data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [90, 11, 37, 95] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 90+95=185, Resulting Numbers: [11, 37, 185]\nGenerated Node #0,0: 55:[11, 37, 185] Operation: 90+95=185\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 185], Operations: ['90+95=185']\nExploring Operation: 11*185=2035, Resulting Numbers: [37, 2035]\nGenerated Node #0,0,0: 55:[37, 2035] Operation: 11*185=2035\nMoving to Node #0,0,0\nCurrent State: 55:[37, 2035], Operations: ['90+95=185', '11*185=2035']\nExploring Operation: 2035/37=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 0,
"nums": [
90,
11,
37,
95
],
"solution": [
"90+95=185",
"11*185=2035",
"2035/37=55"
],
"split": "train",
"target": 55
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 63, 75, 32] using the four basic arithmetic operations (+, -, *, /) to reach 100.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 100:[70, 63, 75, 32], Operations: []\nExploring Operation: 70-63=7, Resulting Numbers: [75, 32, 7]\nGenerated Node #0,0: 100:[75, 32, 7] Operation: 70-63=7\nMoving to Node #0,0\nCurrent State: 100:[75, 32, 7], Operations: ['70-63=7']\nExploring Operation: 75+32=107, Resulting Numbers: [7, 107]\nGenerated Node #0,0,0: 100:[7, 107] Operation: 75+32=107\nMoving to Node #0,0,0\nCurrent State: 100:[7, 107], Operations: ['70-63=7', '75+32=107']\nExploring Operation: 107-7=100, Resulting Numbers: [100]\n100,100 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 1,
"nums": [
70,
63,
75,
32
],
"solution": [
"70-63=7",
"75+32=107",
"107-7=100"
],
"split": "train",
"target": 100
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [5, 5, 33, 33] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5+5=10, Resulting Numbers: [33, 33, 10]\nGenerated Node #0,0: 76:[33, 33, 10] Operation: 5+5=10\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 10], Operations: ['5+5=10']\nExploring Operation: 33+33=66, Resulting Numbers: [10, 66]\nGenerated Node #0,0,0: 76:[10, 66] Operation: 33+33=66\nMoving to Node #0,0,0\nCurrent State: 76:[10, 66], Operations: ['5+5=10', '33+33=66']\nExploring Operation: 10+66=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 2,
"nums": [
5,
5,
33,
33
],
"solution": [
"5+5=10",
"33+33=66",
"10+66=76"
],
"split": "train",
"target": 76
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [34, 19, 42, 7] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 34+42=76, Resulting Numbers: [19, 7, 76]\nGenerated Node #0,0: 28:[19, 7, 76] Operation: 34+42=76\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 76], Operations: ['34+42=76']\nExploring Operation: 76/19=4, Resulting Numbers: [7, 4]\nGenerated Node #0,0,0: 28:[7, 4] Operation: 76/19=4\nMoving to Node #0,0,0\nCurrent State: 28:[7, 4], Operations: ['34+42=76', '76/19=4']\nExploring Operation: 7*4=28, Resulting Numbers: [28]\n28,28 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 3,
"nums": [
34,
19,
42,
7
],
"solution": [
"34+42=76",
"76/19=4",
"7*4=28"
],
"split": "train",
"target": 28
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 50, 12, 56] using the four basic arithmetic operations (+, -, *, /) to reach 70.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 70:[64, 50, 12, 56], Operations: []\nExploring Operation: 64+50=114, Resulting Numbers: [12, 56, 114]\nGenerated Node #0,0: 70:[12, 56, 114] Operation: 64+50=114\nMoving to Node #0,0\nCurrent State: 70:[12, 56, 114], Operations: ['64+50=114']\nExploring Operation: 56-12=44, Resulting Numbers: [114, 44]\nGenerated Node #0,0,0: 70:[114, 44] Operation: 56-12=44\nMoving to Node #0,0,0\nCurrent State: 70:[114, 44], Operations: ['64+50=114', '56-12=44']\nExploring Operation: 114-44=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 4,
"nums": [
64,
50,
12,
56
],
"solution": [
"64+50=114",
"56-12=44",
"114-44=70"
],
"split": "train",
"target": 70
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [86, 8, 22, 89] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 58:[86, 8, 22, 89], Operations: []\nExploring Operation: 89-86=3, Resulting Numbers: [8, 22, 3]\nGenerated Node #0,0: 58:[8, 22, 3] Operation: 89-86=3\nMoving to Node #0,0\nCurrent State: 58:[8, 22, 3], Operations: ['89-86=3']\nExploring Operation: 22*3=66, Resulting Numbers: [8, 66]\nGenerated Node #0,0,0: 58:[8, 66] Operation: 22*3=66\nMoving to Node #0,0,0\nCurrent State: 58:[8, 66], Operations: ['89-86=3', '22*3=66']\nExploring Operation: 66-8=58, Resulting Numbers: [58]\n58,58 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 5,
"nums": [
86,
8,
22,
89
],
"solution": [
"89-86=3",
"22*3=66",
"66-8=58"
],
"split": "train",
"target": 58
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [10, 67, 32, 53] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 28:[10, 67, 32, 53], Operations: []\nExploring Operation: 67-10=57, Resulting Numbers: [32, 53, 57]\nGenerated Node #0,0: 28:[32, 53, 57] Operation: 67-10=57\nMoving to Node #0,0\nCurrent State: 28:[32, 53, 57], Operations: ['67-10=57']\nExploring Operation: 32+53=85, Resulting Numbers: [57, 85]\nGenerated Node #0,0,0: 28:[57, 85] Operation: 32+53=85\nMoving to Node #0,0,0\nCurrent State: 28:[57, 85], Operations: ['67-10=57', '32+53=85']\nExploring Operation: 85-57=28, Resulting Numbers: [28]\n28,28 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 6,
"nums": [
10,
67,
32,
53
],
"solution": [
"67-10=57",
"32+53=85",
"85-57=28"
],
"split": "train",
"target": 28
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [45, 78, 40, 12] using the four basic arithmetic operations (+, -, *, /) to reach 61.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 61:[45, 78, 40, 12], Operations: []\nExploring Operation: 78-45=33, Resulting Numbers: [40, 12, 33]\nGenerated Node #0,0: 61:[40, 12, 33] Operation: 78-45=33\nMoving to Node #0,0\nCurrent State: 61:[40, 12, 33], Operations: ['78-45=33']\nExploring Operation: 40-12=28, Resulting Numbers: [33, 28]\nGenerated Node #0,0,0: 61:[33, 28] Operation: 40-12=28\nMoving to Node #0,0,0\nCurrent State: 61:[33, 28], Operations: ['78-45=33', '40-12=28']\nExploring Operation: 33+28=61, Resulting Numbers: [61]\n61,61 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 7,
"nums": [
45,
78,
40,
12
],
"solution": [
"78-45=33",
"40-12=28",
"33+28=61"
],
"split": "train",
"target": 61
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [20, 28, 39, 62] using the four basic arithmetic operations (+, -, *, /) to reach 53.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 53:[20, 28, 39, 62], Operations: []\nExploring Operation: 20+28=48, Resulting Numbers: [39, 62, 48]\nGenerated Node #0,0: 53:[39, 62, 48] Operation: 20+28=48\nMoving to Node #0,0\nCurrent State: 53:[39, 62, 48], Operations: ['20+28=48']\nExploring Operation: 39+62=101, Resulting Numbers: [48, 101]\nGenerated Node #0,0,0: 53:[48, 101] Operation: 39+62=101\nMoving to Node #0,0,0\nCurrent State: 53:[48, 101], Operations: ['20+28=48', '39+62=101']\nExploring Operation: 101-48=53, Resulting Numbers: [53]\n53,53 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 8,
"nums": [
20,
28,
39,
62
],
"solution": [
"20+28=48",
"39+62=101",
"101-48=53"
],
"split": "train",
"target": 53
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [21, 15, 78, 2] using the four basic arithmetic operations (+, -, *, /) to reach 69.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 21+78=99, Resulting Numbers: [15, 2, 99]\nGenerated Node #0,0: 69:[15, 2, 99] Operation: 21+78=99\nMoving to Node #0,0\nCurrent State: 69:[15, 2, 99], Operations: ['21+78=99']\nExploring Operation: 15*2=30, Resulting Numbers: [99, 30]\nGenerated Node #0,0,0: 69:[99, 30] Operation: 15*2=30\nMoving to Node #0,0,0\nCurrent State: 69:[99, 30], Operations: ['21+78=99', '15*2=30']\nExploring Operation: 99-30=69, Resulting Numbers: [69]\n69,69 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 9,
"nums": [
21,
15,
78,
2
],
"solution": [
"21+78=99",
"15*2=30",
"99-30=69"
],
"split": "train",
"target": 69
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [53, 77, 95, 5] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 43:[53, 77, 95, 5], Operations: []\nExploring Operation: 77-53=24, Resulting Numbers: [95, 5, 24]\nGenerated Node #0,0: 43:[95, 5, 24] Operation: 77-53=24\nMoving to Node #0,0\nCurrent State: 43:[95, 5, 24], Operations: ['77-53=24']\nExploring Operation: 95/5=19, Resulting Numbers: [24, 19]\nGenerated Node #0,0,0: 43:[24, 19] Operation: 95/5=19\nMoving to Node #0,0,0\nCurrent State: 43:[24, 19], Operations: ['77-53=24', '95/5=19']\nExploring Operation: 24+19=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 10,
"nums": [
53,
77,
95,
5
],
"solution": [
"77-53=24",
"95/5=19",
"24+19=43"
],
"split": "train",
"target": 43
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [66, 39, 72, 89] using the four basic arithmetic operations (+, -, *, /) to reach 56.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 66+39=105, Resulting Numbers: [72, 89, 105]\nGenerated Node #0,0: 56:[72, 89, 105] Operation: 66+39=105\nMoving to Node #0,0\nCurrent State: 56:[72, 89, 105], Operations: ['66+39=105']\nExploring Operation: 72+89=161, Resulting Numbers: [105, 161]\nGenerated Node #0,0,0: 56:[105, 161] Operation: 72+89=161\nMoving to Node #0,0,0\nCurrent State: 56:[105, 161], Operations: ['66+39=105', '72+89=161']\nExploring Operation: 161-105=56, Resulting Numbers: [56]\n56,56 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 11,
"nums": [
66,
39,
72,
89
],
"solution": [
"66+39=105",
"72+89=161",
"161-105=56"
],
"split": "train",
"target": 56
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [97, 99, 24, 87] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 75:[97, 99, 24, 87], Operations: []\nExploring Operation: 99-97=2, Resulting Numbers: [24, 87, 2]\nGenerated Node #0,0: 75:[24, 87, 2] Operation: 99-97=2\nMoving to Node #0,0\nCurrent State: 75:[24, 87, 2], Operations: ['99-97=2']\nExploring Operation: 24/2=12, Resulting Numbers: [87, 12]\nGenerated Node #0,0,0: 75:[87, 12] Operation: 24/2=12\nMoving to Node #0,0,0\nCurrent State: 75:[87, 12], Operations: ['99-97=2', '24/2=12']\nExploring Operation: 87-12=75, Resulting Numbers: [75]\n75,75 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 12,
