Plan ahead for the next school year. Schedule your class today!

G
Topic
First Poster
Last Poster
k a July Highlights and 2025 AoPS Online Class Information
jwelsh   0
Jul 1, 2025
We are halfway through summer, so be sure to carve out some time to keep your skills sharp and explore challenging topics at AoPS Online and our AoPS Academies (including the Virtual Campus)!

[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]

MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.

Our full course list for upcoming classes is below:
All classes start 7:30pm ET/4:30pm PT unless otherwise noted.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Wednesday, Jul 16 - Oct 29
Sunday, Aug 17 - Dec 14
Tuesday, Aug 26 - Dec 16
Friday, Sep 5 - Jan 16
Monday, Sep 8 - Jan 12
Tuesday, Sep 16 - Jan 20 (4:30 - 5:45 pm ET/1:30 - 2:45 pm PT)
Sunday, Sep 21 - Jan 25
Thursday, Sep 25 - Jan 29
Wednesday, Oct 22 - Feb 25
Tuesday, Nov 4 - Mar 10
Friday, Dec 12 - Apr 10

Prealgebra 2 Self-Paced

Prealgebra 2
Friday, Jul 25 - Nov 21
Sunday, Aug 17 - Dec 14
Tuesday, Sep 9 - Jan 13
Thursday, Sep 25 - Jan 29
Sunday, Oct 19 - Feb 22
Monday, Oct 27 - Mar 2
Wednesday, Nov 12 - Mar 18

Introduction to Algebra A Self-Paced

Introduction to Algebra A
Tuesday, Jul 15 - Oct 28
Sunday, Aug 17 - Dec 14
Wednesday, Aug 27 - Dec 17
Friday, Sep 5 - Jan 16
Thursday, Sep 11 - Jan 15
Sunday, Sep 28 - Feb 1
Monday, Oct 6 - Feb 9
Tuesday, Oct 21 - Feb 24
Sunday, Nov 9 - Mar 15
Friday, Dec 5 - Apr 3

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Wednesday, Jul 2 - Sep 17
Sunday, Jul 27 - Oct 19
Monday, Aug 11 - Nov 3
Wednesday, Sep 3 - Nov 19
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Friday, Oct 3 - Jan 16
Sunday, Oct 19 - Jan 25
Tuesday, Nov 4 - Feb 10
Sunday, Dec 7 - Mar 8

Introduction to Number Theory
Tuesday, Jul 15 - Sep 30
Wednesday, Aug 13 - Oct 29
Friday, Sep 12 - Dec 12
Sunday, Oct 26 - Feb 1
Monday, Dec 1 - Mar 2

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Friday, Jul 18 - Nov 14
Thursday, Aug 7 - Nov 20
Monday, Aug 18 - Dec 15
Sunday, Sep 7 - Jan 11
Thursday, Sep 11 - Jan 15
Wednesday, Sep 24 - Jan 28
Sunday, Oct 26 - Mar 1
Tuesday, Nov 4 - Mar 10
Monday, Dec 1 - Mar 30

Introduction to Geometry
Monday, Jul 14 - Jan 19
Wednesday, Aug 13 - Feb 11
Tuesday, Aug 26 - Feb 24
Sunday, Sep 7 - Mar 8
Thursday, Sep 11 - Mar 12
Wednesday, Sep 24 - Mar 25
Sunday, Oct 26 - Apr 26
Monday, Nov 3 - May 4
Friday, Dec 5 - May 29

Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)
Sat & Sun, Sep 13 - Sep 14 (1:00 - 4:00 PM PT/4:00 - 7:00 PM ET)

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22
Friday, Aug 8 - Feb 20
Tuesday, Aug 26 - Feb 24
Sunday, Sep 28 - Mar 29
Wednesday, Oct 8 - Mar 8
Sunday, Nov 16 - May 17
Thursday, Dec 11 - Jun 4

