
Evaluation took 22.02 seconds (3.40 disk wait).
(D3) 				      LAM6: GJC; BEGIN.OUT#>


(C5) 1/(X^3+2);

Evaluation took 0.88 seconds (0.75 disk wait).
						1
(D5) 					      ------
					       3
					      X  + 2

(C6) INTEGRATE(%,X);

Evaluation took 8.03 seconds (5.38 disk wait).
							   1/3
						    2 X - 2
					      ATAN(------------)
			 2    1/3      2/3	    1/3			    1/3
		    LOG(X  - 2	  X + 2	  )	   2    SQRT(3)	   LOG(X + 2   )
(D6) 		  - ----------------------- + ------------------ + -------------
			       2/3		  2/3			 2/3
			    6 2			 2    SQRT(3)	      3 2

(C7) DIFF(%,X);

Evaluation took 0.42 seconds (0.12 disk wait).
						     1/3
			1		      2 X - 2			    1
(D7) 	      --------------------- - --------------------------- + -----------------
			 1/3 2		 2/3   2    1/3	     2/3       2/3	 1/3
		 (2 X - 2   )	      6 2    (X  - 2    X + 2   )   3 2	   (X + 2   )
	      3 (------------- + 1)
		       2/3
		    3 2

(C8) RATSIMP(%);

Evaluation took 0.73 seconds (0.13 disk wait).
						1
(D8) 					      ------
					       3
					      X  + 2

(C9) TAYLOR(SQRT(1+X),X,0,5);

Evaluation took 0.92 seconds (0.55 disk wait).
					2    3	    4	   5
				   X   X    X	 5 X    7 X
(D9)/T/ 		       1 + - - -- + -- - ---- + ---- + . . .
				   2   8    16	 128    256

(C10) %*%;

Evaluation took 0.33 seconds (0.10 disk wait).
(D10)/T/ 				   1 + X + . . .

(C11) (X+3)^20;

Evaluation took 0.02 seconds (0.00 disk wait).
						    20
(D11) 					     (X + 3)

(C12) RAT(%);

Evaluation took 0.15 seconds (0.10 disk wait).
	  20	   19	      18	  17	       16	     15		    14
(D12)/R/ X   + 60 X   + 1710 X   + 30780 X   + 392445 X	  + 3767472 X   + 28256040 X

	      13	      12	       11		 10		   9
 + 169536240 X   + 826489170 X   + 3305956680 X	  + 10909657044 X   + 29753610120 X

		8		  7		    6		      5		        4
 + 66945622770 X  + 123591918960 X  + 185387878440 X  + 222465454128 X  + 208561363245 X

		 3		  2
 + 147219785820 X  + 73609892910 X  + 23245229340 X + 3486784401

(C13) DIFF(%,X);

Evaluation took 0.02 seconds (0.00 disk wait).
	     19	        18	    17		 16	       15	      14	      13
(D13)/R/ 20 X   + 1140 X   + 30780 X   + 523260 X   + 6279120 X	  + 56512080 X   + 395584560 X

	       12	        11		  10		     9		       8
 + 2203971120 X	  + 9917870040 X   + 36365523480 X   + 109096570440 X  + 267782491080 X

		 7		   6		      5			 4		   3
 + 535564982160 X  + 865143432720 X  + 1112327270640 X  + 1112327270640 X  + 834245452980 X

		 2
 + 441659357460 X  + 147219785820 X + 23245229340

(C14) FACTOR(%);

Evaluation took 2.03 seconds (0.17 disk wait).
						     19
(D14) 					   20 (X + 3)

(C15) FACTOR(X^3+X^2*Y^2-X*Z^2-Y^2*Z^2);

Evaluation took 0.48 seconds (0.03 disk wait).
					2
(D15) 				    - (Y  + X) (Z - X) (Z + X)

(C16) SOLVE(X^6-1);

Evaluation took 2.32 seconds (0.33 disk wait).
	   SQRT(3) %I + 1      SQRT(3) %I - 1		      SQRT(3) %I + 1
(D16) [X = --------------, X = --------------, X = - 1, X = - --------------, 
		 2		     2				    2

									     SQRT(3) %I - 1
								       X = - --------------, X = 1]
										   2

(C17) X^6-1,%[1];

Evaluation took 0.17 seconds (0.07 disk wait).
						       6
				       (SQRT(3) %I + 1)
(D17) 				       ----------------- - 1
					      64

(C18) EXPAND(%);

Evaluation took 0.22 seconds (0.00 disk wait).
(D18) 						 0

(C19) MAT:MATRIX([A,B,C],[D,E,F],[G,H,I]);

Evaluation took 0.12 seconds (0.07 disk wait).
					    [ A	 B  C ]
					    [	      ]
(D19) 					    [ D	 E  F ]
					    [	      ]
					    [ G	 H  I ]

