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On Mystic Island math is done via symbols.

Distinct symbols represent distinct digits, varying from 0 to 9.

From the picture below, figure out the corresponding digits. Please provide your reasoning.

enter image description here

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    $\begingroup$ Incidentally, for users attempting to answer this question, $\Delta$ generates $\Delta$, $\cap$ generates $\cap$, $\cup$ generates $\cup$, $\lor$ or $\vee$ generates $\lor$, $\Box$ or $\square$ generates $\Box$, and $\oplus$ generates $\oplus$. For extra, $\div$ generates $\div$. Hope this makes things easier :) $\endgroup$ – Mr Pie Jun 19 at 17:31
  • $\begingroup$ Thx..for the Mathjax tip $\endgroup$ – Uvc Jun 19 at 17:33
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    $\begingroup$ Whoops, you'd want to generate $\otimes$ to make $\otimes$, not $o\plus$. My bad! $\endgroup$ – Mr Pie Jun 19 at 17:39
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It's:

 625 / 25 = 25
   -    -    +
 225 / 15 = 15
   =    =    =
 400 / 10 = 40

because:

$\square$ is either $0,1,5,6$, it can't be $0$ from line 2, and therefore the sum involves either $21,31,15,25,16,26$, and only $21$ and $15$ fit the pattern. However $\square=1$ implies $\otimes=2$, and this is obviously false.

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    $\begingroup$ $\cap$, $\Delta$, and $\square$ are trivial to solve, since there's only one solution to BC*BC=ABC. Then $\cup$ is the only digit to solve in row 2. $\endgroup$ – Somebody Jun 20 at 16:21

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