index
int64
target
int64
available_numbers
list
solutions
list
3,501
161
[ 3, 5, 7, 14, 39, 49, 56, 84, 85 ]
[ "((5*(14+7))+56)", "(14+(49*3))", "((5*49)-84)", "((49/14)*(85-39))" ]
3,502
161
[ 18, 23, 27, 41, 45, 72, 81, 98 ]
[ "((98-(41-23))+81)", "((81+98)-18)", "(18+(45+98))", "((98+18)+(72-27))" ]
3,503
161
[ 4, 6, 29, 50, 52, 64, 68, 77, 78, 89 ]
[ "((64+68)+29)", "(68+(89+4))", "((89+6)+((64-50)+52))", "((77+6)+78)" ]
3,504
161
[ 25, 34, 41, 49, 62, 66, 70, 78, 87 ]
[ "((49+34)+78)", "(25+(87+49))", "((70-62)+(87+(25+41)))", "(70+(25+66))" ]
3,505
161
[ 18, 26, 29, 34, 40, 58, 66, 71, 77, 79, 97 ]
[ "(79-((29-77)-34))", "((77+66)+18)", "(66-((40-58)-77))", "(77-(58-(71-(26-97))))" ]
3,506
161
[ 19, 32, 36, 39, 47, 50, 63, 69, 82, 95 ]
[ "(69-(39-(36+95)))", "((19+95)+47)", "((63-(47-50))+95)", "((47+32)+82)" ]
3,507
161
[ 12, 19, 28, 32, 48, 55, 56, 57, 67, 76, 85 ]
[ "(((32+85)-48)/(12/28))", "((85-55)+(67+(76-12)))", "(19+(57+85))", "(48+(56+57))" ]
3,508
161
[ 19, 25, 31, 44, 47, 50, 78, 86, 94 ]
[ "((44-47)+(86+78))", "((86+44)+31)", "(86+(50+25))", "((94-19)+86)" ]
3,509
161
[ 2, 10, 16, 38, 39, 54, 69, 90, 94, 97 ]
[ "((94+90)-(39-16))", "(94-(2-69))", "((38+69)+54)", "((97+54)+10)" ]
3,510
161
[ 5, 14, 23, 25, 46, 62, 70, 74, 78, 86 ]
[ "((23-14)+(78+74))", "((5*23)+46)", "(5+(70+86))", "((74+62)+25)" ]
3,511
161
[ 8, 11, 21, 55, 58, 69, 84, 87, 95 ]
[ "((87+95)-21)", "(58+(95+8))", "((84+69)+8)", "((69+(55/11))+87)" ]
3,512
161
[ 9, 22, 47, 61, 67, 72, 91, 92 ]
[ "((22+72)+67)", "((91+92)-22)", "((47+92)+22)", "(91+(61+9))" ]
3,513
161
[ 12, 15, 16, 51, 54, 56, 62, 81, 89, 96 ]
[ "((54+56)+51)", "((16+56)+89)", "(((15+12)+(16+62))+56)", "(81-(16-96))" ]
3,514
161
[ 9, 17, 24, 31, 43, 45, 54, 55, 70, 73, 84 ]
[ "(((43+54)+9)+55)", "(73+(43+45))", "((43+31)-((70-84)-73))", "((24-17)+(84+70))" ]
3,515
161
[ 1, 2, 19, 28, 33, 40, 72, 78, 88, 95 ]
[ "(72+(1+88))", "(40+(33+88))", "((28-(33-78))+88)", "((28-((2*(1+19))-95))+78)" ]
3,516
161
[ 8, 9, 18, 20, 27, 39, 42, 45, 54, 61, 83, 89 ]
[ "(((18+8)+(83-9))+61)", "((20+61)+(89-9))", "((39-27)+((54+(61-8))+42))", "(27+(45+89))" ]
3,517
161
[ 11, 12, 13, 18, 25, 29, 53, 70, 97, 98 ]
[ "(29+(11*12))", "(29+((25-13)*11))", "((53+97)+11)", "(((98-25)+18)+70)" ]
3,518
161
[ 4, 17, 29, 34, 43, 52, 59, 65, 75, 94, 99, 100 ]
