numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 29
17.1k
| completion_token
int64 27
15.4k
| prompt_token
int64 120
6.15k
| text
stringlengths 660
17.7k
|
|---|---|---|---|---|---|---|
[
81,
51,
1,
91
] | 40 |
390
|
{
"formula": '(81 - 1 + 51) - 91'
}
| 2,173 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 51, 1, 91,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(81 - 1 + 51) - 91'
}<|im_end|>
|
[
7,
9,
4,
85
] | 91 |
420
|
{
"formula": '85 + 9 - 7 + 4',
}
| 1,289 | 121 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 9, 4, 85,
target: 91
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 91',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 + 9 - 7 + 4',
}<|im_end|>
|
[
9,
65,
9,
45
] | 99 |
425
|
{
"formula": "(65 - 45 - 9) * 9"
}
| 935 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 65, 9, 45,
target: 99
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 99',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(65 - 45 - 9) * 9"
}<|im_end|>
|
[
30,
56,
46,
81
] | 78 |
434
|
{
"formula": '81 - (30 / (56 - 46))'
}
| 810 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 56, 46, 81,
target: 78
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 78',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '81 - (30 / (56 - 46))'
}<|im_end|>
|
[
18,
1,
3,
48
] | 70 |
428
|
{
"formula": '18 + 1 + 3 + 48'
}
| 1,192 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 1, 3, 48,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '18 + 1 + 3 + 48'
}<|im_end|>
|
[
81,
27,
54,
74
] | 79 |
99
|
{
"formula": '((81 + 54) / 27) + 74'
}
| 8,131 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 27, 54, 74,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((81 + 54) / 27) + 74'
}<|im_end|>
|
[
72,
76,
57,
59
] | 80 |
158
|
{
"formula": '76*(59-57)-72'
}
| 7,618 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 72, 76, 57, 59,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '76*(59-57)-72'
}<|im_end|>
|
[
31,
25,
4,
68
] | 12 |
383
|
{
"formula": '(68 + 4) / (31 - 25)'
}
| 3,122 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 31, 25, 4, 68,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(68 + 4) / (31 - 25)'
}<|im_end|>
|
[
36,
80,
44,
24
] | 34 |
422
|
{
"formula": "(80/(44-36)) +24"
}
| 1,662 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 80, 44, 24,
target: 34
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 34',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(80/(44-36)) +24"
}<|im_end|>
|
[
51,
3,
6,
17
] | 54 |
124
|
{
"formula": "(6 * 3) * (51 / 17)"
}
| 10,848 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 3, 6, 17,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(6 * 3) * (51 / 17)"
}<|im_end|>
|
[
92,
87,
15,
93
] | 72 |
441
|
{
"formula": "(93 - 92) * (87 - 15)"
}
| 532 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 92, 87, 15, 93,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(93 - 92) * (87 - 15)"
}<|im_end|>
|
[
53,
29,
25,
41
] | 98 |
414
|
{
"formula": '53 + (29 + (41 - 25))'
}
| 1,468 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 53, 29, 25, 41,
target: 98
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 98',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '53 + (29 + (41 - 25))'
}<|im_end|>
|
[
83,
99,
22,
71
] | 89 |
429
|
{
"formula": '99 - (71 - (83 - 22))',
}
| 1,467 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 83, 99, 22, 71,
target: 89
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 89',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '99 - (71 - (83 - 22))',
}<|im_end|>
|
[
52,
85,
2,
94
] | 90 |
445
|
{
"formula": '(85 - (94 / 2)) + 52'
}
| 1,795 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 52, 85, 2, 94,
target: 90
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 90',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(85 - (94 / 2)) + 52'
}<|im_end|>
|
[
83,
74,
70,
66
] | 36 |
439
|
{
"formula": "(83 - 74) * (70 - 66)"
}
| 746 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 83, 74, 70, 66,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(83 - 74) * (70 - 66)"
}<|im_end|>
|
[
13,
50,
30,
82
] | 89 |
379
|
{
"formula": '82 + 50 - 30 - 13',
}
| 3,368 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 13, 50, 30, 82,
target: 89
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 89',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '82 + 50 - 30 - 13',
}<|im_end|>
|
[
18,
64,
15,
37
] | 81 |
246
|
{
"formula": '(37 - 64) * (15 - 18)'
}
| 3,925 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 64, 15, 37,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(37 - 64) * (15 - 18)'
}<|im_end|>
|
[
73,
88,
20,
2
] | 69 |
391
|
{
"formula": '73 - (88 / (20 + 2))',
}
| 2,886 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 73, 88, 20, 2,
target: 69
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 69',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 - (88 / (20 + 2))',
}<|im_end|>
|
[
9,
83,
58,
50
] | 84 |
418
|
{
"formula": "83 - 58 + 50 + 9",
}
| 2,714 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 83, 58, 50,
target: 84
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 84',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "83 - 58 + 50 + 9",
}<|im_end|>
|
[
12,
3,
20,
12
] | 22 |
199
|
{
"formula": '20 + 3 - (12 / 12)'
}
| 1,343 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 12, 3, 20, 12,
target: 22
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 22',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '20 + 3 - (12 / 12)'
}<|im_end|>
|
[
50,
39,
44,
55
] | 45 |
405
|
{
"formula": '55 - (50 / (44 - 39))'
}
| 2,489 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 50, 39, 44, 55,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '55 - (50 / (44 - 39))'
}<|im_end|>
|
[
73,
23,
3,
81
] | 45 |
435
|
{
"formula": "(23 - (81 - 73)) * 3"
}
| 1,943 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 73, 23, 3, 81,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(23 - (81 - 73)) * 3"
}<|im_end|>
|
[
44,
84,
50,
68
] | 10 |
421
|
{
"formula": "(84 - 50) - (68 - 44)"
}
| 2,663 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 84, 50, 68,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(84 - 50) - (68 - 44)"
}<|im_end|>
|
[
6,
77,
23,
2
] | 33 |
454
|
{
"formula": '((77 - 23) / 2) + 6',
}
| 1,853 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 77, 23, 2,
target: 33
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 33',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((77 - 23) / 2) + 6',
}<|im_end|>
|
[
69,
83,
54,
46
] | 19 |
164
|
{
"formula": '(69 + 83) / (54 - 46)'
}
| 10,469 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 69, 83, 54, 46,
target: 19
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 19',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(69 + 83) / (54 - 46)'
}<|im_end|>
|
[
42,
27,
26,
14
] | 57 |
401
|
{
"formula": '42 + 27 + 14 - 26',
}
| 2,356 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 42, 27, 26, 14,
target: 57
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 57',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '42 + 27 + 14 - 26',
}<|im_end|>
|
[
33,
89,
95,
35
] | 12 |
453
|
{
"formula": "(95 - 89)*(35 - 33)"
}
| 526 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 33, 89, 95, 35,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(95 - 89)*(35 - 33)"
}<|im_end|>
|
[
18,
54,
40,
11
] | 43 |
384
|
{
"formula": "54 - 40 + 18 + 11"
}
| 3,505 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 54, 40, 11,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "54 - 40 + 18 + 11"
}<|im_end|>
|
[
41,
55,
47,
75
] | 14 |
463
|
{
"formula": '(75 - 55) - (47 - 41)',
}
| 1,080 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 41, 55, 47, 75,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(75 - 55) - (47 - 41)',
}<|im_end|>
|
[
4,
5,
100,
91
] | 29 |
448
|
{
"formula": '100 - (91 - (5 * 4))',
}
| 718 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 5, 100, 91,
target: 29
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 29',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '100 - (91 - (5 * 4))',
}<|im_end|>
|
[
97,
10,
69,
11
] | 56 |
386
|
{
"formula": '97 - (10 * 11 - 69)'
}
| 3,437 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 97, 10, 69, 11,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '97 - (10 * 11 - 69)'
}<|im_end|>
|
[
44,
16,
11,
8
] | 66 |
452
|
{
"formula": '44 + (16 / 8 * 11)'
}
| 1,043 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 16, 11, 8,
target: 66
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 66',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '44 + (16 / 8 * 11)'
}<|im_end|>
|
[
39,
71,
98,
10
] | 73 |
432
|
{
"formula": '71 + (98 / (39 + 10))'
}
| 2,789 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 39, 71, 98, 10,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '71 + (98 / (39 + 10))'
}<|im_end|>
|
[
22,
1,
2,
64
] | 22 |
388
|
{
"formula": '64 - (22 - 1) * 2',
}
| 4,092 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 22, 1, 2, 64,
target: 22
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 22',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '64 - (22 - 1) * 2',
}<|im_end|>
|
[
70,
3,
70,
85
] | 75 |
412
|
{
"formula": '70 + ((85 - 70) / 3)'
}
| 2,782 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 70, 3, 70, 85,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '70 + ((85 - 70) / 3)'
}<|im_end|>
|
[
47,
29,
32,
2
] | 53 |
470
|
{
"formula": '47 + (32 - 29) * 2'
}
| 474 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 47, 29, 32, 2,
target: 53
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 53',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '47 + (32 - 29) * 2'
}<|im_end|>
|
[
49,
39,
70,
4
] | 51 |
466
|
{
"formula": '49 + (70 / (39 - 4))'
}
| 838 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 39, 70, 4,
target: 51
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 51',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '49 + (70 / (39 - 4))'
}<|im_end|>
|
[
29,
62,
97,
70
] | 64 |
465
|
{
"formula": '(70 + 29) - (97 - 62)'
}
| 919 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 62, 97, 70,
target: 64
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 64',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(70 + 29) - (97 - 62)'
}<|im_end|>
|
[
48,
53,
79,
64
] | 42 |
459
|
{
"formula": '(79 + 64) - (48 + 53)'
}
| 1,218 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 48, 53, 79, 64,
target: 42
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 42',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(79 + 64) - (48 + 53)'
}<|im_end|>
|
[
43,
21,
6,
96
] | 36 |
277
|
{
"formula": '((43 - 21) * 6) - 96 = 36'
}
| 9,521 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 43, 21, 6, 96,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((43 - 21) * 6) - 96 = 36'
}<|im_end|>
|
[
1,
48,
24,
49
] | 100 |
477
|
{
"formula": '(49 + 1) * (48 / 24)'
}
| 1,663 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 48, 24, 49,
target: 100
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 100',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(49 + 1) * (48 / 24)'
}<|im_end|>
|
[
24,
74,
94,
25
] | 69 |
476
|
{
"formula": '94 - (74 - (24 + 25))'
}
| 3,189 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 24, 74, 94, 25,
target: 69
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 69',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '94 - (74 - (24 + 25))'
}<|im_end|>
|
[
24,
17,
42,
95
] | 94 |
451
|
{
"formula": '95 - 42 + 24 + 17'
}
| 2,260 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 24, 17, 42, 95,
target: 94
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 94',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '95 - 42 + 24 + 17'
}<|im_end|>
|
[
52,
86,
45,
13
] | 45 |
438
|
{
"formula": '(52 / 13) + (86 - 45)',
}
| 3,233 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 52, 86, 45, 13,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(52 / 13) + (86 - 45)',
}<|im_end|>
|
[
11,
8,
3,
49
] | 10 |
407
|
) is 117/11 ≈10.63, which is over. Not exact.
