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
|
|---|---|---|---|---|---|---|
[
77,
10,
24,
48
] | 72 |
304
|
{
"formula": '77 - (24 / (48 / 10))'
}
| 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: 77, 10, 24, 48,
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": '77 - (24 / (48 / 10))'
}<|im_end|>
|
[
44,
10,
40,
28
] | 34 |
268
|
{
"formula": '40 - 44 + 28 + 10'
}
| 2,544 | 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, 10, 40, 28,
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": '40 - 44 + 28 + 10'
}<|im_end|>
|
[
18,
1,
90,
98
] | 11 |
334
|
{
"formula": '(18 + 1) - (98 - 90)',
}
| 628 | 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: 18, 1, 90, 98,
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": '(18 + 1) - (98 - 90)',
}<|im_end|>
|
[
30,
85,
75,
29
] | 32 |
288
|
{
"formula": "(30/(85-75)) +29"
}
| 1,643 | 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, 85, 75, 29,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(30/(85-75)) +29"
}<|im_end|>
|
[
36,
6,
23,
92
] | 46 |
89
|
{
"formula": '(36 + 6) + (92 / 23)'
}
| 4,557 | 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, 23, 92,
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": '(36 + 6) + (92 / 23)'
}<|im_end|>
|
[
12,
40,
73,
72
] | 53 |
306
|
{
"formula": '73 - (72 - (40 + 12))'
}
| 1,294 | 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: 12, 40, 73, 72,
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 - (72 - (40 + 12))'
}<|im_end|>
|
[
96,
100,
33,
50
] | 13 |
323
|
{
"formula": "(50 - 33) - (100 - 96)"
}
| 870 | 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: 96, 100, 33, 50,
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": "(50 - 33) - (100 - 96)"
}<|im_end|>
|
[
89,
71,
16,
5
] | 50 |
196
|
{
"formula": '(89 + 71) / (16 / 5)'
}
| 5,635 | 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: 89, 71, 16, 5,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(89 + 71) / (16 / 5)'
}<|im_end|>
|
[
97,
64,
42,
2
] | 73 |
320
|
{
"formula": '97 - (64 - (42 - 2))',
}
| 1,136 | 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, 64, 42, 2,
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": '97 - (64 - (42 - 2))',
}<|im_end|>
|
[
38,
5,
9,
99
] | 27 |
302
|
{
"formula": '9*(99/(38-5))'
}
| 1,856 | 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: 38, 5, 9, 99,
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": '9*(99/(38-5))'
}<|im_end|>
|
[
33,
67,
19,
64
] | 11 |
328
|
{
"formula": '(33 - 19) - (67 - 64)'
}
| 819 | 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, 67, 19, 64,
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": '(33 - 19) - (67 - 64)'
}<|im_end|>
|
[
2,
51,
96,
16
] | 59 |
132
|
{
"formula": "96 - (51 - (16 - 2))"
}
| 5,463 | 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, 51, 96, 16,
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": "96 - (51 - (16 - 2))"
}<|im_end|>
|
[
4,
98,
21,
100
] | 34 |
321
|
{
"formula": "(100 - 98) * (21 - 4)"
}
| 844 | 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: 4, 98, 21, 100,
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": "(100 - 98) * (21 - 4)"
}<|im_end|>
|
[
65,
59,
94,
12
] | 63 |
275
|
{
"formula": '65 - (94 / (59 - 12))'
}
| 3,193 | 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: 65, 59, 94, 12,
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": '65 - (94 / (59 - 12))'
}<|im_end|>
|
[
34,
37,
88,
20
] | 65 |
325
|
{
"formula": '(34 + 88) - (37 + 20)'
}
| 2,651 | 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: 34, 37, 88, 20,
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": '(34 + 88) - (37 + 20)'
}<|im_end|>
|
[
82,
14,
58,
12
] | 99 |
316
|
{
"formula": "(82/(14-12)) +58"
}
| 1,526 | 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: 82, 14, 58, 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": "(82/(14-12)) +58"
}<|im_end|>
|
[
59,
9,
11,
35
] | 92 |
309
|
{
"formula": '59 + 35 + 9 - 11'
}
| 1,989 | 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: 59, 9, 11, 35,
target: 92
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 92',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '59 + 35 + 9 - 11'
}<|im_end|>
|
[
80,
45,
7,
11
] | 42 |
332
|
{
"formula": '(11 * 7) - (80 - 45)'
}
| 2,027 | 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: 80, 45, 7, 11,
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": '(11 * 7) - (80 - 45)'
}<|im_end|>
|
[
63,
21,
19,
2
] | 63 |
335
|
{
"formula": '63 + (21 - 19 - 2)'
}
| 830 | 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: 63, 21, 19, 2,
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": '63 + (21 - 19 - 2)'
}<|im_end|>
|
[
60,
2,
4,
89
] | 62 |
300
|
{
"formula": '(89 - 60) * 2 + 4'
}
| 2,070 | 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: 60, 2, 4, 89,
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": '(89 - 60) * 2 + 4'
}<|im_end|>
|
[
52,
59,
8,
55
] | 48 |
350
|
{
"formula": '(52 + 59) - (55 + 8)',
}
| 3,133 | 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, 59, 8, 55,
target: 48
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 48',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(52 + 59) - (55 + 8)',
}<|im_end|>
|
[
7,
75,
30,
73
] | 32 |
29
|
{
"formula": "(30 / 75) * (73 + 7)"
}
| 6,208 | 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: 7, 75, 30, 73,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(30 / 75) * (73 + 7)"
}<|im_end|>
|
[
50,
25,
15,
80
] | 64 |
166
|
{
"formula": "(25 + 15) * (80 / 50)"
}
| 6,631 | 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, 25, 15, 80,
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": "(25 + 15) * (80 / 50)"
}<|im_end|>
|
[
64,
40,
82,
44
] | 66 |
287
|
{
"formula": '40 + 44 + 64 - 82 = 66'
}
| 2,639 | 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: 64, 40, 82, 44,
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": '40 + 44 + 64 - 82 = 66'
}<|im_end|>
|
[
39,
66,
11,
58
] | 13 |
330
|
{
"formula": '(58 - 39) - (66 / 11)'
}
| 942 | 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, 66, 11, 58,
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": '(58 - 39) - (66 / 11)'
}<|im_end|>
|
[
12,
5,
9,
59
] | 62 |
298
|
{
"formula": '59 - (12 / (5 - 9))',
}
| 2,779 | 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: 12, 5, 9, 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": '59 - (12 / (5 - 9))',
}<|im_end|>
|
[
36,
26,
14,
44
] | 52 |
327
|
{
"formula": '26*(44/(36-14))'
}
| 1,700 | 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, 26, 14, 44,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '26*(44/(36-14))'
}<|im_end|>
|
[
75,
24,
10,
16
] | 79 |
324
|
{
"formula": '75 + (24 / (16 - 10))',
}
| 1,446 | 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: 75, 24, 10, 16,
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": '75 + (24 / (16 - 10))',
}<|im_end|>
|
[
96,
27,
87,
53
] | 56 |
141
|
{
"formula": '53 + (27 / (96 - 87))'
}
| 6,119 | 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: 96, 27, 87, 53,
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": '53 + (27 / (96 - 87))'
}<|im_end|>
|
[
93,
13,
57,
39
] | 39 |
319
|
{
"formula": '(57 - (93 - 39)) * 13'
}
| 1,979 | 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, 13, 57, 39,