[ "((94+75)+((65-59)-(43-29)))", "(75+(34+52))", "((100-4)+65)", "(4+((75-17)+99))" ]
3,519
161
[ 10, 13, 17, 18, 28, 30, 73, 74, 90, 94, 97, 98 ]
[ "(28-((18-94)+(17-74)))", "(((30+90)+(97-74))+18)", "((10+90)-(13-74))", "((98+73)-10)" ]
3,520
161
[ 8, 10, 40, 52, 69, 71, 80, 82, 99 ]
[ "((8+82)+71)", "(10+(80+71))", "(52+(10+99))", "(52+(40+69))" ]
3,521
161
[ 2, 37, 41, 58, 64, 72, 73, 76, 86, 87, 90, 93, 97, 99 ]
[ "(((97-41)+99)-(87-93))", "(((86-(93+(58-99)))+37)+90)", "((2+86)+73)", "((72+64)+((99+2)-76))" ]
3,522
161
[ 9, 14, 20, 22, 31, 39, 41, 45, 50, 60, 71, 77, 88, 95 ]
[ "((60+71)+(39-9))", "(((50-14)+60)+(20+45))", "(41+((77-71)-((31-50)-95)))", "(88-(22-95))" ]
3,523
161
[ 3, 16, 26, 30, 40, 59, 65, 67, 73, 78, 91 ]
[ "((3*59)-16)", "((3+(26+67))+65)", "((78-(73-91))+65)", "(40+(91+30))" ]
3,524
161
[ 4, 14, 18, 20, 27, 66, 71, 72, 92, 93, 96, 98, 99 ]
[ "(99-(4-66))", "((72-(18-66))+((71+93)/4))", "(92/((4*14)/98))", "((20+96)-(27-72))" ]
3,525
161
[ 1, 3, 4, 13, 30, 38, 48, 53, 60, 63, 66, 68, 69, 73, 79, 87, 89, 96, 98 ]
[ "((79+(53+3))+((98+1)-73))", "(89-((13-(60+63))+38))", "((30-4)+(87+48))", "((68+66)+(96-69))" ]
3,526
162
[ 16, 24, 32, 42, 43, 49, 50, 67, 96 ]
[ "(50+(96+16))", "((24+42)+96)", "(((96+42)-43)+67)", "((43+(67+49))+(96/32))" ]
3,527
162
[ 1, 2, 44, 47, 49, 64, 69, 81, 93 ]
[ "(((47+49)+64)+2)", "(2/(1/81))", "(69+(49+44))", "(93+(69/1))" ]
3,528
162
[ 32, 40, 43, 51, 59, 60, 71, 79 ]
[ "(79+(51+32))", "((60+(79-71))+(43+51))", "((43+60)+59)", "((40+43)+79)" ]
3,529
162
[ 29, 36, 39, 48, 54, 85, 87, 88, 89 ]
[ "(85+(87-(39-29)))", "((29+48)+85)", "((89+(36-48))+85)", "(54*(88-85))" ]
3,530
162
[ 1, 13, 20, 21, 60, 61, 69, 80, 82 ]
[ "(60+(20+82))", "((82*1)+80)", "((61+80)+21)", "(80+(13+69))" ]
3,531
162
[ 26, 31, 41, 47, 48, 52, 69, 83, 84 ]
[ "(31+(48+83))", "(48+(47+(41+26)))", "((84+52)+26)", "(52+(69+41))" ]
3,532
162
[ 4, 5, 6, 9, 23, 25, 54, 73, 82, 90 ]
[ "(9*(23-5))", "((73-23)-(((4-25)-82)-9))", "(6*(23+4))", "(((54/5)/6)*90)" ]
3,533
162
[ 4, 11, 14, 18, 34, 58, 66, 72, 79, 90 ]
[ "(90+(58+14))", "((4*18)+90)", "((72*(4*18))/(66-34))", "((79+72)+11)" ]
3,534
162
[ 15, 28, 39, 45, 46, 47, 49, 64, 73, 88, 100 ]
[ "((64+100)+(28+(15-45)))", "(15+(47+100))", "(28+(88+46))", "((49+39)+(73-(45-46)))" ]
3,535
162
[ 3, 7, 9, 10, 13, 15, 55, 73, 80, 83, 85, 86, 94 ]
