       "makeCircLineInter"
       "C34"
       "Find all the points where the line \\(4x-y+3=0\\) and the circle \\( x^2+(y+5)^2=36\\) intersect."
-      "The line and the circle intersect in two points, specifically $$\\left(\\frac{-4+\\sqrt{548}}{2.125},\\frac{-77+32\\sqrt{548}}{17}\\right)\\qquad\\text{and}\\qquad \\left(\\frac{-4-\\sqrt{548}}{2.125},\\frac{-77-32\\sqrt{548}}{17}\\right)$$"
+      "The line and the circle intersect in two points, specifically $$\\left(\\frac{-16+\\sqrt{137}}{8.5},\\frac{-77+8\\sqrt{137}}{17}\\right)\\qquad\\text{and}\\qquad \\left(\\frac{-16-\\sqrt{137}}{8.5},\\frac{-77-8\\sqrt{137}}{17}\\right)$$"
     ]
     [
       "makeCArithmetic"
       "F1"
-      "Given \\(z=-\\frac{1}{2} + \\frac{\\sqrt{3}}{2}i\\) and \\(w=\\frac{3}{2} -\\frac{9\\sqrt{3}}{2}i\\), compute:<ul class=\"exercise\"><li>\\(z+w\\)</li><li>\\(z\\times w\\)</li><li>\\(\\frac{z}{w}\\)</li><li>\\(\\frac{w}{z}\\)</li></ul>"
-      "<ul class=\"exercise\"><li>\\(1 -\\sqrt{3}i\\)</li><li>\\(\\frac{3}{2} + \\frac{9\\sqrt{3}}{2}i\\)</li><li>\\(-\\frac{1}{3}\\)</li><li>\\(-3\\)</li></ul>"
+      "Given \\(z=-\\frac{1}{2} + \\frac{\\sqrt{3}}{2}i\\) and \\(w=\\frac{3}{2} -\\frac{3\\sqrt{3}}{2}i\\), compute:<ul class=\"exercise\"><li>\\(z+w\\)</li><li>\\(z\\times w\\)</li><li>\\(\\frac{z}{w}\\)</li><li>\\(\\frac{w}{z}\\)</li></ul>"
+      "<ul class=\"exercise\"><li>\\(1 -\\sqrt{3}i\\)</li><li>\\(\\frac{3}{2} + \\frac{3\\sqrt{3}}{2}i\\)</li><li>\\(-\\frac{1}{3}\\)</li><li>\\(-3\\)</li></ul>"
     ]
     [
       "makeCPolar"
       "F2"
-      "Convert \\(\\frac{3}{2} + \\frac{9\\sqrt{3}}{2}i\\) to modulus-argument form."
+      "Convert \\(\\frac{3}{2} + \\frac{3\\sqrt{3}}{2}i\\) to modulus-argument form."
       "$$3e^{\\frac{1}{3}\\pi i}$$"
     ]
     [

      "makeMatrix3"
      "F7"
      "Let $$A=\\begin{pmatrix}2&3&-2\\\\-1&-1&2\\\\1&0&2\\end{pmatrix} \\qquad \\text{and} \\qquad B=\\begin{pmatrix}1&4&-1\\\\1&-2&1\\\\0&-4&0\\end{pmatrix}$$.Compute: <ul class=\"exercise\"><li>\\(A+B\\)</li><li>\\(A \\times B\\)</li><li>\\(B^{-1}\\)</li></ul>"
      "<ul class=\"exercise\"><li>\\(\\begin{pmatrix}3&7&-3\\\\0&-3&3\\\\1&-4&2\\end{pmatrix}\\)</li><li>\\(\\begin{pmatrix}5&10&1\\\\-2&-10&0\\\\1&-4&-1\\end{pmatrix}\\)</li><li>\\(\\displaystyle \\frac{1}{8}\\textstyle \\begin{pmatrix}4&4&2\\\\0&0&-2\\\\-4&4&-6\\end{pmatrix}\\)</li></ul>"
    ]
    [
      "makeFurtherVector"
      "F8"
      "Let \\(\\mathbf{a}=\\begin{pmatrix}\\\\-2\\\\0\\\\3\\end{pmatrix}\\,\\), \\(\\;\\mathbf{b}=\\begin{pmatrix}\\\\-4\\\\3\\\\0\\end{pmatrix}\\,\\) and \\(\\mathbf{c}=\\begin{pmatrix}\\\\-3\\\\4\\\\5\\end{pmatrix}\\). Calculate: <ul class=\"exercise\"><li>the vector product, \\(\\mathbf{a}\\wedge \\mathbf{b}\\),</li><li>the scalar triple product, \\([\\mathbf{a}, \\mathbf{b}, \\mathbf{c}]\\).</li></ul>"
      "<ul class=\"exercise\"><li>\\(\\begin{pmatrix}\\\\-9\\\\-12\\\\-6\\end{pmatrix}\\)</li><li>\\(-51\\)</li></ul>"
    ]
    [
      "makeNewtonRaphson"

      "makeQuadratic"
      "C10"
      "Find the real roots, if any, of$$x^2 - 4x - 1=0$$"
      "$$x=2\\pm\\sqrt{5}$$"
    ]
    [
      "makeComplete"