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": '(57 - (93 - 39)) * 13'
}<|im_end|>
|
[
42,
47,
75,
75
] | 50 |
362
|
{
"formula": '75/(42/(75-47))'
}
| 3,356 | 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, 47, 75, 75,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '75/(42/(75-47))'
}<|im_end|>
|
[
25,
77,
78,
43
] | 87 |
349
|
{
"formula": '77 - (25 - (78 - 43))',
}
| 990 | 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: 25, 77, 78, 43,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 - (25 - (78 - 43))',
}<|im_end|>
|
[
8,
7,
10,
77
] | 87 |
340
|
{
"formula": '77 + 10*(8 - 7)'
}
| 1,013 | 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, 7, 10, 77,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 + 10*(8 - 7)'
}<|im_end|>
|
[
51,
6,
63,
24
] | 14 |
115
|
{
"formula": '(63 / (51 - 24)) * 6'
}
| 8,832 | 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: 51, 6, 63, 24,
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": '(63 / (51 - 24)) * 6'
}<|im_end|>
|
[
36,
4,
95,
35
] | 24 |
212
|
{
"formula": '(36 + (95 - 35)) / 4'
}
| 6,357 | 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, 4, 95, 35,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(36 + (95 - 35)) / 4'
}<|im_end|>
|
[
50,
49,
60,
39
] | 100 |
280
|
{
"formula": '50 + (60 - 49) + 39 = 100',
}
| 777 | 126 |
<|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, 49, 60, 39,
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": '50 + (60 - 49) + 39 = 100',
}<|im_end|>
|
[
90,
2,
82,
67
] | 73 |
344
|
{
"formula": '90 - (82 - (67 - 2))'
}
| 1,006 | 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: 90, 2, 82, 67,
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": '90 - (82 - (67 - 2))'
}<|im_end|>
|
[
38,
44,
48,
74
] | 32 |
331
|
{
"formula": '44 - (38 - (74 - 48))'
}
| 2,067 | 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: 38, 44, 48, 74,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '44 - (38 - (74 - 48))'
}<|im_end|>
|
[
97,
18,
27,
20
] | 29 |
347
|
{
"formula": '18*(27-20)-97=29'
}
| 1,329 | 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, 18, 27, 20,
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": '18*(27-20)-97=29'
}<|im_end|>
|
[
48,
67,
24,
17
] | 82 |
339
|
{
"formula": '67 + 17 - (48 / 24) = 82'
}
| 1,407 | 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, 67, 24, 17,
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": '67 + 17 - (48 / 24) = 82'
}<|im_end|>
|
[
24,
39,
38,
57
] | 34 |
352
|
{
"formula": '(57 - 38) + (39 - 24)'
}
| 959 | 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, 39, 38, 57,
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": '(57 - 38) + (39 - 24)'
}<|im_end|>
|
[
5,
24,
45,
63
] | 89 |
348
|
{
"formula": '(45 - 24) + 63 + 5'
}
| 1,132 | 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, 24, 45, 63,
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": '(45 - 24) + 63 + 5'
}<|im_end|>
|
[
41,
11,
5,
2
] | 98 |
333
|
{
"formula": '41 * 2 + 11 + 5',
}
| 1,908 | 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: 41, 11, 5, 2,
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": '41 * 2 + 11 + 5',
}<|im_end|>
|
[
10,
3,
4,
94
] | 85 |
369
|
{
"formula": '94 - (10 - (4 - 3))'
}
| 592 | 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: 10, 3, 4, 94,
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": '94 - (10 - (4 - 3))'
}<|im_end|>
|
[
93,
60,
8,
81
] | 15 |
343
|
{
"formula": '60 / (93 - 8 - 81) = 15'
}
| 1,620 | 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: 93, 60, 8, 81,
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": '60 / (93 - 8 - 81) = 15'
}<|im_end|>
|
[
47,
52,
6,
35
] | 50 |
375
|
{
"formula": '52 - ((47 - 35) / 6)'
}
| 5,650 | 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, 52, 6, 35,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '52 - ((47 - 35) / 6)'
}<|im_end|>
|
[
99,
71,
10,
67
] | 29 |
361
|
{
"formula": '71 - (99 - (67 - 10))',
}
| 1,201 | 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: 99, 71, 10, 67,
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": '71 - (99 - (67 - 10))',
}<|im_end|>
|
[
63,
23,
79,
92
] | 20 |
120
|
.73 +79 -92 ≈ -10.27. Not helpful.
Hmm, maybe trying another approach. Let's see, target is 20. Let's see if any combination of two numbers can give 20 when combined with others. For example, 23 -3 =20. How to get 3 from 63,79,92? 63 divided by 21 is 3, but 21 isn't there. Alternatively, 79-76=3, but 76 isn't there. Not helpful.
Alternatively, 92 -72=20. How to get 72 from 63,23,79? 63+9=72, but 9 isn't there. 79-7=72, but again, 7 isn't there. Hmm.
Alternatively, maybe (79 - 63) =16, then 23 -16=7, then 92 divided by (something). Not sure.
Wait, perhaps (92 - 79) =13, then 23 -13=10, then 63 divided by something? 63 divided by 6.3 is 10, but that's not helpful.
Alternatively, maybe (63 - (92 -79)) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x = 0.4 → x=57.5. But I don't have 57.5.
Hmm, this is tough. Maybe trying another path. Let's see, perhaps using division between two numbers. Let's see, 63 divided by 23 is about 2.73, but maybe multiplied by something else. 2.73 * 7.33 would be 20, but not sure.
Alternatively, 79 divided by something. 79 divided by (something) to get a fraction. Let's see, 79/(something) plus something else equals 20. Not sure.
Wait, maybe (23 * (something)) minus something else. Let's see, 23* (something) = 20 + something. Let's see, 23*(something) = 20 + (something else). For example, 23*(something) = 20 + (92 -79). That would be 23x = 20 +13 → 23x=33 → x≈1.434. Not helpful.
Alternatively, maybe (92 - (79 - (63 / 23))). Let's compute that. 63/23 ≈2.739. Then 79 -2.739≈76.26. Then 92 -76.26≈15.74. Not 20.
Hmm, maybe trying to use multiplication and division together. Let's see, (63 - 23) =40. Then 40 * (something) divided by something else. 40*(something) divided by (something else) equals 20. So 40*(something)/(something else)=20 → (something)/(something else)=0.5. So maybe (something) is half of (something else). Let's see, if I can get two numbers where one is half the other. For example, 79 and 158, but 158 isn't there. Alternatively, 92 and 46, but 46 isn't there. Hmm.
Alternatively, maybe (79 - 63) =16. Then 23 -16=7. Then 92 divided by 7 is about 13.14. Not helpful.
Wait, perhaps (92 - (79 + (63 -23))). Let's compute that. 63-23=40, then 79+40=119, then 92-119= -27. Not helpful.
Hmm, maybe trying to use fractions more cleverly. Let's see, 23 divided by (something) to get a fraction. Let's see, 23/(something) plus something else equals 20. For example, 23/(x) + y =20. Maybe x and y are made from the other numbers. Let's see, if I can get x from 63 and 79, and y from 92. Not sure.
Alternatively, maybe ( (92 - 79) * (63 - 23) ) divided by something. Let's see, 13 *40 =520. 520 divided by 26 would be 20. But how to get 26 from the remaining numbers? Wait, but I already used all numbers except maybe? Wait, no, in this case, I used all four numbers: 92,79,63,23. So 520 divided by 26 would require 26, but I don't have that. Hmm.
Wait, but maybe 520 divided by (something else). Wait, but I can't reuse numbers. Hmm.
Alternatively, maybe ( (63 + 23) * (something) ) divided by something else. 63+23=86. 86 multiplied by something divided by something else. Not sure.