[ "((85+10)+(((9+80)-15)-7))", "(((55+(86+15))+13)-7)", "(13+(55+94))", "(((3*55)+7)+(73-83))" ]
3,536
162
[ 9, 18, 24, 38, 46, 52, 72, 92, 99 ]
[ "((72+52)+38)", "(99+(72-9))", "((92+52)+18)", "((92+24)+46)" ]
3,537
162
[ 30, 34, 37, 42, 44, 48, 52, 56, 60, 69, 88, 95 ]
[ "((34+((60+42)+48))+(30-52))", "((44+88)+30)", "(95+(30+37))", "((69+56)+37)" ]
3,538
162
[ 1, 18, 19, 50, 75, 77, 81, 84, 86, 97, 98, 99 ]
[ "(((86+77)+98)-99)", "((1+75)+86)", "((84-75)*18)", "(((19+(97+(81+50)))-84)-1)" ]
3,539
162
[ 2, 4, 6, 7, 12, 22, 39, 51, 69, 72, 78, 95, 97 ]
[ "(((((2*39)-72)*7)+51)+69)", "(12+(78+72))", "((22-6)+((39+95)+12))", "(((97+(78-39))+22)+4)" ]
3,540
162
[ 7, 20, 33, 35, 54, 57, 62, 68, 71, 72, 74, 78, 88 ]
[ "((35-33)+(88+72))", "(((57+(33+62))+20)+(78-88))", "((74-7)+(62+33))", "((57-54)+(71+(20+68)))" ]
3,541
162
[ 2, 14, 25, 27, 56, 59, 60, 62, 67, 79, 81 ]
[ "(2+(60+((59+27)+14)))", "(67+(62-(27-60)))", "(79+(27+56))", "((25+81)+56)" ]
3,542
162
[ 1, 7, 11, 20, 22, 27, 36, 42, 78, 99 ]
[ "((27+(99+78))-42)", "((36*99)/22)", "(((11*20)-36)-22)", "(27*(7-1))" ]
3,543
162
[ 2, 22, 23, 26, 27, 31, 37, 55, 71, 74, 86, 90, 91 ]
[ "(31+(((74-2)-(55-23))+91))", "((86+23)+(27+26))", "(71+((27-26)+90))", "((22-37)+(86+91))" ]
3,544
162
[ 3, 26, 30, 39, 51, 52, 56, 57, 74, 77, 79, 85, 96 ]
[ "((74+((3*51)-(85-77)))-57)", "((57+52)+(56-3))", "(26+(57+79))", "((57-30)+(39+96))" ]
3,545
162
[ 11, 26, 28, 31, 35, 38, 40, 54, 59, 68, 70, 71, 73 ]
[ "((54+71)+(11+26))", "(54+(40+68))", "(((70-38)+68)-(11-73))", "((((59-31)+54)-28)*(38-35))" ]
3,546
162
[ 13, 16, 20, 33, 37, 41, 61, 64, 82, 93 ]
[ "(93+((41+61)-33))", "(93-(13-82))", "(64+(16+82))", "((20+64)+(41+37))" ]
3,547
162
[ 13, 20, 28, 37, 53, 59, 72, 89, 97 ]
[ "((37+97)+28)", "(72+(53+37))", "((13+37)+(53+59))", "((53+89)+20)" ]
3,548
162
[ 3, 5, 6, 15, 29, 32, 37, 65, 71, 73, 92, 95, 96 ]
[ "((92+71)-(96-95))", "(92+(5+65))", "((92+(29-32))+73)", "((6-29)+((37/3)*15))" ]
3,549
162
[ 2, 4, 9, 10, 17, 21, 25, 30, 34, 37, 41, 45, 50, 58, 62, 87, 90 ]
[ "(37+(25*(10/2)))", "((58+50)+(9+45))", "(((62*21)+(4*90))-(30*50))", "(21+(87-(4+((17-34)-41))))" ]
3,550
162
[ 1, 3, 6, 24, 27, 41, 49, 52, 53, 54, 60, 61, 63, 71, 75, 79, 81, 90, 95 ]
[ "(60+(81+(24-3)))", "(52+((60-(41+71))+(27*6)))", "(71+((49+54)+(79-(1+90))))", "(((95+75)-53)-(79-(61+63)))" ]