Intermediate Counting & Probability
Sunday, Sep 28 - Feb 15
Tuesday, Nov 4 - Mar 24

Intermediate Number Theory
Wednesday, Sep 24 - Dec 17

Precalculus
Wednesday, Aug 6 - Jan 21
Tuesday, Sep 9 - Feb 24
Sunday, Sep 21 - Mar 8
Monday, Oct 20 - Apr 6
Sunday, Dec 14 - May 31

Advanced: Grades 9-12

Calculus
Sunday, Sep 7 - Mar 15
Wednesday, Sep 24 - Apr 1
Friday, Nov 14 - May 22

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Wednesday, Sep 3 - Nov 19
Tuesday, Sep 16 - Dec 9
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Oct 6 - Jan 12
Thursday, Oct 16 - Jan 22
Tues, Thurs & Sun, Dec 9 - Jan 18 (meets three times a week!)

MATHCOUNTS/AMC 8 Advanced
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Tuesday, Aug 26 - Nov 11
Thursday, Sep 4 - Nov 20
Friday, Sep 12 - Dec 12
Monday, Sep 15 - Dec 8
Sunday, Oct 5 - Jan 11
Tues, Thurs & Sun, Dec 2 - Jan 11 (meets three times a week!)
Mon, Wed & Fri, Dec 8 - Jan 16 (meets three times a week!)

AMC 10 Problem Series
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 10 - Nov 2
Thursday, Aug 14 - Oct 30
Tuesday, Aug 19 - Nov 4
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Mon, Wed & Fri, Oct 6 - Nov 3 (meets three times a week!)
Tue, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)

AMC 10 Final Fives
Friday, Aug 15 - Sep 12
Sunday, Sep 7 - Sep 28
Tuesday, Sep 9 - Sep 30
Monday, Sep 22 - Oct 13
Sunday, Sep 28 - Oct 19 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, Oct 8 - Oct 29
Thursday, Oct 9 - Oct 30

AMC 12 Problem Series
Wednesday, Aug 6 - Oct 22
Sunday, Aug 10 - Nov 2
Monday, Aug 18 - Nov 10
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Tues, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)

AMC 12 Final Fives
Thursday, Sep 4 - Sep 25
Sunday, Sep 28 - Oct 19
Tuesday, Oct 7 - Oct 28

AIME Problem Series A
Thursday, Oct 23 - Jan 29

AIME Problem Series B
Tuesday, Sep 2 - Nov 18

F=ma Problem Series
Tuesday, Sep 16 - Dec 9
Friday, Oct 17 - Jan 30

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!


MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT


Programming

Introduction to Programming with Python
Thursday, Aug 14 - Oct 30
Sunday, Sep 7 - Nov 23
Tuesday, Dec 2 - Mar 3

Intermediate Programming with Python
Friday, Oct 3 - Jan 16

USACO Bronze Problem Series
Wednesday, Sep 3 - Dec 3
Thursday, Oct 30 - Feb 5
Tuesday, Dec 2 - Mar 3

Physics

Introduction to Physics
Tuesday, Sep 2 - Nov 18
Sunday, Oct 5 - Jan 11
Wednesday, Dec 10 - Mar 11

