{"pages":{"search":{"query":"Hill Math - Topics","originalQuery":"Hill Math - Topics","serpid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","parentReqid":"","serpItems":[{"id":"641800781636494972-0-0","type":"videoSnippet","props":{"videoId":"641800781636494972"},"curPage":0},{"id":"7012352019153851521-0-1","type":"videoSnippet","props":{"videoId":"7012352019153851521"},"curPage":0},{"id":"1389943109375860163-0-2","type":"videoSnippet","props":{"videoId":"1389943109375860163"},"curPage":0},{"id":"10405551666389587790-0-3","type":"videoSnippet","props":{"videoId":"10405551666389587790"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEhpbGwgTWF0aCAtIFRvcGljcwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","ui":"desktop","yuid":"8549031011769151390"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"12408381090660532403-0-5","type":"videoSnippet","props":{"videoId":"12408381090660532403"},"curPage":0},{"id":"9759879766147642875-0-6","type":"videoSnippet","props":{"videoId":"9759879766147642875"},"curPage":0},{"id":"1504965499015783271-0-7","type":"videoSnippet","props":{"videoId":"1504965499015783271"},"curPage":0},{"id":"11083612843147986377-0-8","type":"videoSnippet","props":{"videoId":"11083612843147986377"},"curPage":0},{"id":"86505431858778611-0-9","type":"videoSnippet","props":{"videoId":"86505431858778611"},"curPage":0},{"id":"10825632703767819265-0-10","type":"videoSnippet","props":{"videoId":"10825632703767819265"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEhpbGwgTWF0aCAtIFRvcGljcwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","ui":"desktop","yuid":"8549031011769151390"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"4167187593585547686-0-12","type":"videoSnippet","props":{"videoId":"4167187593585547686"},"curPage":0},{"id":"14625601440587839189-0-13","type":"videoSnippet","props":{"videoId":"14625601440587839189"},"curPage":0},{"id":"6472742774788236211-0-14","type":"videoSnippet","props":{"videoId":"6472742774788236211"},"curPage":0},{"id":"5450491322006008748-0-15","type":"videoSnippet","props":{"videoId":"5450491322006008748"},"curPage":0},{"id":"81466675785044026-0-16","type":"videoSnippet","props":{"videoId":"81466675785044026"},"curPage":0},{"id":"4716438452931842681-0-17","type":"videoSnippet","props":{"videoId":"4716438452931842681"},"curPage":0},{"id":"13679793528204675122-0-18","type":"videoSnippet","props":{"videoId":"13679793528204675122"},"curPage":0},{"id":"5025175282146169703-0-19","type":"videoSnippet","props":{"videoId":"5025175282146169703"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEhpbGwgTWF0aCAtIFRvcGljcwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","ui":"desktop","yuid":"8549031011769151390"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DHill%2BMath%2B-%2BTopics"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"7860930593160965248720","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1471990,0,4;1466868,0,76;1414493,0,76;1468855,0,20;1460717,0,22;1462157,0,85;1459297,0,60;1312967,0,57;1452511,0,89;27392,0,57;1459946,0,19;1464524,0,48;1463533,0,92;1466295,0,32;1465958,0,52;1466086,0,74;1467160,0,0;1464404,0,27;1349038,0,43;241534,0,34;1460387,0,77;40254,0,84;1470322,0,41;856305,0,1;151171,0,31;1459211,0,45;1281084,0,70;287509,0,52;1447467,0,76;1447550,0,31;1468028,0,41;681841,0,47"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DHill%2BMath%2B-%2BTopics","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Hill+Math+-+Topics","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Hill+Math+-+Topics","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Hill Math - Topics: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Hill Math - Topics\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Hill Math - Topics — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y2d8bb2146fb7044fe8ff01c54b92c35f","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1471990,1466868,1414493,1468855,1460717,1462157,1459297,1312967,1452511,27392,1459946,1464524,1463533,1466295,1465958,1466086,1467160,1464404,1349038,241534,1460387,40254,1470322,856305,151171,1459211,1281084,287509,1447467,1447550,1468028,681841","queryText":"Hill Math - Topics","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"8549031011769151390","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769151411","tz":"America/Louisville","to_iso":"2026-01-23T01:56:51-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1471990,1466868,1414493,1468855,1460717,1462157,1459297,1312967,1452511,27392,1459946,1464524,1463533,1466295,1465958,1466086,1467160,1464404,1349038,241534,1460387,40254,1470322,856305,151171,1459211,1281084,287509,1447467,1447550,1468028,681841","queryText":"Hill Math - Topics","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"8549031011769151390","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"7860930593160965248720","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":152,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"8549031011769151390","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1752.0__ae004822389e3439f94879359ebf2afe68764f77","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"641800781636494972":{"videoId":"641800781636494972","docid":"34-0-4-ZBC3FC90973FBBC51","description":"Need a McGraw-Hill math tutoring? Visit http://www.mathhelp.com/math-homework-help/. MathHelp.com offers comprehensive math tutoring for students using McGraw-Hill math textbooks. Simply select...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2706631/d5575d25d7238ae0bcb8ce00a2f0791c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/6Xm5WgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1pBPbeTkQ2E","linkTemplate":"/video/preview/641800781636494972?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"McGraw-Hill Math Tutoring | MathHelp.com","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1pBPbeTkQ2E\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TVoIEJAGABCsqiwEQARp4geoFAvr-AgD8AAwP-An8Av0C9Af4_f0A9PD5_wUC_wD49gQADAAAAAn4AvgKAAAA_QHyBwL-AAAMCwwGBQAAAAwJ-vkAAAAACA4NB_4BAAD87v0OBP8AAAwNDvcAAAAAEwIHAP7__wAJFgb-AAAAAAD__v8AAAAAIAAtuojVOzgTQAlITlACKoQCEAAa8AF_9w__2vasAdQFxQCuGOgA1RonAB8p3gC3--gA6_7YAAr94AD1EPz_BxgFALEU7P8U1rAC-cwCAD7a_AAp9vP_1QjoADrmFQAEEzUCAO0DAAIkLv4H7BwAFvHa_w__4QAZABX-DxL3_gvptAkYAyAB4_kwBC8CDf72ufQD9dT8AxD87wQNNfMCNPIB-NUcIgIN5vwJMQYV_Pgh__r79OL88dMl_wQb4gUW5RIPGA_hAr_7AwEa3RoCDj4B_944BA3lGiT-4vH68xwaEPdQ--8S7_vd8-jk4_8KCAMPCCIB_RDkBQLs6QPxy_IFDAsD7fggAC1O_As7OBNACUhhUAIqzwcQABrAB3EgzL7UPRy9Bi9VvGtyJz25kS09kjk7PJrMnbzrXbK8XMMUPBiYBT6AM-s7f7O9u4zim73m9Cu8xeMCPf29dD6SVEu9A7HsPHoXL74IPDA9KZ_UvJZZBL2HzAs9nFPJvLjt1rzAQ6w84FksvX55fD0ZxbK8Fp48PG-xDL1WWxu9UjjMvLGczryXnEm8tu1gvRbQNb3wxhu7towrOxhaHT5qB3G7tIUQPG7rPT2AwJy7RKqDvAU0Mb7zuhQ9PgeWvMdMAj5IDCw9XhwLPShCb71C0ae9oX-nuxF2lb0PCV-8pCRavNvbzT2huqk9pojCvCfyqT1HH3M9gzvIu2UXXL54p4w8KAS8u_B_bD1mqcA95WUJPK70Kr5txd49itQLu2FJwzwdFzw7sBIePLk7hjwgruI7HrV4POlrET1NGn68TPIOPAib8Lz_Yxw9Fw2ZPAEqpryN5Dy9bz-qvMapET2Z9eI9O5_sO0kV4LzP93A703LaunNPgj2WOFc9Q7DFvByMYj2JDly8YY_kvGBnhD35Eb-9PWsSPCi6vr2m7Lm9Q6SNO1JI8Lsg1rY81aiRvEOpHT4fatu9xJqpOak4CT1xAP29oYBtuQLIij04jI29FMdku7QzljwuxM88X7djvA-nAr0B8US9BQYgvL7syD0Pszw9pNIrOmwB57swR--9P5qgup4JzT2H9JA9u3aSuquoy7xvmM281VU5upWNjT3qN5i9hVVvOsBezL1gGFW9KaUQuwfI_LzTzCm9g6Vbuo832T2daW264QYJuarwSrv0fu07mWSiunuH-735DE292V1iufXdSD3bVmg5eJgEuVQb_L1iu_u9E9PyOes_Zj0h2Ce8MKb5uD7jh72Qqp6792cIOdNS1Lx6Qbq8J34UuuKt8zzesAg9oBPDuHlhRj3MA_08KQbgOEhTPT2WOWK9MuaSOB86Mz3o8cC98p5LOTCh4j0IuBa991bdOKsmiD3Pt5q9-5-HOY72aT15CI49il2eOICckD1IwK09fL7iONyUHD1OopQ9usCHN2CbBbyMRE29dp0vOBVHLz3q-1o9njb0uJx6c73XS9M9n42XOF2_AD2_GQu9yXJiOIBxGzyhcde8tHkfuACUGr0bEnc844azOMKk2D02Kia9e7QtuTRTED2CVOq95RyOuLvtgryX5qG9-jj_t4EmYr1NqBs9dgd1OFNlTjx7XJW9XnW8t8r0cD0i4Ss-8cuKODGJBL346be5-3WFuDhPUL041go9EHamNnrOTLzobYe8urGbNyAAOBNACUhtUAEqcxAAGmAU_gA7ITnt0uIJ5MHc7xj48hO5Htca__gO_yLz4fv0F7bUIT3_EM1Bv6UAAAAa_vLyLgDBe_7S_S4R6x2xzt8S9n_oEEzQ5iP0x_XY3w8fOwoACWcA-fWoZBPf1U4OHBkgAC3Kkxk7OBNACUhvUAIqrwYQDBqgBgAA6EEAAADCAADqQgAAQEAAABDCAACAwQAAhEIAABjCAABowgAAEMEAAIA_AABQQgAAAAAAAOBBAABAwQAAiMEAAJRCAAAAQgAA4MAAACDCAACYwQAAgL8AAJjCAABwQQAAmMEAAHDBAACEwgAAkEEAAIhCAAAQQQAAgMAAAJBCAACAvwAAuEEAAFjCAAA0QgAAwEEAABRCAAAQwQAAoMAAAKhBAAAUQgAABMIAADjCAADQwQAAAEIAAKjBAABQwQAAXEIAAAjCAACYwQAAiMEAAIhBAACIQQAAcEEAAGzCAABQwQAAgEEAAOBBAAAIQgAA2EEAALDBAACQwgAAgsIAAGzCAACAPwAARMIAAEjCAACIwQAAmEEAAHBCAADgQAAAEMIAAGDBAACQwQAA1sIAAN7CAACgwQAAIEIAAIjCAAA8wgAAAMAAAODBAAAAQAAAUEIAACRCAAAswgAAJMIAAHBBAACAvwAACMIAALhBAADYQQAA0MEAABRCAABgwgAAQMAAAHDBAADAQAAAwEEAADTCAAC4QQAAhEIAAJ7CAAAowgAAnEIAAIjBAACQQgAAgMEAALJCAACqQgAAVEIAAMBBAADAQQAANEIAAABCAABAQQAAuMEAAJDBAADiwgAAmEEAAJjBAACAPwAAuMIAAJhBAAAwwgAAQMAAADzCAADgwQAAJMIAAAxCAABAwAAAIMEAADxCAADoQQAAMMIAAIBAAACgQQAAMMEAAJjCAABAQgAAUEEAAABAAAAQwgAAeEIAABBCAAAAAAAAAMAAALjBAAAwwgAAKEIAACDBAAAUQgAAGMIAAFjCAAAgwgAAcMIAAIC_AADAwQAAZEIAABDCAABYQgAAIEEAAEBBAABkQgAAQMAAALBBAADgQQAAEEIAACTCAABIwgAA0MEAAPBBAABwQQAAgMAAANBBAABYQgAAwEAAAFhCAADIQgAATMIAAIzCAACAvwAAgMAAAKBAAAC4wQAAMMEAADRCAAAQwgAACEIAAIBAAABAQQAAoMEAAEBAAAAEwgAAiEEAAODBAACoQQAA4EAAAPjBIAA4E0AJSHVQASqPAhAAGoACAAAEvgAAND4AAIA7AACgPAAALL4AAAk_AACIPQAAU78AAAG_AABwPQAAEL0AABy-AAAkvgAAtj4AAIi9AACIvQAAqD0AADQ-AADIPQAAHT8AAG0_AAB0vgAA4DwAAGS-AAC6vgAApr4AAHw-AAAkvgAAZL4AADQ-AACmPgAAir4AAEC8AABQvQAAhj4AADC9AAAcPgAA-L0AAJK-AABsvgAAuD0AAIa-AADovQAABL4AAKi9AAAcPgAAlj4AAAy-AACAOwAAF78AALg9AABwvQAAuD0AADA9AABwvQAAqD0AAH8_AABEPgAAnj4AAHA9AACAOwAAZD4AAOg9AAA8viAAOBNACUh8UAEqjwIQARqAAgAAgr4AAO4-AAAsvgAAF78AADA9AABwPQAApj4AADy-AACCPgAAJD4AALi9AAD4vQAAtr4AAN6-AAC4PQAA4DwAANi9AAApPwAA5r4AAJo-AACgvAAAZL4AAPi9AACYPQAAqL0AAAQ-AACqvgAAPD4AAGS-AAA8vgAAuD0AAOg9AADYvQAAmD0AAEw-AAAQPQAAij4AAHQ-AACivgAA6L0AAI4-AADgPAAAML0AAJi9AABAvAAAMD0AAH-_AAAwvQAAUL0AACS-AACoPQAA4LwAAIY-AACYvQAAZD4AAJg9AABQvQAAyL0AAKi9AABQPQAAJL4AABw-AAD4PQAAVD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1pBPbeTkQ2E","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":360,"cratio":1.33333,"dups":["641800781636494972"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1263546874"},"7012352019153851521":{"videoId":"7012352019153851521","docid":"34-1-7-Z746358D9B82FFE9B","description":"Math2Heart is a new curriculum being created and taught by Elizabeth Hill. Math2Heart brings math into student's hearts through art! Learn about lines, rays, and line segments and have fun...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4371468/96e46d3ecfe2334d54f5fff6315f81cd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jqKOEgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlWnOLYeqeC4","linkTemplate":"/video/preview/7012352019153851521?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lWnOLYeqeC4\",\"src\":\"serp\",\"rvb\":\"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_QD1-AYJDwb8AQoJ__f2AAAA_fH0-P4F_gDx9vsOBQAAAP0HBAsEAAAABQr0Dv39AQAT_-8IAgAAAB75AvT9AAAAFgb_AP4BAADt8v0MBP8AABUEEwIAAAAA_voLEgAAAAD-9goFAAAAAP_1Af4AAAAAIAAtUYzLOzgTQAlITlACKoQCEAAa8AF_7fQCzP0A_irp_ADfDwMAogAB_1Xv9f_nCBgA0wLrAAcH-gDtzxYBEwYXAdMDDwD--_3_Af4VAAQYCQBWCfsB4REGAAzj9QEDAQIB6vH8APgG7f8IEAgAAPD_AQ8ICP_9Ayr_-QfsAQ_29QIR_P8D-PT6AfAE6gH6-hX_ARIKAQMM_v0bDAL9AgEE_PIOJwD-_u0F-RL5-_kd9wP-DOYDA_f0AA356QD7EPUBFAj4Avkd__0YA_H-7wENBPoUAP8H_QYGBxIEAAES_f0IBAv-C-oUAgzo_fgN_vcG_9wG-gQBAP399wvy5-4CAfIBBQwgAC3aDV87OBNACUhhUAIqcxAAGmA0BwA99R4C4_k03MzvFAcMBTPwJtcHAPbEACL0594W_d3RJR__Ir_-_rUAAAAK6wH-MADka_zc7AAHG_3AsAT6A3_8FwrfDyr-t9_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_AACYQQAAnEIAADhCAAAgQQAA6EEAAOBBAAAwwQAAGMIAACBBAAAQQgAAMMEAAPDBAACgQQAAMEEAAGjCAABAQAAApsIAABBCAADQQQAAUMEAAKBAAABwQQAAgkIAAMDBAACAwQAAwMEAAFBBAADgwQAAgL8AALhBAABQwQAAQMAAAAAAAADoQQAAoEAAAMDBAABQwgAAaMIAADBCAABwwQAAAMEAAPhBAABAwQAAkEEAABzCAABgQQAAwMEAACDBAADQwQAANMIAAEBAAAAgwQAAcMIAAABBIAA4E0AJSHVQASqPAhAAGoACAAAsvgAAfL4AACw-AADgPAAAMD0AAEw-AADIPQAA6r4AAMK-AACgPAAAhr4AAIg9AAC4vQAAtj4AAPi9AABQPQAAVD4AAEA8AACYPQAAtj4AAH8_AADovQAAED0AADC9AAAwvQAAEL0AALg9AAAUvgAAPD4AAIo-AADIPQAAUD0AADC9AAA8vgAA2D0AAIA7AACgPAAABL4AAJK-AAAkvgAAVL4AAEA8AADIPQAAHL4AAIi9AADYvQAATD4AALi9AACovQAAuL0AAAQ-AAA8vgAAbD4AABS-AAAsvgAAQLwAADU_AAC4PQAAXD4AAFA9AABQvQAA4DwAAIg9AACgvCAAOBNACUh8UAEqjwIQARqAAgAAoDwAAKA8AAC4vQAAKb8AAAy-AAAkvgAAgDsAAFC9AABMvgAAyD0AAKi9AABMvgAAuL0AALK-AABAvAAAiL0AADA9AAARPwAABL4AAIY-AADgPAAAmD0AAAy-AAC4vQAAUD0AABC9AABEvgAA4DwAANg9AACIPQAA4DwAAAQ-AACovQAAir4AALi9AADIPQAALD4AAOg9AABEvgAAoDwAABQ-AAAUvgAAjr4AAMg9AAAwvQAAED0AAH-_AABQvQAABL4AAKg9AABUPgAALL4AAJi9AACAOwAA4LwAABA9AABAvAAARD4AADS-AABwPQAA4DwAAMg9AAAkPgAAuL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=lWnOLYeqeC4","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7012352019153851521"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1389943109375860163":{"videoId":"1389943109375860163","docid":"34-3-5-ZE80ED9EB7DD81082","description":"#limit #partialfunctionlimit #syntax Limit of a piecewise function, limit continuity, limit graph, limit properties, syntax limit, limit topic explanation, limit problem solution limit syntax...