Solo Quests
From LensWiki
The reward for solo quests is a few quest points and some gold. The quest timer for completing a quest is 3 minutes (2 for Antrippans).
KILL QUESTS: Kill a certain mob. When you come across it, it will have [TARGET] along with its room description.
CONSULT QUESTS: Sends you to go to a very specific mobile, with an "X" in front of it (thief-type mobs may not be marked this way though). Once you have found the mob, type 'consult'. If it is the right one, it will tell you the answer and instruct you to head back to complete.
CAPTURE QUESTS: Capture a creature and bring it back to the questmaster. You will need to set your SUBDUE mode, and then BIND the subdued mob with a rope (or similar object). The rope must be in your inventory.
DELIVERY QUESTS: Find the mob the quest being has directed you to, and give it the package. If it is the right mob, it will tell you to head back for completion. Packages have a fixed weight of 40, and can be moved with the PUSH command if it is too heavy for your inventory.
Crafting Quests
In addition to normal solo quests, there are also certain questmasters who give out special quests which require the use of one or more crafting skills to complete.
GATHERING QUESTS: Quest mob tells you a general area, crafting skill, and a material to gather.
COMMISSION QUESTS: You get a short item description, the item type/material/skill, and the person you have to deliver it to.
Global quests and some other imm-run quests can also be completed solo.