
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
$\{a_{n}\}$ is an arithmetic sequence with a common difference not equal to zero, and the sum of the first $n$ terms is $S_{n}$. If $S_{5}=15$, $a_{3}$, $a_{6}$, and $a_{12}$ form a geometric sequence, then $\frac{S_{2023}}{a_{2023}}=\_\_\_\_\_\_$.

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