
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
The letters of the alphabet each have a unique integer value assigned to them. Given $J = 15$, find the value of $A$ if the following conditions hold: 
- The word $JAVA$ has a value of 50 points.
- The word $AJAX$ is valued at 53 points.
- The word $AXLE$ equals 40 points, and $L = 12$.

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