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032510/3f6600404efd9213ebe607331f66dc22/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/aU0HCAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=videoid:1389943109375860163","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin parçalı fonksiyonların limitleri konusunu anlattığı eğitim içeriğidir. Öğretmen, iki gündür rahatsız olduğunu belirterek dersine devam etmektedir.","Videoda parçalı fonksiyonların limitleri konusu detaylı olarak ele alınmaktadır. Öğretmen, kritik noktaların belirlenmesi, sol ve sağ limitlerin hesaplanması ve bunların eşit olması gerektiği konusunu örneklerle açıklamaktadır. Ders boyunca 44. sorudan 48. soruya kadar olan parçalı fonksiyon limit sorularının çözümü yapılmakta, ayrıca f(x) ve g(x) fonksiyonlarının limitleri, bileşke fonksiyonların limitleri ve mutlak değer fonksiyonlarının limitleri grafik üzerinden gösterilmektedir.","Öğretmen, limit hesaplamalarında dikkat edilmesi gereken noktaları ve hızlı çözüm yöntemlerini paylaşırken, öğrencilerin kendi başlarına çözmesi için alıştırmalar da sunmaktadır. Video, öğrencilere ilk beş testi başarıyla çözmeleri için motivasyon vererek sonlanmaktadır."]},"endTime":1366,"title":"Matematik Dersi: Parçalı Fonksiyonların Limitleri","beginTime":0}],"fullResult":[{"index":0,"title":"Parçalı Fonksiyonların Limiti","list":{"type":"unordered","items":["Parçalı fonksiyonların limiti, süreklilik ve türev için önemli bir konudur.","Parçalı fonksiyonların limitini hesaplamak için sağdan ve soldan limitleri inceleyip eşit olup olmadığını kontrol ederiz.","Parçalı fonksiyonların kritik noktaları, parçaların tanımlanma aralıklarının sınırlarıdır."]},"beginTime":37,"endTime":96,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=37&ask_summarization=1"},{"index":1,"title":"Kritik Noktalarda Limit Hesaplama","list":{"type":"unordered","items":["Kritik noktada limit hesaplanırken, soldan limit için kritik noktanın solundaki fonksiyon parçası, sağdan limit için ise sağındaki fonksiyon parçası kullanılır.","Limitin olması için sağdan ve soldan limit değerlerinin birbirine eşit olması gerekir.","Kritik noktada sağdan ve soldan limitler eşitse limit vardır, eşit değilse limit yoktur."]},"beginTime":96,"endTime":267,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=96&ask_summarization=1"},{"index":2,"title":"Kritik Nokta Haricinde Limit Hesaplama","list":{"type":"unordered","items":["Kritik nokta haricinde limit sorulduğunda, ilgili noktanın hangi aralıkta olduğu belirlenir ve o aralıktaki fonksiyon parçası kullanılarak hesaplama yapılır.","Kritik noktada limit hesaplanırken sağdan ve soldan limitler ayrı ayrı hesaplanır, kritik nokta haricinde ise tek bir fonksiyon parçası kullanılır.","Örneklerde kritik nokta (x=2) için sağdan ve soldan limitler hesaplanarak limitin olmadığını, kritik nokta haricindeki noktalarda ise normal fonksiyon değerleri hesaplanmıştır."]},"beginTime":267,"endTime":452,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=267&ask_summarization=1"},{"index":3,"title":"Limit Kavramı ve Kritik Noktalar","list":{"type":"unordered","items":["Limit kavramı süreklilik ve türev ile ilişkilendirilecek önemli bir konudur.","Kritik noktada limit sorulduğunda, sağdan ve soldan limitlerin incelenmesi gerekir.","Kritik noktada limitin olması için sağdan ve soldan limitlerin eşit olması gerekir."]},"beginTime":456,"endTime":483,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=456&ask_summarization=1"},{"index":4,"title":"Parçalı Fonksiyonlarda Limit Hesaplama","list":{"type":"unordered","items":["Parçalı fonksiyonlarda kritik noktada limit sorulduğunda sağdan ve soldan limitler hesaplanır.","Eğer sağdan ve soldan limitler eşitse, fonksiyonun o noktada limiti vardır.","Fonksiyon değerleri ve limit değerleri farklı olabilir, limit hesaplamasında fonksiyon değerleri kullanılmaz."]},"beginTime":483,"endTime":571,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=483&ask_summarization=1"},{"index":5,"title":"Parametreli Fonksiyonlarda Limit","list":{"type":"unordered","items":["Parametreli parçalı fonksiyonlarda limitin olması için sağdan ve soldan limitlerin eşit olması gerekir.","Limitin olması şartıyla parametre değeri bulunabilir.","Polinom fonksiyonların her yerde limiti vardır, kritik noktaların incelenmesi gerekir."]},"beginTime":571,"endTime":728,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=571&ask_summarization=1"},{"index":6,"title":"Çoklu Kritik Noktada Limit","list":{"type":"unordered","items":["Çoklu kritik noktada limitin olması için her kritik noktada sağdan ve soldan limitlerin eşit olması gerekir.","Her kritik noktada limitin olması için parametre değerleri hesaplanabilir.","Limit hesaplamasında, fonksiyonun tanımlı olduğu aralıklara uygun değerler yerine konulur."]},"beginTime":728,"endTime":911,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=728&ask_summarization=1"},{"index":7,"title":"Parçalı Fonksiyonlar ve Limit Hesaplamaları","list":{"type":"unordered","items":["Eski videolarda anlatılan parçalı fonksiyonlar konusu tekrar ele alınıyor.","Parçalı fonksiyonlarda limit hesaplamalarında, x'in önündeki işarete bakılarak yön değişimi yapılıyor; artı ise yön değişmez, eksi ise yön değiştirir.","Kritik noktalarda limit hesaplaması yaparken, sol ve sağ limitler ayrı ayrı incelenir."]},"beginTime":917,"endTime":1071,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=917&ask_summarization=1"},{"index":8,"title":"Örnek Problemler","list":{"type":"unordered","items":["Beş noktasındaki soldan limit hesaplanırken, beş değeri fonksiyona yerleştirilerek sonuç bulunur.","Eksi beş noktasındaki sağ limit hesaplanırken, eksi beş değeri fonksiyona yerleştirilerek ve x'in önündeki eksi işareti nedeniyle yön değiştirilerek sonuç bulunur.","Üç noktasındaki bileşke fonksiyonun limiti hesaplanırken, sağdan ve soldan yaklaşım durumları ayrı ayrı incelenir."]},"beginTime":1071,"endTime":1225,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1071&ask_summarization=1"},{"index":9,"title":"Grafiksel Çözüm Yöntemi","list":{"type":"unordered","items":["Grafiksel çözümde, kritik noktaya sağdan yaklaşırken grafiğin değeri bulunur.","Üç noktasında sağdan limit 6, soldan limit 4 olarak hesaplanır ve bu nedenle fonksiyonun o noktada limiti yoktur.","Bileşke fonksiyonlarda, g(3) değerine soldan yaklaşım olduğunda cevap 2 olarak bulunur."]},"beginTime":1225,"endTime":1366,"href":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1225&ask_summarization=1"}],"linkTemplate":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-un4xlWByH8\",\"src\":\"serp\",\"rvb\":\"EqYDChI2NDE4MDA3ODE2MzY0OTQ5NzIKEzcwMTIzNTIwMTkxNTM4NTE1MjEKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEwNDA1NTUxNjY2Mzg5NTg3NzkwChQxMjQwODM4MTA5MDY2MDUzMjQwMwoTOTc1OTg3OTc2NjE0NzY0Mjg3NQoTMTUwNDk2NTQ5OTAxNTc4MzI3MQoUMTEwODM2MTI4NDMxNDc5ODYzNzcKETg2NTA1NDMxODU4Nzc4NjExChQxMDgyNTYzMjcwMzc2NzgxOTI2NQoTNDE2NzE4NzU5MzU4NTU0NzY4NgoUMTQ2MjU2MDE0NDA1ODc4MzkxODkKEzY0NzI3NDI3NzQ3ODgyMzYyMTEKEzU0NTA0OTEzMjIwMDYwMDg3NDgKETgxNDY2Njc1Nzg1MDQ0MDI2ChM0NzE2NDM4NDUyOTMxODQyNjgxChQxMzY3OTc5MzUyODIwNDY3NTEyMgoTNTAyNTE3NTI4MjE0NjE2OTcwMwoTODQ5Mzc1MTY3MTkwOTkxMzIwOQoUMTUwNDU5MDcyMzYxNDE2NzU5MzMaFQoTMTM4OTk0MzEwOTM3NTg2MDE2M1oTMTM4OTk0MzEwOTM3NTg2MDE2M2qTFxIBMBgAIkUaMQAKKmhoemV6dXdxbWJud2Z2dGNoaFVDeEhTTHhKY3VaOFNwRjV6Z0plUThDZxICABIqEMIPDxoPPxPWCoIEJAGABCsqiwEQARp4gf72BP8AAADu9P__AQIAAQz--gn3__8A8AMI8gMBAAD3CPsB_wAAAO4E7QT9AAAA_ff3Avr-AAAODv3--AAAABb4D_n3AAAA_REBD_4BAADt_gD2AgAAABAE-PL_AAAA8AQF_P7_AAD-CAMMAAAAAAX8-f4AAAAAIAAtHrbSOzgTQAlITlACKoQCEAAa8AF_Gtb_0-ni_9LS1f-dHCf_mjcE_wsN8AC0LC0DtPbEAOsc9gD37ar_Ldfv_8wQKQAeAcEA2b8OADbtAP8kFQUA1fEKADX2BAEt--gC5Rbz__kVB__jDhAAE9n3ABwO5P3u8R79zPr5A_H66_0R0QYGBdQSAgT0_gbc6hoE_xf-_Ovb1_0OLBwD3d75_NUcIgL-6SD7AAP69wflAPnu-OIKLtT5Ax4d4P3Q6uEB5Pz8CikSEPb83-v6FyMl_uELBvr76Br-9-D0AyUsC_c2LwkI4wsCAPrRAwYqGQ8B7vcJ__jx9u_09QwJ0Qz9FNjx9PkgAC0Y8Aw7OBNACUhhUAIqzwcQABrAB2oW0L6slBk9Uw33u6AUcr3bugA98-7-vEvTtr2Wyys9rO4Hvbw_jj3dkyg7ieApvQRUOL6WoaK7BEi-vP29dD6SVEu9A7HsPHoXL74IPDA9KZ_UvG7fY77VbkW9Bp4bvU0sUD5X_KA9UiaYOifAcD30zhm8T7HqvIVgdb0bFl69gX46vIkLcL61xIq8Yq0QvQUpgryafkS9Zs-vPHcx7T2PACm9dpYRPDQ8xzxwA5O99V02vJVmDr0pnaO8RNsxPOvgAD4CwqK8h3STvDFCGL3C-v88Ma-IvJdXzr2gqTK8EPy5vI1_nzuhjn09_wkuvBq1nD0x8Le8MOEnOyY19L1-Ay49q7oCPfB_bD1mqcA95WUJPHq2Xb1pQDg9j5rEu4qVLLzln3Q8N-M0vAcmdz1cDT88zdIpvDdMiT2N_TY9yyrPuplrnL0UuiI8wZijPPhxtLxYHA488UdRvB_EKbwJyum6kstiu42bmr1zlTg97PuLvLvU6D3VeVQ8nKX3OdthfT1_1kE93ri5O8U1Qz34UQ2-CW8su2HeozyGPOK9WUlxu-qvW7vd_qa82tNlO_YFqT3BvNG8b3zxuwZ1y73vHYW9YRZVuY510T1f4lm8myqOPH9sEr0zL0y9mAPWu9i_xrzE3lU8f_ExvP7Zuj0rEgM-y7FbuecH5Lxol4-9mbUYu2OknT1qBic9kJ_wOo2_ujlhWi88aI-bO5YvHj2u2I-99j_humZWpTz20Wm9tWxOO4lWkzuwhaq8igGWuw1ha7u2PIU8RN40O5nAiD3zdt88xQeKt8FdrLzgJNW6mdPkOKxTpTweWGm8f3ahOe-rEj3OpgO-FqHWtykfJ730pRa89buPO0K8xD3piqW7-OowuUoLF74K3Jq9qarhti1BJr0iTsy7lH8LuZ6MWz3DYhi8tf5st8byMz2J3CI9F372tw9SJrxg7s26QlgnOMDMFz6Zck89nEAAOUHxAz1xT8G91zh7OZJa6DyL8as9uhvWNwgDL70Utqo9P-glNy5OQb3Fb6u7ejNVuO5ubz0UQRy9CRWxtpi8ojsi64C7WXDAOCq-y72osj6950aVN12_AD2_GQu9yXJiOONC1Dw_kq083C_Btrg6xb0-Qo28wv8yOMHjKz7cpWi8B4l0uVxJAb3K3tK9FyIEue4B3zzVXQm-RxjEOK0kQ70Mc0c9HsEWN-TVnrx6ifG9ZVUwuCL_7D01KQU-835buG0nwDzrw_o8mg-4uPs3FL2Jzjc9rw2Pt8RA17yYBjS8q4C-NiAAOBNACUhtUAEqcxAAGmA07gAu4hrfD_UU_BH-DR3VsPDQE733_xbe_9AX7v4PHsecIfcAHsXl554AAAA4DtfxHwDof8cD2S7Z-Qa7jwAl2WQn7h3f5QkBj-YQHBsC6eDkPxUA_-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-wgAA0EEAAKBBAAAAQQAAUMEAAIC_AACCQgAAZMIAACTCAABAQAAA0EIAADDCAADgwAAAVMIAAHBBAACIwgAAgEIAAKjCAACAvwAAnsIAAFxCAAAgQgAAQEIAAILCAAAgQgAAMMIAAABBAACmwgAAQMEAAABCAABoQgAAmEEAAGDBAADAQAAAoMEAADjCAAD4QQAAAEIAAIBBAACIQQAAMMEAANhBAADAQAAABEIAALDBAACAQQAAAAAAAMBAAACQQQAAmMIAAFBCAAA0QgAAYMEAALjCAACAQgAAOEIAAIC_AAAAAAAA8EEAAChCAAAwQgAAUMIAACRCAADgwAAAfEIAAIDAAACKwgAAAMEAACDCAAAAQAAAyMEAADTCAABgQQAANMIAAAxCAABsQgAAkMEAANjBAADQwQAAwMEAAKDAAADCwgAARMIAAABBAACwwQAAgL8AAGjCAAD4wQAAwEAAABRCAACgQQAAAMEAAODBAAAAwQAAoMEAABDBIAA4E0AJSHVQASqPAhAAGoACAAD4PQAAVL4AADQ-AAAUvgAAgj4AAOo-AAAMPgAAOb8AAFy-AABUPgAADL4AADC9AAA0PgAAXD4AADS-AACAOwAALD4AAEA8AAAEPgAACT8AAH8_AADYvQAAVD4AAJg9AACmvgAAUD0AAJI-AACgPAAAsr4AAOg9AAA0PgAAiL0AAHC9AABwPQAATD4AAMi9AADIPQAAgDsAAOK-AACIvQAAnr4AALI-AAD4PQAAbL4AAIa-AAB0vgAAgj4AABS-AABAPAAACb8AAOC8AABwPQAARD4AAOY-AABQPQAABL4AAC0_AACIPQAA4DwAAJY-AABQPQAADL4AAKg9AACgPCAAOBNACUh8UAEqjwIQARqAAgAA6L0AAFQ-AACSvgAASb8AALK-AABwPQAAnj4AAMg9AACIvQAAtj4AAKg9AAAsvgAAVL4AADC9AAAwPQAA2L0AALi9AADmPgAAgLsAAPI-AAD4PQAAXL4AAIA7AABkvgAAoDwAAOA8AAAEvgAAgDsAADA9AAAQPQAAML0AAJi9AAAQvQAAFL4AAHA9AABkvgAA2D0AAIA7AACYvQAA-D0AAAw-AAAEPgAAFD4AAFA9AABwvQAAbD4AAH-_AADoPQAAEL0AABw-AABAvAAAoDwAAMg9AABUPgAA4DwAAHA9AABQvQAA2L0AAFA9AAA8vgAA4DwAAMg9AABwPQAAcD0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=-un4xlWByH8","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1389943109375860163"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1761408806"},"10405551666389587790":{"videoId":"10405551666389587790","docid":"34-8-14-ZEE3AAAD40CD58B6E","description":"I'm here with you on day 13 of my 30-day topic-by-topic math problem-solving camp, solving problems on identities and factorization! I've prepared a great video for you with questions similar to...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/910896/0f0b9369c952556d59ecd7923a3f4e02/564x318_1"},"target":"_self","position":"3","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQeSssEuuDY8","linkTemplate":"/video/preview/10405551666389587790?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"30-Day Topic-by-Topic Math Problem Solving Camp - Day 13: Identities and Factorization (+PDF)","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QeSssEuuDY8\",\"src\":\"serp\",\"rvb\":\"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_E_AGggQkAYAEKyqLARABGniBBAD99_8BAPwAEAUHB_wBBvUA-vj-_gDo_QUC__4BAPYE9vX4AAAA8vv4AQgAAADzA-v6-f8AAAUHB_j4AAAAEv4A-P8AAAD7EPr__gEAAPz8CgQD_wAADwAI-_8AAAD5_QoFAQAAAP4J_wMAAAAA-AAGBP__AAAgAC3MZtY7OBNACUhOUAIqcxAAGmAgDAA1FfAO4uoD4vD-9hbSxBbt9QAl_xbb_xQq6skFQdWsGw7_QrUj96QAAAAq6P8gWQDZceQVsBYUJAHQzPYLCH_eGf3wJ-3fxc700zPWA_TMIyIA8uLtCDnmsGUVGQcgAC1z5iE7OBNACUhvUAIqrwYQDBqgBgAAwEAAAIA_AACIQQAAAMEAAIDBAADwQQAA6EEAAHhCAAA0wgAAyMEAAEBBAABwQQAABMIAANhBAADGQgAAuMEAACzCAACAwgAA6MEAACBBAADAQQAAHMIAAMDBAADYQQAAAAAAABTCAAC0wgAAkMIAAMhBAABAQgAAgEAAAFBBAABowgAAoEAAAMDAAACgQQAAkMEAANBCAADAwQAA0MEAAEDAAABQQQAA2EEAAKBAAADQQQAAgsIAAKDBAACqwgAArkIAAJDBAAA4wgAALEIAAExCAABwQgAACEIAAGBBAAB0wgAAcEEAAOhBAAA8QgAA4EEAAGzCAAAEwgAAUMEAAEDAAACIQQAAAMAAANDBAADgQAAAAEEAAJpCAABcQgAAbMIAAMJCAACwwQAAxMIAAFzCAAAYwgAAsMIAABDCAABAQAAAYMEAAABAAABAQAAAHMIAAJxCAAAwQgAAQMAAALhBAAAgwgAAOMIAAPhBAAAEQgAAQMEAAIA_AAC4wgAAoEAAABBBAAAoQgAACEIAAKDAAADIQQAAJEIAAMjBAACOwgAAEMIAAETCAABQQgAAwMAAALBBAAAwQgAA2MEAAJzCAABYwgAAwEEAAFBCAADgwQAALMIAAADBAABkwgAAkMEAACDBAADgwQAA8MEAAIJCAAAAwQAAAAAAACDCAAAAwQAAXMIAAIBAAADIwQAAQEEAAKBBAACgQAAAAEEAAMDBAABgwQAAosIAAEjCAAAAAAAANEIAALhBAABAwQAADEIAADBBAABAwQAAhEIAALhBAAAQQQAALMIAADBBAAD4QQAAIEEAAKBAAADAQAAAIEEAAJbCAAD4wQAAkkIAAADAAAAQQgAATEIAAEDAAACAvwAAOMIAAI5CAACiQgAAAAAAACBCAABAwgAAoEEAACDBAAAcQgAAcMEAAIA_AAAAwAAAgL8AAGhCAADQQQAAcEEAABzCAADQwQAA2MEAADxCAADAwQAAIMIAADBCAABEwgAAcEEAADzCAAAcQgAA4MAAADRCAAAMQgAAqEEAABTCAACgQAAAnsIAAKDAIAA4E0AJSHVQASqPAhAAGoACAACCPgAAgDsAANg9AADIvQAAqL0AALI-AACovQAAL78AABS-AACiPgAAgDsAAPg9AACgPAAABD4AAK6-AAAQvQAAhj4AAOA8AAAcPgAAGT8AAH8_AABUvgAAFD4AABA9AABEvgAALD4AAIC7AACAOwAAHL4AADQ-AACIPQAA-D0AAEC8AACAOwAA2L0AALg9AAAEPgAAgLsAAJq-AABUvgAA6L0AADQ-AAAsPgAAML0AAEA8AAA0PgAAHD4AAHC9AACgPAAAXL4AADQ-AADIPQAAwj4AAJI-AABMvgAAUL0AACU_AACovQAAED0AAEA8AADYvQAAEL0AAMg9AAC4PSAAOBNACUh8UAEqjwIQARqAAgAAHL4AAOC8AAA8PgAAK78AALg9AABsPgAAoDwAAKg9AACIvQAAhj4AAAy-AADYvQAAuL0AADy-AACAuwAAoDwAAPg9AAAnPwAADD4AANY-AACovQAAmD0AAEC8AAAQvQAAmL0AAKg9AACoPQAAoDwAAPi9AAAUPgAAiD0AAIg9AACYPQAA2D0AAPg9AACIvQAAFD4AAMg9AACuvgAAND4AAEA8AAAEPgAABD4AABC9AACCvgAAQDwAAH-_AAD4PQAAuL0AAHA9AADYvQAA-L0AAHw-AAAUPgAAVD4AAFA9AACYPQAADL4AAPi9AAAQvQAAuL0AAKi9AABQvQAAfD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=QeSssEuuDY8","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10405551666389587790"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12408381090660532403":{"videoId":"12408381090660532403","docid":"34-4-11-Z93513AB92AC921CA","description":"MathHelp.com - https://www.MathHelp.com - offers help on all math topics from Pre-Algebra through Algebra 2 with over 1000 online math lessons featuring a personal math teacher inside every lesson!