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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 48 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"} | test | {"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"} | [
"To solve this problem, we need to use the numbers 73 and 48 from the given list to form an equation that equals 121 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 121.\n2. **Consider Possible Operations**:\n ... | [
false
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""
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false
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[
false
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"\\( (73 \\times 48) - 3003 + 48 - 145 + 100 \\)"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 14*54 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"} | test | {"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"} | [
"To solve this problem, we need to combine the given numbers [14, 54] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 756. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is ... | [
false
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""
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false
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"\\(14 \\times 54 = 756\\)"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 40 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"} | test | {"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"} | [
"To solve this problem, we need to use the numbers 40 and 70 from the given list and combine them using basic arithmetic operations to get the target number, which is 110. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the result of 110.\n2. **Consider possible combinations**: Since w... | [
false
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""
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false
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 31*30 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"} | test | {"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"} | [
"To solve for 930 using the numbers 30 and 31 with basic arithmetic operations, we need to strategically combine these numbers. Let's break down the process:\n\n1. **Identify the goal**: We want to get 930.\n2. **Consider possible combinations**: Since we have two numbers (30 and 31), one approach might involve mul... | [
false
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 25 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"} | test | {"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"} | [
"To solve for the target number 103 using the given numbers 25 and 78, we need to find a combination of addition, subtraction, multiplication, and division that will result in 103 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 25 and 78**:\n \\[\n ... | [
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"} | test | {"source_dataset": "countdown", "source_index": 6120, "numbers": [85, 76], "target": 161, "expression": "76 + 85"} | [
"To solve this problem, we need to use the numbers 85 and 76 from the given list and combine them using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 161. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Num... | [
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""
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 45 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"} | test | {"source_dataset": "countdown", "source_index": 5533, "numbers": [45, 75], "target": 120, "expression": "45 + 75"} | [
"To solve this problem, we need to use the numbers 45 and 75 from the given list and combine them using basic arithmetic operations to get the target number, which is 120. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 45 and 75**:\n - First, multiply these two numbers together.\n ... | [
false
] | [
""
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] | [
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 14*62 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"} | test | {"source_dataset": "countdown", "source_index": 5746, "numbers": [62, 14], "target": 868, "expression": "14*62"} | [
"To solve this problem, we need to combine the given numbers [62, 14] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 868. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is ... | [
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 6*87 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"} | test | {"source_dataset": "countdown", "source_index": 5021, "numbers": [87, 6], "target": 522, "expression": "6*87"} | [
"To solve this problem, we need to combine the given numbers [87, 6] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 522. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 5... | [
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 90 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"} | test | {"source_dataset": "countdown", "source_index": 6819, "numbers": [90, 66], "target": 156, "expression": "90 + 66"} | [
"To solve this problem, we need to combine the given numbers [90, 66] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 156. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 156.\n2... | [
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""
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[
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]
] | [
[
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 17 + 92 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"} | test | {"source_dataset": "countdown", "source_index": 5462, "numbers": [17, 92], "target": 109, "expression": "17 + 92"} | [
"To solve this problem, we need to use the numbers 17 and 92 from the given list to achieve the target number 109 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 17 and 92**:\n - First, multiply 17 by 92.\n \\[\n 17 \\times 92 = 1564\n \\]... | [
false
] | [
""
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 32*20 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"} | test | {"source_dataset": "countdown", "source_index": 6675, "numbers": [32, 20], "target": 640, "expression": "32*20"} | [
"To solve this problem, we need to use the numbers 32 and 20 from the given list to achieve the target number 640 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 32 and 20**:\n - First, multiply the two numbers together.\n \\[\n 32 \\times 20 = 64... | [
