
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
Positive integers less than 1000 that are not divisible by 5 and 7 can be found by subtracting from the total count of positive integers less than 1000 the count of integers that are divisible by 5, 7, and the count of integers that are divisible by both 5 and 7. Calculate the total count of integers that are not divisible by 5 and 7.

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