uid large_stringlengths 6 43 | source large_stringclasses 10
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values | hf_id large_stringclasses 10
values | revision large_stringclasses 10
values | thinking_mode large_stringclasses 3
values | solve_idx int64 -1 -1 | sample_idx int64 0 9 | seed int64 20.3M 21.3M | prompt_text large_stringlengths 314 10.5k | template_kwargs large_stringclasses 3
values | generation_prefix large_stringclasses 2
values | prompt_tokens int64 63 4.24k | max_tokens int64 28.5k 65.4k | raw_output large_stringlengths 1 358k | output large_stringlengths 1 358k | thinking_text large_stringlengths 0 283k | content_text large_stringlengths 0 358k | completion_tokens int64 2 65.4k | finish_reason large_stringclasses 2
values | truncated bool 2
classes | thinking_closed bool 2
classes | forced_status stringclasses 2
values | forced_output stringclasses 56
values | skip_reason null | conf_raw int64 0 100 ⌀ | conf int64 0 100 ⌀ | conf_off_grid bool 2
classes | conf_extract_method large_stringclasses 2
values | pre_leak bool 2
classes | leak_reasons large_stringclasses 7
values | leak_candidate large_stringlengths 1 148k ⌀ | conf_ambiguous bool 2
classes |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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_11 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,254,358 | <|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... | {} | 654 | 64,850 | Assessment:
First, the problem involves a piecewise periodic function defined with modular arithmetic (periodicity with shift 4), interpreting a graph described verbally, and finding intersection points between a parabola (given as x in terms of y) and the piecewise function. The intersection requires solving for (x,y... | Assessment:
First, the problem involves a piecewise periodic function defined with modular arithmetic (periodicity with shift 4), interpreting a graph described verbally, and finding intersection points between a parabola (given as x in terms of y) and the piecewise function. The intersection requires solving for (x,y... | Assessment:
First, the problem involves a piecewise periodic function defined with modular arithmetic (periodicity with shift 4), interpreting a graph described verbally, and finding intersection points between a parabola (given as x in terms of y) and the piecewise function. The intersection requires solving for (x,y... | 269 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_11 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,254,359 | <|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... | {} | 654 | 64,850 | I need to assess my likelihood of solving the following problem correctly, as instructed.
**Restating the problem in my own words:**
We have a piecewise linear, sawtooth periodic function \( f(x) \) defined on \([-1,3)\) and then extended periodically with period 4. Its graph is shown. There is also a right-opening ... | I need to assess my likelihood of solving the following problem correctly, as instructed.
**Restating the problem in my own words:**
We have a piecewise linear, sawtooth periodic function \( f(x) \) defined on \([-1,3)\) and then extended periodically with period 4. Its graph is shown. There is also a right-opening ... | I need to assess my likelihood of solving the following problem correctly, as instructed.
**Restating the problem in my own words:**
We have a piecewise linear, sawtooth periodic function \( f(x) \) defined on \([-1,3)\) and then extended periodically with period 4. Its graph is shown. There is also a right-opening ... | 725 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | true | ["answer_declaration"] | to the required form and ensuring the conditions (gcd, square-free) are met is moderate but manageable (about 90% confidence) | false | ||
aime_2025_11 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,254,360 | <|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... | {} | 654 | 64,850 | Assessing the problem:
First, the problem involves a piecewise periodic sawtooth function defined with a shift and symmetry (periodicity every 4 units), and we're to find intersection points between this function and a given parabola, then compute a specific algebraic expression from the sum of the y-coordinates of t... | Assessing the problem:
First, the problem involves a piecewise periodic sawtooth function defined with a shift and symmetry (periodicity every 4 units), and we're to find intersection points between this function and a given parabola, then compute a specific algebraic expression from the sum of the y-coordinates of t... | Assessing the problem:
First, the problem involves a piecewise periodic sawtooth function defined with a shift and symmetry (periodicity every 4 units), and we're to find intersection points between this function and a given parabola, then compute a specific algebraic expression from the sum of the y-coordinates of t... | 615 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | true | ["answer_declaration"] | in simplest terms with the given constraints on the constants | 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_13 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,678,041 | <|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... | {} | 254 | 65,250 | I need to assess the difficulty and my ability to solve the following problem:
Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connecting them.... | I need to assess the difficulty and my ability to solve the following problem:
Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connecting them.... | I need to assess the difficulty and my ability to solve the following problem:
Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connecting them.... | 594 | stop | false | true | null | null | null | 50 | 50 | false | rule_boxed | false | [] | null | false | ||
aime_2025_13 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,678,042 | <|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... | {} | 254 | 65,250 | I need to assess the difficulty and my reliability in solving the following problem:
**Problem (paraphrased):**
Alex divides a disk into four quadrants using two perpendicular diameters. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connect... | I need to assess the difficulty and my reliability in solving the following problem:
**Problem (paraphrased):**
Alex divides a disk into four quadrants using two perpendicular diameters. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connect... | I need to assess the difficulty and my reliability in solving the following problem:
**Problem (paraphrased):**
Alex divides a disk into four quadrants using two perpendicular diameters. He then draws 25 more line segments, each by choosing two random points on the disk's perimeter in different quadrants and connect... | 982 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_13 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,678,043 | <|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... | {} | 254 | 65,250 | I need to assess the difficulty and my ability to solve the following problem:
**Problem Recap:**
Alex divides a disk into four quadrants with two perpendicular diameters. Then he adds 25 more line segments by choosing two random points on the perimeter (from different quadrants) and drawing the segment between them... | I need to assess the difficulty and my ability to solve the following problem:
**Problem Recap:**
Alex divides a disk into four quadrants with two perpendicular diameters. Then he adds 25 more line segments by choosing two random points on the perimeter (from different quadrants) and drawing the segment between them... | I need to assess the difficulty and my ability to solve the following problem:
**Problem Recap:**
Alex divides a disk into four quadrants with two perpendicular diameters. Then he adds 25 more line segments by choosing two random points on the perimeter (from different quadrants) and drawing the segment between them... | 1,116 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2025_14 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,001,277 | <|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... | {} | 304 | 65,200 | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Nature of the Problem:**
The problem is a geometric optimization involving a convex pentagon with specific side lengths and two given angles (60° at B and E). The objective is to minimize the sum of distances from a... | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Nature of the Problem:**
The problem is a geometric optimization involving a convex pentagon with specific side lengths and two given angles (60° at B and E). The objective is to minimize the sum of distances from a... | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Nature of the Problem:**
The problem is a geometric optimization involving a convex pentagon with specific side lengths and two given angles (60° at B and E). The objective is to minimize the sum of distances from a... | 688 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | true | ["answer_declaration"] | null | false | ||
aime_2025_14 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,001,278 | <|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... | {} | 304 | 65,200 | I assessed the problem and considered the following factors:
- The problem involves a convex pentagon with specified side lengths and two given angles (∠B and ∠E are 60°).
- The objective is to minimize the sum of distances from a point X to all five vertices, a classic "Fermat point" or geometric median problem in th... | I assessed the problem and considered the following factors:
- The problem involves a convex pentagon with specified side lengths and two given angles (∠B and ∠E are 60°).
- The objective is to minimize the sum of distances from a point X to all five vertices, a classic "Fermat point" or geometric median problem in th... | I assessed the problem and considered the following factors:
- The problem involves a convex pentagon with specified side lengths and two given angles (∠B and ∠E are 60°).
- The objective is to minimize the sum of distances from a point X to all five vertices, a classic "Fermat point" or geometric median problem in th... | 291 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_14 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,001,279 | <|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... | {} | 304 | 65,200 | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let me break down the problem and my thoughts on the required skills and steps involved.
First, the problem describes a convex pentagon with given side lengths and two specified angles (∠B and ∠E are both 60°). The... | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let me break down the problem and my thoughts on the required skills and steps involved.
First, the problem describes a convex pentagon with given side lengths and two specified angles (∠B and ∠E are both 60°). The... | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let me break down the problem and my thoughts on the required skills and steps involved.
