diff --git a/packages/babel-plugin-transform-runtime/src/definitions.js b/packages/babel-plugin-transform-runtime/src/definitions.js
index 38fe3fdb97..76b8067a38 100644
--- a/packages/babel-plugin-transform-runtime/src/definitions.js
+++ b/packages/babel-plugin-transform-runtime/src/definitions.js
@@ -70,10 +70,6 @@ module.exports = {
       values: "object/values"
     },
 
-    RegExp: {
-      escape: "regexp/escape"
-    },
-
     Math: {
       acosh: "math/acosh",
       asinh: "math/asinh",
@@ -91,7 +87,11 @@ module.exports = {
       sign: "math/sign",
       sinh: "math/sinh",
       tanh: "math/tanh",
-      trunc: "math/trunc"
+      trunc: "math/trunc",
+      iaddh: "math/iaddh",
+      isubh: "math/isubh",
+      imulh: "math/imulh",
+      umulh: "math/umulh"
     },
 
     Symbol: {
@@ -116,14 +116,16 @@ module.exports = {
       endsWith: "string/ends-with",
       fromCodePoint: "string/from-code-point",
       includes: "string/includes",
-      padLeft: "string/pad-left",
-      padRight: "string/pad-right",
+      padStart: "string/pad-start",
+      padEnd: "string/pad-end",
       raw: "string/raw",
       repeat: "string/repeat",
       startsWith: "string/starts-with",
       trim: "string/trim",
       trimLeft: "string/trim-left",
-      trimRight: "string/trim-right"
+      trimRight: "string/trim-right",
+      trimStart: "string/trim-left",
+      trimEnd: "string/trim-right"
     },
 
     Number: {
@@ -153,6 +155,14 @@ module.exports = {
       preventExtensions: "reflect/prevent-extensions",
       setPrototypeOf: "reflect/set-prototype-of",
       set: "reflect/set"
+    },
+
+    System: {
+      global: "system/global"
+    },
+
+    Error: {
+      isError: "error/is-error"
     }
   }
 };
diff --git a/packages/babel-polyfill/package.json b/packages/babel-polyfill/package.json
index 955aa00e17..478f4caaba 100644
--- a/packages/babel-polyfill/package.json
+++ b/packages/babel-polyfill/package.json
@@ -8,7 +8,7 @@
   "repository": "https://github.com/babel/babel/tree/master/packages/babel-polyfill",
   "main": "lib/index.js",
   "dependencies": {
-    "core-js": "^1.0.1",
+    "core-js": "^2.0.0",
     "babel-regenerator-runtime": "^6.3.13",
     "babel-runtime": "^5.0.0"
   }
diff --git a/packages/babel-runtime/package.json b/packages/babel-runtime/package.json
index 968a15a5e5..9a6c75016c 100644
--- a/packages/babel-runtime/package.json
+++ b/packages/babel-runtime/package.json
@@ -6,7 +6,7 @@
   "repository": "https://github.com/babel/babel/tree/master/packages/babel-runtime",
   "author": "Sebastian McKenzie <sebmck@gmail.com>",
   "dependencies": {
-    "core-js": "^1.2.0"
+    "core-js": "^2.0.0"
   },
   "devDependencies": {
     "babel-helpers": "^6.3.13",