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index
int64
target
int64
available_numbers
list
solutions
list
1
1
[ 1, 6, 11, 28, 39, 40, 53, 60, 100 ]
[ "(60-(53+6))", "(100-(60+39))", "(11/(39-28))", "(40-(1*39))" ]
2
1
[ 1, 7, 12, 18, 61, 68, 71, 75, 78 ]
[ "((75-68)/7)", "((7+71)/78)", "(78+((1-12)*7))", "((61-78)+18)" ]
3
1
[ 1, 24, 42, 45, 47, 63, 65, 87 ]
[ "((65-1)-63)", "(24+(42-65))", "((42-(87-47))-1)", "(42/(87-45))" ]
4
1
[ 14, 25, 33, 40, 65, 74, 75, 86, 99 ]
[ "((75-99)+25)", "(86-(99-14))", "((40+25)/65)", "(74-(33+40))" ]
5
1
[ 17, 31, 34, 45, 50, 62, 82, 98 ]
[ "((82-50)-31)", "((82-98)+17)", "((17-50)+34)", "(62/(45+17))" ]
6
1
[ 2, 23, 25, 28, 41, 47, 67, 69, 96 ]
[ "((47-(23-2))-25)", "((47-69)+23)", "((41+28)/69)", "(96-(67+28))" ]
7
1
[ 4, 12, 16, 21, 22, 32, 37, 48, 50, 54, 55, 57, 59 ]
[ "((48-((59+50)-(4*21)))-22)", "(((21+50)-55)/16)", "(32+(57-((16-12)*22)))", "((54-16)-37)" ]
8
1
[ 14, 16, 18, 28, 35, 36, 37, 38, 52, 61, 70 ]
[ "(18-(70-(37+16)))", "(28-((52+61)-(16+70)))", "((35/70)+(14/28))", "(38/((36-35)+37))" ]
9
1
[ 15, 21, 39, 52, 54, 75, 78, 84, 90 ]
[ "((54+21)/75)", "((15+39)/54)", "((21-84)/(15-78))", "(39-(90-52))" ]
10
1
[ 5, 6, 30, 42, 47, 48, 49, 81, 92 ]
[ "((48-6)/42)", "(30/(5*6))", "((42+(81-92))-30)", "((47-((48+49)-81))-30)" ]
11
1
[ 15, 19, 24, 45, 56, 58, 63, 74, 79 ]
[ "(74-(15+58))", "(79-(63+15))", "(24-(79-56))", "((19-63)+45)" ]
12
1
[ 3, 13, 26, 39, 64, 65, 76, 80, 82, 83 ]
[ "(83-((65-64)*82))", "((13-76)+64)", "(39/(13+26))", "((83-80)/3)" ]
13
1
[ 2, 14, 19, 22, 23, 33, 49, 51, 52, 54 ]
[ "((23-33)+(49-(52-14)))", "(19-(51-33))", "(22+(33-54))", "((54-2)/52)" ]
14
1
[ 22, 34, 35, 36, 44, 54, 65, 80, 87, 89 ]
[ "((89-35)/54)", "(80-(89+(34-44)))", "(36/(80-44))", "(22-(((87-35)+34)-65))" ]
15
1
[ 2, 3, 20, 31, 32, 33, 39, 42, 53, 55, 58, 71, 93 ]
[ "(((93+33)-(31+39))-55)", "((39+20)-58)", "((39-(53*2))+(42-(32-58)))", "((42-71)/(3-32))" ]
16
1
[ 9, 18, 24, 52, 54, 59, 60, 66, 68, 77, 84 ]
[ "(77-(24+52))", "(84-(24+59))", "(((54/9)-(18+(77-66)))+24)", "(60-(68-9))" ]
17
1
[ 5, 6, 7, 13, 21, 26, 37, 54, 63, 72, 87, 92, 93, 97 ]
[ "(7+(5-(((6-54)+72)-13)))", "((97-93)/((54-63)+13))", "(5/(26-21))", "((((7-87)-37)+92)+26)" ]
18
1
[ 5, 12, 13, 18, 23, 41, 44, 46, 53, 63, 73 ]
[ "(46-(63-18))", "((46-5)/41)", "(44+(18+(12-73)))", "(23-((13-44)+53))" ]
19
1
[ 1, 3, 7, 29, 37, 44, 61, 65, 67, 76, 81, 95 ]
[ "(7+(61-67))", "((29-95)+67)", "(67/((81-95)+(37+44)))", "((29-(65-(1+76)))-(37+3))" ]
20
1
[ 2, 17, 26, 27, 36, 72, 98 ]
[ "((27-98)+72)", "((36*2)/72)", "((36/2)-17)", "((27-36)/(17-26))" ]
21
1
[ 4, 10, 15, 38, 44, 45, 62, 68, 77, 86, 96 ]