"nums": [
97,
99,
24,
87
],
"solution": [
"99-97=2",
"24/2=12",
"87-12=75"
],
"split": "train",
"target": 75
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [28, 7, 7, 21] using the four basic arithmetic operations (+, -, *, /) to reach 48.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 48:[28, 7, 7, 21], Operations: []\nExploring Operation: 28+21=49, Resulting Numbers: [7, 7, 49]\nGenerated Node #0,0: 48:[7, 7, 49] Operation: 28+21=49\nMoving to Node #0,0\nCurrent State: 48:[7, 7, 49], Operations: ['28+21=49']\nExploring Operation: 7/7=1, Resulting Numbers: [49, 1]\nGenerated Node #0,0,0: 48:[49, 1] Operation: 7/7=1\nMoving to Node #0,0,0\nCurrent State: 48:[49, 1], Operations: ['28+21=49', '7/7=1']\nExploring Operation: 49-1=48, Resulting Numbers: [48]\n48,48 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 13,
"nums": [
28,
7,
7,
21
],
"solution": [
"28+21=49",
"7/7=1",
"49-1=48"
],
"split": "train",
"target": 48
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [91, 7, 78, 20] using the four basic arithmetic operations (+, -, *, /) to reach 85.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 85:[91, 7, 78, 20], Operations: []\nExploring Operation: 91/7=13, Resulting Numbers: [78, 20, 13]\nGenerated Node #0,0: 85:[78, 20, 13] Operation: 91/7=13\nMoving to Node #0,0\nCurrent State: 85:[78, 20, 13], Operations: ['91/7=13']\nExploring Operation: 78+20=98, Resulting Numbers: [13, 98]\nGenerated Node #0,0,0: 85:[13, 98] Operation: 78+20=98\nMoving to Node #0,0,0\nCurrent State: 85:[13, 98], Operations: ['91/7=13', '78+20=98']\nExploring Operation: 98-13=85, Resulting Numbers: [85]\n85,85 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 14,
"nums": [
91,
7,
78,
20
],
"solution": [
"91/7=13",
"78+20=98",
"98-13=85"
],
"split": "train",
"target": 85
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 44, 6, 13] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 12/6=2, Resulting Numbers: [44, 13, 2]\nGenerated Node #0,0: 18:[44, 13, 2] Operation: 12/6=2\nMoving to Node #0,0\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 13*2=26, Resulting Numbers: [44, 26]\nGenerated Node #0,0,0: 18:[44, 26] Operation: 13*2=26\nMoving to Node #0,0,0\nCurrent State: 18:[44, 26], Operations: ['12/6=2', '13*2=26']\nExploring Operation: 44-26=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 15,
"nums": [
12,
44,
6,
13
],
"solution": [
"12/6=2",
"13*2=26",
"44-26=18"
],
"split": "train",
"target": 18
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [57, 95, 45, 98] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 91:[57, 95, 45, 98], Operations: []\nExploring Operation: 95-57=38, Resulting Numbers: [45, 98, 38]\nGenerated Node #0,0: 91:[45, 98, 38] Operation: 95-57=38\nMoving to Node #0,0\nCurrent State: 91:[45, 98, 38], Operations: ['95-57=38']\nExploring Operation: 98-45=53, Resulting Numbers: [38, 53]\nGenerated Node #0,0,0: 91:[38, 53] Operation: 98-45=53\nMoving to Node #0,0,0\nCurrent State: 91:[38, 53], Operations: ['95-57=38', '98-45=53']\nExploring Operation: 38+53=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 16,
"nums": [
57,
95,
45,
98
],
"solution": [
"95-57=38",
"98-45=53",
"38+53=91"
],
"split": "train",
"target": 91
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [16, 64, 2, 90] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 43:[16, 64, 2, 90], Operations: []\nExploring Operation: 64/16=4, Resulting Numbers: [2, 90, 4]\nGenerated Node #0,0: 43:[2, 90, 4] Operation: 64/16=4\nMoving to Node #0,0\nCurrent State: 43:[2, 90, 4], Operations: ['64/16=4']\nExploring Operation: 90-4=86, Resulting Numbers: [2, 86]\nGenerated Node #0,0,0: 43:[2, 86] Operation: 90-4=86\nMoving to Node #0,0,0\nCurrent State: 43:[2, 86], Operations: ['64/16=4', '90-4=86']\nExploring Operation: 86/2=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 17,
"nums": [
16,
64,
2,
90
],
"solution": [
"64/16=4",
"90-4=86",
"86/2=43"
],
"split": "train",
"target": 43
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [55, 66, 49, 90] using the four basic arithmetic operations (+, -, *, /) to reach 79.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 55-49=6, Resulting Numbers: [66, 90, 6]\nGenerated Node #0,0: 79:[66, 90, 6] Operation: 55-49=6\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 66/6=11, Resulting Numbers: [90, 11]\nGenerated Node #0,0,0: 79:[90, 11] Operation: 66/6=11\nMoving to Node #0,0,0\nCurrent State: 79:[90, 11], Operations: ['55-49=6', '66/6=11']\nExploring Operation: 90-11=79, Resulting Numbers: [79]\n79,79 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 18,
"nums": [
55,
66,
49,
90
],
"solution": [
"55-49=6",
"66/6=11",
"90-11=79"
],
"split": "train",
"target": 79
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 96, 10, 40] using the four basic arithmetic operations (+, -, *, /) to reach 63.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 63:[70, 96, 10, 40], Operations: []\nExploring Operation: 70/10=7, Resulting Numbers: [96, 40, 7]\nGenerated Node #0,0: 63:[96, 40, 7] Operation: 70/10=7\nMoving to Node #0,0\nCurrent State: 63:[96, 40, 7], Operations: ['70/10=7']\nExploring Operation: 96-40=56, Resulting Numbers: [7, 56]\nGenerated Node #0,0,0: 63:[7, 56] Operation: 96-40=56\nMoving to Node #0,0,0\nCurrent State: 63:[7, 56], Operations: ['70/10=7', '96-40=56']\nExploring Operation: 7+56=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 19,
"nums": [
70,
96,
10,
40
],
"solution": [
"70/10=7",
"96-40=56",
"7+56=63"
],
"split": "train",
"target": 63
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [77, 93, 44, 91] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 55:[77, 93, 44, 91], Operations: []\nExploring Operation: 93-91=2, Resulting Numbers: [77, 44, 2]\nGenerated Node #0,0: 55:[77, 44, 2] Operation: 93-91=2\nMoving to Node #0,0\nCurrent State: 55:[77, 44, 2], Operations: ['93-91=2']\nExploring Operation: 44/2=22, Resulting Numbers: [77, 22]\nGenerated Node #0,0,0: 55:[77, 22] Operation: 44/2=22\nMoving to Node #0,0,0\nCurrent State: 55:[77, 22], Operations: ['93-91=2', '44/2=22']\nExploring Operation: 77-22=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 20,
"nums": [
77,
93,
44,
91
],
"solution": [
"93-91=2",
"44/2=22",
"77-22=55"
],
"split": "train",
"target": 55
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [97, 10, 59, 63] using the four basic arithmetic operations (+, -, *, /) to reach 35.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 35:[97, 10, 59, 63], Operations: []\nExploring Operation: 97-10=87, Resulting Numbers: [59, 63, 87]\nGenerated Node #0,0: 35:[59, 63, 87] Operation: 97-10=87\nMoving to Node #0,0\nCurrent State: 35:[59, 63, 87], Operations: ['97-10=87']\nExploring Operation: 59+63=122, Resulting Numbers: [87, 122]\nGenerated Node #0,0,0: 35:[87, 122] Operation: 59+63=122\nMoving to Node #0,0,0\nCurrent State: 35:[87, 122], Operations: ['97-10=87', '59+63=122']\nExploring Operation: 122-87=35, Resulting Numbers: [35]\n35,35 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 21,
"nums": [
97,
10,
59,
63
],
"solution": [
"97-10=87",
"59+63=122",
"122-87=35"
],
"split": "train",
"target": 35
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 43, 33, 98] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 86:[64, 43, 33, 98], Operations: []\nExploring Operation: 64-43=21, Resulting Numbers: [33, 98, 21]\nGenerated Node #0,0: 86:[33, 98, 21] Operation: 64-43=21\nMoving to Node #0,0\nCurrent State: 86:[33, 98, 21], Operations: ['64-43=21']\nExploring Operation: 98-33=65, Resulting Numbers: [21, 65]\nGenerated Node #0,0,0: 86:[21, 65] Operation: 98-33=65\nMoving to Node #0,0,0\nCurrent State: 86:[21, 65], Operations: ['64-43=21', '98-33=65']\nExploring Operation: 21+65=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 22,
"nums": [
64,
43,
33,
98
],
"solution": [
"64-43=21",
"98-33=65",
"21+65=86"
],
"split": "train",
"target": 86
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [47, 51, 74, 4] using the four basic arithmetic operations (+, -, *, /) to reach 20.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 20:[47, 51, 74, 4], Operations: []\nExploring Operation: 47+51=98, Resulting Numbers: [74, 4, 98]\nGenerated Node #0,0: 20:[74, 4, 98] Operation: 47+51=98\nMoving to Node #0,0\nCurrent State: 20:[74, 4, 98], Operations: ['47+51=98']\nExploring Operation: 74+4=78, Resulting Numbers: [98, 78]\nGenerated Node #0,0,0: 20:[98, 78] Operation: 74+4=78\nMoving to Node #0,0,0\nCurrent State: 20:[98, 78], Operations: ['47+51=98', '74+4=78']\nExploring Operation: 98-78=20, Resulting Numbers: [20]\n20,20 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 23,
"nums": [
47,
51,
74,
4
],
"solution": [
"47+51=98",
"74+4=78",
"98-78=20"
],
"split": "train",
"target": 20
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [53, 35, 64, 22] using the four basic arithmetic operations (+, -, *, /) to reach 37.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 37:[53, 35, 64, 22], Operations: []\nExploring Operation: 64-53=11, Resulting Numbers: [35, 22, 11]\nGenerated Node #0,0: 37:[35, 22, 11] Operation: 64-53=11\nMoving to Node #0,0\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 22/11=2, Resulting Numbers: [35, 2]\nGenerated Node #0,0,0: 37:[35, 2] Operation: 22/11=2\nMoving to Node #0,0,0\nCurrent State: 37:[35, 2], Operations: ['64-53=11', '22/11=2']\nExploring Operation: 35+2=37, Resulting Numbers: [37]\n37,37 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 24,
"nums": [
53,
35,
64,
22
],
"solution": [
"64-53=11",
"22/11=2",
"35+2=37"
],
"split": "train",
"target": 37
