
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:
\[
  \frac{144 \left( \frac{1}{14} - \frac{1}{19} \right) 
          + 196 \left( \frac{1}{19} - \frac{1}{10} \right) + 361 \left( \frac{1}{10} - \frac{1}{14} \right)}{
        12 \left( \frac{1}{14} - \frac{1}{19} \right) 
          + 14 \left( \frac{1}{19} - \frac{1}{10} \right) + 19 \left( \frac{1}{10} - \frac{1}{14} \right)} \, .
\]

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