(C20) %^^2;

Evaluation took 0.72 seconds (0.32 disk wait).
		       [	      2					   ]
		       [ C G + B D + A	  C H + B E + A B  C I + B F + A C ]
		       [						   ]
(D20) 		       [ 			 2			   ]
		       [ F G + D E + A D  F H + E  + B D   F I + E F + C D ]
		       [						   ]
		       [				    2		   ]
		       [ G I + D H + A G  H I + E H + B G  I  + F H + C G  ]

(C21) FAC(N):=IF N=0 THEN 1 ELSE N*FAC(N-1);

Evaluation took 0.13 seconds (0.12 disk wait).
(D21) 			    FAC(N) := IF N = 0 THEN 1 ELSE N FAC(N - 1)

(C22) FAC(5);

Evaluation took 0.28 seconds (0.10 disk wait).
(D22) 					        120

(C23) G(N):=SUM(I*X^I,I,0,N);

Evaluation took 0.02 seconds (0.00 disk wait).
						   I
(D23) 				    G(N) := SUM(I X , I, 0, N)

(C24) G(10);

Evaluation took 0.82 seconds (0.22 disk wait).
		    10	    9	   8	  7	 6      5      4      3	     2
(D24) 	        10 X   + 9 X  + 8 X  + 7 X  + 6 X  + 5 X  + 4 X  + 3 X  + 2 X  + X

(C25) 
Batch spent 18.80 seconds in evaluation.
Evaluation took 56.93 seconds (22.98 disk wait).
(D25) 					       FALSE


Evaluation took 0.00 seconds (0.00 disk wait).
(D25) 				  BATCH(max$disk:[demo]begin.dem)


(C27) 1/(X^3+2);

Evaluation took 0.03 seconds (0.00 disk wait).
						1
(D27) 					      ------
					       3
					      X  + 2

(C28) INTEGRATE(%,X);

Evaluation took 1.93 seconds (0.03 disk wait).
							   1/3
						    2 X - 2
					      ATAN(------------)
			 2    1/3      2/3	    1/3			    1/3
		    LOG(X  - 2	  X + 2	  )	   2    SQRT(3)	   LOG(X + 2   )
(D28) 		  - ----------------------- + ------------------ + -------------
			       2/3		  2/3			 2/3
			    6 2			 2    SQRT(3)	      3 2

(C29) DIFF(%,X);

Evaluation took 0.35 seconds (0.03 disk wait).
						     1/3
			1		      2 X - 2			    1
(D29) 	      --------------------- - --------------------------- + -----------------
			 1/3 2		 2/3   2    1/3	     2/3       2/3	 1/3
		 (2 X - 2   )	      6 2    (X  - 2    X + 2   )   3 2	   (X + 2   )
	      3 (------------- + 1)
		       2/3
		    3 2

(C30) RATSIMP(%);

Evaluation took 0.60 seconds (0.00 disk wait).
						1
(D30) 					      ------
					       3
					      X  + 2

(C31) TAYLOR(SQRT(1+X),X,0,5);

Evaluation took 0.25 seconds (0.00 disk wait).
					2    3	    4	   5
				   X   X    X	 5 X    7 X
(D31)/T/ 		       1 + - - -- + -- - ---- + ---- + . . .
				   2   8    16	 128    256

(C32) %*%;

Evaluation took 0.23 seconds (0.00 disk wait).
(D32)/T/ 				   1 + X + . . .

(C33) (X+3)^20;

Evaluation took 0.02 seconds (0.00 disk wait).
						    20
(D33) 					     (X + 3)

(C34) RAT(%);

Evaluation took 0.07 seconds (0.00 disk wait).
	  20	   19	      18	  17	       16	     15		    14
(D34)/R/ X   + 60 X   + 1710 X   + 30780 X   + 392445 X	  + 3767472 X   + 28256040 X

	      13	      12	       11		 10		   9
 + 169536240 X   + 826489170 X   + 3305956680 X	  + 10909657044 X   + 29753610120 X

		8		  7		    6		      5		        4
 + 66945622770 X  + 123591918960 X  + 185387878440 X  + 222465454128 X  + 208561363245 X

		 3		  2
 + 147219785820 X  + 73609892910 X  + 23245229340 X + 3486784401

(C35) DIFF(%,X);

Evaluation took 0.03 seconds (0.00 disk wait).
	     19	        18	    17		 16	       15	      14	      13
(D35)/R/ 20 X   + 1140 X   + 30780 X   + 523260 X   + 6279120 X	  + 56512080 X   + 395584560 X

	       12	        11		  10		     9		       8
 + 2203971120 X	  + 9917870040 X   + 36365523480 X   + 109096570440 X  + 267782491080 X

