# Problem Writing Party: July 25th - Aug 14th

Problem Writing Party 11 had lots of comments with active back and forth discussion. It's great that the community is helping each other improve posed problems, so that we can collate much better challenge quizzes.

Once again, I'm working on creating the challenge quizzes, and will update the following list ASAP. Some of you would also have received B-notifications that your problems were added to the quizzes over the course of the previous week. Keep it up! We value your submissions, and would love to feature more of them. Here are the quizzes that the Brilliant community helped create:

New Brilliant Challenge Quizzes

Absolute Value: Level 2, Level 3, Level 4
Linear Inequalities: Level 1, Level 2, Level 3
Radical Expressions: Level 1, Level 2, Level 3, Level 4
Uniform Circular Motion: Level 2, Level 4

New chapters
Operator Search: Level 2, Level 3, Level 4



Let's kick off our 12th Problem Writing Party!

## How it Works

The party starts right now (July 25th, 2016) and will last for the next two weeks. Throughout the two weeks, we will be focusing on writing awesome problems for the topics listed in quizzes that need your help on the publish page. We will be picking the best problems for each topic and they will be immortalized and formed into a challenge quiz. By participating, you will improve your presentation skills and learn how to write engaging problems that wow others!

The topics are:

 Topic Descriptions Great Problems Partial Fractions Is it true that $$\dfrac{4}{x^2-2^2} = \dfrac1{x-2} -\dfrac1{x+2}$$? Level 2, 3, 4 Geometric Progressions If I run 1 mile every day, and each day I run 10% more than the previous day, on which day onwards would I have run over 2 miles? Level 1, 2, 3 Vieta's formula If $$P,Q,R$$ are roots to the equation $$x^3 + 2x^2 + x + 1 = 0$$, then prove that $$P^3 + Q^3 + R^3 =-5$$. Level 3, 4, 5 Momentum How do the pool balls move after they collide? Level 2, 3 Taylor Series Why is $$1 -\dfrac13 +\dfrac15 - \dfrac17 + \dfrac19 - \cdots = \dfrac\pi4$$? Level 3, 4 Differentiation Rules True or False? $$\dfrac d{dx} \left [ f(x) g(x) \right ] = \left [\dfrac d{dx} f(x) \right ] \left [\dfrac d{dx} g(x) \right ]$$ Level 2 Implicit Differentiation What is the gradient of the curve $$x^2 +y^2 = 2$$ when $$x= 1$$? Level 2 Abstract Data Types How would you maintain a list to facilitate efficient deletion? Level 3

## Use this note to

1. Ask questions about the party or brainstorming ideas from Brilliant staff.

2. Share links to great relevant problems.

3. Bounce your ideas off each other to help formulate the best problem you can.

4. If you're posting your problems, please keep it to one rooted comment (and I will be merging such comments from the same person). This helps us keep the page more orderly.
You can link to your own problems by using the markdown syntax of [text](url link).

Note by Calvin Lin
1 year, 9 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

I nominate @Jonas Katona's question for Taylor Series.

- 1 year, 9 months ago

Thank you for your support!! :) I will definitely post - and come up with some more problems - before this party ends. I totally agree with Rishabh: there are so many great topics for this party!

- 1 year, 9 months ago

Here's my contribution: Rolling Rugby, Bizarre Hyperbola for Implicit Differentiation

Coyote VS Road Runner, Geometric Mystery for Geometric Progression

Evil 666 for Taylor Series

Power of Derivatives for Differentiation

The Roots Are Right There! for Vieta's formula

The Hidden Prime for partial fractions.

- 1 year, 9 months ago

Wow your first question is a very creative setup. I tried ot solve it via geometry alone but I failed miserably. Looking forward to more questions!

- 1 year, 9 months ago

Thanks. I agree that things will get much easier with calculus. As a matter of fact, I was a bit surprised with the solution myself. 😉

- 1 year, 9 months ago

When is the next party coming?