Hmm, maybe trying another angle. Let's see, 20 is a small number, so perhaps subtracting two large numbers and then adding or subtracting others. Let's see, 92-79=13, then 63-23=40. Then 13 +40=53. Not helpful. Alternatively, 92- (79 +63 -23). Let's compute that: 79+63=142, minus23=119. 92-119= -27. No.
Alternatively, (92 - (79 +63)) +23. 79+63=142, 92-142= -50 +23= -27. Still no.
Hmm, maybe division is necessary. Let's see, 92 divided by (something). Let's see, 92/(something) plus something else equals 20. Let's see, if I can get 92 divided by (something) to be, say, 20 minus another term. Let's see, maybe 92/(something) =20 - (something else). Let's see, perhaps 92 divided by (something) equals 20 minus (another expression). Let me try:
Suppose I have 92 divided by (79 - (63 -23)). Let's compute denominator: 63-23=40, so 79-40=39. Then 92/39 ≈2.359. Then adding that to something? Not sure.
Alternatively, maybe (63 / (something)) plus (something else). Let's see, 63 divided by (something) to get a smaller number. For example, 63 divided by 23 is ~2.73. Then adding 79 and subtracting 92? 2.73 +79 -92 ≈-10.27. Not helpful.
Hmm, maybe trying to use multiplication and division in a way that cancels out. Let's see, ( (92 -79) * (23 - (63/x)) )? Not sure.
Alternatively, perhaps ( (23 * (something)) divided by something else ). Let's see, 23 multiplied by (something) divided by another number. Let's see, 23*(something) divided by (something else) equals 20. So 23x/y =20 → x/y =20/23. So maybe x/y is 20/23. Let's see, can I get x and y from the remaining numbers (63 and 79 and 92?) Wait, but I have to use all four numbers. Hmm.
Alternatively, maybe ( (63 - (92 -79)) ) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x =0.4 → x=57.5. But I don't have 57.5. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, ( (92 - 79) ) divided by (something) plus something else. 13 divided by (something) plus something. Let's see, 13/(something) + something else =20. Maybe 13/(something) =20 - something else. Let's see, if I can get something else from 63 and 23. For example, 63-23=40. Then 13/x =20-40 → negative, which isn't helpful.
Alternatively, maybe ( (79 - 63) divided by (something) ) plus something else. 16 divided by something plus something. Let's see, 16/x + y =20. Maybe 16/(something) plus (92-23)=69. 16/x +69=20 → 16/x =-49 → no.
Hmm, this is really challenging. Maybe I need to think of a different combination. Let me try to list all possible pairs and see:
Possible pairs:
63 and 23: 63+23=86, 63-23=40, 23-63=-40, 63*23=1449, 63/23≈2.739, 23/63≈0.365.
63 and 79: 63+79=142, 63-79=-16, 79-63=16, 63*79=4977, etc.
63 and 92: 63+92=155, 63-92=-29, 92-63=29, 63*92=5796.
23 and 79: 23+79=102, 23-79=-56, 79-23=56, 23*79=1817.
23 and 92: 23+92=115, 23-92=-69, 92-23=69, 23*92=2116.
79 and 92: 79+92=171, 79-92=-13, 92-79=13, 79*92=7268.
Hmm, maybe using 92-79=13. Then 13 is a useful number. Let's see, if I have 13, then maybe 23 - (something) = something. Let's see, 23 - (63/x) = ?
Alternatively, maybe (23 - (63 / (92 -79))). Let's compute denominator first: 92-79=13. So 63 divided by 13 is approximately 4.846. Then 23 -4.846≈18.15. Not 20.
Hmm, close but not quite. Maybe ( (63 / (92 -79)) ) +23. That would be 63/13 +23 ≈4.846+23≈27.846. Not helpful.
Alternatively, ( (92 -79) * (23 - (63/x)) ). Not sure.
Wait, maybe ( (63 - (92 -79)) ) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x=0.4 → x=57.5. Not possible.
Hmm, maybe trying to use division in a different way. Let's see, ( (23 * (something)) divided by (something else) ). Let's see, 23*(something) divided by (something else) equals 20. So 23x/y=20 → x/y=20/23. Let's see, can I get x and y from the remaining numbers (63,79,92). Let's see, perhaps 63 and 79. 63/79 is about 0.797, which is not 20/23≈0.869. Close but not exact. Alternatively, 92 divided by something. 92 divided by (something) to get 23x/y. Not sure.
Alternatively, maybe ( (92 - (79 - (63 /23))) ). Let's compute step by step. 63/23≈2.739. Then 79-2.739≈76.26. Then 92-76.26≈15.74. Not helpful.
Hmm, maybe trying to use fractions more precisely. Let's see, perhaps ( (63 - 23) divided by (something) ) plus something else. 63-23=40. 40 divided by (something) plus something else. Let's see, 40 divided by (something) plus (92-79)=13. So 40/x +13=20 → 40/x=7 → x≈5.714. Can I get 5.714 from 79 and 92? Not directly. Hmm.
Alternatively, maybe ( (92 - (79 - (63 -23))) ). Let's compute innermost first: 63-23=40. Then 79-40=39. Then 92-39=53. Not helpful.
Hmm, maybe trying to use multiplication and subtraction. Let's see, 23*(something) minus something else. Let's see, 23* (something) =20 + something else. Let's see, 23*(something) =20 + (92-79). That would be 23x=33 → x≈1.434. Not helpful.
Alternatively, 23*(something) minus (something else)=20. Let's see, 23*(something) - (something else)=20. Let's see, maybe 23*(something) =20 + (something else). Let's see, if I can get something from 63 and 79 and 92. Not sure.
Wait, maybe ( (63 + 23) - (92 -79) ). Let's compute that: 63+23=86, 92-79=13. 86-13=73. Not 20.
Hmm, maybe ( (79 - (63 -23)) ) divided by (something). Let's compute 63-23=40, so 79-40=39. Then 39 divided by (something). To get 20, 39/x=20 → x=1.95. Not helpful.
Alternatively, ( (92 divided by (something)) ) plus (something else). Let's see, 92 divided by (something) plus something else equals 20. Let's see, if I can get denominator from 63 and 23. For example, 63-23=40. Then 92/40=2.3. Then 2.3 + (79 - something). Wait, but I have to use all numbers. Hmm.
Alternatively, 92 divided by (79 - (63 -23)). Let's compute denominator: 63-23=40, so 79-40=39. 92/39≈2.359. Then adding that to 23? 2.359+23≈25.359. Not 20.
Hmm, maybe trying to use all four numbers in a more complex way. Let's see:
Let me think of 20 as (something) minus (something else). Let's see, maybe (63 - (something)) divided by (something else). Let's see, 63 divided by something minus something else. Not sure.
Alternatively, ( (63 * 23) divided by (something) ) minus something else. 63*23=1449. 1449 divided by (something) minus something else equals 20. Let's see, maybe 1449/(something)=20 + something else. Not sure.
Hmm, perhaps I'm overcomplicating. Let me try to see if there's a way to get 20 by combining three numbers first and then using the fourth. Let's see:
Suppose I use 63,23,79 to get a number, then combine with 92. Let's see:
63 +23 +79 =165. 165 -92=73. Not helpful.
63*23=1449. 1449 divided by 79≈18.34. Then 18.34 +92≈110.34. Not helpful.
Hmm, maybe (63 -23)=40. Then 40*(something) divided by something else. Let's see, 40*(something) divided by (something else)=20 → (something)/(something else)=0.5. So maybe (something) is half of (something else). Let's see, can I get two numbers where one is half the other? For example, 79 and 158 (no), 92 and 46 (no). Alternatively, maybe (79 - something) divided by (something else). Let's see, 79- (something)=x, and x divided by something else is 0.5. Not sure.