3,551
163
[ 1, 8, 11, 15, 65, 72, 76, 90 ]
[ "((90+1)+72)", "((65+8)+90)", "(((15+72)+11)+65)", "((72+15)+76)" ]
3,552
163
[ 3, 20, 22, 39, 41, 52, 53, 69, 70, 90 ]
[ "((90-22)+(53+(39+3)))", "((22-69)+(70*3))", "((70+41)+((69-20)+3))", "((41+52)+70)" ]
3,553
163
[ 4, 9, 10, 32, 36, 52, 61, 71, 88, 98 ]
[ "((32-(9-88))+52)", "(88+(4+71))", "((((36-52)+98)+71)+10)", "((61+98)+4)" ]
3,554
163
[ 3, 6, 22, 26, 42, 45, 71, 76, 95 ]
[ "((42+95)+26)", "((71-3)+95)", "(45+(42+76))", "(71+(76-(6-22)))" ]
3,555
163
[ 8, 16, 23, 39, 42, 74, 81, 82, 89 ]
[ "(8+(74+81))", "(89-(8-82))", "(39+(42+82))", "((42+82)+(16+23))" ]
3,556
163
[ 2, 14, 24, 31, 33, 35, 36, 39, 40, 67, 96 ]
[ "(96-((2-33)-36))", "((36+31)+96)", "(39+(31*(36+(35-67))))", "((39+(96-(2+24)))+(40+14))" ]
3,557
163
[ 4, 5, 13, 15, 47, 49, 66, 75, 76, 82, 83, 91 ]
[ "((13+49)+(15-(5-91)))", "((5+75)+83)", "(76+(83+4))", "((76-82)+((5*47)-66))" ]
3,558
163
[ 27, 30, 39, 58, 66, 67, 78, 97 ]
[ "(66+(67+30))", "((39+58)+66)", "(78+(58+27))", "((27+97)+39)" ]
3,559
163
[ 8, 29, 31, 35, 37, 55, 57, 61, 71, 79 ]
[ "(61+(79+(31-8)))", "((79+29)+55)", "(55+(37+71))", "(71+(57+35))" ]
3,560
163
[ 1, 10, 23, 28, 45, 53, 65, 73, 81, 82, 85, 95 ]
[ "((45+65)+53)", "(85+(45+(10+23)))", "(((81+95)-23)+10)", "(1*((65+(73+82))-(85-28)))" ]
3,561
163
[ 4, 16, 25, 28, 41, 51, 68, 96 ]
[ "(51+(28*4))", "((28+68)+(51+16))", "((96+51)+16)", "(51+((96+41)-25))" ]
3,562
163
[ 11, 23, 35, 37, 38, 46, 48, 49, 57, 58, 68, 70, 72 ]
[ "(((72-(49-70))+46)+(35-11))", "((68+23)+72)", "(58+(37+68))", "((57/(38-37))+(58+48))" ]
3,563
163
[ 3, 5, 12, 18, 19, 28, 35, 47, 51, 56, 68 ]
[ "((56*3)-5)", "((5*19)+68)", "((51+47)-(3-68))", "((12+(35+(51+18)))+(19+28))" ]
3,564
163
[ 10, 20, 35, 40, 59, 74, 83, 84, 94, 99 ]
[ "(((40+83)-59)+99)", "((59+20)+84)", "((94+59)+10)", "(94+((74+35)-40))" ]
3,565
163
[ 6, 8, 12, 32, 43, 44, 58, 61, 71, 80, 99 ]
[ "(8+((80+43)+32))", "(80+(12+71))", "((99-(6-58))+12)", "((58+61)+44)" ]
3,566
163
[ 27, 68, 90, 91, 94, 96, 99, 100 ]
[ "(96+(94-27))", "(100+(90-27))", "(((91-90)+94)+68)", "((91+99)-27)" ]
3,567
163
[ 2, 3, 4, 33, 50, 53, 66, 78, 84, 87, 92, 100 ]
[ "((84-(2-((50+53)-100)))+78)", "((87+78)-2)", "((92+4)+(87-(53-33)))", "((2+(92+3))+66)" ]
3,568
163
[ 14, 16, 35, 53, 60, 61, 62, 64, 70, 77, 87, 88, 90, 91 ]
