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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                                  -------------

                                  SCHEDULE 13D
                    UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. 1)*
                                  -------------

                              UNITED RENTALS, INC.
                                (NAME OF ISSUER)

                     COMMON STOCK, PAR VALUE $.01 PER SHARE

                         (TITLE OF CLASS OF SECURITIES)

                                   911 363 109

                                 (CUSIP NUMBER)
                                  -------------

                                MICHAEL D. WEINER
                           APOLLO MANAGEMENT IV, L.P.
                             TWO MANHATTANVILLE ROAD
                            PURCHASE, NEW YORK 10577
                                 (914) 694-8000
                  (NAME, ADDRESS AND TELEPHONE NUMBER OF PERSON
                 AUTHORIZED TO RECEIVE NOTICES OF COMMUNICATION)
                                  -------------

                                    Copy to:


                                OCTOBER 29, 2001
             (DATE OF EVENT WHICH REQUIRES FILING OF THIS STATEMENT)

     If the filing  person has  previously  filed a statement on Schedule 13G to
     report the  acquisition  which is the subject of this  Schedule 13D, and is
     filing  this   schedule   because  of   ss.ss.240.13d-1(e),   240.13d-1(f),
     240.13d-1(g), check the following box. |_|

     Note:  Schedules  filed in paper format shall include a signed original and
     five copies of the schedule,  including all exhibits.  Seess.240.13d-7  for
     other  parties to whom copies are to be sent.
                       (Continued on the following pages)
                               (Page 1 of 15 pages)


                       -----------------------------------


*    The  remainder  of this cover  page  shall be filled out for a  reporting
person's  initial  filing on this  form with  respect  to the  subject  class of
securities,  and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

     The  information  required on the remainder of this cover page shall not be
deemed to be "filed"  for the purpose of Section 18 of the  Securities  Exchange
Act of 1934 or otherwise  subject to the  liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the Notes)


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-----------------------------                          -------------------------

   CUSIP NO. 911 363 109                13D                  (Page 2 of 15)
-----------------------------                          -------------------------

--------------------------------------------------------------------------------
  1   NAMES OF REPORTING PERSONS
      Apollo Investment Fund IV, L.P.

      S.S. OR I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS

--------------------------------------------------------------------------------
  2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                 (a) |_|
                                                                       (b) |X|
--------------------------------------------------------------------------------
  3   SEC USE ONLY
--------------------------------------------------------------------------------
  4   SOURCE OF FUNDS*
      OO
--------------------------------------------------------------------------------
  5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
      TO ITEMS 2(d) OR 2(e)                                                |_|
--------------------------------------------------------------------------------
  6   CITIZENSHIP OR PLACE OF ORGANIZATION
      Delaware
--------------------------------------------------------------------------------
   NUMBER OF      7   SOLE VOTING POWER
     SHARES
  BENEFICIALLY         14,546,573
 OWNED BY EACH
   REPORTING
  PERSON WITH
                 ---------------------------------------------------------------
                  8   SHARED VOTING POWER

                 ---------------------------------------------------------------
                  9   SOLE DISPOSITIVE POWER
                       14,546,573
                 ---------------------------------------------------------------
                  10  SHARED DISPOSITIVE POWER

--------------------------------------------------------------------------------
 11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
      14,546,573
--------------------------------------------------------------------------------
 12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN
      SHARES*                                                              |X|
--------------------------------------------------------------------------------
 13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)
      16.4%
--------------------------------------------------------------------------------
 14   TYPE OF REPORTING PERSON REPORTING*
      PN
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!



-----------------------------                          -------------------------

   CUSIP NO. 911 363 109                13D                  (Page 3 of 15)
-----------------------------                          -------------------------

--------------------------------------------------------------------------------
  1   NAMES OF REPORTING PERSONS
      Apollo Overseas Partners IV, L.P.

