     [
       "makeFurtherIneq"
       "F10"
-      "Find the range of values of \\(x\\) for which$$\\frac{-4}{3x + 5} < \\frac{-2}{- 4x + 3}$$"
-      "$$-\\frac{5}{3} < x < \\frac{1}{11}\\mbox{ or }\\frac{3}{4} < x$$"
+      "Find the range of values of \\(x\\) for which$$\\frac{-4}{4x + 5} < \\frac{-2}{- 4x + 3}$$"
+      "$$-\\frac{5}{4} < x < \\frac{1}{12}\\mbox{ or }\\frac{3}{4} < x$$"
     ]
     [
       "makeSubstInt"

      "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 $$\\left(\\frac{-4+\\sqrt{548}}{2.125},\\frac{-77+32\\sqrt{548}}{17}\\right)\\qquad\\text{and}\\qquad \\left(\\frac{-4-\\sqrt{548}}{2.125},\\frac{-77-32\\sqrt{548}}{17}\\right)$$"
    ]
    [
      "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>"
    ]
    [
      "makeCPolar"
      "F2"
      "Convert \\(\\frac{3}{2} + \\frac{9\\sqrt{3}}{2}i\\) to modulus-argument form."
      "$$3e^{\\frac{1}{3}\\pi i}$$"
    ]
    [

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