Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

How can you leave a room with two legs and return with six legs?

If six children and two dogs were under an umbrella, how come none of them got wet?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?

What does man love more than life, and hate more than death or mortal strife; that which satisfied men want; the poor have, and the rich require; the miser spends, the spendthrift saves, and all men carry to their graves?

Jenifer and Jesica are having a conversation.

Jenifer: I am definitely not over 30.
Jesica: I am 28 and you are surely 5 years older to me at least.
Jenifer: No, you are at least 29.

You are told that both of them are lying throughout in the conversation. Can you find their respective ages?

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How many chocolates should he buy from each shop?

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What is the word or phrase?

I look at you, you look at me I raise my right, you raise your left. What am I?