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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G

         Under the Securities Exchange Act of 1934
                          (Amendment No. __1_________)*

                               UNITED RENTALS INC.
--------------------------------------------------------------------------------
                                (Name of Issuer)

                                     COMMON
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                    911363109
--------------------------------------------------------------------------------
                                 (CUSIP Number)

                                    12-31-04
--------------------------------------------------------------------------------
             (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this
Schedule is filed:

 [X] Rule 13d-1(b)

 [ ] Rule 13d-1(c)

 [ ] Rule 13d-1(d)

--------------------------
*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 the disclosures provided in a prior cover page.

The information required in 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 ("Act") 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).

                                  Page 1 of 6


CUSIP No. 911363109
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    1.   Names of Reporting Persons.
         I.R.S. Identification Nos. of above persons (entities only).

         (a)    U.S. Trust Corporation*                         13-2927955

         (b)    United States Trust Company of New York         13-5459866

         (c)    U.S. Trust Company, N.A.                        95-4311476

        *U.S. Trust Corporation ("UST"), a Bank Holding Company, is a
         wholly-owned direct subsidiary of The Charles Schwab Corporation
         ("Schwab"), which is a publicly-traded company. Charles Schwab
         Investment Management, Inc. ("CSIM"), which is a wholly-owned direct
         subsidiary of Schwab, files separate Forms 13G. Neither UST nor CSIM
         shares any power with respect to the voting or disposition of
         securities reflected on the other's Forms 13G. United States Trust
         Company of New York, which is a New York State-Chartered Bank, is a
         wholly-owned direct subsidiary of UST. U.S. Trust Company, N.A., which
         is a National Bank with headquarters in Connecticut, is a wholly-owned
         direct subsidiary of UST.

--------------------------------------------------------------------------------
    2.   Check the Appropriate Box if a Member of a Group (See Instructions)

         (a)  [ ]

         (b)  [ ]

--------------------------------------------------------------------------------
    3.   SEC Use Only

--------------------------------------------------------------------------------
    4.   Citizenship or Place of Organization

         (a)    U.S. Trust Corporation
                (Incorporated in New York)

         (b)    United States Trust Company of New York
                (Incorporated in New York)

         (c)    U.S. Trust Company, N.A.
                (National Bank with headquarters in Connecticut)

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

                 5.  Sole Voting Power
                
                             1,190,620
                
    Number       ---------------------------------------------------------------
    of Shares    6.  Shared Voting Power
    Beneficially
    Owned by                  -0-
    Each
    Reporting    ---------------------------------------------------------------
    Person       7.  Sole Dispositive Power

                             5,278,120

                 ---------------------------------------------------------------
                 8.  Shared Dispositive Power

                                283,145

--------------------------------------------------------------------------------
    9.   Aggregate Amount Beneficially Owned by Each Reporting Person

                                5,561,265

--------------------------------------------------------------------------------
    10.  Check if the Aggregate Amount in Row (9) Excludes Certain Shares
         (See Instructions)

         [ ]

--------------------------------------------------------------------------------
    11.  Percent of Class Represented by Amount in Row (9)

                                  7.14%

--------------------------------------------------------------------------------
    12.  Type of Reporting Person (See Instructions)

         U.S. Trust Corporation (HC)

         United States Trust Company of New York (BK)

         U.S. Trust Company, N.A. (BK)

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

                                  Page 2 of 6


Item 1.

         (a) Name of Issuer

                 UNITED RENTALS INC.

         (b) Address of Issuer's Principal Executive Offices

                5 Grenwich Office Park
                Greenwich CT 06830

 Item 2.

         (a) Name of Person Filing

                (a)     U.S. Trust Corporation*                 13-2927955

                (b)     United States Trust Company of New York 13-5459866

                (c)     U.S. Trust Company, N.A.                95-4311476

         *U.S. Trust Corporation ("UST"), a Bank Holding Company, is a
         wholly-owned direct subsidiary of The Charles Schwab Corporation
         ("Schwab"), which is a publicly-traded company. Charles Schwab
         Investment Managemwnt, Inc. ("CSIM"), which is a wholly-owned direct
         subsidiary of Schwab, files separate Forms 13G. Neither UST nor CSIM
         shares any power with respect to the voting or disposition of
         securities reflected on the other's Forms 13G. United States Trust
         Company of New York, which is a New York State-Chartered Bank, is a
         wholly-owned direct subsidiary of UST. U.S. Trust Company, N.A., which
         is a National Bank with headquarters in Connecticut, is a wholly-owned
         direct subsidiary of UST.

         (b) Address of Principal Business Office or, if none, Residence

                114 West 47th Street
                New York, NY  10036-1532

                                  Page 3 of 6


         (c) Citizenship

                (a)     U.S. Trust Corporation (Incorporated in New York)

                (b)     United States Trust Company of New York (Incorporated in
                        New York)

                (c)     U.S. Trust Comapany, N.A. (National Bank with 
                        headquarters in Connecticut)

         (d) Title of Class of Securities

                COMMON

         (e) CUSIP Number

                911363109

Item 3.  If this statement is filed pursuant to Section 240.13d-1(b) or
         240.13d-2(b) or (c), check whether the person filing is a:

         (a) [ ] Broker or dealer registered under section 15 of the Act (15
                 U.S.C. 78o).

