
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
In a packing workshop, there are 2 types of boxes: one that holds 20 parts and another that holds 27 parts. A batch of parts ranging from 500 to 600 pieces arrived for packing. When packing the parts into the first type of box, 13 parts were left unpacked, and when packing into the second type of box, 7 spots were left unfilled. How many parts were in the batch?

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