Страница 82, часть 1 - гдз по алгебре 8 класс рабочая тетрадь Крайнева, Миндюк

Авторы: Крайнева Л. Б., Миндюк Н. Г., Шлыкова И. С.

Тип: рабочая тетрадь

Издательство: Просвещение

Уровень обучения: базовый

Часть: 1

Цвет обложки: белый

ISBN: 978-5-09-110334-2 (2024)

Часть 1. Cтраница 82

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 2126309
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/1-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1046
      #items: array:1 [
        0 => App\Models\Branch {#1008
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125372
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1007
              #items: array:1 [
                0 => App\Models\Term {#1006
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
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                    "id" => 31
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                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
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                  ]
                  #changes: []
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                    0 => "*"
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                }
              ]
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            }
            "field_page_start" => "4"
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            "book" => Illuminate\Database\Eloquent\Collection {#1009
              #items: array:1 [
                0 => App\Models\Book {#1010
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                    "field_city" => Illuminate\Database\Eloquent\Collection {#1027 …2}
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                  ]
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                    0 => "*"
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                }
                2 => App\Models\Term {#1056
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                  #attributes: array:12 [
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                    "created_at" => "2026-04-10 13:58:26"
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                  ]
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                    0 => "*"
                  ]
                }
              ]
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            }
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                0 => App\Models\Term {#1059
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                  #table: "terms"
                  #primaryKey: "id"
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                  +incrementing: false
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => "рабочие тетради"
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                }
              ]
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            "field_country" => Illuminate\Database\Eloquent\Collection {#1060
              #items: array:1 [
                0 => App\Models\Term {#1061
                  #connection: "mysql"
                  #table: "terms"
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                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
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              ]
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                    "created_at" => "2026-04-10 13:58:26"
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                  ]
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            }
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                    "created_at" => "2026-04-10 13:58:26"
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              ]
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                0 => App\Models\Term {#1069
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                    "created_at" => "2026-04-10 13:58:26"
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                }
              ]
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            "field_publication_number" => "13"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1070
              #items: array:1 [
                0 => App\Models\Term {#1071
                  #connection: "mysql"
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_cases" => array:6 [ …6]
                    "field_translit" => "pererabotannoe"
                  ]
                  #original: array:6 [
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                    "updated_at" => null
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                    "field_translit" => "pererabotannoe"
                  ]
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              ]
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            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1072
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            }
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            "field_part" => ""
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            "field_for_whom" => "Учебное пособие"
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            "field_tasks_count" => "587"
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              1 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
            ]
            "field_cover_alts" => array:2 [
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              ]
              1 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
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            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1073
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              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1074
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              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1075
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            }
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1076
              #items: array:1 [
                0 => App\Models\Term {#1077
                  #connection: "mysql"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_translit" => "belyy"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                  ]
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            ]
          ]
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1047}
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            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1057}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1058}
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              1 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
            ]
            "field_cover_alts" => array:2 [
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            ]
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              ]
              1 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
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              ]
            ]
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            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
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          ]
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      ]
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    "field_metatags_title" => null
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1078
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      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1079
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      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#4985
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        0 => App\Models\BookPage {#4983
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          #attributes: array:21 [
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_display_title" => "83"
            "field_folder" => "1"
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            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4986
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                0 => App\Models\Branch {#1008}
              ]
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
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                0 => App\Models\Book {#1044}
              ]
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            }
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4988
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            }
            "content" => Illuminate\Database\Eloquent\Collection {#4989
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2126311"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "2126309"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#5331
              #items: array:3 [
                0 => App\Models\Task {#4990
                  #connection: "mysql"
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                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/16-6"
                    "field_display_title" => "6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4916 …2}
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                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_description_bottom" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4918 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4919 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4958 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4980 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4981 …2}
                    "page" => array:2 [ …2]
                  ]
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                    "id" => 2125849
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/16-6"
                    "field_display_title" => "6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4916 …2}
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                    "field_metatags_description" => null
                    "field_h1" => null
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                    "breadcrumbs" => []
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              ]
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            "field_display_title" => "81"
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            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4710}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4711}
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            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4712}
            "content" => Illuminate\Database\Eloquent\Collection {#4713}
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              "type" => "book_page"
            ]
            "previous" => array:2 [
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            "tasks" => Illuminate\Database\Eloquent\Collection {#4982}
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          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1283
      #items: array:2 [
        0 => App\Models\Task {#1081
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #perPage: 15
          +exists: true
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          #attributes: array:24 [
            "id" => 2125850
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_display_title" => "7"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1083
              #items: array:1 [
                0 => App\Models\Term {#1082
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                }
              ]
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            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1084
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1085
              #items: array:1 [
                0 => App\Models\Branch {#1086
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1124
              #items: array:3 [
                0 => App\Models\Branch {#1086}
                1 => App\Models\Branch {#1125
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1134
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1180
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125851"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125849"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1181
              #items: array:1 [
                0 => App\Models\Book {#1090
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:50 [ …50]
                  #original: array:50 [ …50]
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                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
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            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/16-7"
            "field_display_title" => "7"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1083}
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1084}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1085}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1124}
            "content" => Illuminate\Database\Eloquent\Collection {#1180}
            "next" => array:2 [
              "refs" => "2125851"
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            ]
            "previous" => array:2 [
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              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1181}
            "page" => array:2 [
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              "type" => "book_page"
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          ]
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          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1182
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125851
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/16-8"
            "field_display_title" => "8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:1 [
                0 => App\Models\Term {#1184
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1185
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:1 [
                0 => App\Models\Branch {#1187
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1225
              #items: array:3 [
                0 => App\Models\Branch {#1226
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1230
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
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                  #original: array:24 [ …24]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1235
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1281
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125852"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125850"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1282
              #items: array:1 [
                0 => App\Models\Book {#1191
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
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                  #original: array:50 [ …50]
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                  #attributeCastCache: []
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "2126439"
              "type" => "book_page"
            ]
          ]
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            "id" => 2125851
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/16-8"
            "field_display_title" => "8"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1183}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1185}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1186}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1225}
            "content" => Illuminate\Database\Eloquent\Collection {#1281}
            "next" => array:2 [
              "refs" => "2125852"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125850"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1282}
            "page" => array:2 [
              "refs" => "2126439"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          +timestamps: true
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          #hidden: []
          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 2126309
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/1-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1046}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1080}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1078}
    "content" => Illuminate\Database\Eloquent\Collection {#1079}
    "next" => array:2 [
      "refs" => "2126310"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "2126308"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1283}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
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  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
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