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3142696/f8c68ab7657a598fb51f6601df5e0fb7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/doEBAwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFs_W1_Fom_s","linkTemplate":"/video/preview/12408381090660532403?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Topics - MathHelp.com - 1000+ Online Math Lessons","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Fs_W1_Fom_s\",\"src\":\"serp\",\"rvb\":\"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_E22CBCQBgAQrKosBEAEaeIHy_P_1_gIA-_z_EAEJ-wIMAPv69gAAAPUF9f31Av8A_fYHBAIAAAARA_X1AwAAAPEF7Qr-AAAABAb6CPkAAAAREv72_AAAAAoPAwD-AQAA_PgC_wL_AAAIBQ_8_wAAAAYUBgL-AAAAEA4KAgEAAAAHCwL8AAAAACAALR091js4E0AJSE5QAiqEAhAAGvABfwX7Arj07P4W7fAA7AvbAYsfCv8tNOT_2iIg_9L_7wH83eoB8PT5APP6__-4BCIBIO7d_wLrFAAQ3AUAUOoA_wkO-AFl3xABGgUZAfPuBP7xGxoAD_kb__0B0wAC8-0B8hIVAPP85vsJ7cIILfEcAuj8FQERDg3_8usLAdYjCf8p8OH9IA71BPLi__rdFxwB9gQAAw3_Ev0IKeoACArqBQAAAPw5BeIBCAkDDRH__AYZCAH8HfkIAhMA-ATlLg8BAQsp-_TlAfH8DfwBDur0BQX78f3sDvIBCAcDDALe-fT46gEA7wDz8dXzCvjr6_oVIAAt4OEpOzgTQAlIYVACKs8HEAAawAdBLKO-DzoyvG_7lLz9HBk8K7qavDszYjvx2Rq-snX8OzmPhL1U15s9z5KRPK-49jv4wYG-f-j4vERpTz1AvTk-4huqOQyl2LnPwHi-k4FNvIi2CL0UB1C-k3Z-PIqaHr09e8M9_RBAPdUNb7w86a496NS6uxNgZjqcOQE89suOuwKOUru9LDe8ALHAPFOitrwhjlq9ThR3PQSOhDwcC3o-c1yXvITMX7zO9g09c4vUvN_RsbuXUle-n6PAOra_zjwRACw-llsaPdsd7Tz_dok90bEDuy8eOTyTUaU8wUeOPFvvN7wmQKg9kKgrPW_Rrrz8w9Y9ZoCPO_vyF7xRh9W9FQ5TPahZe7wnkn49fPmIPeB8jzxXSZq8CTifvK6SWbxa1wk8MWCJvO6ayjuR1ng9n8I2vBBJ4zwseoy8dmVhPMkvLLu4P9c8HvKBuyqRRDz4cbS8WBwOPPFHUbzq05U9VYYRPi5w3LrfiM69khk5vLahT7qoTow9VhEOPbRsdzz4ZsU9v6KGPTZFNrzfZsY9ObXzvYcfGDz54-67W2H6vYUCvjtzDyk9bDDDvLbOibuvQzU9aL7JvWc7kbtMule9UeeAvPkyLLy6mFA9HxtXvWJqpjyxJC896GdqPGjU1zu_a6e7OsO5PNY1f7wSjjQ8Jso5PdBy6rtsAee7MEfvvT-aoLpUhYs9D5voPV6kUTrFmVW9O2_jvbRtLroOqpM9Cev1vCovvzo0kzk8mZJWPYqGFDvZhOq8L9QrvN39STrJtRc9U8KdPZkztLdBb7C9fT8VvYfhRTl3X987Ca1iPMJNA7nlQmW8pG_SvIY_Drj8s1W9dz2yvYUbMLhDCIO9Q5agvF-nAbpP8Cg9uQNQvbdb7LdTHpK9ShvIveFzmzc3U6G8s68VOf0yNTmv0ri88Go5PIle8LhCBtG7tlDNvItFJrltMck8KEnyvLSerDiPS6E9FO-bvNJuITgiPKU95cKHvTuMUjmK6Pc9P5CsPYLuZjjnHzg9D--5PbRouTj6WAu98fWVPWnG87iLFoA9RCrBvX0qIzjfaGw8vWKnPbAaiTci-wC-xl8kPReYZTgCigc8nzmgvbMRnbcI0sA9i5KbPePxeTib-Zq9LiYsPdddlzfOgqo9xArXvSz2Jrk3qag8QrzEvWRdGLjTyz495zniva1qWjggTau9zkSHPWc8NDgd4ww8Z0bfvWlQEriIhM89a7JLPYm3hThhi908lMs1PDXEjbhCp_E8lfrNPMNBSrhwma68cPrpvA9nuDcgADgTQAlIbVABKnMQABpgFvgAHPIl8eTzCNzl1xUo7wMRvQ3T_wAQGv8H_uja-hXqwScQ_wbDOcWvAAAAFPUN5ToA3W7j3NomF_g8uML8JvF_EhDy8PQG4t_6-c_g-z0HyBVeAADksUMq_MU1IRoaIAAtwmIrOzgTQAlIb1ACKq8GEAwaoAYAAABCAACIwQAA7EIAAODBAAC4wQAAJEIAAKxCAABAwAAAjsIAAFTCAADgQAAAWEIAAODBAAAQQQAAgL8AAODBAACyQgAAmEEAAEhCAADIwQAAEEEAAMBAAACGwgAAjEIAAMDAAABAQAAAOMIAAJhBAABAQgAAgEAAAATCAAAIQgAAwMEAAIC_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-AADIPQAA6D0AALg9AAAxPwAAED0AAHm_AABFvwAAdL4AAEC8AAABvwAAuL0AANo-AADovQAARL4AAAk_AAAEPgAAoj4AAEc_AABxPwAAPL4AALo-AACYvQAAQLwAAI6-AACoPQAAmL0AAIA7AADYPQAAFz8AALK-AAB0PgAAEL0AAOA8AACoPQAAiL0AAJq-AAATvwAA4DwAAJg9AADGvgAAiD0AAFC9AAAUvgAAZD4AAN4-AAABvwAAiL0AALq-AAAMvgAA4r4AACw-AACIPQAAyD0AAOg9AAB_PwAA_j4AACy-AAAMPgAAyL0AABE_AABQPQAAoLwgADgTQAlIfFABKo8CEAEagAIAAI6-AAA8PgAAyL0AABO_AABcvgAAgDsAAN4-AABAvAAARD4AAEA8AABAvAAAFL4AAJi9AADYvQAAcD0AAFA9AABQPQAA7j4AAHy-AADiPgAA6D0AABA9AABUvgAA-L0AAFC9AAC4vQAAML0AAAQ-AAA8vgAAUL0AAJg9AAAcPgAABL4AABC9AAA0PgAAoLwAAGw-AABUPgAAir4AAIg9AABEPgAARL4AAEA8AACAOwAAoLwAAOA8AAB_vwAAcD0AAEy-AADovQAA-D0AADQ-AADgvAAAuD0AADw-AAA8PgAAmL0AAOA8AAAsPgAAyD0AAFC9AAA8vgAAMD0AAHQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":320,"cheight":240,"cratio":1.33333,"dups":["12408381090660532403"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1091059764"},"9759879766147642875":{"videoId":"9759879766147642875","docid":"34-1-9-Z44CF934845C467A8","description":"#2023crew #aytmatematik #aytkamp Welcome to the Mustache Math AYT Math Camp. Our AYT Math Camp topics will be completed in a planned manner in 74 days. Once our AYT Math topic explanations are...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2828554/1b90757c0173b73d0c322b61f4529830/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/obvAMwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=videoid:9759879766147642875","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin AYT matematik sınavına hazırlık amacıyla sunduğu eğitim içeriğidir. Öğretmen, tahtada veya whiteboard üzerinde grafikler çizerek konuyu anlatmaktadır.","Videoda, mutlak değer fonksiyonlarının grafiklerinin nasıl çizileceği iki farklı yöntemle açıklanmaktadır: kısa yol olarak mutlak değer içeren fonksiyonların önce mutlak değer yok gibi çizilip, x ekseninin altında kalan kısımların katlanması yöntemi ve uzun yol olarak kritik noktaların bulunması ve parçalı fonksiyona dönüştürülmesi yöntemi. Öğretmen, bu yöntemleri çeşitli örneklerle pekiştirmekte ve AYT sınavında karşılaşılabilecek soru tiplerini ele almaktadır.","Video boyunca öğretmen, şıkları kullanarak soruların nasıl çözüleceğini göstermekte, kritik noktaları belirleme, parçalı fonksiyonlara dönüştürme ve grafik çizme adımlarını adım adım anlatmaktadır. Video sonunda öğrencilere Altın Kitap'tan Test 12 ve Test 13 ödevleri verilmektedir."]},"endTime":2755,"title":"AYT Matematik: Mutlak Değer Fonksiyonları ve Grafikleri","beginTime":0}],"fullResult":[{"index":0,"title":"Fonksiyon Grafikleri Konusuna Giriş","list":{"type":"unordered","items":["Fonksiyon uygulamalarının ikinci videosunda fonksiyon grafikleri çizilecek.","AYT matematiğinin en önemli konularından biri olan fonksiyon grafikleri, katlamalar, simetriler, ötelemeler, indirmeler ve kaldırmalar konularını içerecek.","İlk videoda mutlak değer fonksiyonunu parçalı fonksiyona dönüştürme işlemi yapılmıştı."]},"beginTime":0,"endTime":92,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=0&ask_summarization=1"},{"index":1,"title":"Mutlak Değer Fonksiyonlarının Grafiği","list":{"type":"unordered","items":["Mutlak değer fonksiyonlarının grafiği çizilirken fonksiyon kritik noktalarına göre parçalı fonksiyona dönüştürülür ve sonra parçalı fonksiyonun grafiği çizilir.","Mutlak değer fonksiyonlarının grafiğini çizmek için uzun yol ve kısa yol bulunmaktadır.","Kısa yolda, önce mutlak değer yok gibi fonksiyonun grafiğini çizip, x ekseninin altında kalan kısımları x eksenine göre simetri alarak yukarı katlanır."]},"beginTime":92,"endTime":298,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=92&ask_summarization=1"},{"index":2,"title":"Uzun Yolla Mutlak Değer Fonksiyonlarının Grafiği","list":{"type":"unordered","items":["Uzun yolda, önce kritik nokta bulunur (içeriği sıfır yapan değer).","Kritik noktaya göre fonksiyon parçalı fonksiyona dönüştürülür.","Her parçalı fonksiyon için ayrı ayrı grafik çizilir ve kritik noktada grafiğin nasıl değiştiğine dikkat edilir."]},"beginTime":298,"endTime":543,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=298&ask_summarization=1"},{"index":3,"title":"Parçalı Fonksiyonun Çözümü","list":{"type":"unordered","items":["Kritik nokta, mutlak değer içini sıfır yapan değerdir ve bu örnekte x=2'dir.","Fonksiyon parçalı olarak yazılır: x\u003c2 için f(x)=6, x>2 için f(x)=2x+2.","Kısa çözüm sadece içeride mutlak değer olan ve dışarıya komple mutlak değer koyulan fonksiyonlarda yapılabilir."]},"beginTime":544,"endTime":647,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=544&ask_summarization=1"},{"index":4,"title":"Grafiğin Çizimi","list":{"type":"unordered","items":["Kritik nokta x=2'dir ve bu noktada grafik değişecektir.","x\u003c2 için y=6 doğrusu çizilir ve bu doğrunun x=2 noktasında dolu nokta ile gösterilir.","x>2 için y=2x+2 doğrusu çizilir, x eksenini -1'de, y eksenini 2'de keser."]},"beginTime":647,"endTime":760,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=647&ask_summarization=1"},{"index":5,"title":"Grafiğin Özellikleri","list":{"type":"unordered","items":["Grafikte kopma yoktur, kritik noktada sol ve sağ taraftaki grafikler aynı noktada kesişir.","Kritik noktada sol ve sağ limitlerin eşit olması gerekir.","x>2 için grafiğin sağ tarafı yeşille gösterilir ve bu bölgenin içi dolu olur."]},"beginTime":760,"endTime":852,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=760&ask_summarization=1"},{"index":6,"title":"Fonksiyon Grafiği Sorusu Çözümü","list":{"type":"unordered","items":["Fonksiyonun grafiği sorusunda şıklardan gitmek için önce tüm şıkların incelenmesi ve aralarındaki farkların tespit edilmesi gerekiyor.","x=0 için tüm şıkların değerleri sıfır olduğu için bu değerle uğraşmaya gerek yok.","x=2 için f(2) hesaplanarak (2²-1)/2+1+1=2 olduğu tespit edildi ve bu değerle uyumlu olan şıklar (A, B, C) arasında seçim yapıldı."]},"beginTime":862,"endTime":1014,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=862&ask_summarization=1"},{"index":7,"title":"Parçalı Fonksiyona Dönüştürme Yöntemi","list":{"type":"unordered","items":["Şıkları kullanmadan çözüm için parçalı fonksiyona dönüştürme yöntemi kullanılabilir.","Kritik nokta, mutlak değer içini sıfır yapan noktadır ve bu örnekte x=0'dır.","x\u003c0 için fonksiyon y=-x, x>0 için fonksiyon y=x olarak parçalı fonksiyona dönüştürüldü."]},"beginTime":1014,"endTime":1245,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1014&ask_summarization=1"},{"index":8,"title":"İkinci Fonksiyon Grafiği Sorusu","list":{"type":"unordered","items":["İkinci fonksiyon grafiğinde paydasını sıfır yapan değerler x=0 ve x=3'tür.","Mutlak değerli ifadelerin kritik noktaları x=0 ve x=3'tür.","Grafiğin x=0 ve x=3 noktalarında değişim yapacağı tespit edildi ve bu özellik şıklarla karşılaştırıldı."]},"beginTime":1245,"endTime":1394,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1245&ask_summarization=1"},{"index":9,"title":"Fonksiyon Grafiği Sorusu Çözümü","list":{"type":"unordered","items":["Soruda A, C ve D şıklarının hangisinin doğru olduğunu belirlemek için fonksiyonun değerleri inceleniyor.","D şıkkında x=4 için sonuç 0 olarak verilmiş, ancak fonksiyonun gerçek değeri f(4)=2 olduğu için bu şık yanlış.","Kısa çözüm şıklar kullanılarak yapılmış, normal çözüm için kritik noktalar (x=1 ve x=3) bulunuyor."]},"beginTime":1397,"endTime":1468,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1397&ask_summarization=1"},{"index":10,"title":"Parçalı Fonksiyon Çözümü","list":{"type":"unordered","items":["Kritik noktalara göre grafik üç parçadan oluşacak ve x ekseninde bu noktalar işaretleniyor.","x\u003c0 aralığında fonksiyonun değeri -2, 0 ile 3 aralığında 0, x>3 aralığında 2 olarak hesaplanıyor.","Grafik çizilerek çözüm tamamlanıyor ve şıklardan gitmenin daha mantıklı olduğu belirtiliyor."]},"beginTime":1468,"endTime":1676,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1468&ask_summarization=1"},{"index":11,"title":"İkinci Fonksiyon Sorusu","list":{"type":"unordered","items":["İkinci soruda kritik nokta x=0 olarak bulunuyor ve mutlak değerli fonksiyon parçalı fonksiyona dönüştürülüyor.","x\u003c0 için fonksiyonun değeri -x²+1, x>0 için x²+1 olarak hesaplanıyor.","Grafikler çizilerek çözüm tamamlanıyor ve şıklardan giterek de doğru cevap bulunuyor."]},"beginTime":1676,"endTime":1860,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1676&ask_summarization=1"},{"index":12,"title":"Mutlak Değerli Fonksiyonların Parçalı Fonksiyona Dönüştürülmesi","list":{"type":"unordered","items":["Mutlak değerli fonksiyonların parçalı fonksiyona dönüştürülmesi için kritik noktalar incelenir.","Kritik nokta x=1 olan fonksiyonun grafiği x=1 doğrusunun üstünde değişir.","Fonksiyonun grafiği x=1'de değiştiği için cevap C şıkkı olarak bulunur."]},"beginTime":1862,"endTime":1926,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1862&ask_summarization=1"},{"index":13,"title":"Fonksiyon Değerlerinin Karşılaştırılması","list":{"type":"unordered","items":["Birden fazla kritik nokta varsa, x'e farklı değerler vererek fonksiyonun değerlerini karşılaştırabiliriz.","x=-2 gibi bir değer için fonksiyonun sonucu -3 olduğu için bazı şıklar elenir.","0 ile 1 arasında bir değer (1/2) verilerek cevap C olarak belirlenir."]},"beginTime":1926,"endTime":2060,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=1926&ask_summarization=1"},{"index":14,"title":"Parçalı Fonksiyonun Yazılması","list":{"type":"unordered","items":["Parçalı fonksiyon olarak yazıldığında, x\u003c1 için -x²-2x-1 ve x>1 için x²-1 şeklinde ifade edilir.","x\u003c1 için parabol grafiği, x>1 için x²-1'in grafiği çizilir."]