- 1 year, 5 months ago

Comment deleted Jul 31, 2016

Hmmm all the questions you posted here requires a lot of different math background, which end up making the question unnecessarily tedious. Do you have any straightforward questions?

- 1 year, 9 months ago

New problem on Differentiation Rules:

https://brilliant.org/problems/chained/

- 1 year, 9 months ago

May I add some new and old problems of mine? I think they're somehow overrated though :)

- 1 year, 9 months ago

Woah! Your last question is great!!!! And I thought I want to find all the roots first =D

- 1 year, 9 months ago

- 1 year, 9 months ago

Hmmmm, that doesn't look like partial fractions, but instead, it should be "long division of polynomials".

- 1 year, 9 months ago

Okay... Then I'd love for it to be in "long division of polynomials". I will try to think of another one :)

- 1 year, 9 months ago

Haha, no problem. In the meantime, you can read up the wiki page: partial fractions.

- 1 year, 9 months ago

and something is wrong with my correct answer choice... P.S. I am back from summer vacation to Brilliant! :)

- 1 year, 9 months ago

Here are my contributions

- 1 year, 9 months ago

- 1 year, 9 months ago

i challenge everybody and anybody to do this : " https://brilliant.org/problems/its-level-6-isnt-it/?ref_id=1244287 " let's see if you like that he he !!

- 1 year, 9 months ago

Here is one for geometric progressions.

- 1 year, 9 months ago

Nice question, I see that there are indeed many ways to solve this question. Not sure why it's in Level 4 though. Hahah

- 1 year, 9 months ago

you sure talk a lot ............. i will listen to your babbling after you have solved it . ha ha!!

- 1 year, 9 months ago

were you able to solve that ques with even one of your 'methods' haHAHA!!!

- 1 year, 9 months ago

- 1 year, 9 months ago

These are nice! Keep them comingg

- 1 year, 9 months ago

- 1 year, 9 months ago

- 1 year, 9 months ago

This is nice. Got anymore of these?

- 1 year, 9 months ago

No I have posted problem on different logics except my set. Sorry!!

- 1 year, 9 months ago

- 1 year, 9 months ago

All my entries will be here. I will try to write some more problems.

Taylor Series:

Partial fractions:

Geometric progressions:

Differentiation rules:

Implicit differentiation:

- 1 year, 9 months ago

Love your partial fractions question. And I thought I need to use the quadratic formula. You got me there. Got more?

- 1 year, 9 months ago

I'll have to think of them. Thanks!

- 1 year, 9 months ago

I accept! Now, to come up with some new and creative problems...

- 1 year, 9 months ago

Remember to post them hereeeeeee! =D

- 1 year, 9 months ago

Okay! Here's a simple momentum problem.

- 1 year, 9 months ago

I have two Basic problems on G.P : 1 , 2

one problem on Implicit Differentiation :1

- 1 year, 9 months ago

Geometric Progressions

Taylor/Maclaurin Series

Partial Fractions

Implicit Differentiation

- 1 year, 9 months ago

Wow! Luv your circle question. I didn't expect that GeometricProgression is essential in solving this quesiton! Reshared!!

Do post moreeeeee

- 1 year, 9 months ago

Is there any problem with the "Quiz that need help" link? It seems to direct to the list in the last party.

- 1 year, 9 months ago

I think it's fixed now.

- 1 year, 9 months ago

Here's one for Taylor Series (application).

- 1 year, 9 months ago

Sorry was busy. Will definitely contribute in next brilliant writing party

- 1 year, 9 months ago

- 1 year, 9 months ago

Here are my fourth entries of problems:
Vieta's formula 4
Differentiation Rules 1

- 1 year, 9 months ago

Here is my second entry of problems:
Vieta's formula 1
Implicit Differentiation 1

- 1 year, 9 months ago

Here is my first entry of problems:

- 1 year, 9 months ago