[ "(((44+10)-38)-15)", "(10-(77-68))", "(45+(4+(38-86)))", "((62-(10+96))+45)" ]
22
1
[ 3, 8, 17, 19, 45, 48, 63, 66, 70, 78, 80, 82, 94 ]
[ "(82-(3+78))", "((94-19)-(82-8))", "(48+((80+17)-((70*3)-66)))", "((45+66)/(63+48))" ]
23
1
[ 10, 16, 22, 24, 25, 31, 46, 57, 60, 62, 92, 97 ]
[ "((60-97)/((31-22)-46))", "((60-(57-31))/(24+10))", "(62+((24-60)-25))", "(((92+16)-62)/46)" ]
24
1
[ 4, 9, 16, 26, 28, 32, 38, 43, 51, 60, 90, 91, 96 ]
[ "((26/((96/4)-16))/(91/28))", "(51/(16+(26+9)))", "((60-91)+32)", "((96-43)+(38-90))" ]
25
1
[ 14, 21, 30, 31, 35, 45, 46, 49, 57, 61, 65, 71, 85, 87 ]
[ "(((71-85)+61)-46)", "(49+(35+(14-((71+57)-31))))", "(30/(87-57))", "(21+(45-65))" ]
26
2
[ 1, 2, 4, 7, 8, 14, 17, 32 ]
[ "((1+7)*(8/32))", "(4+(2-(32/8)))", "((17*2)-32)", "((17-1)-14)" ]
27
2
[ 3, 34, 35, 50, 51, 83, 84, 89 ]
[ "((89-84)-3)", "((34-35)+3)", "(3+(50-51))", "((51-83)+34)" ]
28
2
[ 1, 15, 22, 36, 49, 52, 57, 60, 70, 79 ]
[ "(60-(36+22))", "(((22+49)+(79-36))/57)", "((15-70)+57)", "(52-(49+1))" ]
29
2
[ 2, 18, 24, 26, 54, 64, 90, 94, 99 ]
[ "(90-(64+24))", "((((24/2)*99)/18)-64)", "((94-90)-2)", "((94-54)+(26-64))" ]
30
2
[ 12, 16, 23, 25, 33, 37, 42, 45, 67, 80, 96 ]
[ "((67-33)/(42-25))", "(23-(33-12))", "(((45-(96-16))+12)+25)", "((37+45)-80)" ]
31
2
[ 4, 15, 32, 51, 52, 59, 66, 72, 94 ]
[ "(94/(15+32))", "(((94+51)-59)-(52+32))", "(94/(51-4))", "((72-66)-4)" ]
32
2
[ 1, 4, 5, 10, 11, 13, 21, 40, 88 ]
[ "((11+4)-13)", "(88/(4+40))", "((1+21)/11)", "((4*5)/10)" ]
33
2
[ 16, 18, 22, 38, 41, 54, 55, 62, 64, 77, 79 ]
[ "(((18+22)+16)-54)", "(((62+16)+55)-(77+54))", "((38-77)+41)", "((64-(79+38))+55)" ]
34
2
[ 5, 17, 24, 26, 32, 45, 58, 70, 87, 88 ]
[ "((45-26)-(87-70))", "(45-(17+26))", "(((45+32)-58)-17)", "(24+((26+45)-(5+88)))" ]
35
2
[ 11, 22, 29, 39, 51, 52, 53, 71, 75, 78, 86, 91, 97, 99 ]
[ "(((86-97)-(75-99))-11)", "(75-(51+22))", "(97-(((29+39)+78)-51))", "((53+(99+71))-((78+52)+91))" ]
36
2
[ 1, 8, 10, 24, 32, 44, 46, 70, 72, 84, 86 ]
[ "((84/1)/(86-44))", "(84/(32+10))", "((84+8)/(70-24))", "((72-46)-24)" ]
37
2
[ 12, 18, 31, 46, 60, 62, 77, 83, 89, 91, 93 ]
[ "(62+(31-91))", "(12/((18*31)/93))", "((46+(89-(60+91)))+18)", "((77+89)/83)" ]
38
2
[ 6, 8, 14, 16, 30, 36, 42, 58, 90, 94 ]
[ "((58+14)/36)", "((30-36)+8)", "(((42+6)/90)*(30/8))", "((16*6)-94)" ]
39
2
[ 12, 15, 22, 50, 52, 63, 64, 76, 83 ]
[ "((15-63)+50)", "(63+(22-83))", "((64-12)-50)", "((52+76)/64)" ]
40
2
[ 3, 13, 16, 17, 26, 34, 49, 65, 78 ]
[ "((65/13)-3)", "(3-(17-16))", "(78/(65-26))", "((49-13)-34)" ]
41
2
[ 1, 5, 29, 30, 33, 42, 49, 59, 73, 80, 85, 98 ]
[ "((5-(33-30))/1)", "((33+85)/59)", "((1*80)-(29+49))", "((59-(73-98))/42)" ]
