Страница 7, 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 7

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" => 2126234
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "7"
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/1-7"
    "field_display_title" => "7"
    "field_folder" => "1"
    "field_image_name" => "7"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1015
      #items: array:1 [
        0 => App\Models\Branch {#1014
          #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 [
            "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 {#1019
              #items: array:1 [
                0 => App\Models\Term {#1016
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Часть"
                      "field_creative_case" => "Частью"
                      "field_dative_case" => "Части"
                      "field_genitive_case" => "Части"
                      "field_nominative_case" => "Часть"
                      "field_prepositional_case" => "Части"
                    ]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #original: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Часть"
                      "field_creative_case" => "Частью"
                      "field_dative_case" => "Части"
                      "field_genitive_case" => "Части"
                      "field_nominative_case" => "Часть"
                      "field_prepositional_case" => "Части"
                    ]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #changes: []
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                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1053
              #items: array:1 [
                0 => App\Models\Book {#1018
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1020
                      #items: array:2 [
                        0 => App\Models\Term {#1017
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6471
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алгебра"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "алгебру"
                              "field_creative_case" => "алгеброй"
                              "field_dative_case" => "алгебре"
                              "field_genitive_case" => "алгебры"
                              "field_nominative_case" => "алгебра"
                              "field_prepositional_case" => "алгебре"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "algebra"
                          ]
                          #original: array:10 [
                            "id" => 6471
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алгебра"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
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                              "field_genitive_case" => "алгебры"
                              "field_nominative_case" => "алгебра"
                              "field_prepositional_case" => "алгебре"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "algebra"
                          ]
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                          #dispatchesEvents: []
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                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1021
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6484
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Математика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "математику"
                              "field_creative_case" => "математикой"
                              "field_dative_case" => "математике"
                              "field_genitive_case" => "математики"
                              "field_nominative_case" => "математика"
                              "field_prepositional_case" => "математике"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "matematika"
                          ]
                          #original: array:10 [
                            "id" => 6484
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Математика"
                            "field_abbreviated_name" => null
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                              "field_accusative_case" => "математику"
                              "field_creative_case" => "математикой"
                              "field_dative_case" => "математике"
                               …3
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "matematika"
                          ]
                          #changes: []
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                          #hidden: []
                          #visible: []
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1022
                      #items: array:1 [
                        0 => App\Models\Term {#1023
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "vosmoj"
                          ]
                          #original: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "vosmoj"
                          ]
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                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1024
                      #items: array:1 [
                        0 => App\Models\Term {#1025
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #original: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1026
                      #items: array:3 [
                        0 => App\Models\Term {#1027
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #attributes: array:12 [
                            "id" => 4766
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Лариса"
                            "field_patronymic" => "Борисовна"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 4766
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Лариса"
                            "field_patronymic" => "Борисовна"
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                          ]
                          #changes: []
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                          #dateFormat: null
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                            0 => "*"
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                        1 => App\Models\Term {#1028
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 5203
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Миндюк"
                            "field_bio" => null
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                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Нора"
                            "field_patronymic" => "Григорьевна"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5203
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Миндюк"
                            "field_bio" => null
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                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Нора"
                            "field_patronymic" => "Григорьевна"
                            "field_surname_rp" => null
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                          #hidden: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        2 => App\Models\Term {#1029
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #withCount: []
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Шлыкова"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Инга"
                            "field_patronymic" => "Соломоновна"
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                            "id" => 6352
                            "created_at" => "2026-04-10 13:58:26"
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1030
                      #items: []
                      #escapeWhenCastingToString: false
                    }
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                      #items: array:1 [
                        0 => App\Models\Term {#1032
                          #connection: "mysql"
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                            "id" => 6736
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "рабочая тетрадь"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [ …6]
                            "field_plural_form" => "рабочие тетради"
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                            "id" => 6736
                            "created_at" => "2026-04-10 13:58:26"
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                    "field_country" => Illuminate\Database\Eloquent\Collection {#1033
                      #items: array:1 [
                        0 => App\Models\Term {#1034
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
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                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
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                        0 => App\Models\Term {#1036
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                            "created_at" => "2026-04-10 13:58:26"
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                            "field_translit" => "moskva"
                          ]
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                            "created_at" => "2026-04-10 13:58:26"
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                    "field_series" => Illuminate\Database\Eloquent\Collection {#1037
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                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1038
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1039
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                        0 => App\Models\Term {#1040
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                          #table: "terms"
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                            "created_at" => "2026-04-10 13:58:26"
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                            "created_at" => "2026-04-10 13:58:26"
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                      ]
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                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1041
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                        0 => App\Models\Term {#1042
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                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "created_at" => "2026-04-10 13:58:26"
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                            "field_color" => "красный"
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                      ]
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                    }
                    "field_publication_number" => "13"
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                        0 => App\Models\Term {#1044
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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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"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1045
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                      #escapeWhenCastingToString: false
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                      ]
                      1 => array:4 [
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                    "field_popular_book" => "0"
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                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1047
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                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1048
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1049
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                        0 => App\Models\Term {#1050
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
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                            "created_at" => "2026-04-10 13:58:26"
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                            "name" => "белый"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "belyy"
                          ]
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_translit" => "belyy"
                          ]
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                    ]
                  ]
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1020}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1022}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1024}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1026}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1030}
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                      ]
                      1 => array:4 [
                        "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
                        "alt" => "часть 2"
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                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1046}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1047}
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                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1049}
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                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1051
