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aime_2025_1
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
20,831,573
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
203
65,301
I will assess the problem step by step as instructed. **1. What does the problem require?** The problem asks for all integer bases \( b > 9 \) such that the number written as "17" in base \( b \) (i.e., the value \( 1 \times b + 7 \)) is a divisor of the number written as "97" in base \( b \) (i.e., the value \( 9 \t...
I will assess the problem step by step as instructed. **1. What does the problem require?** The problem asks for all integer bases \( b > 9 \) such that the number written as "17" in base \( b \) (i.e., the value \( 1 \times b + 7 \)) is a divisor of the number written as "97" in base \( b \) (i.e., the value \( 9 \t...
I will assess the problem step by step as instructed. **1. What does the problem require?** The problem asks for all integer bases \( b > 9 \) such that the number written as "17" in base \( b \) (i.e., the value \( 1 \times b + 7 \)) is a divisor of the number written as "97" in base \( b \) (i.e., the value \( 9 \t...
673
stop
false
true
null
null
null
70
70
false
rule_boxed
false
[]
null
true
aime_2025_1
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
20,831,574
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
203
65,301
I need to assess my ability to solve the given problem before providing an estimate. Let's break down what the problem requires: 1. **Understanding Base Notation:** The numbers 17_b and 97_b are in base b. I must convert these to base-10 integers. For 17_b, that's 1*b + 7. For 97_b, that's 9*b + 7. This requires reco...
I need to assess my ability to solve the given problem before providing an estimate. Let's break down what the problem requires: 1. **Understanding Base Notation:** The numbers 17_b and 97_b are in base b. I must convert these to base-10 integers. For 17_b, that's 1*b + 7. For 97_b, that's 9*b + 7. This requires reco...
I need to assess my ability to solve the given problem before providing an estimate. Let's break down what the problem requires: 1. **Understanding Base Notation:** The numbers 17_b and 97_b are in base b. I must convert these to base-10 integers. For 17_b, that's 1*b + 7. For 97_b, that's 9*b + 7. This requires reco...
919
stop
false
true
null
null
null
80
80
false
rule_boxed
false
[]
null
false
aime_2025_1
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
2
20,831,575
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
203
65,301
I will assess the problem as requested. First, I need to understand what the problem is asking. It involves numbers written in different bases—specifically, the numbers 17 and 97 in base \( b \). I must interpret these numbers in base 10, set up the divisibility condition, and then solve for integer bases greater than...
I will assess the problem as requested. First, I need to understand what the problem is asking. It involves numbers written in different bases—specifically, the numbers 17 and 97 in base \( b \). I must interpret these numbers in base 10, set up the divisibility condition, and then solve for integer bases greater than...
I will assess the problem as requested. First, I need to understand what the problem is asking. It involves numbers written in different bases—specifically, the numbers 17 and 97 in base \( b \). I must interpret these numbers in base 10, set up the divisibility condition, and then solve for integer bases greater than...
429
stop
false
true
null
null
null
70
70
false
rule_boxed
false
[]
null
true
aime_2025_10
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
21,220,471
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
471
65,033
To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with the additional constraint that each of the three 3×3 blocks must also contain the numbers 1–9. The task is not just to count th...
To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with the additional constraint that each of the three 3×3 blocks must also contain the numbers 1–9. The task is not just to count th...
To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with the additional constraint that each of the three 3×3 blocks must also contain the numbers 1–9. The task is not just to count th...
555
stop
false
true
null
null
null
10
10
false
rule_boxed
false
[]
null
false
aime_2025_10
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
21,220,472
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
471
65,033
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with additional structure due to the three 3×3 blocks (though the grid is already divided into those blocks by its 3×3 layout). The...
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with additional structure due to the three 3×3 blocks (though the grid is already divided into those blocks by its 3×3 layout). The...
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a combinatorial counting problem involving a partially filled 3×9 Sudoku grid, with additional structure due to the three 3×3 blocks (though the grid is already divided into those blocks by its 3×3 layout). The...
457
stop
false
true
null
null
null
5
10
true
rule_boxed
false
[]
null
false
aime_2025_10
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
2
21,220,473
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
471
65,033
I assess the problem as follows: First, the problem involves counting the number of valid fillings of a 3×9 Sudoku grid with the given pre-filled first three rows. A standard Sudoku of this size (3×9) has the additional constraint that each of the nine 3×3 subgrids (blocks) must also contain each digit 1–9 exactly onc...
I assess the problem as follows: First, the problem involves counting the number of valid fillings of a 3×9 Sudoku grid with the given pre-filled first three rows. A standard Sudoku of this size (3×9) has the additional constraint that each of the nine 3×3 subgrids (blocks) must also contain each digit 1–9 exactly onc...
I assess the problem as follows: First, the problem involves counting the number of valid fillings of a 3×9 Sudoku grid with the given pre-filled first three rows. A standard Sudoku of this size (3×9) has the additional constraint that each of the nine 3×3 subgrids (blocks) must also contain each digit 1–9 exactly onc...