42
2
[ 2, 23, 24, 27, 28, 75, 78, 79, 100 ]
[ "(24+(78-100))", "((23+79)-100)", "((79-75)/2)", "(2/(28-27))" ]
43
2
[ 2, 3, 6, 17, 20, 27, 44, 46, 48, 75, 98 ]
[ "((2-27)+(44-17))", "((17+75)/46)", "((46-6)/20)", "(3-((48+(6+44))/98))" ]
44
2
[ 13, 14, 17, 23, 24, 25, 56, 60, 64, 81, 96 ]
[ "((23+60)-81)", "((64+(17-23))-56)", "((64-14)/25)", "(((64+24)+96)-(13*14))" ]
45
2
[ 6, 7, 9, 28, 37, 57, 68, 72, 76, 79, 92, 93 ]
[ "((9-93)/(37-79))", "((72/9)-6)", "((92+(57-93))/28)", "((7+76)-(68+(92-79)))" ]
46
2
[ 24, 26, 42, 46, 48, 52, 53, 71, 88, 99 ]
[ "((42+48)-88)", "(48+(53-99))", "(46/(71-48))", "(((24/26)*52)-46)" ]
47
2
[ 19, 25, 26, 31, 39, 40, 48, 55, 68, 70, 73, 86 ]
[ "((((31+48)-25)+86)-(68+70))", "((25+31)+(19-73))", "(68-(26+40))", "((39+19)/(55-26))" ]
48
2
[ 4, 7, 25, 41, 65, 66, 70, 74, 78, 79, 85, 88 ]
[ "((25+(41+(4-65)))+(85-88))", "(4+((79-74)-7))", "((74+66)/70)", "((70+78)/74)" ]
49
2
[ 4, 5, 8, 15, 25, 30, 34, 35, 42, 45, 48, 60, 63, 64, 72, 75, 78, 91 ]
[ "(((4*(48-35))-60)/(30-34))", "(8/((45+35)/(15+5)))", "(((78+72)-(63+25))-60)", "((((64+34)-91)*42)/(75+72))" ]
50
2
[ 28, 31, 39, 40, 43, 46, 47, 50, 55, 58, 61, 69, 77, 80, 82, 83, 90, 91 ]
[ "((80+69)-((31+77)+39))", "(((55+((28+91)-39))-43)/46)", "((47+(61+58))/83)", "((50-(90+40))+82)" ]
51
3
[ 4, 10, 11, 15, 52, 69, 87, 94 ]
[ "((4-11)+10)", "(10-(94-87))", "((69+87)/52)", "((87-69)-15)" ]
52
3
[ 1, 7, 12, 18, 32, 40, 42, 50, 54, 81 ]
[ "((81+12)-(40+50))", "((54-18)/12)", "(((1-12)-18)+32)", "((42-(32*1))-7)" ]
53
3
[ 1, 6, 21, 22, 30, 64, 69, 85, 97 ]
[ "((69+21)/30)", "(69/(22+1))", "((64+(6+(30/1)))-97)", "(21-(6+(97-85)))" ]
54
3
[ 2, 16, 17, 18, 32, 33, 42, 44, 47, 59, 82, 93 ]
[ "(((16/2)-47)+42)", "(((16*42)-(18*32))-93)", "((18-59)+44)", "(((82+93)-(17+59))/33)" ]
55
3
[ 1, 25, 27, 32, 37, 59, 82, 87, 91 ]
[ "((27+1)-25)", "(1+(25+(59-82)))", "((82-91)+(37-25))", "((87-91)-(25-32))" ]
56
3
[ 2, 3, 17, 23, 37, 40, 41, 53, 90 ]
[ "(90/(53-23))", "((53-2)/17)", "(37-(17*2))", "((40+17)-(3*(41-23)))" ]
57
3
[ 18, 19, 24, 36, 37, 40, 62, 68, 70, 76, 84 ]
[ "((68-(62-37))-40)", "((76/19)-(37-36))", "(18/(76-70))", "(24/(84-76))" ]
58
3
[ 5, 10, 12, 13, 14, 44, 61, 64, 81 ]
[ "((44-5)/13)", "(5-(12-10))", "((61-14)-44)", "((81-14)-64)" ]
59
3
[ 6, 8, 9, 11, 27, 31, 40, 45, 49, 68, 81, 85 ]
[ "((49-45)+(8-9))", "(((8*27)-45)/(68-11))", "(6/((11-49)+40))", "(81-((31+85)-(27+11)))" ]
60
3
[ 5, 8, 23, 26, 29, 30, 38, 72, 76, 92 ]
[ "(38+((29+8)-72))", "((((38-8)-26)+(23+5))-29)", "((72-92)+23)", "(((76+29)-30)-72)" ]
61
3
[ 4, 36, 46, 47, 51, 61, 66, 81, 94 ]