Hmm, maybe another way. Let's think of 10 as (something) minus (something else). Like 11 -1 =10. How to get 1 from 8,3,49? 8/(3+ something). Wait, 8/(49 - something). Not sure.
Alternatively, 49 - (something) =10 → something is 39. How to get 39 from 11,8,3. Let's see, 11*3 +6? But 8-2=6, but no 2. Alternatively, 8*5 -1? Not helpful.
Wait, 8*4 +7=39? But where to get 4 and 7? Hmm.
Alternatively, 11 + 8 + (something) = 10? No, that's too big.
Wait, maybe using subtraction and division. Let's see, (49 - 11) =38. Then 38 divided by (8 -3) is 38/5 =7.6. Not helpful.
Hmm, maybe (8 - (49/(11 +3)))? Let's compute denominator first: 11+3=14. 49/14=3.5. Then 8-3.5=4.5. Not 10.
Alternatively, (11 - (49/(8+3))) → 8+3=11. 49/11≈4.45. 11-4.45≈6.55. Not helpful.
Wait, maybe (3 * 8) - (49 / 11). Let's see, 24 - 4.45≈19.55. Not 10.
Hmm, perhaps I'm missing something. Let me try another angle. Let's see, maybe combining 49 and 3 first. 49 -3=46. Then 46 - (11 +8)=27. No.
Alternatively, 49 divided by something. Let's see, 49 divided by 7 is 7. How to get 7? 8 - (3 - (something))? Not sure. Wait, 11 - (8 +3)=0. Not helpful.
Wait, maybe (8 * 3) - (49 -11). Let's see, 24 - (38)= -14. No.
Hmm, maybe (49 - 3*11) =49-33=16. Then 16 -8=8. Not 10.
Alternatively, (49 - (11* (8 -3))). Let's see, 8-3=5, 11*5=55. 49-55= -6. Not helpful.
Wait, maybe (11 + 8 +3) - (49 - something). Wait, 11+8+3=22. 22 - (49 - x) =10 → 22 -49 +x =10 → x= 37. But I don't have 37.
Hmm, maybe I need to use division in a better way. Let's see, 49 divided by (something) plus others. Like 49/(something) + something else.
Wait, 49 divided by 7 is 7. If I can get 7 from 11,8,3. Let's see, 8 - (3 - (something))? Not sure. Alternatively, 11 - (8 +3)=0. No.
Alternatively, (8 +3) =11. Then 49 divided by 11 is about 4.45. Then 11 (the original 11?) minus that? Wait, but numbers can be used once.
Wait, maybe ( (49 - 11) / (8 -3) ) → 38 divided by 5 is 7.6. Not helpful.
Hmm, maybe (3 * (8 - (49/11))) → but that gives 3*(8 -4.454)=3*(3.545)=10.63, which is close but not exact.
Wait, but maybe fractions can be used. Let me check exact fractions.
Let me try that again. 49 divided by 11 is 49/11. Then 8 minus that is (88/11 -49/11)=39/11. Multiply by 3 gives (117)/11. That's exactly 10.636..., which isn't 10. So that's not it.
Hmm, maybe another approach. Let's see, 10 can be written as (something) * (something else). Like 5*2, but how?
Alternatively, 20/2. Maybe 49 - (something) =20, then divided by something. Not sure.
Wait, 49 minus 39 is 10. How to get 39 from 11,8,3. Let's see, 11*3 +6. But 8-2=6, but no 2. Alternatively, 8*4 +7. Hmm, 4 and 7? Not sure.
Wait, 8* (something) plus something. 8*4 is 32 plus 7 is 39. But how to get 4 and 7 from 11 and 3. 11-3=8, but that's not helpful.
Alternatively, 3*(13) =39. But how to get 13 from 11 and 8? 11+2, but again no 2.
Hmm, maybe I'm overcomplicating. Let me try all possible combinations step by step.
Numbers are 11,8,3,49. Target is 10.
Let me list possible pairs and operations:
First, pick two numbers and combine them, then proceed with the remaining two.
Option 1: Combine 11 and 8 first.
Possible operations:
11 +8 =19 → remaining numbers 3 and49. Need to make 10 from 19,3,49.
Hmm, 19 - (49 -3) =19-46= -27. Not helpful.
Or 19 +3 =22 → 22 -49= -27.
Alternatively, 19 *3=57 → 57 -49=8. Not 10.
Alternatively, 19 -3=16 → 16 and49. 49-16=33.
Hmm, not helpful.
Alternatively, 19/(something). 19/ (49-3)=19/46≈0.41. Not useful.
Alternatively, 49 divided by (19 - something). Not sure.
Alternatively, maybe 49 - (19 +3)=27.
Not helpful.
Option 2: 11 -8=3 → remaining numbers 3 and49. Now, we have two 3's? Wait no, original numbers are 11,8,3,49. If I subtract 11-8=3, then the remaining numbers are 3 and49, but the original 3 is still there? Wait no, each number can be used once. So if I use 11 and8, then the remaining are 3 and49. So after 11-8=3, then combining with remaining 3 and49.
Wait, but the result of 11-8 is a new number, but we have to use each original number exactly once. So actually, when combining two numbers, the result replaces them, but the other numbers are still there. Wait, perhaps I need to think of it as building an expression using all four numbers with operations.
Alternatively, maybe I should think of all four numbers in the equation. Let me try different combinations.
Another approach: Let's see if 49 can be divided by something to get a smaller number. Like 49 divided by 7 is 7. How to get 7 from 11,8,3.
Wait, 8 - (3 - (something))? Not sure. Alternatively, 11 - (something).
Wait, 8 - (3) =5, then 11-5=6. 49 divided by 6 is about 8.16. Not helpful.
Alternatively, 3*(8 - (49/11))? Wait, that was tried before.
Hmm, maybe (49 - 3*11) =49-33=16. Then 16 -8=8. Not 10.
Wait, 49 - (11 +8)=30. Then 30 -3=27.
Hmm.
Alternatively, (8 *3) - (49 /11). As before, that gives approx 24 -4.45=19.55.
Hmm.
Wait, maybe (11 - (49/(8+3))) → denominator is 11. 49/11≈4.45. 11-4.45≈6.55. Not helpful.
Alternatively, ( (8 *3) -11 ) → 24-11=13. Then 49 -13* something? Wait, but I can't reuse numbers.
Wait, perhaps (49 - (8*3)) =49-24=25. Then 25 -11=14. Close to 10 but not quite.
Hmm, 14 minus 4 would be 10, but where to get 4?
Alternatively, 25 divided by something. 25/(something)=10 → need 2.5. But how?
Alternatively, 25 - (something)=10 → need 15. How to get 15 from remaining numbers? Wait, after using 8,3,49, the remaining is 11. So 25-11=14. Not helpful.
Hmm.
Wait, maybe (11 + 3) =14. Then 49 - (8* something). 8* something to get 39? 8*4.875=39, but that's not possible.
Alternatively, 49 - (8*5 + ...) but not sure.
Hmm, maybe trying another combination. Let's try 49 and 3 first.
49 -3=46. Then remaining numbers 11 and8. 46 - (11+8)=27.
Alternatively, 46/(11)≈4.18, plus 8? 12.18. Not helpful.
Alternatively, 46 -11=35, then 35-8=27.
Hmm.
Alternatively, 49 divided by 3 is about 16.33. Then 16.33 - (11+8)= -2.67.
Not helpful.
Hmm.
Wait, maybe (8 +3)=11. Then 49 - (11 +11)=27.
Wait, but that uses 11 twice. Not allowed.
Alternatively, (49 -11)=38. Then 38 divided by (8-3)=7.6. Not helpful.
Hmm.
Wait, maybe (3*(8 - (49/11))) as before gives approx 10.63. Close but not exact.
Alternatively, maybe ( (49 - 11) / (8 -3) ) → 38/5=7.6.
Hmm.
Wait, perhaps using multiplication and division in another way. Let's see:
Let me try ( (11 - 8) * 3 ) + (49 / something). Wait, 11-8=3, times 3 is 9. Then 49 divided by something to get 1. But 49 divided by 49 is 1, but I can't reuse numbers.
Alternatively, ( (11 - (8/ something)) *3 ). Let's see, 8 divided by 3 is 2.666. 11-2.666≈8.333. Multiply by3≈25.
Hmm.
Alternatively, (49/(11)) + (8-3) → ~4.45 +5=9.45. Close to 10 but not exact.
Hmm.
Wait, maybe ( (8 * (11 -3)) ) /49 → 8*8=64 divided by49≈1.3. Not helpful.
Hmm.
Wait, perhaps ( (3 * (11 - 8)) ) + (49 / something). 3*(3)=9. Then 49 divided by something to get 1. Again, same problem.
Hmm.
Wait, maybe ( (49 - 3) / (11) ) +8 → 46/11≈4.18 +8≈12.18.
Hmm.
Alternatively, ( (49 - (11*3)) ) +8 → 49-33=16 +8=24.
Hmm.
Wait, maybe ( (8 *3) - (49 -11) ) →24 -38= -14.
Hmm.
Hmm, maybe I'm missing something obvious. Let me try all possible permutations.
Wait, let's see: 49 minus (something) equals 10. So the something must be 39. How to get 39 from 11,8,3.
Wait, 11 multiplied by 3 is 33. Then adding 6 gives 39. But how to get 6 from 8? 8-2=6, but no 2. Alternatively, 8 - (something).
Alternatively, 8 +3=11. 33+11=44. Not 39.
Hmm.
Wait, 8*4 +7=39. But how to get 4 and7 from 11 and3.
Wait, 11-3=8. Then 8*4=32 plus7=39. But where to get 4 and7?
Alternatively, 3*(something) + something else.
Hmm.
Alternatively, maybe (11 +8 +3) - (49 - something). Wait, but that's getting too convoluted.
Wait, perhaps using division in a different way. Let me think of fractions.
Suppose I do 49 divided by (something) to get a smaller number. Let's see, 49 divided by 7 is 7. To get 7 from 11,8,3.
Wait, 8 - (3 - (something))? Not sure.
Alternatively, 11 - (something).
Wait, 8 - (3) =5, then 11-5=6. 49 divided by6≈8.16.
