
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
1. There are 5 different Chinese books, 4 different English books, and 3 different Japanese books. There are $\boxed{\text{different methods}}$ to choose books from them.
2. There are 5 different Chinese books, 4 different English books, and 3 different Japanese books. There are $\boxed{\text{different methods}}$ to choose two books that are not in the same language.
3. There are 5 identical Chinese books, 4 identical English books, and 3 identical Japanese books. There are $\boxed{\text{different methods}}$ to choose books from them.

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