[ "(51-(94-46))", "(94+(51-(81+61)))", "((46+4)-47)", "((66-(4-46))/36)" ]
62
3
[ 1, 2, 26, 36, 39, 43, 79, 81, 84 ]
[ "((39-36)*1)", "((39-79)+43)", "((2/26)*39)", "(84-((2-1)*81))" ]
63
3
[ 12, 17, 20, 44, 46, 48, 50, 54, 59, 79, 90, 97 ]
[ "((50-((17-12)-(48-46)))-44)", "((97-46)/17)", "(48-(90-(12+(79-46))))", "(20-((59+54)-(17+79)))" ]
64
3
[ 16, 18, 19, 41, 48, 56, 61, 67, 89 ]
[ "(48+(16-61))", "((89-41)/16)", "(89-(67+19))", "((18+41)-56)" ]
65
3
[ 14, 15, 28, 37, 39, 48, 56, 57, 59, 63, 65, 81, 99 ]
[ "((59-(14+57))+15)", "(99-(39+57))", "(63/((48+39)-(81-15)))", "((37-56)-(28-(65-(63-48))))" ]
66
3
[ 22, 24, 25, 40, 42, 46, 48, 60, 71, 85, 96 ]
[ "((48-(71-40))+((96-85)-25))", "((96+42)/46)", "(((24-60)+85)-46)", "(60/(42-22))" ]
67
3
[ 1, 5, 18, 21, 29, 30, 56, 57, 61, 75, 90, 99 ]
[ "(75/(30-(90/18)))", "((30+29)-56)", "(99+((5-(61+(75-56)))-21))", "(5-((1+57)-56))" ]
68
3
[ 1, 3, 9, 21, 33, 57, 66, 72, 80, 100 ]
[ "(57-(21+33))", "(72/(21+3))", "(((80+3)-(1-21))-100)", "(66+(9-72))" ]
69
3
[ 7, 31, 33, 39, 52, 54, 67, 68, 71, 85 ]
[ "((39-(54-85))-67)", "((7+67)-71)", "(((7-33)+68)-39)", "((52-31)/7)" ]
70
3
[ 3, 17, 18, 30, 47, 60, 66, 71, 76, 77, 80, 98 ]
[ "(((76-(30+98))+(66+60))-71)", "((60-66)-(71-80))", "((77-30)*(3/47))", "((18-17)*3)" ]
71
3
[ 4, 5, 9, 13, 15, 26, 27, 42, 52, 70, 72 ]
[ "(15-((26-27)+13))", "((72-42)-27)", "(42*(5/70))", "((4-52)+(42+9))" ]
72
3
[ 3, 4, 20, 23, 26, 31, 35, 38, 49, 52, 61, 64, 73 ]
[ "(3*((52-31)-20))", "((35+(38-(61-20)))-(26+3))", "((73-64)/3)", "((49+4)+(23-73))" ]
73
3
[ 17, 19, 28, 31, 32, 34, 35, 74, 78, 84, 85, 94 ]
[ "(((85-19)-31)-32)", "((94-84)-(85-78))", "(94-(74+17))", "((17-28)+((35*34)/85))" ]
74
3
[ 2, 5, 9, 16, 34, 40, 51, 65, 72, 76, 78, 88, 92, 95, 98, 99 ]
[ "(99-((72-16)+40))", "(88-((34-(65-99))+(95-78)))", "((2*(51-9))-(5+76))", "(((98+9)-92)/5)" ]
75
3
[ 1, 9, 21, 22, 25, 32, 33, 35, 36, 37, 51, 53, 56, 61, 66, 84, 87, 89 ]
[ "(1+(89-87))", "((37-(51+25))/(22-35))", "((53+(36-(56-21)))-(84-33))", "(((32+61)-66)/9)" ]
76
4
[ 24, 34, 37, 41, 50, 72, 88, 92, 95 ]
[ "(88-(34+50))", "(95-(41+50))", "((37+24)+(72-(41+88)))", "(24-(92-72))" ]
77
4
[ 1, 16, 19, 20, 24, 57, 77 ]
[ "(1+(57/19))", "(24-(20/1))", "(20-(16*1))", "((24+57)-77)" ]
78
4
[ 16, 23, 29, 35, 53, 55, 65 ]
[ "(55-(35+16))", "((35+29)/16)", "((23-35)+16)", "(53-(65-16))" ]
79
4
[ 1, 22, 25, 29, 33, 39, 43, 55, 99 ]
[ "((43/1)-39)", "((25-43)+22)", "(1+((25+33)-55))", "((29-22)-(99/33))" ]
80
4
[ 5, 6, 7, 8, 15, 34, 61, 63, 73, 77 ]
[ "(6-(7-5))", "((61+6)-63)", "((73-63)-6)", "((61*(34-(7+8)))-(77*15))" ]
81
4
[ 5, 12, 13, 34, 42, 51, 54, 67, 68 ]