511
stop
false
true
null
null
null
20
20
false
rule_boxed
false
[]
null
false
aime_2025_12
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
20,581,240
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
286
65,218
I assess the problem as follows: The problem involves finding the area of a region defined by the intersection of a plane in 3D space and a set of non-linear inequalities (specifically, a double inequality involving products of the coordinates). The region is claimed to form three disjoint convex regions, with only on...
I assess the problem as follows: The problem involves finding the area of a region defined by the intersection of a plane in 3D space and a set of non-linear inequalities (specifically, a double inequality involving products of the coordinates). The region is claimed to form three disjoint convex regions, with only on...
I assess the problem as follows: The problem involves finding the area of a region defined by the intersection of a plane in 3D space and a set of non-linear inequalities (specifically, a double inequality involving products of the coordinates). The region is claimed to form three disjoint convex regions, with only on...
401
stop
false
true
null
null
null
20
20
false
rule_boxed
false
[]
null
false
aime_2025_12
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
20,581,241
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
286
65,218
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a high-level Olympiad-style problem involving three-dimensional geometry, inequalities (especially non-linear ones involving products of variables), intersections with a plane, and determining the area of a reg...
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a high-level Olympiad-style problem involving three-dimensional geometry, inequalities (especially non-linear ones involving products of variables), intersections with a plane, and determining the area of a reg...
To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It is a high-level Olympiad-style problem involving three-dimensional geometry, inequalities (especially non-linear ones involving products of variables), intersections with a plane, and determining the area of a reg...
653
stop
false
true
null
null
null
30
30
false
rule_boxed
false
[]
null
false
aime_2025_12
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
2
20,581,242
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
286
65,218
I need to assess the difficulty and my ability to solve the given 3D geometry problem before estimating my chance of getting it right over 10 independent attempts. Let's break down the problem requirements: 1. **Understanding the Geometry**: The problem involves points in 3D space constrained to the plane \( x + y + ...
I need to assess the difficulty and my ability to solve the given 3D geometry problem before estimating my chance of getting it right over 10 independent attempts. Let's break down the problem requirements: 1. **Understanding the Geometry**: The problem involves points in 3D space constrained to the plane \( x + y + ...
I need to assess the difficulty and my ability to solve the given 3D geometry problem before estimating my chance of getting it right over 10 independent attempts. Let's break down the problem requirements: 1. **Understanding the Geometry**: The problem involves points in 3D space constrained to the plane \( x + y + ...
862
stop
false
true
null
null
null
20
20
false
rule_boxed
true
["answer_declaration"]
involves expressing the area in the form \( a\sqrt{b} \), suggesting some symmetry or simplification that leads to a clean radical form
false
aime_2025_19
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
20,766,034
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
363
65,141
I assess the problem as follows: The problem involves evaluating a large telescoping product of logarithms with changing bases and exponents that are quadratic in the base index. Each term in the product has the form \(\frac{\log_k(5^{k^2 - 1})}{\log_{k+1}(5^{k^2 - 4})}\). To solve it, one must recognize the telesco...
I assess the problem as follows: The problem involves evaluating a large telescoping product of logarithms with changing bases and exponents that are quadratic in the base index. Each term in the product has the form \(\frac{\log_k(5^{k^2 - 1})}{\log_{k+1}(5^{k^2 - 4})}\). To solve it, one must recognize the telesco...
I assess the problem as follows: The problem involves evaluating a large telescoping product of logarithms with changing bases and exponents that are quadratic in the base index. Each term in the product has the form \(\frac{\log_k(5^{k^2 - 1})}{\log_{k+1}(5^{k^2 - 4})}\). To solve it, one must recognize the telesco...
403
stop
false
true
null
null
null
70
70
false
rule_boxed
false
[]
null
false
aime_2025_19
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
20,766,035
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
363
65,141
I assess the problem as follows: The problem involves evaluating a large product of logarithmic fractions, each with bases and arguments that follow a clear pattern. The structure suggests telescoping behavior, a common technique in product and quotient expressions involving logs and exponents. The challenge lies in r...
I assess the problem as follows: The problem involves evaluating a large product of logarithmic fractions, each with bases and arguments that follow a clear pattern. The structure suggests telescoping behavior, a common technique in product and quotient expressions involving logs and exponents. The challenge lies in r...
I assess the problem as follows: The problem involves evaluating a large product of logarithmic fractions, each with bases and arguments that follow a clear pattern. The structure suggests telescoping behavior, a common technique in product and quotient expressions involving logs and exponents. The challenge lies in r...
195
stop
false
true
null
null
null
70
70
false
rule_boxed
false
[]
null
false
aime_2025_19
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
2
20,766,036
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
363
65,141
I have assessed the problem and considered the required mathematical techniques, including properties of logarithms, telescoping products, and simplification of complex fractions. The problem involves recognizing patterns in the exponents and the bases of the logarithms, as well as the ability to manipulate logarithmic...
I have assessed the problem and considered the required mathematical techniques, including properties of logarithms, telescoping products, and simplification of complex fractions. The problem involves recognizing patterns in the exponents and the bases of the logarithms, as well as the ability to manipulate logarithmic...