false
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""
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"32 \\times 20"
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[
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]
] | [
[
"32 \\times 20"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 74 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"} | test | {"source_dataset": "countdown", "source_index": 5279, "numbers": [74, 51], "target": 125, "expression": "74 + 51"} | [
"To solve this problem, we need to use the numbers 74 and 51 from the given list and combine them using basic arithmetic operations to get the target number, which is 125. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 74 and 51**:\n - First, let's multiply these two numbers together.... | [
false
] | [
""
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"(74 \\times 51) \\div 74"
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[
false
]
] | [
[
"(74 \\times 51) \\div 74"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "(74 \\times 51) \\div 74", "context": "Therefore, the equation that equals 125 using the numbers 74 and 51 is:", "end_line": 24, "end_pos": 658, "start_line": 24, "start_pos": 627}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 658, "line_range": "24-24", "start_pos": 627}], "total_internal_spans": 1, "total_spans": 1} | [{"value": "[{'answer_block': '(74 \\\\times 51) \\\\div 74', 'error': 'Could not evaluate expression', 'final_answer': None, 'is_correct': False}]"}] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 7*80 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"} | test | {"source_dataset": "countdown", "source_index": 5775, "numbers": [80, 7], "target": 560, "expression": "7*80"} | [
"To solve this problem, we need to use the numbers 80 and 7 exactly once to get the result 560 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the sum of 560 using the given numbers.\n2. **Consider possible combinations**: Since we have two numbers (8... | [
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 73 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"To solve for 153 using the numbers 73 and 80 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 153. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 73 and 80.\... | [
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 84 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"} | test | {"source_dataset": "countdown", "source_index": 5705, "numbers": [27, 84], "target": 111, "expression": "84 + 27"} | [
"To solve this problem, we need to use the numbers 27 and 84 from the given list and combine them using basic arithmetic operations to get the target number, which is 111. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 27 and 84**:\n \\[\n 27 \\times 84 = 2268\n \\]\n\n2. **Subtra... | [
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 55 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"} | test | {"source_dataset": "countdown", "source_index": 6474, "numbers": [66, 55], "target": 121, "expression": "55 + 66"} | [
"To solve this problem, we need to use the numbers 66 and 55 from the given list to form an equation that equals 121 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the result 121.\n2. **Consider possible combinations**: Since we have two numbers (66 ... | [
false
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""
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 47 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"} | test | {"source_dataset": "countdown", "source_index": 5465, "numbers": [66, 47], "target": 113, "expression": "47 + 66"} | [
"To solve this problem, we need to use the numbers 66 and 47 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 113. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: We want to achieve the result of 113.\n \n2. ... | [
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 91 + 75 | countdown_2arg | countdown | [
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 81 + 40 | countdown_2arg | countdown | [
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 37 + 87 | countdown_2arg | countdown | [
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [63, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 63 + 52 | countdown_2arg | countdown | [
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"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [41, 22], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 41*22 | countdown_2arg | countdown | [
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"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"\\( 41 \\times 22 = 902 \\)"
] | {"all_spans_summary": [{"answer": "\\( 41 \\times 22 = 902 \\)", "context": "<answer> \\( 41 \\times 22 = 902 \\) </answer>", "end_line": 21, "start_line": 21}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "\\( 41 \\times 22 = 902 \\)", "context": "<answer> \\( 41 \\times 22 = 902 \\) </answer>", "end_line": 21, "end_pos": 919, "start_line": 21, "start_pos": 894}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1} | [{"answer_block": "\\( 41 \\times 22 = 902 \\)", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}] | [
[
false
]
] | [
[
"\\( 41 \\times 22 = 902 \\)"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 41 \\times 22 = 902 \\)", "context": "<answer> \\( 41 \\times 22 = 902 \\) </answer>", "end_line": 21, "end_pos": 919, "start_line": 21, "start_pos": 894}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 919, "line_range": "21-21", "start_pos": 894}], "total_internal_spans": 1, "total_spans": 1} | [{"value": "[{'answer_block': '\\\\( 41 \\\\times 22 = 902 \\\\)', 'error': 'Could not evaluate expression', 'final_answer': None, 'is_correct': False}]"}] | {
"flips_by": [
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": null,
"percent_correct": null,
"skill_count": {
"answer_revision": [
0
],
"best_of_n": [
0
],
"reflect_close": [
0
],
"reflect_open": [
0
],
"reflection_sbon": [
0
],
"sample_close": [
0
],
"sample_open": [
0
],
"vote_close": [
0
],
"vote_open": [
0
],
"voting": [
0
]
},
"total_responses": 1
} | 2025-09-04 |
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