},"beginTime":2060,"endTime":2154,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2060&ask_summarization=1"},{"index":15,"title":"Mutlak Değerli Fonksiyonların Grafiği","list":{"type":"unordered","items":["y=f(x)+|f(x)|/2 fonksiyonunun grafiği için kritik nokta f(x)=0 olduğu yerlerdir.","f(x)\u003c0 olduğunda sonuç 0, f(x)>0 olduğunda sonuç f(x) olur.","Verilen f(x) grafiğinin x ekseninin altında olduğu yerlerde sonuç 0, üstünde olduğu yerlerde f(x) ile aynıdır."]},"beginTime":2154,"endTime":2350,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2154&ask_summarization=1"},{"index":16,"title":"Mutlak Değerli Fonksiyonun Çözümü","list":{"type":"unordered","items":["G(x) fonksiyonunda mutlak değerli ifade, f(x) fonksiyonunun sıfırdan küçük olduğu yerlerde eksi f(x) olarak dışarı çıkar.","f(x) sıfırdan büyük olduğunda mutlak değerden f(x) aynen çıkar ve sonuç x olur.","G(x) fonksiyonu iki farklı grafikten oluşur: y = -x (ikinci açıortay doğrusu) ve y = x (birinci açıortay doğrusu)."]},"beginTime":2354,"endTime":2434,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2354&ask_summarization=1"},{"index":17,"title":"Grafiğin Çizimi","list":{"type":"unordered","items":["f(x) sıfırdan küçük olduğu -1 ile 3 aralığında, grafiğin y = -x kısmının -1 ile 3 arasındaki kısmı çizilir.","f(x) sıfırdan büyük olduğu 3'ün sağ tarafında ve -1'in sol tarafında, grafiğin y = x kısmının ilgili kısımları çizilir.","Paydayı sıfır yapan f(x) = 0 ile eşitlenen değerler (-1 ve 3) için grafiğin içi boş bırakılır."]},"beginTime":2434,"endTime":2588,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2434&ask_summarization=1"},{"index":18,"title":"Şıklardan Çözüm","list":{"type":"unordered","items":["Kritik noktalar -1 ve 3'tür ve bu noktalarda grafiğin değiştiği görülür.","Paydayı sıfır yapan değerler (-1 ve 3) için içleri boş olan şıklar seçilir.","Değer vererek (örneğin x = 4) fonksiyonun farklı şıklarda nasıl sonuç verdiğini kontrol ederek doğru cevap bulunur."]},"beginTime":2588,"endTime":2702,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2588&ask_summarization=1"},{"index":19,"title":"Ödev Bilgisi","list":{"type":"unordered","items":["Öğrencilere Altın Kitap'ın sayfa 32'deki test 12 ve test 13'ü çözmeleri ödev olarak verilir.","Test 12'yi birkaç video dinledikten sonra da çözebilirler."]},"beginTime":2702,"endTime":2754,"href":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=2702&ask_summarization=1"}],"linkTemplate":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Function Applications 2 | From Zero to Infinity AYT Math Camp | Day 18 | AYT Math Subject Descrip...","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=AMhYh2TwkqQ\",\"src\":\"serp\",\"rvb\":\"EqYDChI2NDE4MDA3ODE2MzY0OTQ5NzIKEzcwMTIzNTIwMTkxNTM4NTE1MjEKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEwNDA1NTUxNjY2Mzg5NTg3NzkwChQxMjQwODM4MTA5MDY2MDUzMjQwMwoTOTc1OTg3OTc2NjE0NzY0Mjg3NQoTMTUwNDk2NTQ5OTAxNTc4MzI3MQoUMTEwODM2MTI4NDMxNDc5ODYzNzcKETg2NTA1NDMxODU4Nzc4NjExChQxMDgyNTYzMjcwMzc2NzgxOTI2NQoTNDE2NzE4NzU5MzU4NTU0NzY4NgoUMTQ2MjU2MDE0NDA1ODc4MzkxODkKEzY0NzI3NDI3NzQ3ODgyMzYyMTEKEzU0NTA0OTEzMjIwMDYwMDg3NDgKETgxNDY2Njc1Nzg1MDQ0MDI2ChM0NzE2NDM4NDUyOTMxODQyNjgxChQxMzY3OTc5MzUyODIwNDY3NTEyMgoTNTAyNTE3NTI4MjE0NjE2OTcwMwoTODQ5Mzc1MTY3MTkwOTkxMzIwOQoUMTUwNDU5MDcyMzYxNDE2NzU5MzMaFQoTOTc1OTg3OTc2NjE0NzY0Mjg3NVoTOTc1OTg3OTc2NjE0NzY0Mjg3NWqIFxIBMBgAIkUaMQAKKmhoemV6dXdxbWJud2Z2dGNoaFVDeEhTTHhKY3VaOFNwRjV6Z0plUThDZxICABIqEMIPDxoPPxPDFYIEJAGABCsqiwEQARp4ge0E-_cD_AD8ABEFBwf8AgwA7gH1__8A2_cC-_n5AwD1Bf_2AQAAAAcG_foAAAAABAH5BvH9AQDwDfUHAwAAABMJ9_32AAAAAhbz9_8BAADq_wIJBAAAAAYBAP3_AAAA9hb2BP__AAD-CQMMAAAAAAQO9g0A_wAAIAAtnNXGOzgTQAlITlACKoQCEAAa8AF49_L-nQ_n_PTz5QAUI8kCgQot_0T18gDJEQT_twv-Ae0IBQDlFNH-DQgX_9YzMgC2CQYA2ePrAQDw-P_Q_xgAARwUATrHEQEzw_r_6fP7_5cfCP3wAQ4CGPHC_yAawgAU6Cr9KwbW_vDv9AUM8yP_EvYTBL4OF_7NFA4DADcKA-L11v3p6w8ICBMA-Kb-HQj1BQAEBw3hAAzZCgML_tICKxT8_RPZ9APoDvMG3-0hBBPW5_3QA-MECOYsCPzq3f0E1AP15s8NAzQKEPYxGPj8AxcECAnM-AH7EwEPBOb2-SoH_APbAx776wvpByPI-fQgAC1QIw07OBNACUhhUAIqzwcQABrABz5d3b7KnCM63naRvc5QDD4a8W69l1s1PfN3DrxiHDI9Xwh5vSCWwj0Koxm9EAaevMSXWb6MZmW89bolvcVVhT5UMG-9m38qvFkMaL0KYoU9UJqXvIS8Hr4FpL08lRWOPR6ZmLx4-IE980NbvH55fD0ZxbK8Fp48PCEX5ryrXv699FcCPAHeAj4s6h29aESEvGzL4L2-ypC9_DHSvFlXIL30zIG6YgmQvC9v6bwhqeg7YWaEvKTPXb1XlwO-hoEdvXMIsT1Avdm8hcOcPGQqs71BPjK8OsY6PNzHQL2zOM671tmavPGwmr1QFRW7xSLAui0dWD2Zcck8R3_cO4VjcbwsRXc9nqGLODDY7b1-EY49aFL1O-3xAr4BuUk9ps5IPJ8opD1G-kM9p6OtPPQ04D04k8A9dwJQPFe1BD6DDTS9Ed6DvJUQbL098zK9UhGCPOzdB7rpS6m62zG1vOCnJb3MYfe9wEMsu0C04DylqqQ8SG5NvAV_pruEsjW9uYOeOoz8lbwTXDG9QEQ0O82kdz2HZLK9bQhpvPMEIj3Ia4E5Ij-RvGMvnz0m_6M9uGI1vPNhC7wV8nc8bcvfu7Wpqr0LTN28QDyBPDX6hz0O_a6845mjuyGPAL7Ve7o9K4uhum4iqTyMpk49m1HWu3TVV71_E-k6XUUxu62AJ73j6rY9nsduuzlupzxQA6G9ENlVO2-AmT0G0xW8RFWGuxfeiz0imcA7tyiSu_A5yz34qjW9SpxTuvmn7zwzd-O8829Zu-GLwDwR_9C9ZAnCuIJHZbyh2ys9csMjObMIhT2k_ES9foADufVYZL2K-Fg9kpVtONoCMr7Fgze97zKKNwAPtj1O8l49T9QgONDhKz1fYic9Juy8ueWMkr2TuQO9432eubXLUr3w37w9TPLfuHlhRj3MA_08KQbgOJFCiT2i4zS8hpaSuMbgoT3BOBi9UulCuXUB7zzW9bU9PRDxuF3-A73l7xw8OBOvuHisI7yun349fQTTODHhgT0HHR692Fd3tUtshDuXBCM9gKTyuHBE1z1lhNy8jZgIuN7mjT2BXvi8R4g2OJ5AGD1h3LK8LTNUOPzxrDu1ChG8o3aauPYnAT5EUku9G2w4OJv5mr0uJiw9112XN8Kk2D02Kia9e7QtuawbT71wAGK9cfqiuP0naT1Nrli9hEKEN3YsYD3T9Jk9Jv1kt1NlTjx7XJW9XnW8t2pPGT6pbpk9CAIyt-rL0r2bHQm9hdvVN-9NWD3rqfU9Y4MeOGnsAb0MTeM8P2mTOCAAOBNACUhtUAEqcxAAGmAO9AA_BgYC0_Mg_RT87gC_vw7c8__8_-3vABD77f0HKAy9FesAK-EG5rgAAAAm9g8uKADsXN3v0w7kGf7J0-7-8n8MJQbD6kC_3-oZCAMSIgHIDQMA_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_AACYPQAAf78AANK-AAAwvQAAcD0AAJi9AAC4PQAAfD4AAJa-AADIPQAAFT8AANg9AAApPwAAVz8AAHc_AACyvgAALD4AAGQ-AAAwvQAAqL0AADQ-AAAwvQAAqj4AAFQ-AACWPgAAgLsAAKI-AACovQAAdD4AAJY-AACAuwAAfL4AANa-AAAsvgAApr4AAHw-AACIPQAAiL0AAHA9AAAsvgAAPD4AAIa-AABAvAAAHL4AAJ4-AAADvwAAlj4AAA0_AACYvQAAmD0AAHM_AAC-PgAAqL0AADC9AAAEPgAAnj4AABA9AAA0viAAOBNACUh8UAEqjwIQARqAAgAAqL0AALg9AACYPQAAEb8AAEA8AAAsPgAAZD4AAHQ-AABQvQAADD4AAOg9AABAvAAAgDsAAES-AACIvQAAED0AABS-AAA_PwAAFL4AAK4-AACIPQAAoLwAAJi9AABMvgAAQDwAAHy-AACIvQAAVD4AAPi9AACYvQAAED0AAOg9AAB8vgAAgLsAAGQ-AACGvgAAjj4AAJg9AADOvgAAuD0AAOA8AADuvgAAJL4AAFC9AACYPQAAUL0AAH-_AABwPQAAcL0AAEC8AABQvQAAgj4AADS-AAAwPQAAXD4AALg9AADIvQAAgDsAAKY-AACCPgAAED0AACy-AADYPQAAqD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=AMhYh2TwkqQ","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":2560,"cheight":1440,"cratio":1.77777,"dups":["9759879766147642875"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1633294647"},"1504965499015783271":{"videoId":"1504965499015783271","docid":"34-5-5-Z7AFF49B0A6333810","description":"#derivative #integral #aytcamp ayt math camp, derivative, definition of derivative, rules of differentiation, geometric interpretation of derivative, maximum-minimum problems, Mustache Math.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3238086/f0044d7f70933f271389842b553e13b2/564x318_1"},"target":"_self","position":"7","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNnbjE_GQ1hI","linkTemplate":"/video/preview/1504965499015783271?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Derivative 8 Composite Function Derivative | AYT Mathematics in 80 Days | AYT Mathematics Camp","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NnbjE_GQ1hI\",\"src\":\"serp\",\"rvb\":\"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-_n8BAD0CQ4JBAX9AQ7-BgL3AAAA_fL1-P4E_gAA_vP-BAAAAAD_AgT-AAAA_-71CP3-AAD__P8D-gAAAB8M_fn7AAAAAhT1-P8BAAD3-gUOBP8AABAN_f3_AAAA-gv4Av4AAAD5AAERAAAAAAIC_A0AAAAAIAAtiO_eOzgTQAlITlACKnMQABpgGQEATCED8dIB5_Di_c0c68P12P268P8BCwAILNLmBR_11gri_yzQGwG0AAAAGwT6B0wA6WTP6KouEv8Otd8H_jJ_-y0H5DYY59X1EO8X8vAU0xoPACPf3e8sG7o39TX_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-_AADavgAA4LwAAJi9AADyvgAARD4AADQ-AABcvgAA2D0AADw-AACAOwAALT8AAAM_AAB_PwAAuL0AAOI-AACYvQAAnr4AALi9AAAcPgAA-L0AAOC8AADgPAAAfD4AAEA8AAAkPgAAEL0AAKA8AAAkPgAAcD0AAGy-AACGvgAAnr4AAIK-AACGPgAAqj4AAOC8AAD4vQAAML0AAMg9AACOvgAAmL0AAAG_AABEPgAA2L0AADA9AAC6PgAAcL0AAHC9AABFPwAA1j4AAIA7AABcPgAAgLsAADA9AACAOwAAUL0gADgTQAlIfFABKo8CEAEagAIAAHy-AABUPgAA-D0AACG_AABwPQAAJD4AAGQ-AACIvQAAMD0AAIA7AAAwvQAAbL4AAIg9AACevgAAoDwAAKA8AACAuwAAOz8AABC9AACGPgAAcD0AABS-AABwPQAANL4AAIC7AAAQvQAAgDsAAOg9AAAsvgAA-L0AAKg9AADYPQAADL4AAIA7AADIPQAAJL4AAFA9AAAsPgAApr4AAKC8AAC4PQAAyL0AAGw-AADIvQAAuL0AAIC7AAB_vwAAUL0AAFC9AAAUPgAALD4AADA9AABAPAAAcD0AAGQ-AACAOwAAML0AABw-AABwvQAAmD0AAKA8AAA0vgAAqD0AANg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NnbjE_GQ1hI","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":2560,"cheight":1440,"cratio":1.77777,"dups":["1504965499015783271"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3410709007"},"11083612843147986377":{"videoId":"11083612843147986377","docid":"34-4-17-Z044440EBA6BACB2E","description":"What Primary 2 Mathematics topics will you learn on Practicle? https://practicle.sg/primary-2-math/ *🚀 WHAT IS Practicle? Practicle is an...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2000509/90724d48c0c43b97dbc05ffc16fe7a54/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/WAZ7ugEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFPFKtfDZxLk","linkTemplate":"/video/preview/11083612843147986377?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What Primary 2 Mathematics topics will you learn on Practicle? #shorts","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FPFKtfDZxLk\",\"src\":\"serp\",\"rvb\":\"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_ExWCBCQBgAQrKosBEAEaeIH6__z3Af8A_AARBQcH_AL5_fbx-P38AOUP_PgI_QEABgMHBAIBAAD6C_sDAgAAAPX7Cgz0_wEABQLsBwIAAAATBQb5-AAAABAA-wb-AQAA7voO-QIAAAAlAfwE_wAAAAIBAQH_9QP_BAUTBwAAAAAR_QoFAAAAACAALcszzjs4E0AJSE5QAiqEAhAAGvABeAwA_c4iBQAX6hQAgSMJ_5giDAB43rMAwRQE__ny8AGzA9cB6egwAAzt6v4G7QX_LfLp_2EbAQAlBjn_uVH5AAkDvwH7xwgD-wEYAe4PAv4h8QMAJSgGAd8C7wDV2y3-MhLPANvy8AHx4goAQNIWAtYHCwb6-0AEJRbeBRr3CwWu_u3-2SkY_gkO7_7z3DIF8wYABAfyK_sTJfT8DP7LAiHc_vxM2AP5S-A1CeQPDgr8EtYI9BsP__zS7gMLLCz3I9klAuQI6gjk3gYMPPTyBwa6B_IL6vMJNlL4DO-i7f4I9ePu3PADBPAZIggG8AAaIAAtO8DzOjgTQAlIYVACKs8HEAAawAd6UeO-b1EguoUyQzythSm-3X1pPZTphjrtftW9O-qDvOeUW7yj5gu-cG9IPH57zbz8jLu-WlMPvMbqxbuBsgk-7UcqvWnDIT0g1oa9Z0MjO9-ggj1P5dS9-vePPLrsIT1FZl4-nmB_vDi_Ab29unQ83txJPVg4yTw9DM29ehFSPZs8BDwYHCq9vk6KvQYOC7yKW0U-IBKpvf0ozzwcC3o-c1yXvITMX7zXUIq9hzIYvI14VzzVQ089XLQ7Pdok2Ltp_ig-i13TO0cLKzzJzOU9zB4yvHQ2rjtNNEM9jw-EvWX12Dy4pJQ9IIUGvTo9zruo3v88sy2uPZFDRLzMUEu9WMu9PR0Gzjy2QZc9yhaJvI4B2Tz_luA9_NC7vOc_vTp6tyM9FI6lPbkA9DzwpAU-euLWu-WCjrybnmG9HT3ePZaqvLptXgs9iU16PRBiITtWPpU8j7bgvBsNojunO2-9O2tcvO4O47uSHcC895ijvBXpWTxgrmU9mq83vJBl5rt9CdU9EaqzOupChzsBXxs8oKmyvELMJbx5-708KTf2vAmHnrzOeJE9G2savfXvQDssddq8wGR5PTAqKbzhIMa8aeU-PetHVLwW9W48MJAWvYFcYjtVdJq9m1R0Pdo-HjyLqcQ9JclYvWSBBLzcNiK9UahCPd3q2jvNYS09CkDtPKBCort1AZ-9wsbxO72fhbtSk0U9zvxqvDpm0buVjY096jeYvYVVbzrwOcs9-Ko1vUqcU7qOq3Y9lYxSPRFFo7jMEjg9T3l0vJakHTqq8Eq79H7tO5lkorpNLZs8iXAdPTg23Thu0wk9Zy5LPKGjvjYtpTg9zBnAvAfpjDnahra88BSyvKKX1bq8TLO9MhRBvNfZ7jjWI6i8B7BtvUNsnLnXO5I8hfpnPWhdaLi3RE49qXsDuXu3KLiT2N47A0xPvUZfBbjae6c9IGxnvDCCBLq7j6u6tQW6PGP4BTm-nhQ9SHHMu_i_nblyLBg8k4SJvc0HZDhmjYU9eoWavZXISjZz8ae9vmL0O609GrhFoUA8FV64PGl89LeMcwq9FuofPU_5ijhFy4u9d2ESvOjUO7bQYT68PlZVvS14RrhMkkI93ZgeunFMBzj3qKQ8qyDrvPFx3jaAR3G7Zsp9vTfcaDiK5gG9I9dyPMq-krc3zLa9-7KwO9ZyBjYkxEu8jqLYPMDtq7e8T0A7pkK8PPkEdrftDb68I8cMvfOkALcbd9Q80ydjPaU0oLgu-Nk8PFvRvF-EKDfiP_29Dt0svfam3bggADgTQAlIbVABKnMQABpgByAARSYM2RD9Qe7tBNcY8sk-xwIgKf9ECf8Q_s6k5QzSzPgc_zvhFP2jAAAAK93r8CYAwX8L3NI4BuoFr7IgDfF22wwBpRAkIewlGOYS4DkGxDMhANjTvDX0F_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_AACAPwAA2MEAANBBAADIwQAAgMEAAKTCAAB8QgAA2MEAACBBAAAEQgAA4EAAAMjBAAAUQgAAcEEAAODBAADgwAAARMIAAEDCAAAEQgAAFMIAABjCAAC4wQAAcEIAAGRCAACAPwAAksIAALjCAAC6wgAAmMEAAFRCAADAwQAACEIAAIjBAACYQgAAFMIAAMBBAACeQgAAEMEAANDBAAAAwQAAQEIAAIC_AAAcwgAAcEEAALjBAAAQwgAAVMIAANhBAADwwQAAAMAAAEDAAABEQgAA0MEAALjBAABEQgAAyEEAAAzCAABgQQAAIEEAABDBAADgwAAAqMEAACBCAABAwQAAcMIAAMzCAAA8QgAAwEEAAADCAABwwgAAsEEAAJBBAAA4QgAAKMIAAKhBAABsQgAAWEIAACxCAAAcwgAAhMIAAEBCAACgQgAAiMEAAJBCAAAQwQAAoMEAAIBAAABAwCAAOBNACUh1UAEqjwIQABqAAgAAmr4AAJi9AAAQvQAAXD4AACQ-AAAFPwAANL4AAF-_AADqvgAAoLwAAKg9AACyvgAAED0AAMo-AACYvQAAkr4AANo-AACAOwAAxj4AACU_AAB_PwAAHL4AAJI-AACIvQAAPL4AAKK-AADYPQAAUL0AAAQ-AABMPgAA4j4AAIi9AAB0vgAAgDsAAAQ-AACYPQAAgLsAAOg9AADyvgAALL4AACy-AACAuwAAyD0AAEC8AABAPAAAyL0AAJI-AAAJvwAAgLsAAMq-AAB0vgAAzr4AAIY-AAAEPgAA2D0AAOA8AABFPwAAij4AAFy-AAA8PgAAVL4AAII-AACgPAAAED0gADgTQAlIfFABKo8CEAEagAIAALi9AABAPAAAgr4AAC-_AACyvgAA-D0AAK4-AAAsPgAAFD4AAKi9AADIPQAAmL0AABS-AAAQPQAAUD0AAIg9AACYPQAAuj4AAEy-AAAHPwAAZD4AABw-AADYvQAAir4AABS-AACIPQAAyL0AAOg9AACGvgAA6D0AADw-AAC4PQAAHL4AAIC7AACCPgAAqL0AAKg9AAA8PgAAlr4AAKg9AACqPgAAEL0AADA9AAAMPgAAHL4AABA9AAB_vwAAFD4AADC9AACYvQAAqL0AALY-AAAEvgAAvj4AAMY-AABsPgAAqL0AAIi9AABEPgAAFL4AAFC9AADgvAAAJD4AAOg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=FPFKtfDZxLk","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1080,"cheight":1920,"cratio":0.5625,"dups":["11083612843147986377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1187615337"},"86505431858778611":{"videoId":"86505431858778611","docid":"34-4-11-Z682F85C137235B9D","description":"What P1 Math topics will you learn on Practicle? Practicle is a complementary Singapore math app that identifies and closes learning gaps for primary school kids. 👉 Find out more...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4478373/da5bc9df58790ad5a4742afe1e92f349/564x318_1"},"target":"_self","position":"9","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMVnnChMce84","linkTemplate":"/video/preview/86505431858778611?