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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. 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 events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
[*]April 8th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS State Discussion
April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/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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Prealgebra 1 Self-Paced

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0 replies
jlacosta
Apr 2, 2025
0 replies
Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   903
N 4 minutes ago by MathDolphin95
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.
903 replies
+2 w
asuth_asuth
Mar 30, 2025
MathDolphin95
4 minutes ago
A Loggy Problem from Pythagoras
Mathzeus1024   2
N an hour ago by wh0nix
Prove or disprove: $\exists x \in \mathbb{R}^{+}$ such that $\ln(x), \ln(2x), \ln(3x)$ are the lengths of a right triangle.
2 replies
1 viewing
Mathzeus1024
5 hours ago
wh0nix
an hour ago
Polynomials
CuriousBabu   10
N an hour ago by wh0nix
\[ 
\frac{(x+y+z)^5 - x^5 - y^5 - z^5}{(x+y)(y+z)(z+x)} = 0 
\]
Find the number of real solutions.
10 replies
CuriousBabu
Apr 14, 2025
wh0nix
an hour ago
Combinatorics
AzSolver257   1
N an hour ago by SomeonecoolLovesMaths

1)Two players $A$ and $B$ play a series of of $2n$ games. Each game either results in a win or loss for $A$. Total number of ways in which $A$ can win the series is:
A) $ \frac{1}{2} ( 2^{2n} - \binom{2n}{n})$
B) $ \frac{1}{2} ( 2^{2n} - 2\cdot(\binom{2n}{n}))$
C) $ \frac{1}{2} ( 2^{n} - \binom{2n}{n})$
D) $ \frac{1}{2} ( 2^{n} - 2 \cdot \binom{2n}{n})$
2) A person predicts the outcome of 20 cricket matches hof his home team. Each match can either result in a win , loss or tie for the home team. The total number of ways in which he can make the predictions so that 10 predictions is correct is equal to:

A) $ \binom{20}{10} \times 2^{10} $
B) $ \binom{20}{10} \times 3^{10} $
C) $ \binom{20}{10} \times 3^{20} $
D) $ \binom{20}{10} \times 2^{20} $

Please mention the solutions properly.
1 reply
AzSolver257
2 hours ago
SomeonecoolLovesMaths
an hour ago
Algebra Problems
ilikemath247365   9
N 2 hours ago by SomeonecoolLovesMaths
Find all real $(a, b)$ with $a + b = 1$ such that

$(a + \frac{1}{a})^{2} + (b + \frac{1}{b})^{2} = \frac{25}{2}$.
9 replies
ilikemath247365
Apr 14, 2025
SomeonecoolLovesMaths
2 hours ago
How to prove one-one function
Vulch   7
N 3 hours ago by SomeonecoolLovesMaths
Hello everyone,
I am learning functional equations.
To prove the below problem one -one function,I have taken two non-negative real numbers $ (1,2)$ from the domain $\Bbb R_{*},$ and put those numbers into the given function f(x)=1/x.It gives us 1=1/2.But it's not true.So ,it can't be one-one function.But in the answer,it is one-one function.Would anyone enlighten me where is my fault? Thank you!
7 replies
Vulch
Apr 11, 2025
SomeonecoolLovesMaths
3 hours ago
k Question
jjmmxx   2
N 5 hours ago by jjmmxx
"New users are not allowed to post images in the Community."
Can you tell me about this...?
2 replies
jjmmxx
5 hours ago
jjmmxx
5 hours ago
Inequalities
lgx57   5
N 5 hours ago by jjmmxx
Let $0 < a,b,c < 1$. Prove that

