
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

Janaína bought a different deck: there are 180 cards numbered from 1 to 180, with even cards being red and odd cards being blue.

a) How many cards are multiples of 7 and red?

b) How many cards are multiples of 7 or red?

c) Janaína randomly chose 80 cards, all of which, coincidentally, are black. What is the minimum number of cards that are multiples of 7?

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