First, the problem describes a convex pentagon with given side lengths and two specified angles (∠B and ∠E are both 60°). The... | 1,058 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | true | ["answer_declaration"] | to be expressed in a specific algebraic form and then a sum of the constants in that form | false | ||
aime_2025_15 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,972,508 | <|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... | {} | 249 | 65,255 | I will assess the problem as follows:
First, the problem involves counting the number of ordered triples \((a, b, c)\) with each component between 1 and \(3^6\) (inclusive), such that the sum of their cubes is divisible by \(3^7\). This requires understanding properties of cubes modulo powers of 3, likely using modula... | I will assess the problem as follows:
First, the problem involves counting the number of ordered triples \((a, b, c)\) with each component between 1 and \(3^6\) (inclusive), such that the sum of their cubes is divisible by \(3^7\). This requires understanding properties of cubes modulo powers of 3, likely using modula... | I will assess the problem as follows:
First, the problem involves counting the number of ordered triples \((a, b, c)\) with each component between 1 and \(3^6\) (inclusive), such that the sum of their cubes is divisible by \(3^7\). This requires understanding properties of cubes modulo powers of 3, likely using modula... | 384 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2025_15 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,972,509 | <|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... | {} | 249 | 65,255 | I assess that the problem involves several advanced number theory concepts, such as modular arithmetic (especially with powers of 3), properties of cubes modulo 3^k, and possibly generating functions or inclusion-exclusion principles. The requirement to count solutions to a cubic congruence with constraints on the size... | I assess that the problem involves several advanced number theory concepts, such as modular arithmetic (especially with powers of 3), properties of cubes modulo 3^k, and possibly generating functions or inclusion-exclusion principles. The requirement to count solutions to a cubic congruence with constraints on the size... | I assess that the problem involves several advanced number theory concepts, such as modular arithmetic (especially with powers of 3), properties of cubes modulo 3^k, and possibly generating functions or inclusion-exclusion principles. The requirement to count solutions to a cubic congruence with constraints on the size... | 270 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_15 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,972,510 | <|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... | {} | 249 | 65,255 | I assess that this problem involves several advanced steps: understanding cubic residues modulo a high power of 3, applying the Chinese Remainder Theorem or counting arguments under congruence conditions, and performing a large combinatorial count with modular constraints. The modular arithmetic with powers of 3 (espec... | I assess that this problem involves several advanced steps: understanding cubic residues modulo a high power of 3, applying the Chinese Remainder Theorem or counting arguments under congruence conditions, and performing a large combinatorial count with modular constraints. The modular arithmetic with powers of 3 (espec... | I assess that this problem involves several advanced steps: understanding cubic residues modulo a high power of 3, applying the Chinese Remainder Theorem or counting arguments under congruence conditions, and performing a large combinatorial count with modular constraints. The modular arithmetic with powers of 3 (espec... | 180 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2025_16 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,661,434 | <|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... | {} | 269 | 65,235 | To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a coordinate geometry problem involving points on a line and a point off the line, with several given distances. The goal is to find the area of a specific triangle, \(\triangle BGE\), using the provided distanc... | To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a coordinate geometry problem involving points on a line and a point off the line, with several given distances. The goal is to find the area of a specific triangle, \(\triangle BGE\), using the provided distanc... | To assess how likely I am to solve this problem correctly, I first consider the nature of the problem. It is a coordinate geometry problem involving points on a line and a point off the line, with several given distances. The goal is to find the area of a specific triangle, \(\triangle BGE\), using the provided distanc... | 618 | stop | false | true | null | null | null | 50 | 50 | false | rule_boxed | false | [] | null | false | ||
aime_2025_16 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,661,435 | <|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... | {} | 269 | 65,235 | To assess the likelihood of solving the problem correctly, I consider the following:
First, the problem involves six collinear points (A through F) in a specific order, and a point G not on the line. We are given a set of distances along the line (between certain pairs of the collinear points) and distances from G to ... | To assess the likelihood of solving the problem correctly, I consider the following:
First, the problem involves six collinear points (A through F) in a specific order, and a point G not on the line. We are given a set of distances along the line (between certain pairs of the collinear points) and distances from G to ... | To assess the likelihood of solving the problem correctly, I consider the following:
First, the problem involves six collinear points (A through F) in a specific order, and a point G not on the line. We are given a set of distances along the line (between certain pairs of the collinear points) and distances from G to ... | 814 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_16 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,661,436 | <|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... | {} | 269 | 65,235 | I need to assess how likely I am to solve the given problem correctly before providing an estimate.
First, let's break down the problem:
We have six colinear points in order: A, B, C, D, E, F. There's a point G not on the line. We're given several segment lengths along the line (AC, BD, CE, DF, AF), and two distances... | I need to assess how likely I am to solve the given problem correctly before providing an estimate.
First, let's break down the problem:
We have six colinear points in order: A, B, C, D, E, F. There's a point G not on the line. We're given several segment lengths along the line (AC, BD, CE, DF, AF), and two distances... | I need to assess how likely I am to solve the given problem correctly before providing an estimate.
First, let's break down the problem:
We have six colinear points in order: A, B, C, D, E, F. There's a point G not on the line. We're given several segment lengths along the line (AC, BD, CE, DF, AF), and two distances... | 564 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_17 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,584,667 | <|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... | {} | 210 | 65,294 | I assess the problem as follows:
The problem requires understanding divisibility conditions, manipulating algebraic expressions, and systematically testing or parameterizing possible values of \( n \). Specifically, the task is to determine all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3... | I assess the problem as follows:
The problem requires understanding divisibility conditions, manipulating algebraic expressions, and systematically testing or parameterizing possible values of \( n \). Specifically, the task is to determine all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3... | I assess the problem as follows:
The problem requires understanding divisibility conditions, manipulating algebraic expressions, and systematically testing or parameterizing possible values of \( n \). Specifically, the task is to determine all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3... | 252 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_17 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,584,668 | <|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... | {} | 210 | 65,294 | I assess the problem as follows:
The problem asks to find all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3)(n^2+9) \). To solve this, one must understand divisibility in integers, possibly manipulate the divisibility condition using algebra (such as rewriting the expression in terms of \(... | I assess the problem as follows:
The problem asks to find all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3)(n^2+9) \). To solve this, one must understand divisibility in integers, possibly manipulate the divisibility condition using algebra (such as rewriting the expression in terms of \(... | I assess the problem as follows:
The problem asks to find all positive integers \( n \) such that \( n+2 \) divides the product \( 3(n+3)(n^2+9) \). To solve this, one must understand divisibility in integers, possibly manipulate the divisibility condition using algebra (such as rewriting the expression in terms of \(... | 296 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_17 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,584,669 | <|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... | {} | 210 | 65,294 | I assess the problem as follows:
The problem asks for all positive integers \( n \) such that \( n+2 \) divides the expression \( 3(n+3)(n^2+9) \). To solve this, one must first understand divisibility in integers, likely perform modular arithmetic (reducing the product modulo \( n+2 \)), and possibly factor or manipu... | I assess the problem as follows:
The problem asks for all positive integers \( n \) such that \( n+2 \) divides the expression \( 3(n+3)(n^2+9) \). To solve this, one must first understand divisibility in integers, likely perform modular arithmetic (reducing the product modulo \( n+2 \)), and possibly factor or manipu... | I assess the problem as follows:
The problem asks for all positive integers \( n \) such that \( n+2 \) divides the expression \( 3(n+3)(n^2+9) \). To solve this, one must first understand divisibility in integers, likely perform modular arithmetic (reducing the product modulo \( n+2 \)), and possibly factor or manipu... | 276 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_18 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,714,867 | <|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... | {} | 443 | 65,061 | I need to assess the likelihood of solving this problem correctly before actually attempting it.
Let me break down the problem and the required skills:
**Understanding the Problem:**
- We have a 2×2 grid of unit squares (so 4 squares total).
- Each of the 12 unit edges (each side of the small squares) is colored eit... | I need to assess the likelihood of solving this problem correctly before actually attempting it.
Let me break down the problem and the required skills:
**Understanding the Problem:**
- We have a 2×2 grid of unit squares (so 4 squares total).
- Each of the 12 unit edges (each side of the small squares) is colored eit... | I need to assess the likelihood of solving this problem correctly before actually attempting it.
Let me break down the problem and the required skills:
**Understanding the Problem:**
- We have a 2×2 grid of unit squares (so 4 squares total).
- Each of the 12 unit edges (each side of the small squares) is colored eit... | 746 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_18 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,714,868 | <|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... | {} | 443 | 65,061 | To assess the likelihood of solving this problem correctly, I consider the following:
1. **Problem Nature:**
The problem is a combinatorial counting problem involving coloring the edges of a 2×2 grid of unit squares under specific constraints. Each square must have exactly two red and two blue edges. The grid has... | To assess the likelihood of solving this problem correctly, I consider the following:
1. **Problem Nature:**
The problem is a combinatorial counting problem involving coloring the edges of a 2×2 grid of unit squares under specific constraints. Each square must have exactly two red and two blue edges. The grid has... | To assess the likelihood of solving this problem correctly, I consider the following:
1. **Problem Nature:**
The problem is a combinatorial counting problem involving coloring the edges of a 2×2 grid of unit squares under specific constraints. Each square must have exactly two red and two blue edges. The grid has... | 512 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_18 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,714,869 | <|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... | {} | 443 | 65,061 | I need to assess the difficulty and my likelihood of solving the following problem correctly, without actually solving it.
The problem is about counting the number of ways to color the edges of a 2×2 grid of unit squares (12 edges total) such that each square has exactly two red and two blue edges. Each edge is colore... | I need to assess the difficulty and my likelihood of solving the following problem correctly, without actually solving it.
The problem is about counting the number of ways to color the edges of a 2×2 grid of unit squares (12 edges total) such that each square has exactly two red and two blue edges. Each edge is colore... | I need to assess the difficulty and my likelihood of solving the following problem correctly, without actually solving it.