$$a(1-b)+b(1-c)+c(1-a)<1$$
5 replies
lgx57
Mar 19, 2025
jjmmxx
5 hours ago
ez problem....
Cobedangiu   0
5 hours ago
Let $x,y \in Z$ and $xy \cancel \vdots7$
Find $n \in Z^+$.
$x^2+y^2+xy=7^n$
0 replies
Cobedangiu
5 hours ago
0 replies
hard number theory
eric201291   2
N Today at 9:22 AM by eric201291
Prove:There are no integers x, y, that y^2+9998587980=x^3.
2 replies
eric201291
Apr 16, 2025
eric201291
Today at 9:22 AM
Inequalities
sqing   9
N Today at 8:54 AM by sqing
Let $   a,b    $ be reals such that $  a^2+ab+b^2 =3$ . Prove that
$$ \frac{4}{ 3}\geq \frac{1}{ a^2+5 }+ \frac{1}{ b^2+5 }+ab \geq -\frac{11}{4 }$$$$ \frac{13}{ 4}\geq \frac{1}{ a^2+5 }+ \frac{1}{ b^2+5 }+ab \geq -\frac{2}{3 }$$$$ \frac{3}{ 2}\geq  \frac{1}{ a^4+3 }+ \frac{1}{ b^4+3 }+ab \geq -\frac{17}{6 }$$$$ \frac{19}{ 6}\geq  \frac{1}{ a^4+3 }+ \frac{1}{ b^4+3 }-ab \geq -\frac{1}{2}$$Let $   a,b    $ be reals such that $  a^2-ab+b^2 =1 $ . Prove that
$$ \frac{3}{ 2}\geq \frac{1}{ a^2+3 }+ \frac{1}{ b^2+3 }+ab \geq \frac{4}{15 }$$$$ \frac{14}{ 15}\geq \frac{1}{ a^2+3 }+ \frac{1}{ b^2+3 }-ab \geq -\frac{1}{2 }$$$$ \frac{3}{ 2}\geq \frac{1}{ a^4+3 }+ \frac{1}{ b^4+3 }+ab \geq \frac{13}{42 }$$$$ \frac{41}{ 42}\geq \frac{1}{ a^4+3 }+ \frac{1}{ b^4+3 }-ab \geq -\frac{1}{2 }$$
9 replies
sqing
Apr 16, 2025
sqing
Today at 8:54 AM
Geometry
AlexCenteno2007   4
N Today at 8:40 AM by sunken rock
Let ABC be an isosceles triangle with AB = AC and M the midpoint of BC. Consider a point E outside the triangle such that BE = BM and CE perpendicular to AB. The point of intersection of the perpendicular bisector of segment EB with the circumcircle of triangle AMB, which is on the same side as A with respect to BE, is point F. Show that angle FME = 90°
4 replies
AlexCenteno2007
Yesterday at 3:49 AM
sunken rock
Today at 8:40 AM
bar color
jusluo   6
N Yesterday at 10:13 PM by jkim0656
im wondering why my progress bar hasnt turned to a different shade of color after hitting a milestone. I passed orange, and it didn't turn to that color, its still grey (this is in week 12.) is there something I can do to fix it?
6 replies
1 viewing
jusluo
Yesterday at 7:19 PM
jkim0656
Yesterday at 10:13 PM
k repeated deletion of EGMO threads in HSO
InterLoop   3
N Yesterday at 1:45 PM by EeEeRUT
I hope posting this in Site Support is fine? I'm not sure whether an HSO admin is doing this but-

The EGMO 2025 problem 1 and problem 2 were originally posted by me on the day of the contest and found deleted (not by me) yesterday. Someone else noticed this and posted the problems again, but these threads were deleted once more.
3 replies
InterLoop
Yesterday at 9:53 AM
EeEeRUT
Yesterday at 1:45 PM
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
122 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
122 posts
#2
Y by
Also it doesn’t print
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Irreplaceable
1240 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
1240 posts
#5
Y by
I fixed it you should check your keyboard if it is on INT or US
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Demetri
1282 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
122 posts
#7
Y by
I edited can reproduce
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Craftybutterfly
382 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
1240 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
1282 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
122 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
122 posts
#12
Y by
see the attachments
Attachments:
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Demetri
1282 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
122 posts
#14
Y by
Why does it
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Demetri
1282 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
2614 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
630 posts
#24 • 1 Y
Y by aidan0626
Thanks for reporting this! We'll pass it along.
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