
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 store received fewer than 600 but more than 500 plates. When they tried to arrange the plates in groups of ten, three plates were missing to make complete groups of ten. When they tried to arrange them in dozens (12 plates), 7 plates remained. How many plates were there?

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