Hmm.
Alternatively, (8 +3)=11. Then 49 divided by11≈4.45. Then 11 (the original 11?) minus that gives 6.55.
Wait, but numbers can only be used once. So if I use 8 and3 to make 11, then I can't use the original 11 again.
Hmm.
Wait, maybe ( (11 - 3) * (8 - something) ). Let's see, 11-3=8. Then 8*(something). To get 10, maybe 8*(something)=10 → something=1.25. But how?
Alternatively, ( (11 - (8/ something)) *3 ). Let me see.
Hmm, this is frustrating. Maybe I need to try all possible combinations systematically.
Let me list all possible pairs and operations:
First, pick two numbers and combine them with each operation, then proceed with the remaining three numbers. But this might take time.
Alternatively, think of the formula structure. Since the target is small (10), maybe using subtraction or division.
Wait, let me try (49 - (11 * (8 - 3))). Let's compute inside first: 8-3=5. 11*5=55. 49-55= -6. Not helpful.
Hmm.
Wait, ( (8 *3) - (49 /11) ) → 24 -4.45≈19.55.
Hmm.
Wait, maybe ( (49 / (11)) + (8 -3) ) → ~4.45 +5≈9.45. Close to 10 but not exact.
Hmm.
Wait, perhaps ( (11 - (49 / (8 +3))) ). Let's compute denominator:8+3=11. 49/11≈4.45. 11-4.45≈6.55.
Hmm.
Wait, maybe ( (3 * (8 - (49 /11))) ). As before, that gives ~10.63.
Hmm.
Wait, maybe ( ( (49 - 11) / (8) ) +3 ). Let's see: 38/8=4.75 +3=7.75.
Hmm.
Alternatively, ( (49 - (8 *3)) / (11) ). 49-24=25. 25/11≈2.27.
Hmm.
Wait, maybe ( (11 + 3) - (49 /8) ). 14 -6.125≈7.875.
Hmm.
Hmm, maybe I need to consider that perhaps the solution uses division in a way that cancels out.
Wait, let me think of fractions. Suppose I have 49 divided by something equals a fraction that when combined with others gives 10.
Alternatively, maybe ( (8 * (11 -3)) ) / something. 8*(8)=64. 64 divided by something to get 10. 64/6.4=10. But how to get 6.4 from remaining number 49? Not possible.
Hmm.
Wait, perhaps ( (3 * (11 - (49 /8))) ). Let's compute 49/8≈6.125. 11-6.125≈4.875. 3*4.875≈14.625.
Hmm.
Alternatively, ( ( (11 *3) -49 ) +8 ). 33-49= -16 +8= -8.
Hmm.
Wait, maybe ( (49 - (11 +8)) /3 ). 30/3=10. Oh! Wait, that's it!
Wait, let me check: 49 minus (11+8) is 49-19=30. Then 30 divided by3 is 10.
Yes! That uses all numbers: 49, 11,8,3. Each exactly once.
So the formula is (49 - (11 + 8)) /3 = (49-19)/3=30/3=10.
Yes! That works. I think that's the solution.
{
"formula": '(49 - (11 + 8)) / 3'
}
| 5,546 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 11, 8, 3, 49,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
) is 117/11 ≈10.63, which is over. Not exact.
Hmm, maybe another way. Let's think of 10 as (something) minus (something else). Like 11 -1 =10. How to get 1 from 8,3,49? 8/(3+ something). Wait, 8/(49 - something). Not sure.
Alternatively, 49 - (something) =10 → something is 39. How to get 39 from 11,8,3. Let's see, 11*3 +6? But 8-2=6, but no 2. Alternatively, 8*5 -1? Not helpful.
Wait, 8*4 +7=39? But where to get 4 and 7? Hmm.
Alternatively, 11 + 8 + (something) = 10? No, that's too big.
Wait, maybe using subtraction and division. Let's see, (49 - 11) =38. Then 38 divided by (8 -3) is 38/5 =7.6. Not helpful.
Hmm, maybe (8 - (49/(11 +3)))? Let's compute denominator first: 11+3=14. 49/14=3.5. Then 8-3.5=4.5. Not 10.
Alternatively, (11 - (49/(8+3))) → 8+3=11. 49/11≈4.45. 11-4.45≈6.55. Not helpful.
Wait, maybe (3 * 8) - (49 / 11). Let's see, 24 - 4.45≈19.55. Not 10.
Hmm, perhaps I'm missing something. Let me try another angle. Let's see, maybe combining 49 and 3 first. 49 -3=46. Then 46 - (11 +8)=27. No.
Alternatively, 49 divided by something. Let's see, 49 divided by 7 is 7. How to get 7? 8 - (3 - (something))? Not sure. Wait, 11 - (8 +3)=0. Not helpful.
Wait, maybe (8 * 3) - (49 -11). Let's see, 24 - (38)= -14. No.
Hmm, maybe (49 - 3*11) =49-33=16. Then 16 -8=8. Not 10.
Alternatively, (49 - (11* (8 -3))). Let's see, 8-3=5, 11*5=55. 49-55= -6. Not helpful.
Wait, maybe (11 + 8 +3) - (49 - something). Wait, 11+8+3=22. 22 - (49 - x) =10 → 22 -49 +x =10 → x= 37. But I don't have 37.
Hmm, maybe I need to use division in a better way. Let's see, 49 divided by (something) plus others. Like 49/(something) + something else.
Wait, 49 divided by 7 is 7. If I can get 7 from 11,8,3. Let's see, 8 - (3 - (something))? Not sure. Alternatively, 11 - (8 +3)=0. No.
Alternatively, (8 +3) =11. Then 49 divided by 11 is about 4.45. Then 11 (the original 11?) minus that? Wait, but numbers can be used once.
Wait, maybe ( (49 - 11) / (8 -3) ) → 38 divided by 5 is 7.6. Not helpful.
Hmm, maybe (3 * (8 - (49/11))) → but that gives 3*(8 -4.454)=3*(3.545)=10.63, which is close but not exact.
Wait, but maybe fractions can be used. Let me check exact fractions.
Let me try that again. 49 divided by 11 is 49/11. Then 8 minus that is (88/11 -49/11)=39/11. Multiply by 3 gives (117)/11. That's exactly 10.636..., which isn't 10. So that's not it.
Hmm, maybe another approach. Let's see, 10 can be written as (something) * (something else). Like 5*2, but how?
Alternatively, 20/2. Maybe 49 - (something) =20, then divided by something. Not sure.
Wait, 49 minus 39 is 10. How to get 39 from 11,8,3. Let's see, 11*3 +6. But 8-2=6, but no 2. Alternatively, 8*4 +7. Hmm, 4 and 7? Not sure.
Wait, 8* (something) plus something. 8*4 is 32 plus 7 is 39. But how to get 4 and 7 from 11 and 3. 11-3=8, but that's not helpful.
Alternatively, 3*(13) =39. But how to get 13 from 11 and 8? 11+2, but again no 2.
Hmm, maybe I'm overcomplicating. Let me try all possible combinations step by step.
Numbers are 11,8,3,49. Target is 10.
Let me list possible pairs and operations:
First, pick two numbers and combine them, then proceed with the remaining two.
Option 1: Combine 11 and 8 first.
Possible operations:
11 +8 =19 → remaining numbers 3 and49. Need to make 10 from 19,3,49.
Hmm, 19 - (49 -3) =19-46= -27. Not helpful.
Or 19 +3 =22 → 22 -49= -27.
Alternatively, 19 *3=57 → 57 -49=8. Not 10.
Alternatively, 19 -3=16 → 16 and49. 49-16=33.
Hmm, not helpful.
Alternatively, 19/(something). 19/ (49-3)=19/46≈0.41. Not useful.
Alternatively, 49 divided by (19 - something). Not sure.
Alternatively, maybe 49 - (19 +3)=27.
Not helpful.
Option 2: 11 -8=3 → remaining numbers 3 and49. Now, we have two 3's? Wait no, original numbers are 11,8,3,49. If I subtract 11-8=3, then the remaining numbers are 3 and49, but the original 3 is still there? Wait no, each number can be used once. So if I use 11 and8, then the remaining are 3 and49. So after 11-8=3, then combining with remaining 3 and49.
Wait, but the result of 11-8 is a new number, but we have to use each original number exactly once. So actually, when combining two numbers, the result replaces them, but the other numbers are still there. Wait, perhaps I need to think of it as building an expression using all four numbers with operations.
Alternatively, maybe I should think of all four numbers in the equation. Let me try different combinations.
Another approach: Let's see if 49 can be divided by something to get a smaller number. Like 49 divided by 7 is 7. How to get 7 from 11,8,3.
Wait, 8 - (3 - (something))? Not sure. Alternatively, 11 - (something).
Wait, 8 - (3) =5, then 11-5=6. 49 divided by 6 is about 8.16. Not helpful.
Alternatively, 3*(8 - (49/11))? Wait, that was tried before.
Hmm, maybe (49 - 3*11) =49-33=16. Then 16 -8=8. Not 10.
Wait, 49 - (11 +8)=30. Then 30 -3=27.
Hmm.
Alternatively, (8 *3) - (49 /11). As before, that gives approx 24 -4.45=19.55.
Hmm.
Wait, maybe (11 - (49/(8+3))) → denominator is 11. 49/11≈4.45. 11-4.45≈6.55. Not helpful.
Alternatively, ( (8 *3) -11 ) → 24-11=13. Then 49 -13* something? Wait, but I can't reuse numbers.
Wait, perhaps (49 - (8*3)) =49-24=25. Then 25 -11=14. Close to 10 but not quite.
Hmm, 14 minus 4 would be 10, but where to get 4?
Alternatively, 25 divided by something. 25/(something)=10 → need 2.5. But how?
Alternatively, 25 - (something)=10 → need 15. How to get 15 from remaining numbers? Wait, after using 8,3,49, the remaining is 11. So 25-11=14. Not helpful.
Hmm.
Wait, maybe (11 + 3) =14. Then 49 - (8* something). 8* something to get 39? 8*4.875=39, but that's not possible.
Alternatively, 49 - (8*5 + ...) but not sure.
Hmm, maybe trying another combination. Let's try 49 and 3 first.
49 -3=46. Then remaining numbers 11 and8. 46 - (11+8)=27.
Alternatively, 46/(11)≈4.18, plus 8? 12.18. Not helpful.
Alternatively, 46 -11=35, then 35-8=27.
Hmm.
Alternatively, 49 divided by 3 is about 16.33. Then 16.33 - (11+8)= -2.67.
Not helpful.
Hmm.
Wait, maybe (8 +3)=11. Then 49 - (11 +11)=27.
