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# 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
12 months ago

Sort by:

I nominate @Jonas Katona's question for Taylor Series. · 12 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! · 11 months, 4 weeks 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. · 11 months, 4 weeks 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! · 11 months, 3 weeks 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. 😉 · 11 months, 3 weeks ago

When is the next party coming? · 7 months, 4 weeks ago

Comment deleted 11 months ago

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? · 11 months, 3 weeks ago

New problem on Differentiation Rules:

https://brilliant.org/problems/chained/ · 11 months, 1 week ago

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

Vieta's 3 · 11 months, 2 weeks ago

Woah! Your last question is great!!!! And I thought I want to find all the roots first =D · 11 months, 2 weeks ago

Another partial fraction question · 11 months, 2 weeks ago

Hmmmm, that doesn't look like partial fractions, but instead, it should be "long division of polynomials". · 11 months, 2 weeks ago

Okay... Then I'd love for it to be in "long division of polynomials". I will try to think of another one :) · 11 months, 2 weeks ago

Haha, no problem. In the meantime, you can read up the wiki page: partial fractions. · 11 months, 2 weeks ago

and something is wrong with my correct answer choice... P.S. I am back from summer vacation to Brilliant! :) · 11 months, 2 weeks ago

Here are my contributions

· 11 months, 2 weeks ago

· 11 months, 3 weeks 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 !! · 11 months, 3 weeks ago

Here is one for geometric progressions. · 11 months, 3 weeks 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 · 11 months, 3 weeks ago

you sure talk a lot ............. i will listen to your babbling after you have solved it . ha ha!! · 11 months, 3 weeks ago

were you able to solve that ques with even one of your 'methods' haHAHA!!! · 11 months, 2 weeks ago

These are nice! Keep them comingg · 11 months, 3 weeks ago

GEOMETRIC PROGRESSION · 11 months, 3 weeks ago

VIETA'S FORMULA · 11 months, 3 weeks ago

This is nice. Got anymore of these? · 11 months, 3 weeks ago

No I have posted problem on different logics except my set. Sorry!! · 11 months, 3 weeks ago

TAYLOR SERIES · 11 months, 3 weeks 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:

· 11 months, 3 weeks ago

Love your partial fractions question. And I thought I need to use the quadratic formula. You got me there. Got more? · 11 months, 3 weeks ago

I'll have to think of them. Thanks! · 11 months, 3 weeks ago

I accept! Now, to come up with some new and creative problems... · 11 months, 3 weeks ago

Remember to post them hereeeeeee! =D · 11 months, 3 weeks ago

Okay! Here's a simple momentum problem. · 11 months, 3 weeks ago

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

one problem on Implicit Differentiation :1 · 11 months, 3 weeks ago

Geometric Progressions

Taylor/Maclaurin Series

Partial Fractions

Implicit Differentiation

· 11 months, 4 weeks ago

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

Do post moreeeeee · 11 months, 3 weeks ago

Is there any problem with the "Quiz that need help" link? It seems to direct to the list in the last party. · 12 months ago

I think it's fixed now. · 11 months, 4 weeks ago

Here's one for Taylor Series (application). · 12 months ago

Sorry was busy. Will definitely contribute in next brilliant writing party · 11 months, 1 week ago

Here are my fourth entries of problems:
Vieta's formula 4
Differentiation Rules 1 · 11 months, 3 weeks ago

Here is my second entry of problems:
Vieta's formula 1
Implicit Differentiation 1 · 11 months, 4 weeks ago

Here is my first entry of problems:

Partial Fractions 1
Geometric Progressions 1. · 11 months, 4 weeks ago

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