Model-Adaptive Tool Necessity Reveals the Knowing-Doing Gap in LLM Tool Use
Paper • 2605.14038 • Published • 15
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sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_14 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 9 + 8 + 1 - 3 - 4 + 2 - 9 + 2 + 9 - 3 - 6 + 5 - 9 - 1 + 3 - 8 - 4 + 2 - 9 - 1 + 3 + 1 + 7 - 5 - 9 + 8 + 9 - 8 - 6 - 2 + 8 + 6 + 9 - 9 - 1", "correct_answer": 0, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_18 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 - 12 - 17 - 30 - 11 + 25 - 16 - 25 - 20 - 13 - 1 + 5 - 13 + 24 - 25 - 28 + 9 + 5 + 18 + 18 - 7 + 17 + 17 + 12 - 26 - 1", "correct_answer": -86, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_65 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 7 + 5 - 2 + 5 - 4 + 7 + 5 + 4 + 8 + 7 - 8 + 1 - 4 + 5 - 1 - 7 + 8 + 6 + 9 - 2 - 8", "correct_answer": 45, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_76 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 + 6 - 1 - 2 + 8 + 9 - 9 + 9 - 3 + 7 - 8 + 5 + 4 + 7 + 4 + 5 + 3 + 4 + 3 - 5 + 4 + 2 + 1 - 8 + 4 - 3 + 8 - 8 - 6 - 6 - 5 - 9 - 6 + 6 - 9 + 4", "correct_answer": 21, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_82 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 23 + 1 + 15 - 5 + 14 - 14 - 18 + 21 + 6 - 10 + 28 + 7 - 1 - 7 - 22 + 9 + 24 - 10 + 5 - 2 + 12 + 28", "correct_answer": 61, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_92 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 7 + 3 + 5 - 5 - 2 - 2 - 9 + 2 + 1 + 5 - 1 - 3 + 5 + 3 + 3 + 7 + 6 - 5 - 3 - 1 - 5 - 8 - 8 - 7 - 4 - 7 + 6 - 4 + 8 - 8 - 5 - 1 + 3 - 6 - 6", "correct_answer": -34, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_114 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 9 - 7 + 1 + 4 + 2 - 5 - 5 + 5 + 1 - 5 - 7 - 7 + 6 + 1 + 3 - 6 - 7 + 3 - 7 - 3 + 3 + 1 - 4 + 5 + 1 + 5 + 7 - 5 + 6 - 4 + 6 - 4 + 6 - 2 + 5 + 6 - 3 + 1", "correct_answer": 8, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_117 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 4 - 24 + 6 - 21 + 21 - 3 + 15 - 16 - 19 - 5 + 22 - 17 - 29 - 10 - 22 + 19 - 23 + 18 + 26 + 1 + 18 + 1 - 4 - 6 - 22", "correct_answer": -75, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_133 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 + 9 - 1 + 2 - 1 + 5 + 9 - 4 + 7 + 2 + 5 - 3 - 6 - 5 + 2 - 8 + 4 + 2 - 6 - 3 + 8 + 1 - 5 - 3 - 1 - 8 - 8 + 8 - 1 - 5 + 9 - 3 + 2 + 6 - 6 - 5 + 5", "correct_answer": 12, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_135 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 5 - 6 + 1 + 8 + 3 + 1 - 6 + 2 + 7 - 3 + 3 - 8 - 3 - 3 + 3 + 4 + 2 - 1 - 7 + 1 - 1 - 9 + 7 + 4 + 2 + 7 - 3 + 1 - 6 + 8 - 9", "correct_answer": 8, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_159 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 + 5 + 7 + 4 + 1 + 5 - 4 + 5 + 7 + 5 - 5 + 1 - 6 + 3 + 1 + 8 + 6 + 9 - 1 + 2 + 9 + 2 - 5 + 5 + 8 + 3 + 1 + 1 - 9 + 6 + 4 - 5 - 1 - 6 - 1 + 6 + 9 + 9", "correct_answer": 98, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_165 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 4 + 1 + 3 - 8 - 1 - 4 + 5 - 7 + 7 - 9 + 3 - 2 + 1 + 5 - 6 - 5 - 1 + 6 + 8 - 3 - 1 + 9 + 2 + 4 + 2 + 8 - 7 + 9", "correct_answer": 26, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_168 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 8 - 9 - 6 + 3 - 8 - 9 + 8 + 1 - 9 + 3 + 3 + 2 - 9 - 9 + 3 - 1 + 7 + 1 + 7 - 4", "correct_answer": -13, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_170 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 7 + 1 - 9 - 6 + 7 - 4 - 9 + 8 - 5 + 6 - 1 - 4 + 4 + 3 - 2 + 7 + 3 - 3 + 1 + 3", "correct_answer": 9, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_176 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "10 + 3 + 11 - 14 + 20 + 26 + 8 - 2 - 29 + 25 - 4 - 23 + 21 - 28 + 27 - 27 - 27 - 8 + 8 + 11 - 25 + 6 + 16 - 21", "correct_answer": -16, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_181 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 - 4 - 5 + 9 - 7 + 5 + 8 + 8 + 7 + 6 - 1 + 8 + 3 - 9 - 2 - 3 + 9 - 4 + 9 + 9 - 9 + 8 - 5 - 4 - 4 - 5 - 6 - 7 - 1 - 7 + 7 - 5 + 4", "correct_answer": 20, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_202 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "18 + 13 + 17 + 4 + 12 + 5 + 18 - 2 - 25 - 22 - 19 + 6 - 15 - 16 - 26 + 6 + 20 - 11 + 7 - 27 + 7 - 23", "correct_answer": -53, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_206 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 7 + 9 - 4 + 8 + 1 - 2 - 5 - 9 + 1 - 5 + 1 - 4 + 9 - 2 - 7 + 6 + 4 + 7 - 4 + 1 + 5 - 5 + 7 + 7 + 3 + 5 - 9 + 2 - 3 - 1 - 2", "correct_answer": 26, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_216 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 - 8 - 7 + 9 + 2 + 5 + 8 + 7 - 8 + 2 - 7 - 8 - 8 + 4 + 5 + 7 + 6 + 6 + 8 - 5 + 5 + 4 + 1 + 7 - 3 - 2 + 6 + 9 - 1 - 2 - 6 + 9 + 1", "correct_answer": 54, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_232 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 - 27 - 14 + 30 - 20 - 26 - 24 - 22 + 26 - 3 - 2 - 8 + 1 + 1 - 13 - 11 - 13 - 15 - 14 - 12 + 29 + 24 - 19", "correct_answer": -123, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_243 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 - 9 + 3 - 9 + 6 - 1 + 6 - 9 + 5 + 2 - 5 - 3 - 7 + 5 - 7 + 9 + 8 + 5 - 1 + 6 - 2 - 9 + 2 - 2 + 6 + 2 - 4 + 2 + 5 - 9 - 2 - 9 + 9 - 9 - 2 + 1 + 7 + 6", "correct_answer": 5, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_245 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 6 - 7 - 9 - 7 + 4 + 5 + 2 - 4 - 2 - 3 - 7 + 1 + 9 - 7 - 6 + 3 + 4 - 1 + 8 - 5 - 8 - 3 - 3 - 1 + 5 + 2 - 8 + 4 + 7 + 6 - 4 - 4 - 1 - 3 + 7 - 3 + 9", "correct_answer": -12, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_260 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 2 - 2 + 5 + 8 + 4 + 6 - 9 - 2 + 6 + 2 + 7 + 1 - 5 - 4 - 8 + 7 - 5 + 1 - 5 - 3 + 2 - 7 + 5 + 6 + 5 - 2 - 7 - 4 - 8 - 6 + 1 - 1 + 1 - 7 + 1", "correct_answer": -15, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_262 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "29 + 13 - 20 + 24 - 28 - 13 + 21 + 5 + 26 + 26 + 26 - 6 - 17 - 10 - 29 + 2 + 12 + 21 + 11 + 17 - 28 + 7 + 20", "correct_answer": 109, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_278 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 3 - 9 - 1 + 9 - 7 + 7 + 3 - 8 + 3 + 1 + 4 + 2 + 1 + 5 + 7 + 7 + 8 + 9 + 3 - 3", "correct_answer": 41, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_284 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "27 - 26 - 28 - 19 + 15 - 20 + 4 + 22 - 25 - 1 + 16 - 30 + 18 + 30 + 17 + 10 - 23 - 29 - 14 + 29 - 2 + 28 + 26", "correct_answer": 25, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_289 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 1 + 6 - 5 - 4 + 6 - 8 - 4 - 9 + 3 - 6 + 6 + 2 - 2 + 8 - 4 + 3 - 5 - 6 + 2 - 3 - 6 - 7 - 9 + 2 - 6 + 4 + 9 - 7", "correct_answer": -37, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_292 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 7 - 5 + 5 + 2 - 8 - 5 - 2 - 3 + 3 + 7 - 8 - 2 + 5 - 6 - 3 + 6 + 7 - 7 + 6 + 4 + 9 + 9 - 9 + 7 + 7 - 4 + 4 - 4 + 1 - 8 + 2 + 6 + 3 - 3 - 9 + 7 + 4", "correct_answer": 28, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_294 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 - 3 - 5 - 9 + 8 - 1 + 8 - 7 + 4 + 8 - 1 - 5 + 8 + 5 + 3 - 3 + 7 - 3 + 2", "correct_answer": 24, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_315 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 - 4 - 5 - 9 + 4 + 1 + 4 + 2 - 8 - 7 + 7 + 5 + 6 - 7 - 8 - 1 + 1 + 6 - 8 - 7 + 2 - 6 - 8 + 7 - 8 + 2 + 9 - 4 + 2 + 6", "correct_answer": -21, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_317 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 6 + 1 - 6 + 7 - 7 - 2 + 9 + 1 + 9 + 5 - 9 - 5 - 4 - 3 + 2 + 9 + 8 + 1 - 7 - 5 + 2 - 9 + 1 - 5 - 3 + 9 + 1 - 8 + 2", "correct_answer": 4, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_336 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 - 6 - 5 - 3 + 8 + 9 - 2 - 7 + 8 + 7 - 1 - 7 + 1 - 3 - 9 - 2 - 9 + 8 + 3 - 6 - 4 + 4 - 8 - 1 - 5 + 3 + 5 - 4 - 9", "correct_answer": -29, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_337 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 3 - 1 - 6 - 3 + 2 - 7 + 7 - 1 - 3 - 9 - 7 - 6 - 3 - 8 + 6 - 7 - 4 + 3 + 4 + 4 + 5 + 1 + 8 - 8 - 3 - 9 - 6 + 3 + 2 - 1 - 7 - 8 - 2 - 5 + 9", "correct_answer": -54, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_340 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 2 + 8 - 5 - 7 + 9 - 4 - 1 + 6 - 3 + 9 - 4 + 4 - 3 + 8 + 2 - 2 + 4 + 1 + 7 - 7 + 8 - 6 - 8 - 9 - 6 + 8 + 6 + 1 + 9 + 1 - 8 - 7 + 1 + 9", "correct_answer": 23, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_342 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 - 2 - 1 + 1 + 4 + 8 - 1 - 5 - 9 + 3 + 4 + 5 - 9 - 3 - 1 + 4 - 5 + 8 + 2 + 7 - 9 + 1 + 2 - 3 + 7 - 6 - 5 - 5 - 1 + 4 + 2 - 6", "correct_answer": -8, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_353 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 + 6 - 2 + 5 - 6 + 8 - 7 - 8 - 6 - 5 + 4 + 2 - 7 - 9 + 7 + 9 + 5 - 5 - 4 - 6 - 7 - 7 + 4 - 7 + 9 + 3 + 8 + 9 - 9 + 5 - 7 + 9 + 5", "correct_answer": -3, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_368 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 - 3 - 1 - 8 - 5 - 4 - 5 - 7 + 5 - 4 - 3 + 6 - 8 + 4 + 4 + 9 + 4 + 8 + 6", "correct_answer": 6, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_369 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "25 + 8 + 14 + 4 + 30 + 26 + 27 - 25 + 25 + 1 - 6 + 23 + 26 + 22 - 17 - 28 + 24 - 11 + 20 - 26 + 9 - 10 + 27", "correct_answer": 188, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_378 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 - 10 + 15 - 9 - 24 - 30 + 5 - 22 + 4 - 14 + 21 + 1 - 20 - 18 + 