numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 28
21.7k
| completion_token
int64 9
27.4k
| prompt_token
int64 120
16.4k
| text
stringlengths 658
22.3k
|
|---|---|---|---|---|---|---|
[
38,
42,
14,
25
] | 86 |
1457
|
{
"formula": '(25*(42 - 38)) - 14'
}
| 970 | 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, 42, 14, 25,
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": '(25*(42 - 38)) - 14'
}<|im_end|>
|
[
27,
25,
28,
34
] | 22 |
1385
|
{
"formula": '((27 - 25) * 28) - 34 = 22'
}
| 4,055 | 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, 25, 28, 34,
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": '((27 - 25) * 28) - 34 = 22'
}<|im_end|>
|
[
22,
46,
70,
43
] | 51 |
1466
|
{
"formula": '70 - 43 + 46 - 22'
}
| 1,757 | 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: 22, 46, 70, 43,
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": '70 - 43 + 46 - 22'
}<|im_end|>
|
[
66,
57,
97,
3
] | 85 |
1471
|
{
"formula": '97 - (66 - 57 + 3) = 85'
}
| 1,151 | 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: 66, 57, 97, 3,
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": '97 - (66 - 57 + 3) = 85'
}<|im_end|>
|
[
56,
30,
74,
57
] | 69 |
1468
|
{
"formula": '(30 + 56) - (74 - 57)'
}
| 1,891 | 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: 56, 30, 74, 57,
target: 69
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 69',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(30 + 56) - (74 - 57)'
}<|im_end|>
|
[
52,
74,
3,
18
] | 37 |
1475
|
{
"formula": '74/(3*18-52)',
}
| 1,095 | 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, 74, 3, 18,
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": '74/(3*18-52)',
}<|im_end|>
|
[
33,
2,
26,
29
] | 13 |
1478
|
{
"formula": '(33 / (29 - 26)) + 2'
}
| 856 | 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, 2, 26, 29,
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": '(33 / (29 - 26)) + 2'
}<|im_end|>
|
[
84,
12,
70,
97
] | 95 |
1476
|
To reach the target number 95 using the numbers 84, 12, 70, and 97, we can use the following steps:
1. Start with the numbers 97, 12, and 70 and add them together:
\[
97 + 12 + 70 = 179
\]
2. Subtract 84 from the result:
\[
179 - 84 = 95
\]
This uses all the given numbers exactly once and results in the target number 95.
### Final Answer
{
"formula": "97 + 12 + 70 - 84"
}
| 7,891 | 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, 12, 70, 97,
target: 95
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 95',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
To reach the target number 95 using the numbers 84, 12, 70, and 97, we can use the following steps:
1. Start with the numbers 97, 12, and 70 and add them together:
\[
97 + 12 + 70 = 179
\]
2. Subtract 84 from the result:
\[
179 - 84 = 95
\]
This uses all the given numbers exactly once and results in the target number 95.
### Final Answer
{
"formula": "97 + 12 + 70 - 84"
}<|im_end|>
|
[
82,
73,
77,
32
] | 46 |
1479
|
{
"formula": '(73 - 32) + (82 - 77)'
}
| 1,037 | 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, 73, 77, 32,
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": '(73 - 32) + (82 - 77)'
}<|im_end|>
|
[
8,
73,
68,
40
] | 53 |
1470
|
{
"formula": "73 - (68 - 40 - 8) = 53"
}
| 2,686 | 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, 73, 68, 40,
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 - (68 - 40 - 8) = 53"
}<|im_end|>
|
[
60,
12,
59,
62
] | 50 |
1474
|
{
"formula": '(60 - 59) * (62 - 12)'
}
| 2,394 | 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, 12, 59, 62,
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": '(60 - 59) * (62 - 12)'
}<|im_end|>
|
[
60,
58,
30,
60
] | 29 |
1486
|
{
"formula": '(58 - 30) + (60 / 60)'
}
| 1,385 | 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, 58, 30, 60,
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": '(58 - 30) + (60 / 60)'
}<|im_end|>
|
[
59,
30,
37,
43
] | 64 |
1483
|
{
"formula": "59 + (30 / (43 - 37))",
}
| 3,205 | 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: 59, 30, 37, 43,
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": "59 + (30 / (43 - 37))",
}<|im_end|>
|
[
81,
61,
2,
27
] | 62 |
1487
|
{
"formula": '61 + (81 / 27 - 2)'
}
| 647 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 61, 2, 27,
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": '61 + (81 / 27 - 2)'
}<|im_end|>
|
[
36,
62,
80,
31
] | 29 |
1472
|
) = 80/(31) ≈ 2.58, not helpful. Hmm.
Alternatively, maybe (80 - 36) = 44. Then 62 - 44 = 18. Then 31 - 18 = 13. Not helpful. Hmm.
Wait, let's try another angle. Let's see, 31 is part of the numbers. Maybe 31 plus something equals 29? No, that would require a negative. So subtraction. Let's see, 36 minus (something) equals 29? Then that something is 7. Can I get 7 from 62, 80, 31? 80 - 62 = 18, 31 - 18 = 13. Not 7. Alternatively, 62 divided by something? 62 divided by 8.857 is 7, but that's not an integer. Hmm.
Alternatively, maybe 62 - (something) = 29. Then that something is 33. Can I get 33 from 36, 80, 31? 36 - 3 = 33, but how to get 3? 80 - 77? Not helpful. Alternatively, 31 + 2? But again, how to get 2. Wait, 36 divided by 18 is 2, but again, how to get 18?
Hmm, maybe trying to combine three numbers first. Let's see, 36, 62, 80, 31. Let's see, 80 - 62 = 18. Then 36 - 18 = 18. Then 31 - 18 = 13. Not helpful. Alternatively, 36 + 31 = 67. Then 80 - 67 = 13. Then 62 - 13 = 49. Not helpful.
Alternatively, 80 - 31 = 49. Then 62 - 49 = 13. Then 36 - 13 = 23. Still not.
Hmm, maybe multiplication. Let's see, 36 * (something) divided by something else. Let's see, 36 * (something) to get near 29. Not sure. Alternatively, 62 - (something * something). Let's see, 62 - (36 * something). 36 * 0.916 is 33, but that's not helpful. Hmm.
Wait, maybe (80 - 62) = 18. Then 36 divided by 18 is 2. Then 31 - 2 = 29. Wait, that might work! Let me check:
So, 80 minus 62 is 18. Then 36 divided by that 18 is 2. Then 31 minus that 2 equals 29. Let's see if that uses all numbers once:
Numbers used: 80, 62 (in 80-62), then 36 divided by the result (18), and then 31 minus that. So all four numbers are used once each. Let me write that as an equation:
31 - (36 / (80 - 62)) = ?
Calculating step by step:
80 - 62 = 18
36 / 18 = 2
31 - 2 = 29. Perfect! That works. So the formula would be 31 - (36 / (80 - 62)) = 29. Let me check the parentheses to make sure the order is correct. Yes, the division is done after the subtraction in the denominator. So the formula is correct. Let me confirm all numbers are used once: 31, 36, 80, 62. Yes, each exactly once. Great, that should be the solution.
{
"formula": '31 - (36 / (80 - 62))'
}
| 2,106 | 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, 62, 80, 31,
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
) = 80/(31) ≈ 2.58, not helpful. Hmm.
Alternatively, maybe (80 - 36) = 44. Then 62 - 44 = 18. Then 31 - 18 = 13. Not helpful. Hmm.
Wait, let's try another angle. Let's see, 31 is part of the numbers. Maybe 31 plus something equals 29? No, that would require a negative. So subtraction. Let's see, 36 minus (something) equals 29? Then that something is 7. Can I get 7 from 62, 80, 31? 80 - 62 = 18, 31 - 18 = 13. Not 7. Alternatively, 62 divided by something? 62 divided by 8.857 is 7, but that's not an integer. Hmm.
Alternatively, maybe 62 - (something) = 29. Then that something is 33. Can I get 33 from 36, 80, 31? 36 - 3 = 33, but how to get 3? 80 - 77? Not helpful. Alternatively, 31 + 2? But again, how to get 2. Wait, 36 divided by 18 is 2, but again, how to get 18?
Hmm, maybe trying to combine three numbers first. Let's see, 36, 62, 80, 31. Let's see, 80 - 62 = 18. Then 36 - 18 = 18. Then 31 - 18 = 13. Not helpful. Alternatively, 36 + 31 = 67. Then 80 - 67 = 13. Then 62 - 13 = 49. Not helpful.
Alternatively, 80 - 31 = 49. Then 62 - 49 = 13. Then 36 - 13 = 23. Still not.
Hmm, maybe multiplication. Let's see, 36 * (something) divided by something else. Let's see, 36 * (something) to get near 29. Not sure. Alternatively, 62 - (something * something). Let's see, 62 - (36 * something). 36 * 0.916 is 33, but that's not helpful. Hmm.
Wait, maybe (80 - 62) = 18. Then 36 divided by 18 is 2. Then 31 - 2 = 29. Wait, that might work! Let me check:
So, 80 minus 62 is 18. Then 36 divided by that 18 is 2. Then 31 minus that 2 equals 29. Let's see if that uses all numbers once:
Numbers used: 80, 62 (in 80-62), then 36 divided by the result (18), and then 31 minus that. So all four numbers are used once each. Let me write that as an equation:
31 - (36 / (80 - 62)) = ?
Calculating step by step:
80 - 62 = 18
36 / 18 = 2
31 - 2 = 29. Perfect! That works. So the formula would be 31 - (36 / (80 - 62)) = 29. Let me check the parentheses to make sure the order is correct. Yes, the division is done after the subtraction in the denominator. So the formula is correct. Let me confirm all numbers are used once: 31, 36, 80, 62. Yes, each exactly once. Great, that should be the solution.
