# Large system of equations using wolfram alpha.

I'm trying to use Wolfram Alpha to solve a very large system of equations- Variables A through P with a Z. It has 40 equations, so it won't let me use the regular type in the first bar. I tried using the data input method, but then I got confused. Anyhow- here is what i have so far:

$a + n + k + h = z$, $d + e + j + o = z$, $m + b + g + l = z$

$p + i + f + c = z$, $b + c + i + l = z$, $f + g + m + p = z$

$h + l + b + n = z$, $g + k + a + m = z$, $n + o + e + h = z$

$j + k + a + d = z$, $e + i + c + o = z$, $f + j + d + p = z$

$j + k + n + o = z$, $k + l + o + p = z$, $a + m + d + p = z$

$a + b + m + n = z$, $b + c + n + o = z$, $c + d + o + p = z$

$a + e + d + h = z$, $e + i + h + l = z$, $i + m + l + p = z$

$b + e + l + o = z$, $c + h + i + n = z$, $a + b + c + d = z$

$e + f + g + h = z$, $i + j + k + l = z$, $m + n + o + p = z$

$a + e + i + m = z$, $b + f + j + n = z$, $c + g + k + o = z$

$d + h + l + p = z$, $a + f + k + p = z$, $m + j + g + d = z$

$a + b + e + f = z$, $b + c + f + g = z$, $c + d + g + h = z$

$e + f + i + j = z$, $f + g + j + k = z$, $g + h + k + l = z$

$i + j + m + n = z$

But then it turns the data into columns? I don't know where to go from here. (link to screenshot: https://i.sstatic.net/9MnMz.png)

Help?

• @vadim123: Indeed, and on Wolfram Alpha, no less - they purposefully limit its abilities, otherwise why would anyone pay for Mathematica? Commented Jul 1, 2013 at 18:55
• I actually don't know the easiest way to put this into Wolfram Alpha, but I guess it would be easier for you to put this problem into matrix form. Have you had basic linear algebra? Commented Jul 1, 2013 at 18:56
• Is there another place you'd recommend me to go to solve this many at once? Commented Jul 1, 2013 at 18:57
• Is this a system of equations for a $4\times 4$ magic square? Commented Jul 1, 2013 at 18:59
• I would go with an open source Computer Algebra System (CAS) such as Maxima or Sage. It'll be much easier to save your results and explore more problems. Commented Jul 1, 2013 at 19:04

In Maple, I get the following solutions: $$\left\{ a=-k+1/2\,z,b=-l+1/2\,z,c=j+k-1/2\,z+l,d=1/2\,z-j,e=1/2\,z-o, f=k-1/2\,z+o+l,g=-j-2\,k+3/2\,z-o-l,h=j+k-1/2\,z+o,i=-j-l-k+z,j=j,k=k, l=l,m=j+l+2\,k-z+o,n=-j-k+z-o,o=o,p=-l-k+z-o,z=z \right\}$$