
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
<u>Set 1</u>**p1.** Assume the speed of sound is  $343$  m/s. Anastasia and Bananastasia are standing in a field in front of you. When they both yell at the same time, you hear Anastasia’s yell  $5$  seconds before Bananastasia’s yell. If Bananastasia yells first, and then Anastasia yells when she hears Bananastasia yell, you hear Anastasia’s yell  $5$  seconds after Bananastasia’s yell. What is the distance between Anastasia and Bananastasia in meters?**p2.** Michelle picks a five digit number with distinct digits. She then reverses the digits of her number and adds that to her original number. What is the largest possible sum she can get?**p3.** Twain is trying to crack a  $4$ -digit number combination lock. They know that the second digit must be even, the third must be odd, and the fourth must be different from the previous three. If it takes Twain  $10$  seconds to enter a combination, how many hours would it take them to try every possible combination that satisfies these rules?


PS. You should use hide for answers.

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