
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, a cuboid with length, width, and height of 15 cm, 5 cm, and 4 cm respectively has a smaller cuboid with length, width, and height of \( y \) cm, 5 cm, and \( x \) cm (where \( x \) and \( y \) are integers) cut out from it. The remaining volume is 120 cm³. Find \( x + y \).

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