		 7		   6		      5			 4		   3
 + 535564982160 X  + 865143432720 X  + 1112327270640 X  + 1112327270640 X  + 834245452980 X

		 2
 + 441659357460 X  + 147219785820 X + 23245229340

(C36) FACTOR(%);

Evaluation took 2.17 seconds (0.32 disk wait).
						     19
(D36) 					   20 (X + 3)

(C37) FACTOR(X^3+X^2*Y^2-X*Z^2-Y^2*Z^2);

Evaluation took 0.43 seconds (0.00 disk wait).
					2
(D37) 				    - (Y  + X) (Z - X) (Z + X)

(C38) SOLVE(X^6-1);

Evaluation took 2.10 seconds (0.13 disk wait).
	   SQRT(3) %I + 1      SQRT(3) %I - 1		      SQRT(3) %I + 1
(D38) [X = --------------, X = --------------, X = - 1, X = - --------------, 
		 2		     2				    2

									     SQRT(3) %I - 1
								       X = - --------------, X = 1]
										   2

(C39) X^6-1,%[1];

Evaluation took 0.10 seconds (0.00 disk wait).
						       6
				       (SQRT(3) %I + 1)
(D39) 				       ----------------- - 1
					      64

(C40) EXPAND(%);

Evaluation took 0.23 seconds (0.02 disk wait).
(D40) 						 0

(C41) MAT:MATRIX([A,B,C],[D,E,F],[G,H,I]);

Evaluation took 0.02 seconds (0.00 disk wait).
					    [ A	 B  C ]
					    [	      ]
(D41) 					    [ D	 E  F ]
					    [	      ]
					    [ G	 H  I ]

(C42) %^^2;

Evaluation took 0.28 seconds (0.00 disk wait).
		       [	      2					   ]
		       [ C G + B D + A	  C H + B E + A B  C I + B F + A C ]
		       [						   ]
(D42) 		       [ 			 2			   ]
		       [ F G + D E + A D  F H + E  + B D   F I + E F + C D ]
		       [						   ]
		       [				    2		   ]
		       [ G I + D H + A G  H I + E H + B G  I  + F H + C G  ]

(C43) FAC(N):=IF N=0 THEN 1 ELSE N*FAC(N-1);

Evaluation took 0.02 seconds (0.00 disk wait).
(D43) 			    FAC(N) := IF N = 0 THEN 1 ELSE N FAC(N - 1)

(C44) FAC(5);

Evaluation took 0.17 seconds (0.03 disk wait).
(D44) 					        120

(C45) G(N):=SUM(I*X^I,I,0,N);

Evaluation took 0.00 seconds (0.00 disk wait).
						   I
(D45) 				    G(N) := SUM(I X , I, 0, N)

(C46) G(10);

Evaluation took 0.65 seconds (0.05 disk wait).
		    10	    9	   8	  7	 6      5      4      3	     2
(D46) 	        10 X   + 9 X  + 8 X  + 7 X  + 6 X  + 5 X  + 4 X  + 3 X  + 2 X  + X

(C47) 
Batch spent 9.68 seconds in evaluation.
Evaluation took 29.13 seconds (1.63 disk wait).
(D47) 					       FALSE


(C48) 1/(X^3+2);

Evaluation took 0.05 seconds (0.02 disk wait).
						1
(D48) 					      ------
					       3
					      X  + 2

(C49) INTEGRATE(%,X);

Evaluation took 1.98 seconds (0.13 disk wait).
							   1/3
						    2 X - 2
					      ATAN(------------)
			 2    1/3      2/3	    1/3			    1/3
		    LOG(X  - 2	  X + 2	  )	   2    SQRT(3)	   LOG(X + 2   )
(D49) 		  - ----------------------- + ------------------ + -------------
			       2/3		  2/3			 2/3
			    6 2			 2    SQRT(3)	      3 2

(C50) DIFF(%,X);

Evaluation took 0.33 seconds (0.00 disk wait).
						     1/3
			1		      2 X - 2			    1
(D50) 	      --------------------- - --------------------------- + -----------------
			 1/3 2		 2/3   2    1/3	     2/3       2/3	 1/3
		 (2 X - 2   )	      6 2    (X  - 2    X + 2   )   3 2	   (X + 2   )
	      3 (------------- + 1)
		       2/3
		    3 2

(C51) RATSIMP(%);

Evaluation took 0.58 seconds (0.00 disk wait).
						1
(D51) 					      ------
					       3
					      X  + 2

(C52) TAYLOR(SQRT(1+X),X,0,5);

Evaluation took 0.23 seconds (0.00 disk wait).
					2    3	    4	   5
				   X   X    X	 5 X    7 X
(D52)/T/ 		       1 + - - -- + -- - ---- + ---- + . . .
				   2   8    16	 128    256

(C53) %*%;

Evaluation took 0.22 seconds (0.00 disk wait).
(D53)/T/ 				   1 + X + . . .