{
"formula": '31 - (36 / (80 - 62))'
}<|im_end|>
|
[
56,
75,
97,
60
] | 88 |
1477
|
{
"formula": '(97 - 75) * (60 - 56)'
}
| 2,522 | 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: 56, 75, 97, 60,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(97 - 75) * (60 - 56)'
}<|im_end|>
|
[
63,
19,
31,
34
] | 40 |
1485
|
{
"formula": '(63 / (34 - 31)) + 19'
}
| 1,212 | 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, 19, 31, 34,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(63 / (34 - 31)) + 19'
}<|im_end|>
|
[
74,
91,
82,
15
] | 84 |
1489
|
{
"formula": '82 + 91 - 74 - 15',
}
| 3,916 | 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: 74, 91, 82, 15,
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": '82 + 91 - 74 - 15',
}<|im_end|>
|
[
61,
29,
93,
24
] | 37 |
1481
|
{
"formula": "(93 - 61) + (29 - 24)"
}
| 2,481 | 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: 61, 29, 93, 24,
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": "(93 - 61) + (29 - 24)"
}<|im_end|>
|
[
4,
16,
76,
47
] | 93 |
1495
|
{
"formula": '(4 * 16) + 76 - 47'
}
| 795 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 16, 76, 47,
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": '(4 * 16) + 76 - 47'
}<|im_end|>
|
[
34,
22,
2,
55
] | 10 |
1491
|
{
"formula": '55 - (34 + (22 / 2))',
}
| 1,430 | 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: 34, 22, 2, 55,
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": '55 - (34 + (22 / 2))',
}<|im_end|>
|
[
22,
12,
19,
20
] | 80 |
1499
|
{
"formula": '20 * (12 / (22 - 19))'
}
| 933 | 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: 22, 12, 19, 20,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '20 * (12 / (22 - 19))'
}<|im_end|>
|
[
60,
68,
100,
9
] | 53 |
1427
|
{
"formula": '68 - (100 / (60 / 9))'
}
| 2,868 | 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, 68, 100, 9,
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": '68 - (100 / (60 / 9))'
}<|im_end|>
|
[
3,
30,
48,
15
] | 90 |
1501
|
{
"formula": '48 + 30 + 15 - 3',
}
| 3,819 | 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, 30, 48, 15,
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": '48 + 30 + 15 - 3',
}<|im_end|>
|
[
32,
22,
19,
17
] | 76 |
1492
|
{
"formula": '32 + 22*(19 - 17)'
}
| 2,543 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 22, 19, 17,
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": '32 + 22*(19 - 17)'
}<|im_end|>
|
[
8,
3,
80,
5
] | 33 |
1502
|
{
"formula": "((80 - 5) / 3) + 8"
}
| 1,078 | 121 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 3, 80, 5,
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": "((80 - 5) / 3) + 8"
}<|im_end|>
|
[
2,
33,
55,
54
] | 78 |
1498
|
{
"formula": '55 + 54 - 33 + 2 = 78'
}
| 1,546 | 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, 33, 55, 54,
target: 78
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 78',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '55 + 54 - 33 + 2 = 78'
}<|im_end|>
|
[
42,
80,
63,
67
] | 42 |
1496
|
{
"formula": '(80 + 67) - (63 + 42)'
}
| 2,502 | 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, 80, 63, 67,
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": '(80 + 67) - (63 + 42)'
}<|im_end|>
|
[
23,
19,
3,
40
] | 47 |
1497
|
{
"formula": "40 + 23 - (19 - 3)"
}
| 2,953 | 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, 19, 3, 40,
target: 47
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 47',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "40 + 23 - (19 - 3)"
}<|im_end|>
|
[
100,
20,
8,
98
] | 80 |
1504
|
{
"formula": "(20/(100-98))*8"
}
| 1,651 | 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, 20, 8, 98,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(20/(100-98))*8"
}<|im_end|>
|
[
16,
77,
41,
51
] | 83 |
1508
|
{
"formula": "(16 + 77) - (51 - 41)"
}
| 554 | 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: 16, 77, 41, 51,
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": "(16 + 77) - (51 - 41)"
}<|im_end|>
|
[
83,
14,
81,
36
] | 43 |
1482
|
{
"formula": '36 + (14 / (83 - 81))'
}
| 6,005 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 83, 14, 81, 36,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '36 + (14 / (83 - 81))'
}<|im_end|>
|
[
100,
76,
6,
47
] | 43 |
1500
|
- (100/70) ≈45.57, no.
Alternatively, 76 divided by (something). Let's see, 76 divided by (47 - (100 -6))? Wait, 100-6 is 94, 47-94 is negative. 76 divided by that would be negative, but 43 is positive. Not helpful.
Hmm, maybe (100 - 47) =53, then 53 - (76 -6) =53-70= -17. Not helpful.
Alternatively, 47 +6 =53. Then 100 -53 =47, then subtract 76? 47-76 is negative. Not.
Wait, maybe (76 - (100 -47)) *6? Let's see: 100-47 is 53, 76-53=23, 23*6=138. No.
Hmm, perhaps (47 - (76 - (100 /6)))? Let's compute 100/6 ≈16.666, then 76-16.666≈59.333, then 47-59.333≈-12.333. Not.
Alternatively, maybe (100 / (76 - (47 -6)))? Let's see, 47-6=41, 76-41=35, 100/35≈2.857. Not helpful.
Hmm, maybe I need to think differently. Let's see, target is 43. Let's see if 43 can be formed by subtracting two numbers. Like 76 - 33 =43. How to get 33 from 100,47,6. 47-14=33, but 14 from 100 and 6? 100-86=14, but 86 is 47+39, which isn't helpful. Alternatively, 100 divided by something. 100/ (something) to get 33? Not sure.
Alternatively, 47 - (something) =43. So that something is 4. How to get 4 from 100,76,6. Maybe 76 - (100 -6) =76-94= -18, no. 100 -76=24, 24 divided by 6 is 4. Oh! Wait, that's possible. Let me see:
If I do (100 -76) =24, then 24 divided by 6 is 4. Then 47 minus that 4 would be 43. So putting it all together:
47 - ((100 -76)/6) ?
Let me compute that step by step:
100 -76 =24,
24 divided by 6 is 4,
47 -4 =43. Yes! That works.
So the formula would be 47 - ( (100 - 76) / 6 ) =43.
Let me check if all numbers are used exactly once: 100,76,6,47. Yes, each is used once. The operations are subtraction, division, and another subtraction. Parentheses are used correctly. So that should be the solution.
{
"formula": "47 - ((100 - 76) / 6) = 43"
}
| 1,990 | 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: 100, 76, 6, 47,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
- (100/70) ≈45.57, no.
Alternatively, 76 divided by (something). Let's see, 76 divided by (47 - (100 -6))? Wait, 100-6 is 94, 47-94 is negative. 76 divided by that would be negative, but 43 is positive. Not helpful.
Hmm, maybe (100 - 47) =53, then 53 - (76 -6) =53-70= -17. Not helpful.
Alternatively, 47 +6 =53. Then 100 -53 =47, then subtract 76? 47-76 is negative. Not.
Wait, maybe (76 - (100 -47)) *6? Let's see: 100-47 is 53, 76-53=23, 23*6=138. No.
Hmm, perhaps (47 - (76 - (100 /6)))? Let's compute 100/6 ≈16.666, then 76-16.666≈59.333, then 47-59.333≈-12.333. Not.
Alternatively, maybe (100 / (76 - (47 -6)))? Let's see, 47-6=41, 76-41=35, 100/35≈2.857. Not helpful.
Hmm, maybe I need to think differently. Let's see, target is 43. Let's see if 43 can be formed by subtracting two numbers. Like 76 - 33 =43. How to get 33 from 100,47,6. 47-14=33, but 14 from 100 and 6? 100-86=14, but 86 is 47+39, which isn't helpful. Alternatively, 100 divided by something. 100/ (something) to get 33? Not sure.
Alternatively, 47 - (something) =43. So that something is 4. How to get 4 from 100,76,6. Maybe 76 - (100 -6) =76-94= -18, no. 100 -76=24, 24 divided by 6 is 4. Oh! Wait, that's possible. Let me see:
If I do (100 -76) =24, then 24 divided by 6 is 4. Then 47 minus that 4 would be 43. So putting it all together:
47 - ((100 -76)/6) ?
Let me compute that step by step:
100 -76 =24,
24 divided by 6 is 4,
47 -4 =43. Yes! That works.
So the formula would be 47 - ( (100 - 76) / 6 ) =43.
Let me check if all numbers are used exactly once: 100,76,6,47. Yes, each is used once. The operations are subtraction, division, and another subtraction. Parentheses are used correctly. So that should be the solution.
{
"formula": "47 - ((100 - 76) / 6) = 43"
}<|im_end|>
|
[
56,
64,
81,
79
] | 20 |
1229
|
"formula": '(81 + 79) / (64 - 56)'
}
| 6,736 | 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: 56, 64, 81, 79,
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": '(81 + 79) / (64 - 56)'
}<|im_end|>
|
[
82,
31,
23,
2
] | 37 |
1464
|
{
"formula": '(82 - (31 - 23)) / 2'
}
| 9,143 | 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: 82, 31, 23, 2,
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": '(82 - (31 - 23)) / 2'
}<|im_end|>
|
[
10,
19,
30,
41
] | 18 |
1505
|
{
"formula": "10 + 19 + 30 - 41"
}
| 2,264 | 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, 19, 30, 41,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "10 + 19 + 30 - 41"
}<|im_end|>
|
[
91,
38,
80,
75
] | 58 |
1515
|
{
"formula": "(80 - 75) + (91 - 38)"
}
| 3,785 | 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: 91, 38, 80, 75,
target: 58
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 58',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(80 - 75) + (91 - 38)"
}<|im_end|>
|
[
95,
19,
6,
9
] | 75 |
1510
|
{
"formula": "(9 + 6) * (95 / 19)"
}
| 1,412 | 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: 95, 19, 6, 9,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(9 + 6) * (95 / 19)"
}<|im_end|>
|
[
62,
27,
64,
9
] | 11 |
1199
|
. Plus 9 is ≈10.675. Close but not exact. Not an integer.
