SC 14D1/A

                     SECURITIES AND EXCHANGE COMMISSION
                           WASHINGTON, D.C. 20549

                               SCHEDULE 14D-1
                              AMENDMENT NO. 19
                           Tender Offer Statement
    Pursuant to Section 14(d)(1) of the Securities Exchange Act of 1934

                         RENTAL SERVICE CORPORATION
                         (Name of Subject Company)

                         UR ACQUISITION CORPORATION
                            UNITED RENTALS, INC.
                                 (Bidders)

                   COMMON STOCK, PAR VALUE $.01 PER SHARE
                       (Title of Class of Securities)

                                76009V 10 2
                   (CUSIP Number of Class of Securities)

                            UNITED RENTALS, INC.
                         FOUR GREENWICH OFFICE PARK
                            GREENWICH, CT 06830
                          ATTN.: BRADLEY S. JACOBS
                         CHAIRMAN OF THE BOARD AND
                          CHIEF EXECUTIVE OFFICER
                          TELEPHONE:(203) 622-3131
                          FACSIMILE:(203) 622-6080
        (Name, Address and Telephone Number of Person authorized to
          Receive Notices and Communications on Behalf of Bidders)

                                  COPY TO:

                           MILTON G. STROM, ESQ.
                  SKADDEN, ARPS, SLATE, MEAGHER & FLOM LLP
                              919 THIRD AVENUE
                          NEW YORK, NEW YORK 10022
                         TELEPHONE: (212) 735-3000
                         FACSIMILE: (212) 735-2000

      UR Acquisition Corporation, a Delaware corporation (the "Purchaser")
 and a wholly owned subsidiary of United Rentals, Inc., a Delaware
 corporation ("Parent"), and Parent hereby amend and supplement their Tender
 Offer Statement on Schedule 14D-1 (as amended from time to time, the
 "Schedule 14D-1"), filed with the Securities and Exchange Commission (the
 "Commission") on April 5, 1999, with respect to the Purchaser's offer to
 purchase all of the shares of common stock, par value $0.01 per share
 (collectively with the associated preferred stock purchase rights (the
 "Rights") issued pursuant to the Rights Agreement, dated as of April 16,
 1999 (the "Rights Agreement"), between Rental Service Corporation and
 ChaseMellon Shareholder Services, L.L.C., the "Shares"), of Rental Service
 Corporation, a Delaware corporation (the "Company"),  at a price of $22.75
 per Share, net to the seller in cash (such price, or such higher price per
 Share as may be paid in the Offer, the "Offer Price"), upon the terms and
 subject to the conditions set forth in the Offer to Purchase and in the
 related Letter of Transmittal (which, as amended from time to time,
 together constitute the "Offer").  Unless otherwise indicated herein, each
 capitalized term used but not defined herein shall have the meaning
 ascribed to such term in the Schedule 14D-1 or in the Offer to Purchase
 referred to therein.

 ITEM 10.  ADDITIONAL INFORMATION.

      The information set forth in Item 10(f) of the Schedule 14D-1 is
 hereby amended and supplemented by the following information:

      On May 28, 1999, Parent issued a press release announcing the
 extension of the Expiration Date of the Offer until 12:00 midnight, New
 York City time, on Friday, June 18, 1999.  The Offer was previously
 scheduled to expire at 12:00 midnight on May 27, 1999.  As of midnight, New
 York City time, on May 27, 1999, 3,639,088 Shares (including 934,200 Shares
 tendered by notice of guaranteed delivery), or approximately 15% of the
 24,268,770 Shares outstanding at such time, were validly tendered and not
 withdrawn. The full text of the press release is filed as Exhibit (a)(25)
 hereto and is incorporated by reference herein.

 ITEM 11.  MATERIALS TO BE FILED AS EXHIBITS.

      (a)(25)        Press Release of Parent dated May 28, 1999.

                                 SIGNATURE

      After due inquiry and to the best of my knowledge and belief, I
 certify that the information set forth in this statement is true, complete
 and correct.

                                UR Acquisition Corporation

                                By: /s/ John N. Milne
                                   ---------------------------------
                                    Name: John N. Milne
                                    Title: President


                                United Rentals, Inc.


                                By: /s/ Bradley S. Jacobs
                                   ---------------------------------
                                    Name: Bradley S. Jacobs
                                    Title: Chairman and Chief Executive
                                            Officer


 Date: May 28, 1999



                             INDEX TO EXHIBITS

 EXHIBIT
 NUMBER                         EXHIBIT
 -------                        -------

 (a)(25)      Press Release of Parent dated May 28, 1999.

EX-99

 [United Rentals Logo]

 FOR IMMEDIATE RELEASE

             UNITED RENTALS, INC. EXTENDS $22.75 PER SHARE CASH
                TENDER OFFER FOR RENTAL SERVICE CORPORATION

           GREENWICH, CT, MAY 28, 1999 - United Rentals, Inc. (NYSE: URI)
 today announced that it has extended its $22.75 per share cash tender offer
 for shares of Rental Service Corporation (NYSE: RSV) to midnight, New York
 City time, on June 18, 1999.  The tender offer was previously scheduled to
 expire at midnight on May 27, 1999.

      As of midnight on May 27, Rental Service stockholders had validly
 tendered 3,639,088 shares pursuant to the tender offer, representing
 approximately 15% of the 24,268,770 common shares outstanding.

      United Rentals announced its $22.75 per share all cash offer for the
 outstanding shares of Rental Service on April 5.  The offer represents a
 32% premium to Rental Service's closing price on the last day of trading
 prior to the announcement.

      United Rentals, Inc. is the largest equipment rental company in North
 America and serves over 900,000 customers through its network of 506
 locations in 41 states, Canada and Mexico.

      ###


 United Rentals, Inc.

 Investor contact:           Media contact:
 Robert Miner                Fred Bratman or Tracy Williams
 United Rentals              Sard Verbinnen & Co.
 Phone: 203-622-3131         Phone: 212-687-8080
 Fax: 203-622-6080           Fax: 212-687-8344
 E-mail: bminer@ur.com       E-mail: fbratman@sardverb.com
                                  or twilliams@sardverb.com