Alternatively, maybe ( (92 -79) * (something) ) divided by something else. 13*(something)/something else=20. Let's see, 13* (something)=20*(something else). Maybe 13* (something) =20*(something else). Let's see, if I can get something and something else from 63 and 23. Let's see, 63 and 23. Let's see, 13* (something) =20*(something else). Let's see, maybe 13*63 = 819, and 20* something else. 819 divided by 20 is 40.95, which isn't 23. Not helpful.
Hmm, maybe trying to use division between two numbers to get a fraction that can be multiplied or added. Let's see, 23 divided by (something) to get a fraction. Let's see, 23 divided by (something) plus something else equals 20. Let's see, if I can get the denominator from 63 and 79 and 92. For example, 63+79=142. 23/142≈0.162. Then adding 92 gives 92.162, which is way over.
Alternatively, 23 divided by (92-79)=13 → 23/13≈1.769. Then adding 63 gives 64.769. Not helpful.
Hmm, maybe ( (63 / (something)) + (something else) ) equals 20. Let's see, 63 divided by (something) plus something else. Let's see, if I can get denominator from 23 and 79. For example, 23+79=102. 63/102≈0.617. Then adding 92 gives 92.617. Not helpful.
Alternatively, 63 divided by (something) minus something else. Let's see, 63 divided by (something) minus (something else)=20. Let's see, maybe denominator is 23, so 63/23≈2.739. Then 2.739 - (something else)=20 → something else is negative. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, ( (something) - (something else) ) divided by (another something). Let's see, (92 - (79 - (63 -23))) divided by something. Wait, earlier that was 53. 53 divided by something equals 20? Not unless divided by 2.65, which isn't there.
Alternatively, ( (63 - (92 -79)) divided by (something) ). 63-13=50. 50 divided by (something)=20 → something=2.5. Can I get 2.5 from 23? 23 divided by 9.2 is 2.5, but 9.2 isn't there. Hmm.
Wait, maybe ( (23 * (something)) divided by (something else) ). Let's see, 23*(something) divided by (something else)=20. Let's see, if I can get (something) from 63 and (something else) from 79 and 92. Let's see, 23* (something) =20*(something else). Let's see, maybe 23*63=1449. 1449 divided by something else=20 → something else=72.45. Not possible.
Hmm, maybe trying to use all four numbers in a division. Let's see, ( (something) divided by (something else) ) * (something else) + something. Not sure.
Alternatively, maybe ( (92 - (79 - (63 /23))) ). Let's compute step by step. 63/23≈2.739. Then 79-2.739≈76.26. Then 92-76.26≈15.74. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try to think of possible combinations where division gives a whole number. Let's see:
Looking for divisions that result in integers. Let's see:
63 divided by 23 → no.
63 divided by 7 → 9, but 7 isn't there.
63 divided by 3 →21, but 3 isn't there.
23 divided by something → only 23/23=1, but can't reuse.
79 divided by something → 79 is prime, so only 1 and 79.
92 divided by something → 92 divided by 23 is 4. Oh! Wait, 92 divided by 23 is exactly 4. That's a whole number. That's useful!
So 92 /23 =4. Then maybe 4 multiplied by something minus something else equals 20. Let's see:
If I have 4 from 92/23, then I need to use 63 and 79. Let's see:
4 * (something) - something else =20. Let's see, maybe 4*(something) =20 + something else. Let's see, if I can get something from 63 and 79. Let's see, 63-79= -16. So 4*(something) =20 + (-16) → 4x=4 → x=1. But how to get 1 from 63 and 79? Not possible.
Alternatively, maybe 4*(something) minus (something else)=20. Let's see, 4*(something) =20 + something else. Let's see, if I can get something from 63 and 79. Let's see, maybe (63 -79)= -16. Then 4x =20 + (-16) →4x=4 →x=1. Again, same problem.
Alternatively, maybe 4*(something) plus something else =20. Let's see, 4x + y =20. Let's see, if I can get x and y from 63 and 79. Let's see, 63-79= -16. So maybe 4*(something) + (-16)=20 →4x=36 →x=9. How to get 9 from 63 and 79? 63 divided by 7 is 9, but 7 isn't there. Alternatively, 79-70=9, but 70 isn't there. Hmm.
Alternatively, maybe using 63 and 79 in another way. Let's see, 63 divided by (something) plus something else. Wait, but I already used 23 and 92 for the division.
Wait, let's try this approach again. Since 92/23=4, then maybe 4*(something) - (something else)=20. Let's see, the remaining numbers are 63 and 79. Let's see, if I can get (something) from 63 and 79 such that 4*(something) minus the other number equals 20.
Let me denote:
Let’s say the something is (63 -79) =-16. Then 4*(-16) - something else? Not helpful.
Alternatively, (63 +79)=142. 4*142=568. 568 - something else? Not helpful.
Alternatively, maybe (something) is 63 divided by something. Let's see, 63 divided by (something) to get a value. Let's see, 63 divided by (something) plus something else. Wait, but I need to use all numbers. Hmm.
Alternatively, maybe ( (92 /23) * (something) ) - (something else) =20. Let's see, 4*(something) - (something else)=20. The remaining numbers are 63 and 79. Let's see:
If I take 4*63 =252. Then 252 -79=173. Not 20.
Alternatively, 4*79=316. 316-63=253. Not helpful.
Hmm, maybe (something else) is (63 -79)= -16. Then 4*(something) - (-16)=20 →4x +16=20 →4x=4 →x=1. But how to get x=1 from remaining numbers? Not possible.
Alternatively, maybe (something) is (63 /79). Then 4*(63/79) ≈3.34. Then 3.34 - something else=20 → something else is negative. Not helpful.
Hmm, maybe trying another path with the division. Let's see, 92 divided by 23 is 4. Then maybe 4 plus (something) divided by (something else)=20. Let's see, 4 + (something)/(something else)=20 → (something)/(something else)=16. So need to get 16 from 63 and 79. 63-79= -16, but absolute value? Not sure. Alternatively, 79-63=16. Oh! Wait, 79-63=16. So if I can do (79-63)=16, then 4 + (16) =20. Wait, that's exactly it!
Wait, let me check that again. Let's see:
If I do (92 /23) gives 4. Then (79 -63)=16. Then 4 +16=20. But how to combine all four numbers into one equation?
Ah! So the formula would be (92 /23) + (79 -63) =4 +16=20. Yes! That uses all four numbers exactly once. Let me verify:
Numbers used: 92,23,79,63. Each exactly once. Operations: division, subtraction, addition. Parentheses are needed to clarify the order. So the formula is (92 /23) + (79 -63) =20. Perfect!
So the equation is (92 ÷ 23) + (79 − 63) = 20. So the formula should be written as (92/23)+(79-63)=20. Alternatively, with proper parentheses: (92 / 23) + (79 - 63) = 20. That works!
{
"formula": '(92 / 23) + (79 - 63) = 20'
}
| 7,866 | 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: 63, 23, 79, 92,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
.73 +79 -92 ≈ -10.27. Not helpful.
Hmm, maybe trying another approach. Let's see, target is 20. Let's see if any combination of two numbers can give 20 when combined with others. For example, 23 -3 =20. How to get 3 from 63,79,92? 63 divided by 21 is 3, but 21 isn't there. Alternatively, 79-76=3, but 76 isn't there. Not helpful.
Alternatively, 92 -72=20. How to get 72 from 63,23,79? 63+9=72, but 9 isn't there. 79-7=72, but again, 7 isn't there. Hmm.
Alternatively, maybe (79 - 63) =16, then 23 -16=7, then 92 divided by (something). Not sure.
Wait, perhaps (92 - 79) =13, then 23 -13=10, then 63 divided by something? 63 divided by 6.3 is 10, but that's not helpful.