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [36, 72, 58, 10] using the four basic arithmetic operations (+, -, *, /) to reach 50.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 50:[36, 72, 58, 10], Operations: []\nExploring Operation: 72/36=2, Resulting Numbers: [58, 10, 2]\nGenerated Node #0,0: 50:[58, 10, 2] Operation: 72/36=2\nMoving to Node #0,0\nCurrent State: 50:[58, 10, 2], Operations: ['72/36=2']\nExploring Operation: 58-10=48, Resulting Numbers: [2, 48]\nGenerated Node #0,0,0: 50:[2, 48] Operation: 58-10=48\nMoving to Node #0,0,0\nCurrent State: 50:[2, 48], Operations: ['72/36=2', '58-10=48']\nExploring Operation: 2+48=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 25,
"nums": [
36,
72,
58,
10
],
"solution": [
"72/36=2",
"58-10=48",
"2+48=50"
],
"split": "train",
"target": 50
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [19, 29, 30, 79] using the four basic arithmetic operations (+, -, *, /) to reach 99.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 99:[19, 29, 30, 79], Operations: []\nExploring Operation: 29-19=10, Resulting Numbers: [30, 79, 10]\nGenerated Node #0,0: 99:[30, 79, 10] Operation: 29-19=10\nMoving to Node #0,0\nCurrent State: 99:[30, 79, 10], Operations: ['29-19=10']\nExploring Operation: 30+79=109, Resulting Numbers: [10, 109]\nGenerated Node #0,0,0: 99:[10, 109] Operation: 30+79=109\nMoving to Node #0,0,0\nCurrent State: 99:[10, 109], Operations: ['29-19=10', '30+79=109']\nExploring Operation: 109-10=99, Resulting Numbers: [99]\n99,99 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 26,
"nums": [
19,
29,
30,
79
],
"solution": [
"29-19=10",
"30+79=109",
"109-10=99"
],
"split": "train",
"target": 99
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [60, 48, 21, 93] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 28:[60, 48, 21, 93], Operations: []\nExploring Operation: 60*21=1260, Resulting Numbers: [48, 93, 1260]\nGenerated Node #0,0: 28:[48, 93, 1260] Operation: 60*21=1260\nMoving to Node #0,0\nCurrent State: 28:[48, 93, 1260], Operations: ['60*21=1260']\nExploring Operation: 93-48=45, Resulting Numbers: [1260, 45]\nGenerated Node #0,0,0: 28:[1260, 45] Operation: 93-48=45\nMoving to Node #0,0,0\nCurrent State: 28:[1260, 45], Operations: ['60*21=1260', '93-48=45']\nExploring Operation: 1260/45=28, Resulting Numbers: [28]\n28,28 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 27,
"nums": [
60,
48,
21,
93
],
"solution": [
"60*21=1260",
"93-48=45",
"1260/45=28"
],
"split": "train",
"target": 28
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [41, 12, 4, 18] using the four basic arithmetic operations (+, -, *, /) to reach 56.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 41+18=59, Resulting Numbers: [12, 4, 59]\nGenerated Node #0,0: 56:[12, 4, 59] Operation: 41+18=59\nMoving to Node #0,0\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 12/4=3, Resulting Numbers: [59, 3]\nGenerated Node #0,0,0: 56:[59, 3] Operation: 12/4=3\nMoving to Node #0,0,0\nCurrent State: 56:[59, 3], Operations: ['41+18=59', '12/4=3']\nExploring Operation: 59-3=56, Resulting Numbers: [56]\n56,56 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 28,
"nums": [
41,
12,
4,
18
],
"solution": [
"41+18=59",
"12/4=3",
"59-3=56"
],
"split": "train",
"target": 56
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [1, 68, 47, 9] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 12:[1, 68, 47, 9], Operations: []\nExploring Operation: 1*68=68, Resulting Numbers: [47, 9, 68]\nGenerated Node #0,0: 12:[47, 9, 68] Operation: 1*68=68\nMoving to Node #0,0\nCurrent State: 12:[47, 9, 68], Operations: ['1*68=68']\nExploring Operation: 47+9=56, Resulting Numbers: [68, 56]\nGenerated Node #0,0,0: 12:[68, 56] Operation: 47+9=56\nMoving to Node #0,0,0\nCurrent State: 12:[68, 56], Operations: ['1*68=68', '47+9=56']\nExploring Operation: 68-56=12, Resulting Numbers: [12]\n12,12 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 29,
"nums": [
1,
68,
47,
9
],
"solution": [
"1*68=68",
"47+9=56",
"68-56=12"
],
"split": "train",
"target": 12
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [42, 73, 6, 67] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 54:[42, 73, 6, 67], Operations: []\nExploring Operation: 42+73=115, Resulting Numbers: [6, 67, 115]\nGenerated Node #0,0: 54:[6, 67, 115] Operation: 42+73=115\nMoving to Node #0,0\nCurrent State: 54:[6, 67, 115], Operations: ['42+73=115']\nExploring Operation: 67-6=61, Resulting Numbers: [115, 61]\nGenerated Node #0,0,0: 54:[115, 61] Operation: 67-6=61\nMoving to Node #0,0,0\nCurrent State: 54:[115, 61], Operations: ['42+73=115', '67-6=61']\nExploring Operation: 115-61=54, Resulting Numbers: [54]\n54,54 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 30,
"nums": [
42,
73,
6,
67
],
"solution": [
"42+73=115",
"67-6=61",
"115-61=54"
],
"split": "train",
"target": 54
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [11, 73, 92, 12] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 18:[11, 73, 92, 12], Operations: []\nExploring Operation: 73-11=62, Resulting Numbers: [92, 12, 62]\nGenerated Node #0,0: 18:[92, 12, 62] Operation: 73-11=62\nMoving to Node #0,0\nCurrent State: 18:[92, 12, 62], Operations: ['73-11=62']\nExploring Operation: 92-12=80, Resulting Numbers: [62, 80]\nGenerated Node #0,0,0: 18:[62, 80] Operation: 92-12=80\nMoving to Node #0,0,0\nCurrent State: 18:[62, 80], Operations: ['73-11=62', '92-12=80']\nExploring Operation: 80-62=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 31,
"nums": [
11,
73,
92,
12
],
"solution": [
"73-11=62",
"92-12=80",
"80-62=18"
],
"split": "train",
"target": 18
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [56, 19, 48, 64] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 75:[56, 19, 48, 64], Operations: []\nExploring Operation: 56-19=37, Resulting Numbers: [48, 64, 37]\nGenerated Node #0,0: 75:[48, 64, 37] Operation: 56-19=37\nMoving to Node #0,0\nCurrent State: 75:[48, 64, 37], Operations: ['56-19=37']\nExploring Operation: 48+64=112, Resulting Numbers: [37, 112]\nGenerated Node #0,0,0: 75:[37, 112] Operation: 48+64=112\nMoving to Node #0,0,0\nCurrent State: 75:[37, 112], Operations: ['56-19=37', '48+64=112']\nExploring Operation: 112-37=75, Resulting Numbers: [75]\n75,75 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 32,
"nums": [
56,
19,
48,
64
],
"solution": [
"56-19=37",
"48+64=112",
"112-37=75"
],
"split": "train",
"target": 75
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 4, 92, 80] using the four basic arithmetic operations (+, -, *, /) to reach 78.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 78:[75, 4, 92, 80], Operations: []\nExploring Operation: 92-80=12, Resulting Numbers: [75, 4, 12]\nGenerated Node #0,0: 78:[75, 4, 12] Operation: 92-80=12\nMoving to Node #0,0\nCurrent State: 78:[75, 4, 12], Operations: ['92-80=12']\nExploring Operation: 12/4=3, Resulting Numbers: [75, 3]\nGenerated Node #0,0,0: 78:[75, 3] Operation: 12/4=3\nMoving to Node #0,0,0\nCurrent State: 78:[75, 3], Operations: ['92-80=12', '12/4=3']\nExploring Operation: 75+3=78, Resulting Numbers: [78]\n78,78 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 33,
"nums": [
75,
4,
92,
80
],
"solution": [
"92-80=12",
"12/4=3",
"75+3=78"
],
"split": "train",
"target": 78
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [3, 43, 49, 28] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 54:[3, 43, 49, 28], Operations: []\nExploring Operation: 43-28=15, Resulting Numbers: [3, 49, 15]\nGenerated Node #0,0: 54:[3, 49, 15] Operation: 43-28=15\nMoving to Node #0,0\nCurrent State: 54:[3, 49, 15], Operations: ['43-28=15']\nExploring Operation: 15/3=5, Resulting Numbers: [49, 5]\nGenerated Node #0,0,0: 54:[49, 5] Operation: 15/3=5\nMoving to Node #0,0,0\nCurrent State: 54:[49, 5], Operations: ['43-28=15', '15/3=5']\nExploring Operation: 49+5=54, Resulting Numbers: [54]\n54,54 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 34,
"nums": [
3,
43,
49,
28
],
"solution": [
"43-28=15",
"15/3=5",
"49+5=54"
],
"split": "train",
"target": 54
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [63, 44, 9, 56] using the four basic arithmetic operations (+, -, *, /) to reach 84.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 84:[63, 44, 9, 56], Operations: []\nExploring Operation: 63-44=19, Resulting Numbers: [9, 56, 19]\nGenerated Node #0,0: 84:[9, 56, 19] Operation: 63-44=19\nMoving to Node #0,0\nCurrent State: 84:[9, 56, 19], Operations: ['63-44=19']\nExploring Operation: 9+56=65, Resulting Numbers: [19, 65]\nGenerated Node #0,0,0: 84:[19, 65] Operation: 9+56=65\nMoving to Node #0,0,0\nCurrent State: 84:[19, 65], Operations: ['63-44=19', '9+56=65']\nExploring Operation: 19+65=84, Resulting Numbers: [84]\n84,84 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 35,
"nums": [
63,
44,
9,
56
],
"solution": [
"63-44=19",
"9+56=65",
"19+65=84"
],
"split": "train",
"target": 84
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [29, 38, 47, 62] using the four basic arithmetic operations (+, -, *, /) to reach 82.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 82:[29, 38, 47, 62], Operations: []\nExploring Operation: 29+38=67, Resulting Numbers: [47, 62, 67]\nGenerated Node #0,0: 82:[47, 62, 67] Operation: 29+38=67\nMoving to Node #0,0\nCurrent State: 82:[47, 62, 67], Operations: ['29+38=67']\nExploring Operation: 62-47=15, Resulting Numbers: [67, 15]\nGenerated Node #0,0,0: 82:[67, 15] Operation: 62-47=15\nMoving to Node #0,0,0\nCurrent State: 82:[67, 15], Operations: ['29+38=67', '62-47=15']\nExploring Operation: 67+15=82, Resulting Numbers: [82]\n82,82 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 36,
"nums": [
29,
38,
47,
62
],
"solution": [
"29+38=67",
"62-47=15",
"67+15=82"
],
"split": "train",
"target": 82
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [84, 2, 14, 15] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 26:[84, 2, 14, 15], Operations: []\nExploring Operation: 14+15=29, Resulting Numbers: [84, 2, 29]\nGenerated Node #0,0: 26:[84, 2, 29] Operation: 14+15=29\nMoving to Node #0,0\nCurrent State: 26:[84, 2, 29], Operations: ['14+15=29']\nExploring Operation: 2*29=58, Resulting Numbers: [84, 58]\nGenerated Node #0,0,0: 26:[84, 58] Operation: 2*29=58\nMoving to Node #0,0,0\nCurrent State: 26:[84, 58], Operations: ['14+15=29', '2*29=58']\nExploring Operation: 84-58=26, Resulting Numbers: [26]\n26,26 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 37,
