Can you solve the below algebraic mathematical equation?

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

John is found dead in a bare field. Nobody killed John,
John did not commit suicide.

Inspector Jacob found a bag just a few meters away from John which could save his life. What was in the bag?

I’m tall when I’m young, and I’m short when I’m old. What am I?

When it is alive we sing, when it is dead we clap our hands. What is it?

O_er_t_o_

Complete the missing letters of the given word.

John is a strange liar.

He lies on six days of the week, but on the seventh day, he always tells the truth.

He made the following statements on three successive days:

Day 1: "I lie on Monday and Tuesday."
Day 2: "Today, it"s Thursday, Saturday, or Sunday."
Day 3: "I lie on Wednesday and Friday."

On which day does John tell the truth?

The person who makes it has no need for it. He who purchases it does not use it. The person who does use it does not know they are. What is it?

Pronounced as 1 letter, And written with 3, 2 letters there are, and 2 only in me. I’m double, I’m single, I’m black blue and grey, I’m read from both ends, and the same either way. What am I?

A cricket has 6 legs, a squirrel has 4 legs and a spider has 8 legs.

In a local zoo, it was found that the total number of legs is 612. Also, there are equal number of each of the above animals/insects.

Can you find out how many animals are there in the zoo?

Lifeless eyes on my smiling face and watch your child's sleeping place. In their dreams they hold me tight. What am I?