
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
Antônio has a parrot that performs fantastic calculations with integers. When Antônio whispers certain numbers into its ear, the parrot multiplies that number by 5, then adds 14, then divides the result by 6, and finally subtracts 1, and shouts the result. However, the parrot knows nothing about decimals, so sometimes it cannot shout any answer at all.

(a) If Antônio whispers the number 8, what number will the parrot shout?

(b) If the parrot shouted 3, what was the number that Antônio whispered into its ear?

(c) Why does the parrot never shout the number 7?

(d) What numbers, when whispered by Antônio, cause the parrot to respond?

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