      S.S. OR I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS

--------------------------------------------------------------------------------
  2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                 (a) |_|
                                                                       (b) |X|
--------------------------------------------------------------------------------
  3   SEC USE ONLY
--------------------------------------------------------------------------------
  4   SOURCE OF FUNDS*
      OO
--------------------------------------------------------------------------------
  5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
      TO ITEMS 2(d) OR 2(e)                                                |_|
--------------------------------------------------------------------------------
  6   CITIZENSHIP OR PLACE OF ORGANIZATION
      Cayman Islands
--------------------------------------------------------------------------------
   NUMBER OF      7   SOLE VOTING POWER
     SHARES
  BENEFICIALLY         786,760
 OWNED BY EACH
   REPORTING
  PERSON WITH
                 ---------------------------------------------------------------
                  8   SHARED VOTING POWER

                 ---------------------------------------------------------------
                  9   SOLE DISPOSITIVE POWER
                       786,760
                 ---------------------------------------------------------------
                  10  SHARED DISPOSITIVE POWER

--------------------------------------------------------------------------------
 11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
      786,760
--------------------------------------------------------------------------------
 12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN
      SHARES*                                                              |X|
--------------------------------------------------------------------------------
 13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)
      0.9%
--------------------------------------------------------------------------------
 14   TYPE OF REPORTING PERSON REPORTING*
      PN
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!



-----------------------------                          -------------------------

   CUSIP NO. 911 363 109                13D                  (Page 4 of 15)
-----------------------------                          -------------------------

--------------------------------------------------------------------------------
  1   NAMES OF REPORTING PERSONS
      Apollo Advisors IV, L.P.

      S.S. OR I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS

--------------------------------------------------------------------------------
  2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                 (a) |_|
                                                                       (b) |X|
--------------------------------------------------------------------------------
  3   SEC USE ONLY
--------------------------------------------------------------------------------
  4   SOURCE OF FUNDS*
      OO
--------------------------------------------------------------------------------
  5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
      TO ITEMS 2(d) OR 2(e)                                                |_|
--------------------------------------------------------------------------------
  6   CITIZENSHIP OR PLACE OF ORGANIZATION
      Delaware
--------------------------------------------------------------------------------
   NUMBER OF      7   SOLE VOTING POWER
     SHARES
  BENEFICIALLY         15,333,333
 OWNED BY EACH
   REPORTING
  PERSON WITH
                 ---------------------------------------------------------------
                  8   SHARED VOTING POWER

                 ---------------------------------------------------------------
                  9   SOLE DISPOSITIVE POWER
                       15,333,333
                 ---------------------------------------------------------------
                  10  SHARED DISPOSITIVE POWER

--------------------------------------------------------------------------------
 11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
      15,333,333
--------------------------------------------------------------------------------
 12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN
      SHARES*                                                              |_|
--------------------------------------------------------------------------------
 13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)
      17.3%
--------------------------------------------------------------------------------
 14   TYPE OF REPORTING PERSON REPORTING*
      PN
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!



            This Amendment No. 1 filed on October 30, 2001 amends, supplements
      and restates the following Items of the Statement on Schedule 13D (the
      "Schedule 13D") of Apollo Investment Fund IV, L.P., a Delaware limited
      partnership ("AIFIV"), Apollo Overseas Partners IV, L.P., an exempted
      limited partnership registered in the Cayman Islands ("Overseas IV"), and
      Apollo Advisors IV, L.P., a Delaware limited partnership ("Advisors IV",
      and together with AIFIV and Overseas IV, the "Reporting Persons"), filed
      on January 8, 1999 with respect to the shares of common stock, par value
      $0.01 per share ("Common Stock") of United Rentals, Inc., a Delaware
      corporation (the "Issuer"). Unless otherwise indicated, all capitalized
      terms used but not defined herein have the meanings set forth in the
      Schedule 13D.

            Responses to each item below are incorporated by reference into each
      other item, as applicable.

      ITEM 3.  SOURCE AND AMOUNT OF FUNDS AND OTHER CONSIDERATION.

            Item 3 of the Schedule 13D is amended and restated in its entirety
      as follows:

            In January 1999, AIFIV and Overseas IV (collectively, the
      "Purchasers") purchased an aggregate of 300,000 shares of Series A
      Perpetual Convertible Preferred Stock, $.01 par value, of the Issuer (the
      "Series A Preferred") for an aggregate purchase price of $300 million. The
      purchase was financed with cash on hand.

            In September 1999, the Purchasers purchased an aggregate of 100,000
      shares of Series B Perpetual Convertible Preferred Stock, Class B-1, $.01
      par value, of the Issuer (the "B-1 Preferred") for an aggregate purchase
      price of $100 million. The purchase was financed with cash on hand.