Wait, maybe ( (62 - 27) / (64 / 9) ). Let's compute numerator: 62-27=35. Denominator: 64/9≈7.111. 35 divided by that is about 4.92. Not helpful.
Hmm, maybe ( (27 +9) - (64 -62) ). 27+9=36, 64-62=2. 36-2=34. Not 11.
Alternatively, (62 - (27 + 64)) +9. 27+64=91, 62-91= -29 +9= -20. No.
Wait, perhaps ( (64 / (62 - 27)) ) +9. Let's see: 62-27=35. 64/35≈1.828. +9≈10.828. Close again but not exact.
Hmm, maybe I need to use subtraction in a different way. Let's see, 64 - (62 - (27 -9)). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not 11.
Alternatively, (62 - (64 - (27 +9))). Let's see: 27+9=36. 64-36=28. 62-28=34. Still no.
Hmm, maybe ( (62 * 9) / (64 -27) ). Let's compute denominator: 64-27=37. 62*9=558. 558/37 is 15.08. Not helpful.
Alternatively, ( (27 * 9) - (64 +62) ). 27*9=243. 64+62=126. 243-126=117. Not 11.
Hmm, maybe ( (64 - 62) * (27 - (9)) ). Wait, 27-9=18. 64-62=2. 2*18=36. Not helpful.
Wait, perhaps ( (62 + 9) - (64 - 27) ). Let's compute: 62+9=71, 64-27=37. 71-37=34. Still no.
Hmm, maybe I'm missing something. Let me try another angle. Let's see, the target is 11. Maybe 9 + 2 =11. To get 2 from the other numbers. 62-60=2, but how to get 60? 64-4? Not sure. Alternatively, 64-62=2. So if I can do (64-62) +9 =11, but then what about the 27? Since all numbers must be used, perhaps 27 has to be involved in a way that cancels out. Like 27 -27? But that's not allowed. Alternatively, maybe ( (64 -62) +9 ) + (27 -27) but that's using 27 twice. Not allowed.
Alternatively, maybe ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not helpful.
Hmm, perhaps division is needed. Let me think again. Let's see, 27 divided by 9 is 3. Then 62 minus something to get 11. 62 -51=11. How to get 51 from 64 and the remaining numbers? Wait, but if I used 27 and 9 already, then 64 and 62 are left. 64 - (something) =51? 64-13=51. But how to get 13 from 62? Not sure. Alternatively, 62 - (64 -13) but that's not helpful.
Alternatively, maybe (62 / (something)) plus something. Let's see, 62 divided by (something) to get a smaller number. Let's see, 62/(27 - (64 -9)). Wait, 64-9=55, 27-55= -28. 62 divided by -28 is negative. Not helpful.
Hmm, maybe ( (62 + 27) / (64 / 9) ). Let's compute denominator: 64/9≈7.111. 62+27=89. 89 divided by 7.111 is about 12.5. Close to 11 but not exact.
Alternatively, ( (64 * 9) / (62 -27) ). 62-27=35. 64*9=576. 576/35≈16.457. Not helpful.
Hmm, maybe ( (27 + 9) - (64 -62) ). 27+9=36, 64-62=2. 36-2=34. Still no.
Wait, perhaps ( (62 - 27) / (64 / 9) ). 62-27=35. 64/9≈7.111. 35 divided by that is about 4.92. Not helpful.
Hmm, maybe I need to use multiplication and division in a different way. Let's see, 64 divided by 2 is 32. 62 minus 32 is 30. Not helpful. Wait, but how to get 2 from the other numbers. 27-25? Not sure.
Alternatively, ( (62 - (64 / (27 -9))) ). Let's compute denominator: 27-9=18. 64/18≈3.555. 62-3.555≈58.444. Not helpful.
Hmm, maybe ( (27 - (64 / (62 -9))) ). Let's see: 62-9=53. 64/53≈1.207. 27-1.207≈25.79. Not helpful.
This is tricky. Let me try another approach. Let's list all possible pairs and see if any combination can lead to 11.
First, possible pairs:
62 and 27: 62+27=89, 62-27=35, 27-62=-35, 62*27=1674, 62/27≈2.296, 27/62≈0.435.
62 and 64: 62+64=126, 62-64=-2, 64-62=2, 62*64=3968, etc.
62 and 9: similar.
27 and 64: 27+64=91, 27-64=-37, etc.
27 and 9: 27+9=36, 27-9=18, 9-27=-18, 27*9=243, etc.
64 and 9: 64+9=73, 64-9=55, etc.
Hmm, perhaps combining 64-62=2. Then 27 divided by 9 is 3. Then 2+3=5. But need to use all numbers. Wait, but that uses all except one? Wait, 64,62,27,9: all are used in that. Wait, 64-62 is using 64 and 62, then 27/9 uses the other two. So total is (64-62)+(27/9)=2+3=5. But that's 5, not 11. But maybe if we do something else with those numbers.
Alternatively, (64 - (62 - (27/9))). Let's compute 27/9=3. 62-3=59. 64-59=5. Still 5.
Hmm. What if we do ( (62 - (64 - (27 +9))) ). Let's see: 27+9=36. 64-36=28. 62-28=34. Not helpful.
Alternatively, ( (62 + (27 - (64 -9))) ). 64-9=55. 27-55= -28. 62 + (-28)=34. Still no.
Hmm, maybe ( (62 * (27 - (64 /9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not helpful.
Alternatively, ( (64 / ( (62 -27)/9 )) ). Let's see denominator: (62-27)=35. 35/9≈3.888. 64 divided by that is about 16.45. Not helpful.
Hmm, maybe ( ( (62 + 27) - 64 ) /9 ). Let's compute numerator: 62+27=89-64=25. 25/9≈2.77. Not helpful.
Alternatively, ( (62 -27) + (64 /9) ). 62-27=35. 64/9≈7.11. 35+7.11≈42.11. Not.
Hmm, perhaps ( (64 - 27) - (62 /9) ). 64-27=37. 62/9≈6.888. 37-6.888≈30.11. Not.
Hmm, maybe ( (27 * (64 -62)) ) /9. Let's see: 64-62=2. 27*2=54. 54/9=6. Not 11.
Hmm, what if ( (62 + 9) - (64 - (27)) ). Wait, 64-27=37. 62+9=71. 71-37=34. Still no.
Wait, maybe ( (62 - (27 +9)) ) +64. Let's see: 27+9=36. 62-36=26. 26+64=90. Not.
Hmm, perhaps ( (64 - (62 -27)) ) /9. Let's compute: 62-27=35. 64-35=29. 29/9≈3.22. Not.
Hmm, maybe ( (27 + (64 -62)) * (9 / something)). Wait, 64-62=2. 27+2=29. 29*(9/x). Not sure.
Alternatively, ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Still no.
Hmm, maybe I need to think of fractions. Let's see, perhaps ( (62 / (something)) + something else. Let's see, 62 divided by (something) to get a fraction. For example, 62/(64- (27-9)). Let's compute denominator: 27-9=18. 64-18=46. 62/46≈1.347. Then adding or subtracting?
Alternatively, ( (62 / (64 - (27 -9))) ) +9. Let's see denominator: 64-18=46. 62/46≈1.347 +9≈10.347. Close to 10.35, but not 11.
Hmm, maybe ( (62 + 27) / ( (64 /9) ) ). 62+27=89. 64/9≈7.111. 89/7.111≈12.5. Close to 12.5. Not 11.
Hmm, perhaps ( (64 * 9) - (62 *27) ) divided by something? That's probably too big.
Wait, maybe ( (62 - (64 - (27 +9))) ). Wait, that's 27+9=36, 64-36=28, 62-28=34. Still no.
Hmm, maybe ( ( (62 - 27) * (64 /9) ) ). Let's see: 62-27=35. 64/9≈7.111. 35*7.111≈249. Not helpful.
Hmm, perhaps ( (64 - 62) * (27 - (9)) ). 27-9=18. 2*18=36. Not.
Hmm, maybe ( (27 - (64 / (62 -9))) ). Let's compute denominator: 62-9=53. 64/53≈1.207. 27-1.207≈25.79. Not.
Hmm, maybe ( ( (62 + 9) - 27 ) / (64 / something) ). Not sure.
Wait, perhaps ( (62 - (27 + 9)) ) + (64 / something). Let's see: 27+9=36. 62-36=26. 26 + (64/x). To get 11, 64/x would have to be negative? Not sure.
Hmm, maybe I'm missing a combination where subtraction is used in a clever way. Let's think of 11 as 9 + 2, and then see if the other numbers can be arranged to give zero or something. Like (something) - (something else) =0, but that might not help.
Alternatively, maybe ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, perhaps ( (62 - (64 - (27 -9))) ). 27-9=18. 64-18=46. 62-46=16. Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). That's going to be a big negative number. Not helpful.
Hmm, maybe ( (64 + 27) - (62 +9) ). Let's see: 64+27=91, 62+9=71. 91-71=20. Not.
Hmm, perhaps ( (62 * (27 - (64 /9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not.
Hmm, maybe ( ( (62 + 27) - (64 +9) ) ). 62+27=89, 64+9=73. 89-73=16. Not.