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"P1 Math topics | Practicle Math Singapore #shorts #maths #education","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MVnnChMce84\",\"src\":\"serp\",\"rvb\":\"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-AAo3aGhkY3ljbGNuYmR4dWJqY2hoaHR0cDovL3d3dy55b3V0dWJlLmNvbS9AUHJhY3RpY2xlTWF0aBICABIqD8IPDxoPPxMXggQkAYAEKyqLARABGniB-vf8-f8BAAP6Dg4GC_oCBgLy9ff__gDz_QH19QEAAAL7BPsDAQAADgjz_v0AAAAE-_wL__0BAAoFAAkEAAAAERL-9vwAAAAODPwD_gEAAPT3BwIDAAAAFAQSAgAAAAAEBf____8AAAEKDf8AAAAABf4LDQAAAAAgAC0rMtc7OBNACUhOUAIqcxAAGmDlFgAiMA4MwvIZ3N3x8x718jfWBO4OAA8FAAj28sf-BNTYGiT_EsQt4LoAAAAg8PL8JACoYQ7AvAUm3wm21AD_EX_gGQwBCgXdzPz45A77JgLA_wwA5PTPKA0D6y4EPSkgAC31wDo7OBNACUhvUAIqrwYQDBqgBgAAgL8AACRCAABcwgAANEIAAEzCAABcQgAA6MEAAIDCAADIQQAAmMIAADBCAABgQgAA2EEAAHTCAACYQQAAgD8AACBCAACQwQAAosIAAIDBAACgQAAAAEAAAILCAAAwQgAAuEEAAFBCAAAwwgAAiMIAAJBCAAAAAAAA8MEAAIhBAAD6wgAAgkIAAEjCAACYQQAA-MEAAM5CAAAAwAAA-MEAAAzCAACwQQAAjEIAAEBCAADAwQAALEIAAHDBAADQwQAAQMEAAIBAAAA4wgAATMIAAADAAAAAQAAAcEEAALBBAABAwgAAgMIAAIDBAACwQQAAMMEAADDBAABQwgAAcMIAAMhBAADGQgAAEEIAACRCAABIwgAAiEEAAEBAAAAAQAAAAEEAAKBBAABowgAAbMIAAPDBAACwQQAAPEIAAIA_AADIwQAAoEEAAGDBAACQQQAAcMEAACRCAADAwAAAiMEAAADCAAAQwQAAAEAAABBCAACSQgAAgMIAAFhCAAC6wgAAgD8AABhCAADgQAAAyEEAAHBBAABgQQAAwEEAAKDAAADAwgAAMMEAAGDBAABMwgAA8EEAAPDBAAC4QgAA2MEAABDCAAAMwgAAEMEAAIA_AABAQAAARMIAAGhCAAA4wgAAoEAAAOBAAACAQQAAQEAAAFRCAAAAQQAAcMEAAKDBAADwwQAAoMEAAK5CAACowQAABMIAABjCAACQQQAAoMAAAMhBAAA4wgAA4MEAAKLCAAAowgAAEEIAAKBAAABAQAAAEMEAAChCAACgwQAAaEIAAPhBAACQwQAAgMEAAIDBAABEQgAAFMIAADDCAABAwQAAUMEAACTCAAAgwgAAKEIAABTCAAAQQQAACMIAAJBBAAAUwgAAgMEAADBCAAAkwgAAmEEAACDBAAAswgAAAEEAAGDBAADwQQAAMEIAAFDBAACQwQAACMIAAPBBAABgQQAAwMAAAIDCAACUwgAAcEEAAHBCAAB0wgAAoMEAAKJCAAAowgAAMEEAADBCAACSwgAAoMEAAJDBAABgQQAA0EEAAGBBAABEwgAA-MEAAPjBIAA4E0AJSHVQASqPAhAAGoACAADevgAAgr4AAOA8AACgPAAAHD4AABU_AADovQAAV78AAKa-AABQvQAAUD0AANq-AADgvAAAdD4AAKC8AABkvgAA7j4AADC9AABcPgAAET8AAH8_AAAQPQAAVD4AAOi9AABsvgAAtr4AAFQ-AAAwvQAAdD4AAI4-AADGPgAAML0AAIK-AAAUPgAAyL0AADC9AABAPAAAiD0AAJa-AAD4vQAAXL4AAOi9AACSPgAAqD0AABA9AABAvAAAPD4AAMa-AADovQAAtr4AAAS-AABkvgAAoj4AADQ-AACgPAAAQDwAAHk_AAAcPgAA6L0AAHA9AAAEvgAAyj4AABA9AACOviAAOBNACUh8UAEqjwIQARqAAgAAMD0AAPg9AACAuwAAC78AAM6-AACYPQAA8j4AACQ-AAAsPgAA-L0AAPi9AAB0vgAAqL0AAFC9AAAwvQAAqD0AADA9AADOPgAAfL4AAN4-AAC6PgAAUL0AAJq-AABEvgAAuL0AANi9AAAMvgAADD4AAHS-AAAkPgAAFD4AABw-AAAEvgAAMD0AACQ-AACgPAAAxj4AAOg9AACuvgAA6D0AAM4-AADYvQAA2D0AAPg9AACgvAAA2D0AAH-_AABEPgAAmL0AAOi9AAC4PQAAmj4AANi9AADoPQAAoj4AAIY-AADIvQAAEL0AAEQ-AAAkPgAAoLwAAMi9AACIvQAAXD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=MVnnChMce84","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["86505431858778611"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10825632703767819265":{"videoId":"10825632703767819265","docid":"34-1-7-ZB29080180C3673A7","description":"This video was created as a brief overview for McGraw-Hill Math, Chapter 1, Lesson 1: Greatest Common Factor (GCF) and Least Common Multiple (LCM). It is my first attempt at recording with...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2783486/3ffa8b163baa7ad670a706840e05c361/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ioJQpAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1b13RHcAGDM","linkTemplate":"/video/preview/10825632703767819265?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Harrier Math, Greatest Common Factor (GCF) & Least Common Multiples","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1b13RHcAGDM\",\"src\":\"serp\",\"rvb\":\"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_E68EggQkAYAEKyqLARABGniB-wAB-v8CAPIBEAT6BP8B-_b9Bvr9_QD0CwMG_QL_AOIBCgD6_wAA_gjzB_wAAADvAPj_8AABABj8-QADAAAAA_73-PYAAAD9_f_z_wEAAATm_AED_wAAFAQSAgAAAAAL-wkF_v8AAAwGAQUAAAAA_AP_9_8AAAAgAC1ZJtc7OBNACUhOUAIqhAIQABrwAX8F-wL92QcC5eboAMcHDAG2Cxj_NxvkAI8LBwLDCv4B5gf1APYE4v8j7BT_EAok_-0E8P_n8hgANw7vAC4M4wD59BYAJvnyARb3EgEE9_IAIAv3__omFgAa6ekA_vT8_RQqIv3d9-cA_-nRAA7oDgIb_hsF_tkD_hYBHgHBGP7_G9_r_zAN3gHR_-QDCPUlA93NGALkDOcC2OsUAgf_9vz-_fL4-ODh_Bvj5ADy8wQEKPEHBfPf1f8DBif_1xv5Bg_5GQjq-PQI8foFChQC5wQcBf7_BBn-AP0d9gfq6BME-Qj7_twcDfza7vMF3eYBBCAALeDhKTs4E0AJSGFQAipzEAAaYEITACv7A8rgJkPExdBBKBIVDu_z9hD_HOH_DAPlnxnAuqAMNgD81P_doAAAACXg4gXpAON_LOi5MfXSDcLM4xv1b9EGNs_RSTrS0tbk2DTCT9VhJgAKIMASRgz8HjkBCiAALSfnEDs4E0AJSG9QAiqvBhAMGqAGAADAQAAAyMEAABhCAACAQQAAcMEAAGhCAAAIQgAAsMEAAIjBAABAwgAAUMEAAJhBAADgwAAAAEAAAFRCAACAvwAAwEAAAFjCAAA0QgAAUMIAAHDBAADowQAAJMIAAGBCAADoQQAAcEIAAHDBAAAcwgAA_kIAAHBCAADAwAAAAMEAAGDBAAAwwQAAqMIAAPBBAADQQQAAuEIAAKDAAACQQQAAiMEAALhBAABoQgAAYEEAAEBBAAA0QgAAgEEAAIhBAAAgQgAAuMEAADTCAAAAAAAAEMIAAMBAAAAwwQAAYMEAANhBAAAEwgAA4EAAAERCAABgwQAAOMIAABjCAAA8wgAAYEEAALjBAAAwwQAApMIAAJbCAABAQQAAJEIAAJBCAACQwQAAHEIAAIBAAACWwgAAuMIAAJBBAACIQQAAgsIAAFzCAADwQQAAAMIAAADAAAAQwQAAQEIAAPjBAAAgwQAAqkIAAETCAAAQQQAAIEEAAGDBAACwwQAAIEEAAHDCAAAQQgAAgL8AAKhBAAA8QgAAbMIAAIRCAADQQQAAsMEAALLCAAAwQgAAQMAAAPBBAAC4wQAApkIAAEBBAACiQgAABMIAACDBAACYQQAADEIAAGxCAACWwgAAyMEAAAzCAAAAwAAAREIAAFDBAABwwgAA4EAAABDCAACwwQAAAEEAALjBAACCwgAAPEIAAEDCAAAcQgAA6EEAABBBAADgwAAANEIAAAAAAABMwgAA8MIAAGhCAAAwQgAATEIAAPBBAACgQAAAFEIAAOBAAAAQwgAAAEEAAEDBAABAQQAAHMIAAARCAACwwQAAOMIAAI7CAADGwgAAMMEAAJhBAAAkQgAAQMEAAIjBAADAwAAAgMAAAEzCAACIwQAAwMEAAKBAAAAQQQAAoMEAAPDBAADAwAAALEIAAIhBAACIQQAAyEEAAABBAABwQQAA2MEAAGxCAABwwQAA6MEAADhCAAAgwQAAmEIAAGDBAACAwAAApEIAABBCAAAAwgAAMEEAAEDBAADIwQAAsMEAAEDAAACAvwAATMIAAIhBAABgQQAAmMEgADgTQAlIdVABKo8CEAAagAIAAOi9AAAkvgAAZD4AAHw-AABAvAAAFL4AAOA8AAD-vgAAZL4AADA9AACAOwAAMD0AADQ-AAB0PgAAEL0AAKC8AAC4PQAAVD4AAFA9AADmPgAAfz8AAGS-AAAEvgAAEL0AABQ-AAAcvgAAmD0AANi9AAAwPQAAfD4AAOg9AACgPAAABL4AAAw-AACaPgAAfD4AANg9AADIvQAArr4AADC9AABcvgAAfL4AAKi9AAAwPQAAoLwAADC9AAAUPgAAoLwAAEQ-AACoPQAAiD0AAFA9AABUPgAAyD0AAL6-AABwPQAAGT8AABQ-AAA0PgAAbD4AAIA7AAAwvQAA6D0AABy-IAA4E0AJSHxQASqPAhABGoACAAAEvgAATD4AAOi9AAANvwAAcL0AADA9AABwPQAAMD0AAFA9AACoPQAAjr4AAFy-AACgPAAA6L0AAGQ-AAAwvQAAoLwAAC0_AADgPAAA6j4AAJg9AAAUvgAA2D0AALi9AACAuwAAoLwAABy-AACAuwAAEL0AAIA7AABwvQAAUD0AAHA9AACAuwAA-D0AACS-AADIPQAAUL0AABy-AACAOwAAEL0AAEw-AAD4PQAAiL0AABC9AABwPQAAf78AAMi9AADYvQAAEL0AAKi9AAAwPQAAUL0AAK4-AADIPQAA6D0AAIC7AAAkvgAAQDwAAEQ-AABwPQAAcD0AABQ-AAAMviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=1b13RHcAGDM","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10825632703767819265"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"356588069"},"4167187593585547686":{"videoId":"4167187593585547686","docid":"34-8-6-Z7BE4449544739950","description":"(age 18 and older). * * Don’t forget guys, if you like this video please “Like” and “Share” it with your friends to show your support - it really helps me...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3444973/d508098dbf98f3a425f29a66ea3bc9ce/564x318_1"},"target":"_self","position":"12","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuwH0nDD-gZQ","linkTemplate":"/video/preview/4167187593585547686?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Finding Delta when Given Epsilon in a Limit Problem","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uwH0nDD-gZQ\",\"src\":\"serp\",\"rvb\":\"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_AQDr_AP9-gABAAwA-_r3AAAA8QII8gMBAADgDvgD__4AAPoI-hACAAAA-QQBAP__AAAUA_sGBAAAAAno9_z9AAAACAYJ__4BAAADAAD8AgAAAAcE7vX_AAAA-wEKAPr_AADvDPwFAAAAAAUGAfYAAAAAIAAtkCvXOzgTQAlITlACKnMQABpg-QwANg8O2PEmG9Ph9fgC_eoM8g-yFP8D2f_p9dXAAxvBpAno_z3ECwWoAAAAMu3d5AMA7HEhBM5OH8_oy9vjHfp_KA_vLTn676vlFhYn3ifgNjFaAMUL8RBFGLYbDRQXIAAthpchOzgTQAlIb1ACKq8GEAwaoAYAAJBBAABAwAAAwEAAAHDCAABgwQAAQMEAAKJCAAAAAAAAUEEAAGBBAABcQgAAQMEAAMjBAACIwQAABEIAAKBAAACgwAAAYMEAAAhCAAAUwgAAwMAAADTCAABgwQAAUEEAAADCAABgQQAA8MEAAKDBAABgQQAAUMEAAEDCAABgwgAAWMIAAChCAABgwQAAgEAAAADAAAC2QgAAgEAAACRCAAB4QgAAmEEAANJCAACQwQAAAEIAANrCAADQQQAAiEEAADhCAAA0QgAAqMEAAMBAAADYwQAA6EEAADBCAAAAQgAA-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-EEAAK7CAACIQQAAcMEAABRCAACEQgAApsIAAEzCAACIwQAAMMIAAJDBAAAAQgAAMMIAAIDAAABgwQAAoEEAALBBAAAIwgAAsEEAAKhBAABAwCAAOBNACUh1UAEqjwIQABqAAgAAJD4AAGy-AABEPgAAZL4AAAS-AABQPQAAiL0AADe_AAA0vgAAmL0AAMg9AAAEvgAALD4AACQ-AACivgAA-L0AAGQ-AACYPQAAgLsAAKo-AAB_PwAAND4AAAQ-AADIPQAAFL4AAAS-AACIPQAA2L0AAEy-AAC4vQAAZD4AAIq-AABQvQAAgDsAAIA7AADYvQAA-D0AABS-AADuvgAAjr4AAIK-AABcPgAAED0AANi9AACavgAAQDwAAIY-AAAQvQAAJD4AAPi9AACgvAAAEL0AAIg9AACGPgAAjr4AALi9AABHPwAAVD4AAIi9AACaPgAA4LwAAIC7AADIPQAAyL0gADgTQAlIfFABKo8CEAEagAIAAEA8AACgPAAAQDwAAEG_AAA8vgAAVD4AAJo-AACKPgAAQLwAACQ-AAAEPgAAiL0AAIC7AABAvAAA4DwAAEC8AAAwPQAAHz8AAJg9AAD2PgAAqL0AABy-AACAuwAALL4AAIC7AACYvQAA-D0AAKC8AABQPQAAuD0AAEC8AAAQvQAAFL4AAEC8AACoPQAAPL4AALi9AABAvAAAfL4AACw-AACgvAAAgDsAACQ-AAC4PQAAyL0AABA9AAB_vwAARD4AAKA8AADIPQAABL4AAHw-AADgPAAAHD4AAMg9AACoPQAAoLwAADC9AAAcPgAAyL0AAAQ-AAD4vQAAMD0AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=uwH0nDD-gZQ","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4167187593585547686"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14625601440587839189":{"videoId":"14625601440587839189","docid":"36-0-0-ZA05913FB807AAECA","description":"99% Don’t Know This Easy Fraction Addition Method Adding fractions is one of the topics that many students and even adults find confusing. Different denominators, multiple steps, and common...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1218797/87b5643f4c9f38087b8c17dd2f91c6650122_rt/564x318_1"},"target":"_self","position":"13","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DS5s-d8JcylM","linkTemplate":"/video/preview/14625601440587839189?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"99% Don’t Know This Easy Fraction Addition Method #mathtrick #maths #mathematica #mathematics","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=S5s-d8JcylM\",\"src\":\"serp\",\"rvb\":\"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_Ex6CBCQBgAQrKosBEAEaeIH2-_v7-wUAAgoKDQIK-wIA_Pb9-P79AP3y9fj-BP4A9PIHCgAAAAAC_e_--gAAAPv9_gb-_gAADAL4DwIAAAAOA_7__QAAABkQ_wD-AQAA__wJ_AMAAAAIBQQBAAAAAPv9Av39_wAA_QgIBAAAAAAGAgEAAAAAACAALVmR4js4E0AJSE5QAipzEAAaYPYIADQsEOeY7hTm7PzdA_PeONcIAwj_3h3_Jv_d2wr1sOAXI_8LyS3grgAAABsLCgFRALRw7c7DByS__MfmBQQQf_4X2vsq9uLM9gbn9SUZ_LgkLgAJ-uYtG_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-AADovQAAfD4AAAS-AABsPgAA4j4AACS-AABDvwAA7r4AABS-AADIPQAAVL4AANg9AACgPAAA4DwAADC9AAC4PQAAgLsAAJg9AAANPwAAfz8AALi9AABsPgAARD4AAEC8AAC4vQAAuD0AAFw-AAAsPgAAXD4AAKI-AADIvQAAiL0AAEA8AAAMPgAAZD4AAHA9AADIvQAAor4AAJ6-AABUvgAATL4AAIC7AAAMvgAAkr4AAOA8AADePgAA2r4AAPi9AAAHvwAALL4AABS-AAB0PgAADD4AAK6-AACgvAAAST8AAP4-AAA8PgAABD4AAEy-AAB0PgAAED0AAIC7IAA4E0AJSHxQASqPAhABGoACAAAkvgAAuD0AAFC9AAARvwAAir4AAKC8AACOPgAAyD0AAEQ-AACgvAAAyL0AADS-AAAwPQAAEL0AAHA9AAAwPQAA4DwAAB8_AAAMvgAA5j4AAAQ-AAAkvgAAFL4AADy-AAAQvQAAQDwAADA9AACIPQAAoDwAAAQ-AADgPAAABD4AAES-AAA8vgAAHD4AADA9AAAMPgAAdD4AAIK-AADgPAAATD4AAHC9AADoPQAAgLsAABA9AAAwPQAAf78AABA9AAAMvgAANL4AALg9AACYPQAAHL4AALg9AAC2PgAAND4AADC9AABAvAAAoDwAACQ-AAC4PQAAXL4AAIg9AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=S5s-d8JcylM","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["14625601440587839189"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"6472742774788236211":{"videoId":"6472742774788236211","docid":"36-5-0-Z040B6939AC10FDB8","description":"A Secret Division Method Schools Never Teach Division is one of the math topics that most people find confusing, slow, or frustrating. In school, division is often taught using long formulas and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1370165/2b117c1ffca6448f41c5fc70aeeea1320121_rt/564x318_1"},"target":"_self","position":"14","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRnxx6pKnqqw","linkTemplate":"/video/preview/6472742774788236211?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"A Secret Division Method Schools Never Teach #mathtrick #maths #mathematica #mathematics #education","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Rnxx6pKnqqw\",\"src\":\"serp\",\"rvb\":\"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-wQBAv4DAAQABQcBCPwCBgf4APf__wDz_QH19gEAAAD-AQMHAQAA_gf0B_wAAAAB9gEE9v0BAAQG-wf5AAAAFg4I_vYAAAAaEf8A_gEAAPX3BwIDAAAACgX9_AAAAAD3Agb2__8AAP4PBQAAAAAADhACB_8AAAAgAC2ddds7OBNACUhOUAIqcxAAGmDgCgAxKOz9txEr5djj5QER7CrdA9r5_90CACAS8uH5EcfZByv_DMYu5rgAAAAZCAgMNgDJYezI1R4e8AG56-T-K3_0E-ARMwD9yArs5fUPHeu7ETMAEArkMi8ZxEYQHR4gAC11GTY7OBNACUhvUAIqrwYQDBqgBgAAaEIAAABBAAA8QgAAmMEAAFjCAADAQAAAOEIAAKBBAAAAwAAAgMAAAIC_AADgQQAAJMIAAHDBAAAQQQAAsEEAACBCAAAwwgAAyEEAAATCAACAvwAAEEEAABTCAABYQgAACMIAAFBBAABgQQAAgMIAAADBAABAwQAAgMIAABDCAAB8wgAA-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-AAAQPQAAUD0AANI-AABMvgAAD78AAJa-AAB0vgAAcD0AAES-AACoPQAAZD4AANi9AABUvgAAnj4AAKC8AAD4PQAACT8AAH8_AACoPQAA-D0AANg9AABQvQAAZL4AAIg9AABQPQAAHD4AAGQ-AABkPgAAgDsAAFC9AAAQPQAAUD0AAAw-AAAcPgAABL4AAJa-AACYvQAANL4AAAS-AAAcPgAAQDwAAOC8AAAQPQAAlj4AADy-AAAMvgAAor4AAMi9AAAUvgAAdD4AAHQ-AADIvQAAgDsAADc_AACOPgAAoDwAABw-AABUvgAAij4AAKA8AABQPSAAOBNACUh8UAEqjwIQARqAAgAAuL0AAKA8AABAvAAAMb8AAIa-AACAuwAAzj4AAFA9AAAUPgAA-L0AAIi9AABkvgAAqL0AADy-AABQPQAAiD0AAJg9AAANPwAAyL0AAO4-AAD4PQAAUL0AAEy-AAA8vgAA4LwAAFC9AABwvQAAuD0AABS-AAAQPQAAiD0AAAw-AACgvAAAVL4AABw-AACAuwAABD4AAEQ-AACKvgAA6D0AAJY-AAC4vQAAMD0AAKC8AACYvQAAQLwAAH-_AADIvQAABL4AAMi9AAAMPgAAND4AAOi9AACgPAAAlj4AABw-AADIvQAAmD0AAFA9AABwPQAAqD0AAJi9AABAPAAABD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Rnxx6pKnqqw","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["6472742774788236211"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"5450491322006008748":{"videoId":"5450491322006008748","docid":"34-7-14-Z7CE43CC98C0B84AE","description":"The LGS 2024 Camp begins with 8th-grade math topic-by-topic questions. A general review of factors and multiples, explained by Ozan Alper, awaits you in this content. Attention, these questions...