Physics 1: Mechanics
Sunday, Sep 21 - Mar 22
Sunday, Oct 26 - Apr 26
0 replies
jwelsh
Jul 1, 2025
0 replies
k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
Random but useful theorems
booking   78
N 34 minutes ago by booking
There have been all these random but useful theorems
Please post any theorems you know, random or not, but please say whether they are random or not.
I'll start give an example:
Random
I am just looking for some theorems to study.
78 replies
booking
Jul 16, 2025
booking
34 minutes ago
EF bisects KL
Giahuytls2326   1
N an hour ago by Royal_mhyasd
Source: my teacher
Let \( ABC \) be an acute triangle inscribed in a circle \( (O) \). The altitudes \( BE \) and \( CF \) intersect at \( H \). Let \( M \) be a point on the minor arc \( BC \) . The lines \( MC \) and \( MB \) intersect the lines \( BE \) and \( CF \) at \( L \) and \( K \), respectively. Prove that the line \( EF \) passes through the midpoint of segment \( KL \).
1 reply
Giahuytls2326
3 hours ago
Royal_mhyasd
an hour ago
APMO 2025
motannoir   0
an hour ago
When will the subjects of apmo 2025 be published ? It usually appears right after imo.
0 replies
motannoir
an hour ago
0 replies
The refinement of GMA 567
mihaig   0
an hour ago
Source: Own
Let $a_1,\ldots, a_{n}\geq0~~(n\geq4)$ be real numbers such that
$$\sum_{i=1}^{n}{a_i^2}+(n^2-3n+1)\prod_{i=1}^{n}{a_i}\geq(n-1)^2.$$Prove
$$\left(\sum_{i=1}^{n}{a_i}\right)^2+\frac{2n-1}{(n-1)^3}\cdot\sum_{1\leq i<j\leq n}{\left(a_i-a_j\right)^2}\geq n^2.$$
0 replies
mihaig
an hour ago
0 replies
Useless identity
mashumaro   1
N an hour ago by mashumaro
Source: Own
Let $a_1$, $a_2$, $\dots$, $a_6$ be reals, and let $f(m, n) = \sum_{i=m}^{n} a_i$. Show that
\[ f(5,5)f(5,6) = f(2,4)f(3,4) = f(1,4)f(4,4) \implies f(1,1)f(1,2)f(4,5)f(4,6) = f(2,3)f(3,3)f(1,5)f(1,6) \]
1 reply
mashumaro
Yesterday at 6:01 AM
mashumaro
an hour ago
Inequality
SunnyEvan   1
N an hour ago by SunnyEvan
Find the smallest positive real number \( k \) such that the following inequality holds:
\[
x^k y^k z^k (x^2 + y^2 + z^2) \leq 3
\]for all positive real numbers \( x, y, z \) satisfying the condition \( x + y + z = 3 \)
Click to reveal hidden text
1 reply
SunnyEvan
an hour ago
SunnyEvan
an hour ago
A feasible refinement of GMA 567
Rhapsodies_pro   3
N an hour ago by mihaig
Source: Own?
Let \(a_1,a_2,\dotsc,a_n\) (\(n>3\)) be non-negative real numbers fulfilling \[\sum_{k=1}^na_k^2+{\left(n^2-3n+1\right)}\prod_{k=1}^na_k\geqslant{\left(n-1\right)}^2\text.\]Prove or disprove: \[\frac1{n-1}\sum_{1\leqslant i<j\leqslant n}{\left(a_i-a_j\right)}^2\geqslant{\left({\left(n^2-2n-1\right)}\sum_{k=1}^na_k-n{\left(n-1\right)}{\left(n-3\right)}\right)}{\left(n-\sum_{k=1}^na_k\right)}\textnormal.\]
3 replies
Rhapsodies_pro
Jul 21, 2025
mihaig
an hour ago
Show that every prime number n has property P
orl   9
N an hour ago by Adi1005247
Source: IMO Shortlist 1993, India 5
A natural number $n$ is said to have the property $P,$ if, for all $a, n^2$ divides $a^n - 1$ whenever $n$ divides $a^n - 1.$