[ "(16+(((70/35)*(61-14))+53))", "((87+60)+16)", "(61+(91+(88-77)))", "(((35+62)+64)+(90-88))" ]
3,569
163
[ 2, 4, 10, 18, 19, 54, 72, 77, 85, 88, 90, 93 ]
[ "(((19-(85-90))-(10-72))+77)", "(90-(4-77))", "((54-77)+(2*93))", "((88+93)-18)" ]
3,570
163
[ 8, 13, 14, 18, 37, 47, 59, 64, 67, 73, 80, 89, 90, 98 ]
[ "(98+(47+18))", "((59+89)-(47-(80-18)))", "(((67-8)+73)-(59-90))", "(89-((14-(64+37))+13))" ]
3,571
163
[ 2, 20, 21, 26, 34, 44, 50, 69, 71, 74, 75, 98 ]
[ "(((26+98)+(74-71))+(2+34))", "((69+74)+20)", "(69+((75+21)-2))", "((44+69)+50)" ]
3,572
163
[ 1, 9, 13, 22, 41, 52, 66, 76, 84, 85, 94, 97 ]
[ "((66-1)+(76+22))", "(66+(1*(84+13)))", "(13-(41-((94+97)*1)))", "((85+22)-(((84+9)-97)-52))" ]
3,573
163
[ 2, 6, 17, 37, 62, 63, 78, 82, 91, 94 ]
[ "(91-(6-78))", "(94+(63+6))", "(37+(63*2))", "(2+(17+(82+62)))" ]
3,574
163
[ 15, 23, 25, 28, 31, 33, 36, 56, 58, 61, 69, 70, 72, 80, 95, 99, 100 ]
[ "(80+((99+31)-(33-(56-70))))", "(((61+72)+25)-(95-100))", "((15+(61+23))+(28+36))", "(58+(69+36))" ]
3,575
163
[ 9, 11, 12, 13, 16, 22, 23, 27, 42, 48, 62, 64, 74, 79, 82, 88, 100 ]
[ "(27+(((48+100)+62)-74))", "(((12*13)-22)-(42-(23+48)))", "(22+((9*16)+(79-82)))", "(64+(11+88))" ]
3,576
165
[ 1, 3, 13, 22, 55, 61, 81, 82, 97 ]
[ "((82*3)-81)", "(81-(13-97))", "((82+61)+22)", "(55/(1/3))" ]
3,577
165
[ 1, 12, 59, 68, 79, 85, 95, 96, 98 ]
[ "((95+59)+(79-68))", "((79+98)-12)", "((12+68)+85)", "(96+(1+68))" ]
3,578
165
[ 2, 3, 9, 15, 46, 48, 50, 86, 99 ]
[ "((50*3)+15)", "((2+9)*15)", "((99/9)*15)", "((46+(86+9))+(48/2))" ]
3,579
165
[ 9, 33, 39, 40, 45, 57, 75, 80, 84, 88 ]
[ "(45/(9/33))", "(33+(75+57))", "((40+80)+45)", "(((40-84)+(88-39))*33)" ]
3,580
165
[ 13, 14, 28, 39, 56, 68, 70, 83, 84 ]
[ "(14+(68+83))", "(68+(84+13))", "((84+28)+(39+14))", "((39+56)+70)" ]
3,581
165
[ 8, 11, 31, 41, 47, 77, 80, 93 ]
[ "(41+(47+77))", "((77*8)-(41*11))", "((93+80)-8)", "((93+31)+41)" ]
3,582
165
[ 9, 14, 24, 25, 54, 55, 63, 71, 86 ]
[ "((9-24)*(14-25))", "((86+55)+24)", "((54+86)+25)", "((55+63)+(71-24))" ]
3,583
165
[ 26, 36, 38, 42, 52, 56, 63, 87, 89, 98 ]
[ "((98+(56-52))+63)", "(52+(87+26))", "(87+((89-38)+(63-36)))", "((42+87)+36)" ]
3,584
165
[ 2, 23, 24, 29, 35, 46, 69, 75, 76, 77, 95 ]
[ "((29-24)*(35-2))", "((46+24)+95)", "((29+(77*(69/23)))-95)", "(95+((76-75)+69))" ]
3,585
165
