<PAGE> PAGE 1
000 B000000 03/31/95
000 C000000 0000883679
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 TCW/DW CORE EQUITY TRUST
001 B000000 811-6551
001 C000000 2123922550
002 A000000 TWO WORLD TRADE CENTER
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10048
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
007 C010100 1
007 C010200 2
007 C010300 3
007 C010400 4
007 C010500 5
007 C010600 6
007 C010700 7
007 C010800 8
007 C010900 9
007 C011000 10
007 C011100 11
007 C011200 12
007 C011300 13
007 C011400 14
007 C011500 15
007 C011600 16
007 C011700 17
007 C011800 18
007 C011900 19
007 C012000 20
007 C012100 21
007 C012200 22
007 C012300 23
007 C012400 24
007 C012500 25
007 C012600 26
007 C012700 27
007 C012800 28
007 C012900 29
<PAGE> PAGE 2
007 C013000 30
007 C013100 31
007 C013200 32
007 C013300 33
007 C013400 34
007 C013500 35
007 C013600 36
007 C013700 37
007 C013800 38
007 C013900 39
007 C014000 40
007 C014100 41
007 C014200 42
007 C014300 43
007 C014400 44
007 C014500 45
007 C014600 46
007 C014700 47
007 C014800 48
007 C014900 49
007 C015000 50
007 C015100 51
007 C015200 52
007 C015300 53
007 C015400 54
007 C015500 55
007 C015600 56
007 C015700 57
007 C015800 58
007 C015900 59
007 C016000 60
007 C016100 61
007 C016200 62
007 C016300 63
007 C016400 64
007 C016500 65
007 C016600 66
007 C016700 67
007 C016800 68
007 C016900 69
007 C017000 70
008 A000001 TCW FUNDS MANAGEMENT, INC.
008 B000001 A
008 C000001 801-29075
008 D010001 LOS ANGELES
008 D020001 CA
008 D030001 90017
010 A000001 DEAN WITTER SERVICES COMPANY INC.
010 C010001 NEW YORK
010 C020001 NY
010 C030001 10048
<PAGE> PAGE 3
011 A000001 DELETE
012 A000001 DEAN WITTER TRUST COMPANY
012 B000001 84-1785
012 C010001 JERSEY CITY
012 C020001 NJ
012 C030001 07311
013 A000001 PRICE WATERHOUSE LLP
013 B010001 NEW YORK
013 B020001 NY
013 B030001 10026
014 A000001 DELETE
015 A000001 THE BANK OF NEW YORK
015 B000001 C
015 C010001 NEW YORK
015 C020001 NY
015 C030001 10286
015 E010001 X
018 000000 Y
019 A000000 Y
019 B000000 13
019 C000000 TCW/WITTER
020 A000001 GOLDMAN SACHS & CO
020 B000001 13-5108880
020 C000001 147
020 A000002 LEHMAN BROTHERS
020 B000002 13-2518466
020 C000002 141
020 A000003 DEAN WITTER REYNOLDS
020 B000003 94-1671384
020 C000003 73
020 A000004 MORGAN JP SECURITIES
020 B000004 13-3224016
020 C000004 60
020 A000005 BROADCOURT CAP
020 B000005 13-3144415
020 C000005 58
020 A000006 BURNS FRY
020 C000006 36
020 A000007 NATWEST SECURITIES
020 B000007 13-3312778
020 C000007 29
020 A000008 MERRILL LYNCH PIERCE FENNER AND SMITH
020 B000008 13-5674085
020 C000008 27
020 A000009 LAWRENCE (CJ)
020 B000009 13-2730828
020 C000009 24
020 A000010 WESTMINSTER SECURITIES
020 B000010 13-2697772
020 C000010 24
021 000000 1022
<PAGE> PAGE 4
022 A000001 *BANK OF NEW YORK (THE)
022 B000001 13-5160382
022 C000001 2299621
022 D000001 0
022 A000002 *ASSOCIATES CORP. OF N. AMERICA
022 B000002 74-1494554
022 C000002 58993
022 D000002 0
022 A000003 *BANK OF AMERICA NT & SA
022 B000003 94-1687665
022 C000003 41963
022 D000003 0
022 A000004 *GE CAPITAL CORP.
022 B000004 13-1500700
022 C000004 29973
022 D000004 0
022 A000005 *CITICORP SECURITIES MARKET INC.
022 B000005 13-2771536
022 C000005 21996
022 D000005 0
022 A000006 *FIRST CHICAGO CAPITAL MARKETS
022 B000006 36-3595942
022 C000006 20983
022 D000006 0
022 A000007 *GENERAL ELECTRIC COMPANY
022 B000007 14-0689340
022 C000007 19984
022 D000007 0