I have assessed the problem and considered the required mathematical techniques, including properties of logarithms, telescoping products, and simplification of complex fractions. The problem involves recognizing patterns in the exponents and the bases of the logarithms, as well as the ability to manipulate logarithmic...
123
stop
false
true
null
null
null
70
70
false
rule_boxed
false
[]
null
false
aime_2025_25
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
20,319,605
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
240
65,264
I assess the problem as follows: First, the problem involves arranging 16 chairs in a row and choosing a subset of 8 chairs such that no person sits next to two other people. Translating the condition "no person sits next to two other people" into combinatorial language, it means that in the chosen subset of 8 chairs,...
I assess the problem as follows: First, the problem involves arranging 16 chairs in a row and choosing a subset of 8 chairs such that no person sits next to two other people. Translating the condition "no person sits next to two other people" into combinatorial language, it means that in the chosen subset of 8 chairs,...
I assess the problem as follows: First, the problem involves arranging 16 chairs in a row and choosing a subset of 8 chairs such that no person sits next to two other people. Translating the condition "no person sits next to two other people" into combinatorial language, it means that in the chosen subset of 8 chairs,...
394
stop
false
true
null
null
null
40
40
false
rule_boxed
false
[]
null
false
aime_2025_25
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
20,319,606
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
240
65,264
I need to assess the likelihood of solving the given problem correctly before providing an estimate. First, let's break down the problem: We have 16 chairs in a row. Eight people are to sit, each on their own chair, with the condition that **no person sits next to two other people**. I interpret this to mean that no ...
I need to assess the likelihood of solving the given problem correctly before providing an estimate. First, let's break down the problem: We have 16 chairs in a row. Eight people are to sit, each on their own chair, with the condition that **no person sits next to two other people**. I interpret this to mean that no ...
I need to assess the likelihood of solving the given problem correctly before providing an estimate. First, let's break down the problem: We have 16 chairs in a row. Eight people are to sit, each on their own chair, with the condition that **no person sits next to two other people**. I interpret this to mean that no ...
1,196
stop
false
true
null
null
null
60
60
false
rule_boxed
true
["answer_declaration"]
2, and 2 mod 1000 is 2. But that seems too easy, and the problem is presented as if it's more complex (hence the mod 1000). Maybe my interpretation is wrong
false
aime_2025_25
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
2
20,319,607
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
240
65,264
I need to assess how likely I am to solve the following problem correctly, without actually solving it. Let's break down the problem and my thoughts on it. **Restating the Problem:** There are 16 chairs in a row. Eight people are to sit such that no person is sitting next to *two other people*. (This wording is a bit ...
I need to assess how likely I am to solve the following problem correctly, without actually solving it. Let's break down the problem and my thoughts on it. **Restating the Problem:** There are 16 chairs in a row. Eight people are to sit such that no person is sitting next to *two other people*. (This wording is a bit ...
I need to assess how likely I am to solve the following problem correctly, without actually solving it. Let's break down the problem and my thoughts on it. **Restating the Problem:** There are 16 chairs in a row. Eight people are to sit such that no person is sitting next to *two other people*. (This wording is a bit ...
1,326
stop
false
true
null
null
null
40
40
false
rule_boxed
false
[]
null
false
aime_2025_27
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
0
21,254,130
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
426
65,078
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the problem and analyze its difficulty and requirements. **1. Problem Understanding and Requirements:** - We have an 11-sided non-convex polygon with specific constraints on triangle areas and angles at each ...
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the problem and analyze its difficulty and requirements. **1. Problem Understanding and Requirements:** - We have an 11-sided non-convex polygon with specific constraints on triangle areas and angles at each ...
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the problem and analyze its difficulty and requirements. **1. Problem Understanding and Requirements:** - We have an 11-sided non-convex polygon with specific constraints on triangle areas and angles at each ...
868
stop
false
true
null
null
null
30
30
false
rule_boxed
false
[]
null
false
aime_2025_27
aime_2025
pre_conf
olmo3-7b-instruct
allenai/Olmo-3-7B-Instruct
6e5971d9eba42665f5bd5a0fcf047f299ce1dccc
default
-1
1
21,254,131
<|im_start|>system You are a helpful function-calling AI assistant. You do not currently have access to any functions. <functions></functions><|im_end|> <|im_start|>user Below is a math problem. Do NOT solve it. Instead, assess how likely you are to solve it correctly. Think about what the problem requires: the concep...
{}
426
65,078
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the requirements and difficulty: 1. **Understanding the Polygon Structure:** It's an 11-sided non-convex simple polygon. Non-convex means at least one interior angle is greater than 180°, but still simp...
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the requirements and difficulty: 1. **Understanding the Polygon Structure:** It's an 11-sided non-convex simple polygon. Non-convex means at least one interior angle is greater than 180°, but still simp...
I need to assess how likely I am to solve this problem correctly before attempting to answer. Let's break down the requirements and difficulty: 1. **Understanding the Polygon Structure:** It's an 11-sided non-convex simple polygon. Non-convex means at least one interior angle is greater than 180°, but still simp...
1,329
stop
false
true
null
null
null
60
60
false
rule_boxed
false
[]
null
false
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