
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
Given that points $ D$  and  $ E$  lie on $ \overline{BC}$  and $ \overline{AC}$  respectively, if $ \overline{AD}$  and  $ \overline{BE}$  intersect at $ T$  so that $ AT/DT \equal{} 3$  and $ BT/ET \equal{} 4$, calculate the value of $ CD/BD$.

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