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value | metrics dict | num_asked_few_shots int64 0 0 | num_effective_few_shots int64 0 0 | padded sequencelengths 1 1 | pred_logits sequencelengths 0 0 | prediction_logits sequencelengths 0 0 | predictions sequencelengths 1 1 | specifics dict | truncated sequencelengths 1 1 |
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[] | Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final number or expression that solves the problem. Think step by step before an... | <|im_start|>system
You are a helpful assistant<|im_end|>
<|im_start|>user
Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final ... | [
"321"
] | [] | {
"extractive_match": 1
} | 0 | 0 | [
0
] | [] | [] | [
"<think>\nOkay, so I have this problem here: Let ω ≠ 1 be a 13th root of unity. Find the remainder when the product ∏_{k=0}^{12}(2 - 2ω^k + ω^{2k}) is divided by 1000. Hmm, okay. Let me try to figure this out step by step.\n\nFirst, I know that ω is a primitive 13th root of unity, so ω^13 = 1, and the minimal polyn... | {
"extracted_golds": [
"321",
"321"
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"extracted_predictions": [
"321",
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} | [
0
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[] | Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final number or expression that solves the problem. Think step by step before an... | <|im_start|>system
You are a helpful assistant<|im_end|>
<|im_start|>user
Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final ... | [
"480"
] | [] | {
"extractive_match": 1
} | 0 | 0 | [
0
] | [] | [] | [
"<think>\nOkay, so I have this problem here about a hyperbola and a rhombus whose diagonals intersect at the origin. I need to find the greatest real number that is less than BD² for all such rhombi. Hmm, let me break this down step by step.\n\nFirst, the hyperbola is given by the equation x²/20 - y²/24 = 1. So, th... | {
"extracted_golds": [
"480",
"480"
],
"extracted_predictions": [
"480",
"480"
]
} | [
0
] | |
[] | Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final number or expression that solves the problem. Think step by step before an... | <|im_start|>system
You are a helpful assistant<|im_end|>
<|im_start|>user
Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final ... | [
"104"
] | [] | {
"extractive_match": 0
} | 0 | 0 | [
0
] | [] | [] | [
"<think>\nOkay, let me try to figure out this geometry problem. So, we have two rectangles, ABCD and EFGH. The points D, E, C, F are collinear, meaning they all lie on a straight line. Also, the points A, D, H, G lie on a circle. We’re given some lengths: BC is 16, AB is 107, FG is 17, and EF is 184. We need to fin... | {
"extracted_golds": [
"104",
"104"
],
"extracted_predictions": [
"107",
"107"
]
} | [
0
] | |
[] | Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final number or expression that solves the problem. Think step by step before an... | <|im_start|>system
You are a helpful assistant<|im_end|>
<|im_start|>user
Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final ... | [
"055"
] | [] | {
"extractive_match": 0
} | 0 | 0 | [
0
] | [] | [] | [
"<think>\nOkay, let me try to figure out this problem step by step. So, the problem is about Alice choosing a set A of positive integers, and then Bob lists all finite nonempty sets B of positive integers where the maximum element of B is in A. The total number of such sets B is 2024, and we need to find the sum of... | {
"extracted_golds": [
"55",
"55"
],
"extracted_predictions": [
"58",
"58"
]
} | [
0
] | |
[] | Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final number or expression that solves the problem. Think step by step before an... | <|im_start|>system
You are a helpful assistant<|im_end|>
<|im_start|>user
Solve the following math problem efficiently and clearly. The last line of your response should be of the following format: 'Therefore, the final answer is: $\boxed{ANSWER}$. I hope it is correct' (without quotes) where ANSWER is just the final ... | [
"236"
] | [] | {
"extractive_match": 1
} | 0 | 0 | [
0
] | [] | [] | [
"<think>\nOkay, let's try to solve this problem step by step. The problem is about finding the sum of the squares of all items in a list of positive integers with certain conditions. Let me parse the given information first.\n\nFirst, the sum of the items in the list is 30. So, if I denote the list as \\( a_1, a_2,... | {
"extracted_golds": [
"236",
"236"
],
"extracted_predictions": [
"236",
"236"
]
} | [
0
] | |
[] | "Solve the following math problem efficiently and clearly. The last line of your response should be(...TRUNCATED) | "<|im_start|>system\nYou are a helpful assistant<|im_end|>\n<|im_start|>user\nSolve the following ma(...TRUNCATED) | [
"721"
] | [] | {
"extractive_match": 0
} | 0 | 0 | [
0
] | [] | [] | ["<think>\nOkay, let's try to tackle this problem step by step. The problem is about finding the rad(...TRUNCATED) | {
"extracted_golds": [
"721",
"721"
],
"extracted_predictions": [
"27",
"27"
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} | [
0
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[] | "Solve the following math problem efficiently and clearly. The last line of your response should be(...TRUNCATED) | "<|im_start|>system\nYou are a helpful assistant<|im_end|>\n<|im_start|>user\nSolve the following ma(...TRUNCATED) | [
"104"
] | [] | {
"extractive_match": 0
} | 0 | 0 | [
0
] | [] | [] | ["<think>\nOkay, so I have this problem about a tetrahedron ABCD with specific edge lengths. The que(...TRUNCATED) | {
"extracted_golds": [
"104",
"104"
],
"extracted_predictions": [
"1",
"1"
]
} | [
0
] | |
[] | "Solve the following math problem efficiently and clearly. The last line of your response should be(...TRUNCATED) | "<|im_start|>system\nYou are a helpful assistant<|im_end|>\n<|im_start|>user\nSolve the following ma(...TRUNCATED) | [
"540"
] | [] | {
"extractive_match": 1
} | 0 | 0 | [
0
] | [] | [] | ["<think>\nOkay, so I need to find the largest possible real part of the expression \\((75 + 117i)z (...TRUNCATED) | {
"extracted_golds": [
"540",
"540"
],
"extracted_predictions": [
"540",
"540"
]
} | [
0
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[] | "Solve the following math problem efficiently and clearly. The last line of your response should be(...TRUNCATED) | "<|im_start|>system\nYou are a helpful assistant<|im_end|>\n<|im_start|>user\nSolve the following ma(...TRUNCATED) | [
"294"
] | [] | {
"extractive_match": 1
} | 0 | 0 | [
0
] | [] | [] | ["<think>\nOkay, so I need to find the number of paths of length 16 on an 8x8 grid that start at the(...TRUNCATED) | {
"extracted_golds": [
"294",
"294"
],
"extracted_predictions": [
"294",
"294"
]
} | [
0
] | |
[] | "Solve the following math problem efficiently and clearly. The last line of your response should be(...TRUNCATED) | "<|im_start|>system\nYou are a helpful assistant<|im_end|>\n<|im_start|>user\nSolve the following ma(...TRUNCATED) | [
"073"
] | [] | {
"extractive_match": 0
} | 0 | 0 | [
0
] | [] | [] | ["<think>\nOkay, let me try to figure out this problem step by step. So, we have 900 residents in Ai(...TRUNCATED) | {
"extracted_golds": [
"73",
"73"
],
"extracted_predictions": [
"34",
"34"
]
} | [
0
] |
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