"nums": [
84,
2,
14,
15
],
"solution": [
"14+15=29",
"2*29=58",
"84-58=26"
],
"split": "train",
"target": 26
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 66, 54, 98] using the four basic arithmetic operations (+, -, *, /) to reach 22.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 22:[64, 66, 54, 98], Operations: []\nExploring Operation: 64+66=130, Resulting Numbers: [54, 98, 130]\nGenerated Node #0,0: 22:[54, 98, 130] Operation: 64+66=130\nMoving to Node #0,0\nCurrent State: 22:[54, 98, 130], Operations: ['64+66=130']\nExploring Operation: 54+98=152, Resulting Numbers: [130, 152]\nGenerated Node #0,0,0: 22:[130, 152] Operation: 54+98=152\nMoving to Node #0,0,0\nCurrent State: 22:[130, 152], Operations: ['64+66=130', '54+98=152']\nExploring Operation: 152-130=22, Resulting Numbers: [22]\n22,22 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 38,
"nums": [
64,
66,
54,
98
],
"solution": [
"64+66=130",
"54+98=152",
"152-130=22"
],
"split": "train",
"target": 22
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 66, 59, 2] using the four basic arithmetic operations (+, -, *, /) to reach 99.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 99:[7, 66, 59, 2], Operations: []\nExploring Operation: 7+59=66, Resulting Numbers: [66, 2, 66]\nGenerated Node #0,0: 99:[66, 2, 66] Operation: 7+59=66\nMoving to Node #0,0\nCurrent State: 99:[66, 2, 66], Operations: ['7+59=66']\nExploring Operation: 66/2=33, Resulting Numbers: [66, 33]\nGenerated Node #0,0,0: 99:[66, 33] Operation: 66/2=33\nMoving to Node #0,0,0\nCurrent State: 99:[66, 33], Operations: ['7+59=66', '66/2=33']\nExploring Operation: 66+33=99, Resulting Numbers: [99]\n99,99 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 39,
"nums": [
7,
66,
59,
2
],
"solution": [
"7+59=66",
"66/2=33",
"66+33=99"
],
"split": "train",
"target": 99
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [66, 38, 62, 68] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 55:[66, 38, 62, 68], Operations: []\nExploring Operation: 66-62=4, Resulting Numbers: [38, 68, 4]\nGenerated Node #0,0: 55:[38, 68, 4] Operation: 66-62=4\nMoving to Node #0,0\nCurrent State: 55:[38, 68, 4], Operations: ['66-62=4']\nExploring Operation: 68/4=17, Resulting Numbers: [38, 17]\nGenerated Node #0,0,0: 55:[38, 17] Operation: 68/4=17\nMoving to Node #0,0,0\nCurrent State: 55:[38, 17], Operations: ['66-62=4', '68/4=17']\nExploring Operation: 38+17=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 40,
"nums": [
66,
38,
62,
68
],
"solution": [
"66-62=4",
"68/4=17",
"38+17=55"
],
"split": "train",
"target": 55
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [79, 30, 4, 11] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 79*4=316, Resulting Numbers: [30, 11, 316]\nGenerated Node #0,0: 26:[30, 11, 316] Operation: 79*4=316\nMoving to Node #0,0\nCurrent State: 26:[30, 11, 316], Operations: ['79*4=316']\nExploring Operation: 316-30=286, Resulting Numbers: [11, 286]\nGenerated Node #0,0,0: 26:[11, 286] Operation: 316-30=286\nMoving to Node #0,0,0\nCurrent State: 26:[11, 286], Operations: ['79*4=316', '316-30=286']\nExploring Operation: 286/11=26, Resulting Numbers: [26]\n26,26 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 41,
"nums": [
79,
30,
4,
11
],
"solution": [
"79*4=316",
"316-30=286",
"286/11=26"
],
"split": "train",
"target": 26
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [20, 34, 68, 48] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 58:[20, 34, 68, 48], Operations: []\nExploring Operation: 20*34=680, Resulting Numbers: [68, 48, 680]\nGenerated Node #0,0: 58:[68, 48, 680] Operation: 20*34=680\nMoving to Node #0,0\nCurrent State: 58:[68, 48, 680], Operations: ['20*34=680']\nExploring Operation: 680/68=10, Resulting Numbers: [48, 10]\nGenerated Node #0,0,0: 58:[48, 10] Operation: 680/68=10\nMoving to Node #0,0,0\nCurrent State: 58:[48, 10], Operations: ['20*34=680', '680/68=10']\nExploring Operation: 48+10=58, Resulting Numbers: [58]\n58,58 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 42,
"nums": [
20,
34,
68,
48
],
"solution": [
"20*34=680",
"680/68=10",
"48+10=58"
],
"split": "train",
"target": 58
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 69, 20, 23] using the four basic arithmetic operations (+, -, *, /) to reach 42.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 42:[24, 69, 20, 23], Operations: []\nExploring Operation: 69-24=45, Resulting Numbers: [20, 23, 45]\nGenerated Node #0,0: 42:[20, 23, 45] Operation: 69-24=45\nMoving to Node #0,0\nCurrent State: 42:[20, 23, 45], Operations: ['69-24=45']\nExploring Operation: 23-20=3, Resulting Numbers: [45, 3]\nGenerated Node #0,0,0: 42:[45, 3] Operation: 23-20=3\nMoving to Node #0,0,0\nCurrent State: 42:[45, 3], Operations: ['69-24=45', '23-20=3']\nExploring Operation: 45-3=42, Resulting Numbers: [42]\n42,42 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 43,
"nums": [
24,
69,
20,
23
],
"solution": [
"69-24=45",
"23-20=3",
"45-3=42"
],
"split": "train",
"target": 42
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [82, 77, 43, 53] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 91:[82, 77, 43, 53], Operations: []\nExploring Operation: 82-77=5, Resulting Numbers: [43, 53, 5]\nGenerated Node #0,0: 91:[43, 53, 5] Operation: 82-77=5\nMoving to Node #0,0\nCurrent State: 91:[43, 53, 5], Operations: ['82-77=5']\nExploring Operation: 43+53=96, Resulting Numbers: [5, 96]\nGenerated Node #0,0,0: 91:[5, 96] Operation: 43+53=96\nMoving to Node #0,0,0\nCurrent State: 91:[5, 96], Operations: ['82-77=5', '43+53=96']\nExploring Operation: 96-5=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 44,
"nums": [
82,
77,
43,
53
],
"solution": [
"82-77=5",
"43+53=96",
"96-5=91"
],
"split": "train",
"target": 91
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [54, 88, 72, 70] using the four basic arithmetic operations (+, -, *, /) to reach 20.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 20:[54, 88, 72, 70], Operations: []\nExploring Operation: 72-70=2, Resulting Numbers: [54, 88, 2]\nGenerated Node #0,0: 20:[54, 88, 2] Operation: 72-70=2\nMoving to Node #0,0\nCurrent State: 20:[54, 88, 2], Operations: ['72-70=2']\nExploring Operation: 54*2=108, Resulting Numbers: [88, 108]\nGenerated Node #0,0,0: 20:[88, 108] Operation: 54*2=108\nMoving to Node #0,0,0\nCurrent State: 20:[88, 108], Operations: ['72-70=2', '54*2=108']\nExploring Operation: 108-88=20, Resulting Numbers: [20]\n20,20 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 45,
"nums": [
54,
88,
72,
70
],
"solution": [
"72-70=2",
"54*2=108",
"108-88=20"
],
"split": "train",
"target": 20
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [56, 42, 44, 36] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 44-42=2, Resulting Numbers: [56, 36, 2]\nGenerated Node #0,0: 76:[56, 36, 2] Operation: 44-42=2\nMoving to Node #0,0\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 56*2=112, Resulting Numbers: [36, 112]\nGenerated Node #0,0,0: 76:[36, 112] Operation: 56*2=112\nMoving to Node #0,0,0\nCurrent State: 76:[36, 112], Operations: ['44-42=2', '56*2=112']\nExploring Operation: 112-36=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 46,
"nums": [
56,
42,
44,
36
],
"solution": [
"44-42=2",
"56*2=112",
"112-36=76"
],
"split": "train",
"target": 76
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [38, 80, 46, 64] using the four basic arithmetic operations (+, -, *, /) to reach 68.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 68:[38, 80, 46, 64], Operations: []\nExploring Operation: 80-38=42, Resulting Numbers: [46, 64, 42]\nGenerated Node #0,0: 68:[46, 64, 42] Operation: 80-38=42\nMoving to Node #0,0\nCurrent State: 68:[46, 64, 42], Operations: ['80-38=42']\nExploring Operation: 46+64=110, Resulting Numbers: [42, 110]\nGenerated Node #0,0,0: 68:[42, 110] Operation: 46+64=110\nMoving to Node #0,0,0\nCurrent State: 68:[42, 110], Operations: ['80-38=42', '46+64=110']\nExploring Operation: 110-42=68, Resulting Numbers: [68]\n68,68 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 47,
"nums": [
38,
80,
46,
64
],
"solution": [
"80-38=42",
"46+64=110",
"110-42=68"
],
"split": "train",
"target": 68
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [9, 15, 1, 45] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9*45=405, Resulting Numbers: [15, 1, 405]\nGenerated Node #0,0: 26:[15, 1, 405] Operation: 9*45=405\nMoving to Node #0,0\nCurrent State: 26:[15, 1, 405], Operations: ['9*45=405']\nExploring Operation: 405/15=27, Resulting Numbers: [1, 27]\nGenerated Node #0,0,0: 26:[1, 27] Operation: 405/15=27\nMoving to Node #0,0,0\nCurrent State: 26:[1, 27], Operations: ['9*45=405', '405/15=27']\nExploring Operation: 27-1=26, Resulting Numbers: [26]\n26,26 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 48,
"nums": [
9,
15,
1,
45
],
"solution": [
"9*45=405",
"405/15=27",
"27-1=26"
],
"split": "train",
"target": 26
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [78, 90, 96, 29] using the four basic arithmetic operations (+, -, *, /) to reach 84.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 78+96=174, Resulting Numbers: [90, 29, 174]\nGenerated Node #0,0: 84:[90, 29, 174] Operation: 78+96=174\nMoving to Node #0,0\nCurrent State: 84:[90, 29, 174], Operations: ['78+96=174']\nExploring Operation: 174/29=6, Resulting Numbers: [90, 6]\nGenerated Node #0,0,0: 84:[90, 6] Operation: 174/29=6\nMoving to Node #0,0,0\nCurrent State: 84:[90, 6], Operations: ['78+96=174', '174/29=6']\nExploring Operation: 90-6=84, Resulting Numbers: [84]\n84,84 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 49,
"nums": [
78,
90,
96,
29
],
"solution": [
"78+96=174",
"174/29=6",
"90-6=84"
],
"split": "train",
"target": 84
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 76, 6, 64] using the four basic arithmetic operations (+, -, *, /) to reach 72.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 76-24=52, Resulting Numbers: [6, 64, 52]\nGenerated Node #0,0: 72:[6, 64, 52] Operation: 76-24=52\nMoving to Node #0,0\nCurrent State: 72:[6, 64, 52], Operations: ['76-24=52']\nExploring Operation: 64-52=12, Resulting Numbers: [6, 12]\nGenerated Node #0,0,0: 72:[6, 12] Operation: 64-52=12\nMoving to Node #0,0,0\nCurrent State: 72:[6, 12], Operations: ['76-24=52', '64-52=12']\nExploring Operation: 6*12=72, Resulting Numbers: [72]\n72,72 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 50,
