diff --git a/src/liballoc/allocator.rs b/src/liballoc/allocator.rs
index 5a9cd82b9d119..3a2022ad429f7 100644
--- a/src/liballoc/allocator.rs
+++ b/src/liballoc/allocator.rs
@@ -70,7 +70,7 @@ impl Layout {
     ///
     /// * `align` must be a power of two,
     ///
-    /// * `align` must not exceed 2^31 (i.e. `1 << 31`),
+    /// * `align` must not exceed 2<sup>31</sup> (i.e. `1 << 31`),
     ///
     /// * `size`, when rounded up to the nearest multiple of `align`,
     ///    must not overflow (i.e. the rounded value must be less than
@@ -113,7 +113,7 @@ impl Layout {
     /// # Safety
     ///
     /// This function is unsafe as it does not verify that `align` is
-    /// a power-of-two that is also less than or equal to 2^31, nor
+    /// a power-of-two that is also less than or equal to 2<sup>31</sup>, nor
     /// that `size` aligned to `align` fits within the address space
     /// (i.e. the `Layout::from_size_align` preconditions).
     #[inline]
@@ -227,7 +227,7 @@ impl Layout {
         };
 
         // We can assume that `self.align` is a power-of-two that does
-        // not exceed 2^31. Furthermore, `alloc_size` has already been
+        // not exceed 2<sup>31</sup>. Furthermore, `alloc_size` has already been
         // rounded up to a multiple of `self.align`; therefore, the
         // call to `Layout::from_size_align` below should never panic.
         Some((Layout::from_size_align(alloc_size, self.align).unwrap(), padded_size))
diff --git a/src/liballoc/fmt.rs b/src/liballoc/fmt.rs
index 578d90c5ba9bb..58299d5d8361e 100644
--- a/src/liballoc/fmt.rs
+++ b/src/liballoc/fmt.rs
@@ -475,7 +475,6 @@
 //! them with the same character. For example, the `{` character is escaped with
 //! `{{` and the `}` character is escaped with `}}`.
 //!
-//! [`format!`]: ../../macro.format.html
 //! [`usize`]: ../../std/primitive.usize.html
 //! [`isize`]: ../../std/primitive.isize.html
 //! [`i8`]: ../../std/primitive.i8.html
diff --git a/src/libcore/hash/sip.rs b/src/libcore/hash/sip.rs
index d82de082da6d0..4e4d9b3f1e2f0 100644
--- a/src/libcore/hash/sip.rs
+++ b/src/libcore/hash/sip.rs
@@ -22,7 +22,7 @@ use mem;
 /// This is currently the default hashing function used by standard library
 /// (eg. `collections::HashMap` uses it by default).
 ///
-/// See: https://131002.net/siphash/
+/// See: <https://131002.net/siphash>
 #[unstable(feature = "sip_hash_13", issue = "34767")]
 #[rustc_deprecated(since = "1.13.0",
                    reason = "use `std::collections::hash_map::DefaultHasher` instead")]
@@ -33,7 +33,7 @@ pub struct SipHasher13 {
 
 /// An implementation of SipHash 2-4.
 ///
-/// See: https://131002.net/siphash/
+/// See: <https://131002.net/siphash/>
 #[unstable(feature = "sip_hash_13", issue = "34767")]
 #[rustc_deprecated(since = "1.13.0",
                    reason = "use `std::collections::hash_map::DefaultHasher` instead")]
@@ -44,7 +44,7 @@ pub struct SipHasher24 {
 
 /// An implementation of SipHash 2-4.
 ///
-/// See: https://131002.net/siphash/
+/// See: <https://131002.net/siphash/>
 ///
 /// SipHash is a general-purpose hashing function: it runs at a good
 /// speed (competitive with Spooky and City) and permits strong _keyed_
diff --git a/src/libcore/ptr.rs b/src/libcore/ptr.rs
index 3d6abbb7e49c9..01990f61feeb3 100644
--- a/src/libcore/ptr.rs
+++ b/src/libcore/ptr.rs
@@ -551,7 +551,7 @@ impl<T: ?Sized> *const T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
@@ -684,7 +684,7 @@ impl<T: ?Sized> *const T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
@@ -743,7 +743,7 @@ impl<T: ?Sized> *const T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
@@ -1182,7 +1182,7 @@ impl<T: ?Sized> *mut T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
@@ -1382,7 +1382,7 @@ impl<T: ?Sized> *mut T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
@@ -1441,7 +1441,7 @@ impl<T: ?Sized> *mut T {
     ///
     /// Most platforms fundamentally can't even construct such an allocation.
     /// For instance, no known 64-bit platform can ever serve a request
-    /// for 2^63 bytes due to page-table limitations or splitting the address space.
+    /// for 2<sup>63</sup> bytes due to page-table limitations or splitting the address space.
     /// However, some 32-bit and 16-bit platforms may successfully serve a request for
     /// more than `isize::MAX` bytes with things like Physical Address
     /// Extension. As such, memory acquired directly from allocators or memory
diff --git a/src/libstd/ascii.rs b/src/libstd/ascii.rs
index 4e3781ecafab5..327deb9b419be 100644
--- a/src/libstd/ascii.rs
+++ b/src/libstd/ascii.rs
@@ -411,10 +411,12 @@ pub trait AsciiExt {
     fn is_ascii_hexdigit(&self) -> bool { unimplemented!(); }
 
