
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
Find the $\emph{positive}$ real number(s) $x$ such that $\frac{1}{3}\left( 4x^2-1\right) = \left( x^2-60x-12\right)\left( x^2+30x+6\right)$.

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