[ 5, 10, 25, 26, 51, 61, 66, 78, 94 ]
[ "(94+(10+61))", "(26+(61+78))", "(5+(94+66))", "(51-((5-25)-94))" ]
3,586
165
[ 2, 29, 36, 39, 49, 53, 76, 87, 90 ]
[ "((36+90)+39)", "((39*2)+87)", "((87+29)+49)", "((53+36)+76)" ]
3,587
165
[ 7, 20, 35, 37, 38, 42, 50, 68, 73, 77, 99 ]
[ "((73+77)+(35-20))", "(50+(73+42))", "((73-7)+99)", "((99+(68-37))+(73-38))" ]
3,588
165
[ 9, 39, 43, 46, 48, 58, 64, 70, 83, 98 ]
[ "((64+((46+70)-98))+83)", "((43+64)+58)", "(58+(9+98))", "((58+(48-39))+98)" ]
3,589
165
[ 25, 26, 30, 32, 42, 43, 59, 76, 80, 83, 87, 91, 93, 97 ]
[ "((25+43)+97)", "((42+97)+26)", "(((30+87)+(76-25))-(83-80))", "((59+93)+(32-(80-(91-30))))" ]
3,590
165
[ 27, 33, 34, 38, 56, 65, 67, 93, 95, 99 ]
[ "((34+93)+38)", "((93-27)+99)", "((65+34)+((56+38)+(67-95)))", "((67+33)+65)" ]
3,591
165
[ 6, 7, 13, 18, 31, 55, 66, 69, 83, 92, 93 ]
[ "(((93+69)-55)-(31-(6+83)))", "(92+(55+18))", "((18*13)-69)", "(66+(7+92))" ]
3,592
165
[ 1, 3, 11, 74, 76, 78, 85, 88, 93 ]
[ "((93+74)-((11-85)+76))", "(78+(11+76))", "((3+88)+74)", "((88+78)-1)" ]
3,593
165
[ 1, 3, 5, 6, 11, 27, 36, 45, 71, 79, 80, 86, 90, 96 ]
[ "((1*79)+86)", "(((90-79)/3)*45)", "((6+(1*96))+(27+36))", "((1/5)*(80-(36-(71*11))))" ]
3,594
165
[ 4, 22, 40, 44, 55, 66, 75, 77, 83, 85, 94 ]
[ "(((85+94)-75)+(83-22))", "((66+77)+22)", "(55+(44+66))", "((40-4)+(85+44))" ]
3,595
165
[ 3, 6, 19, 20, 23, 35, 49, 68, 71, 72, 74, 88, 99, 100 ]
[ "((99+88)+((20-19)-(72-49)))", "(20+(74+71))", "((74-((3-88)+23))-(6-35))", "(((100+68)-23)+20)" ]
3,596
165
[ 4, 9, 15, 32, 39, 47, 48, 51, 54, 60, 63, 68, 71, 72, 83, 87 ]
[ "(63-(39-((54+72)+15)))", "((51+54)+60)", "(71+(68+((9+48)-(63-32))))", "(15+(((47-71)+(83+87))+4))" ]
3,597
165
[ 2, 10, 11, 15, 17, 19, 24, 30, 46, 68, 70, 80, 91, 100 ]
[ "(((11+30)+24)+100)", "(100+(15+((24+91)-(46+19))))", "((10/17)/((80/(30*11))/68))", "(100-((10/2)-70))" ]
3,598
165
[ 6, 11, 13, 18, 32, 33, 44, 57, 64, 65, 71, 94 ]
[ "((94+(32+33))+6)", "((64+94)+(18-11))", "((64+94)+((13+65)-71))", "((57+44)+64)" ]
3,599
165
[ 14, 16, 20, 30, 33, 37, 41, 48, 62, 66, 73, 81 ]
[ "((33-30)*(41+14))", "((30+62)+73)", "((37+62)+66)", "(((16+48)+81)+20)" ]
3,600
165
[ 1, 4, 8, 11, 27, 52, 68, 75, 76, 77, 80, 81, 82, 83, 84, 88, 89, 100 ]
[ "(77+(4+84))", "((100-52)+((89+27)-(82-83)))", "((81+76)+8)", "((((80+88)-68)-11)+(75+1))" ]