
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 long wooden stick has three types of marked lines. The first type divides the stick into 10 equal parts; the second type divides the stick into 12 equal parts; and the third type divides the stick into 15 equal parts. If the stick is sawed at each marked line, into how many pieces will the stick be divided in total?

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