            In October 2001, the Purchasers exchanged an aggregate of 300,000
      shares of Series A Preferred for an aggregate of 300,000 shares of Series
      C Perpetual Convertible Preferred Stock, $.01 par value, of the Issuer
      (the "Series C Preferred") and exchanged an aggregate of 100,000 shares of
      B-1 Preferred for an aggregate of 100,000 shares of Series D Perpetual
      Convertible Preferred Stock, Class D-1, $.01 par value, of the Issuer (the
      "D-1 Preferred"). No additional consideration was provided in connection
      with the exchange.

      ITEM 4.  PURPOSE OF THE TRANSACTION.

            Item 4 of the Schedule 13D is amended and restated in its entirety
      as follows:

            Pursuant to the terms of the Preferred Stock Purchase Agreement,
      dated as of December 28, 1998, among the Purchasers and the Issuer, on
      January 7, 1999, AIFIV acquired 284,726 shares of Series A Preferred and
      Overseas IV acquired 15,274 shares of Series A Preferred. The Purchasers
      acquired such shares for investment purposes. Pursuant to the terms of the
      Preferred Stock Purchase Agreement, dated as of June 28, 1999, among the
      Purchasers and the Issuer, as amended July 16, 1999, on September 30,
      1999, AIFIV acquired 94,726 shares of B-1 Preferred and Overseas IV
      acquired 5,274 shares of B-1 Preferred. The Purchasers acquired such
      shares for investment purposes.

            Pursuant to an Agreement, dated as of September 28, 2001, among the
      Issuer, the


                                  Page 5 of 15



            Purchasers and Chase Equity Associates, L.P. (the "Agreement"), on
      October 29, 2001, the Purchasers exchanged their shares of Series A
      Preferred and B-1 Preferred for shares of Series C Preferred and D-1
      Preferred, respectively. The principal difference between the Series A
      Preferred and the Series B-1 Preferred and the Series C Preferred and
      Series D-1 Preferred for which they have been exchanged is that the Series
      C Preferred and Series D-1 Preferred are not subject to mandatory
      redemption on a Non-Approved Change of Control (as defined below under
      "Additional Rights Upon Non-Approved Change in Control"). Under guidance
      the Securities and Exchange Commission issued in July, 2001 to all public
      companies, the Series A Preferred and the B-1 Preferred could not be
      classified as permanent stockholders' equity because such stock was
      subject to mandatory redemption on a change of control effected without
      the approval of the Issuer's board of directors (the "Board"). The
      principal reason for the exchange effected under the Agreement was to
      enable the Issuer to continue to classify its preferred stock as permanent
      stockholders' equity and to provide certain rights to the holders of the
      Series C Preferred and the Series D Preferred in the event of a
      Non-Approved Change of Control.

            Pursuant to the Agreement, the powers, preferences and rights and
      the qualifications, limitations and restrictions (the "Terms") of the
      Series C Preferred and the D-1 Preferred are identical to the Terms of the
      Series A Preferred and the B-1 Preferred for which they were exchanged,
      except as described above and with respect to certain additional rights
      that may vest on the occurrence of a Non-Approved Change in Control. These
      exchanges did not alter the number of shares of Common Stock beneficially
      owned by the Purchasers. The Terms of the Series C Preferred and the D-1
      Preferred are summarized below. These summaries are qualified in their
      entirety by reference to the Agreement and the Certificates of Designation
      of the Series C Preferred and the Series D Preferred, copies of which have
      been filed as exhibits to this Schedule and are incorporated herein by
      reference.

   SERIES C PREFERRED

           Ranking. The Series C Preferred ranks (1) senior to the Common Stock
           -------
     with respect to distributions upon the liquidation, winding-up or
     dissolution of the Issuer and (2) the same as the Series D Preferred
     (described below) with respect to such distributions.

           Conversion Rights. Each share of Series C Preferred is convertible at
           -----------------
     any time, at the option of the holder, into 40 shares of Common Stock
     (based on a conversion price of $25 per share of Common Stock and the
     liquidation preference of $1,000 per share of Series C Preferred). The
     conversion price is subject to adjustment in certain events as set forth in
     the Certificate of Designation.