Hmm, maybe ( (64 - 27) - (62 -9) ). 64-27=37, 62-9=53. 37-53= -16. Not.
Hmm, perhaps ( (62 / (27 - (64 -9))) ). Let's compute denominator: 64-9=55. 27-55= -28. 62 divided by -28≈-2.214. Not helpful.
Hmm, maybe ( ( (62 - 64) * (27 -9) ) + something ). 62-64= -2. 27-9=18. -2*18= -36. Then adding 9 gives -27, adding 62 gives 35. Not.
Hmm, this is frustrating. Maybe I need to try a different approach. Let's see, perhaps using division to get a fraction that can be combined with others. Let's see:
Suppose I do 62 divided by (something) to get a smaller number. Let's see, 62 divided by (64 - (27 -9)). Let's compute denominator: 27-9=18. 64-18=46. 62/46≈1.347. Then adding 27? 1.347+27≈28.347. Not helpful.
Alternatively, ( (62 / (64 -27)) ) +9. 64-27=37. 62/37≈1.675 +9≈10.675. Close to 10.68, but not 11. Hmm, maybe that's the closest I can get? But the problem requires an exact answer. So that's not it.
Wait, maybe ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, perhaps ( (27 + (64 / (62 -9))) ). 62-9=53. 64/53≈1.207. 27+1.207≈28.207. Not.
Hmm, maybe ( ( (62 - 27) / (64 /9) ) ). 62-27=35. 64/9≈7.111. 35/7.111≈4.92. Not.
Hmm, perhaps ( (64 / ( (62 -27)/9 )) ). Let's compute denominator: (62-27)=35. 35/9≈3.888. 64 divided by that is about 16.45. Not.
Hmm, maybe ( ( (62 + 9) * (27 -64) ) / something ). 27-64= -37. 62+9=71. 71*-37= -2627. Divided by something? Not helpful.
Hmm, perhaps ( (62 - (27 + (64 /9))) ). Let's compute 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, maybe ( ( (64 - 62) * (27) ) /9 ). 64-62=2. 2*27=54. 54/9=6. Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). That's going to be a huge negative number. Not helpful.
Hmm, perhaps ( ( (62 + 27) - (64 +9) ) ). 62+27=89, 64+9=73. 89-73=16. Not.
Hmm, maybe ( ( (64 * 9) - (62 *27) ) / something ). 64*9=576, 62*27=1674. 576-1674= -1098. Divided by something? Not helpful.
Hmm, maybe I need to think of a different combination. Let's see, perhaps ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, maybe ( ( (62 - 27) - (64 -9) ) ). 62-27=35. 64-9=55. 35-55= -20. Not.
Hmm, perhaps ( ( (64 - 27) - (62 -9) ) ). 64-27=37. 62-9=53. 37-53= -16. Not.
Hmm, maybe ( ( (62 * (64 -27)) /9 ) - something ). Let's compute 64-27=37. 62*37=2294. 2294/9≈254.888. Subtract something? Not helpful.
Hmm, maybe ( ( (62 + 64) - (27 +9) ) / something ). 62+64=126. 27+9=36. 126-36=90. 90 divided by something? 90/8.18≈10.9, but not sure.
Wait, 90 divided by 8.18 is not exact. Hmm.
Alternatively, ( (62 +64 +27 +9) ) divided by something. Total is 162. 162 divided by 14.727≈11. But that's not exact.
Hmm, maybe ( ( (62 + 27) * (64 -9) ) / something ). 62+27=89. 64-9=55. 89*55=4895. Divided by something? Not helpful.
Hmm, perhaps I'm missing a simple combination. Let me try again.
Wait, the target is 11. Let me think of 11 as 9 + 2. To get 2 from 62 and 64. 64-62=2. So if I can do (64-62) +9 =11, but then what about the 27? Since all numbers must be used, perhaps 27 has to be subtracted or added in a way that cancels out. Like ( (64-62) +9 ) + (27 -27) but that's not allowed. Alternatively, maybe ( (64 -62) + (27 - (something with 9)) ). Let's see:
Wait, 27 - (something with 9). Let's say 27 -9=18. Then (64-62)=2. So 2 +18=20. Not 11. Hmm.
Alternatively, ( (64 -62) +9 ) - (27 - something). Wait, but how?
Alternatively, ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, maybe ( ( (62 - (64 -27)) ) /9 ). Let's compute 64-27=37. 62-37=25. 25/9≈2.77. Not.
Hmm, perhaps ( ( (27 - (64 -62)) ) * (9 / something) ). 64-62=2. 27-2=25. 25*(9/x). Not sure.
Hmm, maybe ( ( (62 - 27) - (64 -9) ) ). 62-27=35. 64-9=55. 35-55= -20. Not.
Hmm, maybe ( ( (64 * 2) - (62 -9) ) / something ). 64*2=128. 62-9=53. 128-53=75. 75 divided by something? 75/6.8≈11. But 6.8 isn't a number here. Wait, but 27 is available. 75 divided by (27 - something). Not sure.
Alternatively, ( (64 *2) - (62 -9) ) divided by (27 - something). Let's see: 64*2=128. 62-9=53. 128-53=75. 75 divided by (27 - (something)). To get 11, 75/ (something)=11 → something≈6.81. But 27- something=6.81 → something≈20.19. Not possible with integers.
Hmm, maybe ( ( (62 + 9) - (64 -27) ) ). 62+9=71. 64-27=37. 71-37=34. Not.
Hmm, perhaps ( ( (62 * (64 -27 -9)) ) / something ). Let's see: 64-27-9=28. 62*28=1736. Divided by something? Not helpful.
Hmm, maybe ( ( (64 - (62 / (27 -9))) ) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, I'm really stuck here. Maybe I need to try a different approach. Let me list all possible permutations of the numbers and operations. Since there are four numbers, the possible operations would involve three operations. Let's see:
Possible formulas could be:
(a + b) * c - d
(a - b) * (c + d)
(a / b) + (c - d)
etc.
Let me try some of these.
First, let's try (62 - (64 - (27 +9))). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
How about ( (62 + 27) - (64 +9) ) = 89-73=16. Not.
( (64 - 62) * (27 -9) ) = 2*18=36. Not.
( (62 / (27 - (64/9))) ). Let's compute denominator: 64/9≈7.111. 27-7.111≈19.889. 62 divided by that is ≈3.12. Not.
Hmm, maybe ( ( (62 - 27) / (64 /9) ) ). 62-27=35. 64/9≈7.111. 35/7.111≈4.92. Not.
Hmm, perhaps ( ( (64 * 9) - (62 *27) ) / something ). That's a big negative number. Not.
Hmm, maybe ( ( (62 + 9) * (27 -64) ) / something ). 27-64= -37. 62+9=71. 71*-37= -2627. Divided by something? Not.
Hmm, perhaps ( ( (64 - 27) * (62 -9) ) / something ). 64-27=37. 62-9=53. 37*53=1961. Divided by something? Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). 62*9=558. 64*27=1728. 558-1728= -1170. Divided by something? Not.
Hmm, perhaps ( ( (62 + 27 +9) -64 ). 62+27+9=98. 98-64=34. Not.
Hmm, maybe ( ( (64 + 27) - (62 +9) ) ). 64+27=91. 62+9=71. 91-71=20. Not.
Hmm, maybe ( ( (62 - (64 -27)) ) /9 ). 64-27=37. 62-37=25. 25/9≈2.77. Not.
Hmm, perhaps ( ( (27 +9) - (64 -62) ) ). 27+9=36. 64-62=2. 36-2=34. Not.
Hmm, maybe ( ( (62 * (27 - (64/9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not.
Hmm, perhaps ( ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, maybe ( ( (62 - (27 + (64/9))) ). 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, perhaps ( ( (64 / (62 -27)) ) +9 ). 62-27=35. 64/35≈1.828. +9≈10.828. Close to 10.83, but not 11.
Hmm, maybe ( ( (62 + (27 - (64/9))) ). 64/9≈7.111. 27-7.111≈19.889. 62+19.889≈81.889. Not.
Hmm, perhaps ( ( (64 - (62 - (27/9))) ). Let's compute 27/9=3. 62-3=59. 64-59=5. Not.
Hmm, maybe ( ( (62 - (64 - (27/9))) ). 27/9=3. 64-3=61. 62-61=1. Not.
Hmm, maybe ( ( (27 - (64 - (62/9))) ). Let's compute 62/9≈6.888. 64-6.888≈57.111. 27-57.111≈-30.111. Not.
Hmm, perhaps ( ( (62 * (64 - (27 +9))) ). 27+9=36. 64-36=28. 62*28=1736. Not.
Hmm, maybe ( ( (64 - (62 -27)) ) * (9 / something) ). 62-27=35. 64-35=29. 29*(9/x). Not.
Hmm, perhaps ( ( (62 + 27) - (64 -9) ) ). 62+27=89. 64-9=55. 89-55=34. Not.
Hmm, maybe ( ( (64 * (62 -27)) /9 ) - something ). 62-27=35. 64*35=2240. 2240/9≈248.888. Subtract something? Not.
Hmm, perhaps ( ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, maybe ( ( (27 * (64 -62)) ) /9 ). 64-62=2. 27*2=54. 54/9=6. Not.
Hmm, perhaps ( ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, maybe ( ( (62 - (27 - (64/9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62-19.889≈42.111. Not.
Hmm, perhaps ( ( (64 / (27 - (62/9))) ). Let's compute denominator: 62/9≈6.888. 27-6.888≈20.111. 64 divided by that≈3.18. Not.
Hmm, maybe ( ( (62 / ( (64 -27)/9 )) ). Let's compute denominator: (64-27)=37. 37/9≈4.111. 62 divided by that≈15.08. Not.
