{"action":"closed","issue":{"url":"https://api.github.com/repos/Khan/khan-exercises/issues/109557","labels_url":"https://api.github.com/repos/Khan/khan-exercises/issues/109557/labels{/name}","comments_url":"https://api.github.com/repos/Khan/khan-exercises/issues/109557/comments","events_url":"https://api.github.com/repos/Khan/khan-exercises/issues/109557/events","html_url":"https://github.com/Khan/khan-exercises/issues/109557","id":22302523,"number":109557,"title":"Math patterns / x08fe724c - Math Patterns","user":{"login":"KhanBugz","id":924247,"avatar_url":"https://avatars.githubusercontent.com/u/924247?v=3","gravatar_id":"","url":"https://api.github.com/users/KhanBugz","html_url":"https://github.com/KhanBugz","followers_url":"https://api.github.com/users/KhanBugz/followers","following_url":"https://api.github.com/users/KhanBugz/following{/other_user}","gists_url":"https://api.github.com/users/KhanBugz/gists{/gist_id}","starred_url":"https://api.github.com/users/KhanBugz/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/KhanBugz/subscriptions","organizations_url":"https://api.github.com/users/KhanBugz/orgs","repos_url":"https://api.github.com/users/KhanBugz/repos","events_url":"https://api.github.com/users/KhanBugz/events{/privacy}","received_events_url":"https://api.github.com/users/KhanBugz/received_events","type":"User","site_admin":false},"labels":[{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/chrome","name":"chrome","color":"e102d8"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/lion","name":"lion","color":"ededed"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/scratchpad","name":"scratchpad","color":"DDDDDD"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/wrong-or-unclear","name":"wrong-or-unclear","color":"FFA500"}],"state":"closed","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2013-11-07T22:48:48Z","updated_at":"2015-11-21T00:32:46Z","closed_at":"2015-11-21T00:32:46Z","body":"Christa may have borrowed a dollar and never given it back. Nothing in the question indicates that she eventually \"paid\" for the dollar.\n\nhttps://www.khanacademy.org/preview/content/items/x08fe724c\n\n    [[[{\"value\":\"2\"},{\"value\":\"4\"},{\"value\":\"6\"},{\"value\":\"8\"},{\"value\":\"10\"}],[]]]\n\nUser hash: 462818714\n\nMozilla/5.0 (Macintosh; Intel Mac OS X 10_7_5) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/30.0.1599.101 Safari/537.36\n\nMathJax is loaded, ready, queue length: 0\n\n\n\nstart of log\nloadModule mod /khan-exercises/utils/answer-types.js\nloadModule mod /khan-exercises/utils/tmpl.js\nloadModule mod /khan-exercises/utils/tex.js\nloadModule mod /khan-exercises/utils/jquery.adhesion.js\nloadModule mod /khan-exercises/utils/calculator.js\nloadModule mod /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-4056d436a301219a92f25f32d695a90e\nloadScript loading /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-4056d436a301219a92f25f32d695a90e\nloadScript loaded /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-4056d436a301219a92f25f32d695a90e\nstartTask...\nstartTask got task inverse_trig_functions\nrenderExerciseTask inverse_trig_functions\nloading and rendering inverse_trig_functions\nloadExercise start inverse_trig_functions.html\nloadExercise got inverse_trig_functions.html\nloadExercise submod math\nloadModule mod /khan-exercises/utils/math.js\nloadModule mod /khan-exercises/utils/../third_party/raphael.js\nloadExercise submod math-format\nloadModule mod /khan-exercises/utils/math-format.js\nloadModule mod /khan-exercises/utils/expressions.js\nloadExercise submod graphie\nloadModule mod /khan-exercises/utils/graphie.js\nloadModule mod /khan-exercises/utils/kvector.js\nloadExercise submod expressions\nloadExercise submod answer-types\nloadExercise submod tmpl\nloadExercise submod tex\nloadExercise submod jquery.adhesion\nloadExercise submod calculator\nloadExercise submod /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-4056d436a301219a92f25f32d695a90e\nloadExercise finish inverse_trig_functions.html\nloaded inverse_trig_functions, now rendering\nloadModule mod /khan-exercises/utils/scratchpad.js\nstart of makeProblem\nchose problem type and seed for inverse_trig_functions\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\n(graphieLoad not a fn; src undefined)\n(kvectorLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\ndone with runModules\ndecided on answer type multiple\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\nvalidator created\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\nMathJax done typesetting (\\arccos\\left(-\\frac{\\sqrt{2}}{2}\\right))\nMathJax done typesetting (\\Large{{}^\\circ})\nMathJax done typesetting (\\Large{{}^\\circ})\nMathJax done typesetting (\\Large{{}^\\circ})\nMathJax done typesetting (\\arccos\\left(-\\frac{\\sqrt{2}}{2}\\right) = \\cos^{-1}\\left(-\\frac{\\sqrt{2}}{2}\\right))\nMathJax done typesetting (\\cos^{-1}\\left(-\\frac{\\sqrt{2}}{2}\\right) = \\theta)\nMathJax done typesetting (\\cos\\left( \\theta \\right) = -\\frac{\\sqrt{2}}{2})\nMathJax done typesetting (\\arccos\\left(x\\right))\nMathJax done typesetting ([ 0, 180° ])\nMathJax done typesetting (0 \\leq \\theta \\leq 180°)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\cos \\left( 135° \\right) = -\\frac{\\sqrt{2}}{2})\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\arccos\\left(-\\frac{\\sqrt{2}}{2}\\right) = 135°)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\nstartTask...