last edited by Craftybutterfly, Apr 10, 2025, 8:26 PM
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Irreplaceable
1286 posts
#9
Y by
Craftybutterfly wrote:
Try doing print('your words'). notice that I used ' instead of "

no no you can use single quotes for a print statement
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Demetri
1376 posts
#10
Y by
I edited can reproduce
The issue is resolved? It prints now, and importing turtle is intended, in fact its in the code:
if (prog.indexOf("import turtle") > -1) {
            $('#' + Sk.TurtleGraphics.target).show();
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Speedysolver1
141 posts
#11
Y by
Demetri wrote:
I edited can reproduce
The issue is resolved? It prints now, and importing turtle is intended, in fact its in the code:
if (prog.indexOf("import turtle") > -1) {
            $('#' + Sk.TurtleGraphics.target).show();

not resolved it still happens
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Speedysolver1
141 posts
#12
Y by
see the attachments
Attachments:
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Demetri
1376 posts
#13
Y by
Demetri wrote:
I edited can reproduce
The issue is resolved? It prints now, and importing turtle is intended, in fact its in the code:
if (prog.indexOf("import turtle") > -1) {
            $('#' + Sk.TurtleGraphics.target).show();

not resolved it still happens
It is resolved, it happens on purpose.
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Speedysolver1
141 posts
#14
Y by
Why does it
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Demetri
1376 posts
#15 • 2 Y
Y by Speedysolver1, InsightfulHawk16
Why does it
Aops searches for "import turtle" in the python code and if it detects that it will import it. @below you can put [RESOLVED] in the title because \req lock doesn't do much
This post has been edited 1 time. Last edited by Demetri, Apr 10, 2025, 8:43 PM
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bpan2021
2657 posts
#18 • 1 Y
Y by Speedysolver1
Why does it
Aops searches for "import turtle" in the python code and if it detects that it will import it. @below you can put [RESOLVED] in the title because \req lock doesn't do much

But that is not how Python is supposed to function. It's only supposed to register instances where "import turtle" is not some string, another data type, or is part of some piece of code that doesn't want to import turtle, but rather an actual import statement. If "import turtle" was not in the code as an import statement, then the turtle box should not appear.

The way that this functions is wrong and isn't accepted in Python, so it should be a bug.
This post has been edited 1 time. Last edited by bpan2021, Apr 11, 2025, 12:41 AM
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jlacosta
648 posts
#24 • 1 Y
Y by aidan0626
Thanks for reporting this! We'll pass it along.
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