
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
Define a new operation. $a \otimes b = a^2 - |b|$, such as $3 \otimes (-2) = 3^2 - |-2| = 9 - 2 = 7$, calculate the following:
(1) $(-2) \otimes 3$  
(2) $5 \otimes (-4)$  
(3) $(-3) \otimes (-1)$.

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