Hmm, perhaps ( ( ( (62 + 27) *9 ) /64 ). Let's compute numerator: 89*9=801. 801/64≈12.515. Close to 12.5, but not 11.
Hmm, maybe ( ( (62 *9) - (64 *27) ) / something ). 62*9=558. 64*27=1728. 558-1728= -1170. Divided by something? Not.
Hmm, perhaps ( ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, maybe ( ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, perhaps ( ( (27 +9) - (64 -62) ) ). 27+9=36. 64-62=2. 36-2=34. Not.
Hmm, maybe ( ( (62 - (64 - (27/9))) ). Let's compute 27/9=3. 64-3=61. 62-61=1. Not.
Hmm, perhaps ( ( (64 - (62 - (27/9))) ). Let's compute 27/9=3. 62-3=59. 64-59=5. Not.
Hmm, maybe ( ( (62 - (27 + (64/9))) ). Let's compute 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, perhaps ( ( (64 * (27 -9)) /62 ). Let's compute 27-9=18. 64*18=1152. 1152/62≈18.58. Not.
Hmm, maybe ( ( (62 + (64 -27)) ) /9 ). 64-27=37. 62+37=99. 99/9=11. Oh! Wait, that's exactly 11!
Wait, let me check that again. Let's compute step by step:
First, compute 64 -27 = 37.
Then add that to 62: 62 +37 = 99.
Then divide by 9: 99 /9 =11.
Yes! That works. So the formula is (62 + (64 -27)) /9 =11.
Let me confirm all numbers are used exactly once:
62 is used, 64 is used, 27 is used, and 9 is used. Yes, each exactly once. The operations are subtraction, addition, and division. Parentheses are used to group the subtraction first.
So the formula is (62 + (64 -27)) /9 =11.
Yes! That's it.
{
"formula": '(62 + (64 - 27)) / 9'
}
| 10,143 | 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: 62, 27, 64, 9,
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
. Plus 9 is ≈10.675. Close but not exact. Not an integer.
Wait, maybe ( (62 - 27) / (64 / 9) ). Let's compute numerator: 62-27=35. Denominator: 64/9≈7.111. 35 divided by that is about 4.92. Not helpful.
Hmm, maybe ( (27 +9) - (64 -62) ). 27+9=36, 64-62=2. 36-2=34. Not 11.
Alternatively, (62 - (27 + 64)) +9. 27+64=91, 62-91= -29 +9= -20. No.
Wait, perhaps ( (64 / (62 - 27)) ) +9. Let's see: 62-27=35. 64/35≈1.828. +9≈10.828. Close again but not exact.
Hmm, maybe I need to use subtraction in a different way. Let's see, 64 - (62 - (27 -9)). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not 11.
Alternatively, (62 - (64 - (27 +9))). Let's see: 27+9=36. 64-36=28. 62-28=34. Still no.
Hmm, maybe ( (62 * 9) / (64 -27) ). Let's compute denominator: 64-27=37. 62*9=558. 558/37 is 15.08. Not helpful.
Alternatively, ( (27 * 9) - (64 +62) ). 27*9=243. 64+62=126. 243-126=117. Not 11.
Hmm, maybe ( (64 - 62) * (27 - (9)) ). Wait, 27-9=18. 64-62=2. 2*18=36. Not helpful.
Wait, perhaps ( (62 + 9) - (64 - 27) ). Let's compute: 62+9=71, 64-27=37. 71-37=34. Still no.
Hmm, maybe I'm missing something. Let me try another angle. Let's see, the target is 11. Maybe 9 + 2 =11. To get 2 from the other numbers. 62-60=2, but how to get 60? 64-4? Not sure. Alternatively, 64-62=2. So if I can do (64-62) +9 =11, but then what about the 27? Since all numbers must be used, perhaps 27 has to be involved in a way that cancels out. Like 27 -27? But that's not allowed. Alternatively, maybe ( (64 -62) +9 ) + (27 -27) but that's using 27 twice. Not allowed.
Alternatively, maybe ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not helpful.
Hmm, perhaps division is needed. Let me think again. Let's see, 27 divided by 9 is 3. Then 62 minus something to get 11. 62 -51=11. How to get 51 from 64 and the remaining numbers? Wait, but if I used 27 and 9 already, then 64 and 62 are left. 64 - (something) =51? 64-13=51. But how to get 13 from 62? Not sure. Alternatively, 62 - (64 -13) but that's not helpful.
Alternatively, maybe (62 / (something)) plus something. Let's see, 62 divided by (something) to get a smaller number. Let's see, 62/(27 - (64 -9)). Wait, 64-9=55, 27-55= -28. 62 divided by -28 is negative. Not helpful.
Hmm, maybe ( (62 + 27) / (64 / 9) ). Let's compute denominator: 64/9≈7.111. 62+27=89. 89 divided by 7.111 is about 12.5. Close to 11 but not exact.
Alternatively, ( (64 * 9) / (62 -27) ). 62-27=35. 64*9=576. 576/35≈16.457. Not helpful.
Hmm, maybe ( (27 + 9) - (64 -62) ). 27+9=36, 64-62=2. 36-2=34. Still no.
Wait, perhaps ( (62 - 27) / (64 / 9) ). 62-27=35. 64/9≈7.111. 35 divided by that is about 4.92. Not helpful.
Hmm, maybe I need to use multiplication and division in a different way. Let's see, 64 divided by 2 is 32. 62 minus 32 is 30. Not helpful. Wait, but how to get 2 from the other numbers. 27-25? Not sure.
Alternatively, ( (62 - (64 / (27 -9))) ). Let's compute denominator: 27-9=18. 64/18≈3.555. 62-3.555≈58.444. Not helpful.
Hmm, maybe ( (27 - (64 / (62 -9))) ). Let's see: 62-9=53. 64/53≈1.207. 27-1.207≈25.79. Not helpful.
This is tricky. Let me try another approach. Let's list all possible pairs and see if any combination can lead to 11.
First, possible pairs:
62 and 27: 62+27=89, 62-27=35, 27-62=-35, 62*27=1674, 62/27≈2.296, 27/62≈0.435.
62 and 64: 62+64=126, 62-64=-2, 64-62=2, 62*64=3968, etc.
62 and 9: similar.
27 and 64: 27+64=91, 27-64=-37, etc.
27 and 9: 27+9=36, 27-9=18, 9-27=-18, 27*9=243, etc.
64 and 9: 64+9=73, 64-9=55, etc.
Hmm, perhaps combining 64-62=2. Then 27 divided by 9 is 3. Then 2+3=5. But need to use all numbers. Wait, but that uses all except one? Wait, 64,62,27,9: all are used in that. Wait, 64-62 is using 64 and 62, then 27/9 uses the other two. So total is (64-62)+(27/9)=2+3=5. But that's 5, not 11. But maybe if we do something else with those numbers.
Alternatively, (64 - (62 - (27/9))). Let's compute 27/9=3. 62-3=59. 64-59=5. Still 5.
Hmm. What if we do ( (62 - (64 - (27 +9))) ). Let's see: 27+9=36. 64-36=28. 62-28=34. Not helpful.
Alternatively, ( (62 + (27 - (64 -9))) ). 64-9=55. 27-55= -28. 62 + (-28)=34. Still no.
Hmm, maybe ( (62 * (27 - (64 /9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not helpful.
Alternatively, ( (64 / ( (62 -27)/9 )) ). Let's see denominator: (62-27)=35. 35/9≈3.888. 64 divided by that is about 16.45. Not helpful.
Hmm, maybe ( ( (62 + 27) - 64 ) /9 ). Let's compute numerator: 62+27=89-64=25. 25/9≈2.77. Not helpful.
Alternatively, ( (62 -27) + (64 /9) ). 62-27=35. 64/9≈7.11. 35+7.11≈42.11. Not.
Hmm, perhaps ( (64 - 27) - (62 /9) ). 64-27=37. 62/9≈6.888. 37-6.888≈30.11. Not.
Hmm, maybe ( (27 * (64 -62)) ) /9. Let's see: 64-62=2. 27*2=54. 54/9=6. Not 11.
Hmm, what if ( (62 + 9) - (64 - (27)) ). Wait, 64-27=37. 62+9=71. 71-37=34. Still no.
Wait, maybe ( (62 - (27 +9)) ) +64. Let's see: 27+9=36. 62-36=26. 26+64=90. Not.
Hmm, perhaps ( (64 - (62 -27)) ) /9. Let's compute: 62-27=35. 64-35=29. 29/9≈3.22. Not.
Hmm, maybe ( (27 + (64 -62)) * (9 / something)). Wait, 64-62=2. 27+2=29. 29*(9/x). Not sure.
Alternatively, ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Still no.
Hmm, maybe I need to think of fractions. Let's see, perhaps ( (62 / (something)) + something else. Let's see, 62 divided by (something) to get a fraction. For example, 62/(64- (27-9)). Let's compute denominator: 27-9=18. 64-18=46. 62/46≈1.347. Then adding or subtracting?
Alternatively, ( (62 / (64 - (27 -9))) ) +9. Let's see denominator: 64-18=46. 62/46≈1.347 +9≈10.347. Close to 10.35, but not 11.
Hmm, maybe ( (62 + 27) / ( (64 /9) ) ). 62+27=89. 64/9≈7.111. 89/7.111≈12.5. Close to 12.5. Not 11.
Hmm, perhaps ( (64 * 9) - (62 *27) ) divided by something? That's probably too big.
Wait, maybe ( (62 - (64 - (27 +9))) ). Wait, that's 27+9=36, 64-36=28, 62-28=34. Still no.
