Index
stringlengths 1
5
| Challenge
stringlengths 41
1.55k
| Answer in Latex
stringclasses 122
values | Answer in Sympy
stringlengths 1
774
| Variation
stringclasses 31
values | Source
stringclasses 61
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|---|---|---|---|---|---|
16401
|
What is the integral of
$ \left(26\right) ( \left(69\right) x+4 \left(12\right) ) (3 \left(69\right) x+4 \left(12\right) ) e^{ \left(35\right) x ( \left(69\right) x+4 \left(12\right) )^2} $
|
e**(x*(x*69 + 4*12)**2*35)*35**(-1)*26
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16402
|
What is the integral of
$ \left(97\right) ( \left(21\right) x+4 \left(52\right) ) (3 \left(21\right) x+4 \left(52\right) ) e^{ \left(52\right) x ( \left(21\right) x+4 \left(52\right) )^2} $
|
e**(x*(x*21 + 4*52)**2*52)*52**(-1)*97
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16403
|
What is the integral of
$ \left(37\right) ( \left(99\right) x+4 \left(57\right) ) (3 \left(99\right) x+4 \left(57\right) ) e^{ \left(39\right) x ( \left(99\right) x+4 \left(57\right) )^2} $
|
e**(x*(x*99 + 4*57)**2*39)*39**(-1)*37
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16404
|
What is the integral of
$ \left(63\right) ( \left(70\right) x+4 \left(45\right) ) (3 \left(70\right) x+4 \left(45\right) ) e^{ \left(69\right) x ( \left(70\right) x+4 \left(45\right) )^2} $
|
e**(x*(x*70 + 4*45)**2*69)*69**(-1)*63
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16405
|
What is the integral of
$ \left(15\right) ( \left(95\right) x+4 \left(79\right) ) (3 \left(95\right) x+4 \left(79\right) ) e^{ \left(59\right) x ( \left(95\right) x+4 \left(79\right) )^2} $
|
e**(x*(x*95 + 4*79)**2*59)*59**(-1)*15
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16406
|
What is the integral of
$ \left(98\right) ( \left(58\right) x+4 \left(16\right) ) (3 \left(58\right) x+4 \left(16\right) ) e^{ \left(25\right) x ( \left(58\right) x+4 \left(16\right) )^2} $
|
e**(x*(x*58 + 4*16)**2*25)*25**(-1)*98
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16407
|
What is the integral of
$ \left(54\right) ( \left(28\right) x+4 \left(92\right) ) (3 \left(28\right) x+4 \left(92\right) ) e^{ \left(20\right) x ( \left(28\right) x+4 \left(92\right) )^2} $
|
e**(x*(x*28 + 4*92)**2*20)*20**(-1)*54
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16408
|
What is the integral of
$ \left(12\right) ( \left(92\right) x+4 \left(90\right) ) (3 \left(92\right) x+4 \left(90\right) ) e^{ \left(57\right) x ( \left(92\right) x+4 \left(90\right) )^2} $
|
e**(x*(x*92 + 4*90)**2*57)*57**(-1)*12
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16409
|
What is the integral of
$ \left(67\right) ( \left(34\right) x+4 \left(67\right) ) (3 \left(34\right) x+4 \left(67\right) ) e^{ \left(16\right) x ( \left(34\right) x+4 \left(67\right) )^2} $
|
e**(x*(x*34 + 4*67)**2*16)*16**(-1)*67
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16410
|
What is the integral of
$ \left(11\right) ( \left(60\right) x+4 \left(92\right) ) (3 \left(60\right) x+4 \left(92\right) ) e^{ \left(62\right) x ( \left(60\right) x+4 \left(92\right) )^2} $
|
e**(x*(x*60 + 4*92)**2*62)*62**(-1)*11
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16411
|
What is the integral of
$ \left(91\right) ( \left(67\right) x+4 \left(53\right) ) (3 \left(67\right) x+4 \left(53\right) ) e^{ \left(47\right) x ( \left(67\right) x+4 \left(53\right) )^2} $
|
e**(x*(x*67 + 4*53)**2*47)*47**(-1)*91
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16412
|
What is the integral of
$ \left(24\right) ( \left(51\right) x+4 \left(30\right) ) (3 \left(51\right) x+4 \left(30\right) ) e^{ \left(11\right) x ( \left(51\right) x+4 \left(30\right) )^2} $
|
e**(x*(x*51 + 4*30)**2*11)*11**(-1)*24
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16413
|