[ "(68/(5+12))", "(34-(12+(5+13)))", "((13-51)+42)", "(67-((51+54)-42))" ]
82
4
[ 2, 6, 24, 40, 50, 55, 58, 70, 72, 75, 78 ]
[ "((24+55)-75)", "((24+(70-50))-40)", "((70-72)+6)", "(((72-2)-78)+(70-58))" ]
83
4
[ 37, 43, 50, 51, 60, 64, 66, 71, 77, 82, 89, 98 ]
[ "(43-((60-71)+50))", "((98-(71+89))+66)", "((82+66)/37)", "((37-77)-((71-51)-64))" ]
84
4
[ 2, 5, 8, 11, 45, 48, 90, 93, 97, 100 ]
[ "(11+(93-100))", "(8+(93-97))", "((48-(2+97))+(5*11))", "(90/(45/2))" ]
85
4
[ 2, 16, 18, 21, 22, 26, 45, 69, 83, 99 ]
[ "((22*18)/99)", "(99-(69+26))", "(2+(18-16))", "((45-(83-18))/(16-21))" ]
86
4
[ 7, 20, 30, 33, 49, 51, 67 ]
[ "(51-(67-20))", "((20-49)+33)", "(30+(7-33))", "(7-(33-30))" ]
87
4
[ 1, 2, 9, 12, 36, 40, 72 ]
[ "(2*(72/36))", "((72/2)/(9*1))", "(12/(1+2))", "(40-(36*1))" ]
88
4
[ 4, 8, 25, 26, 34, 39, 44, 87, 88 ]
[ "(26/((34-8)/4))", "((26-25)*4)", "(4/(88-87))", "((87-44)-39)" ]
89
4
[ 2, 13, 29, 52, 61, 68, 72, 81, 87, 91, 100 ]
[ "((100/(87-91))+29)", "(((87-2)+(91+68))/61)", "(13-(61-52))", "((13+72)-81)" ]
90
4
[ 6, 10, 16, 31, 44, 52, 54, 58, 64, 85 ]
[ "((31-85)+58)", "(58-(10+44))", "((16+(58-64))-6)", "((6+52)-54)" ]
91
4
[ 4, 11, 17, 18, 32, 38, 66, 86, 95 ]
[ "(11+((18+(4-95))+66))", "(4/(18-17))", "(32+(38-66))", "((66+86)/38)" ]
92
4
[ 9, 14, 25, 28, 30, 49, 51, 57, 82, 84 ]
[ "(28+((57-30)-51))", "((84-28)/14)", "(25-(30-9))", "((28+9)+(49-82))" ]
93
4
[ 1, 3, 6, 11, 13, 14, 20, 23, 26, 47, 80 ]
[ "((47-26)-(14+3))", "((47-23)/6)", "((13+11)/(26-20))", "((80*1)/20)" ]
94
4
[ 12, 20, 28, 32, 44, 46, 53, 65, 73, 76, 78, 86 ]
[ "(28/(53-46))", "((28-32)-(12-20))", "((78-86)+12)", "((65/((86+44)/(76+78)))-73)" ]
95
4
[ 15, 18, 21, 24, 29, 37, 39, 41, 54, 76 ]
[ "((15-41)+(54-24))", "(21+(37-54))", "((39+41)-76)", "(18+(15-29))" ]
96
4
[ 7, 9, 11, 30, 32, 39, 45, 54, 55, 61, 64, 67, 84, 92, 93, 98 ]
[ "((7+67)-(45+((64-9)-30)))", "((45-(84-67))/(39-32))", "(((11-92)+39)+(55-9))", "((((98+93)+61)/7)/(54-45))" ]
97
4
[ 35, 36, 40, 42, 49, 62, 63, 74, 94, 98 ]
[ "(42+(36-74))", "(36/(49-40))", "(62-(98-40))", "(94+(35-(62+63)))" ]
98
4
[ 1, 13, 14, 35, 36, 55, 58, 60, 63, 65, 70, 88, 91, 92 ]
[ "((13+63)/((55-36)/1))", "((35+(88+14))-(63+70))", "(88-(14-((58-60)*35)))", "(((91-92)+65)-60)" ]
99
4
[ 5, 22, 27, 36, 38, 47, 48, 52, 53, 68, 76, 79, 82, 83 ]
[ "(83-(27+52))", "(5+((82-(53+76))/47))", "(38+(48-82))", "(((76-36)+68)+((22-47)-79))" ]
100
4
[ 8, 9, 16, 17, 18, 24, 40, 41, 42, 47, 49, 53, 61, 63, 85, 90 ]
[ "((47+42)-(61+24))", "((85*16)/(((63+90)*40)/18))", "((40+8)/(53-41))", "((49+(17-9))-53)" ]
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Multi-Solution Countdown Dataset

