
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
The leg of a right triangle is an exact cube, the other leg represents the difference between this cube and its side (i.e., the first power), and the hypotenuse is the sum of the cube and its side. Find the sides.

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