What is the integral of
$ \left(93\right) ( \left(89\right) x+4 \left(91\right) ) (3 \left(89\right) x+4 \left(91\right) ) e^{ \left(40\right) x ( \left(89\right) x+4 \left(91\right) )^2} $
|
e**(x*(x*89 + 4*91)**2*40)*40**(-1)*93
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16414
|
What is the integral of
$ \left(97\right) ( \left(46\right) x+4 \left(49\right) ) (3 \left(46\right) x+4 \left(49\right) ) e^{ \left(57\right) x ( \left(46\right) x+4 \left(49\right) )^2} $
|
e**(x*(x*46 + 4*49)**2*57)*57**(-1)*97
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16415
|
What is the integral of
$ \left(41\right) ( \left(14\right) x+4 \left(98\right) ) (3 \left(14\right) x+4 \left(98\right) ) e^{ \left(34\right) x ( \left(14\right) x+4 \left(98\right) )^2} $
|
e**(x*(x*14 + 4*98)**2*34)*34**(-1)*41
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16416
|
What is the integral of
$ \left(48\right) ( \left(54\right) x+4 \left(40\right) ) (3 \left(54\right) x+4 \left(40\right) ) e^{ \left(22\right) x ( \left(54\right) x+4 \left(40\right) )^2} $
|
e**(x*(x*54 + 4*40)**2*22)*22**(-1)*48
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16417
|
What is the integral of
$ \left(97\right) ( \left(56\right) x+4 \left(42\right) ) (3 \left(56\right) x+4 \left(42\right) ) e^{ \left(25\right) x ( \left(56\right) x+4 \left(42\right) )^2} $
|
e**(x*(x*56 + 4*42)**2*25)*25**(-1)*97
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16418
|
What is the integral of
$ \left(75\right) ( \left(82\right) x+4 \left(34\right) ) (3 \left(82\right) x+4 \left(34\right) ) e^{ \left(29\right) x ( \left(82\right) x+4 \left(34\right) )^2} $
|
e**(x*(x*82 + 4*34)**2*29)*29**(-1)*75
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16419
|
What is the integral of
$ \left(24\right) ( \left(52\right) x+4 \left(84\right) ) (3 \left(52\right) x+4 \left(84\right) ) e^{ \left(85\right) x ( \left(52\right) x+4 \left(84\right) )^2} $
|
e**(x*(x*52 + 4*84)**2*85)*85**(-1)*24
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16420
|
What is the integral of
$ \left(48\right) ( \left(71\right) x+4 \left(78\right) ) (3 \left(71\right) x+4 \left(78\right) ) e^{ \left(78\right) x ( \left(71\right) x+4 \left(78\right) )^2} $
|
e**(x*(x*71 + 4*78)**2*78)*78**(-1)*48
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16421
|
What is the integral of
$ \left(89\right) ( \left(49\right) x+4 \left(62\right) ) (3 \left(49\right) x+4 \left(62\right) ) e^{ \left(83\right) x ( \left(49\right) x+4 \left(62\right) )^2} $
|
e**(x*(x*49 + 4*62)**2*83)*83**(-1)*89
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16422
|
What is the integral of
$ \left(27\right) ( \left(79\right) x+4 \left(49\right) ) (3 \left(79\right) x+4 \left(49\right) ) e^{ \left(77\right) x ( \left(79\right) x+4 \left(49\right) )^2} $
|
e**(x*(x*79 + 4*49)**2*77)*77**(-1)*27
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16423
|
What is the integral of
$ \left(13\right) ( \left(12\right) x+4 \left(85\right) ) (3 \left(12\right) x+4 \left(85\right) ) e^{ \left(46\right) x ( \left(12\right) x+4 \left(85\right) )^2} $
|
e**(x*(x*12 + 4*85)**2*46)*46**(-1)*13
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16424
|
What is the integral of
$ \left(92\right) ( \left(76\right) x+4 \left(50\right) ) (3 \left(76\right) x+4 \left(50\right) ) e^{ \left(68\right) x ( \left(76\right) x+4 \left(50\right) )^2} $
|
e**(x*(x*76 + 4*50)**2*68)*68**(-1)*92
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16425
|
What is the integral of
$ \left(63\right) ( \left(49\right) x+4 \left(81\right) ) (3 \left(49\right) x+4 \left(81\right) ) e^{ \left(80\right) x ( \left(49\right) x+4 \left(81\right) )^2} $
|
e**(x*(x*49 + 4*81)**2*80)*80**(-1)*63
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16426