The problem is about counting the number of ways to color the edges of a 2×2 grid of unit squares (12 edges total) such that each square has exactly two red and two blue edges. Each edge is colore... | 651 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | true | ["answer_declaration"] | a reasonably sized integer, probably not huge (maybe in the hundreds or low thousands) | 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_2 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,020,659 | <|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... | {} | 781 | 64,723 | I assess the problem as follows:
The problem involves coordinate geometry, reflections, and area computation for a complex polygon (a heptagon) based on information about points placed along two sides of a triangle and a given area for a quadrilateral. The steps required include:
1. Assigning coordinates to the trian... | I assess the problem as follows:
The problem involves coordinate geometry, reflections, and area computation for a complex polygon (a heptagon) based on information about points placed along two sides of a triangle and a given area for a quadrilateral. The steps required include:
1. Assigning coordinates to the trian... | I assess the problem as follows:
The problem involves coordinate geometry, reflections, and area computation for a complex polygon (a heptagon) based on information about points placed along two sides of a triangle and a given area for a quadrilateral. The steps required include:
1. Assigning coordinates to the trian... | 311 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_2 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,020,660 | <|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... | {} | 781 | 64,723 | I've assessed the problem. It involves coordinate geometry (placing points on lines based on given segment lengths), reflections (which require computation of mirrored points), determining areas (likely using the shoelace formula or determinants), and then computing the area of a specific polygon (heptagon) within the ... | I've assessed the problem. It involves coordinate geometry (placing points on lines based on given segment lengths), reflections (which require computation of mirrored points), determining areas (likely using the shoelace formula or determinants), and then computing the area of a specific polygon (heptagon) within the ... | I've assessed the problem. It involves coordinate geometry (placing points on lines based on given segment lengths), reflections (which require computation of mirrored points), determining areas (likely using the shoelace formula or determinants), and then computing the area of a specific polygon (heptagon) within the ... | 179 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_2 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,020,661 | <|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... | {} | 781 | 64,723 | I assessed the problem and considered the required concepts: coordinate geometry (placing points on lines), reflections (which involve vector calculations), area calculations (possibly using coordinates or ratios), and subtracting areas within polygons. The problem provides specific lengths along the sides of a triangl... | I assessed the problem and considered the required concepts: coordinate geometry (placing points on lines), reflections (which involve vector calculations), area calculations (possibly using coordinates or ratios), and subtracting areas within polygons. The problem provides specific lengths along the sides of a triangl... | I assessed the problem and considered the required concepts: coordinate geometry (placing points on lines), reflections (which involve vector calculations), area calculations (possibly using coordinates or ratios), and subtracting areas within polygons. The problem provides specific lengths along the sides of a triangl... | 202 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_20 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,887,566 | <|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... | {} | 773 | 64,731 | To assess the likelihood of solving the given problem correctly, I considered the following:
1. **Problem Structure and Requirements:**
- The problem involves a triangle with given angles, construction of midpoints, and circumcircles.
- It requires understanding of triangle geometry, properties of midlines and m... | To assess the likelihood of solving the given problem correctly, I considered the following:
1. **Problem Structure and Requirements:**
- The problem involves a triangle with given angles, construction of midpoints, and circumcircles.
- It requires understanding of triangle geometry, properties of midlines and m... | To assess the likelihood of solving the given problem correctly, I considered the following:
1. **Problem Structure and Requirements:**
- The problem involves a triangle with given angles, construction of midpoints, and circumcircles.
- It requires understanding of triangle geometry, properties of midlines and m... | 682 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_20 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,887,567 | <|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... | {} | 773 | 64,731 | I will assess the problem as follows:
First, the problem involves triangle geometry with given angles (84°, 60°, 36°), midpoints, circumcircles, and arc measurements. It requires understanding of triangle properties, coordinate or synthetic geometry, circumcircle theorems (especially those relating to midpoints and ni... | I will assess the problem as follows:
First, the problem involves triangle geometry with given angles (84°, 60°, 36°), midpoints, circumcircles, and arc measurements. It requires understanding of triangle properties, coordinate or synthetic geometry, circumcircle theorems (especially those relating to midpoints and ni... | I will assess the problem as follows:
First, the problem involves triangle geometry with given angles (84°, 60°, 36°), midpoints, circumcircles, and arc measurements. It requires understanding of triangle properties, coordinate or synthetic geometry, circumcircle theorems (especially those relating to midpoints and ni... | 327 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_20 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,887,568 | <|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... | {} | 773 | 64,731 | I need to assess the difficulty and my likelihood of solving the given geometry problem correctly before providing an estimate.
**Analysis:**
1. **Problem Type:**
This is a synthetic geometry problem involving triangle centers (midpoints), a circumcircle of the medial triangle (DEF), intersections of that circle... | I need to assess the difficulty and my likelihood of solving the given geometry problem correctly before providing an estimate.
**Analysis:**
1. **Problem Type:**
This is a synthetic geometry problem involving triangle centers (midpoints), a circumcircle of the medial triangle (DEF), intersections of that circle... | I need to assess the difficulty and my likelihood of solving the given geometry problem correctly before providing an estimate.
**Analysis:**
1. **Problem Type:**
This is a synthetic geometry problem involving triangle centers (midpoints), a circumcircle of the medial triangle (DEF), intersections of that circle... | 693 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_21 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,111,535 | <|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... | {} | 920 | 64,584 | I assessed the problem and considered its requirements: understanding and applying circle tangency, coordinate geometry, rectangle inscribed in a circle, area calculations, and conditions based on perpendicularity and relative positions. The problem involves synthesizing several geometric concepts and translating geome... | I assessed the problem and considered its requirements: understanding and applying circle tangency, coordinate geometry, rectangle inscribed in a circle, area calculations, and conditions based on perpendicularity and relative positions. The problem involves synthesizing several geometric concepts and translating geome... | I assessed the problem and considered its requirements: understanding and applying circle tangency, coordinate geometry, rectangle inscribed in a circle, area calculations, and conditions based on perpendicularity and relative positions. The problem involves synthesizing several geometric concepts and translating geome... | 163 | stop | false | true | null | null | null | 50 | 50 | false | rule_boxed | false | [] | null | false | ||
aime_2025_21 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,111,536 | <|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... | {} | 920 | 64,584 | I have read and considered the problem carefully. The problem involves several geometric constructions with circles, tangency, diameters, perpendicular lines, rectangles inscribed in circles, area comparisons of triangles, and rational fraction answers. It requires a strong grasp of analytic geometry, coordinate geomet... | I have read and considered the problem carefully. The problem involves several geometric constructions with circles, tangency, diameters, perpendicular lines, rectangles inscribed in circles, area comparisons of triangles, and rational fraction answers. It requires a strong grasp of analytic geometry, coordinate geomet... | I have read and considered the problem carefully. The problem involves several geometric constructions with circles, tangency, diameters, perpendicular lines, rectangles inscribed in circles, area comparisons of triangles, and rational fraction answers. It requires a strong grasp of analytic geometry, coordinate geomet... | 248 | stop | false | true | null | null | null | 25 | 30 | true | rule_boxed | false | [] | null | false | ||
aime_2025_21 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,111,537 | <|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... | {} | 920 | 64,584 | I will assess the problem as requested.
First, let's break down the requirements of the problem:
- **Geometry Setup:** There are two circles, ω₁ (radius 6) and ω₂ (radius 15), with internal tangency at point B. Their centers and tangency conditions need to be analyzed.
- **Key Points:** Points C and D are defined rel... | I will assess the problem as requested.
First, let's break down the requirements of the problem:
- **Geometry Setup:** There are two circles, ω₁ (radius 6) and ω₂ (radius 15), with internal tangency at point B. Their centers and tangency conditions need to be analyzed.
- **Key Points:** Points C and D are defined rel... | I will assess the problem as requested.
First, let's break down the requirements of the problem:
- **Geometry Setup:** There are two circles, ω₁ (radius 6) and ω₂ (radius 15), with internal tangency at point B. Their centers and tangency conditions need to be analyzed.
- **Key Points:** Points C and D are defined rel... | 862 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_22 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,988,305 | <|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... | {} | 263 | 65,241 | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
First, let's break down the problem:
We are given the number 2025, and we must consider all its positive integer divisors (set A). We then randomly select a nonempty subset B of A. We are to compute ... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
First, let's break down the problem:
We are given the number 2025, and we must consider all its positive integer divisors (set A). We then randomly select a nonempty subset B of A. We are to compute ... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
First, let's break down the problem:
We are given the number 2025, and we must consider all its positive integer divisors (set A). We then randomly select a nonempty subset B of A. We are to compute ... | 663 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | true | ["answer_declaration"] | to be expressed as a reduced fraction m/n and we must find m + n | false | ||
aime_2025_22 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,988,306 | <|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... | {} | 263 | 65,241 | I need to assess the difficulty and my likelihood of solving the following problem correctly, and then give an estimated percentage (as a box) of my 10 independent attempts that would succeed.
**Problem Restatement (paraphrased):**
Let \( A \) be the set of all positive integer divisors of 2025. Let \( B \) be a rando... | I need to assess the difficulty and my likelihood of solving the following problem correctly, and then give an estimated percentage (as a box) of my 10 independent attempts that would succeed.
**Problem Restatement (paraphrased):**
Let \( A \) be the set of all positive integer divisors of 2025. Let \( B \) be a rando... | I need to assess the difficulty and my likelihood of solving the following problem correctly, and then give an estimated percentage (as a box) of my 10 independent attempts that would succeed.
