diff --git a/math-replay/algebra/new-definitions-1.haml b/math-replay/algebra/new-definitions-1.haml
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+%html
+  %head
+    %title New Definitions 1
+    %script{:type => "text/x-mathjax-config"}
+      MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
+    %script{:type => "text/javascript", :src => "http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"}
+    %link{:rel => 'stylesheet', :type => 'text/css', :href => './style.css'}
+  %body
+    %h2 $x `not` $y = 8x - 3y$:
+    .solution
+      :escaped
+        $$
+        \begin{eqnarray}
+        x `not` y & = & 8x - 3y \\
+        6 `not` -2 & = & 8(6) - 3(-2) \\
+        6 `not` -2 & = & 48 + 6 \\
+        6 `not` -2 & = & 54 \\
+        \end{eqnarray}
+        $$
+
+    %h2 $x `star` y = 8y + 2$:
+    .solution
+      :escaped
+        $$
+        \begin{eqnarray}
+        x `star` y = 8y + 2 \\
+        -2 `star` 5 = 8(5) + 2 \\
+        -2 `star` 5 = 40 + 2 \\
+        -2 `star` 5 = 42 \\
+        \end{eqnarray}
+        $$
+
+    %h2 $x `diamond` y = xy + 3x - y$:
+    .solution
+      :escaped
+        $$
+        \begin{eqnarray}
+        x `diamond` y = xy + 3x - y \\
+        3 `diamond` -2 = (3)(-2) + 3(3) - (-2) \\
+        3 `diamond` -2 = -6 + 9 + 2 \\
+        3 `diamond` -2 = -6 + 11 \\
+        3 `diamond` -2 = 5 \\
+        \end{eqnarray}
+        $$
+
+    %h2 $x `not` y = x + 3y$:
+    .solution
+      :escaped
+        $$
+        \begin{eqnarray}
+        x `not` y = x + 3y \\
+        -4 `not` 6 = -4 + 3(6) \\
+        -4 `not` 6 = -4 + 18 \\
+        -4 `not` 6 = 14 \\
+        \end{eqnarray}
+        $$
+
+    %h2 $x `donut` y = 3x - 3y$:
+    .solution
+      :escaped
+        $$
+        \begin{eqnarray}
+        x `donut` y = 3x - 3y \\
+        0 `donut` 0 = 3(0) - 3(0) \\
+        0 `donut` 0 = 0 - 0 \\
+        0 `donut` 0 = 0 \\
+        \end{eqnarray}
+        $$