PIONEER MONEY MARKET TRUST
NSAR-B, 1999-02-24
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<PAGE>      PAGE  1
000 B000000 12/31/98
000 C000000 0000812195
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 PIONEER MONEY MARKET TRUST
001 B000000 811-05099
001 C000000 6177427825
002 A000000 60 STATE STREET
002 B000000 BOSTON
002 C000000 MA
002 D010000 02109
002 D020000 1820
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  1
007 C010100  1
007 C020100 PIONEER CASH RESERVES FUND
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007 C010300  3
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 PIONEER INVESTMENT MANAGEMENT, INC.
008 B00AA01 A
008 C00AA01 801-8255
008 D01AA01 BOSTON
008 D02AA01 MA
008 D03AA01 02109
008 D04AA01 1820
010 A00AA01 PIONEER INVESTMENT MANAGEMENT, INC.
010 B00AA01 801-8255
010 C01AA01 BOSTON
010 C02AA01 MA
010 C03AA01 02109
010 C04AA01 1820
011 A00AA01 PIONEER FUNDS DISTRIBUTOR, INC.
011 B00AA01 8-41256
011 C01AA01 BOSTON
<PAGE>      PAGE  2
011 C02AA01 MA
011 C03AA01 02109
011 C04AA01 1820
012 A00AA01 PIONEERING SERVICES CORPORATION
012 B00AA01 84-1359
012 C01AA01 BOSTON
012 C02AA01 MA
012 C03AA01 02109
012 C04AA01 1820
013 A00AA01 ARTHUR ANDERSEN LLP
013 B01AA01 BOSTON
013 B02AA01 MA
013 B03AA01 02110
013 B04AA01 2812
015 A00AA01 BROWN BROTHERS HARRIMAN & CO.
015 B00AA01 C
015 C01AA01 BOSTON
015 C02AA01 MA
015 C03AA01 02109
015 C04AA01 1975
015 E01AA01 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   36
019 C00AA00 PIONEERFDS
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020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
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022 B000001 13-4973745
022 C000001   3307464
022 D000001         0
022 A000002 CHASE SECURITIES
022 B000002 13-3112953
022 C000002    826600
022 D000002         0
022 A000003 LUMMIS & COMPANY
022 B000003 06-0909285
022 C000003    511174
022 D000003         0
022 A000004 EXXON CREDIT CORP.
022 B000004 13-3072652
022 C000004    469174
<PAGE>      PAGE  3
022 D000004         0
022 A000005 WILLIAMS CAPITAL
022 B000005 23-2177819
022 C000005    248297
022 D000005         0
022 A000006 HOUSEHOLD FINANCE
022 B000006 36-1239445
022 C000006    245503
022 D000006         0
022 A000007 AMERICAN EXPRESS CREDIT
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022 C000007    160899
022 D000007         0
022 A000008 LANSTON, AUBREY G.
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022 C000008    114500
022 D000008         0
022 A000009 GOLDMAN SACHS
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<PAGE>      PAGE  4
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054 E00AA00 N
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<PAGE>      PAGE  5
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078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
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083 A00AA00 N
083 B00AA00        0
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<PAGE>      PAGE  6
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<PAGE>      PAGE  7
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070 I020100 N
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<PAGE>      PAGE  8
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<PAGE>      PAGE  9
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SIGNATURE   ROBERT P. NAULT                              
TITLE       ASST. SECRETARY     
 


<TABLE> <S> <C>

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<CIK> 0000812195
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<SERIES>
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   <NAME> PIONEER CASH RESERVES FUND CLASS A
       
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   <NUMBER> 003    
   <NAME> PIONEER CASH RESERVES FUND CLASS C
       
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To the Shareowners and the  Board of Trustees of
Pioneer Cash Reserves Fund

In planning and performing our audit of the financial statements of Pioneer Cash
Reserves Fund for the year ended  December 31, 1998, we considered  its internal
control,  including control activities for safeguarding securities,  in order to
determine our auditing  procedures  for the purpose of expressing our opinion on
the financial  statements and to comply with the requirements of Form N-SAR, not
to provide assurance on internal control.

The management of Pioneer Cash Reserves Fund is responsible for establishing and
maintaining internal control. In fulfilling this  responsibility,  estimates and
judgments by management are required to assess the expected benefits and related
costs of controls.  Generally, controls that are relevant to an audit pertain to
the entity's objective of preparing  financial  statements for external purposes
that are fairly  presented in  conformity  with  generally  accepted  accounting
principles.   Those  controls   include  the   safeguarding  of  assets  against
unauthorized acquisition, use, or disposition.

Because of inherent  limitations in internal  control,  error or fraud may occur
and not be detected.  Also,  projection of any evaluation of internal control to
future periods is subject to the risk that it may become  inadequate  because of
changes in conditions or that the  effectiveness of the design and operation may
deteriorate.

Our consideration of internal control would not necessarily disclose all matters
in  internal   control  that  might  be  material   weaknesses  under  standards
established  by the  American  Institute  of  Certified  Public  Accountants.  A
material weakness is a condition in which the design or operation of one or more
of the internal control components does not reduce to a relatively low level the
risk  that  misstatements  caused  by error or fraud in  amounts  that  would be
material in relation to the financial statements being audited may occur and not
be  detected  within a timely  period  by  employees  in the  normal  course  of
performing  their assigned  functions.  However,  we noted no matters  involving
internal  control  and  its  operation,   including  controls  for  safeguarding
securities,  that we consider to be material  weaknesses  as defined above as of
December 31, 1998.

This report is intended solely for the  information  and use of management,  the
Board of Trustees of Pioneer Cash Reserves Fund, and the Securities and Exchange
Commission.




/s/ ARTHUR ANDERSEN LLP
ARTHUR ANDERSEN LLP
Boston, Massachusetts
February 12, 1999




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