**Problem Restatement (paraphrased):**
Let \( A \) be the set of all positive integer divisors of 2025. Let \( B \) be a rando... | 1,192 | stop | false | true | null | null | null | 75 | 80 | true | rule_boxed | false | [] | null | false | ||
aime_2025_22 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,988,307 | <|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... | {} | 263 | 65,241 | I need to assess how likely I am to solve the following problem correctly before providing my estimate.
The problem asks for the probability that a randomly selected nonempty subset B of the set A (which consists of the positive divisors of 2025) has least common multiple equal to 2025. The answer should be expressed ... | I need to assess how likely I am to solve the following problem correctly before providing my estimate.
The problem asks for the probability that a randomly selected nonempty subset B of the set A (which consists of the positive divisors of 2025) has least common multiple equal to 2025. The answer should be expressed ... | I need to assess how likely I am to solve the following problem correctly before providing my estimate.
The problem asks for the probability that a randomly selected nonempty subset B of the set A (which consists of the positive divisors of 2025) has least common multiple equal to 2025. The answer should be expressed ... | 585 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | true | ["answer_declaration"] | expressed as a reduced fraction m/n, and we are to find m + n | false | ||
aime_2025_23 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,746,672 | <|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... | {} | 458 | 65,046 | I assess the problem as follows:
The problem requires understanding the greedy algorithm for making change with coins of denominations 1, 10, and 25 cents. Specifically, it asks for how many amounts N between 1 and 1000 the greedy choice (always taking the largest possible coin first) yields the minimum number of coin... | I assess the problem as follows:
The problem requires understanding the greedy algorithm for making change with coins of denominations 1, 10, and 25 cents. Specifically, it asks for how many amounts N between 1 and 1000 the greedy choice (always taking the largest possible coin first) yields the minimum number of coin... | I assess the problem as follows:
The problem requires understanding the greedy algorithm for making change with coins of denominations 1, 10, and 25 cents. Specifically, it asks for how many amounts N between 1 and 1000 the greedy choice (always taking the largest possible coin first) yields the minimum number of coin... | 483 | stop | false | true | attempted | 90 | null | 90 | 90 | false | forced | true | ["boxed"] | 1000 | false | ||
aime_2025_23 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,746,673 | <|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... | {} | 458 | 65,046 | I need to assess the difficulty and my likelihood of solving the problem correctly before providing an estimate.
First, let's break down the problem:
We are dealing with making change for amounts from 1 to 1000 cents using 1¢, 10¢, and 25¢ coins, using the greedy algorithm (always pick the largest coin possible at e... | I need to assess the difficulty and my likelihood of solving the problem correctly before providing an estimate.
First, let's break down the problem:
We are dealing with making change for amounts from 1 to 1000 cents using 1¢, 10¢, and 25¢ coins, using the greedy algorithm (always pick the largest coin possible at e... | I need to assess the difficulty and my likelihood of solving the problem correctly before providing an estimate.
First, let's break down the problem:
We are dealing with making change for amounts from 1 to 1000 cents using 1¢, 10¢, and 25¢ coins, using the greedy algorithm (always pick the largest coin possible at e... | 1,083 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_23 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,746,674 | <|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... | {} | 458 | 65,046 | I need to assess the likelihood that I would solve the given math problem correctly. Let's break down the reasoning:
### 1. **Understanding the Problem**
The problem involves the **greedy algorithm** for making change using coins of denominations 1, 10, and 25 cents. The question asks: For how many values of N from 1 ... | I need to assess the likelihood that I would solve the given math problem correctly. Let's break down the reasoning:
### 1. **Understanding the Problem**
The problem involves the **greedy algorithm** for making change using coins of denominations 1, 10, and 25 cents. The question asks: For how many values of N from 1 ... | I need to assess the likelihood that I would solve the given math problem correctly. Let's break down the reasoning:
### 1. **Understanding the Problem**
The problem involves the **greedy algorithm** for making change using coins of denominations 1, 10, and 25 cents. The question asks: For how many values of N from 1 ... | 1,800 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | true | ["answer_declaration"] | less than 1000, I might lean towards estimating 90%? Or maybe 80% | false | ||
aime_2025_24 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,178,452 | <|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... | {} | 267 | 65,237 | I need to assess how likely I am to solve this problem correctly before giving an estimate.
First, let's break down what the problem is asking. It involves a trigonometric function, \( f(x) = \sin(7\pi \cdot \sin(5x)) \), and we are to find the number of solutions \( n \) to \( f(x) = 0 \) in the open interval \( 0 < ... | I need to assess how likely I am to solve this problem correctly before giving an estimate.
First, let's break down what the problem is asking. It involves a trigonometric function, \( f(x) = \sin(7\pi \cdot \sin(5x)) \), and we are to find the number of solutions \( n \) to \( f(x) = 0 \) in the open interval \( 0 < ... | I need to assess how likely I am to solve this problem correctly before giving an estimate.
First, let's break down what the problem is asking. It involves a trigonometric function, \( f(x) = \sin(7\pi \cdot \sin(5x)) \), and we are to find the number of solutions \( n \) to \( f(x) = 0 \) in the open interval \( 0 < ... | 1,281 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_24 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,178,453 | <|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... | {} | 267 | 65,237 | I will assess the problem step by step before giving my final estimate.
**Step 1: Understanding the problem**
We are given the function:
\[ f(x) = \sin(7\pi \cdot \sin(5x)) \]
and we are to find the number of solutions \( n \) to the equation \( f(x) = 0 \) in the open interval \( 0 < x < 2\pi \). Then, among those s... | I will assess the problem step by step before giving my final estimate.
**Step 1: Understanding the problem**
We are given the function:
\[ f(x) = \sin(7\pi \cdot \sin(5x)) \]
and we are to find the number of solutions \( n \) to the equation \( f(x) = 0 \) in the open interval \( 0 < x < 2\pi \). Then, among those s... | I will assess the problem step by step before giving my final estimate.
**Step 1: Understanding the problem**
We are given the function:
\[ f(x) = \sin(7\pi \cdot \sin(5x)) \]
and we are to find the number of solutions \( n \) to the equation \( f(x) = 0 \) in the open interval \( 0 < x < 2\pi \). Then, among those s... | 4,891 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | true | ["boxed", "answer_declaration"] | 70 | false | ||
aime_2025_24 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,178,454 | <|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... | {} | 267 | 65,237 | I need to assess the likelihood that I would solve this problem correctly before providing an estimate.
Let's break down the problem:
1. **Understanding the equation:**
We have \( f(x) = \sin(7\pi \cdot \sin(5x)) \). We are to find the number of solutions \( x \) in the open interval \( 0 < x < 2\pi \) where \( ... | I need to assess the likelihood that I would solve this problem correctly before providing an estimate.
Let's break down the problem:
1. **Understanding the equation:**
We have \( f(x) = \sin(7\pi \cdot \sin(5x)) \). We are to find the number of solutions \( x \) in the open interval \( 0 < x < 2\pi \) where \( ... | I need to assess the likelihood that I would solve this problem correctly before providing an estimate.
Let's break down the problem:
1. **Understanding the equation:**
We have \( f(x) = \sin(7\pi \cdot \sin(5x)) \). We are to find the number of solutions \( x \) in the open interval \( 0 < x < 2\pi \) where \( ... | 2,327 | stop | false | true | null | null | null | 30 | 30 | 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_26 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,467,667 | <|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... | {} | 230 | 65,274 | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is:
Let \( S \) be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal length so that each vertex in \( S \) is an endpoint of exactly one of the 12 segments.
... | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is:
Let \( S \) be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal length so that each vertex in \( S \) is an endpoint of exactly one of the 12 segments.
... | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is:
Let \( S \) be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal length so that each vertex in \( S \) is an endpoint of exactly one of the 12 segments.
... | 3,186 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | true | ["boxed", "answer_declaration"] | 70 | false | ||
aime_2025_26 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,467,668 | <|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... | {} | 230 | 65,274 | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is: Given a regular 24-gon, consider the set of its 24 vertices. We are to find the number of ways to draw 12 segments of equal length such that each vertex is an endpoint of exactly one segment.
First,... | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is: Given a regular 24-gon, consider the set of its 24 vertices. We are to find the number of ways to draw 12 segments of equal length such that each vertex is an endpoint of exactly one segment.
First,... | I need to assess how likely I am to solve the following problem correctly, without actually solving it.
The problem is: Given a regular 24-gon, consider the set of its 24 vertices. We are to find the number of ways to draw 12 segments of equal length such that each vertex is an endpoint of exactly one segment.
First,... |
To assess the likelihood of solving the given problem correctly, we need to consider the complexity and required techniques. The problem involves finding the number of ways to draw 12 equal-length segments in a regular 24-gon such that each vertex is an endpoint of exactly one segment. This requires understanding com... | 11,603 | stop | false | true | attempted | 50 | null | 50 | 50 | false | forced | true | ["boxed", "answer_declaration", "candidate_matches_gold"] | 113 | false | |
aime_2025_26 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,467,669 | <|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... | {} | 230 | 65,274 | To assess the likelihood of solving the given problem correctly, I consider the following:
**1. Problem Analysis:**
- We are given a regular 24-gon, so all vertices lie on a circle, and all edges (sides) are equal, but the problem refers to "segments of equal lengths"—likely meaning all 12 segments have the same lengt... | To assess the likelihood of solving the given problem correctly, I consider the following:
**1. Problem Analysis:**
- We are given a regular 24-gon, so all vertices lie on a circle, and all edges (sides) are equal, but the problem refers to "segments of equal lengths"—likely meaning all 12 segments have the same lengt... | To assess the likelihood of solving the given problem correctly, I consider the following:
**1. Problem Analysis:**
- We are given a regular 24-gon, so all vertices lie on a circle, and all edges (sides) are equal, but the problem refers to "segments of equal lengths"—likely meaning all 12 segments have the same lengt... | 843 | 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 | 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 | ||
aime_2025_27 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,254,132 | <|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 | To assess the likelihood that I would solve this problem correctly, I consider the following:
1. **Problem Complexity and Requirements:**
- The problem involves a non-convex 11-sided polygon with specific area and angle conditions for each triangle formed with vertex \( A_1 \).
