
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
There are two jars. In Jar A, the number of white balls to red balls is in the ratio of $3:2$. Jar B contains white balls and blue balls in a ratio of $5:3$. If there are 15 white balls in Jar B, how many blue balls are there?

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