
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
Paul starts at  $1$  and counts by threes:  $1, 4, 7, 10, ... $ . At the same time and at the same speed, Penny counts backwards from  $2017$  by fives:  $2017, 2012, 2007, 2002,...$  . Find the one number that both Paul and Penny count at the same time.

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