- For each \( i \), both the area ... | To assess the likelihood that I would solve this problem correctly, I consider the following:
1. **Problem Complexity and Requirements:**
- The problem involves a non-convex 11-sided polygon with specific area and angle conditions for each triangle formed with vertex \( A_1 \).
- For each \( i \), both the area ... | To assess the likelihood that I would solve this problem correctly, I consider the following:
1. **Problem Complexity and Requirements:**
- The problem involves a non-convex 11-sided polygon with specific area and angle conditions for each triangle formed with vertex \( A_1 \).
- For each \( i \), both the area ... | 904 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2025_28 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,600,602 | <|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... | {} | 310 | 65,194 | I assess the problem as follows:
The sequence is defined recursively with a non-linear transformation: each term is the average of \( x_k \), \( \frac{1}{x_k} \), and \(-1\) (but weighted differently). The recurrence resembles the Newton-Raphson method for finding square roots, specifically for solving equations of th... | I assess the problem as follows:
The sequence is defined recursively with a non-linear transformation: each term is the average of \( x_k \), \( \frac{1}{x_k} \), and \(-1\) (but weighted differently). The recurrence resembles the Newton-Raphson method for finding square roots, specifically for solving equations of th... | I assess the problem as follows:
The sequence is defined recursively with a non-linear transformation: each term is the average of \( x_k \), \( \frac{1}{x_k} \), and \(-1\) (but weighted differently). The recurrence resembles the Newton-Raphson method for finding square roots, specifically for solving equations of th... | 838 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_28 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,600,603 | <|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... | {} | 310 | 65,194 | I assess the problem as follows:
The problem presents a recursively defined sequence of rational numbers, starting from a given fraction. The recursion is non-linear due to the term \( \frac{1}{x_k} \), which can make closed-form analysis or direct computation difficult. The question asks for the value of the 2025th t... | I assess the problem as follows:
The problem presents a recursively defined sequence of rational numbers, starting from a given fraction. The recursion is non-linear due to the term \( \frac{1}{x_k} \), which can make closed-form analysis or direct computation difficult. The question asks for the value of the 2025th t... | I assess the problem as follows:
The problem presents a recursively defined sequence of rational numbers, starting from a given fraction. The recursion is non-linear due to the term \( \frac{1}{x_k} \), which can make closed-form analysis or direct computation difficult. The question asks for the value of the 2025th t... | 313 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_28 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,600,604 | <|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... | {} | 310 | 65,194 | I need to assess my likelihood of solving the given problem correctly before providing an estimate. Let's break down the problem and my reasoning.
**Restating the Problem:**
We have a recursively defined sequence of rational numbers:
- \( x_1 = \frac{25}{11} \)
- For \( k \geq 1 \), \( x_{k+1} = \frac{1}{3}\left(x_k +... | I need to assess my likelihood of solving the given problem correctly before providing an estimate. Let's break down the problem and my reasoning.
**Restating the Problem:**
We have a recursively defined sequence of rational numbers:
- \( x_1 = \frac{25}{11} \)
- For \( k \geq 1 \), \( x_{k+1} = \frac{1}{3}\left(x_k +... | I need to assess my likelihood of solving the given problem correctly before providing an estimate. Let's break down the problem and my reasoning.
**Restating the Problem:**
We have a recursively defined sequence of rational numbers:
- \( x_1 = \frac{25}{11} \)
- For \( k \geq 1 \), \( x_{k+1} = \frac{1}{3}\left(x_k +... | 2,884 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | true | ["answer_declaration"] | 40 | false | ||
aime_2025_29 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,404,603 | <|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... | {} | 266 | 65,238 | I need to assess how likely I am to solve the following geometry problem correctly, without actually solving it. Here’s my analysis:
**Restating the problem (paraphrased):**
We have a right triangle ABC with a right angle at A and hypotenuse BC = 38. There are two points, K and L, inside the triangle such that AK = AL... | I need to assess how likely I am to solve the following geometry problem correctly, without actually solving it. Here’s my analysis:
**Restating the problem (paraphrased):**
We have a right triangle ABC with a right angle at A and hypotenuse BC = 38. There are two points, K and L, inside the triangle such that AK = AL... | I need to assess how likely I am to solve the following geometry problem correctly, without actually solving it. Here’s my analysis:
**Restating the problem (paraphrased):**
We have a right triangle ABC with a right angle at A and hypotenuse BC = 38. There are two points, K and L, inside the triangle such that AK = AL... | 784 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | true | ["answer_declaration"] | in the form n√3 and extracting the integer n | false | ||
aime_2025_29 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,404,604 | <|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... | {} | 266 | 65,238 | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem is a geometry problem involving a right triangle with specific lengths and points inside it with equal distances. The configuration described (AK = AL = BK = CL = KL = 14) suggests a highly symmetric arrangement of... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem is a geometry problem involving a right triangle with specific lengths and points inside it with equal distances. The configuration described (AK = AL = BK = CL = KL = 14) suggests a highly symmetric arrangement of... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem is a geometry problem involving a right triangle with specific lengths and points inside it with equal distances. The configuration described (AK = AL = BK = CL = KL = 14) suggests a highly symmetric arrangement of... | 549 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_29 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,404,605 | <|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... | {} | 266 | 65,238 | I will assess the problem as requested.
First, the problem presents a geometry question involving a right triangle with given side and point constraints. The goal is to find the area of a specific quadrilateral using the given data and expressing it in a particular form. Key steps likely include:
1. Interpreting and ... | I will assess the problem as requested.
First, the problem presents a geometry question involving a right triangle with given side and point constraints. The goal is to find the area of a specific quadrilateral using the given data and expressing it in a particular form. Key steps likely include:
1. Interpreting and ... | I will assess the problem as requested.
First, the problem presents a geometry question involving a right triangle with given side and point constraints. The goal is to find the area of a specific quadrilateral using the given data and expressing it in a particular form. Key steps likely include:
1. Interpreting and ... | 310 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_3 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,710,226 | <|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 will assess the problem as requested, thinking through the required steps, the difficulty, and my reliability in executing them, before giving an estimate for the likelihood of solving it correctly.
**Step-by-step analysis:**
1. **Understanding the Problem:**
- There are 9 players, each choosing one of 3 ice cre... | I will assess the problem as requested, thinking through the required steps, the difficulty, and my reliability in executing them, before giving an estimate for the likelihood of solving it correctly.
**Step-by-step analysis:**
1. **Understanding the Problem:**
- There are 9 players, each choosing one of 3 ice cre... | I will assess the problem as requested, thinking through the required steps, the difficulty, and my reliability in executing them, before giving an estimate for the likelihood of solving it correctly.
**Step-by-step analysis:**
1. **Understanding the Problem:**
- There are 9 players, each choosing one of 3 ice cre... | 750 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2025_3 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,710,227 | <|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 my ability to solve the given problem before providing an estimate.
First, let's break down the problem:
- There are 9 players, each choosing one of 3 ice cream flavors: chocolate (C), vanilla (V), strawberry (S).
- Each flavor is chosen by at least one player (so no flavor is left out).
- The counts... | I need to assess my ability to solve the given problem before providing an estimate.
First, let's break down the problem:
- There are 9 players, each choosing one of 3 ice cream flavors: chocolate (C), vanilla (V), strawberry (S).
- Each flavor is chosen by at least one player (so no flavor is left out).
- The counts... | I need to assess my ability to solve the given problem before providing an estimate.
First, let's break down the problem:
- There are 9 players, each choosing one of 3 ice cream flavors: chocolate (C), vanilla (V), strawberry (S).
- Each flavor is chosen by at least one player (so no flavor is left out).
- The counts... | 523 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_3 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,710,228 | <|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 how likely I am to solve the following problem correctly, without actually solving it. I'll break down the reasoning required, the difficulty, and my confidence in each step.
First, the problem involves combinatorics, specifically counting the number of ways to assign ice cream flavors to 9 players un... | I need to assess how likely I am to solve the following problem correctly, without actually solving it. I'll break down the reasoning required, the difficulty, and my confidence in each step.
First, the problem involves combinatorics, specifically counting the number of ways to assign ice cream flavors to 9 players un... | I need to assess how likely I am to solve the following problem correctly, without actually solving it. I'll break down the reasoning required, the difficulty, and my confidence in each step.
