     [
       "makeIneq3"
       "C7"
-      "By factorizing a suitable polynomial, or otherwise, find the values of \\(x\\) which satisfy$$x^2 - 4x < 0$$"
-      "$$0 < x < 4$$"
+      "By factorizing a suitable polynomial, or otherwise, find the values of \\(x\\) which satisfy$$x^2 - 6x < -5$$"
+      "$$1 < x < 5$$"
       2
     ]
     [

    [
      "makeFurtherIneq"
      "F10"
      "Find the range of values of \\(x\\) for which$$\\frac{-4}{3x + 5} < \\frac{-2}{- 4x + 3}$$"
      "$$-\\frac{5}{3} < x < \\frac{1}{11}\\mbox{ or }\\frac{3}{4} < x$$"
    ]
    [
      "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 $$\\left(\\frac{-16+\\sqrt{137}}{8.5},\\frac{-77+8\\sqrt{137}}{17}\\right)\\qquad\\text{and}\\qquad \\left(\\frac{-16-\\sqrt{137}}{8.5},\\frac{-77-8\\sqrt{137}}{17}\\right)$$"
    ]
    [
      "makeCArithmetic"
      "F1"
      "Given \\(z=-\\frac{1}{2} + \\frac{\\sqrt{3}}{2}i\\) and \\(w=\\frac{3}{2} -\\frac{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{3\\sqrt{3}}{2}i\\) to modulus-argument form."
      "$$3e^{\\frac{1}{3}\\pi i}$$"
    ]
    [