     /// Checks if the value is an ASCII punctuation character:
+    ///
     /// U+0021 ... U+002F `! " # $ % & ' ( ) * + , - . /`
     /// U+003A ... U+0040 `: ; < = > ? @`
-    /// U+005B ... U+0060 `[ \\ ] ^ _ \``
+    /// U+005B ... U+0060 ``[ \\ ] ^ _ ` ``
     /// U+007B ... U+007E `{ | } ~`
+    ///
     /// For strings, true if all characters in the string are
     /// ASCII punctuation.
     ///
diff --git a/src/libstd/ffi/os_str.rs b/src/libstd/ffi/os_str.rs
index a97075ff8d8cd..8c34660f821b7 100644
--- a/src/libstd/ffi/os_str.rs
+++ b/src/libstd/ffi/os_str.rs
@@ -41,7 +41,7 @@ use sys_common::{AsInner, IntoInner, FromInner};
 /// # Creating an `OsString`
 ///
 /// **From a Rust string**: `OsString` implements
-/// [`From`]`<`[`String`]`>`, so you can use `my_string.`[`from`] to
+/// [`From`]`<`[`String`]`>`, so you can use `my_string.from` to
 /// create an `OsString` from a normal Rust string.
 ///
 /// **From slices:** Just like you can start with an empty Rust
@@ -63,7 +63,6 @@ use sys_common::{AsInner, IntoInner, FromInner};
 ///
 /// [`OsStr`]: struct.OsStr.html
 /// [`From`]: ../convert/trait.From.html
-/// [`from`]: ../convert/trait.From.html#tymethod.from
 /// [`String`]: ../string/struct.String.html
 /// [`&str`]: ../primitive.str.html
 /// [`u8`]: ../primitive.u8.html
diff --git a/src/libstd/net/udp.rs b/src/libstd/net/udp.rs
index a8a242846d7ce..870d11298fe3b 100644
--- a/src/libstd/net/udp.rs
+++ b/src/libstd/net/udp.rs
@@ -168,7 +168,7 @@ impl UdpSocket {
     /// This will return an error when the IP version of the local socket
     /// does not match that returned from [`ToSocketAddrs`].
     ///
-    /// See https://github.com/rust-lang/rust/issues/34202 for more details.
+    /// See <https://github.com/rust-lang/rust/issues/34202> for more details.
     ///
     /// [`ToSocketAddrs`]: ../../std/net/trait.ToSocketAddrs.html
     ///
diff --git a/src/libstd/process.rs b/src/libstd/process.rs
index 533f6590f83b2..7c107177c64cd 100644
--- a/src/libstd/process.rs
+++ b/src/libstd/process.rs
@@ -343,7 +343,7 @@ impl Command {
     /// The search path to be used may be controlled by setting the
     /// `PATH` environment variable on the Command,
     /// but this has some implementation limitations on Windows
-    /// (see https://github.com/rust-lang/rust/issues/37519).
+    /// (see <https://github.com/rust-lang/rust/issues/37519>).
     ///
     /// # Examples
     ///
diff --git a/src/libstd/sys/windows/ext/fs.rs b/src/libstd/sys/windows/ext/fs.rs
index a532163f61e19..24c41046f263a 100644
--- a/src/libstd/sys/windows/ext/fs.rs
+++ b/src/libstd/sys/windows/ext/fs.rs
@@ -32,7 +32,7 @@ pub trait FileExt {
     /// function, it is set to the end of the read.
     ///
     /// Reading beyond the end of the file will always return with a length of
-    /// 0.
+    /// 0\.
     ///
     /// Note that similar to `File::read`, it is not an error to return with a
     /// short read. When returning from such a short read, the file pointer is