
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 complete square formula can often be used to solve many mathematical problems through appropriate transformations.
1. If $x+y=6$ and $x^{2}+y^{2}=30$, find the value of $xy$.
2. If $3a+b=7$ and $ab=2$, find the value of $3a-b$.

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