Hmm, maybe ( ( (62 - 27) * (64 /9) ) ). Let's see: 62-27=35. 64/9≈7.111. 35*7.111≈249. Not helpful.
Hmm, perhaps ( (64 - 62) * (27 - (9)) ). 27-9=18. 2*18=36. Not.
Hmm, maybe ( (27 - (64 / (62 -9))) ). Let's compute denominator: 62-9=53. 64/53≈1.207. 27-1.207≈25.79. Not.
Hmm, maybe ( ( (62 + 9) - 27 ) / (64 / something) ). Not sure.
Wait, perhaps ( (62 - (27 + 9)) ) + (64 / something). Let's see: 27+9=36. 62-36=26. 26 + (64/x). To get 11, 64/x would have to be negative? Not sure.
Hmm, maybe I'm missing a combination where subtraction is used in a clever way. Let's think of 11 as 9 + 2, and then see if the other numbers can be arranged to give zero or something. Like (something) - (something else) =0, but that might not help.
Alternatively, maybe ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, perhaps ( (62 - (64 - (27 -9))) ). 27-9=18. 64-18=46. 62-46=16. Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). That's going to be a big negative number. Not helpful.
Hmm, maybe ( (64 + 27) - (62 +9) ). Let's see: 64+27=91, 62+9=71. 91-71=20. Not.
Hmm, perhaps ( (62 * (27 - (64 /9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not.
Hmm, maybe ( ( (62 + 27) - (64 +9) ) ). 62+27=89, 64+9=73. 89-73=16. Not.
Hmm, maybe ( (64 - 27) - (62 -9) ). 64-27=37, 62-9=53. 37-53= -16. Not.
Hmm, perhaps ( (62 / (27 - (64 -9))) ). Let's compute denominator: 64-9=55. 27-55= -28. 62 divided by -28≈-2.214. Not helpful.
Hmm, maybe ( ( (62 - 64) * (27 -9) ) + something ). 62-64= -2. 27-9=18. -2*18= -36. Then adding 9 gives -27, adding 62 gives 35. Not.
Hmm, this is frustrating. Maybe I need to try a different approach. Let's see, perhaps using division to get a fraction that can be combined with others. Let's see:
Suppose I do 62 divided by (something) to get a smaller number. Let's see, 62 divided by (64 - (27 -9)). Let's compute denominator: 27-9=18. 64-18=46. 62/46≈1.347. Then adding 27? 1.347+27≈28.347. Not helpful.
Alternatively, ( (62 / (64 -27)) ) +9. 64-27=37. 62/37≈1.675 +9≈10.675. Close to 10.68, but not 11. Hmm, maybe that's the closest I can get? But the problem requires an exact answer. So that's not it.
Wait, maybe ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, perhaps ( (27 + (64 / (62 -9))) ). 62-9=53. 64/53≈1.207. 27+1.207≈28.207. Not.
Hmm, maybe ( ( (62 - 27) / (64 /9) ) ). 62-27=35. 64/9≈7.111. 35/7.111≈4.92. Not.
Hmm, perhaps ( (64 / ( (62 -27)/9 )) ). Let's compute denominator: (62-27)=35. 35/9≈3.888. 64 divided by that is about 16.45. Not.
Hmm, maybe ( ( (62 + 9) * (27 -64) ) / something ). 27-64= -37. 62+9=71. 71*-37= -2627. Divided by something? Not helpful.
Hmm, perhaps ( (62 - (27 + (64 /9))) ). Let's compute 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, maybe ( ( (64 - 62) * (27) ) /9 ). 64-62=2. 2*27=54. 54/9=6. Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). That's going to be a huge negative number. Not helpful.
Hmm, perhaps ( ( (62 + 27) - (64 +9) ) ). 62+27=89, 64+9=73. 89-73=16. Not.
Hmm, maybe ( ( (64 * 9) - (62 *27) ) / something ). 64*9=576, 62*27=1674. 576-1674= -1098. Divided by something? Not helpful.
Hmm, maybe I need to think of a different combination. Let's see, perhaps ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, maybe ( ( (62 - 27) - (64 -9) ) ). 62-27=35. 64-9=55. 35-55= -20. Not.
Hmm, perhaps ( ( (64 - 27) - (62 -9) ) ). 64-27=37. 62-9=53. 37-53= -16. Not.
Hmm, maybe ( ( (62 * (64 -27)) /9 ) - something ). Let's compute 64-27=37. 62*37=2294. 2294/9≈254.888. Subtract something? Not helpful.
Hmm, maybe ( ( (62 + 64) - (27 +9) ) / something ). 62+64=126. 27+9=36. 126-36=90. 90 divided by something? 90/8.18≈10.9, but not sure.
Wait, 90 divided by 8.18 is not exact. Hmm.
Alternatively, ( (62 +64 +27 +9) ) divided by something. Total is 162. 162 divided by 14.727≈11. But that's not exact.
Hmm, maybe ( ( (62 + 27) * (64 -9) ) / something ). 62+27=89. 64-9=55. 89*55=4895. Divided by something? Not helpful.
Hmm, perhaps I'm missing a simple combination. Let me try again.
Wait, the target is 11. Let me think of 11 as 9 + 2. To get 2 from 62 and 64. 64-62=2. So if I can do (64-62) +9 =11, but then what about the 27? Since all numbers must be used, perhaps 27 has to be subtracted or added in a way that cancels out. Like ( (64-62) +9 ) + (27 -27) but that's not allowed. Alternatively, maybe ( (64 -62) + (27 - (something with 9)) ). Let's see:
Wait, 27 - (something with 9). Let's say 27 -9=18. Then (64-62)=2. So 2 +18=20. Not 11. Hmm.
Alternatively, ( (64 -62) +9 ) - (27 - something). Wait, but how?
Alternatively, ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, maybe ( ( (62 - (64 -27)) ) /9 ). Let's compute 64-27=37. 62-37=25. 25/9≈2.77. Not.
Hmm, perhaps ( ( (27 - (64 -62)) ) * (9 / something) ). 64-62=2. 27-2=25. 25*(9/x). Not sure.
Hmm, maybe ( ( (62 - 27) - (64 -9) ) ). 62-27=35. 64-9=55. 35-55= -20. Not.
Hmm, maybe ( ( (64 * 2) - (62 -9) ) / something ). 64*2=128. 62-9=53. 128-53=75. 75 divided by something? 75/6.8≈11. But 6.8 isn't a number here. Wait, but 27 is available. 75 divided by (27 - something). Not sure.
Alternatively, ( (64 *2) - (62 -9) ) divided by (27 - something). Let's see: 64*2=128. 62-9=53. 128-53=75. 75 divided by (27 - (something)). To get 11, 75/ (something)=11 → something≈6.81. But 27- something=6.81 → something≈20.19. Not possible with integers.
Hmm, maybe ( ( (62 + 9) - (64 -27) ) ). 62+9=71. 64-27=37. 71-37=34. Not.
Hmm, perhaps ( ( (62 * (64 -27 -9)) ) / something ). Let's see: 64-27-9=28. 62*28=1736. Divided by something? Not helpful.
Hmm, maybe ( ( (64 - (62 / (27 -9))) ) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, I'm really stuck here. Maybe I need to try a different approach. Let me list all possible permutations of the numbers and operations. Since there are four numbers, the possible operations would involve three operations. Let's see:
Possible formulas could be:
(a + b) * c - d
(a - b) * (c + d)
(a / b) + (c - d)
etc.
Let me try some of these.
First, let's try (62 - (64 - (27 +9))). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
How about ( (62 + 27) - (64 +9) ) = 89-73=16. Not.
( (64 - 62) * (27 -9) ) = 2*18=36. Not.
( (62 / (27 - (64/9))) ). Let's compute denominator: 64/9≈7.111. 27-7.111≈19.889. 62 divided by that is ≈3.12. Not.
Hmm, maybe ( ( (62 - 27) / (64 /9) ) ). 62-27=35. 64/9≈7.111. 35/7.111≈4.92. Not.
Hmm, perhaps ( ( (64 * 9) - (62 *27) ) / something ). That's a big negative number. Not.
Hmm, maybe ( ( (62 + 9) * (27 -64) ) / something ). 27-64= -37. 62+9=71. 71*-37= -2627. Divided by something? Not.
Hmm, perhaps ( ( (64 - 27) * (62 -9) ) / something ). 64-27=37. 62-9=53. 37*53=1961. Divided by something? Not.
Hmm, maybe ( ( (62 * 9) - (64 *27) ) / something ). 62*9=558. 64*27=1728. 558-1728= -1170. Divided by something? Not.
Hmm, perhaps ( ( (62 + 27 +9) -64 ). 62+27+9=98. 98-64=34. Not.
Hmm, maybe ( ( (64 + 27) - (62 +9) ) ). 64+27=91. 62+9=71. 91-71=20. Not.
Hmm, maybe ( ( (62 - (64 -27)) ) /9 ). 64-27=37. 62-37=25. 25/9≈2.77. Not.
Hmm, perhaps ( ( (27 +9) - (64 -62) ) ). 27+9=36. 64-62=2. 36-2=34. Not.
Hmm, maybe ( ( (62 * (27 - (64/9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62*19.889≈1233. Not.
Hmm, perhaps ( ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, maybe ( ( (62 - (27 + (64/9))) ). 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, perhaps ( ( (64 / (62 -27)) ) +9 ). 62-27=35. 64/35≈1.828. +9≈10.828. Close to 10.83, but not 11.
Hmm, maybe ( ( (62 + (27 - (64/9))) ). 64/9≈7.111. 27-7.111≈19.889. 62+19.889≈81.889. Not.
Hmm, perhaps ( ( (64 - (62 - (27/9))) ). Let's compute 27/9=3. 62-3=59. 64-59=5. Not.