|
What is the integral of
$ \left(99\right) ( \left(26\right) x+4 \left(84\right) ) (3 \left(26\right) x+4 \left(84\right) ) e^{ \left(15\right) x ( \left(26\right) x+4 \left(84\right) )^2} $
|
e**(x*(x*26 + 4*84)**2*15)*15**(-1)*99
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16427
|
What is the integral of
$ \left(17\right) ( \left(16\right) x+4 \left(99\right) ) (3 \left(16\right) x+4 \left(99\right) ) e^{ \left(73\right) x ( \left(16\right) x+4 \left(99\right) )^2} $
|
e**(x*(x*16 + 4*99)**2*73)*73**(-1)*17
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16428
|
What is the integral of
$ \left(46\right) ( \left(48\right) x+4 \left(70\right) ) (3 \left(48\right) x+4 \left(70\right) ) e^{ \left(77\right) x ( \left(48\right) x+4 \left(70\right) )^2} $
|
e**(x*(x*48 + 4*70)**2*77)*77**(-1)*46
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16429
|
What is the integral of
$ \left(44\right) ( \left(91\right) x+4 \left(15\right) ) (3 \left(91\right) x+4 \left(15\right) ) e^{ \left(14\right) x ( \left(91\right) x+4 \left(15\right) )^2} $
|
e**(x*(x*91 + 4*15)**2*14)*14**(-1)*44
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16430
|
What is the integral of
$ \left(23\right) ( \left(35\right) x+4 \left(90\right) ) (3 \left(35\right) x+4 \left(90\right) ) e^{ \left(92\right) x ( \left(35\right) x+4 \left(90\right) )^2} $
|
e**(x*(x*35 + 4*90)**2*92)*92**(-1)*23
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16431
|
What is the integral of
$ \left(87\right) ( \left(43\right) x+4 \left(56\right) ) (3 \left(43\right) x+4 \left(56\right) ) e^{ \left(35\right) x ( \left(43\right) x+4 \left(56\right) )^2} $
|
e**(x*(x*43 + 4*56)**2*35)*35**(-1)*87
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16432
|
What is the integral of
$ \left(50\right) ( \left(75\right) x+4 \left(87\right) ) (3 \left(75\right) x+4 \left(87\right) ) e^{ \left(56\right) x ( \left(75\right) x+4 \left(87\right) )^2} $
|
e**(x*(x*75 + 4*87)**2*56)*56**(-1)*50
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16433
|
What is the integral of
$ \left(43\right) ( \left(94\right) x+4 \left(54\right) ) (3 \left(94\right) x+4 \left(54\right) ) e^{ \left(81\right) x ( \left(94\right) x+4 \left(54\right) )^2} $
|
e**(x*(x*94 + 4*54)**2*81)*81**(-1)*43
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16434
|
What is the integral of
$ \left(35\right) ( \left(50\right) x+4 \left(68\right) ) (3 \left(50\right) x+4 \left(68\right) ) e^{ \left(16\right) x ( \left(50\right) x+4 \left(68\right) )^2} $
|
e**(x*(x*50 + 4*68)**2*16)*16**(-1)*35
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16435
|
What is the integral of
$ \left(37\right) ( \left(70\right) x+4 \left(46\right) ) (3 \left(70\right) x+4 \left(46\right) ) e^{ \left(41\right) x ( \left(70\right) x+4 \left(46\right) )^2} $
|
e**(x*(x*70 + 4*46)**2*41)*41**(-1)*37
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16436
|
What is the integral of
$ \left(18\right) ( \left(67\right) x+4 \left(75\right) ) (3 \left(67\right) x+4 \left(75\right) ) e^{ \left(81\right) x ( \left(67\right) x+4 \left(75\right) )^2} $
|
e**(x*(x*67 + 4*75)**2*81)*81**(-1)*18
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16437
|
What is the integral of
$ \left(68\right) ( \left(74\right) x+4 \left(97\right) ) (3 \left(74\right) x+4 \left(97\right) ) e^{ \left(14\right) x ( \left(74\right) x+4 \left(97\right) )^2} $
|
e**(x*(x*74 + 4*97)**2*14)*14**(-1)*68
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16438
|
What is the integral of
$ \left(36\right) ( \left(20\right) x+4 \left(82\right) ) (3 \left(20\right) x+4 \left(82\right) ) e^{ \left(21\right) x ( \left(20\right) x+4 \left(82\right) )^2} $
|
e**(x*(x*20 + 4*82)**2*21)*21**(-1)*36
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16439