a.) Show that every prime number $n$ has property $P.$

b.) Show that there are infinitely many composite numbers $n$ that possess property $P.$
9 replies
orl
Mar 15, 2006
Adi1005247
an hour ago
Integer sequences with a two-step recurrence
Assassino9931   1
N 2 hours ago by Assassino9931
Source: Bulgaria Autumn Tournament 2009 Grade 12
Fix an integer $m$. Determine the number of sequences $(a_n)_{n\geq 1}$ of integers such that $a_na_{n+2} = n^2 + m$ for all $n\geq 1$.
1 reply
Assassino9931
Today at 1:02 AM
Assassino9931
2 hours ago
China Mathematics Olympiads (National Round) 2007 Problem 5
Lei Lei   5
N 2 hours ago by Assassino9931
Let $\{a_n\}_{n \geq 1}$ be a bounded sequence satisfying
\[a_n < \displaystyle\sum_{k=a}^{2n+2006} \frac{a_k}{k+1} + \frac{1}{2n+2007} \quad \forall \quad n = 1, 2, 3, \ldots \]
Show that
\[a_n < \frac{1}{n} \quad \forall \quad n = 1, 2, 3, \ldots\]
5 replies
Lei Lei
Nov 28, 2010
Assassino9931
2 hours ago
Interesting
AlexCenteno2007   3
N 3 hours ago by math90
For positive real numbers \( x_1, x_2, \dots, x_{n+1} \), prove that
\[
\frac{1}{x_1} + \frac{x_1}{x_2} + \frac{x_1 x_2}{x_3} + \cdots + \frac{x_1 x_2 \cdots x_n}{x_{n+1}} \geq 4\left(1 - x_1 x_2 \cdots x_{n+1}\right).
\]
3 replies
AlexCenteno2007
Yesterday at 2:33 AM
math90
3 hours ago
Engine oils Gear oils
akhila2001   0
3 hours ago
Vasundhara Performance specializes in premium lubricants, industrial oils, and advanced solutions for maximum efficiency

https://vasundharaperformance.com/about-us/
0 replies
akhila2001
3 hours ago
0 replies
2500 VIMC mathematics competition
OWOW   56
N Today at 5:06 AM by sangriabeaver5
Hello! This is my second math competition I made up, this time, set in the year 2500 on a Venus base in the upper atmosphere.
This is basically AMC8 for Venusians.

2500 VIMC

What is the sum of all perfect squares less than 2500 in the form $9p^2$ where $p$ is prime?

Equilateral triangle $ABC$ has Area of $6$. If point $D$ is the midpoint of $AB$, then line $L$ is $CD$, which cuts the equilateral triangle in half. What is the sum of the perimeters of $ACD$ and $BCD$?

A Quadnumber is a number whose digits sum to $4$. How many positive 3-digit quadnumbers are there? (ex. $310$ is a quadnumber because it is positive, 3-digit, and the digits sum to $4$)

A wheel has $100$ equal sections with the numbers from $1$ to $100$ written on them. If you spin the wheel $N$ times, what is the probability that you will land on a prime number on any of the $N$ spins? (Clarification: Probability of Landing on a prime AT LEAST ONCE in the N spins)

Car A travels at a constant $10$ mph. Car B is a probabilistic car, and at the start of every hour, it gets the option for a $10\%$ chance of traveling at $5$ mph, an $80\%$ chance of traveling at $10$ mph, and a $10\%$ chance of traveling at $15$ mph. Once Car B decides on a speed, it acts like a normal car for the rest of the hour with a constant speed at which it picked at the start of the hour, and then the same options happen at the start of the next hour, and so on. Car A and Car B leave at the same time, and they both go in the same direction. What is the probability that Car B is right next to Car A (same speed, same position) for only $3$ hours in the next 6 hours?

If $x \equiv 2\pmod{3}$, and $x \equiv 3\pmod{4}$, and $x \equiv 4\pmod{5}$, what is the least positive value of $x$.

If $f(x)=3x-1$ and $g(x)$ is $x^2-3x+3$, what is $f(g(5)-f(4))+g(f(3)-g(2))+1$?



This competition is shorter than the Mars version (MIMC 2200) which was 10 questions. But this one I believe is harder than the MIMC. (designed to be, anyway) Btw here is the entire MIMC competition in case you missed it a couple weeks ago.



$25^2-10^2=$?

If ball A costs $\$1.50$, and ball B costs $\$1.75$, what is the average cost per ball if you buy $10$ of ball A and $4$ of ball B? Please write as an improper fraction

How many divisors does $2200^3$ have?

