
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
As shown in the diagram to the right, a rectangular prism with dimensions 15, 5, and 4 has a smaller rectangular prism with dimensions \( y, 5, x \) (where \( x \) and \( y \) are integers) removed from it. The volume of the remaining part is 120. Find \( x \) and \( y \).

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