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README.md
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@@ -47,11 +47,98 @@ The model can solve any equation of the form ```Ay + ay + b + B = Dy + dy + c +
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## Training and evaluation data
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I will complete the evaluation data later, but for now,
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let’s show an example of a linear equation where this model finds the correct solution, unlike other models such as ChatGPT3.5, Bard, Llama 70B, and Mixtral
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## Training procedure
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## Training and evaluation data
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I will complete the evaluation data later, but for now,
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let’s show an example of a linear equation where this model finds the correct solution, unlike other models such as ChatGPT3.5, Bard, Llama 70B, and Mixtral.
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```
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Solve for y: 10 + 4y -9y +5 = 4 +8y - 2y + 8 .
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```
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<strong>Mixtral 8x7b</strong><br>
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Let's first simplify the equation by combining like terms:<br>
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10 - 5y + 5 = 4 + 6y<br>
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Now, let's get all the y terms on one side and constants on the other side. Subtract 6y from both sides:<br>
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10 - 5y - 6y + 5 = 4 + 6y - 6y<br>
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This simplifies to:<br>
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15 - 11y = 4<br>
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Next, subtract 15 from both sides to isolate the y term:<br>
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15 - 15 - 11y = 4 - 15<br>
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This simplifies to:<br>
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-11y = -11<br>
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Finally, divide both sides by -11 to solve for y:<br>
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y = -11 / -11<br>
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So,<br>
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<strong><span style="color:red">
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y = 1
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</span></strong>.
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<strong>Llma 70b</strong><br>
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To solve for y, we need to isolate the y term on one side of the equation.<br>
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First, we can combine the like terms:<br>
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10 + 4y - 9y + 5 = 4 + 8y - 2y + 8<br>
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This simplifies to:<br>
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10 - 5y + 5 = 4 + 6y<br>
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Next, we can subtract 4 from both sides:<br>
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6 - 5y + 5 = 6y<br>
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Now, we can isolate the y term by subtracting 5 from both sides:<br>
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-5y + 5 = 6y - 5<br>
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This simplifies to:<br>
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-5y = 11<br>
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Finally, we can divide both sides by -5 to solve for y:<br>
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y = -11/5<br>
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Therefore, the value of y is <strong><span style="color:red">
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-11/5
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</span></strong>.
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<strong>ChatGPT3.5</strong><br>
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To solve for y in the given equation 10 + 4y - 9y + 5 = 4 + 8y - 2y + 8, follow these steps:<br>
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Combine like terms on each side: (4y - 9y + 5) + 10 = (6y + 12 + 8y - 2y)<br>
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Combine the y terms and constants separately: -5y + 15 = 12y + 12<br>
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Move all terms involving y to one side and the constants to the other side: -5y - 12y = 12 - 15<br>
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Combine like terms: -17y = -3<br>
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Divide by -17: y = 3/17<br>
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Therefore, the solution to the equation 10 + 4y - 9y + 5 = 4 + 8y - 2y + 8 is <strong><span style="color:red">
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y = 3/17
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</span></strong>.
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<strong>Bard</strong><br>
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Sure, I'd be happy to help you solve for y. Here is the solution:<br>
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10 + 4y - 9y +5 = 4 +8y - 2y + 8<br>
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First, combine like terms on each side of the equation.<br>
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-5y + 15 = 12 + 6y<br>
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Next, subtract 6y from both sides of the equation.<br>
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-11y + 15 = 12<br>
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Finally, subtract 15 from both sides of the equation to isolate y.<br>
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-11y = -3<br>
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Divide both sides of the equation by -11 to find y.<br>
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<strong><span style="color:green">
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y = 0.2727
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</span></strong>.
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<strong>BingChat</strong><br>
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Combine like terms on both sides:<br>
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10 + 4y - 9y + 5 = 15 - 5y<br>
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4 + 8y - 2y + 8 = 12 + 6y<br>
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This gives us:<br>
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15 - 5y = 12 + 6y<br>
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Solving for y in one step:<br>
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<strong><span style="color:green">
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y = 3 / 11
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</span></strong>.
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<strong>Falcon7B-linear-equation</strong><br>
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The equation is in the form of ay + b = dy + c where:<br>
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a = 4 - 9 = -5<br>
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b = 10 + 5 = 15<br>
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d = 8 - 2 = 6<br>
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c = 4 + 8 = 12<br>
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The solution is y = (c - b)/(a - d) if a ≠ d <br>
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12 - 15 = -3<br>
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-5 - 6 = -11<br>
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y = -3 / -11<br>
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The fraction -3 / -11 = 3 / 11.<br>
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The solution is <strong><span style="color:green">
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y = 3 / 11
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</span></strong>.
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## Training procedure
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