Wait, but that uses 11 twice. Not allowed.
Alternatively, (49 -11)=38. Then 38 divided by (8-3)=7.6. Not helpful.
Hmm.
Wait, maybe (3*(8 - (49/11))) as before gives approx 10.63. Close but not exact.
Alternatively, maybe ( (49 - 11) / (8 -3) ) → 38/5=7.6.
Hmm.
Wait, perhaps using multiplication and division in another way. Let's see:
Let me try ( (11 - 8) * 3 ) + (49 / something). Wait, 11-8=3, times 3 is 9. Then 49 divided by something to get 1. But 49 divided by 49 is 1, but I can't reuse numbers.
Alternatively, ( (11 - (8/ something)) *3 ). Let's see, 8 divided by 3 is 2.666. 11-2.666≈8.333. Multiply by3≈25.
Hmm.
Alternatively, (49/(11)) + (8-3) → ~4.45 +5=9.45. Close to 10 but not exact.
Hmm.
Wait, maybe ( (8 * (11 -3)) ) /49 → 8*8=64 divided by49≈1.3. Not helpful.
Hmm.
Wait, perhaps ( (3 * (11 - 8)) ) + (49 / something). 3*(3)=9. Then 49 divided by something to get 1. Again, same problem.
Hmm.
Wait, maybe ( (49 - 3) / (11) ) +8 → 46/11≈4.18 +8≈12.18.
Hmm.
Alternatively, ( (49 - (11*3)) ) +8 → 49-33=16 +8=24.
Hmm.
Wait, maybe ( (8 *3) - (49 -11) ) →24 -38= -14.
Hmm.
Hmm, maybe I'm missing something obvious. Let me try all possible permutations.
Wait, let's see: 49 minus (something) equals 10. So the something must be 39. How to get 39 from 11,8,3.
Wait, 11 multiplied by 3 is 33. Then adding 6 gives 39. But how to get 6 from 8? 8-2=6, but no 2. Alternatively, 8 - (something).
Alternatively, 8 +3=11. 33+11=44. Not 39.
Hmm.
Wait, 8*4 +7=39. But how to get 4 and7 from 11 and3.
Wait, 11-3=8. Then 8*4=32 plus7=39. But where to get 4 and7?
Alternatively, 3*(something) + something else.
Hmm.
Alternatively, maybe (11 +8 +3) - (49 - something). Wait, but that's getting too convoluted.
Wait, perhaps using division in a different way. Let me think of fractions.
Suppose I do 49 divided by (something) to get a smaller number. Let's see, 49 divided by 7 is 7. To get 7 from 11,8,3.
Wait, 8 - (3 - (something))? Not sure.
Alternatively, 11 - (something).
Wait, 8 - (3) =5, then 11-5=6. 49 divided by6≈8.16.
Hmm.
Alternatively, (8 +3)=11. Then 49 divided by11≈4.45. Then 11 (the original 11?) minus that gives 6.55.
Wait, but numbers can only be used once. So if I use 8 and3 to make 11, then I can't use the original 11 again.
Hmm.
Wait, maybe ( (11 - 3) * (8 - something) ). Let's see, 11-3=8. Then 8*(something). To get 10, maybe 8*(something)=10 → something=1.25. But how?
Alternatively, ( (11 - (8/ something)) *3 ). Let me see.
Hmm, this is frustrating. Maybe I need to try all possible combinations systematically.
Let me list all possible pairs and operations:
First, pick two numbers and combine them with each operation, then proceed with the remaining three numbers. But this might take time.
Alternatively, think of the formula structure. Since the target is small (10), maybe using subtraction or division.
Wait, let me try (49 - (11 * (8 - 3))). Let's compute inside first: 8-3=5. 11*5=55. 49-55= -6. Not helpful.
Hmm.
Wait, ( (8 *3) - (49 /11) ) → 24 -4.45≈19.55.
Hmm.
Wait, maybe ( (49 / (11)) + (8 -3) ) → ~4.45 +5≈9.45. Close to 10 but not exact.
Hmm.
Wait, perhaps ( (11 - (49 / (8 +3))) ). Let's compute denominator:8+3=11. 49/11≈4.45. 11-4.45≈6.55.
Hmm.
Wait, maybe ( (3 * (8 - (49 /11))) ). As before, that gives ~10.63.
Hmm.
Wait, maybe ( ( (49 - 11) / (8) ) +3 ). Let's see: 38/8=4.75 +3=7.75.
Hmm.
Alternatively, ( (49 - (8 *3)) / (11) ). 49-24=25. 25/11≈2.27.
Hmm.
Wait, maybe ( (11 + 3) - (49 /8) ). 14 -6.125≈7.875.
Hmm.
Hmm, maybe I need to consider that perhaps the solution uses division in a way that cancels out.
Wait, let me think of fractions. Suppose I have 49 divided by something equals a fraction that when combined with others gives 10.
Alternatively, maybe ( (8 * (11 -3)) ) / something. 8*(8)=64. 64 divided by something to get 10. 64/6.4=10. But how to get 6.4 from remaining number 49? Not possible.
Hmm.
Wait, perhaps ( (3 * (11 - (49 /8))) ). Let's compute 49/8≈6.125. 11-6.125≈4.875. 3*4.875≈14.625.
Hmm.
Alternatively, ( ( (11 *3) -49 ) +8 ). 33-49= -16 +8= -8.
Hmm.
Wait, maybe ( (49 - (11 +8)) /3 ). 30/3=10. Oh! Wait, that's it!
Wait, let me check: 49 minus (11+8) is 49-19=30. Then 30 divided by3 is 10.
Yes! That uses all numbers: 49, 11,8,3. Each exactly once.
So the formula is (49 - (11 + 8)) /3 = (49-19)/3=30/3=10.
Yes! That works. I think that's the solution.
{
"formula": '(49 - (11 + 8)) / 3'
}<|im_end|>
|
[
93,
18,
60,
41
] | 26 |
444
|
{
"formula": '60 - (93 - (18 + 41))'
}
| 2,563 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 93, 18, 60, 41,
target: 26
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 26',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '60 - (93 - (18 + 41))'
}<|im_end|>
|
[
29,
53,
53,
50
] | 79 |
402
|
{
"formula": '50 + 29 + (53 - 53)'
}
| 3,323 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 53, 53, 50,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '50 + 29 + (53 - 53)'
}<|im_end|>
|
[
9,
48,
27,
12
] | 99 |
478
|
{
"formula": '27*(48/12) - 9'
}
| 1,030 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 48, 27, 12,
target: 99
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 99',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '27*(48/12) - 9'
}<|im_end|>
|
[
71,
10,
26,
7
] | 15 |
460
|
{
"formula": '(71 - 26)/(10 - 7)'
}
| 1,294 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 71, 10, 26, 7,
target: 15
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 15',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(71 - 26)/(10 - 7)'
}<|im_end|>
|
[
44,
5,
90,
36
] | 46 |
409
|
{
"formula": '44 + (36 / (90 / 5))'
}
| 3,458 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 5, 90, 36,
target: 46
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 46',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '44 + (36 / (90 / 5))'
}<|im_end|>
|
[
68,
11,
72,
16
] | 75 |
410
|
{
"formula": '16*(72 - 68) + 11'
}
| 3,639 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 68, 11, 72, 16,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '16*(72 - 68) + 11'
}<|im_end|>
|
[
68,
79,
13,
40
] | 80 |
450
|
{
"formula": '((68 + 13) - 79) * 40'
}
| 2,747 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 68, 79, 13, 40,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((68 + 13) - 79) * 40'
}<|im_end|>
|
[
10,
68,
97,
32
] | 13 |
487
|
{
"formula": '(10 + 32) - (97 - 68)',
}
| 2,575 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 10, 68, 97, 32,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(10 + 32) - (97 - 68)',
}<|im_end|>
|
[
90,
3,
89,
2
] | 82 |
462
|
{
"formula": '((89 - 3) * 2) - 90'
}
| 2,004 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 90, 3, 89, 2,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((89 - 3) * 2) - 90'
}<|im_end|>
|
[
87,
21,
23,
20
] | 97 |
211
|
{
"formula": '87 + (20 / (23 - 21))',
}
| 11,953 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 87, 21, 23, 20,
target: 97
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 97',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '87 + (20 / (23 - 21))',
}<|im_end|>
|
[
35,
11,
5,
5
] | 11 |
329
|
{
"formula": '((5 - 5) * 35) + 11'
}
| 7,649 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 35, 11, 5, 5,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((5 - 5) * 35) + 11'
}<|im_end|>
|
[
29,
78,
3,
99
] | 82 |
468
|
{
"formula": '(99 / 3) + 78 - 29'
}
| 1,482 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 78, 3, 99,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(99 / 3) + 78 - 29'
}<|im_end|>
|
[
73,
77,
42,
81
] | 27 |
443
|
{
"formula": '(73 - 42) - (81 - 77)'
}
| 3,602 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 73, 77, 42, 81,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(73 - 42) - (81 - 77)'
}<|im_end|>
|
[
67,
43,
36,
51
] | 23 |
474
|
{
"formula": '67 - (36 + (51 - 43))',
}
| 1,009 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 43, 36, 51,
target: 23
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 23',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '67 - (36 + (51 - 43))',
}<|im_end|>
|
[
1,
52,
23,
9
] | 85 |
479
|
{
"formula": '52 + 23 + 9 + 1 = 85'
}
| 920 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 52, 23, 9,
target: 85
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 85',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '52 + 23 + 9 + 1 = 85'
}<|im_end|>
|
[
40,
53,
14,
68
] | 67 |
469
|
{
"formula": '53 + 68 - 40 - 14'
}
| 2,240 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 40, 53, 14, 68,
target: 67
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 67',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '53 + 68 - 40 - 14'
}<|im_end|>
|
[
89,
15,
87,
48
] | 39 |
485
|
{
"formula": '(48/(89-87)) + 15'
}
| 1,381 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 89, 15, 87, 48,
target: 39
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 39',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(48/(89-87)) + 15'
}<|im_end|>
|
[
67,
48,
32,
61
] | 40 |
461
|
{
"formula": '(48/(67-61)) + 32'
}
| 1,908 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 48, 32, 61,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(48/(67-61)) + 32'
}<|im_end|>
|
[
67,
66,
6,
88
] | 65 |
233
|
{
"formula": '(6 * (88 - 66)) - 67'
}
| 5,283 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 66, 6, 88,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(6 * (88 - 66)) - 67'
}<|im_end|>
|
[
60,
45,
91,
34
] | 72 |
503
|
{
"formula": "(91 - 45) + (60 - 34)"
}
| 582 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 45, 91, 34,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(91 - 45) + (60 - 34)"
}<|im_end|>
|
[
64,
8,
43,
59
] | 62 |
498
|
{
"formula": "64 - ((59 - 43) / 8)"
}
| 1,007 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 64, 8, 43, 59,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "64 - ((59 - 43) / 8)"
}<|im_end|>
|
[
53,
58,
16,
31
] | 96 |
505
|
{