"nums": [
24,
76,
6,
64
],
"solution": [
"76-24=52",
"64-52=12",
"6*12=72"
],
"split": "train",
"target": 72
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [79, 7, 22, 64] using the four basic arithmetic operations (+, -, *, /) to reach 83.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 83:[79, 7, 22, 64], Operations: []\nExploring Operation: 79-64=15, Resulting Numbers: [7, 22, 15]\nGenerated Node #0,0: 83:[7, 22, 15] Operation: 79-64=15\nMoving to Node #0,0\nCurrent State: 83:[7, 22, 15], Operations: ['79-64=15']\nExploring Operation: 7*15=105, Resulting Numbers: [22, 105]\nGenerated Node #0,0,0: 83:[22, 105] Operation: 7*15=105\nMoving to Node #0,0,0\nCurrent State: 83:[22, 105], Operations: ['79-64=15', '7*15=105']\nExploring Operation: 105-22=83, Resulting Numbers: [83]\n83,83 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 51,
"nums": [
79,
7,
22,
64
],
"solution": [
"79-64=15",
"7*15=105",
"105-22=83"
],
"split": "train",
"target": 83
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [10, 67, 81, 90] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 86:[10, 67, 81, 90], Operations: []\nExploring Operation: 10+67=77, Resulting Numbers: [81, 90, 77]\nGenerated Node #0,0: 86:[81, 90, 77] Operation: 10+67=77\nMoving to Node #0,0\nCurrent State: 86:[81, 90, 77], Operations: ['10+67=77']\nExploring Operation: 90-81=9, Resulting Numbers: [77, 9]\nGenerated Node #0,0,0: 86:[77, 9] Operation: 90-81=9\nMoving to Node #0,0,0\nCurrent State: 86:[77, 9], Operations: ['10+67=77', '90-81=9']\nExploring Operation: 77+9=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 52,
"nums": [
10,
67,
81,
90
],
"solution": [
"10+67=77",
"90-81=9",
"77+9=86"
],
"split": "train",
"target": 86
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 55, 72, 30] using the four basic arithmetic operations (+, -, *, /) to reach 67.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 30-24=6, Resulting Numbers: [55, 72, 6]\nGenerated Node #0,0: 67:[55, 72, 6] Operation: 30-24=6\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 72/6=12, Resulting Numbers: [55, 12]\nGenerated Node #0,0,0: 67:[55, 12] Operation: 72/6=12\nMoving to Node #0,0,0\nCurrent State: 67:[55, 12], Operations: ['30-24=6', '72/6=12']\nExploring Operation: 55+12=67, Resulting Numbers: [67]\n67,67 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 53,
"nums": [
24,
55,
72,
30
],
"solution": [
"30-24=6",
"72/6=12",
"55+12=67"
],
"split": "train",
"target": 67
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [74, 56, 15, 69] using the four basic arithmetic operations (+, -, *, /) to reach 59.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 59:[74, 56, 15, 69], Operations: []\nExploring Operation: 74-69=5, Resulting Numbers: [56, 15, 5]\nGenerated Node #0,0: 59:[56, 15, 5] Operation: 74-69=5\nMoving to Node #0,0\nCurrent State: 59:[56, 15, 5], Operations: ['74-69=5']\nExploring Operation: 15/5=3, Resulting Numbers: [56, 3]\nGenerated Node #0,0,0: 59:[56, 3] Operation: 15/5=3\nMoving to Node #0,0,0\nCurrent State: 59:[56, 3], Operations: ['74-69=5', '15/5=3']\nExploring Operation: 56+3=59, Resulting Numbers: [59]\n59,59 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 54,
"nums": [
74,
56,
15,
69
],
"solution": [
"74-69=5",
"15/5=3",
"56+3=59"
],
"split": "train",
"target": 59
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [21, 43, 1, 4] using the four basic arithmetic operations (+, -, *, /) to reach 42.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 42:[21, 43, 1, 4], Operations: []\nExploring Operation: 21*4=84, Resulting Numbers: [43, 1, 84]\nGenerated Node #0,0: 42:[43, 1, 84] Operation: 21*4=84\nMoving to Node #0,0\nCurrent State: 42:[43, 1, 84], Operations: ['21*4=84']\nExploring Operation: 43-1=42, Resulting Numbers: [84, 42]\nGenerated Node #0,0,0: 42:[84, 42] Operation: 43-1=42\nMoving to Node #0,0,0\nCurrent State: 42:[84, 42], Operations: ['21*4=84', '43-1=42']\nExploring Operation: 84-42=42, Resulting Numbers: [42]\n42,42 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 55,
"nums": [
21,
43,
1,
4
],
"solution": [
"21*4=84",
"43-1=42",
"84-42=42"
],
"split": "train",
"target": 42
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [80, 90, 40, 67] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 25:[80, 90, 40, 67], Operations: []\nExploring Operation: 80/40=2, Resulting Numbers: [90, 67, 2]\nGenerated Node #0,0: 25:[90, 67, 2] Operation: 80/40=2\nMoving to Node #0,0\nCurrent State: 25:[90, 67, 2], Operations: ['80/40=2']\nExploring Operation: 90-67=23, Resulting Numbers: [2, 23]\nGenerated Node #0,0,0: 25:[2, 23] Operation: 90-67=23\nMoving to Node #0,0,0\nCurrent State: 25:[2, 23], Operations: ['80/40=2', '90-67=23']\nExploring Operation: 2+23=25, Resulting Numbers: [25]\n25,25 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 56,
"nums": [
80,
90,
40,
67
],
"solution": [
"80/40=2",
"90-67=23",
"2+23=25"
],
"split": "train",
"target": 25
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 98, 41, 29] using the four basic arithmetic operations (+, -, *, /) to reach 93.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 93:[7, 98, 41, 29], Operations: []\nExploring Operation: 7+98=105, Resulting Numbers: [41, 29, 105]\nGenerated Node #0,0: 93:[41, 29, 105] Operation: 7+98=105\nMoving to Node #0,0\nCurrent State: 93:[41, 29, 105], Operations: ['7+98=105']\nExploring Operation: 41-29=12, Resulting Numbers: [105, 12]\nGenerated Node #0,0,0: 93:[105, 12] Operation: 41-29=12\nMoving to Node #0,0,0\nCurrent State: 93:[105, 12], Operations: ['7+98=105', '41-29=12']\nExploring Operation: 105-12=93, Resulting Numbers: [93]\n93,93 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 57,
"nums": [
7,
98,
41,
29
],
"solution": [
"7+98=105",
"41-29=12",
"105-12=93"
],
"split": "train",
"target": 93
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [91, 18, 86, 52] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 38:[91, 18, 86, 52], Operations: []\nExploring Operation: 91-86=5, Resulting Numbers: [18, 52, 5]\nGenerated Node #0,0: 38:[18, 52, 5] Operation: 91-86=5\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 18*5=90, Resulting Numbers: [52, 90]\nGenerated Node #0,0,0: 38:[52, 90] Operation: 18*5=90\nMoving to Node #0,0,0\nCurrent State: 38:[52, 90], Operations: ['91-86=5', '18*5=90']\nExploring Operation: 90-52=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 58,
"nums": [
91,
18,
86,
52
],
"solution": [
"91-86=5",
"18*5=90",
"90-52=38"
],
"split": "train",
"target": 38
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [48, 62, 9, 15] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 25:[48, 62, 9, 15], Operations: []\nExploring Operation: 48+62=110, Resulting Numbers: [9, 15, 110]\nGenerated Node #0,0: 25:[9, 15, 110] Operation: 48+62=110\nMoving to Node #0,0\nCurrent State: 25:[9, 15, 110], Operations: ['48+62=110']\nExploring Operation: 9*15=135, Resulting Numbers: [110, 135]\nGenerated Node #0,0,0: 25:[110, 135] Operation: 9*15=135\nMoving to Node #0,0,0\nCurrent State: 25:[110, 135], Operations: ['48+62=110', '9*15=135']\nExploring Operation: 135-110=25, Resulting Numbers: [25]\n25,25 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 59,
"nums": [
48,
62,
9,
15
],
"solution": [
"48+62=110",
"9*15=135",
"135-110=25"
],
"split": "train",
"target": 25
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 71, 58, 59] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 58:[12, 71, 58, 59], Operations: []\nExploring Operation: 71-12=59, Resulting Numbers: [58, 59, 59]\nGenerated Node #0,0: 58:[58, 59, 59] Operation: 71-12=59\nMoving to Node #0,0\nCurrent State: 58:[58, 59, 59], Operations: ['71-12=59']\nExploring Operation: 58+59=117, Resulting Numbers: [59, 117]\nGenerated Node #0,0,0: 58:[59, 117] Operation: 58+59=117\nMoving to Node #0,0,0\nCurrent State: 58:[59, 117], Operations: ['71-12=59', '58+59=117']\nExploring Operation: 117-59=58, Resulting Numbers: [58]\n58,58 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 60,
"nums": [
12,
71,
58,
59
],
"solution": [
"71-12=59",
"58+59=117",
"117-59=58"
],
"split": "train",
"target": 58
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [18, 20, 20, 34] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 18:[18, 20, 20, 34], Operations: []\nExploring Operation: 20-20=0, Resulting Numbers: [18, 34, 0]\nGenerated Node #0,0: 18:[18, 34, 0] Operation: 20-20=0\nMoving to Node #0,0\nCurrent State: 18:[18, 34, 0], Operations: ['20-20=0']\nExploring Operation: 34*0=0, Resulting Numbers: [18, 0]\nGenerated Node #0,0,0: 18:[18, 0] Operation: 34*0=0\nMoving to Node #0,0,0\nCurrent State: 18:[18, 0], Operations: ['20-20=0', '34*0=0']\nExploring Operation: 18+0=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 61,
"nums": [
18,
20,
20,
34
],
"solution": [
"20-20=0",
"34*0=0",
"18+0=18"
],
"split": "train",
"target": 18
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [67, 39, 67, 27] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 12:[67, 39, 67, 27], Operations: []\nExploring Operation: 67+39=106, Resulting Numbers: [67, 27, 106]\nGenerated Node #0,0: 12:[67, 27, 106] Operation: 67+39=106\nMoving to Node #0,0\nCurrent State: 12:[67, 27, 106], Operations: ['67+39=106']\nExploring Operation: 67+27=94, Resulting Numbers: [106, 94]\nGenerated Node #0,0,0: 12:[106, 94] Operation: 67+27=94\nMoving to Node #0,0,0\nCurrent State: 12:[106, 94], Operations: ['67+39=106', '67+27=94']\nExploring Operation: 106-94=12, Resulting Numbers: [12]\n12,12 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 62,
"nums": [
67,
39,
67,
27
],
"solution": [
"67+39=106",
"67+27=94",
"106-94=12"
],
"split": "train",
"target": 12