022 A000008 *MORGAN STANLEY & CO. INC.
022 B000008 13-2655998
022 C000008 14320
022 D000008 4804
022 A000009 *MERRILL LYNCH, PIERCE, FENNER & SMITH
022 B000009 13-5674085
022 C000009 12938
022 D000009 5451
022 A000010 *CS FIRST BOSTON CORP.
022 B000010 13-5659485
022 C000010 8391
022 D000010 8601
023 C000000 2598848
023 D000000 55514
024 000000 Y
025 A000001 BEAR STEARNS CO., INC.
025 B000001 13-3299429
025 C000001 E
025 D000001 9606
025 A000002 MERRILL LYNCH & CO INC.
025 B000002 13-5674085
025 C000002 E
025 D000002 16385
<PAGE> PAGE 5
025 D000003 0
025 D000004 0
025 D000005 0
025 D000006 0
025 D000007 0
025 D000008 0
026 A000000 N
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 Y
027 000000 Y
028 A010000 5016
028 A020000 0
028 A030000 0
028 A040000 8842
028 B010000 4584
028 B020000 0
028 B030000 0
028 B040000 7998
028 C010000 7384
028 C020000 0
028 C030000 0
028 C040000 10775
028 D010000 5974
028 D020000 0
028 D030000 0
028 D040000 14072
028 E010000 5758
028 E020000 0
028 E030000 0
028 E040000 13459
028 F010000 5881
028 F020000 0
028 F030000 0
028 F040000 14748
028 G010000 34597
028 G020000 0
028 G030000 0
028 G040000 69894
028 H000000 0
029 000000 N
030 A000000 0
030 B000000 0.00
030 C000000 0.00
031 A000000 0
031 B000000 0
<PAGE> PAGE 6
032 000000 0
033 000000 0
034 000000 Y
035 000000 2328
036 A000000 Y
036 B000000 0
037 000000 N
038 000000 0
039 000000 N
040 000000 Y
041 000000 Y
042 A000000 0
042 B000000 0
042 C000000 100
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
043 000000 6618
044 000000 0
045 000000 Y
046 000000 N
047 000000 Y
048 000000 0.000
048 A010000 750000
048 A020000 0.340
048 B010000 750000
048 B020000 0.300
048 C010000 0
048 C020000 0.000
048 D010000 0
048 D020000 0.000
048 E010000 0
048 E020000 0.000
048 F010000 0
048 F020000 0.000
048 G010000 0
048 G020000 0.000
048 H010000 0
048 H020000 0.000
048 I010000 0
048 I020000 0.000
048 J010000 0
048 J020000 0.000
048 K010000 0
048 K020000 0.000
049 000000 N
050 000000 N
051 000000 N
052 000000 N
<PAGE> PAGE 7
053 A000000 N
054 A000000 Y
054 B000000 Y
054 C000000 Y
054 D000000 N
054 E000000 N
054 F000000 N
054 G000000 Y
054 H000000 N
054 I000000 N
054 J000000 Y
054 K000000 N
054 L000000 Y
054 M000000 Y
054 N000000 N
054 O000000 Y
055 A000000 N
055 B000000 N
056 000000 Y
057 000000 N
058 A000000 N
059 000000 Y
060 A000000 N
060 B000000 N
061 000000 1000
062 A000000 N
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 0.0
062 F000000 0.0
062 G000000 0.0
062 H000000 0.0
062 I000000 0.0
062 J000000 0.0
062 K000000 0.0
062 L000000 0.0
062 M000000 0.0
062 N000000 0.0
062 O000000 0.0
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 0
063 B000000 0.0
066 A000000 Y
066 B000000 N
066 C000000 N
066 D000000 Y
066 E000000 N
066 F000000 N
<PAGE> PAGE 8
066 G000000 N
067 000000 N
068 A000000 N
068 B000000 N
069 000000 N
070 A010000 Y
070 A020000 Y
070 B010000 Y
070 B020000 N
070 C010000 Y
070 C020000 N
070 D010000 Y
070 D020000 N
070 E010000 Y
070 E020000 N
070 F010000 Y
070 F020000 N
070 G010000 Y
070 G020000 N
070 H010000 Y
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 Y
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 Y
070 L020000 Y
070 M010000 N
070 M020000 N
070 N010000 Y
070 N020000 N
070 O010000 Y
070 O020000 N
070 P010000 Y
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000 265973
071 B000000 265710
071 C000000 691656
071 D000000 38
072 A000000 12
