index
int64
target
int64
available_numbers
list
solutions
list
2,201
103
[ 1, 9, 16, 27, 31, 34, 35, 38, 51, 56, 86 ]
[ "(((1+(9+35))+31)+27)", "((56+31)+16)", "((1+86)+16)", "((((51/1)+34)-38)+56)" ]
2,202
103
[ 21, 38, 44, 49, 54, 56, 61, 62, 65, 98 ]
[ "((54-49)+98)", "(98+(61-56))", "(((44-62)-38)+(61+98))", "((65+(61-44))+21)" ]
2,203
103
[ 3, 34, 40, 49, 51, 61, 82, 88, 97 ]
[ "((49-34)+88)", "((40-34)+97)", "((61-40)+82)", "(3+(49+51))" ]
2,204
103
[ 3, 6, 19, 32, 46, 49, 53, 59, 81, 90 ]
[ "(((59+(46-6))-49)+53)", "(59-(46-90))", "(32-(19-90))", "(19+(81+3))" ]
2,205
103
[ 20, 32, 36, 47, 59, 65, 74, 91 ]
[ "(74-(36-65))", "(36+(47+20))", "((32+91)-20)", "(91+(59-47))" ]
2,206
103
[ 4, 12, 13, 29, 69, 85, 86, 87 ]
[ "((85-69)+87)", "(29-(13-87))", "(12+(87+4))", "((4+86)+13)" ]
2,207
103
[ 3, 4, 5, 9, 12, 37, 78, 86, 91 ]
[ "((78+9)+(4+12))", "(78+(37-12))", "((9+91)+3)", "((12+86)+5)" ]
2,208
103
[ 6, 30, 39, 45, 52, 69, 79, 88, 97 ]
[ "(69+(79-45))", "((52+45)+6)", "((45+97)-39)", "(88+(45-30))" ]
2,209
103
[ 4, 6, 7, 14, 18, 23, 71, 83, 93 ]
[ "((18*7)-23)", "(71+(18+14))", "(93-(4-14))", "((6+18)+(83-4))" ]
2,210
103
[ 3, 18, 22, 25, 30, 38, 40, 48, 53, 65, 96, 99, 100 ]
[ "(((100-3)+99)-(40+53))", "((99+(65-38))-(53-30))", "(22+((18+96)-(48-(53-38))))", "(25+(96-18))" ]
2,211
103
[ 5, 15, 24, 30, 41, 50, 75, 79, 84, 88 ]
[ "((15-41)+(50+79))", "(88+(30-15))", "(88+(75/5))", "(84+(24-5))" ]
2,212
103
[ 17, 21, 42, 44, 46, 51, 63, 69, 73, 98 ]
[ "((63+69)-(73-44))", "(73-(21-51))", "(98+(51-46))", "(42+(44+17))" ]
2,213
103
[ 47, 52, 53, 56, 58, 64, 91, 94, 97 ]
[ "((64-52)+91)", "(64+(97-58))", "((97-47)+53)", "((94+56)-47)" ]
2,214
103
[ 13, 26, 29, 45, 55, 61, 74, 93, 94 ]
[ "(55+(29-(74-93)))", "((55-26)+74)", "(((94+(93-74))+45)-55)", "((55+61)-13)" ]
2,215
103
[ 8, 17, 20, 25, 27, 30, 44, 64, 70, 83, 98 ]
[ "(17-((30-8)-(44+64)))", "(30+((83-27)+17))", "((70+8)+25)", "((25-20)+98)" ]
2,216
103
[ 2, 15, 24, 37, 42, 61, 81, 84, 85, 86 ]
[ "(81-(2-24))", "(15+(2+86))", "(((85+37)/2)+42)", "(84+(61-42))" ]
2,217
103
[ 13, 14, 16, 19, 43, 55, 57, 80, 88, 89, 90 ]
[ "(((43-13)+89)-16)", "((57+89)-43)", "(((16-90)+88)+89)", "(16+((80-19)-(43-(55+14))))" ]
2,218
103
[ 1, 7, 11, 22, 26, 41, 73, 74, 82, 84, 88, 98 ]
