Explanation:

- Hercules (1)________ to hold it for Atlas while the latter went looking (2)________ golden apples. This sentence sets up the scenario where Hercules temporarily takes on Atlas's burden. We are looking for a past tense verb that sets up an exchange or temporary arrangement.

- For blank (2)________ golden apples, the context suggests "for" as they were the object of a quest.

- For blank (3), the correct word would describe Hercules's physical and mental state while holding a significant burden.

- Option 1, tackling: Implies dealing with something actively, but doesn't necessarily convey difficulty.

- Option 2, struggling: Conveys both the effort and difficulty involved. It matches the context of Hercules dealing with the immense weight of the sky.

- Option 3, seeking: Implies looking for something and doesn't fit the context of holding the sky.

- Option 4, coping: Suggests managing or handling something, but doesn't convey difficulty clearly like struggling does.

- The weight of the sky (4)_______ Hercules sweat and groan. "Make" would be appropriate as it causes an effect.

- Now Atlas did not want to (5) ________ a job as arduous as that. The blank should be filled with a word that indicates acceptance or involvement.