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3779187/0701e04f24992591ef225944d20ecb98/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/mniuPAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dys6pq1QUsHI","linkTemplate":"/video/preview/5450491322006008748?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Questions by Topic - 8th Grade Mathematics Question Solution - Factors and Multiples 2 - LGS 2024...","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ys6pq1QUsHI\",\"src\":\"serp\",\"rvb\":\"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_wUAAAD8ABAFBwf8AQYH-AD3__8A8AH_BfYBAAD8Av8E_wEAAAUO9AoFAAAA-v3-B_7-AAAADvMKAwAAAA8D_v_8AAAABgP2Af8BAADt8gT0AgAAABMEAf3_AAAA9vwT_P8AAAAAEv3_AQAAAAwGCPoAAAAAIAAtAAfVOzgTQAlITlACKoQCEAAa8AF_6A4At-vT_8D35v8OBOUA7BtE_ygp9QC68QsAux_uAN3-FQD5GeAACSXmAM4t_v_UEdoA29T9ASHB9v_lG_4B6h3yAT3t-wEy7SEAHvHjAZ4dCP7j8P0BKeHZAh4s5P8T6Sf9PQzEAhwWzAIk-y0B-AElBvsTBf7oBQIAxw0LAOT22f3r6_oF_ews-8T3BwUNKfL_9hr1-dcXAwT51vL_EQAI-BAqAwgBBOYD6CAIAcjn_gX1APP9_CQaChz_1wLc_wzz-NMh_yXxB_Ly8gz_CwHZ9gG1-AMN5vbz7_cI_woG5QHZD-8K9BIHAgoD7vkgAC3RQhc7OBNACUhhUAIqzwcQABrAB_Et5L4zxTc99UccvDXatT1NTzM8K8glvY2PAL2AzLg9FpIju_8j0z3BUl08mgucPPjBgb5_6Pi8RGlPPcVVhT5UMG-9m38qvIbjCb7fIPU8rAEqvRH8P75_YHg9EEQSvAmH_j19_Xo9OLgZvQu_qj0_Co280mnCPCtXw72dbF69-pQIvRgcKr2-Toq9Bg4LvBAXCr2-_6q8mQLjOuvgsD1_eIy8fBVPvGd3EDxXfnQ9MgfeO7-1g715ioE8WmkMu4TY2T3U9Z88d503OmQqs71BPjK8OsY6PMMmVzyP-3Y956JsOX2x171uUmw9aadmvOuZ1jtXb1w73hQgPVMJar1ENqA9mGdFOvYM_rvxhZQ9f8w9vCYMdL1dRrs9TCy6PLE4Fz0qCzU9wMvMvDBjqj2hkZk8JmmjPDdMiT2N_TY9yyrPuqoeRrqAgYA9VNNkPL9aWjx5F8k9w1ABvKetEDq5jLs9WmKKPKgUsL0mYya9SXsLvKhOjD1WEQ49tGx3PFOwhjyxJTW99kWhO4_gFj5beA6-A-cOvIABDj3uGJi9w3mdvFeu3Lv-Aos9EOdhPBWQVj2_Xpa93UPCuzHGMLsSpPK9WCvJullP7T3yIGK8J2I2vJxTCb5f-k09dEuju62BMr23VsU8_jD8u0KfvjxcMY09R3uTO4p9GL2R_zM9xaC8O8Ob97sVdYM6jZSQuwYCcLu7WSw7lX7Cu5cjnz37xny9A6wSOgnrErwRgXS9dWH_uoyhRzqWuTS9HArJuAX-Cz3iqWy8Oej5OCfAsDo1UA-9MiCdOCeI-r3apwQ8dfB4uZkunztMf8C9hpRWOGr2I7vvnae9YkjcuER1Cb1lrNG8XYQjufacbz29tcI8pq5qOFLvCb4HVAk8Z6l8uX8RWT1eTXk8lkCvNyOTfT3zKZa9my8tOS4xmz0jJYc8hwKNufKAjT3nkkU9-e2suUEjHT1JL-o95ELtuKBevz1t55Y8OpNJOQdcjD2rgSE9-8enOAgDL70Utqo9P-glN1OBCT3I6wG9NuldOCcDlj04-AK9qrxnN7mf-DyOIqu80B_LN6wJmL1IELY7BKbBN9YfvDwlNkS8wkIIOPinFD4D-k49H_TtNi6M9L2mWH88FIANuK2n9j2z6pi8ezs6uS6DG714KfW8WSWluNW5fTyMEx-9cXMwtb3OQT3bL-W78Mq3N7OXbTw3mLg7jP5kuCL_7D01KQU-835buAcLp7y9_O49g7QeufzqBb2GsLU8Wcpqt1_S2LxJqbq8keoLtyAAOBNACUhtUAEqcxAAGmAv7wAX8RbZCPP_BfjbBQ_d1wLdIdr-__n3AAEa6fQsKfnoAOoAHL753rkAAAAaAv0bDgAGWO_oAxcb9P3inP8Q-3_QJAzG8ybw_gIaDgcK_vzMCDgA9fauKRT4ryg_HUAgAC3RiUE7OBNACUhvUAIqrwYQDBqgBgAAsEEAAFjCAABkQgAAcEEAAADAAADAwAAAFEIAABTCAACYwQAA2MEAALhBAABEQgAA1MIAAJjBAACwQQAAgL8AAHDBAADAwQAAgMEAAOjBAAA0QgAAMMIAADTCAAAAwAAAqEEAANhBAABgwgAAAMEAAKBCAADOQgAAHMIAADBBAACwwQAAPEIAABDCAAAIQgAAQEEAAJZCAABAQAAAgMEAAJhBAADAQQAAHEIAAIBAAADgQAAAqMEAANDBAAAgwQAAQEIAADjCAAAAQAAA-MEAAJhBAAAYQgAAJEIAAKhBAABAQAAAQEEAAFBBAADwQQAAKEIAAAzCAAAUwgAAisIAADjCAADMQgAAaEIAAFDBAADowQAAyEEAAGBCAAAQQQAARMIAAJpCAABgwgAAWMIAAETCAAAQwQAARMIAAITCAABAwAAA8MEAAKDAAACEQgAASMIAAOBBAAD4wQAAIMIAABxCAACAPwAA0MEAANBBAABQwQAA8MEAAAAAAAAAwgAAwEAAAKhBAACOQgAAgEEAAIC_AABwQgAACEIAAEzCAADIwgAAgEEAAEBAAACowQAA6MEAAKBAAAAMQgAAAAAAABjCAAAAwgAApEIAAODAAAAAwQAAkMIAANjBAABEwgAAPMIAAFjCAAAAQgAAVMIAAExCAACeQgAAJEIAACDCAADQwQAAcMIAAEBBAAAYwgAAqEEAAEhCAABMQgAA-MEAAOjBAAAQQQAA6MEAANDBAACgQAAAgEEAAADBAADgwAAAYEEAAJhBAABgwQAAVEIAAKBAAADAwAAATEIAAMBAAADAQAAArsIAANBBAACgwQAAkEEAANzCAAAQQgAAzkIAAEDBAABAQAAAuMEAAEDAAAAAQAAAyMIAAExCAABAQQAAiEEAAMBAAACGwgAAoMAAAKjBAAAQQgAAJEIAADDBAADAwQAAEMIAAABCAAD4QQAAQMAAAMDBAAA8wgAAmsIAAABBAAAAwAAAaMIAAKZCAABgQQAAQMEAAHDBAADgQAAAWEIAADRCAADoQQAADEIAALjBAABwQQAAXMIAABDCIAA4E0AJSHVQASqPAhAAGoACAAAUPgAAlr4AAFC9AACgPAAAPL4AAAk_AACovQAAf78AAFA9AAAkvgAAoDwAAPi9AACIPQAAij4AAPK-AACgvAAAHD4AAPg9AABcPgAAUT8AADE_AADOvgAAUL0AAKC8AABwvQAAED0AAPg9AABQvQAA-L0AAIA7AACePgAA4DwAALi9AAAcPgAAoj4AADQ-AADIPQAA4DwAANa-AAD4vQAAEL0AABw-AAAwPQAABL4AAJi9AADgvAAAnj4AAIK-AAAMPgAAXL4AAFw-AABUvgAApj4AAKo-AACSvgAAgLsAADs_AABAPAAAuL0AAEw-AAC4PQAAgLsAAOA8AACYPSAAOBNACUh8UAEqjwIQARqAAgAAUD0AAIg9AAAkPgAAJb8AADC9AAAQvQAAhj4AAOC8AABkPgAAcD0AABA9AACgvAAAMD0AAFS-AABwPQAAmD0AAGS-AAAtPwAAoDwAALI-AABkPgAAjr4AABS-AAA8vgAAgDsAAKg9AAAQPQAAyD0AADy-AAAMPgAAgLsAAHA9AACgPAAAiL0AALg9AADgvAAA4LwAAKA8AACivgAA2D0AAI4-AABAPAAAqj4AABC9AACgvAAAHL4AAH-_AABwPQAAuD0AAIa-AABEvgAA2D0AAHC9AAAMvgAAoj4AABQ-AACYvQAATL4AAJi9AACoPQAAEL0AAIa-AAAsvgAATD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ys6pq1QUsHI","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5450491322006008748"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1631531963"},"81466675785044026":{"videoId":"81466675785044026","docid":"34-5-16-Z9EE87C9618C0B7E8","description":"this video Mathematics topics part 2 for alp ,technician & group d examination in railway from LCM & HCF (least common multiplier & most common factor). - - My channel Railway life alp...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4310296/08c7935bdcf10581fe95276b2679d78d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gGqCfQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZ11A-pPTswE","linkTemplate":"/video/preview/81466675785044026?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics topic P#02 | LCM & HCF for alp, technician & Group -d in railway","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Z11A-pPTswE\",\"src\":\"serp\",\"rvb\":\"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_E9kGggQkAYAEKyqLARABGniBBAj_BQAAAAP_BQENBv4BFP39APYBAQD-CQ0E-gX-AOrtCgAE_wAABwgF_QIAAADw9_AH-gAAABX7AgwDAAAAAwf3__oAAAAKDwMA_gEAAOv3Av8DAAAABwIF-P8AAADy_wgF-_8AAP4IAwwAAAAABgMBAAAAAAAgAC0AB9U7OBNACUhOUAIqhAIQABrwAX_f-gHZNu3_Su_VANwqxgGcBPQAShj0AbcO6wDG5fUAJyr6Adno5AHg9R4AGCwD_1zw5v8S4Bf_Idnx__3zJQC9Bg4BOe77AD4CFf_A_s796Pog_PnnEADoB9T-__wRAAAKGf3n_NwD8_vt_Q7mDgNC_BkB-fIVBPHqDAH0Ggn-0d_Q_PnmDQIA6fr-7BkYAPUC8fwBFAL65wTzATbZ7f797CIEAA_v-P_9-gPm_QL69Az-9wb28PsREQUB9Nz0DSgBDvr18fMH7R8JAxbkG_oA6wT6EuL6CQYP-fUK4gr88_H3CxQWAAXD7QIICQLv-SAALX-CITs4E0AJSGFQAipzEAAaYCQCAPfpKf394CbbI-XlGO3T78MPzfD_C9X_Kgvc0Q3-8aoOG_8bxArwogAAAE8I2vovALl_E-nFQBPPA9TaATw_WeFUEOr7EeyS5wroyMsrDt3dCgDw_KMaUcvxKAYqAyAALViLHjs4E0AJSG9QAiqvBhAMGqAGAAAUQgAAQEIAAHxCAABgwQAAwMEAAFjCAAAUQgAATMIAAJDBAADgQAAAAEIAANhBAADwwQAAKEIAAFBCAAA8wgAAdEIAADzCAAB8QgAAkEEAABBBAAAcwgAAlMIAACxCAABAQAAASMIAAMDAAAAUwgAA4MAAAADAAAC4QQAAIEIAAEjCAAAwQgAA0EEAAEDBAAAQQQAAjkIAAAhCAACgQAAAgD8AAFTCAAAQQQAAEMIAAKDBAAAswgAAgMAAACTCAADAwQAAMMEAAEDCAAAgQQAAoMEAAKhBAAA4QgAAaEIAAHjCAADQwQAArkIAAIxCAAD4QQAA2MEAAIjBAACQQgAASEIAAGhCAAAYQgAAcMEAALLCAAAAwQAAikIAAMRCAACoQQAA-EEAAMBAAACqwgAA8MEAAIBAAAAowgAA4EEAANDBAABAwAAAgMEAAMhBAABEwgAAMEEAAKBBAADgQAAA8EEAAFDCAACAvwAAqMEAAGDCAAC4wQAAQMEAAPjBAAAIwgAAEEEAAIhBAABAwQAAKEIAAPBBAADgwAAAFEIAAHjCAAA4QgAA6MEAAEBBAAAgQQAA4MEAAOBAAAA0wgAAJMIAAFDBAADQQQAAQEAAAMDAAABMwgAAoEAAAKDBAABQQQAAVMIAAFDBAADWwgAA2EEAALBBAAAAQAAAIMEAAMDAAABwwgAA4MAAAOjBAACIwQAAjkIAAGjCAAC0QgAAqEEAAEBBAACIQQAA4sIAAIpCAADQwQAAFMIAAFhCAADgwAAAMMEAAEBBAADQQQAAoEIAACRCAABkwgAAwMAAAIjBAABUwgAA4MAAADhCAAAQwgAAaMIAADTCAADQQQAADMIAALBBAACwwQAAQMAAAADAAADowQAAAEEAAABAAACowQAAgEEAACjCAAB4QgAAbMIAAMBAAAAUwgAAqMEAAFDCAACWwgAAyEEAAGBBAADgwAAAcMEAAATCAAD4QQAAlEIAADDBAACYwQAABEIAANjBAAAgQgAAYMEAAGBBAADIQQAAGEIAAIxCAADCQgAAHMIAAKDBAADQwQAAAEAgADgTQAlIdVABKo8CEAAagAIAAEy-AACAuwAAdD4AALg9AADYvQAAgDsAAMi9AAAZvwAAoLwAACQ-AACIPQAAEL0AACQ-AAA8PgAAqL0AAGS-AABwPQAAED0AAFw-AAAvPwAAfz8AAJi9AACgvAAAqL0AAFS-AACGvgAAbD4AAOi9AABcvgAAfD4AAJg9AABEPgAAoLwAAFA9AACAuwAAQDwAAAQ-AAC4PQAAJL4AABA9AADYvQAAuL0AAFQ-AADgvAAADL4AAIi9AACSPgAALL4AAPi9AACWvgAAEL0AAMg9AADiPgAAjj4AAOA8AAAQPQAAKT8AAKi9AACIPQAAMD0AAIi9AAAUPgAAUD0AAKA8IAA4E0AJSHxQASqPAhABGoACAADYvQAABD4AAOi9AAAnvwAAuL0AABw-AAAUPgAA2D0AABS-AADuPgAAoDwAAPi9AACIPQAADL4AANi9AACgvAAAEL0AAD0_AABQPQAAtj4AAEC8AAAwvQAAMD0AADC9AAAwvQAAcD0AABw-AAC4PQAAEL0AAKA8AACAuwAAcL0AAIC7AAA8vgAAZL4AAIK-AAAwvQAA2D0AACy-AACgPAAAgLsAAIA7AAA8PgAABL4AALg9AAC4PQAAf78AALi9AADgvAAADD4AAOg9AACYPQAAPD4AAEC8AAAMPgAAEL0AAOC8AAA0PgAA4DwAAOA8AAAUPgAAiD0AAFC9AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Z11A-pPTswE","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["81466675785044026"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2802330415"},"4716438452931842681":{"videoId":"4716438452931842681","docid":"36-7-0-ZFD4A698DA598A790","description":"📚✨ Your Math Relay continues to week 16!! 🏅 Day 112 of the Math Relay with the solution to day 111 question 📖 Last question on Quadratic Equations 😎 New topic from tomorrow: Quadratic Graphs...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1514600/9601f1f23bd68d352a8db62ee4d8b67a0123_rt/564x318_1"},"target":"_self","position":"17","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D4SZFl2UbVhs","linkTemplate":"/video/preview/4716438452931842681?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"DAY 112 Mathrelay challenge; Solution to yesterday's problem! Topic: Quadratic Equations","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=4SZFl2UbVhs\",\"src\":\"serp\",\"rvb\":\"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-AwE_wL-APf2AQr4B_4CEBQD-vUCAgDy_QH09QEAAPcJ-wH_AAAA-QTxCQcAAADv9u8I-gAAAP4E___bAP8AEwUG-fcAAAD-_wj4_gEAAATqAvQCAAAAAvYFBwAAAAD5BRMG_gAAAPoTCg4AAAAAAgL7DgAAAAAgAC0wmMo7OBNACUhOUAIqcxAAGmAeDwAtDRe5x_oJx9nhBCUK-f7e5vLy_xD9__QS69LmDtC09_j_PKQQ-KcAAAAj8NP5JQDEeAnq2jcn6_iSvw0BNH_6Ccb1Jtvipe8J2TkMT-fPEhUAzvvcDy8e5l4J7A8gAC0POh47OBNACUhvUAIqrwYQDBqgBgAAAMEAAKBBAABoQgAAKMIAACDBAACCQgAAWEIAAHjCAABQwgAAUMEAAARCAAAAwQAAgD8AANDBAABYQgAATEIAAIBBAACgQAAAKMIAAADCAABwwQAAIMEAABDCAAD-QgAABMIAALjBAACEwgAApMIAAGRCAABoQgAAsMIAAABBAAAkwgAAwEEAAIC_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_AAAYwgAAUMEAABDCAAAQQQAAVEIAABjCAAAAQAAAQMAAALhBAABAwAAA4EEAAEhCAACgQAAAEMIAAKDBAAAEQgAAQMEAAOjBAAAAwQAAisIAAGDBAACGwgAAREIAAEzCAAA8QgAAmMEAAJBBAADowQAAHMIAABBCAACgQAAAAEEAAIDBAACOwgAAmEEAABDCAAAcwgAAAMAAAOjBAAAwQQAAaMIAABhCAABAQAAASMIAAIjCAABAQAAAUMEAAGRCAABswgAAOMIAAIBCAACowgAAUEEAAETCAACSwgAAHEIAAIBBAACowQAAKEIAAABBAADAQAAA2MEAAMBAIAA4E0AJSHVQASqPAhAAGoACAABAvAAAgLsAAJg9AAAQPQAAND4AAFw-AACIPQAAQ78AAKa-AADYPQAAFD4AAHC9AABAvAAAXD4AADy-AAAUvgAAlj4AAHA9AABAvAAAyj4AAH8_AAAUPgAA6D0AAHA9AADgvAAA6L0AANg9AADovQAAND4AAFw-AABEPgAADD4AADy-AACIPQAA4DwAAKg9AABcPgAAJL4AAIq-AACmvgAA6L0AAEQ-AAD4PQAAmD0AAMi9AABAvAAAED0AAPi9AAAQvQAAor4AALg9AAC4PQAAVD4AAJo-AABAPAAAUL0AADM_AACgvAAAiD0AABC9AAAkvgAAVD4AABQ-AAAsviAAOBNACUh8UAEqjwIQARqAAgAALL4AAFC9AAAkPgAAI78AAPg9AAAQvQAAiD0AAEC8AACYvQAAgj4AAHC9AAAQvQAADD4AABC9AABwPQAAUL0AAOg9AAAzPwAAED0AAO4-AACovQAAyD0AAFC9AAD4vQAAcD0AAAy-AAAcPgAAED0AADA9AABcPgAAQDwAAOg9AABQvQAAoLwAAAQ-AACovQAA2D0AABQ-AACGvgAA2D0AAIC7AACovQAAyL0AAIC7AAAcvgAAUL0AAH-_AAAMPgAAPL4AAHC9AACAuwAAQLwAABA9AADYPQAA4DwAANg9AAAwPQAAmL0AAIg9AABAPAAA4LwAABy-AAAwPQAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=4SZFl2UbVhs","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["4716438452931842681"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"13679793528204675122":{"videoId":"13679793528204675122","docid":"36-2-0-Z12B403D0A75EE002","description":"math lessons...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1361652/3dc7df37d96efad1e671727025cf84390123_rt/564x318_1"},"target":"_self","position":"18","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DR0VTu8ReTF8","linkTemplate":"/video/preview/13679793528204675122?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"DAY 110 Mathrelay challenge; Solution to yesterday's problem! Topic: Quadratic Equations","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=R0VTu8ReTF8\",\"src\":\"serp\",\"rvb\":\"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_E4YBggQkAYAEKyqLARABGniBAQj6-QAAAPz5BggCB_wCCgn_9_YAAADq9QH8-f8BAP0K9gwDAQAA-QTxCQcAAADw9-8I-gAAAPwHAgDvAP8ADwP-__wAAAD-_wj4_gEAAATrAvQBAAAACPkC_P8AAAD5BRMG_gAAAPwCDQ8AAAAABgYDCv8AAAAgAC0IsdI7OBNACUhOUAIqcxAAGmATCgAqGguy1AsJ2tXoBR8V8_Py1N33_wwCAPYP4t35I8i-5vr_MbweA7QAAAAbItcNEwDFXQHq9DER8_DH8SD1Pn_8D7YPHtAMtAr54gMEI-3WGQoA2PMlBC4C5j4T3wYgAC15vTk7OBNACUhvUAIqrwYQDBqgBgAAAMEAACDBAABsQgAAtsIAAOBBAAAsQgAAlkIAANDBAAAwwQAAYEEAAAhCAADYwQAA-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-MEAAGBCAACGQgAA2EEAAMjBAABAwQAAPMIAAGBBAAD4wQAAeMIAAGDCAAAowgAAsEEAAFBBAABowgAAAMIAAIC_AADAwAAAFMIAAIDAAAAUwgAAmEEAAIhBAABAQAAAkMIAABBBAAAQQQAAMMEAAKBAAAD4wQAABMIAAHDBAAAwQQAAQMAAAADAAABQwQAAAMEAAABAAACgQAAAAMEAAPBBAAAQwQAABMIAANBBAACAQQAAoEAAAFDBAADowQAAKMIAAEzCAAC-wgAANEIAAKrCAACCQgAA4EEAAADCAAC4QQAAEMIAADRCAABIQgAAAAAAAIDAAABwwgAAUEEAABTCAAAowgAA0MEAADDCAACoQQAAHMIAAAxCAAC4QQAAMMIAAJDCAACAPwAAAEIAACRCAABswgAAIMEAALhBAAA8wgAA0MEAAIjBAAA8wgAAAEIAAIDAAAAQwQAA6EEAAKDAAAAoQgAAoMEAAMDBIAA4E0AJSHVQASqPAhAAGoACAACgPAAA6D0AANg9AAAMPgAA-D0AACQ-AACovQAAIb8AAGS-AAAkPgAAFD4AAIi9AACAOwAAZD4AAGy-AADYvQAAVD4AAOA8AABQPQAAsj4AAH8_AADoPQAAgDsAABw-AAAQvQAAuL0AAPg9AAAcvgAAZD4AAPg9AACYPQAAJD4AAAy-AAC4PQAAUD0AADA9AAAEPgAAHL4AAGS-AACmvgAAXL4AAAQ-AAAUPgAAmD0AABy-AAAcvgAAED0AANi9AACAOwAABL4AAFQ-AAAwPQAAZD4AAFw-AACYvQAAuL0AABE_AACgvAAAoDwAAKi9AAD4vQAAND4AACw-AABwvSAAOBNACUh8UAEqjwIQARqAAgAAyL0AAIi9AABUPgAAHb8AAKg9AAAQPQAAoLwAALg9AACovQAAdD4AAHC9AACIvQAAFD4AADC9AAAEPgAAiL0AAOA8AAA5PwAAQLwAAK4-AACYvQAAoDwAAEC8AADYvQAAqD0AALi9AAD4PQAAED0AAIg9AAA8PgAAML0AAJg9AABAvAAAoLwAABQ-AAAwvQAAmD0AAAw-AABkvgAAuD0AAKC8AADIvQAAcL0AAIA7AAAcvgAADL4AAH-_AABkPgAAiL0AADC9AADovQAAmL0AADA9AAC4PQAAmD0AAJg9AACIPQAAmL0AAOA8AADgPAAAgDsAAPi9AACoPQAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=R0VTu8ReTF8","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["13679793528204675122"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"5025175282146169703":{"videoId":"5025175282146169703","docid":"34-2-11-ZC338E14CBF0C4616","description":"This video is whispered for your relaxation & possibly trigger your ASMR. Relax, relax, relax as we take a look at polar coordinates and build some intuition behind how they are related to our...