|
What is the integral of
$ \left(54\right) ( \left(66\right) x+4 \left(61\right) ) (3 \left(66\right) x+4 \left(61\right) ) e^{ \left(30\right) x ( \left(66\right) x+4 \left(61\right) )^2} $
|
e**(x*(x*66 + 4*61)**2*30)*30**(-1)*54
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16440
|
What is the integral of
$ \left(88\right) ( \left(90\right) x+4 \left(89\right) ) (3 \left(90\right) x+4 \left(89\right) ) e^{ \left(92\right) x ( \left(90\right) x+4 \left(89\right) )^2} $
|
e**(x*(x*90 + 4*89)**2*92)*92**(-1)*88
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16441
|
What is the integral of
$ \left(61\right) ( \left(10\right) x+4 \left(85\right) ) (3 \left(10\right) x+4 \left(85\right) ) e^{ \left(25\right) x ( \left(10\right) x+4 \left(85\right) )^2} $
|
e**(x*(x*10 + 4*85)**2*25)*25**(-1)*61
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16442
|
What is the integral of
$ \left(49\right) ( \left(34\right) x+4 \left(97\right) ) (3 \left(34\right) x+4 \left(97\right) ) e^{ \left(74\right) x ( \left(34\right) x+4 \left(97\right) )^2} $
|
e**(x*(x*34 + 4*97)**2*74)*74**(-1)*49
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16443
|
What is the integral of
$ \left(87\right) ( \left(35\right) x+4 \left(28\right) ) (3 \left(35\right) x+4 \left(28\right) ) e^{ \left(68\right) x ( \left(35\right) x+4 \left(28\right) )^2} $
|
e**(x*(x*35 + 4*28)**2*68)*68**(-1)*87
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16444
|
What is the integral of
$ \left(94\right) ( \left(16\right) x+4 \left(70\right) ) (3 \left(16\right) x+4 \left(70\right) ) e^{ \left(32\right) x ( \left(16\right) x+4 \left(70\right) )^2} $
|
e**(x*(x*16 + 4*70)**2*32)*32**(-1)*94
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16445
|
What is the integral of
$ \left(23\right) ( \left(45\right) x+4 \left(85\right) ) (3 \left(45\right) x+4 \left(85\right) ) e^{ \left(21\right) x ( \left(45\right) x+4 \left(85\right) )^2} $
|
e**(x*(x*45 + 4*85)**2*21)*21**(-1)*23
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16446
|
What is the integral of
$ \left(44\right) ( \left(83\right) x+4 \left(79\right) ) (3 \left(83\right) x+4 \left(79\right) ) e^{ \left(76\right) x ( \left(83\right) x+4 \left(79\right) )^2} $
|
e**(x*(x*83 + 4*79)**2*76)*76**(-1)*44
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16447
|
What is the integral of
$ \left(81\right) ( \left(94\right) x+4 \left(93\right) ) (3 \left(94\right) x+4 \left(93\right) ) e^{ \left(38\right) x ( \left(94\right) x+4 \left(93\right) )^2} $
|
e**(x*(x*94 + 4*93)**2*38)*38**(-1)*81
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16448
|
What is the integral of
$ \left(38\right) ( \left(79\right) x+4 \left(60\right) ) (3 \left(79\right) x+4 \left(60\right) ) e^{ \left(28\right) x ( \left(79\right) x+4 \left(60\right) )^2} $
|
e**(x*(x*79 + 4*60)**2*28)*28**(-1)*38
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16449
|
What is the integral of
$ - \left(44\right) e^{3 \left(18\right) x} \sin \left( \left(67\right) e^{3 \left(18\right) x}\right) $
|
67**(-1)*18**(-1)*cos(67*e**(3*x*18))*44/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16450
|
What is the integral of
$ - \left(27\right) e^{3 \left(11\right) x} \sin \left( \left(19\right) e^{3 \left(11\right) x}\right) $
|
19**(-1)*11**(-1)*cos(19*e**(3*x*11))*27/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16451
|
What is the integral of
$ - \left(52\right) e^{3 \left(16\right) x} \sin \left( \left(48\right) e^{3 \left(16\right) x}\right) $
|
48**(-1)*16**(-1)*cos(48*e**(3*x*16))*52/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16452
|
What is the integral of
$ - \left(19\right) e^{3 \left(49\right) x} \sin \left( \left(21\right) e^{3 \left(49\right) x}\right) $
|
