
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
Introduce a new operation \* among all real numbers, defined as follows: ① For any real numbers $a, b$, we have $a \* b = (a + 1)(b - 1)$ ② For any real number $a$, we have $a^{*2} = a \* a$. When $x = 2$, calculate the value of $[3 \* (x^{*2})] - 2 \* x + 1$.

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