"formula": "(58 - 31) + 53 + 16"
}
| 1,033 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 53, 58, 16, 31,
target: 96
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 96',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(58 - 31) + 53 + 16"
}<|im_end|>
|
[
68,
1,
82,
35
] | 80 |
494
|
{
"formula": '82 - (68 / (35 - 1))'
}
| 814 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 68, 1, 82, 35,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '82 - (68 / (35 - 1))'
}<|im_end|>
|
[
9,
68,
61,
29
] | 27 |
480
|
{
"formula": '(68 + 29) - (61 + 9)'
}
| 2,385 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 68, 61, 29,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(68 + 29) - (61 + 9)'
}<|im_end|>
|
[
77,
73,
92,
38
] | 75 |
419
|
{
"formula": '77 - (38 / (92 - 73))'
}
| 6,536 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 77, 73, 92, 38,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 - (38 / (92 - 73))'
}<|im_end|>
|
[
87,
38,
36,
86
] | 74 |
492
|
{
"formula": '(87 - 86) * (38 + 36)'
}
| 1,001 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 87, 38, 36, 86,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(87 - 86) * (38 + 36)'
}<|im_end|>
|
[
12,
74,
40,
1
] | 45 |
501
|
{
"formula": '74 - 40 + 12 - 1',
}
| 2,297 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 12, 74, 40, 1,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '74 - 40 + 12 - 1',
}<|im_end|>
|
[
4,
72,
97,
69
] | 31 |
513
|
{
"formula": '4*(97 - 72) - 69 = 31'
}
| 1,398 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 72, 97, 69,
target: 31
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 31',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '4*(97 - 72) - 69 = 31'
}<|im_end|>
|
[
35,
7,
70,
26
] | 71 |
457
|
{
"formula": '(70 / 7) + 35 + 26'
}
| 4,347 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 35, 7, 70, 26,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(70 / 7) + 35 + 26'
}<|im_end|>
|
[
32,
58,
88,
47
] | 90 |
217
|
{
"formula": '(88 * 32) - (58 * 47) = 90'
}
| 5,356 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 58, 88, 47,
target: 90
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 90',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(88 * 32) - (58 * 47) = 90'
}<|im_end|>
|
[
84,
91,
30,
25
] | 35 |
511
|
{
"formula": "(91 - 84) * (30 - 25)"
}
| 1,089 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 84, 91, 30, 25,
target: 35
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 35',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(91 - 84) * (30 - 25)"
}<|im_end|>
|
[
17,
47,
50,
73
] | 53 |
464
|
{
"formula": '73 - 50 + 47 - 17',
}
| 2,689 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 17, 47, 50, 73,
target: 53
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 53',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 - 50 + 47 - 17',
}<|im_end|>
|
[
19,
9,
38,
10
] | 100 |
510
|
{
"formula": '10*(38 - 19 - 9)'
}
| 980 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 19, 9, 38, 10,
target: 100
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 100',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '10*(38 - 19 - 9)'
}<|im_end|>
|
[
29,
80,
15,
13
] | 11 |
514
|
{
"formula": '(80 / (15 - 13)) - 29'
}
| 892 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 80, 15, 13,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(80 / (15 - 13)) - 29'
}<|im_end|>
|
[
36,
6,
31,
48
] | 85 |
515
|
{
"formula": '(36 / 6) + 31 + 48'
}
| 938 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 6, 31, 48,
target: 85
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 85',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(36 / 6) + 31 + 48'
}<|im_end|>
|
[
2,
67,
46,
62
] | 26 |
458
|
{
"formula": '(67 * 2) - (62 + 46)'
}
| 4,763 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 67, 46, 62,
target: 26
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 26',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(67 * 2) - (62 + 46)'
}<|im_end|>
|
[
36,
6,
26,
34
] | 58 |
486
|
{
"formula": '26*(36-34)+6'
}
| 4,798 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 6, 26, 34,
target: 58
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 58',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '26*(36-34)+6'
}<|im_end|>
|
[
36,
61,
98,
100
] | 23 |
512
|
{
"formula": '(61 - 36) - (100 - 98)'
}
| 759 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 61, 98, 100,
target: 23
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 23',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(61 - 36) - (100 - 98)'
}<|im_end|>
|
[
51,
54,
68,
48
] | 17 |
455
|
{
"formula": '68 - 54 - 48 + 51 = 17'
}
| 5,180 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 54, 68, 48,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '68 - 54 - 48 + 51 = 17'
}<|im_end|>
|
[
94,
53,
61,
57
] | 37 |
519
|
{
"formula": '(94 - 53) - (61 - 57)'
}
| 773 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 94, 53, 61, 57,
target: 37
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 37',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(94 - 53) - (61 - 57)'
}<|im_end|>
|
[
21,
51,
61,
50
] | 82 |
440
|
{
"formula": "(21 + 61) * (51 - 50)"
}
| 6,582 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 21, 51, 61, 50,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(21 + 61) * (51 - 50)"
}<|im_end|>
|
[
64,
83,
9,
8
] | 82 |
471
|
{
"formula": "(83 - 9) + (64 / 8)"
}
| 4,796 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 64, 83, 9, 8,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(83 - 9) + (64 / 8)"
}<|im_end|>
|
[
17,
27,
26,
78
] | 75 |
399
|
{
"formula": '78 - (27 / (26 - 17))'
}
| 6,236 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 17, 27, 26, 78,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '78 - (27 / (26 - 17))'
}<|im_end|>
|
[
3,
3,
69,
15
] | 73 |
529
|
{
"formula": "69 + (15 - 3) / 3"
}
| 618 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 3, 3, 69, 15,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "69 + (15 - 3) / 3"
}<|im_end|>
|
[
5,
45,
51,
44
] | 14 |
437
|
45) is 44/6 ≈7.333. Not helpful.
Hmm, maybe trying another combination. Let's see, 51 - (45 -5) =51-40=11. Then plus 44? No, that's way over.
Alternatively, 45 - (51 -44) =45 -7=38. Then plus 5? 43. Still no.
Wait, maybe using multiplication and division together. Let's see, 45 divided by 5 is 9. Then 51 minus (44 divided by something). Wait, 44 divided by something? Like 44 divided by (51 - something). Not sure.
Alternatively, 5*(something) minus another number. Let's see, 5*(something) needs to be 14 plus another number. Let's see, 14 +44=58. So 5*x =58 + another number? Not sure.
Alternatively, maybe (51 -45) is 6. Then 44 divided by 6 is not integer. Hmm.
Wait, maybe (44 - (51 -45)) *5? Let's compute that. 51-45=6, 44-6=38, 38*5=190. No.
Hmm, perhaps trying to get 14 through subtraction. Let's see, 51 - (something) =14. So that something would be 37. How to get 37 from 45,44,5. 45 +44 is 89, minus 5 is 84. Not helpful.
Alternatively, 44 - (something)=14. So that something is 30. How to get 30 from 5,45,51. 45-15=30, but how to get 15? 5*3, but where to get 3? 51-48? Not sure.
Alternatively, maybe (45 -44)=1, then 51 divided by that is 51, plus 5 is 56. Not helpful.
Hmm, maybe trying to use division in a different way. Let's see, 51 divided by (something) to get a fraction. Like 51/(45 -44) =51/1=51. Then 51 - (something). 51- (5 +44)=51-49=2. Not helpful.
Wait, maybe (51 -45) is 6. Then 44 divided by 6 is not integer. Alternatively, 44 divided by (5+ something).
Alternatively, 44 - (51 - (45/5)). Let's compute that. 45 divided by5 is 9. 51-9=42. Then 44-42=2. Not helpful.
Hmm, maybe (45 - (51 -44)) *5? Let's see: 51-44=7, 45-7=38, 38*5=190. No.
Wait, perhaps (51 - (45 -5)) divided by something? 45-5=40, 51-40=11. 11 divided by (44/ something). Not sure.
Alternatively, maybe (44 +5) =49. Then 51 -49=2. Then 45 divided by that? 45/2=22.5. Not helpful.
Hmm, maybe trying to get 14 via multiplication. Like 7*2, but how?
Wait, 5 +45 is 50. 50 minus (51 -44)=50-7=43. Not helpful.
Alternatively, 44 - (51 - (45/5)). Let's see, 45/5=9, 51-9=42, 44-42=2.
Hmm, maybe I'm missing something. Let's try another angle. Let's see, perhaps combining 45 and 44 first. 45+44=89. Then 51-89 is negative. Not helpful.
Alternatively, 45-44=1. Then 51 divided by 1 is 51. Then 51 -5=46. Not 14.
Wait, maybe (51 -45) is 6. Then 6* something? 6* (something) to get near 14. 6*2=12, 6*3=18. Hmm.
Alternatively, (51 - (45 - (44/5))). Let's compute that. 44 divided by5 is 8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact. Not an integer.
Hmm, maybe fractions are allowed? The problem says to use each number exactly once, but operations can include division. So maybe fractions are okay as long as the final result is integer? Wait, the target is 14, so maybe the formula must evaluate exactly to 14.
Alternatively, perhaps (44 - (51 - (45 /5))). Let's compute that step by step. 45 divided by5 is 9. Then 51 minus9 is 42. Then 44 minus42 is 2. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, (45 - (44/ (51 -5))). Let's compute denominator first: 51-5=46. 44 divided by46 is ~0.956. 45 minus that is ~44.044. Not helpful.
Alternatively, (51 - (44/(45 -5))). 45-5=40. 44/40=1.1. 51-1.1=49.9. Not helpful.
Hmm, maybe (44 +5)=49. Then 51-49=2. Then 45 divided by that? 45/2=22.5. Not helpful.
Wait, maybe (51 -44)=7. Then 45 divided by5 is9. 7+9=16. Close to 14. If I can subtract 2, but how?
Alternatively, (51 - (44 + (45/5))). Let's see: 45/5=9. 44+9=53. 51-53= -2. Not helpful.
Hmm, maybe (45 - (51 - (44/5))). Let's compute 44 divided by5 is 8.8. 51-8.8=42.2. 45-42.2=2.8. Not helpful.
Wait, maybe ( (45 -5) divided by something). 45-5=40. 40 divided by (51-44)=7. 40/7≈5.714. Not helpful.
Hmm, maybe trying to multiply two numbers and subtract. Let's see, 5*44=220. Then 220 - (51+45)=220-96=124. No.