21**(-1)*49**(-1)*cos(21*e**(3*x*49))*19/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16453
|
What is the integral of
$ - \left(98\right) e^{3 \left(69\right) x} \sin \left( \left(87\right) e^{3 \left(69\right) x}\right) $
|
87**(-1)*69**(-1)*cos(87*e**(3*x*69))*98/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16454
|
What is the integral of
$ - \left(15\right) e^{3 \left(37\right) x} \sin \left( \left(58\right) e^{3 \left(37\right) x}\right) $
|
58**(-1)*37**(-1)*cos(58*e**(3*x*37))*15/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16455
|
What is the integral of
$ - \left(45\right) e^{3 \left(19\right) x} \sin \left( \left(61\right) e^{3 \left(19\right) x}\right) $
|
61**(-1)*19**(-1)*cos(61*e**(3*x*19))*45/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16456
|
What is the integral of
$ - \left(41\right) e^{3 \left(25\right) x} \sin \left( \left(91\right) e^{3 \left(25\right) x}\right) $
|
91**(-1)*25**(-1)*cos(91*e**(3*x*25))*41/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16457
|
What is the integral of
$ - \left(37\right) e^{3 \left(53\right) x} \sin \left( \left(84\right) e^{3 \left(53\right) x}\right) $
|
84**(-1)*53**(-1)*cos(84*e**(3*x*53))*37/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16458
|
What is the integral of
$ - \left(33\right) e^{3 \left(12\right) x} \sin \left( \left(47\right) e^{3 \left(12\right) x}\right) $
|
47**(-1)*12**(-1)*cos(47*e**(3*x*12))*33/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16459
|
What is the integral of
$ - \left(58\right) e^{3 \left(46\right) x} \sin \left( \left(54\right) e^{3 \left(46\right) x}\right) $
|
54**(-1)*46**(-1)*cos(54*e**(3*x*46))*58/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16460
|
What is the integral of
$ - \left(45\right) e^{3 \left(10\right) x} \sin \left( \left(67\right) e^{3 \left(10\right) x}\right) $
|
67**(-1)*10**(-1)*cos(67*e**(3*x*10))*45/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16461
|
What is the integral of
$ - \left(13\right) e^{3 \left(74\right) x} \sin \left( \left(49\right) e^{3 \left(74\right) x}\right) $
|
49**(-1)*74**(-1)*cos(49*e**(3*x*74))*13/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16462
|
What is the integral of
$ - \left(51\right) e^{3 \left(48\right) x} \sin \left( \left(49\right) e^{3 \left(48\right) x}\right) $
|
49**(-1)*48**(-1)*cos(49*e**(3*x*48))*51/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16463
|
What is the integral of
$ - \left(29\right) e^{3 \left(67\right) x} \sin \left( \left(40\right) e^{3 \left(67\right) x}\right) $
|
40**(-1)*67**(-1)*cos(40*e**(3*x*67))*29/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16464
|
What is the integral of
$ - \left(37\right) e^{3 \left(57\right) x} \sin \left( \left(42\right) e^{3 \left(57\right) x}\right) $
|
42**(-1)*57**(-1)*cos(42*e**(3*x*57))*37/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16465
|
What is the integral of
$ - \left(87\right) e^{3 \left(89\right) x} \sin \left( \left(19\right) e^{3 \left(89\right) x}\right) $
|
19**(-1)*89**(-1)*cos(19*e**(3*x*89))*87/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16466
|
What is the integral of
$ - \left(85\right) e^{3 \left(14\right) x} \sin \left( \left(87\right) e^{3 \left(14\right) x}\right) $
|
87**(-1)*14**(-1)*cos(87*e**(3*x*14))*85/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16467
|
What is the integral of
$ - \left(15\right) e^{3 \left(36\right) x} \sin \left( \left(22\right) e^{3 \left(36\right) x}\right) $
|
22**(-1)*36**(-1)*cos(22*e**(3*x*36))*15/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16468
|
What is the integral of
$ - \left(99\right) e^{3 \left(38\right) x} \sin \left( \left(72\right) e^{3 \left(38\right) x}\right) $
|
72**(-1)*38**(-1)*cos(72*e**(3*x*38))*99/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16469
|