(C54) (X+3)^20;

Evaluation took 0.02 seconds (0.00 disk wait).
						    20
(D54) 					     (X + 3)

(C55) RAT(%);

Evaluation took 0.05 seconds (0.00 disk wait).
	  20	   19	      18	  17	       16	     15		    14
(D55)/R/ X   + 60 X   + 1710 X   + 30780 X   + 392445 X	  + 3767472 X   + 28256040 X

	      13	      12	       11		 10		   9
 + 169536240 X   + 826489170 X   + 3305956680 X	  + 10909657044 X   + 29753610120 X

		8		  7		    6		      5		        4
 + 66945622770 X  + 123591918960 X  + 185387878440 X  + 222465454128 X  + 208561363245 X

		 3		  2
 + 147219785820 X  + 73609892910 X  + 23245229340 X + 3486784401

(C56) DIFF(%,X);

Evaluation took 0.03 seconds (0.00 disk wait).
	     19	        18	    17		 16	       15	      14	      13
(D56)/R/ 20 X   + 1140 X   + 30780 X   + 523260 X   + 6279120 X	  + 56512080 X   + 395584560 X

	       12	        11		  10		     9		       8
 + 2203971120 X	  + 9917870040 X   + 36365523480 X   + 109096570440 X  + 267782491080 X

		 7		   6		      5			 4		   3
 + 535564982160 X  + 865143432720 X  + 1112327270640 X  + 1112327270640 X  + 834245452980 X

		 2
 + 441659357460 X  + 147219785820 X + 23245229340

(C57) FACTOR(%);

Evaluation took 1.83 seconds (0.07 disk wait).
						     19
(D57) 					   20 (X + 3)

(C58) FACTOR(X^3+X^2*Y^2-X*Z^2-Y^2*Z^2);

Evaluation took 0.48 seconds (0.00 disk wait).
					2
(D58) 				    - (Y  + X) (Z - X) (Z + X)

(C59) SOLVE(X^6-1);

Evaluation took 2.00 seconds (0.03 disk wait).
	   SQRT(3) %I + 1      SQRT(3) %I - 1		      SQRT(3) %I + 1
(D59) [X = --------------, X = --------------, X = - 1, X = - --------------, 
		 2		     2				    2

									     SQRT(3) %I - 1
								       X = - --------------, X = 1]
										   2

(C60) X^6-1,%[1];

Evaluation took 0.10 seconds (0.00 disk wait).
						       6
				       (SQRT(3) %I + 1)
(D60) 				       ----------------- - 1
					      64

(C61) EXPAND(%);

Evaluation took 0.20 seconds (0.00 disk wait).
(D61) 						 0

(C62) MAT:MATRIX([A,B,C],[D,E,F],[G,H,I]);

Evaluation took 0.03 seconds (0.00 disk wait).
					    [ A	 B  C ]
					    [	      ]
(D62) 					    [ D	 E  F ]
					    [	      ]
					    [ G	 H  I ]

(C63) %^^2;

Evaluation took 0.33 seconds (0.05 disk wait).
		       [	      2					   ]
		       [ C G + B D + A	  C H + B E + A B  C I + B F + A C ]
		       [						   ]
(D63) 		       [ 			 2			   ]
		       [ F G + D E + A D  F H + E  + B D   F I + E F + C D ]
		       [						   ]
		       [				    2		   ]
		       [ G I + D H + A G  H I + E H + B G  I  + F H + C G  ]

(C64) FAC(N):=IF N=0 THEN 1 ELSE N*FAC(N-1);

Evaluation took 0.00 seconds (0.00 disk wait).
(D64) 			    FAC(N) := IF N = 0 THEN 1 ELSE N FAC(N - 1)

(C65) FAC(5);

Evaluation took 0.17 seconds (0.02 disk wait).
(D65) 					        120

(C66) G(N):=SUM(I*X^I,I,0,N);

Evaluation took 0.02 seconds (0.00 disk wait).
						   I
(D66) 				    G(N) := SUM(I X , I, 0, N)

(C67) G(10);

Evaluation took 0.78 seconds (0.13 disk wait).
		    10	    9	   8	  7	 6      5      4      3	     2
(D67) 	        10 X   + 9 X  + 8 X  + 7 X  + 6 X  + 5 X  + 4 X  + 3 X  + 2 X  + X

(C68) 
Batch spent 9.45 seconds in evaluation.
Evaluation took 22.57 seconds (1.30 disk wait).
(D68) 					       FALSE

