# Need To Solve A Math Problem

Now, if it also knows that there is a similar relationship between trees in a park, and steps in a solution, then when I ask it to count steps in a solution, for the first time ever, it will know to apply the same logic it already knows for counting trees.So now, actually, we kinda taught our machine to read.In a Pythagorean triangle, and all three sides are whole numbers. But there are also three more diagonals on the three surfaces (D, E, and F) and that raises an interesting question: can there be a box where all seven of these lengths are integers?

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If it's a small sofa, that might not be a problem, but a really big sofa is sure to get stuck.

If you're a mathematician, you ask yourself: What's the largest sofa you could possibly fit around the corner?

Step (1) - when facing a textual math problem, make sure the problem is written in a language that we can read.

I mean, if the question is in Basque and I don’t speak Basque, I would have to translate the question to a language I understand before I can even try to tackle the mathematical task.

Mike Breen, the Public Awareness Officer for the American Mathematical Society, told Popular Mechanics: “The way it’s written, it’s ambiguous. Mathematicians try to make rules as precise as possible.”Depending on where in the world you learned math, as Mashable reported, determines how you can solve the problem.

Imagine a website that is like a private math tutor. The thing is, they've never been able to that there isn't a special number out there that never leads to 1. Mathematicians have tried millions of numbers and they've never found a single one that didn't end up at 1 eventually. But no one has ever been able to prove that for certain. It's possible that there's some really big number that goes to infinity instead, or maybe a number that gets stuck in a loop and never reaches 1.We also have some sofas that don't work, so it has to be smaller than those. The first three are the dimensions of a box, and G is the diagonal running from one of the top corners to the opposite bottom corner.All together, we know the sofa constant has to be between 2.2195 and 2.8284. The three letters correspond to the three sides of a right triangle. Just as there are some triangles where all three sides are whole numbers, there are also some boxes where the three sides and the spatial diagonal (A, B, C, and G) are whole numbers.The largest area that can fit around a corner is called—I kid you not—the sofa constant.Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them.Then, one way to solve the mathematical task itself, is: (2) “hide” the numbers in the question with parameters, (3) understand the structure of the equation, (4) insert the numbers in the correct places.In the next sections, we will see how we perform steps (1)-(2) using existing tools, and how we build a neural network that achieves steps (3)-(4).

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