What is the integral of
$ - \left(58\right) e^{3 \left(73\right) x} \sin \left( \left(76\right) e^{3 \left(73\right) x}\right) $
|
76**(-1)*73**(-1)*cos(76*e**(3*x*73))*58/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16470
|
What is the integral of
$ - \left(47\right) e^{3 \left(36\right) x} \sin \left( \left(49\right) e^{3 \left(36\right) x}\right) $
|
49**(-1)*36**(-1)*cos(49*e**(3*x*36))*47/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16471
|
What is the integral of
$ - \left(83\right) e^{3 \left(76\right) x} \sin \left( \left(12\right) e^{3 \left(76\right) x}\right) $
|
12**(-1)*76**(-1)*cos(12*e**(3*x*76))*83/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16472
|
What is the integral of
$ - \left(94\right) e^{3 \left(68\right) x} \sin \left( \left(87\right) e^{3 \left(68\right) x}\right) $
|
87**(-1)*68**(-1)*cos(87*e**(3*x*68))*94/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16473
|
What is the integral of
$ - \left(16\right) e^{3 \left(23\right) x} \sin \left( \left(42\right) e^{3 \left(23\right) x}\right) $
|
42**(-1)*23**(-1)*cos(42*e**(3*x*23))*16/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16474
|
What is the integral of
$ - \left(24\right) e^{3 \left(31\right) x} \sin \left( \left(77\right) e^{3 \left(31\right) x}\right) $
|
77**(-1)*31**(-1)*cos(77*e**(3*x*31))*24/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16475
|
What is the integral of
$ - \left(41\right) e^{3 \left(92\right) x} \sin \left( \left(22\right) e^{3 \left(92\right) x}\right) $
|
22**(-1)*92**(-1)*cos(22*e**(3*x*92))*41/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16476
|
What is the integral of
$ - \left(57\right) e^{3 \left(45\right) x} \sin \left( \left(76\right) e^{3 \left(45\right) x}\right) $
|
76**(-1)*45**(-1)*cos(76*e**(3*x*45))*57/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16477
|
What is the integral of
$ - \left(64\right) e^{3 \left(57\right) x} \sin \left( \left(64\right) e^{3 \left(57\right) x}\right) $
|
64**(-1)*57**(-1)*cos(64*e**(3*x*57))*64/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16478
|
What is the integral of
$ - \left(14\right) e^{3 \left(58\right) x} \sin \left( \left(76\right) e^{3 \left(58\right) x}\right) $
|
76**(-1)*58**(-1)*cos(76*e**(3*x*58))*14/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16479
|
What is the integral of
$ - \left(38\right) e^{3 \left(58\right) x} \sin \left( \left(39\right) e^{3 \left(58\right) x}\right) $
|
39**(-1)*58**(-1)*cos(39*e**(3*x*58))*38/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16480
|
What is the integral of
$ - \left(34\right) e^{3 \left(55\right) x} \sin \left( \left(65\right) e^{3 \left(55\right) x}\right) $
|
65**(-1)*55**(-1)*cos(65*e**(3*x*55))*34/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16481
|
What is the integral of
$ - \left(86\right) e^{3 \left(56\right) x} \sin \left( \left(61\right) e^{3 \left(56\right) x}\right) $
|
61**(-1)*56**(-1)*cos(61*e**(3*x*56))*86/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16482
|
What is the integral of
$ - \left(87\right) e^{3 \left(68\right) x} \sin \left( \left(36\right) e^{3 \left(68\right) x}\right) $
|
36**(-1)*68**(-1)*cos(36*e**(3*x*68))*87/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16483
|
What is the integral of
$ - \left(96\right) e^{3 \left(57\right) x} \sin \left( \left(78\right) e^{3 \left(57\right) x}\right) $
|
78**(-1)*57**(-1)*cos(78*e**(3*x*57))*96/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16484
|
What is the integral of
$ - \left(87\right) e^{3 \left(27\right) x} \sin \left( \left(40\right) e^{3 \left(27\right) x}\right) $
|
40**(-1)*27**(-1)*cos(40*e**(3*x*27))*87/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16485
|
What is the integral of
