
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
Circles with centers at $(1,3)$ and $(15,8)$ have radii $3$ and $10$, respectively. The equation of a common external tangent to the circles can be written in the form $y=mx+b$ with $m>0$. What is $b$?
A) $\frac{737}{171}$
B) $\frac{738}{171}$
C) $\frac{739}{171}$
D) $\frac{740}{171}$
E) $\frac{741}{171}$

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