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [50, 1, 68, 26] using the four basic arithmetic operations (+, -, *, /) to reach 93.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 93:[50, 1, 68, 26], Operations: []\nExploring Operation: 50+1=51, Resulting Numbers: [68, 26, 51]\nGenerated Node #0,0: 93:[68, 26, 51] Operation: 50+1=51\nMoving to Node #0,0\nCurrent State: 93:[68, 26, 51], Operations: ['50+1=51']\nExploring Operation: 68-26=42, Resulting Numbers: [51, 42]\nGenerated Node #0,0,0: 93:[51, 42] Operation: 68-26=42\nMoving to Node #0,0,0\nCurrent State: 93:[51, 42], Operations: ['50+1=51', '68-26=42']\nExploring Operation: 51+42=93, Resulting Numbers: [93]\n93,93 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 63,
"nums": [
50,
1,
68,
26
],
"solution": [
"50+1=51",
"68-26=42",
"51+42=93"
],
"split": "train",
"target": 93
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [67, 1, 60, 50] using the four basic arithmetic operations (+, -, *, /) to reach 44.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 44:[67, 1, 60, 50], Operations: []\nExploring Operation: 67-1=66, Resulting Numbers: [60, 50, 66]\nGenerated Node #0,0: 44:[60, 50, 66] Operation: 67-1=66\nMoving to Node #0,0\nCurrent State: 44:[60, 50, 66], Operations: ['67-1=66']\nExploring Operation: 60+50=110, Resulting Numbers: [66, 110]\nGenerated Node #0,0,0: 44:[66, 110] Operation: 60+50=110\nMoving to Node #0,0,0\nCurrent State: 44:[66, 110], Operations: ['67-1=66', '60+50=110']\nExploring Operation: 110-66=44, Resulting Numbers: [44]\n44,44 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 64,
"nums": [
67,
1,
60,
50
],
"solution": [
"67-1=66",
"60+50=110",
"110-66=44"
],
"split": "train",
"target": 44
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 79, 69, 35] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 18:[7, 79, 69, 35], Operations: []\nExploring Operation: 7+79=86, Resulting Numbers: [69, 35, 86]\nGenerated Node #0,0: 18:[69, 35, 86] Operation: 7+79=86\nMoving to Node #0,0\nCurrent State: 18:[69, 35, 86], Operations: ['7+79=86']\nExploring Operation: 69+35=104, Resulting Numbers: [86, 104]\nGenerated Node #0,0,0: 18:[86, 104] Operation: 69+35=104\nMoving to Node #0,0,0\nCurrent State: 18:[86, 104], Operations: ['7+79=86', '69+35=104']\nExploring Operation: 104-86=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 65,
"nums": [
7,
79,
69,
35
],
"solution": [
"7+79=86",
"69+35=104",
"104-86=18"
],
"split": "train",
"target": 18
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [76, 32, 60, 72] using the four basic arithmetic operations (+, -, *, /) to reach 40.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 40:[76, 32, 60, 72], Operations: []\nExploring Operation: 76+32=108, Resulting Numbers: [60, 72, 108]\nGenerated Node #0,0: 40:[60, 72, 108] Operation: 76+32=108\nMoving to Node #0,0\nCurrent State: 40:[60, 72, 108], Operations: ['76+32=108']\nExploring Operation: 60*72=4320, Resulting Numbers: [108, 4320]\nGenerated Node #0,0,0: 40:[108, 4320] Operation: 60*72=4320\nMoving to Node #0,0,0\nCurrent State: 40:[108, 4320], Operations: ['76+32=108', '60*72=4320']\nExploring Operation: 4320/108=40, Resulting Numbers: [40]\n40,40 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 66,
"nums": [
76,
32,
60,
72
],
"solution": [
"76+32=108",
"60*72=4320",
"4320/108=40"
],
"split": "train",
"target": 40
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [44, 6, 38, 88] using the four basic arithmetic operations (+, -, *, /) to reach 88.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 88:[44, 6, 38, 88], Operations: []\nExploring Operation: 44-6=38, Resulting Numbers: [38, 88, 38]\nGenerated Node #0,0: 88:[38, 88, 38] Operation: 44-6=38\nMoving to Node #0,0\nCurrent State: 88:[38, 88, 38], Operations: ['44-6=38']\nExploring Operation: 38+88=126, Resulting Numbers: [38, 126]\nGenerated Node #0,0,0: 88:[38, 126] Operation: 38+88=126\nMoving to Node #0,0,0\nCurrent State: 88:[38, 126], Operations: ['44-6=38', '38+88=126']\nExploring Operation: 126-38=88, Resulting Numbers: [88]\n88,88 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 67,
"nums": [
44,
6,
38,
88
],
"solution": [
"44-6=38",
"38+88=126",
"126-38=88"
],
"split": "train",
"target": 88
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [2, 33, 53, 71] using the four basic arithmetic operations (+, -, *, /) to reach 23.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 23:[2, 33, 53, 71], Operations: []\nExploring Operation: 71-33=38, Resulting Numbers: [2, 53, 38]\nGenerated Node #0,0: 23:[2, 53, 38] Operation: 71-33=38\nMoving to Node #0,0\nCurrent State: 23:[2, 53, 38], Operations: ['71-33=38']\nExploring Operation: 2*38=76, Resulting Numbers: [53, 76]\nGenerated Node #0,0,0: 23:[53, 76] Operation: 2*38=76\nMoving to Node #0,0,0\nCurrent State: 23:[53, 76], Operations: ['71-33=38', '2*38=76']\nExploring Operation: 76-53=23, Resulting Numbers: [23]\n23,23 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 68,
"nums": [
2,
33,
53,
71
],
"solution": [
"71-33=38",
"2*38=76",
"76-53=23"
],
"split": "train",
"target": 23
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [94, 13, 73, 70] using the four basic arithmetic operations (+, -, *, /) to reach 27.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 27:[94, 13, 73, 70], Operations: []\nExploring Operation: 94-13=81, Resulting Numbers: [73, 70, 81]\nGenerated Node #0,0: 27:[73, 70, 81] Operation: 94-13=81\nMoving to Node #0,0\nCurrent State: 27:[73, 70, 81], Operations: ['94-13=81']\nExploring Operation: 73-70=3, Resulting Numbers: [81, 3]\nGenerated Node #0,0,0: 27:[81, 3] Operation: 73-70=3\nMoving to Node #0,0,0\nCurrent State: 27:[81, 3], Operations: ['94-13=81', '73-70=3']\nExploring Operation: 81/3=27, Resulting Numbers: [27]\n27,27 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 69,
"nums": [
94,
13,
73,
70
],
"solution": [
"94-13=81",
"73-70=3",
"81/3=27"
],
"split": "train",
"target": 27
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [54, 78, 95, 36] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 43:[54, 78, 95, 36], Operations: []\nExploring Operation: 78*36=2808, Resulting Numbers: [54, 95, 2808]\nGenerated Node #0,0: 43:[54, 95, 2808] Operation: 78*36=2808\nMoving to Node #0,0\nCurrent State: 43:[54, 95, 2808], Operations: ['78*36=2808']\nExploring Operation: 2808/54=52, Resulting Numbers: [95, 52]\nGenerated Node #0,0,0: 43:[95, 52] Operation: 2808/54=52\nMoving to Node #0,0,0\nCurrent State: 43:[95, 52], Operations: ['78*36=2808', '2808/54=52']\nExploring Operation: 95-52=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 70,
"nums": [
54,
78,
95,
36
],
"solution": [
"78*36=2808",
"2808/54=52",
"95-52=43"
],
"split": "train",
"target": 43
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 67, 98, 22] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 75:[7, 67, 98, 22], Operations: []\nExploring Operation: 98/7=14, Resulting Numbers: [67, 22, 14]\nGenerated Node #0,0: 75:[67, 22, 14] Operation: 98/7=14\nMoving to Node #0,0\nCurrent State: 75:[67, 22, 14], Operations: ['98/7=14']\nExploring Operation: 67+22=89, Resulting Numbers: [14, 89]\nGenerated Node #0,0,0: 75:[14, 89] Operation: 67+22=89\nMoving to Node #0,0,0\nCurrent State: 75:[14, 89], Operations: ['98/7=14', '67+22=89']\nExploring Operation: 89-14=75, Resulting Numbers: [75]\n75,75 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 71,
"nums": [
7,
67,
98,
22
],
"solution": [
"98/7=14",
"67+22=89",
"89-14=75"
],
"split": "train",
"target": 75
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 89, 3, 55] using the four basic arithmetic operations (+, -, *, /) to reach 80.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 80:[61, 89, 3, 55], Operations: []\nExploring Operation: 89-61=28, Resulting Numbers: [3, 55, 28]\nGenerated Node #0,0: 80:[3, 55, 28] Operation: 89-61=28\nMoving to Node #0,0\nCurrent State: 80:[3, 55, 28], Operations: ['89-61=28']\nExploring Operation: 55-3=52, Resulting Numbers: [28, 52]\nGenerated Node #0,0,0: 80:[28, 52] Operation: 55-3=52\nMoving to Node #0,0,0\nCurrent State: 80:[28, 52], Operations: ['89-61=28', '55-3=52']\nExploring Operation: 28+52=80, Resulting Numbers: [80]\n80,80 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 72,
"nums": [
61,
89,
3,
55
],
"solution": [
"89-61=28",
"55-3=52",
"28+52=80"
],
"split": "train",
"target": 80
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [38, 13, 63, 82] using the four basic arithmetic operations (+, -, *, /) to reach 32.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 32:[38, 13, 63, 82], Operations: []\nExploring Operation: 38+13=51, Resulting Numbers: [63, 82, 51]\nGenerated Node #0,0: 32:[63, 82, 51] Operation: 38+13=51\nMoving to Node #0,0\nCurrent State: 32:[63, 82, 51], Operations: ['38+13=51']\nExploring Operation: 82-63=19, Resulting Numbers: [51, 19]\nGenerated Node #0,0,0: 32:[51, 19] Operation: 82-63=19\nMoving to Node #0,0,0\nCurrent State: 32:[51, 19], Operations: ['38+13=51', '82-63=19']\nExploring Operation: 51-19=32, Resulting Numbers: [32]\n32,32 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 73,
"nums": [
38,
13,
63,
82
],
"solution": [
"38+13=51",
"82-63=19",
"51-19=32"
],
"split": "train",
"target": 32
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [41, 49, 51, 8] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 25:[41, 49, 51, 8], Operations: []\nExploring Operation: 51-49=2, Resulting Numbers: [41, 8, 2]\nGenerated Node #0,0: 25:[41, 8, 2] Operation: 51-49=2\nMoving to Node #0,0\nCurrent State: 25:[41, 8, 2], Operations: ['51-49=2']\nExploring Operation: 8*2=16, Resulting Numbers: [41, 16]\nGenerated Node #0,0,0: 25:[41, 16] Operation: 8*2=16\nMoving to Node #0,0,0\nCurrent State: 25:[41, 16], Operations: ['51-49=2', '8*2=16']\nExploring Operation: 41-16=25, Resulting Numbers: [25]\n25,25 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 74,
"nums": [
41,
49,
51,
8
],
"solution": [
"51-49=2",
"8*2=16",
"41-16=25"
],
"split": "train",
"target": 25
