
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A rectangular sheet of metal is 15 in. by 20 in. From each corner, a square of side $y$ inches is cut off. The resulting flaps are folded up to form an open box. Find the expression for the volume of this box.
**A)** $300y - 70y^2 + 4y^3$
**B)** $4y^2 - 70y + 300$
**C)** $4y^3 + 70y^2 + 300y$
**D)** $300y - 70y + 4y^3$
**E)** $4y^3 - 70y^2 + 300y$

Present the answer in LaTex format: \boxed{Your answer}
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