Mathematical Challenge #001

Paul is building a room.

The room is a rectangular prism.

Paul’s room is also magical.

The length of the room is always equal to

six metres times the number of apples in the

basket in the middle of the room.

The height of the room is always equal to

the number of apples times feet

times e to the power of the width divided

by feet.

The width is equal to the natural log

of a randomly generated number x times

the number of houses in the neighborhood

times the square root of

hectacres plus seven inches.

The number of houses in the neighborhood is

ten thousand minus the square of the number of

drinks Paul has had.

Paul drinks twice as many shots as there are

apples in the basket.

The number of apples is kept equal to

the width raised to the power of x

by a magical genie.

Knowing all this, how does the volume change

as x changes?

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