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/927963/461b0dcb1c0fffc2e10743a3bad577b1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RyJiqQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DEK5NJ20ul-s","linkTemplate":"/video/preview/5025175282146169703?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Whispered* Math ASMR | Pre-calculus | Introduction to Polar Coordinates","related_orig_text":"Hill Math - Topics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hill Math - Topics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=EK5NJ20ul-s\",\"src\":\"serp\",\"rvb\":\"EqYDChI2NDE4MDA3ODE2MzY0OTQ5NzIKEzcwMTIzNTIwMTkxNTM4NTE1MjEKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEwNDA1NTUxNjY2Mzg5NTg3NzkwChQxMjQwODM4MTA5MDY2MDUzMjQwMwoTOTc1OTg3OTc2NjE0NzY0Mjg3NQoTMTUwNDk2NTQ5OTAxNTc4MzI3MQoUMTEwODM2MTI4NDMxNDc5ODYzNzcKETg2NTA1NDMxODU4Nzc4NjExChQxMDgyNTYzMjcwMzc2NzgxOTI2NQoTNDE2NzE4NzU5MzU4NTU0NzY4NgoUMTQ2MjU2MDE0NDA1ODc4MzkxODkKEzY0NzI3NDI3NzQ3ODgyMzYyMTEKEzU0NTA0OTEzMjIwMDYwMDg3NDgKETgxNDY2Njc1Nzg1MDQ0MDI2ChM0NzE2NDM4NDUyOTMxODQyNjgxChQxMzY3OTc5MzUyODIwNDY3NTEyMgoTNTAyNTE3NTI4MjE0NjE2OTcwMwoTODQ5Mzc1MTY3MTkwOTkxMzIwOQoUMTUwNDU5MDcyMzYxNDE2NzU5MzMaFQoTNTAyNTE3NTI4MjE0NjE2OTcwM1oTNTAyNTE3NTI4MjE0NjE2OTcwM2q2DxIBMBgAIkUaMQAKKmhoendrdGprbGVoYWFxdGJoaFVDR2pTOXFrNGdjR2tuTW55U21QSTBPZxICABIqEMIPDxoPPxPjC4IEJAGABCsqiwEQARp4gfQMBvMF-gD0-AcKEAb7AREVBPr0AgIADQr-DQYC_wAO9QDuAwEAAPsC_vv-AAAA7_buCPoAAAAZ8-4AAQAAAAwACPz8AAAAAgz2B_4BAAD1__sOBP8AABX1EP3_AAAABQD3_v3_AAEC9QEUAAAAAAMJEPH_AAAAIAAtHI_BOzgTQAlITlACKoQCEAAa8AF_0_wAvwAk_iTr2QHnDtIBryP3AGE_3ACe5f7_7O_pARz33v8H-D8AHvRF_8oRKwDy9ez-xiQG_0P3Ff8M-OYBxP7wAfvY9gEwEeQBEAHg_9RB3_8k5zQC89etAP_f8f4s7Dn_Qw7eAfcQAP_xLuMCJxUQAtbS5AAB7BT-2CEX__bR7wLME-YGDz3V-vTgLQQCEPz6MBDuBeAHFv7oDAoG3vb9BvDg_AXk6fIE5iQJAi3cD_w4G-T5-_UP_Ag12vfx9P7z-L4E_9XpGf8b-RfzKtsF-SgzAPkEA-YTDNwM-xAh8f__8iEBBePl___Y9gwgAC2otgc7OBNACUhhUAIqcxAAGmAh9wBECiDayDZC79jL-yO9_yDr_-oe__rm_-fwBPQhCPXM-hr_G8UfBqYAAAAr4dQRDAD2dwPd7SbuxROB1QAsHUXsDAX7zQQLyOgI7gm7Qw7v_UkA6eGxCAIfATYxLjMgAC3-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-MEAAABBAAB0wgAAqMEAAIhBAACwwQAAdMIAAHhCAAAwQQAACMIAAKpCAAAQwgAAlsIAALDCAABgQQAAJEIAAHDBAACAvwAAAMAAAKhBAADwwQAA4EAAAMhBAADgwAAAYMEAACDCAAA0QgAAkMEAACDBAABAQAAAjsIAAGjCAAAIwgAA4EEAAIDBAABAwQAAcEEAAFhCAACwwgAADEIAAAxCAAD4QQAAgkIAAIA_AADAwAAAmMEAAIDBAADgQQAAFEIAAJDBAADgwQAAMMIAACTCAADYQQAA2MEAAFjCAAAwQQAAgD8AAKZCAACawgAAVMIAAJRCAAAAwQAAgMEAAIDBAADYwQAAgD8AABBBAAAcQgAAJEIAABBCAACAQQAA4MAAAODBIAA4E0AJSHVQASqPAhAAGoACAADKvgAAcL0AAAw-AACAOwAAqj4AANo-AABEPgAAVb8AALK-AAA8vgAAgDsAAAw-AAC4vQAAcD0AAAS-AACAOwAAzj4AAJg9AACgvAAAaz8AAD8_AAD4PQAAHD4AADC9AAAEPgAAdL4AABw-AAAcvgAA5j4AAPI-AACKPgAAgDsAAEC8AACIPQAAqD0AAKi9AAAEvgAARL4AAAS-AADIvQAAmL0AACy-AAAUPgAA6L0AAPi9AABcPgAAgDsAAA-_AAAcvgAAVL4AAEw-AAD4PQAABL4AACw-AABQvQAA2L0AAH8_AAAsPgAAEL0AALg9AAAwvQAAyD0AADC9AACCviAAOBNACUh8UAEqjwIQARqAAgAAiL0AAJg9AAAwPQAAR78AAHS-AADIvQAArj4AAES-AADovQAA4DwAAIA7AACOvgAAiL0AAIa-AAAUPgAAUL0AADA9AAAJPwAA4DwAAJY-AACovQAAyL0AACS-AADgPAAAQLwAAFy-AABEvgAA4LwAAJg9AACovQAAgDsAABQ-AACYvQAAdL4AAKg9AACoPQAAgj4AABw-AAA8vgAAgDsAADA9AACoPQAARL4AAJg9AAAQPQAAQLwAAH-_AACIvQAAoDwAAJg9AAC2PgAAcL0AAMg9AACgPAAALL4AAKg9AABQvQAAPD4AAOi9AABAvAAAbD4AAFw-AACoPQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=EK5NJ20ul-s","parent-reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5025175282146169703"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"625976647"}},"dups":{"641800781636494972":{"videoId":"641800781636494972","title":"McGraw-\u0007[Hill\u0007] \u0007[Math\u0007] Tutoring | MathHelp.com","cleanTitle":"McGraw-Hill Math Tutoring | MathHelp.com","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1pBPbeTkQ2E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1pBPbeTkQ2E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDX0x1UG5EOUQyekZZRjQ2dm04a1FuUQ==","name":"MathHelp.com","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathHelp.com","origUrl":"http://www.youtube.com/@yourteachermathhelp","a11yText":"MathHelp.com. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":86,"text":"1:26","a11yText":"Süre 1 dakika 26 saniye","shortText":"1 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"27 oca 2016","modifyTime":1453852800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1pBPbeTkQ2E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1pBPbeTkQ2E","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":86},"parentClipId":"641800781636494972","href":"/preview/641800781636494972?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/641800781636494972?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7012352019153851521":{"videoId":"7012352019153851521","title":"\u0007[Math\u0007]2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","cleanTitle":"Math2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lWnOLYeqeC4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lWnOLYeqeC4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDN3hnVDVkMThfRXJDbFdSUHIwaldIZw==","name":"Elizabeth Hill","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Elizabeth+Hill","origUrl":"http://www.youtube.com/@liz4makers","a11yText":"Elizabeth Hill. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1863,"text":"31:03","a11yText":"Süre 31 dakika 3 saniye","shortText":"31 dk."},"date":"23 mar 2020","modifyTime":1584921600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lWnOLYeqeC4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lWnOLYeqeC4","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":1863},"parentClipId":"7012352019153851521","href":"/preview/7012352019153851521?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/7012352019153851521?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1389943109375860163":{"videoId":"1389943109375860163","title":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","cleanTitle":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","host":{"title":"YouTube","href":"http://www.youtube.com/live/-un4xlWByH8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-un4xlWByH8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeEhTTHhKY3VaOFNwRjV6Z0plUThDZw==","name":"Bıyıklı Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=B%C4%B1y%C4%B1kl%C4%B1+Matematik","origUrl":"http://www.youtube.com/channel/UCxHSLxJcuZ8SpF5zgJeQ8Cg","a11yText":"Bıyıklı Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1366,"text":"22:46","a11yText":"Süre 22 dakika 46 saniye","shortText":"22 dk."},"views":{"text":"43bin","a11yText":"43 bin izleme"},"date":"18 oca 2021","modifyTime":1610928000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-un4xlWByH8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-un4xlWByH8","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":1366},"parentClipId":"1389943109375860163","href":"/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/1389943109375860163?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10405551666389587790":{"videoId":"10405551666389587790","title":"30-Day \u0007[Topic\u0007]-by-\u0007[Topic\u0007] \u0007[Math\u0007] Problem Solving Camp - Day 13: Identities and Factorization (...","cleanTitle":"30-Day Topic-by-Topic Math Problem Solving Camp - Day 13: Identities and Factorization (+PDF)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QeSssEuuDY8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QeSssEuuDY8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeFd0aUNaZmpIbU1Gdk0wVE1oQ2ZkZw==","name":"Görkem Hocayla Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?text=G%C3%B6rkem+Hocayla+Matematik","origUrl":"http://www.youtube.com/@GorkemHocaylaMatematik","a11yText":"Görkem Hocayla Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":880,"text":"14:40","a11yText":"Süre 14 dakika 40 saniye","shortText":"14 dk."},"date":"17 ara 2025","modifyTime":1765929600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QeSssEuuDY8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QeSssEuuDY8","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":880},"parentClipId":"10405551666389587790","href":"/preview/10405551666389587790?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/10405551666389587790?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12408381090660532403":{"videoId":"12408381090660532403","title":"\u0007[Math\u0007] \u0007[Topics\u0007] - MathHelp.com - 1000+ Online \u0007[Math\u0007] Lessons","cleanTitle":"Math Topics - MathHelp.com - 1000+ Online Math Lessons","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Fs_W1_Fom_s?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDX0x1UG5EOUQyekZZRjQ2dm04a1FuUQ==","name":"MathHelp.com","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathHelp.com","origUrl":"http://www.youtube.com/@yourteachermathhelp","a11yText":"MathHelp.com. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":109,"text":"1:49","a11yText":"Süre 1 dakika 49 saniye","shortText":"1 dk."},"views":{"text":"9,8bin","a11yText":"9,8 bin izleme"},"date":"30 eyl 2008","modifyTime":1222732800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Fs_W1_Fom_s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":109},"parentClipId":"12408381090660532403","href":"/preview/12408381090660532403?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/12408381090660532403?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9759879766147642875":{"videoId":"9759879766147642875","title":"Function Applications 2 | From Zero to Infinity AYT \u0007[Math\u0007] Camp | Day 18 | AYT \u0007[Math\u0007] Subject De...","cleanTitle":"Function Applications 2 | From Zero to Infinity AYT Math Camp | Day 18 | AYT Math Subject Descrip...","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=AMhYh2TwkqQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/AMhYh2TwkqQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeEhTTHhKY3VaOFNwRjV6Z0plUThDZw==","name":"Bıyıklı Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=B%C4%B1y%C4%B1kl%C4%B1+Matematik","origUrl":"http://www.youtube.com/@biyiklimatematik","a11yText":"Bıyıklı Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2755,"text":"45:55","a11yText":"Süre 45 dakika 55 saniye","shortText":"45 dk."},"views":{"text":"33bin","a11yText":"33 bin izleme"},"date":"28 eki 2022","modifyTime":1666945807000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/AMhYh2TwkqQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=AMhYh2TwkqQ","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":2755},"parentClipId":"9759879766147642875","href":"/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/9759879766147642875?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1504965499015783271":{"videoId":"1504965499015783271","title":"Derivative 8 Composite Function Derivative | AYT \u0007[Mathematics\u0007] in 80 Days | AYT \u0007[Mathematics\u0007] C...","cleanTitle":"Derivative 8 Composite Function Derivative | AYT Mathematics in 80 Days | AYT Mathematics Camp","host":{"title":"YouTube","href":"http://www.youtube.com/live/NnbjE_GQ1hI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NnbjE_GQ1hI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDeEhTTHhKY3VaOFNwRjV6Z0plUThDZw==","name":"Bıyıklı Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=B%C4%B1y%C4%B1kl%C4%B1+Matematik","origUrl":"http://www.youtube.com/@biyiklimatematik","a11yText":"Bıyıklı Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1764,"text":"29:24","a11yText":"Süre 29 dakika 24 saniye","shortText":"29 dk."},"views":{"text":"87,8bin","a11yText":"87,8 bin izleme"},"date":"10 oca 2024","modifyTime":1704879944000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NnbjE_GQ1hI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NnbjE_GQ1hI","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":1764},"parentClipId":"1504965499015783271","href":"/preview/1504965499015783271?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/1504965499015783271?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11083612843147986377":{"videoId":"11083612843147986377","title":"What Primary 2 \u0007[Mathematics\u0007] \u0007[topics\u0007] will you learn on Practicle? #shorts","cleanTitle":"What Primary 2 Mathematics topics will you learn on Practicle? #shorts","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FPFKtfDZxLk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FPFKtfDZxLk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFI3ZVhSQk5DSzloSlozMWtFUXROZw==","name":"Practicle Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Practicle+Math","origUrl":"http://www.youtube.com/@PracticleMath","a11yText":"Practicle Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":21,"text":"00:21","a11yText":"Süre 21 saniye","shortText":""},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"24 tem 2021","modifyTime":1627084800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FPFKtfDZxLk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FPFKtfDZxLk","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":21},"parentClipId":"11083612843147986377","href":"/preview/11083612843147986377?