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Antarctica. If your heater fails, you will probably survive as long as you have shelter. If your AC fails in Al Aziziyah, a week at 60 C will probably kill you no matter how much shade and water you have.

Probably -60 C because if you were to live in that for that long, unless you had a very good shelter, you would likely freeze to death. Temperatures that cold, i'm sure can give you frost by within minutes, or even seconds. You probably wouldn't live long if you were stuck out in that. 60 C would be super hot to be in, but with plenty of water, you could probably survive for quite a while in that because the world's hottest temp ever recorded is only a few degrees below that.

By the conditions you have named, it would be neither, since you have allowed for the ability to prevent being exposed to those conditions by changing the air temperature you would be in. (AC for the high heat, heaters for the extreme cold). Now, if you had to be exposed for a period of time to each of the conditions with nothing more than clothing and food/water, It would be harder to survive in the +60C heat because that heat would be continuously affecting your body, and your body would be at continuous work trying to cool itself. At -60C you can at least shield yourself from that cold with just some layers of clothing and coats (I am assuming no wind chill to worry about).

its better to be cold, because its easier to get warmer than cooler

its definitely in -60c! man, you could die!! lol

-60ºC