
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]


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The New Continental Mathematics Institute is arranging an event for its new students. The incoming class has fewer than 550 students. When the students form columns of 19, 15 people are in the last column. When they line up in columns of 17, 10 are in the last column. Determine the total number of students in the incoming class.

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