
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 two arithmetic sequences $\{a_n\}$ and $\{b_n\}$ with the sum of their first $n$ terms denoted as $(A_n, B_n)$. It is known that $\frac{A_n}{B_n} = \frac{5n+12}{2n+3}$, find the value of $\frac{a_5}{b_5} + \frac{a_7}{b_{12}}$.

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