> I am far along in the game, so this post inevitably will contain spoilers.
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> Could someone please give me a hint about what to do next? Here is a list of my problems (well, the ones I'm having with the game anyway).
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> I am trying to remove an angry feline from my living quarters.

I believe that Caroline's father works in Loading Dock A, where you first arrived. Perhaps as the father of a cat owner, he might be able to supply you with some bait. (The cat chase will take you a few more places, but you do have to get the cat moving. You will corner her in a place where you can shut the door.)
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> I have explored some colored caves and found a miner, but I did not have the tools to free him.

Take a watery exit out of those colored caves and you'll obtain it.

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> I have stolen something from a witch but can't find where to use it. (I also read a message to her from a guy who wants a particular mineral, but I can't locate him (or the mineral).)
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He's a looney tune who likes shiny things. You may have gotten one of your stones from him, but the message to Verna is really not immediately relevant to the game.

Verna, however, was the one who brought in that evil, evil vending machine. So she would be the one who has the tools to open it. Well, she DID before you broke in.

> I can't reach the last component to do to a repair job in the corridor outside my living quarters. Perhaps this would lead to my being able to get a Spiffy-Cola for the brat?

No, the rubber tube job will be useful for another reward. See my answer to the miner question.

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> A shady business man I know of wants another piece of jewlery, but I don't have one.
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That's because you haven't returned Caroline's cat yet. :)

> You're Carrying:
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> 4 Nanoxite Stones
> Scrap of Paper
> Business Card
> Fire Extinguisher
> Pet Leash
> 5 Peryolitium Shards
> I.D. Card
> Small Key
> Crank
> Matches
> Leather Briefcase
> Passcard (CQ10001)
> Silver Key
> Pickaxe
> Washcloth
> Employment Papers
> Passcard (CQ20024)
> Gold Key
> Wrench
> Round Pot
> ISO Access Form
> Passcard (CQ30021)
> Peryolitium Key
> Noise Filter Headset
> Small Mirror
> Violations Report
> Passcard (CQ60537)
> Vault Key
> Knife
> Sleeping Pills
> Experimental Results Papers
> Supply Room Card
> Dragon Key
> ISO Energy Pulse Gun
> Rock
> Beetle Analysis Papers
> Mine Access Card
> Crowbar
> Tranquilizer Gun
> Tranquilizer Spray
> Peryolitium Shell Diagrams
> OSA Card
> Light Tube
> Military Uniform
> ISO Accident Report
> Izacladia Access Card
> Radio Receiver
> ISO Officer's Cap
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> Recent Events:
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> Now you know that Solomon Kepler is not only the Director of Station Operations on the Corolis but also a captain in the ISO. This makes him doubly a threat. You can't afford to get caught by the ISO, but you may also have to worry about the other GSIP personnel around the station. You feel relieved to have Kevin Johnson on your side, at least. You wonder why the ISO has blockaded the passenger docking bay. Maybe Kepler is planning a getaway. In that case, you'll have to stop him quickly.

-Mandi aka Chaos