Mister Exam

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Least common denominator:
x^4/4+x+2+x^4/4+x+2
((x^-6-64)/(4+2*x^-1+x^-2))*(x^2/(4-4/x+1/x^2))-(4*x^2*(2*x+1))/(1-2*x)
sqrt(a)/(4-a)/a^(1/4)/(2-a^(1/2))
factorial(s)/factorial(7)/factorial(s-7)/factorial(factorial(2*s))
Factor polynomial:
x^5+x^7
x1*x2+x1^2*x3^2+x2*x3
2*c^4-4*c^3+2*c
x^2-y^2+x-y
Factor squared:
x^2-x*a+4*a^2
3*x^2+5*x-3
-y^4-y^2+8
-y^2-4*y-3
How do you in partial fractions?:
(a^-2-a/a^-1-1)/(a^2+1)
(1/(s+1))*(1/(s-1))
((p+3)/(p^2-2p))*((4p-8)/(p+3))
(3a^2-12)/(9a^3-72)
Identical expressions
factorial(s)/factorial(seven)/factorial(s- seven)/factorial(factorial(two *s))
factorial(s) divide by factorial(7) divide by factorial(s minus 7) divide by factorial(factorial(2 multiply by s))
factorial(s) divide by factorial(seven) divide by factorial(s minus seven) divide by factorial(factorial(two multiply by s))
factorial(s)/factorial(7)/factorial(s-7)/factorial(factorial(2s))
factorials/factorial7/factorials-7/factorialfactorial2s
factorial(s) divide by factorial(7) divide by factorial(s-7) divide by factorial(factorial(2*s))
Similar expressions
factorial(s)/factorial(7)/factorial(s+7)/factorial(factorial(2*s))

Expression simplification/ Least common denominator/ factorial(s)/factorial(7)/factorial(s-7)/factorial(factorial(2*s))

Least common denominator factorial(s)/factorial(7)/factorial(s-7)/factorial(factorial(2*s))

The solution

You have entered [src]

/  /s!\  \
|  |--|  |
|  \7!/  |
|--------|
\(s - 7)!/
----------
((2*s)!)!

$$\frac{\frac{s!}{7!} \frac{1}{\left(s - 7\right)!}}{\left(\left(2 s\right)!\right)!}$$

((factorial(s)/factorial(7))/factorial(s - 7))/factorial(factorial(2*s))

General simplification [src]

           s!           
------------------------
5040*(-7 + s)!*((2*s)!)!

$$\frac{s!}{5040 \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(5040*factorial(-7 + s)*factorial(factorial(2*s)))

Numerical answer [src]

0.000198412698412698*factorial(s)/(factorial(s - 7)*factorial(factorial(2*s)))

0.000198412698412698*factorial(s)/(factorial(s - 7)*factorial(factorial(2*s)))

Trigonometric part [src]

           s!           
------------------------
5040*(-7 + s)!*((2*s)!)!

$$\frac{s!}{5040 \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(5040*factorial(-7 + s)*factorial(factorial(2*s)))

Combinatorics [src]

s*(-1 + s)*(-6 + s)*(-5 + s)*(-4 + s)*(-3 + s)*(-2 + s)
-------------------------------------------------------
             5040*Gamma(1 + Gamma(1 + 2*s))

$$\frac{s \left(s - 6\right) \left(s - 5\right) \left(s - 4\right) \left(s - 3\right) \left(s - 2\right) \left(s - 1\right)}{5040 \Gamma\left(\Gamma\left(2 s + 1\right) + 1\right)}$$

s*(-1 + s)*(-6 + s)*(-5 + s)*(-4 + s)*(-3 + s)*(-2 + s)/(5040*gamma(1 + gamma(1 + 2*s)))

Rational denominator [src]

           s!           
------------------------
5040*(-7 + s)!*((2*s)!)!

$$\frac{s!}{5040 \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(5040*factorial(-7 + s)*factorial(factorial(2*s)))

Combining rational expressions [src]

           s!           
------------------------
5040*(-7 + s)!*((2*s)!)!

$$\frac{s!}{5040 \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(5040*factorial(-7 + s)*factorial(factorial(2*s)))

Assemble expression [src]

          s!         
---------------------
7!*(s - 7)!*((2*s)!)!

$$\frac{s!}{7! \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(factorial(7)*factorial(s - 7)*factorial(factorial(2*s)))

Common denominator [src]

          s!          
----------------------
7!*(-7 + s)!*((2*s)!)!

$$\frac{s!}{7! \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(factorial(7)*factorial(-7 + s)*factorial(factorial(2*s)))

Powers [src]

           s!           
------------------------
5040*(-7 + s)!*((2*s)!)!

$$\frac{s!}{5040 \left(s - 7\right)! \left(\left(2 s\right)!\right)!}$$

factorial(s)/(5040*factorial(-7 + s)*factorial(factorial(2*s)))

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Identical expressions

Similar expressions

Least common denominator factorial(s)/factorial(7)/factorial(s-7)/factorial(factorial(2*s))

The solution