# Expression 4451

Find the largest natural number d that has that property for any natural number

the number n is the value of the expression

V (n) = n ^ 4 + 11n

is divisible by d.

the number n is the value of the expression

V (n) = n ^ 4 + 11n

^{2}−12is divisible by d.

### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- quadratic equation
- equation
- prime numbers
- divisibility
- expression of a variable from the formula
**arithmetic**- square (second power, quadratic)

#### Units of physical quantities:

#### Themes, topics:

#### Grade of the word problem:

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