\nstartTask got task standard_deviation\nrenderExerciseTask standard_deviation\nloading and rendering standard_deviation\nloadExercise start standard_deviation.html\nloadExercise got standard_deviation.html\nloadExercise submod math\nloadExercise submod math-format\nloadExercise submod word-problems\nloadModule mod /khan-exercises/utils/word-problems.js\nloadExercise submod stat\nloadModule mod /khan-exercises/utils/stat.js\nloadExercise submod answer-types\nloadExercise submod tmpl\nloadExercise submod tex\nloadExercise submod jquery.adhesion\nloadExercise submod calculator\nloadExercise submod /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-4056d436a301219a92f25f32d695a90e\nloadExercise finish standard_deviation.html\nloaded standard_deviation, now rendering\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for standard_deviation\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(statLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\qquad22,\\enspace 111,\\enspace 26,\\enspace 10)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\ndone with runModules\ndecided on answer type multiple\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\nvalidator created\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((\\color{#6495ED}{\\overline{x}}))\nMathJax done typesetting ((\\color{#FF00AF}{s}))\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\n                                \\color{#6495ED}{\\overline{x}} \\quad = \\quad\n                                \\dfrac{\\sum\\limits_{i=1}^{\\color{#28AE7B}{n}} x_i}{\\color{#28AE7B}{n}} \\quad = \\quad\n                                \\dfrac{\\sum\\limits_{i=1}^{\\color{#28AE7B}{4}} x_i}{\\color{#28AE7B}{4}}\n                            )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\n                                \\color{#6495ED}{\\overline{x}} \\quad = \\quad\n                                \\dfrac{22 + 111 + 26 + 10}{\\color{#28AE7B}{4}} \\quad = \\quad\n                                \\color{#6495ED}{42.3\\text{ years old}}\n                        )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((\\color{#6495ED}{\\overline{x}} = \\color{#6495ED}{42.3\\text{ years}}))\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((x_i - \\color{#6495ED}{\\overline{x}}))\nMathJax done typesetting ((x_i - \\color{#6495ED}{\\overline{x}})^2)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((\\color{red}{s^2}))\nMathJax done typesetting (\n                                \\color{red}{s^2} \\quad = \\quad\n                                \\dfrac{\\sum\\limits_{i=1}^{\\color{#28AE7B}{n}} (x_i - \\color{#6495ED}{\\overline{x}})^2}{\\color{#28AE7B}{n - 1}}\n                            )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\n                            \\color{red}{s^2} \\quad = \\quad\n                            \\dfrac{\\color{purple}{412.09} + \\color{purple}{4719.69} + \\color{purple}{265.69} + \\color{purple}{1043.29}}\n                            {\\color{#28AE7B}{4 - 1}}\n                        )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\n                            \\color{red}{s^2} \\quad = \\quad\n                            \\dfrac{\\color{purple}{6440.76}}{\\color{#28AE7B}{3}} \\quad = \\quad\n                            \\color{red}{2146.92\\text{ years}^2}\n                        )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((\\color{#FF00AF}{s}))\nMathJax done typesetting ((\\color{red}{s^2}))\nMathJax done typesetting (\\color{#FF00AF}{s} = \\sqrt{\\color{red}{s^2}})\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\n                            \\color{#FF00AF}{s} = \\sqrt{\\color{red}{2146.92\\text{ years}^2}} =\n                            \\color{#FF00AF}{46.3\\text{ years}}\n                        )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(stat not a fn; src undefined)\nstartTask...\nstartTask got task benchmark-angles\nrenderExerciseTask benchmark-angles\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(statCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(statCleanup not a fn; src undefined)\nstartTask...\nstartTask got task drawing-angles\nrenderExerciseTask drawing-angles\nstartTask...\nstartTask got task understanding-place-value-1\nrenderExerciseTask understanding-place-value-1\nstartTask...\nstartTask got task area-and-perimeter-of-rectangles-word-problems\nrenderExerciseTask area-and-perimeter-of-rectangles-word-problems\nstartTask...\nstartTask got task math-patterns\nrenderExerciseTask math-patterns"}}