
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
A jar is filled with soybeans. In order to estimate the number of soybeans in the jar, 200 beans are taken out, dyed red, then put back into the jar. The soybeans in the jar are then thoroughly mixed. After that, 60 beans are randomly taken out, and it is found that 5 of them are red. Calculate the approximate number of soybeans in the jar.

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