Hmm, maybe ( ( (62 - (64 - (27/9))) ). 27/9=3. 64-3=61. 62-61=1. Not.
Hmm, maybe ( ( (27 - (64 - (62/9))) ). Let's compute 62/9≈6.888. 64-6.888≈57.111. 27-57.111≈-30.111. Not.
Hmm, perhaps ( ( (62 * (64 - (27 +9))) ). 27+9=36. 64-36=28. 62*28=1736. Not.
Hmm, maybe ( ( (64 - (62 -27)) ) * (9 / something) ). 62-27=35. 64-35=29. 29*(9/x). Not.
Hmm, perhaps ( ( (62 + 27) - (64 -9) ) ). 62+27=89. 64-9=55. 89-55=34. Not.
Hmm, maybe ( ( (64 * (62 -27)) /9 ) - something ). 62-27=35. 64*35=2240. 2240/9≈248.888. Subtract something? Not.
Hmm, perhaps ( ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, maybe ( ( (27 * (64 -62)) ) /9 ). 64-62=2. 27*2=54. 54/9=6. Not.
Hmm, perhaps ( ( (64 - (62 - (27 -9))) ). Let's compute inner: 27-9=18. 62-18=44. 64-44=20. Not.
Hmm, maybe ( ( (62 - (27 - (64/9))) ). Let's compute 64/9≈7.111. 27-7.111≈19.889. 62-19.889≈42.111. Not.
Hmm, perhaps ( ( (64 / (27 - (62/9))) ). Let's compute denominator: 62/9≈6.888. 27-6.888≈20.111. 64 divided by that≈3.18. Not.
Hmm, maybe ( ( (62 / ( (64 -27)/9 )) ). Let's compute denominator: (64-27)=37. 37/9≈4.111. 62 divided by that≈15.08. Not.
Hmm, perhaps ( ( ( (62 + 27) *9 ) /64 ). Let's compute numerator: 89*9=801. 801/64≈12.515. Close to 12.5, but not 11.
Hmm, maybe ( ( (62 *9) - (64 *27) ) / something ). 62*9=558. 64*27=1728. 558-1728= -1170. Divided by something? Not.
Hmm, perhaps ( ( (64 - (62 / (27 -9))) ). Let's compute denominator: 27-9=18. 62/18≈3.444. 64-3.444≈60.555. Not.
Hmm, maybe ( ( (62 - (64 - (27 +9))) ). Let's compute inner: 27+9=36. 64-36=28. 62-28=34. Not.
Hmm, perhaps ( ( (27 +9) - (64 -62) ) ). 27+9=36. 64-62=2. 36-2=34. Not.
Hmm, maybe ( ( (62 - (64 - (27/9))) ). Let's compute 27/9=3. 64-3=61. 62-61=1. Not.
Hmm, perhaps ( ( (64 - (62 - (27/9))) ). Let's compute 27/9=3. 62-3=59. 64-59=5. Not.
Hmm, maybe ( ( (62 - (27 + (64/9))) ). Let's compute 64/9≈7.111. 27+7.111≈34.111. 62-34.111≈27.889. Not.
Hmm, perhaps ( ( (64 * (27 -9)) /62 ). Let's compute 27-9=18. 64*18=1152. 1152/62≈18.58. Not.
Hmm, maybe ( ( (62 + (64 -27)) ) /9 ). 64-27=37. 62+37=99. 99/9=11. Oh! Wait, that's exactly 11!
Wait, let me check that again. Let's compute step by step:
First, compute 64 -27 = 37.
Then add that to 62: 62 +37 = 99.
Then divide by 9: 99 /9 =11.
Yes! That works. So the formula is (62 + (64 -27)) /9 =11.
Let me confirm all numbers are used exactly once:
62 is used, 64 is used, 27 is used, and 9 is used. Yes, each exactly once. The operations are subtraction, addition, and division. Parentheses are used to group the subtraction first.
So the formula is (62 + (64 -27)) /9 =11.
Yes! That's it.
{
"formula": '(62 + (64 - 27)) / 9'
}<|im_end|>
|
[
96,
95,
40,
87
] | 46 |
1506
|
{
"formula": '(87 + 95) - (40 + 96)'
}
| 3,493 | 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, 95, 40, 87,
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": '(87 + 95) - (40 + 96)'
}<|im_end|>
|
[
99,
33,
6,
41
] | 52 |
1493
|
{
"formula": '((99 - 33) / 6) + 41'
}
| 7,081 | 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: 99, 33, 6, 41,
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": '((99 - 33) / 6) + 41'
}<|im_end|>
|
[
48,
72,
30,
72
] | 12 |
1524
|
{
"formula": '72/(48 - (72 - 30))',
}
| 5,359 | 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, 72, 30, 72,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '72/(48 - (72 - 30))',
}<|im_end|>
|
[
12,
36,
76,
72
] | 70 |
1511
|
{
"formula": '76 - (12 / (72 / 36))',
}
| 2,056 | 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, 36, 76, 72,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '76 - (12 / (72 / 36))',
}<|im_end|>
|
[
61,
7,
30,
13
] | 85 |
1522
|
{
"formula": '61 + (30 - (13 - 7))'
}
| 1,083 | 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: 61, 7, 30, 13,
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": '61 + (30 - (13 - 7))'
}<|im_end|>
|
[
42,
27,
94,
25
] | 54 |
1519
|
{
"formula": "94 - (25 + (42 - 27)) = 54"
}
| 1,702 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 42, 27, 94, 25,
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": "94 - (25 + (42 - 27)) = 54"
}<|im_end|>
|
[
70,
26,
64,
77
] | 79 |
1154
|
{
"formula": '((70 - 64) * 26) - 77'
}
| 8,629 | 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: 70, 26, 64, 77,
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": '((70 - 64) * 26) - 77'
}<|im_end|>
|
[
83,
32,
35,
64
] | 48 |
1530
|
{
"formula": '(64 + 32) - (83 - 35)'
}
| 352 | 4,383 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 83, 32, 35, 64,
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": '(64 + 32) - (83 - 35)'
}<|im_end|>
|
[
78,
2,
5,
42
] | 46 |
1523
|
{
"formula": '78 - (42 - (5 * 2))'
}
| 1,530 | 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: 78, 2, 5, 42,
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": '78 - (42 - (5 * 2))'
}<|im_end|>
|
[
3,
7,
33,
30
] | 42 |
1525
|
{
"formula": '30 + 33 - (3 * 7)'
}
| 1,219 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 3, 7, 33, 30,
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": '30 + 33 - (3 * 7)'
}<|im_end|>
|
[
44,
27,
40,
24
] | 87 |
1531
|
{
"formula": '44 + 27 + 40 - 24'
}
| 877 | 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, 27, 40, 24,
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": '44 + 27 + 40 - 24'
}<|im_end|>
|
[
33,
55,
27,
84
] | 23 |
1528
|
{
"formula": '(84 - 55) - (33 - 27)'
}
| 1,116 | 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, 55, 27, 84,
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": '(84 - 55) - (33 - 27)'
}<|im_end|>
|
[
36,
25,
83,
60
] | 38 |
1517
|
{
"formula": '36 + 60 + 25 - 83'
}
| 2,853 | 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, 25, 83, 60,
target: 38
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 38',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '36 + 60 + 25 - 83'
}<|im_end|>
|
[
47,
80,
13,
13
] | 42 |
1490
|
{
"formula": '(13 * 13) - 80 - 47'
}
| 1,928 | 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: 47, 80, 13, 13,
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": '(13 * 13) - 80 - 47'
}<|im_end|>
|
[
22,
49,
74,
68
] | 21 |
1521
|
{
"formula": '(49 - 22) - (74 - 68)'
}
| 2,929 | 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: 22, 49, 74, 68,
target: 21
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 21',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(49 - 22) - (74 - 68)'
}<|im_end|>
|
[
81,
14,
42,
1
] | 54 |
1526
|
{
"formula": '81 - 42 + 14 + 1'
}
| 2,035 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 14, 42, 1,
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": '81 - 42 + 14 + 1'
}<|im_end|>
|
[
6,
81,
81,
5
] | 30 |
1544
|
{
"formula": "(81 - 81) + (5 * 6)"
}
| 767 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 81, 81, 5,
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": "(81 - 81) + (5 * 6)"
}<|im_end|>
|
[
9,
92,
56,
61
] | 88 |
1542
|
{
"formula": "(92 - 56) + (61 - 9)"
}
| 941 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 92, 56, 61,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(92 - 56) + (61 - 9)"
}<|im_end|>
|
[
56,
49,
96,
5
] | 94 |
1532
|
{
"formula": '96 - 56 + 5 + 49'
}
| 1,904 | 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: 56, 49, 96, 5,
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": '96 - 56 + 5 + 49'
}<|im_end|>
|
[
1,
43,
14,
67
] | 11 |
1540
|
{
"formula": '(67 - 43 - 14) + 1'
}
| 1,260 | 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: 1, 43, 14, 67,
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": '(67 - 43 - 14) + 1'
}<|im_end|>
|
[
30,
58,
46,
7
] | 35 |
1541
|
{
"formula": '(58 - 46) + (30 - 7)'
}
| 1,648 | 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: 30, 58, 46, 7,
target: 35
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 35',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(58 - 46) + (30 - 7)'
}<|im_end|>
|
[
29,
84,
24,
28
] | 60 |
1543
|
{
"formula": '84 + (24 / (28 - 29))'
}
| 1,673 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 84, 24, 28,
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": '84 + (24 / (28 - 29))'
}<|im_end|>
|
[
11,
71,
51,
24
] | 33 |
1558
|
{
"formula": '(71 - 51) + (24 - 11) = 33'
}
| 1,856 | 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, 71, 51, 24,
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": '(71 - 51) + (24 - 11) = 33'
}<|im_end|>
|
[
41,
27,
72,
28
] | 74 |
1091
|
{
"formula": '72 + (28 / (41 - 27))',
}
| 11,200 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 41, 27, 72, 28,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '72 + (28 / (41 - 27))',
}<|im_end|>
|
[
54,
57,
65,
63
] | 72 |
1545
|
{
"formula": "(65 - 57) * (63 - 54)"
}
| 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: 54, 57, 65, 63,
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": "(65 - 57) * (63 - 54)"
}<|im_end|>
|
[
45,
86,
31,
33
] | 39 |
1548
|
{