Alternatively, 5*45=225. 225 - (51+44)=225-95=130.
Hmm, maybe 51 - (45 - (44/ something)). Let's see, 44 divided by5 is8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact.
Wait, maybe (44 - (51 - (45 -5))). Let's compute inner: 45-5=40. 51-40=11. 44-11=33. Not helpful.
Hmm, maybe I need to think differently. Let's see, perhaps (51 -45) is6. Then 44 divided by6 is about7.333. Then adding 5? 7.333+5≈12.333. Not helpful.
Alternatively, (44 -5)=39. 51-39=12. Then 45 divided by something? 45/12=3.75. Not helpful.
Wait, maybe (45 divided by (51 -44)) minus something. 51-44=7. 45/7≈6.428. Then subtract 5? 1.428. Not helpful.
Hmm, maybe ( (45 -44) * (51 -5) ). Let's see: 45-44=1, 51-5=46. 1*46=46. Not helpful.
Alternatively, (45 - (44 - (51/5))). Let's compute 51 divided by5 is10.2. 44-10.2=33.8. 45-33.8=11.2. Not helpful.
Hmm, maybe trying to get 14 via 5* something minus another. Let's see, 5*3=15. 15-1=14. So if I can get 3 and 1 from the other numbers.
How to get 3 and 1? 45-44=1. Then 51 divided by something to get 3? 51 divided by17 is3. But how to get 17 from remaining numbers? Wait, but if I use 45-44=1, then I have 51 and 5 left. 51 divided by (something) to get 3? 51/17=3, but where to get 17? Maybe 5+12? Not sure.
Alternatively, maybe 51 divided by (45 - (44 - something)). Not sure.
Alternatively, maybe (51 - (45 - (44 -5))). Let's compute step by step: 44-5=39. 45-39=6. 51-6=45. Not helpful.
Hmm, this is tricky. Maybe I need to try all possible combinations systematically. Let's list all possible pairs and see.
Possible pairs:
First, pick two numbers to combine, then combine the other two, then combine those results.
Let me try combinations:
Option 1: Combine 5 and 45 first.
5 +45=50. Then remaining numbers 51 and44. Need to combine them with 50 to get 14. So 50 +51+44 is way over. Alternatively, 50 - (51+44)= negative. Not helpful.
Alternatively, 50 -51= -1, then -1 +44=43. Not helpful.
Alternatively, 50 * (something). Probably too big.
Alternatively, 50 divided by something. 50/(51-44)=50/7≈7.14. Then plus or minus? Not sure.
Hmm, maybe subtraction first. 51-44=7. Then combine with 5 and45. Let's see, 5+45=50. 50-7=43. Not helpful.
Alternatively, 5*7=35. Then 45-35=10. Then plus 44? No.
Hmm, maybe 45-5=40. Then 51-44=7. 40+7=47. Not helpful.
Alternatively, 45 divided by5=9. Then 51-44=7. 9+7=16. Close to 14. If I can subtract 2, but how?
Wait, maybe (45/5) + (51-44) =9+7=16. Then subtract (something). But I've already used all numbers. Wait, no, in this case, I used 45,5,51,44. All four numbers. So that gives 16, but target is 14. So maybe that's close but not exact.
Hmm, perhaps if I can get 14 by adjusting that. Let's see, maybe instead of adding, subtract. Like (45/5) - (51-44) =9-7=2. Not helpful.
Alternatively, (51 - (45/5)) -44. Let's compute: 45/5=9. 51-9=42. 42-44= -2.
Hmm.
Alternatively, (51 -44) * (45/5) =7*9=63. Not helpful.
Hmm, maybe (44 - (51 - (45/5))) =44 - (51-9)=44-42=2.
Hmm.
Alternatively, (45 - (51 - (44/5))) Let's compute 44/5=8.8. 51-8.8=42.2. 45-42.2=2.8.
Hmm.
Wait, maybe (5*(something)) minus another number. Let's see, 5*(something)=14 + another number.
Suppose 5*x =14 + y, where x and y are results from other numbers.
Alternatively, maybe (51 - (45 - (44 -5))). Let's compute inner: 44-5=39. 45-39=6. 51-6=45.
Hmm.
Alternatively, (44 +5)=49. Then 51-49=2. Then 45 divided by that? 45/2=22.5.
Hmm.
Wait, maybe (45 - (44 +5)) =45-49= -4. Then 51 divided by that? Negative numbers allowed? 51/-4 is -12.75. Not helpful.
Hmm, maybe trying division in another way. Let's see, 45 divided by (something).
Wait, 45 divided by (51 -44)=45/7≈6.428. Then plus 5? 11.428. Not helpful.
Hmm, perhaps (51 divided by (45 - (44 -5))). Let's compute denominator: 44-5=39. 45-39=6. 51/6=8.5. Not helpful.
Hmm, maybe ( (45 -5) divided by (51 -44) ) → 40/7≈5.714. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try another approach. Let's see, the numbers are 5,45,51,44. Let me see if any combination can subtract to get 14.
For example, 51 - (something)=14 → something is 37. How to get 37 from 45,44,5. 45+44=89, minus 5 is 84. Not.
Alternatively, 45 - (something)=14 → something is 31. How to get 31 from 51,44,5. 51- (44-5)=51-39=12. Not.
Hmm.
Alternatively, 44 - (something)=14 → something is 30. How to get 30 from 5,45,51. 45-15=30. How to get 15? 5*3. But how to get 3 from 51? 51 divided by 17? Not helpful.
Alternatively, 51 - (something)=14 → something is 37. Again, same as before.
Hmm.
Wait, maybe using multiplication and subtraction. Let's see, 5*(something) minus another number.
Suppose 5* something =14 + another number. Let's see, if I can get 5*(something) to be 14 plus another number.
Alternatively, maybe (51 -44)=7. Then 45 divided by5=9. 7+9=16. If I can subtract 2, but how?
Wait, maybe ( (45 /5) + (51 -44) ) - (something). But I've already used all numbers.
Hmm.
Alternatively, maybe (51 - (45 - (44 -5))) → 44-5=39, 45-39=6, 51-6=45.
Hmm.
Wait, perhaps (44 - (51 - (45 -5))) → 45-5=40, 51-40=11, 44-11=33.
Hmm.
Alternatively, ( (45 -44) * (51 -5) ) → 1 *46=46.
Hmm.
Wait, maybe (5*(45 -44)) + (51 - something). Let's see, 45-44=1, 5*1=5. Then 51 - something needs to be 9 to get total 14. So 51 - something=9 → something=42. How to get 42 from remaining number? But I've already used 45 and44, so remaining is 51 and the other number is 5? Wait, no, the numbers are 5,45,51,44. So if I used 45 and44, then remaining are 5 and51. So 51 - (something) where something is 5? 51-5=46. Then 5+46=51. Not helpful.
Hmm.
Wait, maybe (51 - (45 - (44/5))) → 44 divided by5 is8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact.
Hmm, maybe fractions are allowed but the target is integer. So perhaps that's not the way.
Alternatively, maybe (44 +5)=49. Then 51-49=2. Then 45 divided by that is22.5. Not helpful.
Hmm.
Wait, perhaps (45 - (51 - (44/5))) → 44/5=8.8. 51-8.8=42.2. 45-42.2=2.8.
Hmm.
Alternatively, ( (45 -5) divided by (51 -44) ) → 40/7≈5.714.
Hmm.
Wait, maybe (51 divided by (44 - (45 -5))) → 45-5=40. 44-40=4. 51/4=12.75.
Hmm.
Hmm, maybe I need to try a different combination. Let's see, perhaps using 5 and 44 first.
5+44=49. Then 51-45=6. 49+6=55. Not helpful.
Alternatively, 5*44=220. Then 220 - (51+45)=220-96=124.
Hmm.
Alternatively, 44-5=39. Then 51-39=12. Then 45 divided by something? 45/12=3.75.
Hmm.
Alternatively, (44 -5)=39. Then 45-39=6. Then 51 divided by6≈8.5.
Hmm.
Hmm, maybe trying to use division in a way that gives an integer. Let's see, 45 divided by5 is9. Then 51-44=7. 9+7=16. If I can subtract 2, but how?
Wait, maybe ( (45/5) + (51-44) ) - (something). But I've already used all numbers.
Alternatively, maybe ( (45/5) + (51 -44) ) - (something else). But there's no numbers left.
Hmm.
Wait, perhaps (51 - (45 - (44 -5))) → 44-5=39, 45-39=6, 51-6=45.
Hmm.
Alternatively, ( (45 - (44 -5)) ) * (51/ something). Let's see, 44-5=39. 45-39=6. 51 divided by something. If divided by 6, 51/6=8.5. 6*8.5=51. Not helpful.
Hmm.
Wait, maybe ( (51 -45) * (44 -5) ). Let's compute: 51-45=6, 44-5=39. 6*39=234. Way too big.
Hmm.
Hmm, maybe I'm missing something. Let me try to think of all possible pairs and see if any combination can lead to 14.
Let me list all possible pairs and their results:
Possible pairs:
5 and45:
5+45=50
5*45=225
5-45=-40
45-5=40
5/45≈0.111
45/5=9
5 and51:
5+51=56
5*51=255
5-51=-46
51-5=46
5/51≈0.098
51/5=10.2
5 and44:
5+44=49
5*44=220
5-44=-39
44-5=39
5/44≈0.113
44/5=8.8
45 and51:
45+51=96
45*51=2295
45-51=-6
51-45=6
45/51≈0.882
51/45≈1.133
45 and44:
45+44=89
45*44=1980
45-44=1
44-45=-1
45/44≈1.022
44/45≈0.977
51 and44:
51+44=95
51*44=2244
51-44=7
44-51=-7
51/44≈1.159
44/51≈0.862
Now, let's see if any of these pairs can combine with the other two numbers to reach 14.
Let's try each pair:
First pair: 5 and45 → 9 (since 45/5=9). Then remaining numbers are51 and44. Need to combine 9,51,44 to get14.
Possible with 9,51,44:
Looking for 14. Let's see:
51-44=7. 9+7=16. Close.
Alternatively, 51- (44 -9)=51-35=16.
Hmm.
Alternatively, (51 -44) * (something). 7* something. 7*2=14. So if I can get 2 from 9. 9-7=2. Wait, but that would require using 9 and7 again.
Wait, let's see:
If I have 9 (from 45/5), and 51 and44. Let's see:
(51 -44) =7. Then 9 - (something)=14? No.
Alternatively, (51 - (44 +9))=51-53= -2.
Hmm.
Alternatively, (44 - (51 -9))=44-42=2.
Hmm.
Alternatively, (51 divided by (something)). 51 divided by (44 -9)=51/35≈1.457.
Hmm.