If $f(2200-k)=10(k-2)$, then what is $f(f(2^{11}))$?

If three distinct positive primes, $(p,q,r)$, sum to 50, what is the greatest possible value of $(r^p)-(q^p)$ such that $p<q<r$?

What positive integer $x$ satisfies: $x^5-(x+4)^3+10^{(5-3)}=0$?

If a circle with radius $1$ is inscribed in a square, which is inscribed in another circle, what is the area of the outer circle minus the area of the inner circle?

What is the sum of $b$ and $c$ such that the roots of $x^2+bx+c=0$ sum to $11c$ and multiply to $12b-7$?

If the operation $a\#b = \dfrac{(a-b+1)^2}{(b-a+1)^2}$, what is the largest possible value of $(3\#x)$ given that $x$ is a positive integer?

How many 4-digit numbers have the property that the sum of the thousands and tens digits combined is the square of the sum of the hundreds and ones digits combined?

Pls write all solutions like this:
ex. S1 (Contest: either VIMC or MIMC)
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Completed problems (I'm not going to show solutions here so other people can solve it)
MIMC: 1,2,3,4,5,6,7,8,9 (9/10 done)
VIMC: 1,3,4,6,7 (5/7 done)
56 replies
OWOW
Jul 16, 2025
sangriabeaver5
Today at 5:06 AM
Website to learn math
hawa   180
N Today at 2:17 AM by Inaaya
Hi, I'm kinda curious what website do yall use to learn math, like i dont find any website thats fun to learn math
180 replies
hawa
Apr 9, 2025
Inaaya
Today at 2:17 AM
Probability problem
CJB19   10
N May 20, 2025 by CJB19
Me and my math teacher got different answers for this so I'm asking you all:

Clare has a spinner split into fourths and labeled A, B, C, and D so that there is a $\frac{1}{4}$ chance of it landing on each section. She plays a game where if you spin it and it lands on A, you win. However, if you don't land on A the first time, you can try again. What are the odds of winning? (You don't spin again if you land on A the first time)
10 replies
CJB19
May 19, 2025
CJB19
May 20, 2025
Probability problem
G H J
G H BBookmark kLocked kLocked NReply
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
CJB19
178 posts
#1
Y by
Me and my math teacher got different answers for this so I'm asking you all:

Clare has a spinner split into fourths and labeled A, B, C, and D so that there is a $\frac{1}{4}$ chance of it landing on each section. She plays a game where if you spin it and it lands on A, you win. However, if you don't land on A the first time, you can try again. What are the odds of winning? (You don't spin again if you land on A the first time)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
pingpongmerrily
4055 posts
#2 • 1 Y
Y by OTA1
do you get 2 max tries?
the odds would be 7/16 i think
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Yiyj
434 posts
#3 • 1 Y
Y by OTA1
If you only get two tries…
This post has been edited 1 time. Last edited by Yiyj, May 19, 2025, 6:55 PM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Soupboy0
633 posts
#4
Y by
literally $1$ if forever though :skull:
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Capybara7017
682 posts
#5
Y by
Soupboy0 wrote:
literally $1$ if forever though :skull:

duh
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
red_raven_9
6 posts
#6
Y by
x/y

but I don't know what x or y is...

:cool: :wow:
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Inaaya
502 posts
#7 • 1 Y
Y by booking
1- (3/4)^n for n spins?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
valisaxieamc
606 posts
#8
Y by
What did u get cause I got Click to reveal hidden text
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
CJB19
178 posts
#9
Y by
7/16 is correct
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ScrappyBoss0825
5 posts
#10
Y by
It's 7/16. What did your math teacher get?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
CJB19
178 posts
#11
Y by
Idk she just said she got something different than I did (This was a brief interaction during a lesson) but I wasn't sure what it was so I asked AoPS (I was wrong because I suck at probability)
Z K Y
N Quick Reply
G
H
=
a