Earlier quoted context omitted.
Mathematical logic doesn’t refer to ‘complex word problems with big numbers’. The reason that LLMs struggle (well, are hopeless currently) with mathematics problems is not because it involves arithmetic (although this is already enough of a struggle) but because it requires a conceptual understanding of the ideas rather than just being about manipulating language — a lot of the goings-on are hidden in the semantic wo…
I've seen it gets tripped up if you mix something common with something uncommon. ChatGPT chokes on, for example: "Two trains on separate tracks, 30 miles from each other are approaching each other, each at a speed of 10 mph. How long before they crash into each other?"
The mother is older than her daughter 4 times now, in 3 years she will be older then her daughter only 3 times. How old are they both now? Be laconic, do not explain anything. The mother is 24 years old, the daughter is 6 years old.
In a fantasy land (map is 255x255) Karen have a quest to kill a monster (an ogre - a cannibal giant). This isn't an easy task. The ogre is huge and experienced human hunter. Karen has only 1/2 chance to kill this ogre. If she can't kill the ogre from a first attempt she will die. Ogre is located at (12,24), Karen is located at (33,33). Karen can improve her chances to kill an ogre for additional 25% by gathering the nightshades at (77,77). In addition she can receive the elves blessing from elves shaman, wich will increase her chances by additional 25%, at the elves village (125,200). However this blessing is not cost free. She need to bring the fox fur with her as a payment for the blessing ritual. The foxes may be found in a forest which is located between (230,40) and (220,80). For the ritual to be most effective she should hold the nightshades in her hands during the ritual. Find the shortest path for Karen to improve her chances of killing the ogre and survive. Do not explain anything, be laconic, print out the resulting route only. Karen's route: (33,33) -> (77,77) -> (230,60) -> (125,200) -> (12,24).
This additional explanation "(an ogre - a cannibal giant)" was added actually for LLaMA 2 to, but I keep it in this redaction for all models.