Alternatively, (9 + (51 -44))=16.
Hmm.
Hmm, maybe this path isn't working. Let's try another pair.
Second pair: 5 and51 → 51-5=46. Remaining numbers 45 and44.
46,45,44. Need to get to14.
Hmm, 45-44=1. 46-1=45. Not helpful.
Alternatively, 45- (46-44)=45-2=43.
Hmm.
Alternatively, (44 - (45 -46))=44-(-1)=45.
Hmm.
Alternatively, 46 divided by (something). 46/(45-44)=46/1=46. Then 46- something?
Hmm.
Hmm, not helpful.
Third pair:5 and44 → 44-5=39. Remaining numbers45 and51.
39,45,51.
Hmm, 51-45=6. 39-6=33.
Alternatively, 45-39=6. 51-6=45.
Hmm.
Hmm.
Fourth pair:45 and51 →51-45=6. Remaining numbers5 and44.
6,5,44.
Hmm, 44- (5+6)=33.
Alternatively, 5*6=30. 44-30=14. Oh! Wait, that's it!
Wait, let me check that again.
If I take 45 and51 first, subtract them to get6. Then the remaining numbers are5 and44.
Then, 5*6=30. Then 44-30=14.
Yes! That works.
So the steps would be:
First, 51 -45 =6.
Then, 5 *6 =30.
Then, 44 -30 =14.
So putting it all together with parentheses:
44 - (5 * (51 -45))
Let me compute that:
51-45=6. 5*6=30. 44-30=14.
Yes! That works.
So the formula is 44 -5*(51-45) =14.
Let me check if all numbers are used exactly once: 51,45,5,44. Yes, each is used once.
Perfect! So that's the solution.
{
"formula": '44 - 5*(51 - 45)'
}
| 7,030 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 5, 45, 51, 44,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
45) is 44/6 ≈7.333. Not helpful.
Hmm, maybe trying another combination. Let's see, 51 - (45 -5) =51-40=11. Then plus 44? No, that's way over.
Alternatively, 45 - (51 -44) =45 -7=38. Then plus 5? 43. Still no.
Wait, maybe using multiplication and division together. Let's see, 45 divided by 5 is 9. Then 51 minus (44 divided by something). Wait, 44 divided by something? Like 44 divided by (51 - something). Not sure.
Alternatively, 5*(something) minus another number. Let's see, 5*(something) needs to be 14 plus another number. Let's see, 14 +44=58. So 5*x =58 + another number? Not sure.
Alternatively, maybe (51 -45) is 6. Then 44 divided by 6 is not integer. Hmm.
Wait, maybe (44 - (51 -45)) *5? Let's compute that. 51-45=6, 44-6=38, 38*5=190. No.
Hmm, perhaps trying to get 14 through subtraction. Let's see, 51 - (something) =14. So that something would be 37. How to get 37 from 45,44,5. 45 +44 is 89, minus 5 is 84. Not helpful.
Alternatively, 44 - (something)=14. So that something is 30. How to get 30 from 5,45,51. 45-15=30, but how to get 15? 5*3, but where to get 3? 51-48? Not sure.
Alternatively, maybe (45 -44)=1, then 51 divided by that is 51, plus 5 is 56. Not helpful.
Hmm, maybe trying to use division in a different way. Let's see, 51 divided by (something) to get a fraction. Like 51/(45 -44) =51/1=51. Then 51 - (something). 51- (5 +44)=51-49=2. Not helpful.
Wait, maybe (51 -45) is 6. Then 44 divided by 6 is not integer. Alternatively, 44 divided by (5+ something).
Alternatively, 44 - (51 - (45/5)). Let's compute that. 45 divided by5 is 9. 51-9=42. Then 44-42=2. Not helpful.
Hmm, maybe (45 - (51 -44)) *5? Let's see: 51-44=7, 45-7=38, 38*5=190. No.
Wait, perhaps (51 - (45 -5)) divided by something? 45-5=40, 51-40=11. 11 divided by (44/ something). Not sure.
Alternatively, maybe (44 +5) =49. Then 51 -49=2. Then 45 divided by that? 45/2=22.5. Not helpful.
Hmm, maybe trying to get 14 via multiplication. Like 7*2, but how?
Wait, 5 +45 is 50. 50 minus (51 -44)=50-7=43. Not helpful.
Alternatively, 44 - (51 - (45/5)). Let's see, 45/5=9, 51-9=42, 44-42=2.
Hmm, maybe I'm missing something. Let's try another angle. Let's see, perhaps combining 45 and 44 first. 45+44=89. Then 51-89 is negative. Not helpful.
Alternatively, 45-44=1. Then 51 divided by 1 is 51. Then 51 -5=46. Not 14.
Wait, maybe (51 -45) is 6. Then 6* something? 6* (something) to get near 14. 6*2=12, 6*3=18. Hmm.
Alternatively, (51 - (45 - (44/5))). Let's compute that. 44 divided by5 is 8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact. Not an integer.
Hmm, maybe fractions are allowed? The problem says to use each number exactly once, but operations can include division. So maybe fractions are okay as long as the final result is integer? Wait, the target is 14, so maybe the formula must evaluate exactly to 14.
Alternatively, perhaps (44 - (51 - (45 /5))). Let's compute that step by step. 45 divided by5 is 9. Then 51 minus9 is 42. Then 44 minus42 is 2. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, (45 - (44/ (51 -5))). Let's compute denominator first: 51-5=46. 44 divided by46 is ~0.956. 45 minus that is ~44.044. Not helpful.
Alternatively, (51 - (44/(45 -5))). 45-5=40. 44/40=1.1. 51-1.1=49.9. Not helpful.
Hmm, maybe (44 +5)=49. Then 51-49=2. Then 45 divided by that? 45/2=22.5. Not helpful.
Wait, maybe (51 -44)=7. Then 45 divided by5 is9. 7+9=16. Close to 14. If I can subtract 2, but how?
Alternatively, (51 - (44 + (45/5))). Let's see: 45/5=9. 44+9=53. 51-53= -2. Not helpful.
Hmm, maybe (45 - (51 - (44/5))). Let's compute 44 divided by5 is 8.8. 51-8.8=42.2. 45-42.2=2.8. Not helpful.
Wait, maybe ( (45 -5) divided by something). 45-5=40. 40 divided by (51-44)=7. 40/7≈5.714. Not helpful.
Hmm, maybe trying to multiply two numbers and subtract. Let's see, 5*44=220. Then 220 - (51+45)=220-96=124. No.
Alternatively, 5*45=225. 225 - (51+44)=225-95=130.
Hmm, maybe 51 - (45 - (44/ something)). Let's see, 44 divided by5 is8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact.
Wait, maybe (44 - (51 - (45 -5))). Let's compute inner: 45-5=40. 51-40=11. 44-11=33. Not helpful.
Hmm, maybe I need to think differently. Let's see, perhaps (51 -45) is6. Then 44 divided by6 is about7.333. Then adding 5? 7.333+5≈12.333. Not helpful.
Alternatively, (44 -5)=39. 51-39=12. Then 45 divided by something? 45/12=3.75. Not helpful.
Wait, maybe (45 divided by (51 -44)) minus something. 51-44=7. 45/7≈6.428. Then subtract 5? 1.428. Not helpful.
Hmm, maybe ( (45 -44) * (51 -5) ). Let's see: 45-44=1, 51-5=46. 1*46=46. Not helpful.
Alternatively, (45 - (44 - (51/5))). Let's compute 51 divided by5 is10.2. 44-10.2=33.8. 45-33.8=11.2. Not helpful.
Hmm, maybe trying to get 14 via 5* something minus another. Let's see, 5*3=15. 15-1=14. So if I can get 3 and 1 from the other numbers.
How to get 3 and 1? 45-44=1. Then 51 divided by something to get 3? 51 divided by17 is3. But how to get 17 from remaining numbers? Wait, but if I use 45-44=1, then I have 51 and 5 left. 51 divided by (something) to get 3? 51/17=3, but where to get 17? Maybe 5+12? Not sure.
Alternatively, maybe 51 divided by (45 - (44 - something)). Not sure.
Alternatively, maybe (51 - (45 - (44 -5))). Let's compute step by step: 44-5=39. 45-39=6. 51-6=45. Not helpful.
Hmm, this is tricky. Maybe I need to try all possible combinations systematically. Let's list all possible pairs and see.
Possible pairs:
First, pick two numbers to combine, then combine the other two, then combine those results.
Let me try combinations:
Option 1: Combine 5 and 45 first.
5 +45=50. Then remaining numbers 51 and44. Need to combine them with 50 to get 14. So 50 +51+44 is way over. Alternatively, 50 - (51+44)= negative. Not helpful.
Alternatively, 50 -51= -1, then -1 +44=43. Not helpful.
Alternatively, 50 * (something). Probably too big.
Alternatively, 50 divided by something. 50/(51-44)=50/7≈7.14. Then plus or minus? Not sure.
Hmm, maybe subtraction first. 51-44=7. Then combine with 5 and45. Let's see, 5+45=50. 50-7=43. Not helpful.
Alternatively, 5*7=35. Then 45-35=10. Then plus 44? No.
Hmm, maybe 45-5=40. Then 51-44=7. 40+7=47. Not helpful.
Alternatively, 45 divided by5=9. Then 51-44=7. 9+7=16. Close to 14. If I can subtract 2, but how?
Wait, maybe (45/5) + (51-44) =9+7=16. Then subtract (something). But I've already used all numbers. Wait, no, in this case, I used 45,5,51,44. All four numbers. So that gives 16, but target is 14. So maybe that's close but not exact.
Hmm, perhaps if I can get 14 by adjusting that. Let's see, maybe instead of adding, subtract. Like (45/5) - (51-44) =9-7=2. Not helpful.
Alternatively, (51 - (45/5)) -44. Let's compute: 45/5=9. 51-9=42. 42-44= -2.
Hmm.
Alternatively, (51 -44) * (45/5) =7*9=63. Not helpful.
Hmm, maybe (44 - (51 - (45/5))) =44 - (51-9)=44-42=2.
Hmm.
Alternatively, (45 - (51 - (44/5))) Let's compute 44/5=8.8. 51-8.8=42.2. 45-42.2=2.8.
Hmm.
Wait, maybe (5*(something)) minus another number. Let's see, 5*(something)=14 + another number.
Suppose 5*x =14 + y, where x and y are results from other numbers.
Alternatively, maybe (51 - (45 - (44 -5))). Let's compute inner: 44-5=39. 45-39=6. 51-6=45.
Hmm.
Alternatively, (44 +5)=49. Then 51-49=2. Then 45 divided by that? 45/2=22.5.
Hmm.
