Find a solution to the following system of simultaneous equations. All letters stand for integers (positive, zero, or negative), and different letters are different integers. The preferred solution will be the one in which the difference between the largest and smallest of the values is the lea...

Alice and Bob went walking in the desert. Alice had two gallons of water and Bob had three gallons. They met Charlie who had no water at all and they all (Alice, Bob, and Charlie) shared the five gallons of water evenly. As a token of his gratitude, Charlie gave them five gold coins. W...

We're bored ... Mo: How's about a film? Something outside please. Mo: Play piggy in the middle? We don't know it! Mo: Who's up for a demo? What word is clued above?

You can show me, or you can give me away, but you never can touch me. You can find me between the family, or between strangers when they first met. I can save lives, or destroy them. Even a city and a day were named after me. What am I? Please explain each line With this hint it should be eas...

Grandpa was in his crazy math mood again. "using rot13 and your math knowledge prove to me that 505 = 1" He said. Really? Can you?

Eight sisters don't guard the essential hoof This is from the game CreasureQuest, so I suspect the solution in context with the historical background (the lost treasure of the Flor de la Mar, Afonso de Albuquerque, etc). I'm stuck here. If eight sisters don't, maybe one sister does? But wh...

Macadamia nuts! Use the above clue to find my identity. You must explain the relevance of the clue and the hint. Hint: I publicise Apple products.

How to solve this puzzling? I can't see any links between them.

Please see: Make the largest box from a cardboard sheet Thanks to his older brother's friends: @Oray, @Weather Vane and @mlk, the boy managed to make as large cardboard box as possible. Unfortunately, it was not enough to store all his toys responsible for causing mess in his room. To do someth...

After spring, I’m a hiker’s delight. In the summer, I help children play. Before fall, I will tumble with might. And come winter, I’ll sleep in all day. What am I?

Your programmer friend, Daniel, went on a two week long vacation, and asked you to look after his adorable dog. He loves dogs, and he certainly doesn’t want a stranger to do this job, so you agree. Your task is simple: you have to go over to his house every day for two weeks, give food and water...

I hired a contractor to build one simple thing! How hard could it be?! He claimed to have completed the job 3 times, but all I heard was this lame excuse: I went out west to take a test But he called me dumb as rust So, I called a ride to take me But the fishing was a bust ...

I can spread like a disease, Only I can't kill, Unless it's in a phrase. I can never displease, Unless you've got skill. But, I can still infect for many days What am I? Hint 1: Might give it all away: Hint 2: In case you need another: