diff --git a/packages/docusaurus-mdx-loader/package.json b/packages/docusaurus-mdx-loader/package.json
index 28af232370..2ab663463b 100644
--- a/packages/docusaurus-mdx-loader/package.json
+++ b/packages/docusaurus-mdx-loader/package.json
@@ -25,7 +25,6 @@
     "unist-util-visit": "^1.4.0"
   },
   "devDependencies": {
-    "@babel/polyfill": "^7.4.3",
     "remark": "^10.0.1",
     "remark-mdx": "^1.0.14",
     "to-vfile": "^5.0.2"
diff --git a/packages/docusaurus-mdx-loader/src/rightToc/__tests__/index.test.js b/packages/docusaurus-mdx-loader/src/rightToc/__tests__/index.test.js
index 4caf3bbe44..2587c0602d 100644
--- a/packages/docusaurus-mdx-loader/src/rightToc/__tests__/index.test.js
+++ b/packages/docusaurus-mdx-loader/src/rightToc/__tests__/index.test.js
@@ -5,7 +5,6 @@
  * LICENSE file in the root directory of this source tree.
  */
 
-import '@babel/polyfill';
 import {join} from 'path';
 import remark from 'remark';
 import mdx from 'remark-mdx';
diff --git a/packages/docusaurus-plugin-content-blog/package.json b/packages/docusaurus-plugin-content-blog/package.json
index 2bf60cd146..24e4c3e611 100644
--- a/packages/docusaurus-plugin-content-blog/package.json
+++ b/packages/docusaurus-plugin-content-blog/package.json
@@ -16,7 +16,7 @@
     "lodash": "^4.17.11"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0",
+    "@docusaurus/core": "^2.0.0-alpha.14",
     "react": "^16.8.4",
     "react-dom": "^16.8.4"
   },
diff --git a/packages/docusaurus-plugin-content-docs/package.json b/packages/docusaurus-plugin-content-docs/package.json
index 3ddd62b549..8c6f4fbef7 100644
--- a/packages/docusaurus-plugin-content-docs/package.json
+++ b/packages/docusaurus-plugin-content-docs/package.json
@@ -8,7 +8,6 @@
   },
   "license": "MIT",
   "dependencies": {
-    "@babel/polyfill": "^7.4.0",
     "@docusaurus/mdx-loader": "^2.0.0-alpha.14",
     "@docusaurus/utils": "^2.0.0-alpha.14",
     "fs-extra": "^7.0.1",
@@ -17,7 +16,7 @@
     "loader-utils": "^1.2.3"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0",
+    "@docusaurus/core": "^2.0.0-alpha.14",
     "react": "^16.8.4",
     "react-dom": "^16.8.4",
     "react-router-config": "^5.0.0"
diff --git a/packages/docusaurus-plugin-content-docs/src/__tests__/metadata.test.js b/packages/docusaurus-plugin-content-docs/src/__tests__/metadata.test.js
index 3469a04ffa..9de643d84c 100644
--- a/packages/docusaurus-plugin-content-docs/src/__tests__/metadata.test.js
+++ b/packages/docusaurus-plugin-content-docs/src/__tests__/metadata.test.js
@@ -5,7 +5,6 @@
  * LICENSE file in the root directory of this source tree.
  */
 
-import '@babel/polyfill';
 import path from 'path';
 import processMetadata from '../metadata';
 
diff --git a/packages/docusaurus-plugin-content-pages/package.json b/packages/docusaurus-plugin-content-pages/package.json
index a18ff0e932..af0d1f67b5 100644
--- a/packages/docusaurus-plugin-content-pages/package.json
+++ b/packages/docusaurus-plugin-content-pages/package.json
@@ -12,7 +12,7 @@
     "globby": "^9.1.0"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0",
+    "@docusaurus/core": "^2.0.0-alpha.14",
     "react": "^16.8.4",
     "react-dom": "^16.8.4"
   },
diff --git a/packages/docusaurus-plugin-sitemap/package.json b/packages/docusaurus-plugin-sitemap/package.json
index 49f73f3c2b..89ee31b26e 100644
--- a/packages/docusaurus-plugin-sitemap/package.json
+++ b/packages/docusaurus-plugin-sitemap/package.json
@@ -11,6 +11,6 @@
     "sitemap": "^2.1.0"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0"
+    "@docusaurus/core": "^2.0.0-alpha.14"
   }
 }
diff --git a/packages/docusaurus-preset-classic/package.json b/packages/docusaurus-preset-classic/package.json
index dac4814122..acdb908ad5 100644
--- a/packages/docusaurus-preset-classic/package.json
+++ b/packages/docusaurus-preset-classic/package.json
@@ -11,9 +11,11 @@
     "@docusaurus/plugin-content-blog": "^2.0.0-alpha.14",
     "@docusaurus/plugin-content-docs": "^2.0.0-alpha.14",
     "@docusaurus/plugin-content-pages": "^2.0.0-alpha.14",
-    "@docusaurus/plugin-sitemap": "^2.0.0-alpha.14"
+    "@docusaurus/plugin-sitemap": "^2.0.0-alpha.14",
+    "@docusaurus/theme-classic": "^2.0.0-alpha.14",
+    "@docusaurus/theme-search-algolia": "^2.0.0-alpha.14"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0"
+    "@docusaurus/core": "^2.0.0-alpha.14"
   }
 }
diff --git a/packages/docusaurus-theme-classic/package.json b/packages/docusaurus-theme-classic/package.json
index 98ab4868d5..e641940a36 100644
--- a/packages/docusaurus-theme-classic/package.json
+++ b/packages/docusaurus-theme-classic/package.json
@@ -11,7 +11,7 @@
     "docsearch.js": "^2.5.2"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0",
+    "@docusaurus/core": "^2.0.0-alpha.14",
     "react": "^16.8.4",
     "react-dom": "^16.8.4"
   },
diff --git a/packages/docusaurus-theme-search-algolia/package.json b/packages/docusaurus-theme-search-algolia/package.json
index 4ae9945a69..53473d972b 100644
--- a/packages/docusaurus-theme-search-algolia/package.json
+++ b/packages/docusaurus-theme-search-algolia/package.json
@@ -11,7 +11,7 @@
     "docsearch.js": "^2.6.3"
   },
   "peerDependencies": {
-    "@docusaurus/core": "^2.0.0",
+    "@docusaurus/core": "^2.0.0-alpha.14",
     "react": "^16.8.4",
     "react-dom": "^16.8.4"
   },
diff --git a/packages/docusaurus/package.json b/packages/docusaurus/package.json
index aa8ff4cdda..df4b8a0d3e 100644
--- a/packages/docusaurus/package.json
+++ b/packages/docusaurus/package.json
@@ -31,7 +31,6 @@
   "dependencies": {
     "@babel/core": "^7.4.0",
     "@babel/plugin-syntax-dynamic-import": "^7.2.0",
-    "@babel/polyfill": "^7.4.0",
     "@babel/preset-env": "^7.4.2",
     "@babel/preset-react": "^7.0.0",
     "@docusaurus/utils": "^2.0.0-alpha.14",
diff --git a/packages/docusaurus/src/server/load/__tests__/presets.test.js b/packages/docusaurus/src/server/load/__tests__/presets.test.js
index 52eeb45367..14fd9fddeb 100644
--- a/packages/docusaurus/src/server/load/__tests__/presets.test.js
+++ b/packages/docusaurus/src/server/load/__tests__/presets.test.js
@@ -5,7 +5,6 @@
  * LICENSE file in the root directory of this source tree.
  */
 
-import '@babel/polyfill';
 import path from 'path';
 
 import loadPresets from '../presets';
diff --git a/packages/docusaurus/src/server/load/loadSetup.js b/packages/docusaurus/src/server/load/loadSetup.js
index 98557130d6..8a1f556173 100644
--- a/packages/docusaurus/src/server/load/loadSetup.js
+++ b/packages/docusaurus/src/server/load/loadSetup.js
@@ -5,7 +5,6 @@
  * LICENSE file in the root directory of this source tree.
  */
 
-import '@babel/polyfill';
 import path from 'path';
 import load from '../index';
 
diff --git a/packages/docusaurus/src/webpack/__tests__/utils.test.js b/packages/docusaurus/src/webpack/__tests__/utils.test.js
index 81af06ac55..4ccf6dceb5 100644
--- a/packages/docusaurus/src/webpack/__tests__/utils.test.js
+++ b/packages/docusaurus/src/webpack/__tests__/utils.test.js
@@ -5,7 +5,6 @@
  * LICENSE file in the root directory of this source tree.
  */
 
-import '@babel/polyfill';
 import {validate} from 'webpack';
 import path from 'path';
 
diff --git a/yarn.lock b/yarn.lock
index de196c8fd5..ebe5ed9603 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -655,7 +655,7 @@
     "@babel/helper-regex" "^7.4.4"
     regexpu-core "^4.5.4"
 
-"@babel/polyfill@^7.0.0", "@babel/polyfill@^7.4.0", "@babel/polyfill@^7.4.3":
+"@babel/polyfill@^7.0.0":
   version "7.4.4"
   resolved "https://registry.yarnpkg.com/@babel/polyfill/-/polyfill-7.4.4.tgz#78801cf3dbe657844eeabf31c1cae3828051e893"
   integrity sha512-WlthFLfhQQhh+A2Gn5NSFl0Huxz36x86Jn+E9OW7ibK8edKPq+KLy4apM1yDpQ8kJOVi1OVjpP4vSDLdrI04dg==