
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
Given the arithmetic sequences \(\{a_{n}\}\) and \(\{b_{n}\}\) with the sums of the first \(n\) terms being \(S_{n}\) and \(T_{n}\), respectively, and \(\frac{S_{n}}{T_{n}}=\frac{3 n+2}{2 n+1}\). What is \(\frac{a_{7}}{b_{5}}\)?

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