From the algebraic expressions using variables,constants, and arithmetic operations:
i) 6 more than thrice a number x.
ii) 5 times x is subtracted from 13.
iii) The numbers x and u both squared and added.
iv) Number 7 is added to 3 times the product of p and q.
v) Three times of x is subtracted from the product of x with itself.
vi) Sum of the numbers m and n is subtracted from their product.

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Solution

i) 6 more than thrice a number $x . = 3 x + 6$
ii) 5 times x is subtracted from $13. = 13 - 5 x$
iii) The numbers x and y both squared and added. = $x^{2} + y^{2}$
iv) Number 7 is added to 3 times the product of $p$ and $q . = 3 p q + 1$
v) Three times of $x$ is subtracted from the product of $x$ with itself. = $x^{2} - 3 x$
vi) Sum of the numbers m and n is subtracted from their product. $= m n - (m + n)$

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