
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
Evaluate the expression
\[
  \frac{169 \left( \frac{1}{19} - \frac{1}{23} \right) 
          + 361 \left( \frac{1}{23} - \frac{1}{17} \right) + 529 \left( \frac{1}{17} - \frac{1}{19} \right)}{
        13 \left( \frac{1}{19} - \frac{1}{23} \right) 
          + 19 \left( \frac{1}{23} - \frac{1}{17} \right) + 23 \left( \frac{1}{17} - \frac{1}{19} \right)} \, .
\]

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