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [39, 19, 40, 90] using the four basic arithmetic operations (+, -, *, /) to reach 70.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 70:[39, 19, 40, 90], Operations: []\nExploring Operation: 39-19=20, Resulting Numbers: [40, 90, 20]\nGenerated Node #0,0: 70:[40, 90, 20] Operation: 39-19=20\nMoving to Node #0,0\nCurrent State: 70:[40, 90, 20], Operations: ['39-19=20']\nExploring Operation: 90-40=50, Resulting Numbers: [20, 50]\nGenerated Node #0,0,0: 70:[20, 50] Operation: 90-40=50\nMoving to Node #0,0,0\nCurrent State: 70:[20, 50], Operations: ['39-19=20', '90-40=50']\nExploring Operation: 20+50=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 75,
"nums": [
39,
19,
40,
90
],
"solution": [
"39-19=20",
"90-40=50",
"20+50=70"
],
"split": "train",
"target": 70
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 68, 23, 16] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 58:[70, 68, 23, 16], Operations: []\nExploring Operation: 23-16=7, Resulting Numbers: [70, 68, 7]\nGenerated Node #0,0: 58:[70, 68, 7] Operation: 23-16=7\nMoving to Node #0,0\nCurrent State: 58:[70, 68, 7], Operations: ['23-16=7']\nExploring Operation: 70/7=10, Resulting Numbers: [68, 10]\nGenerated Node #0,0,0: 58:[68, 10] Operation: 70/7=10\nMoving to Node #0,0,0\nCurrent State: 58:[68, 10], Operations: ['23-16=7', '70/7=10']\nExploring Operation: 68-10=58, Resulting Numbers: [58]\n58,58 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 76,
"nums": [
70,
68,
23,
16
],
"solution": [
"23-16=7",
"70/7=10",
"68-10=58"
],
"split": "train",
"target": 58
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 35, 63, 40] using the four basic arithmetic operations (+, -, *, /) to reach 48.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 40-35=5, Resulting Numbers: [75, 63, 5]\nGenerated Node #0,0: 48:[75, 63, 5] Operation: 40-35=5\nMoving to Node #0,0\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 75/5=15, Resulting Numbers: [63, 15]\nGenerated Node #0,0,0: 48:[63, 15] Operation: 75/5=15\nMoving to Node #0,0,0\nCurrent State: 48:[63, 15], Operations: ['40-35=5', '75/5=15']\nExploring Operation: 63-15=48, Resulting Numbers: [48]\n48,48 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 77,
"nums": [
75,
35,
63,
40
],
"solution": [
"40-35=5",
"75/5=15",
"63-15=48"
],
"split": "train",
"target": 48
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [90, 13, 12, 12] using the four basic arithmetic operations (+, -, *, /) to reach 13.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 13:[90, 13, 12, 12], Operations: []\nExploring Operation: 12-12=0, Resulting Numbers: [90, 13, 0]\nGenerated Node #0,0: 13:[90, 13, 0] Operation: 12-12=0\nMoving to Node #0,0\nCurrent State: 13:[90, 13, 0], Operations: ['12-12=0']\nExploring Operation: 90*0=0, Resulting Numbers: [13, 0]\nGenerated Node #0,0,0: 13:[13, 0] Operation: 90*0=0\nMoving to Node #0,0,0\nCurrent State: 13:[13, 0], Operations: ['12-12=0', '90*0=0']\nExploring Operation: 13+0=13, Resulting Numbers: [13]\n13,13 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 78,
"nums": [
90,
13,
12,
12
],
"solution": [
"12-12=0",
"90*0=0",
"13+0=13"
],
"split": "train",
"target": 13
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 14, 7, 15] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 12:[75, 14, 7, 15], Operations: []\nExploring Operation: 75/15=5, Resulting Numbers: [14, 7, 5]\nGenerated Node #0,0: 12:[14, 7, 5] Operation: 75/15=5\nMoving to Node #0,0\nCurrent State: 12:[14, 7, 5], Operations: ['75/15=5']\nExploring Operation: 14-7=7, Resulting Numbers: [5, 7]\nGenerated Node #0,0,0: 12:[5, 7] Operation: 14-7=7\nMoving to Node #0,0,0\nCurrent State: 12:[5, 7], Operations: ['75/15=5', '14-7=7']\nExploring Operation: 5+7=12, Resulting Numbers: [12]\n12,12 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 79,
"nums": [
75,
14,
7,
15
],
"solution": [
"75/15=5",
"14-7=7",
"5+7=12"
],
"split": "train",
"target": 12
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [3, 81, 72, 80] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 76:[3, 81, 72, 80], Operations: []\nExploring Operation: 3+81=84, Resulting Numbers: [72, 80, 84]\nGenerated Node #0,0: 76:[72, 80, 84] Operation: 3+81=84\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 84], Operations: ['3+81=84']\nExploring Operation: 80-72=8, Resulting Numbers: [84, 8]\nGenerated Node #0,0,0: 76:[84, 8] Operation: 80-72=8\nMoving to Node #0,0,0\nCurrent State: 76:[84, 8], Operations: ['3+81=84', '80-72=8']\nExploring Operation: 84-8=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 80,
"nums": [
3,
81,
72,
80
],
"solution": [
"3+81=84",
"80-72=8",
"84-8=76"
],
"split": "train",
"target": 76
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 27, 84, 8] using the four basic arithmetic operations (+, -, *, /) to reach 53.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 53:[12, 27, 84, 8], Operations: []\nExploring Operation: 12+27=39, Resulting Numbers: [84, 8, 39]\nGenerated Node #0,0: 53:[84, 8, 39] Operation: 12+27=39\nMoving to Node #0,0\nCurrent State: 53:[84, 8, 39], Operations: ['12+27=39']\nExploring Operation: 84+8=92, Resulting Numbers: [39, 92]\nGenerated Node #0,0,0: 53:[39, 92] Operation: 84+8=92\nMoving to Node #0,0,0\nCurrent State: 53:[39, 92], Operations: ['12+27=39', '84+8=92']\nExploring Operation: 92-39=53, Resulting Numbers: [53]\n53,53 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 81,
"nums": [
12,
27,
84,
8
],
"solution": [
"12+27=39",
"84+8=92",
"92-39=53"
],
"split": "train",
"target": 53
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [39, 68, 79, 16] using the four basic arithmetic operations (+, -, *, /) to reach 66.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 66:[39, 68, 79, 16], Operations: []\nExploring Operation: 68-39=29, Resulting Numbers: [79, 16, 29]\nGenerated Node #0,0: 66:[79, 16, 29] Operation: 68-39=29\nMoving to Node #0,0\nCurrent State: 66:[79, 16, 29], Operations: ['68-39=29']\nExploring Operation: 79+16=95, Resulting Numbers: [29, 95]\nGenerated Node #0,0,0: 66:[29, 95] Operation: 79+16=95\nMoving to Node #0,0,0\nCurrent State: 66:[29, 95], Operations: ['68-39=29', '79+16=95']\nExploring Operation: 95-29=66, Resulting Numbers: [66]\n66,66 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 82,
"nums": [
39,
68,
79,
16
],
"solution": [
"68-39=29",
"79+16=95",
"95-29=66"
],
"split": "train",
"target": 66
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [99, 15, 67, 15] using the four basic arithmetic operations (+, -, *, /) to reach 32.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 32:[99, 15, 67, 15], Operations: []\nExploring Operation: 99+15=114, Resulting Numbers: [67, 15, 114]\nGenerated Node #0,0: 32:[67, 15, 114] Operation: 99+15=114\nMoving to Node #0,0\nCurrent State: 32:[67, 15, 114], Operations: ['99+15=114']\nExploring Operation: 67+15=82, Resulting Numbers: [114, 82]\nGenerated Node #0,0,0: 32:[114, 82] Operation: 67+15=82\nMoving to Node #0,0,0\nCurrent State: 32:[114, 82], Operations: ['99+15=114', '67+15=82']\nExploring Operation: 114-82=32, Resulting Numbers: [32]\n32,32 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 83,
"nums": [
99,
15,
67,
15
],
"solution": [
"99+15=114",
"67+15=82",
"114-82=32"
],
"split": "train",
"target": 32
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [31, 3, 54, 89] using the four basic arithmetic operations (+, -, *, /) to reach 63.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 63:[31, 3, 54, 89], Operations: []\nExploring Operation: 31-3=28, Resulting Numbers: [54, 89, 28]\nGenerated Node #0,0: 63:[54, 89, 28] Operation: 31-3=28\nMoving to Node #0,0\nCurrent State: 63:[54, 89, 28], Operations: ['31-3=28']\nExploring Operation: 89-54=35, Resulting Numbers: [28, 35]\nGenerated Node #0,0,0: 63:[28, 35] Operation: 89-54=35\nMoving to Node #0,0,0\nCurrent State: 63:[28, 35], Operations: ['31-3=28', '89-54=35']\nExploring Operation: 28+35=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 84,
"nums": [
31,
3,
54,
89
],
"solution": [
"31-3=28",
"89-54=35",
"28+35=63"
],
"split": "train",
"target": 63
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [87, 97, 12, 66] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 54:[87, 97, 12, 66], Operations: []\nExploring Operation: 97-87=10, Resulting Numbers: [12, 66, 10]\nGenerated Node #0,0: 54:[12, 66, 10] Operation: 97-87=10\nMoving to Node #0,0\nCurrent State: 54:[12, 66, 10], Operations: ['97-87=10']\nExploring Operation: 12*10=120, Resulting Numbers: [66, 120]\nGenerated Node #0,0,0: 54:[66, 120] Operation: 12*10=120\nMoving to Node #0,0,0\nCurrent State: 54:[66, 120], Operations: ['97-87=10', '12*10=120']\nExploring Operation: 120-66=54, Resulting Numbers: [54]\n54,54 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 85,
"nums": [
87,
97,
12,
66
],
"solution": [
"97-87=10",
"12*10=120",
"120-66=54"
],
"split": "train",
"target": 54
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [99, 52, 65, 4] using the four basic arithmetic operations (+, -, *, /) to reach 82.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 82:[99, 52, 65, 4], Operations: []\nExploring Operation: 99+52=151, Resulting Numbers: [65, 4, 151]\nGenerated Node #0,0: 82:[65, 4, 151] Operation: 99+52=151\nMoving to Node #0,0\nCurrent State: 82:[65, 4, 151], Operations: ['99+52=151']\nExploring Operation: 65+4=69, Resulting Numbers: [151, 69]\nGenerated Node #0,0,0: 82:[151, 69] Operation: 65+4=69\nMoving to Node #0,0,0\nCurrent State: 82:[151, 69], Operations: ['99+52=151', '65+4=69']\nExploring Operation: 151-69=82, Resulting Numbers: [82]\n82,82 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 86,
"nums": [
99,
52,
65,
4
],
"solution": [
"99+52=151",
"65+4=69",
"151-69=82"
],
"split": "train",
"target": 82
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [60, 15, 71, 8] using the four basic arithmetic operations (+, -, *, /) to reach 59.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 59:[60, 15, 71, 8], Operations: []\nExploring Operation: 60/15=4, Resulting Numbers: [71, 8, 4]\nGenerated Node #0,0: 59:[71, 8, 4] Operation: 60/15=4\nMoving to Node #0,0\nCurrent State: 59:[71, 8, 4], Operations: ['60/15=4']\nExploring Operation: 71-8=63, Resulting Numbers: [4, 63]\nGenerated Node #0,0,0: 59:[4, 63] Operation: 71-8=63\nMoving to Node #0,0,0\nCurrent State: 59:[4, 63], Operations: ['60/15=4', '71-8=63']\nExploring Operation: 63-4=59, Resulting Numbers: [59]\n59,59 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 87,
