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Very Hard Math

Because what's more fun than very hard math? Solve these problems. Show your work.

A 5 foot-long cylindrical pipe has an inner diameter of 6 feet and an outer diameter of 8 feet.

If the total surface area is kn(n=Pi) ,what is the value of k ?

If the number 86 in base ten is represented as 321 in base b, what is the base-ten representation of the number 123 in base b?

A traveling salesperson shows up at the apartment of a math teacher to peddle her wares. The salesperson discovers that the teacher has 3 children and inquires as to their ages. The teacher answers, The sum of my childrens' ages is 13 the salesperson immediately declares, That's not enough information to deduce your kids ages! the teacher continues,Well the product of their ages is the apartment # The sales person checks for the # thinks for a minute and declares that is still not enough information for me to figure out their ages So the teacher says, Oh i forgot to mention the eldest is allergic to chocolate. At which point the salesperson replies,Aha i know all their ages!!! What are the ages of the children?

*Here's the deal, I'm the best there is. I wake up in the morning and I urinate excellence. And nobody can hang with my stuff. I'm just a big hairy American winning machine.*

I'm very humble, too.

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