[ "(((84+(1-88))+(26+73))+7)", "((26+(1-22))+98)", "(((82+84)+11)-(74*1))", "((41+73)-11)" ]
2,219
103
[ 4, 8, 11, 14, 22, 24, 29, 35, 36, 48, 50, 80, 81, 83, 88, 89 ]
[ "(89+(((36-8)/48)*24))", "(4/(24/((80*8)-22)))", "(8+((50-(11-81))+(4-29)))", "(((29+(83-35))-48)+(88-14))" ]
2,220
103
[ 3, 9, 21, 33, 40, 42, 54, 66, 69, 76, 82 ]
[ "((69-33)+(76-9))", "((82+54)-33)", "((3+66)-(42-76))", "((42+40)+21)" ]
2,221
103
[ 1, 19, 23, 27, 44, 51, 62, 67, 72, 75, 79, 92 ]
[ "((62-51)+92)", "((67+19)-(75-92))", "(1+((79-44)+67))", "((27+72)-(19-23))" ]
2,222
103
[ 6, 21, 22, 25, 27, 47, 49, 50, 60, 76, 77, 87 ]
[ "(25+(49+(76-47)))", "((27+47)-(21-50))", "((22+21)+60)", "(((6-77)+(27+60))+87)" ]
2,223
103
[ 2, 13, 14, 17, 21, 25, 32, 33, 34, 48, 56, 93 ]
[ "((56+93)-(32+14))", "((21+(17+93))-(14*2))", "(13+(56+34))", "(25-(48-(33+93)))" ]
2,224
103
[ 6, 10, 17, 19, 20, 22, 25, 26, 28, 38, 48, 70, 72, 82, 93, 98, 99 ]
[ "(28-((6+17)-98))", "((99-(72+6))+82)", "((10*17)-(48+((26-25)*19)))", "(((20+38)+93)-(70-22))" ]
2,225
103
[ 4, 13, 18, 27, 31, 33, 34, 35, 43, 54, 58, 64, 71, 73, 75, 77, 80, 86, 87, 89 ]
[ "((58*((75-31)+(13-54)))-71)", "(35-((18-((75-86)+64))-33))", "(((77+80)-43)+(27-(34+4)))", "((87-73)+89)" ]
2,226
106
[ 2, 10, 19, 22, 52, 63, 75, 94, 97 ]
[ "(10+(94+2))", "(97-(10-19))", "((75-22)*2)", "(63+(((75-2)-52)+22))" ]
2,227
106
[ 43, 44, 47, 61, 68, 77, 82, 85, 92, 96 ]
[ "(77+((47-61)+43))", "(85+(82-61))", "((82-44)+68)", "(92+(96-82))" ]
2,228
106
[ 11, 15, 21, 32, 50, 70, 73, 75, 76, 80, 100 ]
[ "((70-50)+(75+11))", "((75+70)+(73-(32+80)))", "((76+100)-70)", "((21+100)-15)" ]
2,229
106
[ 13, 15, 30, 34, 39, 49, 52, 53, 70, 73 ]
[ "((((15-70)+(52-13))+49)+73)", "((15+52)+39)", "((52+(73-53))+34)", "(53/(15/30))" ]
2,230
106
[ 4, 10, 14, 25, 28, 33, 47, 63, 64, 90, 93, 99 ]
[ "(((25+93)+(63-99))+(10+14))", "((64-47)+((99-14)+4))", "((28/4)+99)", "((33-64)+(47+90))" ]
2,231
106
[ 3, 5, 18, 50, 52, 53, 67, 74, 83, 94 ]
[ "((94-(53-(67+3)))-5)", "((3*52)-50)", "((74+50)-18)", "(83+(5+18))" ]
2,232
106
[ 4, 27, 40, 48, 62, 74, 84, 93, 96 ]
[ "(84+((74-40)-(48/4)))", "(62-(4-48))", "((96-74)+84)", "(40+(93-27))" ]
2,233
106
[ 5, 6, 32, 41, 43, 50, 52, 95, 97 ]
[ "(43-(32-95))", "((6+5)+95)", "((97-43)+52)", "((97+50)-41)" ]