This dataset is from the paper The Era of Agentic Organization: Learning to Organize with Language Models.

Dataset Description

The Multi-Solution Countdown dataset contains mathematical reasoning problems where the goal is to reach a target number using a set of available numbers and basic arithmetic operations (+, -, *, /). Each problem has multiple valid solutions.

Dataset Structure

Split Examples
Train 22,500
Test 400

Features

  • index: Integer identifier
  • target: Target number to reach
  • available_numbers: List of numbers that can be used
  • solutions: List of valid mathematical expressions

Example

{
  "index": 1,
  "target": 655,
  "available_numbers": [8, 9, 26, 43, 47, 60, 68, 69, 70, 78, 82, 87],
  "solutions": ["((26-78)+((68+87)+(8*69)))", "(69-(70-(8*82)))", "(43+(68*9))", "((47+68)+(60*9))"]
}

Usage

from datasets import load_dataset

dataset = load_dataset("CZWin32768/multi-solution-countdown")

Citation

@article{chi2025asyncthink,
  title={The Era of Agentic Organization: Learning to Organize with Language Models},
  author={Chi, Zewen and Dong, Li and Dong, Qingxiu and Hao, Yaru and Wu, Xun and Huang, Shaohan and Wei, Furu},
  journal={arXiv preprint arXiv:2510.26658},
  year={2025}
}
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