
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 $\oplus$ such that for all real numbers $a$, $b$, $c$, and a constant integer $k$, $\oplus(a, b, c, k) = b^2 - ka^2c$. What is the value of $\oplus(2, 5, 3, 3)$?

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