2,234
106
[ 9, 14, 42, 48, 54, 55, 66, 94, 100 ]
[ "(100+(48-42))", "((54-42)+94)", "(66-(14-54))", "((55+9)+42)" ]
2,235
106
[ 4, 12, 21, 24, 33, 43, 51, 61, 78 ]
[ "(24+(21+61))", "(4+(78+24))", "((33+61)+12)", "(51+((24-12)+43))" ]
2,236
106
[ 27, 30, 33, 37, 50, 55, 56, 62, 64, 88, 96, 100 ]
[ "((50-(64+56))+((55/30)*96))", "(100-(56-62))", "((55-37)+88)", "(33-(27-100))" ]
2,237
106
[ 9, 11, 19, 36, 49, 57, 61, 62, 66, 92, 98 ]
[ "((57/19)+(11+92))", "((57+98)-49)", "(((49-62)-9)+(36+92))", "(61-((57-66)-36))" ]
2,238
106
[ 9, 25, 45, 52, 70, 87, 89, 90 ]
[ "(25-(9-90))", "(9+(52+45))", "((45+70)-9)", "(89+(87-70))" ]
2,239
106
[ 6, 15, 35, 46, 58, 68, 75, 78, 83, 89 ]
[ "((46+75)-15)", "((15+6)+((78-68)+75))", "(89+(75-58))", "(58+(83-35))" ]
2,240
106
[ 5, 7, 18, 31, 38, 39, 45, 60, 77, 89 ]
[ "(((38+89)-39)+18)", "(((38+5)+18)+45)", "(39+(60+7))", "((77+60)-31)" ]
2,241
106
[ 7, 13, 37, 42, 49, 66, 71, 77, 86, 90 ]
[ "(7+(13+(49+37)))", "((90+66)-(13+37))", "((77-13)+42)", "((42-71)+(86+49))" ]
2,242
106
[ 8, 11, 22, 27, 31, 39, 57, 64, 92, 93, 95 ]
[ "((27+57)+22)", "((92-8)+22)", "((93/31)+(8+95))", "(64+(39-(8-11)))" ]
2,243
106
[ 5, 19, 42, 45, 46, 65, 72, 76, 99 ]
[ "((72+99)-65)", "(76-(42-72))", "(65-(5-46))", "((19+45)+42)" ]
2,244
106
[ 1, 14, 17, 20, 26, 29, 51, 60, 63, 75 ]
[ "(((14+75)+17)/1)", "((63+17)+26)", "(75+(51-20))", "((60+29)+17)" ]
2,245
106
[ 2, 3, 4, 12, 16, 17, 27, 85, 86 ]
[ "((27-4)-(2-85))", "(4+((2*17)*3))", "((86-(16/4))-(3-27))", "((12*16)-86)" ]
2,246
106
[ 18, 21, 31, 36, 41, 43, 51, 69, 73, 80, 92, 99 ]
[ "(((99+36)-(51-43))-21)", "(80-(43-69))", "((43+31)-(41-73))", "((69+(18+92))-73)" ]
2,247
106
[ 10, 13, 15, 20, 30, 42, 44, 55, 62, 71, 79, 87, 98 ]
[ "(79-((20-62)+15))", "(71+(30+(15-10)))", "((87-((44-55)+71))+79)", "((42+13)-(98-(62+87)))" ]
2,248
106
[ 3, 4, 11, 12, 26, 27, 38, 40, 63, 78, 83, 89, 91 ]
[ "(4+(11+91))", "(83+(89-(26+40)))", "(12+(38+(83-27)))", "(((78+3)+63)-38)" ]
2,249
106
[ 6, 12, 13, 14, 20, 24, 31, 33, 37, 47, 48, 59, 71, 73, 79, 81 ]
[ "(14+(33+59))", "((48+((47+(13-79))+71))+6)", "(20+(31-(12-(73-6))))", "(37+(81-(24-12)))" ]
2,250
106
[ 1, 3, 7, 8, 22, 25, 28, 32, 34, 41, 42, 43, 53, 63, 68, 78, 88, 95 ]
