UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549
FORM 24F-2
Annual Notice of Securities Sold
Pursuant to Rule 24f-2

Read instructions at end of Form before preparing Form. Please print or type.

1. Name and address of issuer:

Dreyfus Premier Core Equity Fund (Formerly Dreyfus Tax-Smart Growth Fund) 200 Park Avenue New York, NY 10166

2.      The name of each series or class of securities for which this Form is filed (If the form is being filed for all series and classes of securities of the issuer, check the

box but do not list series or classes): [ X ]

3.      Investment Company Act File Number:811-5270 Securities Act File Number: 33-16338

4(a).	Last day of fiscal year for which this notice is filed:
	August 31, 2005
4(b).	[ ] Check box if this Form is being filed late (i.e. more than 90 calendar days after
	the end of the issuer’s fiscal year). (See Instruction A.2)
Note:	If the Form is being filed late, interest must be paid on the registration fee due.

4(c). [ ] Check box if this is the last time the issuer will be filing this Form.

Dreyfus Premier Core Equity Fund – Class A
5. Calculation of registration fee:

(I)	Aggregate sale price of securities sold during the		$19,331,424
	fiscal year pursuant to section 24(f):		---------------
(ii)	Aggregate price of securities redeemed or	$33,105,895
	repurchased during the fiscal year:		---------------
(iii)	Aggregate price of securities redeemed or	$	-0-
	repurchased during any PRIOR fiscal year ending no		---------------
	earlier than October 11, 1995 that were not
	previously used to reduce registration fees payable
	to the Commission:
(iv)	Total available redemption credits [add Items 5(ii)		-$ 33,105,895
	and 5(iii):		--------------
(v)	Net Sales - if Item 5(I) is greater than Item 5(iv)		$
	[subtract Item 5(iv) from Item 5(i)]:		---------------
(vi)	Redemption credits available for use in future	$( 13,774,471 )
	years -- if Item 5(i) is less than Item 5(iv)		---------------
	[subtract Item 5(iv) from Item 5(I)]:

(vii)	Multiplier for determining registration fee (See	X .0001177
	Instruction C.9):	--------------
(viii)	Registration fee due (multiply Item 5(v) by Item	=$-0-
	5(vii) (enter “0” if no fee is due):	==============

6.

If the response to item 5(i) was determined by deducting an amount of securities that were registered under the Securities Act of 1933 pursuant to rule 24e-2 in effect before October 11, 1997, then report the amount of securities (number of shares or other units) deducted here: -0-. If there is a number of shares or other units that were registered pursuant to rule 24e-2 remaining unsold at the end of the fiscal year for which this form is filed that are available for use by the issuer in future fiscal years, then state that number here: -0-.

7.

Interest due -- if this Form is being filed more than 90 days after the end of the issuer’s fiscal year (See Instruction D):

+$ N/A

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

8.      Total of the amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:

=$ -0-
=============

Dreyfus Premier Core Equity Fund – Class B
5. Calculation of registration fee:

(I)	Aggregate sale price of securities sold during the		$4,563,574
	fiscal year pursuant to section 24(f):		---------------
(ii)	Aggregate price of securities redeemed or	$9,210,725
	repurchased during the fiscal year:	-------------
(iii)	Aggregate price of securities redeemed or	$	-0-
	repurchased during any PRIOR fiscal year ending no		---------------
	earlier than October 11, 1995 that were not
	previously used to reduce registration fees payable
	to the Commission:
(iv)	Total available redemption credits [add Items 5(ii)		-$ 9,210,725
	and 5(iii):			--------------
(v)	Net Sales - if Item 5(I) is greater than Item 5(iv)		$
	[subtract Item 5(iv) from Item 5(i)]:		---------------
(vi)	Redemption credits available for use in future	$(4,647,151 )
	years -- if Item 5(i) is less than Item 5(iv)		---------------
	[subtract Item 5(iv) from Item 5(I)]:
(vii)	Multiplier for determining registration fee (See		X	.0001177
	Instruction C.9):			--------------
(viii)	Registration fee due (multiply Item 5(v) by Item		=$	-0-
	5(vii) (enter “0” if no fee is due):			==============

6.      If the response to item 5(i) was determined by deducting an amount of securities that were registered under the Securities Act of 1933 pursuant to rule 24e-2 in effect before October 11, 1997, then report the amount of securities (number of shares or other units) deducted here: -0-. If there is a number of shares or other units that were registered pursuant to rule 24e-2 remaining unsold at the end of the fiscal year

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	for which this form is filed that are available for use by the issuer in future fiscal years, then state that number here: -0-.
7.	Interest due -- if this Form is being filed more than 90 days after the end of the issuer’s fiscal year (See Instruction D):

+$ N/A

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

8.      Total of the amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:

=$ -0-
=============

Dreyfus Premier Core Equity Fund – Class C
5. Calculation of registration fee:

(I)	Aggregate sale price of securities sold during the		$15,977,417
	fiscal year pursuant to section 24(f):		---------------
(ii)	Aggregate price of securities redeemed or	$22,033,061
	repurchased during the fiscal year:		---------------
(iii)	Aggregate price of securities redeemed or	$	-0-
	repurchased during any PRIOR fiscal year ending no		---------------
	earlier than October 11, 1995 that were not
	previously used to reduce registration fees payable
	to the Commission:
(iv)	Total available redemption credits [add Items 5(ii)		-$ 22,033,061
	and 5(iii):			--------------
(v)	Net Sales - if Item 5(I) is greater than Item 5(iv)		$
	[subtract Item 5(iv) from Item 5(i)]:		---------------
(vi)	Redemption credits available for use in future	$(6,055,644 )
	years -- if Item 5(i) is less than Item 5(iv)		---------------
	[subtract Item 5(iv) from Item 5(I)]:
(vii)	Multiplier for determining registration fee (See		X	.0001177
	Instruction C.9):			--------------
(viii)	Registration fee due (multiply Item 5(v) by Item		=$	-0-
	5(vii) (enter “0” if no fee is due):			==============

6.