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              #escapeWhenCastingToString: false
            }
          ]
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            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1019}
            "field_page_start" => "4"
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            "field_branch_title_in_content" => "0"
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1053}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1051}
          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1006
      #items: array:1 [
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      ]
      #escapeWhenCastingToString: false
    }
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    "field_metatags_description" => null
    "field_h1" => null
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007
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      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#5803
      #items: array:1 [
        0 => App\Models\BookPage {#5804
          #connection: "mysql"
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          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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          #attributes: array:21 [
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            "created_at" => "2026-04-10 13:58:26"
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            "field_display_title" => "8"
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            "field_image_name" => "8"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5810
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                0 => App\Models\Branch {#5910
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#5911 …2}
                    "field_page_start" => "4"
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                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
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                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#5912 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#5913 …2}
                  ]
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#5911 …2}
                    "field_page_start" => "4"
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                    "field_branch_title_in_content" => "0"
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                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#5912 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#5913 …2}
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5812
              #items: array:1 [
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              ]
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            }
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              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#5806
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
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              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "2126234"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#5807
              #items: array:2 [
                0 => App\Models\Task {#5876
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                1 => App\Models\Task {#5935
                  #connection: "mysql"
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                1 => App\Models\Task {#5893
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                2 => App\Models\Task {#5890
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            "field_folder" => "1"
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            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5799}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5800}
            "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 {#5801}
            "content" => Illuminate\Database\Eloquent\Collection {#5802}
            "next" => array:2 [
              "refs" => "2126234"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "2126232"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#5805}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009
      #items: array:4 [
        0 => App\Models\Task {#1061
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125647
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-10"
            "field_display_title" => "10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1065
              #items: array:1 [
                0 => App\Models\Term {#1062
                  #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 [
                    "id" => 26
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "номер"
                    "field_cases" => array:6 [ …6]
                    "field_short_name" => ""
                  ]
                  #original: array:6 [
                    "id" => 26
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "номер"
                    "field_cases" => array:6 [ …6]
                    "field_short_name" => ""
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #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 {#1064
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1063
              #items: array:1 [
                0 => App\Models\Branch {#1014}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:3 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119
                  #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 [
                    "id" => 2125373
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Рациональные дроби"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1122 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1121 …2}
                  ]
                  #original: array:24 [
                    "id" => 2125373
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Рациональные дроби"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1122 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1121 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Branch {#1124
                  #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 [
                    "id" => 2125377
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "1. Рациональное выражение"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125 …2}
                    "field_page_start" => "7"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1126 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                  ]
                  #original: array:24 [
                    "id" => 2125377
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "1. Рациональное выражение"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125 …2}
                    "field_page_start" => "7"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1126 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1112
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125648"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125646"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1066
              #items: array:1 [
                0 => App\Models\Book {#1018}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 2125647
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-10"
            "field_display_title" => "10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1065}
            "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 {#1064}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1063}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1105}
            "content" => Illuminate\Database\Eloquent\Collection {#1112}
            "next" => array:2 [
              "refs" => "2125648"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125646"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1066}
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1103
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125648
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-11"
            "field_display_title" => "11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:1 [
                0 => App\Models\Term {#1062}
              ]
              #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 {#1070
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1101
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:3 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
                2 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1100
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125649"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125647"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:1 [
                0 => App\Models\Book {#1018}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 2125648
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-11"
            "field_display_title" => "11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069}
            "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 {#1070}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1101}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102}
            "content" => Illuminate\Database\Eloquent\Collection {#1100}
            "next" => array:2 [
              "refs" => "2125649"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125647"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1099}
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1098
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125649
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-12"
            "field_display_title" => "12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1097
              #items: array:1 [
                0 => App\Models\Term {#1062}
              ]
              #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 {#1095
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1093
              #items: array:3 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
                2 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1094
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125650"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125648"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1091
              #items: array:1 [
                0 => App\Models\Book {#1018}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 2125649
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-12"
            "field_display_title" => "12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1097}
            "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 {#1095}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1093}
            "content" => Illuminate\Database\Eloquent\Collection {#1094}
            "next" => array:2 [
              "refs" => "2125650"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125648"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1091}
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1092
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125650
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-13"
            "field_display_title" => "13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1090
              #items: array:1 [
                0 => App\Models\Term {#1062}
              ]
              #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 {#1089
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1087
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1088
              #items: array:3 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
                2 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1085
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2125651"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125649"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1086
              #items: array:1 [
                0 => App\Models\Book {#1018}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 2125650
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_page_end" => null
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-13"
            "field_display_title" => "13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1090}
            "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 {#1089}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1087}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1088}
            "content" => Illuminate\Database\Eloquent\Collection {#1085}
            "next" => array:2 [
              "refs" => "2125651"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "2125649"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1086}
            "page" => array:2 [
              "refs" => "2126364"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 2126234
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "7"
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/1-7"
    "field_display_title" => "7"
    "field_folder" => "1"
    "field_image_name" => "7"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1015}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1006}
    "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 {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1008}
    "next" => array:2 [
      "refs" => "2126235"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "2126233"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
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