[ "(((53+41)-8)-(43-63))", "((3*41)-(42-25))", "(((7+28)+88)+(78-95))", "((68/34)*((32+22)-1))" ]
2,251
107
[ 4, 19, 25, 31, 50, 51, 66, 82, 92 ]
[ "((51+31)+25)", "(50-(25-82))", "(66-(51-92))", "((19-4)+92)" ]
2,252
107
[ 18, 21, 26, 34, 40, 53, 55, 69, 87, 93, 96 ]
[ "(((26+96)-55)+40)", "((34+55)+18)", "(((93-55)-18)+87)", "(21+(((55-69)+53)-(40-87)))" ]
2,253
107
[ 18, 20, 25, 43, 46, 64, 71, 77, 79, 94 ]
[ "(64+((46-(77-94))-20))", "(43+(18+46))", "(79+((46+25)-43))", "(79-(43-71))" ]
2,254
107
[ 7, 11, 17, 30, 31, 44, 47, 53, 66, 81, 94, 97 ]
[ "(31-(((30-53)-97)+44))", "((30+11)+66)", "((97+17)-7)", "(((7-(94-81))+66)+47)" ]
2,255
107
[ 1, 5, 16, 17, 19, 47, 57, 78, 85, 89 ]
[ "((78+(1-57))+85)", "(89+(17+1))", "(17-((1-19)*5))", "((19+(47-16))+57)" ]
2,256
107
[ 3, 10, 29, 32, 75, 81, 84, 88, 92, 100 ]
[ "((((92-29)+32)+100)-88)", "((75+29)+3)", "(100+(10-3))", "(29+(84-(81-75)))" ]
2,257
107
[ 3, 6, 9, 20, 33, 40, 47, 57, 100 ]
[ "(33+((9*6)+20))", "(47+(20+40))", "(100-(33-40))", "((57+47)+3)" ]
2,258
107
[ 1, 5, 9, 38, 41, 61, 65, 73, 75 ]
[ "((75-9)+41)", "((61+41)+5)", "(41+(1+65))", "((73+1)-(5-38))" ]
2,259
107
[ 4, 16, 21, 29, 45, 54, 58, 78, 95 ]
[ "((58-29)+78)", "((45+78)-16)", "(16+((95+54)-58))", "(78-((21+4)-54))" ]
2,260
107
[ 7, 17, 30, 33, 43, 52, 56, 61, 81, 98 ]
[ "(81+(56-30))", "((7+(81+52))-33)", "(43-(61-((52+56)+17)))", "((52-43)+98)" ]
2,261
107
[ 14, 22, 26, 38, 39, 67, 72, 79, 90 ]
[ "((38-(79-72))-(14-90))", "((67+14)+26)", "(67-(39-79))", "(39+(90-22))" ]
2,262
107
[ 1, 15, 24, 25, 26, 27, 32, 39, 47, 84, 86, 89 ]
[ "(24+((32+(25-1))+27))", "(47+(84-24))", "(((89-39)+25)-(15-47))", "(86-(26-47))" ]
2,263
107
[ 3, 11, 28, 40, 47, 52, 64, 74, 76, 77, 80, 91 ]
[ "(((((3*76)-47)-91)-11)+28)", "(74+(((47-77)+11)+52))", "(91+(80-64))", "((40+3)+64)" ]
2,264
107
[ 10, 12, 34, 57, 60, 77, 80, 84, 87, 95 ]
[ "(((95+34)-(12-77))-87)", "(80-(60-87))", "(57+(60-10))", "((84-34)+57)" ]
2,265
107
[ 1, 3, 23, 27, 46, 53, 58, 69, 77, 99 ]
[ "(99-(3-(69-58)))", "(58-((27-53)-23))", "(53+(77-23))", "((46/(23/53))+1)" ]
2,266
107
[ 1, 2, 20, 29, 35, 40, 42, 60, 67, 68 ]
[ "((42+29)+(35+1))", "(67+(42-2))", "(67-(20-60))", "(68-(1-40))" ]
2,267
107
[ 6, 38, 45, 59, 64, 67, 73, 83, 88, 93, 94, 97 ]
[ "(83+(45-(94-(6+67))))", "((93-83)+97)", "(73+(93-59))", "((64+38)+(88-83))" ]
