{"action":"closed","issue":{"url":"https://api.github.com/repos/Khan/khan-exercises/issues/126326","labels_url":"https://api.github.com/repos/Khan/khan-exercises/issues/126326/labels{/name}","comments_url":"https://api.github.com/repos/Khan/khan-exercises/issues/126326/comments","events_url":"https://api.github.com/repos/Khan/khan-exercises/issues/126326/events","html_url":"https://github.com/Khan/khan-exercises/issues/126326","id":23253600,"number":126326,"title":"Simplifying rational expressions 4 - p≠−4?","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/firefox","name":"firefox","color":"e102d8"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/win7","name":"win7","color":"ededed"},{"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":"2013-11-25T16:27:42Z","updated_at":"2015-11-20T10:29:25Z","closed_at":"2015-11-20T10:29:25Z","body":"why p≠−4?\n\np≠9\n\n[simplifying_rational_expressions_4.html?seed=66&problem=0](http://sandcastle.kasandbox.org/media/castles/Khan:master/exercises/simplifying_rational_expressions_4.html?seed=66&problem=0&debug&lang=en)\n\n[Answer timeline](http://sandcastle.kasandbox.org/media/castles/Khan:master/exercises/simplifying_rational_expressions_4.html?seed=66&problem=0&debug&lang=en&activity=%5B%5B%22incorrect-activity%22%2C%22%5B%5B%5C%224p%2B4%5C%22%2C%5C%227p-63%5C%22%2C%5C%229%5C%22%5D%5D%22%2C8230%5D%2C%5B%22hint-activity%22%2C%220%22%2C20%5D%2C%5B%22hint-activity%22%2C%220%22%2C1%5D%2C%5B%22hint-activity%22%2C%220%22%2C6%5D%2C%5B%22hint-activity%22%2C%220%22%2C1%5D%2C%5B%22hint-activity%22%2C%220%22%2C5%5D%2C%5B%22hint-activity%22%2C%220%22%2C5%5D%5D)\n\n    [[[\"4p+4\",\"7p-63\",\"9\"]]]\n\nLocale: en\n\nUser hash: 865053866\n\nMozilla/5.0 (Windows NT 6.1; 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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(graphieLoad not a fn; src undefined)\n(kvectorLoad not a fn; src undefined)\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad 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 (\\overline{AB} = 2\\sqrt{13})\nMathJax done typesetting (\\overline{AC} = {?})\nMathJax done typesetting (\\displaystyle \\sin( \\angle BAC ) = \\frac{2\\sqrt{13} }{13} , \\cos( \\angle BAC ) = \\frac{3\\sqrt{13} }{13} ,  \\tan( \\angle BAC ) = \\dfrac{2}{3})\nMathJax done typesetting (2\\sqrt{13})\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; 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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)\n(graphie-helpersLoad 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)\n(graphie-helpers not a fn; src undefined)\ndone with runModules\ndecided on answer type number\nvalidator created\nloadExercise got fraction_word_problems_1.html\nloadExercise submod math\nloadExercise submod graphie\nloadExercise submod graphie-helpers\nloadExercise submod word-problems\nloadModule mod /khan-exercises/utils/word-problems.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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish fraction_word_problems_1.html\nloadExercise start reading_tables_2.html\nloading and rendering combining_like_terms_1\nloaded combining_like_terms_1, 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(graphie-helpersCleanup 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)\n(graphie-helpersCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for combining_like_terms_1\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)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\large{-7+4x-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)\ndone with runModules\ndecided on answer type set\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)\nvalidator created\nloadExercise got reading_tables_2.html\nloadExercise submod math\nloadExercise submod graphie\nloadExercise submod word-problems\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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish reading_tables_2.html\nloading and rendering fraction_word_problems_1\nloaded fraction_word_problems_1, 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(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)\nstart of makeProblem\nchose problem type and seed for fraction_word_problems_1\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(graphieLoad not a fn; src undefined)\n(kvectorLoad not a fn; src undefined)\n(graphie-helpersLoad 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\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)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(graphie-helpers 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)\ndone with runModules\ndecided on answer type rational\nvalidator created\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\text{fraction of pizza eaten} = \\dfrac{\\text{number of slices eaten}}{\\text{number of slices total}})\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)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(graphie-helpers 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(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)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(graphie-helpers not a fn; 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src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(word-problems not a fn; src undefined)\nvalidator created\nstartTask...\nstartTask got task undefined\nloadExercise start dividing_decimals_1.html\nloadExercise start recognizing_fractions.html\nloading and rendering arithmetic_word_problems_2\nloadExercise start arithmetic_word_problems_2.html\nloadExercise got arithmetic_word_problems_2.html\nloadExercise submod math\nloadExercise submod word-problems\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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish arithmetic_word_problems_2.html\nloaded arithmetic_word_problems_2, 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(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(word-problemsCleanup 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(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for arithmetic_word_problems_2\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)\nrunning word-problemsLoad\nran word-problemsLoad\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($6)\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(word-problems 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(word-problems 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(word-problems 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(word-problems 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(word-problems not a fn; src undefined)\nvalidator created\nloadExercise got recognizing_fractions.html\nloadExercise submod math\nloadExercise submod graphie\nloadExercise submod graphie-helpers\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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish recognizing_fractions.html\nloadExercise got dividing_decimals_1.html\nloadExercise submod math\nloadExercise submod math-format\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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish dividing_decimals_1.html\nloadExercise start ordering_fractions.html\nloading and rendering dividing_decimals_1\nloaded dividing_decimals_1, 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(word-problemsCleanup 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(word-problemsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for dividing_decimals_1\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)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\large{4 \\div 0.2 = {?