
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 six piles of apples, and the number of apples in each pile forms an arithmetic sequence. Junjun selects one of the piles and takes out 150 apples, then distributes these to the remaining 5 piles with 10, 20, 30, 40, and 50 apples respectively. After the distribution, Junjun magically finds that the number of apples in these 5 piles correspond to the 2, 3, 4, 5, and 6 times the number of apples in the pile he selected. How many apples are there in total in the six piles?

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