2,268
107
[ 5, 12, 13, 22, 47, 57, 68, 71, 80, 82, 92 ]
[ "(13+((71+80)-57))", "((68+(5+47))-13)", "(82+(47-22))", "(((5+92)-12)+22)" ]
2,269
107
[ 3, 4, 8, 10, 29, 30, 33, 37, 42, 43, 64, 70 ]
[ "(((42*3)*10)-(43+(30*37)))", "((4*(37-3))-29)", "((10+33)+64)", "(29+(70+8))" ]
2,270
107
[ 3, 22, 25, 28, 31, 39, 40, 56, 57, 61, 77, 79, 86, 90 ]
[ "(39-((40-31)-77))", "((86-40)+61)", "((25+(77+3))-(22/(79-90)))", "((79+28)*(57-56))" ]
2,271
107
[ 6, 7, 11, 18, 38, 41, 51, 55, 62, 63, 95 ]
[ "(6-(38+((7-51)-95)))", "(11+(63+(95-62)))", "(18+(38-(11-62)))", "(11+(41+55))" ]
2,272
107
[ 10, 32, 41, 44, 48, 57, 69, 81, 85, 88, 98, 100 ]
[ "((48+10)+(98/(88/44)))", "((41-32)+98)", "(((57*32)/48)+69)", "((85-(100-81))+41)" ]
2,273
107
[ 5, 14, 15, 34, 35, 43, 48, 49, 54, 63, 66, 81, 83, 89 ]
[ "((54-43)+(15+81))", "((81+(49+66))-89)", "(((43+63)+35)-34)", "((83-(48-63))-(5-14))" ]
2,274
107
[ 2, 4, 9, 11, 26, 51, 57, 70, 79, 80, 83, 84, 99 ]
[ "(99+(11-(83-80)))", "(((57+9)+11)+(4+26))", "((84-2)+(51-26))", "((79+70)+(9-51))" ]
2,275
107
[ 1, 10, 21, 27, 38, 55, 56, 63, 65, 70, 72, 85, 87, 91, 93 ]
[ "((70+65)+(10-38))", "((72-(21-55))+1)", "((87-1)+21)", "((((56+93)-63)-(91-27))+85)" ]
2,276
108
[ 27, 38, 39, 44, 54, 69, 77, 79, 94, 98 ]
[ "((69+54)+(79-94))", "(54+(98-44))", "(((27+39)+77)-(79-44))", "(69+(77-38))" ]
2,277
108
[ 13, 14, 22, 26, 30, 59, 66, 72, 81, 100 ]
[ "((72+66)-30)", "(66-(26-(59-(72-81))))", "(14+(81+13))", "((22-14)+100)" ]
2,278
108
[ 1, 5, 8, 10, 21, 36, 52, 77, 82 ]
[ "(77-(5-36))", "((8-5)*36)", "((77+52)-21)", "(52-(36-(1*(10+82))))" ]
2,279
108
[ 22, 26, 39, 55, 64, 70, 72, 75, 100 ]
[ "(70+(64-26))", "((100-64)+72)", "(75+(72-39))", "((55+75)-22)" ]
2,280
108
[ 5, 9, 11, 32, 50, 53, 85, 94 ]
[ "(50+(53+5))", "(53+(5*11))", "((9+94)+5)", "(32-(9-85))" ]
2,281
108
[ 4, 11, 18, 22, 30, 48, 54, 64, 86, 92 ]
[ "(((86-48)-22)+92)", "(4+(86+18))", "(64-((4-18)-30))", "(54*(22/11))" ]
2,282
108
[ 4, 10, 29, 32, 35, 38, 51, 63, 74, 76 ]
[ "(63+(74-29))", "(10+(35+63))", "((10-(35-(38-32)))+(76+51))", "(74-(4-38))" ]
2,283
108
[ 3, 39, 63, 69, 78, 81, 90, 96 ]
[ "(90-(78-96))", "(96-(69-81))", "(78+(69-39))", "(81-(39-(3+63)))" ]
2,284
108
[ 1, 6, 7, 22, 25, 29, 42, 46, 60, 65, 82, 98 ]
