Part 1 gave us the largest answer, Vicuna gives us the smallest. As a reminder, the correct answer is:

The first time I tested Vicuna, it said the following.

I found the “approximately 0.50000000” statement rather amusing.

I went back today to try again, and got another answer featuring “only an LLM could do this” mathematics.

Calculate πφ/e where φ is the golden ratio.

The golden ratio, denoted by the Greek letter phi (φ), is approximately
equal to 1.618033988749895.
To calculate πφ/e, we need to first calculate πφ and then divide it by e.
We can calculate πφ by using the definition of the golden ratio:
φ = (1 + sqrt(5))/2
Then, we can calculate πφ by taking the arctangent of the golden ratio:
πφ = arctan(φ)
Using a calculator, we get:
πφ ≈ 1.5707963267948966
Finally, we can divide πφ by e to get:
πφ/e ≈ 1.5707963267948966 / 2.718281828459045
Using a calculator, we get:
πφ/e ≈ 0.5721565957184085
Therefore, πφ/e ≈ 0.5721565957184085.