Alternatively, maybe (63 - (92 -79)) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x = 0.4 → x=57.5. But I don't have 57.5.
Hmm, this is tough. Maybe trying another path. Let's see, perhaps using division between two numbers. Let's see, 63 divided by 23 is about 2.73, but maybe multiplied by something else. 2.73 * 7.33 would be 20, but not sure.
Alternatively, 79 divided by something. 79 divided by (something) to get a fraction. Let's see, 79/(something) plus something else equals 20. Not sure.
Wait, maybe (23 * (something)) minus something else. Let's see, 23* (something) = 20 + something. Let's see, 23*(something) = 20 + (something else). For example, 23*(something) = 20 + (92 -79). That would be 23x = 20 +13 → 23x=33 → x≈1.434. Not helpful.
Alternatively, maybe (92 - (79 - (63 / 23))). Let's compute that. 63/23 ≈2.739. Then 79 -2.739≈76.26. Then 92 -76.26≈15.74. Not 20.
Hmm, maybe trying to use multiplication and division together. Let's see, (63 - 23) =40. Then 40 * (something) divided by something else. 40*(something) divided by (something else) equals 20. So 40*(something)/(something else)=20 → (something)/(something else)=0.5. So maybe (something) is half of (something else). Let's see, if I can get two numbers where one is half the other. For example, 79 and 158, but 158 isn't there. Alternatively, 92 and 46, but 46 isn't there. Hmm.
Alternatively, maybe (79 - 63) =16. Then 23 -16=7. Then 92 divided by 7 is about 13.14. Not helpful.
Wait, perhaps (92 - (79 + (63 -23))). Let's compute that. 63-23=40, then 79+40=119, then 92-119= -27. Not helpful.
Hmm, maybe trying to use fractions more cleverly. Let's see, 23 divided by (something) to get a fraction. Let's see, 23/(something) plus something else equals 20. For example, 23/(x) + y =20. Maybe x and y are made from the other numbers. Let's see, if I can get x from 63 and 79, and y from 92. Not sure.
Alternatively, maybe ( (92 - 79) * (63 - 23) ) divided by something. Let's see, 13 *40 =520. 520 divided by 26 would be 20. But how to get 26 from the remaining numbers? Wait, but I already used all numbers except maybe? Wait, no, in this case, I used all four numbers: 92,79,63,23. So 520 divided by 26 would require 26, but I don't have that. Hmm.
Wait, but maybe 520 divided by (something else). Wait, but I can't reuse numbers. Hmm.
Alternatively, maybe ( (63 + 23) * (something) ) divided by something else. 63+23=86. 86 multiplied by something divided by something else. Not sure.
Hmm, maybe trying another angle. Let's see, 20 is a small number, so perhaps subtracting two large numbers and then adding or subtracting others. Let's see, 92-79=13, then 63-23=40. Then 13 +40=53. Not helpful. Alternatively, 92- (79 +63 -23). Let's compute that: 79+63=142, minus23=119. 92-119= -27. No.
Alternatively, (92 - (79 +63)) +23. 79+63=142, 92-142= -50 +23= -27. Still no.
Hmm, maybe division is necessary. Let's see, 92 divided by (something). Let's see, 92/(something) plus something else equals 20. Let's see, if I can get 92 divided by (something) to be, say, 20 minus another term. Let's see, maybe 92/(something) =20 - (something else). Let's see, perhaps 92 divided by (something) equals 20 minus (another expression). Let me try:
Suppose I have 92 divided by (79 - (63 -23)). Let's compute denominator: 63-23=40, so 79-40=39. Then 92/39 ≈2.359. Then adding that to something? Not sure.
Alternatively, maybe (63 / (something)) plus (something else). Let's see, 63 divided by (something) to get a smaller number. For example, 63 divided by 23 is ~2.73. Then adding 79 and subtracting 92? 2.73 +79 -92 ≈-10.27. Not helpful.
Hmm, maybe trying to use multiplication and division in a way that cancels out. Let's see, ( (92 -79) * (23 - (63/x)) )? Not sure.
Alternatively, perhaps ( (23 * (something)) divided by something else ). Let's see, 23 multiplied by (something) divided by another number. Let's see, 23*(something) divided by (something else) equals 20. So 23x/y =20 → x/y =20/23. So maybe x/y is 20/23. Let's see, can I get x and y from the remaining numbers (63 and 79 and 92?) Wait, but I have to use all four numbers. Hmm.
Alternatively, maybe ( (63 - (92 -79)) ) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x =0.4 → x=57.5. But I don't have 57.5. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, ( (92 - 79) ) divided by (something) plus something else. 13 divided by (something) plus something. Let's see, 13/(something) + something else =20. Maybe 13/(something) =20 - something else. Let's see, if I can get something else from 63 and 23. For example, 63-23=40. Then 13/x =20-40 → negative, which isn't helpful.
Alternatively, maybe ( (79 - 63) divided by (something) ) plus something else. 16 divided by something plus something. Let's see, 16/x + y =20. Maybe 16/(something) plus (92-23)=69. 16/x +69=20 → 16/x =-49 → no.
Hmm, this is really challenging. Maybe I need to think of a different combination. Let me try to list all possible pairs and see:
Possible pairs:
63 and 23: 63+23=86, 63-23=40, 23-63=-40, 63*23=1449, 63/23≈2.739, 23/63≈0.365.
63 and 79: 63+79=142, 63-79=-16, 79-63=16, 63*79=4977, etc.
63 and 92: 63+92=155, 63-92=-29, 92-63=29, 63*92=5796.
23 and 79: 23+79=102, 23-79=-56, 79-23=56, 23*79=1817.
23 and 92: 23+92=115, 23-92=-69, 92-23=69, 23*92=2116.
79 and 92: 79+92=171, 79-92=-13, 92-79=13, 79*92=7268.
Hmm, maybe using 92-79=13. Then 13 is a useful number. Let's see, if I have 13, then maybe 23 - (something) = something. Let's see, 23 - (63/x) = ?
Alternatively, maybe (23 - (63 / (92 -79))). Let's compute denominator first: 92-79=13. So 63 divided by 13 is approximately 4.846. Then 23 -4.846≈18.15. Not 20.
Hmm, close but not quite. Maybe ( (63 / (92 -79)) ) +23. That would be 63/13 +23 ≈4.846+23≈27.846. Not helpful.
Alternatively, ( (92 -79) * (23 - (63/x)) ). Not sure.
Wait, maybe ( (63 - (92 -79)) ) * (23 / something). Let's compute 92-79=13, so 63-13=50. Then 50 multiplied by (23 divided by something). To get 20, 50*(23/x)=20 → 23/x=0.4 → x=57.5. Not possible.
Hmm, maybe trying to use division in a different way. Let's see, ( (23 * (something)) divided by (something else) ). Let's see, 23*(something) divided by (something else) equals 20. So 23x/y=20 → x/y=20/23. Let's see, can I get x and y from the remaining numbers (63,79,92). Let's see, perhaps 63 and 79. 63/79 is about 0.797, which is not 20/23≈0.869. Close but not exact. Alternatively, 92 divided by something. 92 divided by (something) to get 23x/y. Not sure.
Alternatively, maybe ( (92 - (79 - (63 /23))) ). Let's compute step by step. 63/23≈2.739. Then 79-2.739≈76.26. Then 92-76.26≈15.74. Not helpful.
Hmm, maybe trying to use fractions more precisely. Let's see, perhaps ( (63 - 23) divided by (something) ) plus something else. 63-23=40. 40 divided by (something) plus something else. Let's see, 40 divided by (something) plus (92-79)=13. So 40/x +13=20 → 40/x=7 → x≈5.714. Can I get 5.714 from 79 and 92? Not directly. Hmm.