First, the problem involves combinatorics, specifically counting the number of ways to assign ice cream flavors to 9 players un... | 735 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_30 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,558,310 | <|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... | {} | 254 | 65,250 | I need to assess how likely I am to solve the following problem correctly, then give my estimated success rate as a percentage in a box.
**Problem Recap (paraphrased):**
Given the function
$$
f(x) = \frac{(x - 18)(x - 72)(x - 98)(x - k)}{x},
$$
defined for positive real numbers \( x \), there are exactly three positiv... | I need to assess how likely I am to solve the following problem correctly, then give my estimated success rate as a percentage in a box.
**Problem Recap (paraphrased):**
Given the function
$$
f(x) = \frac{(x - 18)(x - 72)(x - 98)(x - k)}{x},
$$
defined for positive real numbers \( x \), there are exactly three positiv... | I need to assess how likely I am to solve the following problem correctly, then give my estimated success rate as a percentage in a box.
**Problem Recap (paraphrased):**
Given the function
$$
f(x) = \frac{(x - 18)(x - 72)(x - 98)(x - k)}{x},
$$
defined for positive real numbers \( x \), there are exactly three positiv... | 1,315 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_30 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,558,311 | <|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... | {} | 254 | 65,250 | I will assess the problem as follows:
First, the problem involves a rational function \( f(x) \) with several parameters, specifically the variable \( k \), and the task is to determine for which values of \( k \) the function attains its minimum at exactly two distinct positive real numbers \( x \). To approach this,... | I will assess the problem as follows:
First, the problem involves a rational function \( f(x) \) with several parameters, specifically the variable \( k \), and the task is to determine for which values of \( k \) the function attains its minimum at exactly two distinct positive real numbers \( x \). To approach this,... | I will assess the problem as follows:
First, the problem involves a rational function \( f(x) \) with several parameters, specifically the variable \( k \), and the task is to determine for which values of \( k \) the function attains its minimum at exactly two distinct positive real numbers \( x \). To approach this,... | 719 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_30 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,558,312 | <|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... | {} | 254 | 65,250 | I need to assess the difficulty and my likelihood of solving the following problem correctly before providing an estimate for the percentage of successful attempts if I tried it 10 times independently.
**Restating the Problem (paraphrased for assessment):**
We have the function
\[
f(x) = \frac{(x - 18)(x - 72)(x - ... | I need to assess the difficulty and my likelihood of solving the following problem correctly before providing an estimate for the percentage of successful attempts if I tried it 10 times independently.
**Restating the Problem (paraphrased for assessment):**
We have the function
\[
f(x) = \frac{(x - 18)(x - 72)(x - ... | I need to assess the difficulty and my likelihood of solving the following problem correctly before providing an estimate for the percentage of successful attempts if I tried it 10 times independently.
**Restating the Problem (paraphrased for assessment):**
We have the function
\[
f(x) = \frac{(x - 18)(x - 72)(x - ... | 1,342 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_4 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,336,366 | <|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... | {} | 227 | 65,277 | I need to assess the likelihood that I would solve the given problem correctly if I attempted it 10 times independently. Let me break down the reasoning:
### 1. **Understanding the Problem**
The problem asks for the number of integer ordered pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that the ... | I need to assess the likelihood that I would solve the given problem correctly if I attempted it 10 times independently. Let me break down the reasoning:
### 1. **Understanding the Problem**
The problem asks for the number of integer ordered pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that the ... | I need to assess the likelihood that I would solve the given problem correctly if I attempted it 10 times independently. Let me break down the reasoning:
### 1. **Understanding the Problem**
The problem asks for the number of integer ordered pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that the ... | 804 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_4 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,336,367 | <|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... | {} | 227 | 65,277 | I need to assess how likely I am to solve the given problem correctly before providing my estimate. Let's break down the problem and the required steps.
### Problem Restatement
We are to find the number of ordered integer pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that:
\[
12x^2 - xy - 6y^2 = 0... | I need to assess how likely I am to solve the given problem correctly before providing my estimate. Let's break down the problem and the required steps.
### Problem Restatement
We are to find the number of ordered integer pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that:
\[
12x^2 - xy - 6y^2 = 0... | I need to assess how likely I am to solve the given problem correctly before providing my estimate. Let's break down the problem and the required steps.
### Problem Restatement
We are to find the number of ordered integer pairs \((x, y)\) with both \(x\) and \(y\) in \([-100, 100]\) such that:
\[
12x^2 - xy - 6y^2 = 0... | 925 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_4 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,336,368 | <|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... | {} | 227 | 65,277 | I assess that this problem involves recognizing a quadratic form, potentially factoring the equation, analyzing integer solutions under a constraint, and counting lattice points within a bounded region. The equation \(12x^2 - xy - 6y^2 = 0\) is homogeneous and symmetric in a nontrivial way. Factoring or diagonalizing t... | I assess that this problem involves recognizing a quadratic form, potentially factoring the equation, analyzing integer solutions under a constraint, and counting lattice points within a bounded region. The equation \(12x^2 - xy - 6y^2 = 0\) is homogeneous and symmetric in a nontrivial way. Factoring or diagonalizing t... | I assess that this problem involves recognizing a quadratic form, potentially factoring the equation, analyzing integer solutions under a constraint, and counting lattice points within a bounded region. The equation \(12x^2 - xy - 6y^2 = 0\) is homogeneous and symmetric in a nontrivial way. Factoring or diagonalizing t... | 176 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_5 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,165,775 | <|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... | {} | 249 | 65,255 | I need to assess how likely I am to solve this problem correctly before proceeding to give an estimate. Let me break down the problem and my reasoning.
First, the problem is about counting permutations of the digits 1 through 8 that form numbers divisible by 22, then taking the difference between that count and 2025.
... | I need to assess how likely I am to solve this problem correctly before proceeding to give an estimate. Let me break down the problem and my reasoning.
First, the problem is about counting permutations of the digits 1 through 8 that form numbers divisible by 22, then taking the difference between that count and 2025.
... | I need to assess how likely I am to solve this problem correctly before proceeding to give an estimate. Let me break down the problem and my reasoning.
First, the problem is about counting permutations of the digits 1 through 8 that form numbers divisible by 22, then taking the difference between that count and 2025.
... | 1,516 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | true | ["answer_declaration"] | null | false | ||
aime_2025_5 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,165,776 | <|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... | {} | 249 | 65,255 | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves counting permutations of the digits 1 through 8 with additional divisibility constraints (specifically, by 22). Divisibility by 22 means the number must be divisible by both 2 and 11.
**Concepts and Techn... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves counting permutations of the digits 1 through 8 with additional divisibility constraints (specifically, by 22). Divisibility by 22 means the number must be divisible by both 2 and 11.
**Concepts and Techn... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves counting permutations of the digits 1 through 8 with additional divisibility constraints (specifically, by 22). Divisibility by 22 means the number must be divisible by both 2 and 11.
**Concepts and Techn... | 696 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_5 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,165,777 | <|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... | {} | 249 | 65,255 | To assess how likely I am to solve this problem correctly, I will break it down into its required components and analyze the difficulty and reliability of each step.
**Step 1: Understanding the Problem Statement**
- We are given the set of all 8-digit numbers using each of the digits 1 through 8 exactly once (i.e., al... | To assess how likely I am to solve this problem correctly, I will break it down into its required components and analyze the difficulty and reliability of each step.
**Step 1: Understanding the Problem Statement**
- We are given the set of all 8-digit numbers using each of the digits 1 through 8 exactly once (i.e., al... | To assess how likely I am to solve this problem correctly, I will break it down into its required components and analyze the difficulty and reliability of each step.
**Step 1: Understanding the Problem Statement**
- We are given the set of all 8-digit numbers using each of the digits 1 through 8 exactly once (i.e., al... | 925 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_6 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,484,785 | <|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... | {} | 257 | 65,247 | I need to assess the difficulty and my likelihood of solving the following problem correctly before attempting to answer it numerically.
The problem states:
An isosceles trapezoid has an inscribed circle (tangent to all four sides). The radius of the circle is 3, and the area of the trapezoid is 72. The parallel side... | I need to assess the difficulty and my likelihood of solving the following problem correctly before attempting to answer it numerically.
The problem states:
An isosceles trapezoid has an inscribed circle (tangent to all four sides). The radius of the circle is 3, and the area of the trapezoid is 72. The parallel side... | I need to assess the difficulty and my likelihood of solving the following problem correctly before attempting to answer it numerically.
The problem states:
An isosceles trapezoid has an inscribed circle (tangent to all four sides). The radius of the circle is 3, and the area of the trapezoid is 72. The parallel side... | 1,578 | stop | false | true | null | null | null | 90 | 90 | false | rule_boxed | false | [] | null | false | ||
aime_2025_6 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,484,786 | <|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... | {} | 257 | 65,247 | I will assess the problem without solving it.
First, the problem involves an isosceles trapezoid with an inscribed circle (tangent to all four sides), which is a tangential trapezoid. I recall that for a quadrilateral to have an incircle, the sums of the lengths of the opposite sides must be equal. For a trapezoid wi... | I will assess the problem without solving it.
First, the problem involves an isosceles trapezoid with an inscribed circle (tangent to all four sides), which is a tangential trapezoid. I recall that for a quadrilateral to have an incircle, the sums of the lengths of the opposite sides must be equal. For a trapezoid wi... | I will assess the problem without solving it.