072 B000000 557
072 C000000 9913
072 D000000 0
072 E000000 0
072 F000000 2396
<PAGE> PAGE 9
072 G000000 3594
072 H000000 0
072 I000000 813
072 J000000 53
072 K000000 0
072 L000000 71
072 M000000 44
072 N000000 74
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 39
072 S000000 26
072 T000000 6618
072 U000000 40
072 V000000 0
072 W000000 65
072 X000000 13833
072 Y000000 0
072 Z000000 -3363
072AA000000 24207
072BB000000 51974
072CC010000 30515
072CC020000 0
072DD010000 0
072DD020000 0
072EE000000 0
073 A010000 0.0000
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 0
074 B000000 1551
074 C000000 0
074 D000000 0
074 E000000 17243
074 F000000 666756
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 15754
074 K000000 575
074 L000000 627
074 M000000 140
074 N000000 702646
074 O000000 3221
074 P000000 2036
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
<PAGE> PAGE 10
074 R040000 39
074 S000000 0
074 T000000 697350
074 U010000 57586
074 U020000 0
074 V010000 12.11
074 V020000 0.00
074 W000000 0.0000
074 X000000 63623
074 Y000000 0
075 A000000 0
075 B000000 704776
076 000000 0.00
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 N
077 Q020000 N
077 Q030000 N
078 000000 N
080 A000000 SELECT INSURANCE COMPANY
080 C000000 20000
081 A000000 Y
081 B000000 12
082 A000000 N
082 B000000 0
083 A000000 N
083 B000000 0
084 A000000 N
084 B000000 0
085 A000000 Y
085 B000000 N
086 A010000 0
086 A020000 0
086 B010000 0
086 B020000 0
086 C010000 0
086 C020000 0
<PAGE> PAGE 11
086 D010000 0
086 D020000 0
086 E010000 0
086 E020000 0
086 F010000 0
086 F020000 0
SIGNATURE SHELDON CURTIS
TITLE VICE PRESIDENT
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
TCW\DW CORE EQUITY TRUST -- ANNUAL (3/31/95)
</LEGEND>
<CIK> 0000883679
<NAME> TCW/DW CORE EQUITY TRUST
<S> <C>
<PERIOD-TYPE> 12-MOS
<FISCAL-YEAR-END> MAR-31-1995
<PERIOD-END> MAR-31-1995
<INVESTMENTS-AT-COST> 550,072,253
<INVESTMENTS-AT-VALUE> 685,549,960
<RECEIVABLES> 16,955,741
<ASSETS-OTHER> 140,437
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 702,646,138
<PAYABLE-FOR-SECURITIES> 3,220,954
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 2,074,726
<TOTAL-LIABILITIES> 5,295,680
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 601,171,601
<SHARES-COMMON-STOCK> 57,586,091
<SHARES-COMMON-PRIOR> 58,454,278
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (39,298,850)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 135,477,707
<NET-ASSETS> 697,350,458
<DIVIDEND-INCOME> 9,912,641
<INTEREST-INCOME> 556,633
<OTHER-INCOME> 0
<EXPENSES-NET> 13,833,178
<NET-INVESTMENT-INCOME> (3,363,904)
<REALIZED-GAINS-CURRENT> (27,767,424)
<APPREC-INCREASE-CURRENT> 30,515,148
<NET-CHANGE-FROM-OPS> (616,180)
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 0
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 9,459,986
<NUMBER-OF-SHARES-REDEEMED> 10,328,173
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> (9,718,272)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (11,531,426)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 5,990,589
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 13,833,178
<AVERAGE-NET-ASSETS> 704,775,902
<PER-SHARE-NAV-BEGIN> 12.10
<PER-SHARE-NII> (0.06)
<PER-SHARE-GAIN-APPREC> 0.07
<PER-SHARE-DIVIDEND> 0
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 12.11
<EXPENSE-RATIO> 1.96
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>