         (b) [X] Bank as defined in section 3(a)(6) of the Act (15 U.S.C.
                 78c).

         (c) [ ] Insurance company as defined in section 3(a)(19) of the Act
                 (15 U.S.C. 78c).

         (d) [ ] Investment company registered under section 8 of the
                 Investment Company Act of 1940 (15 U.S.C 80a-8).

         (e) [ ] An investment adviser in accordance with Section
                 240.13d-1(b)(1)(ii)(E);

         (f) [ ] An employee benefit plan or endowment fund in accordance
                 with Section 240.13d-1(b)(1)(ii)(F);

         (g) [X] A parent holding company or control person in accordance
                 with Section 240.13d-1(b)(1)(ii)(G);

         (h) [ ] A savings associations as defined in section 3(b) of the
                 Federal Deposit Insurance Act (12 U.S.C. 1813);

         (i) [ ] A church plan that is excluded from the definition of an
                 investment company under section 3(c)(14) of the Investment
                 Company Act of 1940 (15 U.S.C. 80a-3);

         (j) [ ] Group, in accordance with Section 240.13d-1(b)(1)(ii)(J).

Item 4. Ownership.

Provide the following information regarding the aggregate number and percentage
of the class of securities of the issuer identified in Item 1.

         (a) Amount beneficially owned: 5,561,265.

         (b) Percent of class:          7.14%.

         (c) Number of shares as to which the person has:

             (i)   Sole power to vote or to direct the vote

                                         1,190,620.

             (ii)  Shared power to vote or to direct the vote

                                         -0-.

             (iii) Sole power to dispose or to direct the disposition of

                                         5,278,120.

             (iv)  Shared power to dispose or to direct the disposition of

                                        283,145.

Instruction. For computations regarding securities which represent a right to
acquire an underlying security see Sec. 240.13d3(d)(1).

                                  Page 4 of 6


Item 5. Ownership of Five Percent or Less of a Class

If this statement is being filed to report the fact that as of the date hereof
the reporting person has ceased to be the beneficial owner of more than five
percent of the class of securities, check the following [ ].

Item 6. Ownership of More than Five Percent on Behalf of Another Person.

Item 7. Identification and Classification of the Subsidiary Which Acquired the
        Security Being Reported on By the Parent Holding Company or Control
        Person

Item 8. Identification and Classification of Members of the Group

                (a)     U.S. Trust Corporation*                 13-2927955

                (b)     United States Trust Company of New York 13-5459866

                (c)     U.S. Trust Company, N.A.                95-4311476

         *U.S. Trust Corporation ("UST"), a Bank Holding Company, is a
         wholly-owned direct subsidiary of The Charles Schwab Corporation
         ("Schwab"), which is a publicly-traded company. Charles Schwab
         Investment Managemwnt, Inc. ("CSIM"), which is a wholly-owned direct
         subsidiary of Schwab, files separate Forms 13G. Neither UST nor CSIM
         shares any power with respect to the voting or disposition of
         securities reflected on the other's Forms 13G. United States Trust
         Company of New York, which is a New York State-Chartered Bank, is a
         wholly-owned direct subsidiary of UST. U.S. Trust Company, N.A., which
         is a National Bank with headquarters in Connecticut, is a wholly-owned
         direct subsidiary of UST.

Item 9. Notice of Dissolution of Group

Item 10. Certification

         (a) The following certification shall be included if the statement is
filed pursuant to Section 240.13d-1(b):

                  By signing below I certify that, to the best of my knowledge
                  and belief, the securities referred to above were acquired and
                  are held in the ordinary course of business and were not
                  acquired and are not held for the purpose of or with the
                  effect of changing or influencing the control of the issuer of
                  the securities and were not acquired and are not held in
                  connection with or as a participant in any transaction having
                  that purpose or effect.

                                  Page 5 of 6


                                    SIGNATURE

After reasonable 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.
                                     February 14, 2005
                                -----------------------------------
                                                Date

                                         /s/ MICHAEL J. MURPHY
                                -----------------------------------
                                             Signature

                               Authorized Agent/Senior Vice President
                               --------------------------------------
                                            Name/Title

The original statement shall be signed by each person on whose behalf the
statement is filed or his authorized representative. If the statement is signed
on behalf of a person by his authorized representative other than an executive
officer or general partner of the filing person, evidence of the
representative's authority to sign on behalf of such person shall be filed with
the statement; provided, however, that a power of attorney for this purpose
which is already on file with the Commission may be incorporated by reference.
The name and any title of each person who signs the statement shall be typed or
printed beneath his signature.

NOTE: Schedules filed in paper format shall include a signed original and five
copies of the schedule, including all exhibits. See Section 240.13d-7 for other
parties for whom copies are to be sent.

ATTENTION: INTENTIONAL MISSTATEMENTS OR OMISSIONS OF FACT CONSTITUTE FEDERAL
CRIMINAL VIOLATIONS (SEE 18 U.S.C. 1001)

                                  Page 6 of 6