If the response to item 5(i) was determined by deducting an amount of securities that were registered under the Securities Act of 1933 pursuant to rule 24e-2 in effect before October 11, 1997, then report the amount of securities (number of shares or other units) deducted here: -0-. If there is a number of shares or other units that were registered pursuant to rule 24e-2 remaining unsold at the end of the fiscal year for which this form is filed that are available for use by the issuer in future fiscal years, then state that number here: -0-.

7.

Interest due -- if this Form is being filed more than 90 days after the end of the issuer’s fiscal year (See Instruction D):

+$ N/A

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

8.      Total of the amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:

=$ -0-

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=============

Dreyfus Premier Core Equity Fund – Class R
5. Calculation of registration fee:

(I)	Aggregate sale price of securities sold during the		$	107,165
	fiscal year pursuant to section 24(f):		---------------
(ii)	Aggregate price of securities redeemed or	$	612,121
	repurchased during the fiscal year:		---------------
(iii)	Aggregate price of securities redeemed or	$	-0-
	repurchased during any PRIOR fiscal year ending no		---------------
	earlier than October 11, 1995 that were not
	previously used to reduce registration fees payable
	to the Commission:
(iv)	Total available redemption credits [add Items 5(ii)		-$ 612,121
	and 5(iii):			--------------
(v)	Net Sales - if Item 5(I) is greater than Item 5(iv)		$
	[subtract Item 5(iv) from Item 5(i)]:		---------------
(vi)	Redemption credits available for use in future	$(504,956 )
	years -- if Item 5(i) is less than Item 5(iv)		---------------
	[subtract Item 5(iv) from Item 5(I)]:
(vii)	Multiplier for determining registration fee (See		X	.0001177
	Instruction C.9):			--------------
(viii)	Registration fee due (multiply Item 5(v) by Item		=$	-0-
	5(vii) (enter “0” if no fee is due):
				==============

6.	If the response to item 5(i) was determined by deducting an amount of securities that were registered under the Securities Act of 1933 pursuant to rule 24e-2 in effect before October 11, 1997, then report the amount of securities (number of shares or other units) deducted here: -0-. If there is a number of shares or other units that were registered pursuant to rule 24e-2 remaining unsold at the end of the fiscal year for which this form is filed that are available for use by the issuer in future fiscal years, then state that number here: -0-.
7.	Interest due -- if this Form is being filed more than 90 days after the end of the issuer’s fiscal year (See Instruction D):
8.	Total of the amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:

-0-
-------------

Dreyfus Premier Core Equity Fund – Class T
5. Calculation of registration fee:

(I)	Aggregate sale price of securities sold during the	$550,686
	fiscal year pursuant to section 24(f):	---------------
(ii)	Aggregate price of securities redeemed or	$ 180,374
	repurchased during the fiscal year:	---------------
(iii)	Aggregate price of securities redeemed or	$ -0-

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	repurchased during any PRIOR fiscal year ending no	---------------
	earlier than October 11, 1995 that were not
	previously used to reduce registration fees payable
	to the Commission:
(iv)	Total available redemption credits [add Items 5(ii)	-$ 180,374
	and 5(iii):	--------------
(v)	Net Sales - if Item 5(I) is greater than Item 5(iv)	$ 370,312
	[subtract Item 5(iv) from Item 5(i)]:	---------------
(vi)	Redemption credits available for use in future	$( -0- )
	years -- if Item 5(i) is less than Item 5(iv)	---------------
	[subtract Item 5(iv) from Item 5(I)]:
(vii)	Multiplier for determining registration fee (See	X .0001177
	Instruction C.9):	--------------
(viii)	Registration fee due (multiply Item 5(v) by Item	=$43.59
	5(vii) (enter “0” if no fee is due):	==============

6.

If the response to item 5(i) was determined by deducting an amount of securities that were registered under the Securities Act of 1933 pursuant to rule 24e-2 in effect before October 11, 1997, then report the amount of securities (number of shares or other units) deducted here: -0-. If there is a number of shares or other units that were registered pursuant to rule 24e-2 remaining unsold at the end of the fiscal year for which this form is filed that are available for use by the issuer in future fiscal years, then state that number here: -0-.

7.

Interest due -- if this Form is being filed more than 90 days after the end of the issuer’s fiscal year (See Instruction D):

+$ N/A

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

8.      Total of the amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:

=$ 43.59
=============

TOTAL FOR ALL:

=$ 43.59
=============

9.	Date the registration fee and interest payment was sent to the Commission’s lockbox
depository:
	Method of Delivery:
	[	X ]	Wire Transfer
	[	]	Mail or other means
			SIGNATURES

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This report has been signed below by the following person on behalf of the issuer and in the capacity and on the date indicated.

By (Signature and Title)*

Date: November 8, 2005

/s/ Jeff Prusnofsky 

Jeff Prusnofsky, Assistant Secretary 

* Please print the name and title of the signing officer below the signature.

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