I haven't read through the rest, and I don't particularly mean anything by it as far as GPT's capabilities are concerned, but I can't let a maths PhD calling th

I haven't read through the rest, and I don't particularly mean anything by it as far as GPT's capabilities are concerned, but I can't let a maths PhD calling the answer to the first one "entirely correct" slide. > is given by the square root of the difference of the squares of the x-coordinates plus the difference of the squares of the y-coordinates. This would be (in the example it then gives) either `sqrt(x^2 - a^2) + y^2 - b^2` or `sqrt(x^2 - a^2 + y^2 - b^2)`, both entirely incorrect. Which does illustrate something important about human capabilities. A person who knows the right answer is likely to see the right answer when presented with a wrong answer that's sufficiently close to it.