First, the problem involves an isosceles trapezoid with an inscribed circle (tangent to all four sides), which is a tangential trapezoid. I recall that for a quadrilateral to have an incircle, the sums of the lengths of the opposite sides must be equal. For a trapezoid wi... | 1,251 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_6 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,484,787 | <|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... | {} | 257 | 65,247 | I'm assessing the difficulty and my likelihood of solving the problem correctly before proceeding to the answer.
This problem involves an isosceles trapezoid with an inscribed circle (a tangential trapezoid), given the radius of the circle and the area of the trapezoid, and asks for the sum of the squares of the lengt... | I'm assessing the difficulty and my likelihood of solving the problem correctly before proceeding to the answer.
This problem involves an isosceles trapezoid with an inscribed circle (a tangential trapezoid), given the radius of the circle and the area of the trapezoid, and asks for the sum of the squares of the lengt... | I'm assessing the difficulty and my likelihood of solving the problem correctly before proceeding to the answer.
This problem involves an isosceles trapezoid with an inscribed circle (a tangential trapezoid), given the radius of the circle and the area of the trapezoid, and asks for the sum of the squares of the lengt... | 446 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_7 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,232,912 | <|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... | {} | 319 | 65,185 | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves combinatorics, specifically arranging 12 distinct letters into 6 unordered pairs, then considering the alphabetical ordering of the resulting two-letter words and their final alphabetical listing. The main... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves combinatorics, specifically arranging 12 distinct letters into 6 unordered pairs, then considering the alphabetical ordering of the resulting two-letter words and their final alphabetical listing. The main... | To assess the likelihood of solving this problem correctly, I consider the following:
First, the problem involves combinatorics, specifically arranging 12 distinct letters into 6 unordered pairs, then considering the alphabetical ordering of the resulting two-letter words and their final alphabetical listing. The main... | 434 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_7 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,232,913 | <|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... | {} | 319 | 65,185 | To assess how likely I am to solve this problem correctly, I consider the following:
First, the problem involves combinatorial arrangements: specifically, partitioning 12 distinct letters into 6 unordered pairs, then ordering those pairs into words based on alphabetical order, and finally evaluating the probability th... | To assess how likely I am to solve this problem correctly, I consider the following:
First, the problem involves combinatorial arrangements: specifically, partitioning 12 distinct letters into 6 unordered pairs, then ordering those pairs into words based on alphabetical order, and finally evaluating the probability th... | To assess how likely I am to solve this problem correctly, I consider the following:
First, the problem involves combinatorial arrangements: specifically, partitioning 12 distinct letters into 6 unordered pairs, then ordering those pairs into words based on alphabetical order, and finally evaluating the probability th... | 662 | stop | false | true | null | null | null | 70 | 70 | false | rule_boxed | false | [] | null | false | ||
aime_2025_7 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,232,914 | <|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... | {} | 319 | 65,185 | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Conceptual Understanding Required:**
- The problem involves combinatorial counting (specifically, counting the number of ways to pair 12 items, and determining the probability related to a particular element's posit... | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Conceptual Understanding Required:**
- The problem involves combinatorial counting (specifically, counting the number of ways to pair 12 items, and determining the probability related to a particular element's posit... | To assess the likelihood of solving this problem correctly, I consider the following factors:
1. **Conceptual Understanding Required:**
- The problem involves combinatorial counting (specifically, counting the number of ways to pair 12 items, and determining the probability related to a particular element's posit... | 654 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_8 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,635,000 | <|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... | {} | 287 | 65,217 | I need to assess my ability to solve the given problem before attempting to answer it. Let's break down the problem and consider what is required.
**Restating the Problem:**
We have a system of two complex equations in variables \( z \) and \( k \):
1. \( |25 + 20i - z| = 5 \)
2. \( |z - 4 - k| = |z - 3i - k| \)
We ... | I need to assess my ability to solve the given problem before attempting to answer it. Let's break down the problem and consider what is required.
**Restating the Problem:**
We have a system of two complex equations in variables \( z \) and \( k \):
1. \( |25 + 20i - z| = 5 \)
2. \( |z - 4 - k| = |z - 3i - k| \)
We ... | I need to assess my ability to solve the given problem before attempting to answer it. Let's break down the problem and consider what is required.
**Restating the Problem:**
We have a system of two complex equations in variables \( z \) and \( k \):
1. \( |25 + 20i - z| = 5 \)
2. \( |z - 4 - k| = |z - 3i - k| \)
We ... | 2,695 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false | ||
aime_2025_8 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,635,001 | <|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... | {} | 287 | 65,217 | I need to assess the likelihood that I would solve the given complex number system problem correctly on multiple attempts. Let's break down the analysis.
First, the problem involves two equations in the complex plane:
1. \( |25 + 20i - z| = 5 \): This is a circle centered at \( 25 + 20i \) with radius 5.
2. \( |z - 4... | I need to assess the likelihood that I would solve the given complex number system problem correctly on multiple attempts. Let's break down the analysis.
First, the problem involves two equations in the complex plane:
1. \( |25 + 20i - z| = 5 \): This is a circle centered at \( 25 + 20i \) with radius 5.
2. \( |z - 4... | I need to assess the likelihood that I would solve the given complex number system problem correctly on multiple attempts. Let's break down the analysis.
First, the problem involves two equations in the complex plane:
1. \( |25 + 20i - z| = 5 \): This is a circle centered at \( 25 + 20i \) with radius 5.
2. \( |z - 4... | 662 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | false | [] | null | false | ||
aime_2025_8 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,635,002 | <|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... | {} | 287 | 65,217 | I will assess the problem step by step as requested, before giving my estimate.
First, let's break down what the problem requires. We have a system of two equations in the complex variable \( z \):
1. \( |25 + 20i - z| = 5 \): This is the equation of a circle in the complex plane centered at \( 25 + 20i \) with radiu... | I will assess the problem step by step as requested, before giving my estimate.
First, let's break down what the problem requires. We have a system of two equations in the complex variable \( z \):
1. \( |25 + 20i - z| = 5 \): This is the equation of a circle in the complex plane centered at \( 25 + 20i \) with radiu... | I will assess the problem step by step as requested, before giving my estimate.
First, let's break down what the problem requires. We have a system of two equations in the complex variable \( z \):
1. \( |25 + 20i - z| = 5 \): This is the equation of a circle in the complex plane centered at \( 25 + 20i \) with radiu... | 630 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | false | [] | null | false | ||
aime_2025_9 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,366,105 | <|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... | {} | 280 | 65,224 | I need to assess how likely I am to solve the given problem correctly before attempting to answer it. Let me break down the problem and my ability to handle each required step.
**1. Understanding the Problem:**
- There is a parabola defined by \( y = x^2 - 4 \).
- It is rotated 60° counterclockwise about the origin.
-... | I need to assess how likely I am to solve the given problem correctly before attempting to answer it. Let me break down the problem and my ability to handle each required step.
**1. Understanding the Problem:**
- There is a parabola defined by \( y = x^2 - 4 \).
- It is rotated 60° counterclockwise about the origin.
-... | I need to assess how likely I am to solve the given problem correctly before attempting to answer it. Let me break down the problem and my ability to handle each required step.
**1. Understanding the Problem:**
- There is a parabola defined by \( y = x^2 - 4 \).
- It is rotated 60° counterclockwise about the origin.
-... | 658 | stop | false | true | null | null | null | 35 | 40 | true | rule_boxed | true | ["answer_declaration"] | in the specified form and that the constants are integers with the required coprimality | false | ||
aime_2025_9 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,366,106 | <|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... | {} | 280 | 65,224 | To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It involves several steps: understanding the transformation of a parabola under a rotation, deriving the equation of the rotated parabola, finding the intersection points between the original and rotated parabolas, d... | To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It involves several steps: understanding the transformation of a parabola under a rotation, deriving the equation of the rotated parabola, finding the intersection points between the original and rotated parabolas, d... | To assess the likelihood of solving this problem correctly, I first consider the nature of the problem. It involves several steps: understanding the transformation of a parabola under a rotation, deriving the equation of the rotated parabola, finding the intersection points between the original and rotated parabolas, d... | 549 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2025_9 | aime_2025 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,366,107 | <|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... | {} | 280 | 65,224 | I need to assess the difficulty and likelihood of solving the given problem correctly. Here’s my reasoning step by step:
**1. Problem Understanding:**
The problem involves rotating a parabola given by \( y = x^2 - 4 \) by \( 60^\circ \) counterclockwise about the origin, then finding the intersection point in the fo... | I need to assess the difficulty and likelihood of solving the given problem correctly. Here’s my reasoning step by step:
**1. Problem Understanding:**
The problem involves rotating a parabola given by \( y = x^2 - 4 \) by \( 60^\circ \) counterclockwise about the origin, then finding the intersection point in the fo... | I need to assess the difficulty and likelihood of solving the given problem correctly. Here’s my reasoning step by step:
**1. Problem Understanding:**
The problem involves rotating a parabola given by \( y = x^2 - 4 \) by \( 60^\circ \) counterclockwise about the origin, then finding the intersection point in the fo... | 750 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | true | ["answer_declaration"] | Careful with how you rationalize or simplify the expression; easy to misplace signs or denominators | false | ||
aime_2026_1 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,793,819 | <|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... | {} | 325 | 65,179 | I need to assess how likely I am to solve the given problem correctly before attempting to answer.