           Liquidation Preference.  If a Liquidation Event occurs, the following
           ----------------------
     applies:

           o  If the Liquidation Event was not preceded by a Non-Approved Change
              in Control, then the holders of Series C Preferred are entitled to
              payment out of the assets of the Issuer available for distribution
              of an amount equal to $1,000 per share of Series C Preferred  (the
              "Series  C  Liquidation  Preference"),  plus  accrued  and  unpaid
              dividends,  if any, to the date fixed for the  Liquidation  Event,
              before any distribution is made on the


                                  Page 6 of 15



              Common Stock.  After  receiving  such payment,  the holders of the
              Series C Preferred are not entitled to participate  further in any
              distribution of assets of the Issuer.

           o  If the Liquidation Event was preceded by a Non-Approved  Change in
              Control,  then the holders of the Series C Preferred  may have the
              right to receive additional amounts and to participate  further in
              any distribution of assets of the Issuer, as described below under
              "Additional Rights Upon Non-Approved Change in Control."

           A "Liquidation Event" means (1) any voluntary or involuntary
     liquidation, dissolution or winding-up of the Issuer or (2) any reduction
     or decrease in the capital stock of the Issuer resulting in a distribution
     of assets to the holders of any class or series of the Issuer's capital
     stock.

           Dividends. Unless and until a Non-Approved Change in Control occurs,
           ---------
     the Series C Preferred does not bear any stated dividends. If a
     Non-Approved Change in Control occurs, the Series C Preferred may begin to
     accrue dividends as described below under "Additional Rights Upon
     Non-Approved Change in Control."

           Whether or not a Non-Approved Change in Control occurs, if the Issuer
     declares or pays any dividends or other distributions upon the Common
     Stock, the Issuer must (subject to certain exceptions) also declare and pay
     to the holders of the Series C Preferred those dividends or distributions
     which would have been declared and paid with respect to the Common Stock
     issuable upon conversion of the Series C Preferred had all of the
     outstanding shares of Series C Preferred been converted immediately prior
     to the record date for such dividend or distribution, or if no record date
     is fixed, the date as of which the record holders of Common Stock entitled
     to such dividends or distributions are determined.

           Voting. Unless and until a Non-Approved Change in Control occurs, for
           ------
     so long as the Purchasers or their affiliates hold the equivalent of at
     least 8 million shares of Common Stock that were issued, or are issuable,
     upon conversion of the Series C Preferred, the holders of Series C
     Preferred, voting separately as a single class, have the right to elect two
     directors to serve on the Board. For so long as the Purchasers or their
     affiliates hold the equivalent of less than 8 million but more than 4
     million such shares of Common Stock, the holders of Series C Preferred,
     voting separately as a single class, have the right to elect one director
     to serve on the Board.

           If the holders of Series C Preferred do not have the voting rights
     described above, then such holders have the right to vote in elections of
     directors together with the holders of Common Stock, as a single class,
     with each share of Series C Preferred entitled to one vote for each share
     of Common Stock issuable upon conversion of such share of Series C
     Preferred.

           If a Non-Approved Change in Control occurs, the holders of Series C
     Preferred may have the right to elect additional directors as described
     under "Additional Rights Upon Non-Approved Change in Control."

           Except as described above with respect to the election of directors
     and except as otherwise required by applicable law, the holders of Series C
     Preferred are entitled to vote together with the holders of Common Stock as
     a single class on all matters submitted to stockholders for a vote.


                                  Page 7 of 15



     Each share of Series C Preferred  is entitled to one vote for each share of
     Common Stock issuable upon conversion of such share of Series C Preferred.

           In addition, the Issuer may not take certain actions specified in the
     Certificate of Designation without the affirmative vote or consent of the
     holders of at least a majority of the shares of Series C Preferred then
     outstanding, voting or consenting as the case may be, as a separate class.

           Redemption; Automatic Conversion. If a Change in Control, other than
           --------------------------------
     a Non-Approved Change in Control, occurs with respect to the Issuer (or the
     Issuer enters into a binding agreement relating thereto), the Issuer must
     offer to purchase within 10 business days after the Change in Control all
     of the then outstanding shares of Series C Preferred at a purchase price
     per share, in cash, equal to the Series C Liquidation Preference thereof
     plus an amount equal to 6.25% of the Series C Liquidation Preference,
     compounded annually from January 7, 1999 to the purchase date.

           Redemption Relating to Certain Issuances of Securities. If the Issuer
           ------------------------------------------------------
     issues for cash C