Wait, maybe (45 - (44 +5)) =45-49= -4. Then 51 divided by that? Negative numbers allowed? 51/-4 is -12.75. Not helpful.
Hmm, maybe trying division in another way. Let's see, 45 divided by (something).
Wait, 45 divided by (51 -44)=45/7≈6.428. Then plus 5? 11.428. Not helpful.
Hmm, perhaps (51 divided by (45 - (44 -5))). Let's compute denominator: 44-5=39. 45-39=6. 51/6=8.5. Not helpful.
Hmm, maybe ( (45 -5) divided by (51 -44) ) → 40/7≈5.714. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try another approach. Let's see, the numbers are 5,45,51,44. Let me see if any combination can subtract to get 14.
For example, 51 - (something)=14 → something is 37. How to get 37 from 45,44,5. 45+44=89, minus 5 is 84. Not.
Alternatively, 45 - (something)=14 → something is 31. How to get 31 from 51,44,5. 51- (44-5)=51-39=12. Not.
Hmm.
Alternatively, 44 - (something)=14 → something is 30. How to get 30 from 5,45,51. 45-15=30. How to get 15? 5*3. But how to get 3 from 51? 51 divided by 17? Not helpful.
Alternatively, 51 - (something)=14 → something is 37. Again, same as before.
Hmm.
Wait, maybe using multiplication and subtraction. Let's see, 5*(something) minus another number.
Suppose 5* something =14 + another number. Let's see, if I can get 5*(something) to be 14 plus another number.
Alternatively, maybe (51 -44)=7. Then 45 divided by5=9. 7+9=16. If I can subtract 2, but how?
Wait, maybe ( (45 /5) + (51 -44) ) - (something). But I've already used all numbers.
Hmm.
Alternatively, maybe (51 - (45 - (44 -5))) → 44-5=39, 45-39=6, 51-6=45.
Hmm.
Wait, perhaps (44 - (51 - (45 -5))) → 45-5=40, 51-40=11, 44-11=33.
Hmm.
Alternatively, ( (45 -44) * (51 -5) ) → 1 *46=46.
Hmm.
Wait, maybe (5*(45 -44)) + (51 - something). Let's see, 45-44=1, 5*1=5. Then 51 - something needs to be 9 to get total 14. So 51 - something=9 → something=42. How to get 42 from remaining number? But I've already used 45 and44, so remaining is 51 and the other number is 5? Wait, no, the numbers are 5,45,51,44. So if I used 45 and44, then remaining are 5 and51. So 51 - (something) where something is 5? 51-5=46. Then 5+46=51. Not helpful.
Hmm.
Wait, maybe (51 - (45 - (44/5))) → 44 divided by5 is8.8. 45-8.8=36.2. 51-36.2=14.8. Close but not exact.
Hmm, maybe fractions are allowed but the target is integer. So perhaps that's not the way.
Alternatively, maybe (44 +5)=49. Then 51-49=2. Then 45 divided by that is22.5. Not helpful.
Hmm.
Wait, perhaps (45 - (51 - (44/5))) → 44/5=8.8. 51-8.8=42.2. 45-42.2=2.8.
Hmm.
Alternatively, ( (45 -5) divided by (51 -44) ) → 40/7≈5.714.
Hmm.
Wait, maybe (51 divided by (44 - (45 -5))) → 45-5=40. 44-40=4. 51/4=12.75.
Hmm.
Hmm, maybe I need to try a different combination. Let's see, perhaps using 5 and 44 first.
5+44=49. Then 51-45=6. 49+6=55. Not helpful.
Alternatively, 5*44=220. Then 220 - (51+45)=220-96=124.
Hmm.
Alternatively, 44-5=39. Then 51-39=12. Then 45 divided by something? 45/12=3.75.
Hmm.
Alternatively, (44 -5)=39. Then 45-39=6. Then 51 divided by6≈8.5.
Hmm.
Hmm, maybe trying to use division in a way that gives an integer. Let's see, 45 divided by5 is9. Then 51-44=7. 9+7=16. If I can subtract 2, but how?
Wait, maybe ( (45/5) + (51-44) ) - (something). But I've already used all numbers.
Alternatively, maybe ( (45/5) + (51 -44) ) - (something else). But there's no numbers left.
Hmm.
Wait, perhaps (51 - (45 - (44 -5))) → 44-5=39, 45-39=6, 51-6=45.
Hmm.
Alternatively, ( (45 - (44 -5)) ) * (51/ something). Let's see, 44-5=39. 45-39=6. 51 divided by something. If divided by 6, 51/6=8.5. 6*8.5=51. Not helpful.
Hmm.
Wait, maybe ( (51 -45) * (44 -5) ). Let's compute: 51-45=6, 44-5=39. 6*39=234. Way too big.
Hmm.
Hmm, maybe I'm missing something. Let me try to think of all possible pairs and see if any combination can lead to 14.
Let me list all possible pairs and their results:
Possible pairs:
5 and45:
5+45=50
5*45=225
5-45=-40
45-5=40
5/45≈0.111
45/5=9
5 and51:
5+51=56
5*51=255
5-51=-46
51-5=46
5/51≈0.098
51/5=10.2
5 and44:
5+44=49
5*44=220
5-44=-39
44-5=39
5/44≈0.113
44/5=8.8
45 and51:
45+51=96
45*51=2295
45-51=-6
51-45=6
45/51≈0.882
51/45≈1.133
45 and44:
45+44=89
45*44=1980
45-44=1
44-45=-1
45/44≈1.022
44/45≈0.977
51 and44:
51+44=95
51*44=2244
51-44=7
44-51=-7
51/44≈1.159
44/51≈0.862
Now, let's see if any of these pairs can combine with the other two numbers to reach 14.
Let's try each pair:
First pair: 5 and45 → 9 (since 45/5=9). Then remaining numbers are51 and44. Need to combine 9,51,44 to get14.
Possible with 9,51,44:
Looking for 14. Let's see:
51-44=7. 9+7=16. Close.
Alternatively, 51- (44 -9)=51-35=16.
Hmm.
Alternatively, (51 -44) * (something). 7* something. 7*2=14. So if I can get 2 from 9. 9-7=2. Wait, but that would require using 9 and7 again.
Wait, let's see:
If I have 9 (from 45/5), and 51 and44. Let's see:
(51 -44) =7. Then 9 - (something)=14? No.
Alternatively, (51 - (44 +9))=51-53= -2.
Hmm.
Alternatively, (44 - (51 -9))=44-42=2.
Hmm.
Alternatively, (51 divided by (something)). 51 divided by (44 -9)=51/35≈1.457.
Hmm.
Alternatively, (9 + (51 -44))=16.
Hmm.
Hmm, maybe this path isn't working. Let's try another pair.
Second pair: 5 and51 → 51-5=46. Remaining numbers 45 and44.
46,45,44. Need to get to14.
Hmm, 45-44=1. 46-1=45. Not helpful.
Alternatively, 45- (46-44)=45-2=43.
Hmm.
Alternatively, (44 - (45 -46))=44-(-1)=45.
Hmm.
Alternatively, 46 divided by (something). 46/(45-44)=46/1=46. Then 46- something?
Hmm.
Hmm, not helpful.
Third pair:5 and44 → 44-5=39. Remaining numbers45 and51.
39,45,51.
Hmm, 51-45=6. 39-6=33.
Alternatively, 45-39=6. 51-6=45.
Hmm.
Hmm.
Fourth pair:45 and51 →51-45=6. Remaining numbers5 and44.
6,5,44.
Hmm, 44- (5+6)=33.
Alternatively, 5*6=30. 44-30=14. Oh! Wait, that's it!
Wait, let me check that again.
If I take 45 and51 first, subtract them to get6. Then the remaining numbers are5 and44.
Then, 5*6=30. Then 44-30=14.
Yes! That works.
So the steps would be:
First, 51 -45 =6.
Then, 5 *6 =30.
Then, 44 -30 =14.
So putting it all together with parentheses:
44 - (5 * (51 -45))
Let me compute that:
51-45=6. 5*6=30. 44-30=14.
Yes! That works.
So the formula is 44 -5*(51-45) =14.
Let me check if all numbers are used exactly once: 51,45,5,44. Yes, each is used once.
Perfect! So that's the solution.
{
"formula": '44 - 5*(51 - 45)'
}<|im_end|>
|
[
18,
100,
98,
53
] | 44 |
496
|
{
"formula": '53 - (18 / (100 - 98))'
}
| 1,420 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 100, 98, 53,
target: 44
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 44',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '53 - (18 / (100 - 98))'
}<|im_end|>
|
[
41,
43,
53,
4
] | 59 |
489
|
{
"formula": '53 + 4 + 43 - 41'
}
| 1,751 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 41, 43, 53, 4,
target: 59
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 59',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '53 + 4 + 43 - 41'
}<|im_end|>
|
[
51,
65,
85,
43
] | 74 |
502
|
{
"formula": '(43 + 51) - (85 - 65)'
}
| 1,099 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 65, 85, 43,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(43 + 51) - (85 - 65)'
}<|im_end|>
|
[
8,
54,
5,
11
] | 27 |
546
|
{
"formula": '54 / (8 - (11 - 5))',
}
| 615 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 54, 5, 11,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '54 / (8 - (11 - 5))',
}<|im_end|>
|
[
79,
20,
75,
39
] | 63 |
472
|
{
"formula": '(79 - 75) + 20 + 39'
}
| 3,574 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 79, 20, 75, 39,
target: 63
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 63',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(79 - 75) + 20 + 39'
}<|im_end|>
|
[
95,
66,
5,
70
] | 36 |
521
|
{
"formula": '70 - 95 + 66 - 5'
}
| 1,753 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 95, 66, 5, 70,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '70 - 95 + 66 - 5'
}<|im_end|>
|
[
97,
52,
7,
84
] | 72 |
516
|
{
"formula": "(97 - 84) + 52 + 7"
}
| 2,643 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 97, 52, 7, 84,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(97 - 84) + 52 + 7"
}<|im_end|>
|
[
11,
84,
93,
8
] | 79 |
531
|
{
"formula": '84 - (93 - (11 * 8))'
}
| 1,688 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 11, 84, 93, 8,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '84 - (93 - (11 * 8))'
}<|im_end|>
|
[
41,
10,
92,
78
] | 45 |
500
|
{
"formula": '(92 + 41) - (78 + 10)'
}
| 1,697 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 41, 10, 92, 78,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(92 + 41) - (78 + 10)'
}<|im_end|>
|
[
100,
17,
78,
41
] | 80 |
540
|
{
"formula": "100 + 41 + 17 - 78"
}
| 10,033 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 100, 17, 78, 41,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "100 + 41 + 17 - 78"
}<|im_end|>
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.