"nums": [
60,
15,
71,
8
],
"solution": [
"60/15=4",
"71-8=63",
"63-4=59"
],
"split": "train",
"target": 59
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [57, 29, 31, 57] using the four basic arithmetic operations (+, -, *, /) to reach 61.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 61:[57, 29, 31, 57], Operations: []\nExploring Operation: 57/57=1, Resulting Numbers: [29, 31, 1]\nGenerated Node #0,0: 61:[29, 31, 1] Operation: 57/57=1\nMoving to Node #0,0\nCurrent State: 61:[29, 31, 1], Operations: ['57/57=1']\nExploring Operation: 29+31=60, Resulting Numbers: [1, 60]\nGenerated Node #0,0,0: 61:[1, 60] Operation: 29+31=60\nMoving to Node #0,0,0\nCurrent State: 61:[1, 60], Operations: ['57/57=1', '29+31=60']\nExploring Operation: 1+60=61, Resulting Numbers: [61]\n61,61 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 88,
"nums": [
57,
29,
31,
57
],
"solution": [
"57/57=1",
"29+31=60",
"1+60=61"
],
"split": "train",
"target": 61
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 72, 96, 41] using the four basic arithmetic operations (+, -, *, /) to reach 73.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 73:[75, 72, 96, 41], Operations: []\nExploring Operation: 75-72=3, Resulting Numbers: [96, 41, 3]\nGenerated Node #0,0: 73:[96, 41, 3] Operation: 75-72=3\nMoving to Node #0,0\nCurrent State: 73:[96, 41, 3], Operations: ['75-72=3']\nExploring Operation: 96/3=32, Resulting Numbers: [41, 32]\nGenerated Node #0,0,0: 73:[41, 32] Operation: 96/3=32\nMoving to Node #0,0,0\nCurrent State: 73:[41, 32], Operations: ['75-72=3', '96/3=32']\nExploring Operation: 41+32=73, Resulting Numbers: [73]\n73,73 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 89,
"nums": [
75,
72,
96,
41
],
"solution": [
"75-72=3",
"96/3=32",
"41+32=73"
],
"split": "train",
"target": 73
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [4, 12, 47, 6] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 12/4=3, Resulting Numbers: [47, 6, 3]\nGenerated Node #0,0: 38:[47, 6, 3] Operation: 12/4=3\nMoving to Node #0,0\nCurrent State: 38:[47, 6, 3], Operations: ['12/4=3']\nExploring Operation: 47-6=41, Resulting Numbers: [3, 41]\nGenerated Node #0,0,0: 38:[3, 41] Operation: 47-6=41\nMoving to Node #0,0,0\nCurrent State: 38:[3, 41], Operations: ['12/4=3', '47-6=41']\nExploring Operation: 41-3=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 90,
"nums": [
4,
12,
47,
6
],
"solution": [
"12/4=3",
"47-6=41",
"41-3=38"
],
"split": "train",
"target": 38
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [80, 27, 8, 61] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 91:[80, 27, 8, 61], Operations: []\nExploring Operation: 27+61=88, Resulting Numbers: [80, 8, 88]\nGenerated Node #0,0: 91:[80, 8, 88] Operation: 27+61=88\nMoving to Node #0,0\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 88/8=11, Resulting Numbers: [80, 11]\nGenerated Node #0,0,0: 91:[80, 11] Operation: 88/8=11\nMoving to Node #0,0,0\nCurrent State: 91:[80, 11], Operations: ['27+61=88', '88/8=11']\nExploring Operation: 80+11=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 91,
"nums": [
80,
27,
8,
61
],
"solution": [
"27+61=88",
"88/8=11",
"80+11=91"
],
"split": "train",
"target": 91
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 25, 80, 75] using the four basic arithmetic operations (+, -, *, /) to reach 31.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 31:[61, 25, 80, 75], Operations: []\nExploring Operation: 61-25=36, Resulting Numbers: [80, 75, 36]\nGenerated Node #0,0: 31:[80, 75, 36] Operation: 61-25=36\nMoving to Node #0,0\nCurrent State: 31:[80, 75, 36], Operations: ['61-25=36']\nExploring Operation: 80-75=5, Resulting Numbers: [36, 5]\nGenerated Node #0,0,0: 31:[36, 5] Operation: 80-75=5\nMoving to Node #0,0,0\nCurrent State: 31:[36, 5], Operations: ['61-25=36', '80-75=5']\nExploring Operation: 36-5=31, Resulting Numbers: [31]\n31,31 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 92,
"nums": [
61,
25,
80,
75
],
"solution": [
"61-25=36",
"80-75=5",
"36-5=31"
],
"split": "train",
"target": 31
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [27, 24, 41, 15] using the four basic arithmetic operations (+, -, *, /) to reach 44.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 24-15=9, Resulting Numbers: [27, 41, 9]\nGenerated Node #0,0: 44:[27, 41, 9] Operation: 24-15=9\nMoving to Node #0,0\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 27/9=3, Resulting Numbers: [41, 3]\nGenerated Node #0,0,0: 44:[41, 3] Operation: 27/9=3\nMoving to Node #0,0,0\nCurrent State: 44:[41, 3], Operations: ['24-15=9', '27/9=3']\nExploring Operation: 41+3=44, Resulting Numbers: [44]\n44,44 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 93,
"nums": [
27,
24,
41,
15
],
"solution": [
"24-15=9",
"27/9=3",
"41+3=44"
],
"split": "train",
"target": 44
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [46, 35, 50, 42] using the four basic arithmetic operations (+, -, *, /) to reach 73.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 73:[46, 35, 50, 42], Operations: []\nExploring Operation: 46+35=81, Resulting Numbers: [50, 42, 81]\nGenerated Node #0,0: 73:[50, 42, 81] Operation: 46+35=81\nMoving to Node #0,0\nCurrent State: 73:[50, 42, 81], Operations: ['46+35=81']\nExploring Operation: 50-42=8, Resulting Numbers: [81, 8]\nGenerated Node #0,0,0: 73:[81, 8] Operation: 50-42=8\nMoving to Node #0,0,0\nCurrent State: 73:[81, 8], Operations: ['46+35=81', '50-42=8']\nExploring Operation: 81-8=73, Resulting Numbers: [73]\n73,73 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 94,
"nums": [
46,
35,
50,
42
],
"solution": [
"46+35=81",
"50-42=8",
"81-8=73"
],
"split": "train",
"target": 73
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 53, 69, 10] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 55:[61, 53, 69, 10], Operations: []\nExploring Operation: 61+53=114, Resulting Numbers: [69, 10, 114]\nGenerated Node #0,0: 55:[69, 10, 114] Operation: 61+53=114\nMoving to Node #0,0\nCurrent State: 55:[69, 10, 114], Operations: ['61+53=114']\nExploring Operation: 69-10=59, Resulting Numbers: [114, 59]\nGenerated Node #0,0,0: 55:[114, 59] Operation: 69-10=59\nMoving to Node #0,0,0\nCurrent State: 55:[114, 59], Operations: ['61+53=114', '69-10=59']\nExploring Operation: 114-59=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 95,
"nums": [
61,
53,
69,
10
],
"solution": [
"61+53=114",
"69-10=59",
"114-59=55"
],
"split": "train",
"target": 55
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 5, 67, 99] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 38:[64, 5, 67, 99], Operations: []\nExploring Operation: 67-64=3, Resulting Numbers: [5, 99, 3]\nGenerated Node #0,0: 38:[5, 99, 3] Operation: 67-64=3\nMoving to Node #0,0\nCurrent State: 38:[5, 99, 3], Operations: ['67-64=3']\nExploring Operation: 99/3=33, Resulting Numbers: [5, 33]\nGenerated Node #0,0,0: 38:[5, 33] Operation: 99/3=33\nMoving to Node #0,0,0\nCurrent State: 38:[5, 33], Operations: ['67-64=3', '99/3=33']\nExploring Operation: 5+33=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 96,
"nums": [
64,
5,
67,
99
],
"solution": [
"67-64=3",
"99/3=33",
"5+33=38"
],
"split": "train",
"target": 38
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [48, 24, 18, 30] using the four basic arithmetic operations (+, -, *, /) to reach 36.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 36:[48, 24, 18, 30], Operations: []\nExploring Operation: 48-24=24, Resulting Numbers: [18, 30, 24]\nGenerated Node #0,0: 36:[18, 30, 24] Operation: 48-24=24\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 24], Operations: ['48-24=24']\nExploring Operation: 30-18=12, Resulting Numbers: [24, 12]\nGenerated Node #0,0,0: 36:[24, 12] Operation: 30-18=12\nMoving to Node #0,0,0\nCurrent State: 36:[24, 12], Operations: ['48-24=24', '30-18=12']\nExploring Operation: 24+12=36, Resulting Numbers: [36]\n36,36 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 97,
"nums": [
48,
24,
18,
30
],
"solution": [
"48-24=24",
"30-18=12",
"24+12=36"
],
"split": "train",
"target": 36
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [11, 32, 65, 22] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 86:[11, 32, 65, 22], Operations: []\nExploring Operation: 11+32=43, Resulting Numbers: [65, 22, 43]\nGenerated Node #0,0: 86:[65, 22, 43] Operation: 11+32=43\nMoving to Node #0,0\nCurrent State: 86:[65, 22, 43], Operations: ['11+32=43']\nExploring Operation: 65-22=43, Resulting Numbers: [43, 43]\nGenerated Node #0,0,0: 86:[43, 43] Operation: 65-22=43\nMoving to Node #0,0,0\nCurrent State: 86:[43, 43], Operations: ['11+32=43', '65-22=43']\nExploring Operation: 43+43=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 98,
"nums": [
11,
32,
65,
22
],
"solution": [
"11+32=43",
"65-22=43",
"43+43=86"
],
"split": "train",
"target": 86
}
|
countdown
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [96, 29, 13, 45] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
}
] |
arithmetic
|
{
"ground_truth": "Current State: 26:[96, 29, 13, 45], Operations: []\nExploring Operation: 45-13=32, Resulting Numbers: [96, 29, 32]\nGenerated Node #0,0: 26:[96, 29, 32] Operation: 45-13=32\nMoving to Node #0,0\nCurrent State: 26:[96, 29, 32], Operations: ['45-13=32']\nExploring Operation: 96/32=3, Resulting Numbers: [29, 3]\nGenerated Node #0,0,0: 26:[29, 3] Operation: 96/32=3\nMoving to Node #0,0,0\nCurrent State: 26:[29, 3], Operations: ['45-13=32', '96/32=3']\nExploring Operation: 29-3=26, Resulting Numbers: [26]\n26,26 equal: Goal Reached",
"style": "rule"
}
|
{
"index": 99,
"nums": [
96,
29,
13,
45
],
"solution": [
"45-13=32",
"96/32=3",
"29-3=26"
],
"split": "train",
"target": 26
}
|
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