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/usr/share/sagemath/bin/sage-starts is in sagemath-common 8.1-7ubuntu1.

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The actual contents of the file can be viewed below.

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#!/usr/bin/env bash

# Run this test from SAGE_ROOT.
# If SAGE_ROOT is not defined (this will be the case when called from
# the top-level Makefile), assume the current directory is SAGE_ROOT.
if [ -n "$SAGE_ROOT" ]; then
    cd "$SAGE_ROOT"
fi

echo
echo "Testing that Sage starts..."
echo "[`date +'%Y-%m-%d %H:%M:%S'`] `cat VERSION.txt 2>/dev/null`" | tee -a logs/start.log
# This script is run by the top-level Makefile, so may be run by a
# sysadmin.  We use --nodotsage so we don't force a .sage directory
# in the sysadmin's HOME directory.
cmd='sage.all._write_started_file(); print "Yes, Sage starts."'
build/bin/sage-logger "./sage --nodotsage -c '$cmd'" logs/start.log

if [ $? -ne 0 ]; then
    echo >&2 "Sage failed to start up."
    echo >&2 "Please email sage-devel (http://groups.google.com/group/sage-devel)"
    echo >&2 "explaining the problem and send the log file"
    echo >&2 "  `pwd`/logs/start.log"
    echo >&2 "Describe your computer, operating system, etc."
    rm -f local/etc/sage-started.txt
    exit 1
fi