}})\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)\ndone with runModules\ndecided on answer type number\nvalidator created\nloadExercise got ordering_fractions.html\nloadExercise submod math\nloadExercise submod math-format\nloadExercise submod interactive\nloadModule mod /khan-exercises/utils/interactive.js\nloadModule mod /khan-exercises/utils/../third_party/jquery.mobile.vmouse.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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish ordering_fractions.html\nloadExercise start ordering_negative_numbers.html\nloading and rendering recognizing_fractions\nloaded recognizing_fractions, 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(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)\nstart of makeProblem\nchose problem type and seed for recognizing_fractions\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(graphieLoad not a fn; src undefined)\n(kvectorLoad not a fn; src undefined)\n(graphie-helpersLoad not a fn; src undefined)\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad 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)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(graphie-helpers not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type number\nvalidator created\nloadExercise got ordering_negative_numbers.html\nloadExercise submod math\nloadExercise submod math-format\nloadExercise submod graphie\nloadExercise submod graphie-helpers\nloadExercise submod interactive\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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish ordering_negative_numbers.html\nloadExercise start simplifying_rational_expressions_4.html\nloading and rendering ordering_fractions\nloaded ordering_fractions, 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(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(graphie-helpersCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup 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(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(graphie-helpersCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for ordering_fractions\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(interactiveLoad not a fn; src undefined)\n(graphieLoad not a fn; src undefined)\n(kvectorLoad not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseLoad 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)\n(interactive not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse not a fn; src undefined)\ndone with runModules\ndecided on answer type custom\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(interactive not a fn; src undefined)\nrunning graphie\nran graphie\n(kvector not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse not a fn; src undefined)\nvalidator created\nloadExercise got simplifying_rational_expressions_4.html\nloadExercise submod math\nloadExercise submod math-format\nloadExercise submod rational-expressions\nloadModule mod /khan-exercises/utils/rational-expressions.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-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish simplifying_rational_expressions_4.html\nloading and rendering ordering_negative_numbers\nloaded ordering_negative_numbers, 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(interactiveCleanup not a fn; src undefined)\n(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseCleanup 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(interactiveCleanup not a fn; src undefined)\n(graphieCleanup not a fn; src undefined)\n(kvectorCleanup not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for ordering_negative_numbers\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)\n(graphie-helpersLoad not a fn; src undefined)\n(interactiveLoad not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseLoad 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)\n(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse not a fn; src undefined)\ndone with runModules\ndecided on answer type custom\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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse 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{red}{36},\\color{olive}{5},\\color{blue}{-79},\\color{gray}{-9},\\color{brown}{52})\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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse 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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse 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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse 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\nMathJax done typesetting (\\color{blue}{-79})\nMathJax done typesetting (\\color{gray}{-9})\nMathJax done typesetting (\\color{olive}{5})\nMathJax done typesetting (\\color{red}{36})\nMathJax done typesetting (\\color{brown}{52})\nran graphie\n(kvector not a fn; src undefined)\n(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse 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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\color{blue}{-79},\\color{gray}{-9},\\color{olive}{5},\\color{red}{36},\\color{brown}{52})\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(graphie-helpers not a fn; src undefined)\n(interactive not a fn; src undefined)\n(../third_party/jquery.mobile.vmouse not a fn; src undefined)\nloading and rendering simplifying_rational_expressions_4\nloaded simplifying_rational_expressions_4, 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(graphie-helpersCleanup not a fn; src undefined)\n(interactiveCleanup not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseCleanup 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)\n(graphie-helpersCleanup not a fn; src undefined)\n(interactiveCleanup not a fn; src undefined)\n(../third_party/jquery.mobile.vmouseCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for simplifying_rational_expressions_4\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(rational-expressionsLoad 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; 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