
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
"The Arithmetic Classic of the Gnomon and the Circular Paths of Heaven" is an important ancient Chinese mathematical text, estimated to have been written in the 4th or 5th century. The extant version of "The Arithmetic Classic of the Gnomon and the Circular Paths of Heaven" consists of three volumes, among which the last volume, "On the Unknown Number of Objects," contains the following problem: "Now there are objects, the number of which is unknown. Counting them by threes, there are two left over; counting them by fives, there are three left over; counting them by sevens, there are two left over. Question: How many objects are there?" This means: "There is a pile of objects, the number of which is unknown. When counted in groups of three, two are left over; when counted in groups of five, three are left over; when counted in groups of seven, two are left over. How many objects are there in total?" Try to calculate the minimum number of objects.

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