Alternatively, maybe ( (92 - (79 - (63 -23))) ). Let's compute innermost first: 63-23=40. Then 79-40=39. Then 92-39=53. Not helpful.
Hmm, maybe trying to use multiplication and subtraction. Let's see, 23*(something) minus something else. Let's see, 23* (something) =20 + something else. Let's see, 23*(something) =20 + (92-79). That would be 23x=33 → x≈1.434. Not helpful.
Alternatively, 23*(something) minus (something else)=20. Let's see, 23*(something) - (something else)=20. Let's see, maybe 23*(something) =20 + (something else). Let's see, if I can get something from 63 and 79 and 92. Not sure.
Wait, maybe ( (63 + 23) - (92 -79) ). Let's compute that: 63+23=86, 92-79=13. 86-13=73. Not 20.
Hmm, maybe ( (79 - (63 -23)) ) divided by (something). Let's compute 63-23=40, so 79-40=39. Then 39 divided by (something). To get 20, 39/x=20 → x=1.95. Not helpful.
Alternatively, ( (92 divided by (something)) ) plus (something else). Let's see, 92 divided by (something) plus something else equals 20. Let's see, if I can get denominator from 63 and 23. For example, 63-23=40. Then 92/40=2.3. Then 2.3 + (79 - something). Wait, but I have to use all numbers. Hmm.
Alternatively, 92 divided by (79 - (63 -23)). Let's compute denominator: 63-23=40, so 79-40=39. 92/39≈2.359. Then adding that to 23? 2.359+23≈25.359. Not 20.
Hmm, maybe trying to use all four numbers in a more complex way. Let's see:
Let me think of 20 as (something) minus (something else). Let's see, maybe (63 - (something)) divided by (something else). Let's see, 63 divided by something minus something else. Not sure.
Alternatively, ( (63 * 23) divided by (something) ) minus something else. 63*23=1449. 1449 divided by (something) minus something else equals 20. Let's see, maybe 1449/(something)=20 + something else. Not sure.
Hmm, perhaps I'm overcomplicating. Let me try to see if there's a way to get 20 by combining three numbers first and then using the fourth. Let's see:
Suppose I use 63,23,79 to get a number, then combine with 92. Let's see:
63 +23 +79 =165. 165 -92=73. Not helpful.
63*23=1449. 1449 divided by 79≈18.34. Then 18.34 +92≈110.34. Not helpful.
Hmm, maybe (63 -23)=40. Then 40*(something) divided by something else. Let's see, 40*(something) divided by (something else)=20 → (something)/(something else)=0.5. So maybe (something) is half of (something else). Let's see, can I get two numbers where one is half the other? For example, 79 and 158 (no), 92 and 46 (no). Alternatively, maybe (79 - something) divided by (something else). Let's see, 79- (something)=x, and x divided by something else is 0.5. Not sure.
Alternatively, maybe ( (92 -79) * (something) ) divided by something else. 13*(something)/something else=20. Let's see, 13* (something)=20*(something else). Maybe 13* (something) =20*(something else). Let's see, if I can get something and something else from 63 and 23. Let's see, 63 and 23. Let's see, 13* (something) =20*(something else). Let's see, maybe 13*63 = 819, and 20* something else. 819 divided by 20 is 40.95, which isn't 23. Not helpful.
Hmm, maybe trying to use division between two numbers to get a fraction that can be multiplied or added. Let's see, 23 divided by (something) to get a fraction. Let's see, 23 divided by (something) plus something else equals 20. Let's see, if I can get the denominator from 63 and 79 and 92. For example, 63+79=142. 23/142≈0.162. Then adding 92 gives 92.162, which is way over.
Alternatively, 23 divided by (92-79)=13 → 23/13≈1.769. Then adding 63 gives 64.769. Not helpful.
Hmm, maybe ( (63 / (something)) + (something else) ) equals 20. Let's see, 63 divided by (something) plus something else. Let's see, if I can get denominator from 23 and 79. For example, 23+79=102. 63/102≈0.617. Then adding 92 gives 92.617. Not helpful.
Alternatively, 63 divided by (something) minus something else. Let's see, 63 divided by (something) minus (something else)=20. Let's see, maybe denominator is 23, so 63/23≈2.739. Then 2.739 - (something else)=20 → something else is negative. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, ( (something) - (something else) ) divided by (another something). Let's see, (92 - (79 - (63 -23))) divided by something. Wait, earlier that was 53. 53 divided by something equals 20? Not unless divided by 2.65, which isn't there.
Alternatively, ( (63 - (92 -79)) divided by (something) ). 63-13=50. 50 divided by (something)=20 → something=2.5. Can I get 2.5 from 23? 23 divided by 9.2 is 2.5, but 9.2 isn't there. Hmm.
Wait, maybe ( (23 * (something)) divided by (something else) ). Let's see, 23*(something) divided by (something else)=20. Let's see, if I can get (something) from 63 and (something else) from 79 and 92. Let's see, 23* (something) =20*(something else). Let's see, maybe 23*63=1449. 1449 divided by something else=20 → something else=72.45. Not possible.
Hmm, maybe trying to use all four numbers in a division. Let's see, ( (something) divided by (something else) ) * (something else) + something. Not sure.
Alternatively, maybe ( (92 - (79 - (63 /23))) ). Let's compute step by step. 63/23≈2.739. Then 79-2.739≈76.26. Then 92-76.26≈15.74. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try to think of possible combinations where division gives a whole number. Let's see:
Looking for divisions that result in integers. Let's see:
63 divided by 23 → no.
63 divided by 7 → 9, but 7 isn't there.
63 divided by 3 →21, but 3 isn't there.
23 divided by something → only 23/23=1, but can't reuse.
79 divided by something → 79 is prime, so only 1 and 79.
92 divided by something → 92 divided by 23 is 4. Oh! Wait, 92 divided by 23 is exactly 4. That's a whole number. That's useful!
So 92 /23 =4. Then maybe 4 multiplied by something minus something else equals 20. Let's see:
If I have 4 from 92/23, then I need to use 63 and 79. Let's see:
4 * (something) - something else =20. Let's see, maybe 4*(something) =20 + something else. Let's see, if I can get something from 63 and 79. Let's see, 63-79= -16. So 4*(something) =20 + (-16) → 4x=4 → x=1. But how to get 1 from 63 and 79? Not possible.
Alternatively, maybe 4*(something) minus (something else)=20. Let's see, 4*(something) =20 + something else. Let's see, if I can get something from 63 and 79. Let's see, maybe (63 -79)= -16. Then 4x =20 + (-16) →4x=4 →x=1. Again, same problem.
Alternatively, maybe 4*(something) plus something else =20. Let's see, 4x + y =20. Let's see, if I can get x and y from 63 and 79. Let's see, 63-79= -16. So maybe 4*(something) + (-16)=20 →4x=36 →x=9. How to get 9 from 63 and 79? 63 divided by 7 is 9, but 7 isn't there. Alternatively, 79-70=9, but 70 isn't there. Hmm.
Alternatively, maybe using 63 and 79 in another way. Let's see, 63 divided by (something) plus something else. Wait, but I already used 23 and 92 for the division.
Wait, let's try this approach again. Since 92/23=4, then maybe 4*(something) - (something else)=20. Let's see, the remaining numbers are 63 and 79. Let's see, if I can get (something) from 63 and 79 such that 4*(something) minus the other number equals 20.
Let me denote:
Let’s say the something is (63 -79) =-16. Then 4*(-16) - something else? Not helpful.
Alternatively, (63 +79)=142. 4*142=568. 568 - something else? Not helpful.