Let's break down the problem:
1. **Understanding the scenario:** Three people leave the school for the park at different times, each with a different mode of transportation, each at different constant speeds. They all a... | I need to assess how likely I am to solve the given problem correctly before attempting to answer.
Let's break down the problem:
1. **Understanding the scenario:** Three people leave the school for the park at different times, each with a different mode of transportation, each at different constant speeds. They all a... | I need to assess how likely I am to solve the given problem correctly before attempting to answer.
Let's break down the problem:
1. **Understanding the scenario:** Three people leave the school for the park at different times, each with a different mode of transportation, each at different constant speeds. They all a... | 559 | stop | false | true | null | null | null | 60 | 60 | false | rule_boxed | true | ["answer_declaration"] | in simplest terms | false | ||
aime_2026_1 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,793,820 | <|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... | {} | 325 | 65,179 | I need to assess how likely I am to solve this problem correctly before attempting to answer numerically.
Let's break down the problem:
**Understanding the Problem:**
- Three people leave school for the park at different times and speeds.
- Patrick walks at a constant speed, starting first.
- Tanya runs faste... | I need to assess how likely I am to solve this problem correctly before attempting to answer numerically.
Let's break down the problem:
**Understanding the Problem:**
- Three people leave school for the park at different times and speeds.
- Patrick walks at a constant speed, starting first.
- Tanya runs faste... | I need to assess how likely I am to solve this problem correctly before attempting to answer numerically.
Let's break down the problem:
**Understanding the Problem:**
- Three people leave school for the park at different times and speeds.
- Patrick walks at a constant speed, starting first.
- Tanya runs faste... | 650 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | false | [] | null | false | ||
aime_2026_1 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,793,821 | <|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... | {} | 325 | 65,179 | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
Let's break down the problem and required steps:
1. **Understanding the scenario and variables:**
- Three people leave school for the park at different times: Patrick (walks), Tanya... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
Let's break down the problem and required steps:
1. **Understanding the scenario and variables:**
- Three people leave school for the park at different times: Patrick (walks), Tanya... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
Let's break down the problem and required steps:
1. **Understanding the scenario and variables:**
- Three people leave school for the park at different times: Patrick (walks), Tanya... | 726 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | false | [] | null | false | ||
aime_2026_10 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 20,659,800 | <|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... | {} | 277 | 65,227 | I need to assess the likelihood that I would solve the given problem correctly on multiple attempts. Let's break down the problem and my ability to handle each component.
**Restating the problem for clarity:**
We have triangle ABC with sides 13, 14, 15 (a well-known Heronian triangle). We rotate the triangle about its... | I need to assess the likelihood that I would solve the given problem correctly on multiple attempts. Let's break down the problem and my ability to handle each component.
**Restating the problem for clarity:**
We have triangle ABC with sides 13, 14, 15 (a well-known Heronian triangle). We rotate the triangle about its... | I need to assess the likelihood that I would solve the given problem correctly on multiple attempts. Let's break down the problem and my ability to handle each component.
**Restating the problem for clarity:**
We have triangle ABC with sides 13, 14, 15 (a well-known Heronian triangle). We rotate the triangle about its... | 963 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | false | [] | null | false | ||
aime_2026_10 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 20,659,801 | <|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... | {} | 277 | 65,227 | To assess the likelihood of solving this problem correctly, I consider the following:
**1. Problem Type and Required Knowledge:**
The problem is a geometry contest problem involving rotations, circumcenters, and areas of a hexagon formed by specific images of triangle vertices after a transformation. It requires fam... | To assess the likelihood of solving this problem correctly, I consider the following:
**1. Problem Type and Required Knowledge:**
The problem is a geometry contest problem involving rotations, circumcenters, and areas of a hexagon formed by specific images of triangle vertices after a transformation. It requires fam... | To assess the likelihood of solving this problem correctly, I consider the following:
**1. Problem Type and Required Knowledge:**
The problem is a geometry contest problem involving rotations, circumcenters, and areas of a hexagon formed by specific images of triangle vertices after a transformation. It requires fam... | 704 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | false | [] | null | false | ||
aime_2026_10 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 20,659,802 | <|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... | {} | 277 | 65,227 | I will assess the problem as requested.
First, let's break down what the problem is asking. We have triangle ABC with sides 13, 14, 15—a well-known (but not equilateral or right) triangle. We are to consider its rotation about the circumcenter so that A'C' is perpendicular to BC, with a specific orientation. Then we a... | I will assess the problem as requested.
First, let's break down what the problem is asking. We have triangle ABC with sides 13, 14, 15—a well-known (but not equilateral or right) triangle. We are to consider its rotation about the circumcenter so that A'C' is perpendicular to BC, with a specific orientation. Then we a... | I will assess the problem as requested.
First, let's break down what the problem is asking. We have triangle ABC with sides 13, 14, 15—a well-known (but not equilateral or right) triangle. We are to consider its rotation about the circumcenter so that A'C' is perpendicular to BC, with a specific orientation. Then we a... | 681 | stop | false | true | null | null | null | 80 | 80 | false | rule_boxed | false | [] | null | false | ||
aime_2026_11 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,258,809 | <|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... | {} | 328 | 65,176 | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
First, let's restate the problem in my own words. We have the numbers 1 through 64 arranged in an 8×8 grid. For each pair of adjacent cells (horizontally or vertically), we take the abs... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
First, let's restate the problem in my own words. We have the numbers 1 through 64 arranged in an 8×8 grid. For each pair of adjacent cells (horizontally or vertically), we take the abs... | I need to assess the difficulty and my likelihood of solving the given problem correctly before providing an estimate.
**Analysis:**
First, let's restate the problem in my own words. We have the numbers 1 through 64 arranged in an 8×8 grid. For each pair of adjacent cells (horizontally or vertically), we take the abs... | 1,072 | stop | false | true | null | null | null | 30 | 30 | false | rule_boxed | true | ["answer_declaration"] | null | false | ||
aime_2026_11 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 1 | 21,258,810 | <|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... | {} | 328 | 65,176 | I assess the problem as follows:
The problem involves arranging the numbers 1 through 64 in an 8×8 grid to maximize the sum of absolute differences between adjacent cells (both horizontally and vertically). This is a highly structured optimization problem on a grid, reminiscent of the "maximum traveling salesman path"... | I assess the problem as follows:
The problem involves arranging the numbers 1 through 64 in an 8×8 grid to maximize the sum of absolute differences between adjacent cells (both horizontally and vertically). This is a highly structured optimization problem on a grid, reminiscent of the "maximum traveling salesman path"... | I assess the problem as follows:
The problem involves arranging the numbers 1 through 64 in an 8×8 grid to maximize the sum of absolute differences between adjacent cells (both horizontally and vertically). This is a highly structured optimization problem on a grid, reminiscent of the "maximum traveling salesman path"... | 415 | stop | false | true | null | null | null | 20 | 20 | false | rule_boxed | false | [] | null | false | ||
aime_2026_11 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 2 | 21,258,811 | <|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... | {} | 328 | 65,176 | I assess that this problem involves maximizing the sum of absolute differences over all adjacent pairs in a permutation of a 8×8 grid (i.e., a Hamiltonian path on the grid graph). This is a highly nontrivial combinatorial optimization problem, especially because the grid has a complex adjacency structure (each interior... | I assess that this problem involves maximizing the sum of absolute differences over all adjacent pairs in a permutation of a 8×8 grid (i.e., a Hamiltonian path on the grid graph). This is a highly nontrivial combinatorial optimization problem, especially because the grid has a complex adjacency structure (each interior... | I assess that this problem involves maximizing the sum of absolute differences over all adjacent pairs in a permutation of a 8×8 grid (i.e., a Hamiltonian path on the grid graph). This is a highly nontrivial combinatorial optimization problem, especially because the grid has a complex adjacency structure (each interior... | 255 | stop | false | true | null | null | null | 10 | 10 | false | rule_boxed | false | [] | null | false | ||
aime_2026_12 | aime_2026 | pre_conf | olmo3-7b-instruct | allenai/Olmo-3-7B-Instruct | 6e5971d9eba42665f5bd5a0fcf047f299ce1dccc | default | -1 | 0 | 21,149,143 | <|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... | {} | 354 | 65,150 | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let's break down the problem and its requirements.
**Analysis of the Problem:**
1. **Geometry in 3D (Plane and Reflection):**
- We start with a right triangle in a plane (2D geometry), then reflect a point (the... | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let's break down the problem and its requirements.
**Analysis of the Problem:**
1. **Geometry in 3D (Plane and Reflection):**
- We start with a right triangle in a plane (2D geometry), then reflect a point (the... | I need to assess how likely I am to solve the given math problem correctly before providing an estimate. Let's break down the problem and its requirements.
**Analysis of the Problem:**
1. **Geometry in 3D (Plane and Reflection):**
- We start with a right triangle in a plane (2D geometry), then reflect a point (the... | 980 | stop | false | true | null | null | null | 40 | 40 | false | rule_boxed | false | [] | null | false |