query: Solve $~ x! + y! + z!= x!y! ~$ for integer set
positive_passages.docid: 142900
positive_passages.text: Find all positive integers a,b,c to the equation a!b!= a!+b!+c!
negative_passages.docid: 30136
negative_passages.text: Proof that a Combination is an integer
negative_passages.docid: 49209
negative_passages.text: Prove $(x+y)(y+z)(x+z)≤\frac8{27}(x+y+z)^3$
negative_passages.docid: 8504
negative_passages.text: Factoring $x^n + y^n$ over the integers
negative_passages.docid: 31295
negative_passages.text: $x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
negative_passages.docid: 35066
negative_passages.text: Nature and number of solutions to $xy=x+y$
negative_passages.docid: 156266
negative_passages.text: Solving $|x-2| + |x-5|=3$
negative_passages.docid: 13120
negative_passages.text: Find all integer solutions to $x^2+y^2+z^2=2xyz$
negative_passages.docid: 45616
negative_passages.text: Find all solutions of ${\frac {1} {x} } + {\frac {1} {y} } +{\frac {1} {z}}=1$, where $x$, $y$ and $z$ are positive integers
negative_passages.docid: 123159
negative_passages.text: Solutions of the diophantine equation $x+y+z=xyz$?
negative_passages.docid: 73160
negative_passages.text: Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
negative_passages.docid: 5595
negative_passages.text: $x^y = y^x$ for integers $x$ and $y$
negative_passages.docid: 88189
negative_passages.text: Finding all integer solutions of $5^x+7^y=2^z$
negative_passages.docid: 144836
negative_passages.text: How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer?
negative_passages.docid: 83496
negative_passages.text: Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$
negative_passages.docid: 145287
negative_passages.text: Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
negative_passages.docid: 120736
negative_passages.text: If xy + yz + zx = 1, ...........