"formula": '(86 - 45) - (33 - 31)'
}
| 1,493 | 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, 86, 31, 33,
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": '(86 - 45) - (33 - 31)'
}<|im_end|>
|
[
60,
79,
40,
12
] | 71 |
1568
|
{
"formula": '79 - (40 / (60 / 12))',
}
| 1,167 | 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, 79, 40, 12,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '79 - (40 / (60 / 12))',
}<|im_end|>
|
[
67,
78,
9,
66
] | 41 |
1551
|
{
"formula": "(78 - 66) * 9 - 67"
}
| 1,792 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 78, 9, 66,
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": "(78 - 66) * 9 - 67"
}<|im_end|>
|
[
23,
42,
72,
100
] | 37 |
1571
|
{
"formula": '72 - (100 - (42 + 23))',
}
| 1,058 | 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: 23, 42, 72, 100,
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": '72 - (100 - (42 + 23))',
}<|im_end|>
|
[
18,
65,
84,
38
] | 39 |
1564
|
{
"formula": "(84 - 65) + (38 - 18)"
}
| 791 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 65, 84, 38,
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": "(84 - 65) + (38 - 18)"
}<|im_end|>
|
[
2,
19,
3,
39
] | 64 |
1567
|
{
"formula": '(39 + 19) + (3 * 2)'
}
| 711 | 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: 2, 19, 3, 39,
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": '(39 + 19) + (3 * 2)'
}<|im_end|>
|
[
77,
18,
83,
55
] | 43 |
1566
|
{
"formula": "(83 - 77) + (55 - 18)"
}
| 735 | 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, 18, 83, 55,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(83 - 77) + (55 - 18)"
}<|im_end|>
|
[
13,
41,
7,
49
] | 99 |
1399
|
{
"formula": '(13 * 7) + (49 - 41)'
}
| 3,415 | 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: 13, 41, 7, 49,
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": '(13 * 7) + (49 - 41)'
}<|im_end|>
|
[
6,
70,
34,
20
] | 39 |
1547
|
{
"formula": '34 + (70 / (20 - 6))'
}
| 2,669 | 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: 6, 70, 34, 20,
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": '34 + (70 / (20 - 6))'
}<|im_end|>
|
[
13,
60,
85,
54
] | 78 |
1554
|
{
"formula": '85 - 54 + 60 - 13'
}
| 2,282 | 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, 60, 85, 54,
target: 78
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 78',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - 54 + 60 - 13'
}<|im_end|>
|
[
11,
22,
69,
96
] | 54 |
1560
|
{
"formula": '(96 - 69) * (22 / 11)'
}
| 1,929 | 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, 22, 69, 96,
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": '(96 - 69) * (22 / 11)'
}<|im_end|>
|
[
7,
35,
41,
26
] | 13 |
1582
|
{
"formula": '(35 + 26) - (41 + 7) = 13'
}
| 3,396 | 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, 35, 41, 26,
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": '(35 + 26) - (41 + 7) = 13'
}<|im_end|>
|
[
3,
12,
54,
90
] | 32 |
1583
|
{
"formula": "(90 - 54) - (12 / 3)"
}
| 470 | 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, 12, 54, 90,
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": "(90 - 54) - (12 / 3)"
}<|im_end|>
|
[
34,
95,
19,
14
] | 66 |
1584
|
{
"formula": '(95 + 19) - (34 + 14)',
}
| 2,604 | 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: 34, 95, 19, 14,
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": '(95 + 19) - (34 + 14)',
}<|im_end|>
|
[
68,
56,
2,
1
] | 25 |
1562
|
{
"formula": '(68 - 56) * 2 + 1'
}
| 2,163 | 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: 68, 56, 2, 1,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(68 - 56) * 2 + 1'
}<|im_end|>
|
[
15,
2,
77,
69
] | 14 |
1575
|
{
"formula": '(15 - (77 - 69)) * 2'
}
| 1,198 | 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: 15, 2, 77, 69,
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": '(15 - (77 - 69)) * 2'
}<|im_end|>
|
[
15,
9,
89,
30
] | 71 |
1433
|
{
"formula": '89 - ((30 / 15) * 9)',
}
| 980 | 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: 15, 9, 89, 30,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '89 - ((30 / 15) * 9)',
}<|im_end|>
|
[
82,
37,
52,
47
] | 50 |
1573
|
{
"formula": '82 - 37 + 52 - 47'
}
| 1,338 | 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, 37, 52, 47,
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": '82 - 37 + 52 - 47'
}<|im_end|>
|
[
4,
3,
75,
37
] | 50 |
1586
|
{
"formula": '(75 - 37) + (4 * 3)'
}
| 496 | 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, 3, 75, 37,
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 - 37) + (4 * 3)'
}<|im_end|>
|
[
44,
12,
46,
32
] | 22 |
1572
|
{
"formula": "44/(46 - (32 + 12))"
}
| 2,151 | 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, 12, 46, 32,
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": "44/(46 - (32 + 12))"
}<|im_end|>
|
[
65,
84,
74,
31
] | 24 |
1561
|
{
"formula": '(65 + 74) - (84 + 31)'
}
| 3,223 | 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, 84, 74, 31,
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": '(65 + 74) - (84 + 31)'
}<|im_end|>
|
[
6,
48,
55,
13
] | 11 |
1579
|
{
"formula": '55/(13 - 48/6)'
}
| 1,853 | 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: 6, 48, 55, 13,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '55/(13 - 48/6)'
}<|im_end|>
|
[
42,
99,
23,
67
] | 13 |
1593
|
{
"formula": '(99 - 67) - (42 - 23)'
}
| 688 | 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, 99, 23, 67,
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": '(99 - 67) - (42 - 23)'
}<|im_end|>
|
[
36,
29,
12,
46
] | 41 |
1577
|
{
"formula": "(46 + 36) - 29 - 12"
}
| 2,104 | 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, 29, 12, 46,
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": "(46 + 36) - 29 - 12"
}<|im_end|>
|
[
38,
52,
5,
90
] | 72 |
1600
|
{
"formula": '(52 - (90 / 5)) + 38'
}
| 1,793 | 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: 38, 52, 5, 90,
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": '(52 - (90 / 5)) + 38'
}<|im_end|>
|
[
96,
18,
10,
17
] | 87 |
1588
|
{
"formula": "(96 + 18) - (17 + 10)"
}
| 1,509 | 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, 18, 10, 17,
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": "(96 + 18) - (17 + 10)"
}<|im_end|>
|
[
78,
75,
12,
66
] | 51 |
1563
|
{
"formula": '(66 - 12) - (78 - 75)'
}
| 3,711 | 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: 78, 75, 12, 66,
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": '(66 - 12) - (78 - 75)'
}<|im_end|>
|
[
96,
86,
40,
5
] | 20 |
1590
|
{
"formula": '5 * (40 / (96 - 86))'
}
| 1,440 | 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: 96, 86, 40, 5,
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": '5 * (40 / (96 - 86))'
}<|im_end|>
|
[
5,
44,
29,
77
] | 74 |
1151
|
{
"formula": '77 - ((44 - 29) / 5) = 74'
}
| 1,432 | 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, 44, 29, 77,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 - ((44 - 29) / 5) = 74'
}<|im_end|>
|
[
55,
79,
78,
9
] | 45 |
1592
|
{
"formula": '55 - (79 - 78 + 9) = 45'
}
| 1,551 | 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, 79, 78, 9,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '55 - (79 - 78 + 9) = 45'
}<|im_end|>
|
[
32,
74,
43,
13
] | 50 |
1419
|
{
"formula": '(74 + 32) - (43 + 13)'
}
| 1,843 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 74, 43, 13,
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": '(74 + 32) - (43 + 13)'
}<|im_end|>
|
[
22,
68,
28,
40
] | 21 |
1585
|
{
"formula": '22 - ((68 - 40) / 28)'
}
| 2,346 | 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: 22, 68, 28, 40,
target: 21
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 21',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '22 - ((68 - 40) / 28)'
}<|im_end|>
|
[
88,
4,
65,
41
] | 22 |
1591
|
{
"formula": '65 + 41 - 88 + 4'
}
| 1,921 | 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: 88, 4, 65, 41,
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": '65 + 41 - 88 + 4'
}<|im_end|>
|
[
89,
31,
30,
47
] | 75 |
1598
|
{
"formula": '89 - (31 - (47 - 30))'
}
| 1,554 | 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, 31, 30, 47,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '89 - (31 - (47 - 30))'
}<|im_end|>
|
[
14,
22,
98,
83
] | 68 |
1604
|
{
"formula": '83 - (22 - (98 / 14))',
}
| 1,051 | 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: 14, 22, 98, 83,
target: 68
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 68',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '83 - (22 - (98 / 14))',
}<|im_end|>
|
[
12,
4,
45,
4
] | 57 |
1595
|
{
"formula": '45 + 12 * (4 / 4)'
}
| 1,791 | 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, 4, 45, 4,
target: 57
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 57',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '45 + 12 * (4 / 4)'
}<|im_end|>
|
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