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/11083612843147986377?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"86505431858778611":{"videoId":"86505431858778611","title":"P1 \u0007[Math\u0007] \u0007[topics\u0007] | Practicle \u0007[Math\u0007] Singapore #shorts #\u0007[maths\u0007] #education","cleanTitle":"P1 Math topics | Practicle Math Singapore #shorts #maths #education","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/MVnnChMce84","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MVnnChMce84?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQFByYWN0aWNsZU1hdGg=","name":"Practicle Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Practicle+Math","origUrl":"http://www.youtube.com/@PracticleMath","a11yText":"Practicle Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":23,"text":"00:23","a11yText":"Süre 23 saniye","shortText":""},"date":"28 eki 2024","modifyTime":1730073600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MVnnChMce84?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MVnnChMce84","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":23},"parentClipId":"86505431858778611","href":"/preview/86505431858778611?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/86505431858778611?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10825632703767819265":{"videoId":"10825632703767819265","title":"Harrier \u0007[Math\u0007], Greatest Common Factor (GCF) & Least Common Multiples","cleanTitle":"Harrier Math, Greatest Common Factor (GCF) & Least Common Multiples","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1b13RHcAGDM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1b13RHcAGDM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDT254VU10VFNXMHZZc1pXS0RPY1VEQQ==","name":"miatine","isVerified":false,"subscribersCount":0,"url":"/video/search?text=miatine","origUrl":"https://www.youtube.com/channel/UCOnxUMtTSW0vYsZWKDOcUDA","a11yText":"miatine. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":559,"text":"9:19","a11yText":"Süre 9 dakika 19 saniye","shortText":"9 dk."},"date":"8 kas 2016","modifyTime":1478563200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1b13RHcAGDM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1b13RHcAGDM","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":559},"parentClipId":"10825632703767819265","href":"/preview/10825632703767819265?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/10825632703767819265?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4167187593585547686":{"videoId":"4167187593585547686","title":"Finding Delta when Given Epsilon in a Limit Problem","cleanTitle":"Finding Delta when Given Epsilon in a Limit Problem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uwH0nDD-gZQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uwH0nDD-gZQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDS2w3TVhMUnJrNmhuV3VPYkZ3S3hkZw==","name":"Cole's World of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Cole%27s+World+of+Mathematics","origUrl":"http://www.youtube.com/@ColesWorldofMathematics","a11yText":"Cole's World of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":198,"text":"3:18","a11yText":"Süre 3 dakika 18 saniye","shortText":"3 dk."},"views":{"text":"2,6bin","a11yText":"2,6 bin izleme"},"date":"25 ağu 2023","modifyTime":1692921600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uwH0nDD-gZQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uwH0nDD-gZQ","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":198},"parentClipId":"4167187593585547686","href":"/preview/4167187593585547686?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/4167187593585547686?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14625601440587839189":{"videoId":"14625601440587839189","title":"99% Don’t Know This Easy Fraction Addition Method #mathtrick #\u0007[maths\u0007] #mathematica #\u0007[mathematics\u0007...","cleanTitle":"99% Don’t Know This Easy Fraction Addition Method #mathtrick #maths #mathematica #mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/S5s-d8JcylM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/S5s-d8JcylM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDTDVlaFlJQVNSbnU3bm1ETHQxT0pZdw==","name":"MathIQ","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathIQ","origUrl":"http://www.youtube.com/@MathIQ77","a11yText":"MathIQ. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":30,"text":"00:30","a11yText":"Süre 30 saniye","shortText":""},"modifyTime":1769107343000,"freshBadge":"Dün","isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/S5s-d8JcylM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=S5s-d8JcylM","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":30},"parentClipId":"14625601440587839189","href":"/preview/14625601440587839189?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/14625601440587839189?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6472742774788236211":{"videoId":"6472742774788236211","title":"A Secret Division Method Schools Never Teach #mathtrick #\u0007[maths\u0007] #mathematica #\u0007[mathematics\u0007] #ed...","cleanTitle":"A Secret Division Method Schools Never Teach #mathtrick #maths #mathematica #mathematics #education","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/Rnxx6pKnqqw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Rnxx6pKnqqw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDTDVlaFlJQVNSbnU3bm1ETHQxT0pZdw==","name":"MathIQ","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathIQ","origUrl":"http://www.youtube.com/@MathIQ77","a11yText":"MathIQ. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":75,"text":"1:15","a11yText":"Süre 1 dakika 15 saniye","shortText":"1 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"modifyTime":1769016293000,"freshBadge":"Dün","isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Rnxx6pKnqqw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Rnxx6pKnqqw","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":75},"parentClipId":"6472742774788236211","href":"/preview/6472742774788236211?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/6472742774788236211?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5450491322006008748":{"videoId":"5450491322006008748","title":"Questions by \u0007[Topic\u0007] - 8th Grade \u0007[Mathematics\u0007] Question Solution - Factors and Multiples 2 - LGS...","cleanTitle":"Questions by Topic - 8th Grade Mathematics Question Solution - Factors and Multiples 2 - LGS 2024...","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ys6pq1QUsHI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ys6pq1QUsHI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWGVMLVoxUGZDUzVfMFJudFlKel9VQQ==","name":"Hız Yayınları Ortaokul","isVerified":false,"subscribersCount":0,"url":"/video/search?text=H%C4%B1z+Yay%C4%B1nlar%C4%B1+Ortaokul","origUrl":"http://www.youtube.com/c/H%C4%B1zYay%C4%B1nlar%C4%B1Ortaokul","a11yText":"Hız Yayınları Ortaokul. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":529,"text":"8:49","a11yText":"Süre 8 dakika 49 saniye","shortText":"8 dk."},"views":{"text":"10,7bin","a11yText":"10,7 bin izleme"},"date":"14 eki 2023","modifyTime":1697240534000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ys6pq1QUsHI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ys6pq1QUsHI","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":529},"parentClipId":"5450491322006008748","href":"/preview/5450491322006008748?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/5450491322006008748?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"81466675785044026":{"videoId":"81466675785044026","title":"\u0007[Mathematics\u0007] \u0007[topic\u0007] P#02 | LCM & HCF for alp, technician & Group -d in railway","cleanTitle":"Mathematics topic P#02 | LCM & HCF for alp, technician & Group -d in railway","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Z11A-pPTswE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Z11A-pPTswE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUVJpS29HZEdmWjE5Wkh6bTZXTjU2QQ==","name":"Railway Life","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Railway+Life","origUrl":"http://www.youtube.com/@railwaylife","a11yText":"Railway Life. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":857,"text":"14:17","a11yText":"Süre 14 dakika 17 saniye","shortText":"14 dk."},"date":"16 şub 2018","modifyTime":1518739200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Z11A-pPTswE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Z11A-pPTswE","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":857},"parentClipId":"81466675785044026","href":"/preview/81466675785044026?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/81466675785044026?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4716438452931842681":{"videoId":"4716438452931842681","title":"DAY 112 Mathrelay challenge; Solution to yesterday's problem! \u0007[Topic\u0007]: Quadratic Equations","cleanTitle":"DAY 112 Mathrelay challenge; Solution to yesterday's problem! Topic: Quadratic Equations","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/4SZFl2UbVhs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/4SZFl2UbVhs?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQEdhbml0aGlrYQ==","name":"Ganithika","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Ganithika","origUrl":"http://www.youtube.com/@Ganithika","a11yText":"Ganithika. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":108,"text":"1:48","a11yText":"Süre 1 dakika 48 saniye","shortText":"1 dk."},"date":"19 oca 2026","modifyTime":1768780800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/4SZFl2UbVhs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=4SZFl2UbVhs","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":108},"parentClipId":"4716438452931842681","href":"/preview/4716438452931842681?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/4716438452931842681?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13679793528204675122":{"videoId":"13679793528204675122","title":"DAY 110 Mathrelay challenge; Solution to yesterday's problem! \u0007[Topic\u0007]: Quadratic Equations","cleanTitle":"DAY 110 Mathrelay challenge; Solution to yesterday's problem! Topic: Quadratic Equations","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/R0VTu8ReTF8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/R0VTu8ReTF8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQEdhbml0aGlrYQ==","name":"Ganithika","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Ganithika","origUrl":"http://www.youtube.com/@Ganithika","a11yText":"Ganithika. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":134,"text":"2:14","a11yText":"Süre 2 dakika 14 saniye","shortText":"2 dk."},"date":"17 oca 2026","modifyTime":1768608000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/R0VTu8ReTF8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=R0VTu8ReTF8","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":134},"parentClipId":"13679793528204675122","href":"/preview/13679793528204675122?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/13679793528204675122?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5025175282146169703":{"videoId":"5025175282146169703","title":"Whispered* \u0007[Math\u0007] ASMR | Pre-calculus | Introduction to Polar Coordinates","cleanTitle":"Whispered* Math ASMR | Pre-calculus | Introduction to Polar Coordinates","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=EK5NJ20ul-s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/EK5NJ20ul-s?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR2pTOXFrNGdjR2tuTW55U21QSTBPZw==","name":"Decaf-Math ASMR","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Decaf-Math+ASMR","origUrl":"http://www.youtube.com/@DecafMathASMR","a11yText":"Decaf-Math ASMR. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1507,"text":"25:07","a11yText":"Süre 25 dakika 7 saniye","shortText":"25 dk."},"views":{"text":"4,8bin","a11yText":"4,8 bin izleme"},"date":"2 nis 2019","modifyTime":1554163200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/EK5NJ20ul-s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=EK5NJ20ul-s","reqid":"1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL","duration":1507},"parentClipId":"5025175282146169703","href":"/preview/5025175282146169703?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","rawHref":"/video/preview/5025175282146169703?parent-reqid=1769151411531360-17860930593160965248-balancer-l7leveler-kubr-yp-klg-20-BAL&text=Hill+Math+-+Topics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"7860930593160965248720","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Hill Math - Topics","queryUriEscaped":"Hill%20Math%20-%20Topics","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}