[ "(6*(82-(42+22)))", "((60+42)+6)", "((98-7)-((65-(46-6))-42))", "((46+25)+(29+(7+1)))" ]
2,285
108
[ 2, 3, 4, 31, 34, 37, 46, 72 ]
[ "(46+((31*4)/2))", "(((72/4)*2)*3)", "((2+34)*3)", "((2*37)+34)" ]
2,286
108
[ 3, 10, 20, 31, 74, 78, 87, 97 ]
[ "((87+31)-10)", "(3+(31+74))", "((78+10)+20)", "(97-(20-31))" ]
2,287
108
[ 17, 21, 27, 33, 41, 43, 46, 63, 84, 96 ]
[ "((27-63)*(43-46))", "(41+(46+21))", "((84+41)-17)", "(96+(33-21))" ]
2,288
108
[ 8, 25, 28, 35, 41, 44, 54, 56, 64, 70 ]
[ "(((54+64)-35)+25)", "(70+(25-(41-54)))", "((54/28)*56)", "(44+(56+8))" ]
2,289
108
[ 4, 7, 11, 16, 18, 23, 39, 41, 47, 62, 73 ]
[ "(((23+41)-(11+47))*18)", "(41+(4+(16+47)))", "(((47*4)-73)-7)", "(7+(39+62))" ]
2,290
108
[ 5, 10, 28, 30, 33, 58, 67, 73, 74, 90 ]
[ "((10+73)+(58-33))", "(90-(10-28))", "(67-(33-74))", "(30+(5+73))" ]
2,291
108
[ 13, 15, 19, 31, 36, 43, 62, 68, 76, 97 ]
[ "((97-(76/19))+15)", "(((97-19)-13)+43)", "((31+15)+62)", "((68-36)+76)" ]
2,292
108
[ 14, 23, 34, 36, 43, 48, 58, 79, 95 ]
[ "(58+(95-(79-34)))", "(14+(58+36))", "((95-23)+36)", "((36-48)*(34-43))" ]
2,293
108
[ 12, 13, 16, 22, 42, 56, 68, 76, 78, 79, 83 ]
[ "(16+(13+79))", "((78-(83+22))+(56+79))", "((42-12)+78)", "((68+(42-78))+76)" ]
2,294
108
[ 3, 5, 11, 40, 43, 49, 54, 55, 70, 71, 75, 93 ]
[ "((((75+43)+93)-54)-49)", "((55+75)+((54-71)-5))", "(40+(71-3))", "(49-(11-70))" ]
2,295
108
[ 1, 3, 11, 24, 32, 36, 50, 53, 67, 77, 81, 82, 84, 86, 95 ]
[ "((95-11)+((86+24)-(50+36)))", "((86+32)-(77-67))", "((53-(24-82))-3)", "(((81*3)-(84+50))-1)" ]
2,296
108
[ 1, 3, 20, 23, 27, 35, 36, 47, 48, 59, 93, 96 ]
[ "(47-(35-96))", "((3*(20+48))-96)", "(36-(48-(93+27)))", "(23+((27+59)-1))" ]
2,297
108
[ 5, 15, 21, 23, 25, 37, 40, 45, 58, 69, 78, 85 ]
[ "(45+(78-15))", "(((40+58)+25)-15)", "(((69*5)/15)+85)", "((23+69)-(21-37))" ]
2,298
108
[ 1, 6, 8, 9, 18, 23, 38, 51, 55, 63, 82, 89, 100 ]
[ "((23+(51-55))+89)", "((1+63)+(38+6))", "((9-1)+100)", "((1*18)+(8+82))" ]
2,299
108
[ 1, 17, 18, 21, 22, 39, 50, 57, 61, 88, 91, 94 ]
[ "(((94+57)-21)-22)", "((21-39)*(88-94))", "((((39+18)+91)-57)+17)", "(88-((91-61)-(50/1)))" ]
2,300
108
[ 1, 12, 30, 34, 43, 56, 68, 69, 72, 73, 84, 90, 96, 100 ]
[ "(30-(12-90))", "(68-((34-73)-1))", "((72*84)/56)", "(((43+96)-100)+69)" ]