$ - \left(10\right) e^{3 \left(80\right) x} \sin \left( \left(89\right) e^{3 \left(80\right) x}\right) $
|
89**(-1)*80**(-1)*cos(89*e**(3*x*80))*10/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16486
|
What is the integral of
$ - \left(80\right) e^{3 \left(83\right) x} \sin \left( \left(65\right) e^{3 \left(83\right) x}\right) $
|
65**(-1)*83**(-1)*cos(65*e**(3*x*83))*80/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16487
|
What is the integral of
$ - \left(55\right) e^{3 \left(97\right) x} \sin \left( \left(79\right) e^{3 \left(97\right) x}\right) $
|
79**(-1)*97**(-1)*cos(79*e**(3*x*97))*55/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16488
|
What is the integral of
$ - \left(93\right) e^{3 \left(32\right) x} \sin \left( \left(76\right) e^{3 \left(32\right) x}\right) $
|
76**(-1)*32**(-1)*cos(76*e**(3*x*32))*93/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16489
|
What is the integral of
$ - \left(90\right) e^{3 \left(61\right) x} \sin \left( \left(77\right) e^{3 \left(61\right) x}\right) $
|
77**(-1)*61**(-1)*cos(77*e**(3*x*61))*90/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16490
|
What is the integral of
$ - \left(82\right) e^{3 \left(65\right) x} \sin \left( \left(66\right) e^{3 \left(65\right) x}\right) $
|
66**(-1)*65**(-1)*cos(66*e**(3*x*65))*82/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16491
|
What is the integral of
$ - \left(34\right) e^{3 \left(79\right) x} \sin \left( \left(66\right) e^{3 \left(79\right) x}\right) $
|
66**(-1)*79**(-1)*cos(66*e**(3*x*79))*34/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16492
|
What is the integral of
$ - \left(84\right) e^{3 \left(96\right) x} \sin \left( \left(99\right) e^{3 \left(96\right) x}\right) $
|
99**(-1)*96**(-1)*cos(99*e**(3*x*96))*84/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16493
|
What is the integral of
$ - \left(85\right) e^{3 \left(62\right) x} \sin \left( \left(23\right) e^{3 \left(62\right) x}\right) $
|
23**(-1)*62**(-1)*cos(23*e**(3*x*62))*85/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16494
|
What is the integral of
$ - \left(70\right) e^{3 \left(69\right) x} \sin \left( \left(45\right) e^{3 \left(69\right) x}\right) $
|
45**(-1)*69**(-1)*cos(45*e**(3*x*69))*70/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16495
|
What is the integral of
$ - \left(32\right) e^{3 \left(83\right) x} \sin \left( \left(87\right) e^{3 \left(83\right) x}\right) $
|
87**(-1)*83**(-1)*cos(87*e**(3*x*83))*32/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16496
|
What is the integral of
$ - \left(99\right) e^{3 \left(90\right) x} \sin \left( \left(82\right) e^{3 \left(90\right) x}\right) $
|
82**(-1)*90**(-1)*cos(82*e**(3*x*90))*99/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16497
|
What is the integral of
$ - \left(71\right) e^{3 \left(83\right) x} \sin \left( \left(72\right) e^{3 \left(83\right) x}\right) $
|
72**(-1)*83**(-1)*cos(72*e**(3*x*83))*71/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16498
|
What is the integral of
$ - \left(20\right) e^{3 \left(51\right) x} \sin \left( \left(60\right) e^{3 \left(51\right) x}\right) $
|
60**(-1)*51**(-1)*cos(60*e**(3*x*51))*20/3
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q29
|
|
16499
|
If $\log_{2 \left(41\right) } x - 2 \left(60\right) \log _{2 \left(41\right) } y=2 \left(76\right) $, determine $y$, as a function of $x$
|
e**(-2*log(x)*60*(2*log(x)*76 - log(2*41))**(-1)*log(2*41))
|
Numeric-All-2-S
|
OlympiadBench
oe_to_maths_en_comp
2498
|
|
16500
|
If $\log_{2 \left(51\right) } x - 2 \left(20\right) \log _{2 \left(51\right) } y=2 \left(53\right) $, determine $y$, as a function of $x$
|
e**(-2*log(x)*20*(2*log(x)*53 - log(2*51))**(-1)*log(2*51))
|
Numeric-All-2-S
|
OlympiadBench
oe_to_maths_en_comp
2498
|
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