Alternatively, maybe (something) is 63 divided by something. Let's see, 63 divided by (something) to get a value. Let's see, 63 divided by (something) plus something else. Wait, but I need to use all numbers. Hmm.
Alternatively, maybe ( (92 /23) * (something) ) - (something else) =20. Let's see, 4*(something) - (something else)=20. The remaining numbers are 63 and 79. Let's see:
If I take 4*63 =252. Then 252 -79=173. Not 20.
Alternatively, 4*79=316. 316-63=253. Not helpful.
Hmm, maybe (something else) is (63 -79)= -16. Then 4*(something) - (-16)=20 →4x +16=20 →4x=4 →x=1. But how to get x=1 from remaining numbers? Not possible.
Alternatively, maybe (something) is (63 /79). Then 4*(63/79) ≈3.34. Then 3.34 - something else=20 → something else is negative. Not helpful.
Hmm, maybe trying another path with the division. Let's see, 92 divided by 23 is 4. Then maybe 4 plus (something) divided by (something else)=20. Let's see, 4 + (something)/(something else)=20 → (something)/(something else)=16. So need to get 16 from 63 and 79. 63-79= -16, but absolute value? Not sure. Alternatively, 79-63=16. Oh! Wait, 79-63=16. So if I can do (79-63)=16, then 4 + (16) =20. Wait, that's exactly it!
Wait, let me check that again. Let's see:
If I do (92 /23) gives 4. Then (79 -63)=16. Then 4 +16=20. But how to combine all four numbers into one equation?
Ah! So the formula would be (92 /23) + (79 -63) =4 +16=20. Yes! That uses all four numbers exactly once. Let me verify:
Numbers used: 92,23,79,63. Each exactly once. Operations: division, subtraction, addition. Parentheses are needed to clarify the order. So the formula is (92 /23) + (79 -63) =20. Perfect!
So the equation is (92 ÷ 23) + (79 − 63) = 20. So the formula should be written as (92/23)+(79-63)=20. Alternatively, with proper parentheses: (92 / 23) + (79 - 63) = 20. That works!
{
"formula": '(92 / 23) + (79 - 63) = 20'
}<|im_end|>
|
[
75,
46,
31,
67
] | 72 |
264
|
{
"formula": '67 + (75 / (46 - 31))'
}
| 5,141 | 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: 75, 46, 31, 67,
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": '67 + (75 / (46 - 31))'
}<|im_end|>
|
[
64,
83,
2,
48
] | 99 |
336
|
{
"formula": '83 - (64 / 2) + 48'
}
| 2,284 | 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, 83, 2, 48,
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": '83 - (64 / 2) + 48'
}<|im_end|>
|
[
88,
42,
27,
91
] | 72 |
353
|
{
"formula": '91 - (88 - (42 + 27))'
}
| 1,880 | 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: 88, 42, 27, 91,
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 - (88 - (42 + 27))'
}<|im_end|>
|
[
39,
1,
55,
77
] | 16 |
372
|
{
"formula": '(39 - 1) - (77 - 55)'
}
| 871 | 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: 39, 1, 55, 77,
target: 16
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 16',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(39 - 1) - (77 - 55)'
}<|im_end|>
|
[
60,
56,
33,
60
] | 23 |
354
|
{
"formula": '(56 - 33) * (60 / 60)'
}
| 1,598 | 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, 56, 33, 60,
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": '(56 - 33) * (60 / 60)'
}<|im_end|>
|
[
84,
15,
58,
52
] | 30 |
356
|
{
"formula": '15 * (52 / (84 - 58))'
}
| 1,557 | 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: 84, 15, 58, 52,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '15 * (52 / (84 - 58))'
}<|im_end|>
|
[
8,
35,
2,
42
] | 65 |
312
|
{
"formula": '((42 + 8) * 2) - 35'
}
| 3,949 | 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, 35, 2, 42,
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": '((42 + 8) * 2) - 35'
}<|im_end|>
|
[
73,
99,
14,
82
] | 76 |
326
|
{
"formula": '73 + 99 - 82 - 14'
}
| 3,295 | 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, 99, 14, 82,
target: 76
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 76',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 + 99 - 82 - 14'
}<|im_end|>
|
[
58,
27,
54,
7
] | 16 |
382
|
{
"formula": '(54 + 27) - (58 + 7)',
}
| 1,326 | 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: 58, 27, 54, 7,
target: 16
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 16',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(54 + 27) - (58 + 7)',
}<|im_end|>
|
[
20,
19,
88,
41
] | 24 |
373
|
{
"formula": '20 + (88 / (41 - 19))'
}
| 1,150 | 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: 20, 19, 88, 41,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '20 + (88 / (41 - 19))'
}<|im_end|>
|
[
21,
60,
87,
88
] | 94 |
284
|
{
"formula": '(87 - 21) + (88 - 60)'
}
| 1,723 | 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, 60, 87, 88,
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": '(87 - 21) + (88 - 60)'
}<|im_end|>
|
[
55,
43,
21,
92
] | 15 |
357
|
{
"formula": '(92 + 21) - (55 + 43)'
}
| 1,850 | 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: 55, 43, 21, 92,
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": '(92 + 21) - (55 + 43)'
}<|im_end|>
|
[
80,
78,
69,
64
] | 37 |
338
|
{
"formula": '69 - (64 / (80 - 78))'
}
| 2,645 | 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: 80, 78, 69, 64,
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": '69 - (64 / (80 - 78))'
}<|im_end|>
|
[
27,
7,
61,
58
] | 63 |
365
|
{
"formula": '(27 / (61 - 58)) * 7'
}
| 1,253 | 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: 27, 7, 61, 58,
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": '(27 / (61 - 58)) * 7'
}<|im_end|>
|
[
91,
47,
2,
65
] | 62 |
142
|
{
"formula": "65 - (47 * 2 - 91) = 62"
}
| 7,978 | 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: 91, 47, 2, 65,
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": "65 - (47 * 2 - 91) = 62"
}<|im_end|>
|
[
26,
19,
42,
45
] | 48 |
351
|
{
"formula": '(26 + 19 + 45) - 42'
}
| 2,682 | 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: 26, 19, 42, 45,
target: 48
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 48',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(26 + 19 + 45) - 42'
}<|im_end|>
|
[
5,
7,
16,
98
] | 11 |
242
|
{
"formula": '98 - (7 + 16 * 5) = 11'
}
| 7,617 | 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: 5, 7, 16, 98,
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": '98 - (7 + 16 * 5) = 11'
}<|im_end|>
|
[
46,
44,
78,
5
] | 23 |
86
|
{
"formula": '46/(78/(44-5))'
}
| 8,955 | 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: 46, 44, 78, 5,
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": '46/(78/(44-5))'
}<|im_end|>
|
[
45,
3,
64,
99
] | 52 |
278
|
{
"formula": '64 - (45 - (99 / 3))',
}
| 5,742 | 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: 45, 3, 64, 99,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '64 - (45 - (99 / 3))',
}<|im_end|>
|
[
9,
18,
5,
23
] | 33 |
397
|
{
"formula": '23 + (18 * 5) / 9',
}
| 4,421 | 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, 18, 5, 23,
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": '23 + (18 * 5) / 9',
}<|im_end|>
|
[
53,
88,
66,
94
] | 63 |
367
|
{
"formula": '(94 - 53) + (88 - 66)'
}
| 1,717 | 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, 88, 66, 94,
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": '(94 - 53) + (88 - 66)'
}<|im_end|>
|
[
41,
12,
2,
30
] | 100 |
395
|
{
"formula": '(41 * 2) + (30 - 12)'
}
| 514 | 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: 41, 12, 2, 30,
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": '(41 * 2) + (30 - 12)'
}<|im_end|>
|
[
27,
19,
87,
55
] | 96 |
371
|
{
"formula": '(55 - 27) + (87 - 19)'
}
