Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

Below toothpicks/matchsticks indicate the group of fishes moving from west to east direction. Can you make them move from east to west by just moving three toothpicks/matchsticks?

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

Suppose you are sitting in an interview and the interviewee asks you an aptitude question.

You have three buckets with a capacity of 4 litres, 8 litres and 10 litres and you have a large tank of water. Now you have to measure 3 litres of water precisely using those buckets. How will you do it?

Can it be possible to build a house that has all its four walls facing towards the South?

I live in a bowl. I can swim. I have a tail. I also have fins and big eyes. What am I?

Can you decipher the below rebus?

PBLUESAISNUERSES

The more you take me, the more you leave me behind.
Who Am I?