
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
In acute triangle $\text{ABC}$, the sides opposite to angles $\text{A}$, $\text{B}$, and $\text{C}$ are $\text{a}$, $\text{b}$, and $\text{c}$ respectively. Given that $\sin \text{A} = \frac{3}{5}$ and $\tan (\text{A} - \text{B}) = -\frac{1}{2}$.

(1) Find the value of $\tan \text{B}$;

(2) If $\text{b} = 5$, find the value of $\text{c}$.

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