| 1,567 | 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: 27, 19, 87, 55,
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": '(55 - 27) + (87 - 19)'
}<|im_end|>
|
[
33,
89,
48,
2
] | 26 |
129
|
{
"formula": '(89 + 33) - (48 * 2)'
}
| 8,998 | 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: 33, 89, 48, 2,
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": '(89 + 33) - (48 * 2)'
}<|im_end|>
|
[
39,
1,
3,
26
] | 14 |
282
|
{
"formula": '(26 - (39 / 3)) + 1'
}
| 2,114 | 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: 39, 1, 3, 26,
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": '(26 - (39 / 3)) + 1'
}<|im_end|>
|
[
97,
21,
17,
39
] | 54 |
381
|
{
"formula": '(97 - 39) - (21 - 17)'
}
| 1,125 | 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, 21, 17, 39,
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": '(97 - 39) - (21 - 17)'
}<|im_end|>
|
[
45,
63,
10,
40
] | 72 |
394
|
{
"formula": "(63 - 45) * (40 / 10)"
}
| 796 | 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: 45, 63, 10, 40,
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": "(63 - 45) * (40 / 10)"
}<|im_end|>
|
[
48,
9,
25,
80
] | 83 |
292
|
{
"formula": '(48/(25-9)) +80'
}
| 5,227 | 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: 48, 9, 25, 80,
target: 83
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 83',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(48/(25-9)) +80'
}<|im_end|>
|
[
67,
65,
71,
28
] | 41 |
393
|
{
"formula": "(71 - 28) - (67 - 65)"
}
| 642 | 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, 65, 71, 28,
target: 41
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 41',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(71 - 28) - (67 - 65)"
}<|im_end|>
|
[
36,
99,
63,
54
] | 54 |
355
|
{
"formula": '(99 - 63) + (54 - 36)'
}
| 2,962 | 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, 99, 63, 54,
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": '(99 - 63) + (54 - 36)'
}<|im_end|>
|
[
10,
26,
77,
11
] | 99 |
366
|
{
"formula": '(26 - 10) * 11 - 77 = 99'
}
| 2,292 | 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, 26, 77, 11,
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": '(26 - 10) * 11 - 77 = 99'
}<|im_end|>
|
[
3,
44,
57,
14
] | 84 |
385
|
{
"formula": '(57 + 44) - (14 + 3)'
}
| 3,120 | 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: 3, 44, 57, 14,
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": '(57 + 44) - (14 + 3)'
}<|im_end|>
|
[
74,
3,
68,
51
] | 11 |
408
|
{
"formula": "(51 / 3) - (74 - 68)"
}
| 450 | 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: 74, 3, 68, 51,
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": "(51 / 3) - (74 - 68)"
}<|im_end|>
|
[
4,
8,
90,
76
] | 79 |
389
|
{
"formula": '90 - (76 / 4) + 8',
}
| 1,282 | 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: 4, 8, 90, 76,
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": '90 - (76 / 4) + 8',
}<|im_end|>
|
[
11,
96,
22,
43
] | 42 |
346
|
{
"formula": '(96 + 11) - (43 + 22)'
}
| 3,603 | 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: 11, 96, 22, 43,
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": '(96 + 11) - (43 + 22)'
}<|im_end|>
|
[
49,
71,
45,
15
] | 14 |
406
|
{
"formula": "(71 - 15) / (49 - 45)"
}
| 1,310 | 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: 49, 71, 45, 15,
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": "(71 - 15) / (49 - 45)"
}<|im_end|>
|
[
84,
69,
10,
99
] | 51 |
360
|
{
"formula": "((84 - 69) * 10) - 99"
}
| 3,137 | 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: 84, 69, 10, 99,
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": "((84 - 69) * 10) - 99"
}<|im_end|>
|
[
89,
60,
73,
12
] | 15 |
400
|
{
"formula": '60 / ((89 - 73) - 12)'
}
| 785 | 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, 60, 73, 12,
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": '60 / ((89 - 73) - 12)'
}<|im_end|>
|
[
8,
67,
80,
98
] | 93 |
345
|
{
"formula": '98 - 80 + 67 + 8'
}
| 3,604 | 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: 8, 67, 80, 98,
target: 93
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 93',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '98 - 80 + 67 + 8'
}<|im_end|>
|
[
45,
8,
58,
17
] | 22 |
398
|
{
"formula": '58 - 45 + 17 - 8'
}
| 2,955 | 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: 45, 8, 58, 17,
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": '58 - 45 + 17 - 8'
}<|im_end|>
|
[
45,
68,
81,
28
] | 86 |
424
|
{
"formula": '81 + 45 - 68 + 28'
}
| 1,732 | 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: 45, 68, 81, 28,
target: 86
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 86',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '81 + 45 - 68 + 28'
}<|im_end|>
|
[
77,
10,
21,
21
] | 67 |
359
|
{
"formula": '77 + 21 - (21 + 10)'
}
| 3,231 | 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, 10, 21, 21,
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": '77 + 21 - (21 + 10)'
}<|im_end|>
|
[
23,
16,
1,
21
] | 28 |
403
|
{
"formula": '21*1 +23 -16',
}
| 2,368 | 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: 23, 16, 1, 21,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '21*1 +23 -16',
}<|im_end|>
|
[
39,
99,
19,
31
] | 10 |
411
|
{
"formula": '99 - 39 - 19 - 31'
}
| 1,578 | 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, 99, 19, 31,
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": '99 - 39 - 19 - 31'
}<|im_end|>
|
[
88,
95,
26,
67
] | 90 |
387
|
{
"formula": '88 + 95 - 67 - 26'
}
| 1,669 | 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: 88, 95, 26, 67,
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 + 95 - 67 - 26'
}<|im_end|>
|
[
80,
3,
33,
93
] | 24 |
12
|
{
"formula": '(33 / 3) + (93 - 80)',
}
| 10,140 | 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: 80, 3, 33, 93,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(33 / 3) + (93 - 80)',
}<|im_end|>
|
[
13,
30,
72,
70
] | 19 |
430
|
{
"formula": "(72 - 70) + (30 - 13)"
}
| 1,452 | 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, 30, 72, 70,
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": "(72 - 70) + (30 - 13)"
}<|im_end|>
|
[
100,
73,
80,
91
] | 20 |
33
|
{
"formula": '(100 * 73) - (80 * 91) = 20'
}
| 11,931 | 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, 73, 80, 91,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(100 * 73) - (80 * 91) = 20'
}<|im_end|>
|
[
100,
2,
22,
84
] | 76 |
426
|
{
"formula": "(100 - (84 - 22)) * 2"
}
| 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: 100, 2, 22, 84,
target: 76
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 76',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(100 - (84 - 22)) * 2"
}<|im_end|>
|
[
18,
7,
82,
88
] | 60 |
213
|
{
"formula": "(88 - 82)*7 + 18"
}
| 1,346 | 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: 18, 7, 82, 88,
target: 60
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 60',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(88 - 82)*7 + 18"
}<|im_end|>
|
[
36,
55,
88,
61
] | 64 |
413
|
{
"formula": '55 + (61 - (88 - 36))'
}
| 997 | 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, 55, 88, 61,
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": '55 + (61 - (88 - 36))'
}<|im_end|>
|
[
55,
7,
27,
77
] | 81 |
276
|
{
"formula": "77 + (55 - 27)/7"
}
| 7,259 | 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: 55, 7, 27, 77,
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": "77 + (55 - 27)/7"
}<|im_end|>
|
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