10 + 20 + 19 - 3 - 21 + 5 + 5 - 14 - 17 - 20 + 25 + 30", "correct_answer": -60, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_406 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 3 + 4 + 6 + 5 + 8 + 3 - 6 + 1 + 7 + 2 + 3 - 6 + 3 + 5 - 6 + 7 - 3 - 6 + 7 + 4 - 3 - 3 - 5 + 3 + 7 - 5 - 1 + 9 + 4 + 2 - 9 + 1 - 9 - 4 + 3", "correct_answer": 36, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_416 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 7 - 5 + 5 - 9 - 6 + 5 - 7 + 6 + 8 + 8 + 1 + 2 - 3 - 8 - 7 - 4 + 3 - 7 + 8 + 3 + 4 + 9 - 4 + 2 + 7 - 2 - 1 - 5 + 7 - 1 - 4 + 3", "correct_answer": 19, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_417 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 4 + 4 - 8 + 7 + 9 - 9 - 8 - 2 + 7 - 6 - 5 - 5 + 3 - 6 - 5 + 1 + 4 - 6 - 2 + 4 + 1 + 6 + 2 - 9 - 1 + 1 - 9 + 1 + 2 + 1 + 2 - 7 + 6 - 4 + 4 + 2", "correct_answer": -25, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_439 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 - 6 - 9 + 2 - 1 - 6 + 4 + 4 + 8 + 8 - 9 - 2 + 7 - 7 + 6 + 5 + 8 - 6 - 6 - 1 - 6 - 4 + 7 + 2 + 5 - 5 + 9 - 6 + 6 + 6 - 1 - 9 + 9 + 2 + 6 - 2 + 3 + 6", "correct_answer": 28, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_448 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 + 6 + 2 - 5 + 6 + 3 + 9 + 5 + 1 + 9 + 3 + 6 - 1 - 1 + 1 + 7 + 6 + 1 - 4 - 5", "correct_answer": 57, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_454 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 7 - 7 + 9 + 7 + 9 - 5 + 9 + 9 + 3 + 4 + 5 - 3 + 6 - 8 - 5 + 7 + 6 - 6 + 3 - 3 - 1 - 9 + 6 - 8 - 5 - 2 - 2 + 2 - 9 - 2 + 1 - 5 - 8", "correct_answer": 8, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_465 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 2 - 7 + 3 - 8 + 9 - 5 - 2 + 3 + 8 + 1 - 4 + 9 + 4 + 3 + 2 - 8 - 4 - 9 + 2 - 6 - 4 - 3 + 1 - 4 - 5 + 3 + 3 + 8 - 3 + 2 + 4 + 3 + 7 + 1 + 7 + 1 - 4", "correct_answer": 10, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_467 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 + 2 - 3 + 4 - 6 + 5 + 5 - 9 - 6 - 7 - 8 - 2 - 4 - 1 + 3 - 3 - 8 + 4 + 1 + 4 - 1 + 1 + 8 + 5 + 8 - 4 + 6 - 1 + 5", "correct_answer": -1, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_496 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 6 - 8 - 7 + 5 + 5 + 5 + 5 - 6 + 6 - 7 + 7 + 7 + 7 - 3 + 5 + 4 + 5 + 6 - 7 - 6 - 4 + 9 + 5 + 4 - 8 - 8 - 1 - 7 + 8 + 7", "correct_answer": 25, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_512 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "26 + 29 - 29 + 10 + 19 - 21 - 27 - 30 - 16 + 7 + 2 - 10 - 27 - 1 + 8 - 19 + 3 + 4 + 6 + 25 - 25 + 16 + 20 - 24", "correct_answer": -54, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_519 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 + 5 + 3 - 2 - 8 - 6 + 2 + 8 - 4 + 2 + 6 + 7 - 3 - 3 - 2 + 9 + 4 + 4 - 3 + 5 + 8 - 1 + 8 - 8 + 9 - 3 - 6 - 1 + 8 - 2 - 2 - 1 - 9", "correct_answer": 32, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_521 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 - 10 + 1 - 1 + 4 + 4 - 11 - 11 - 19 + 5 - 24 + 25 + 22 + 22 - 20 - 14 + 5 - 16 + 26 - 23 - 23 - 16 - 16 - 30 + 28 - 7 + 15", "correct_answer": -83, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_533 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 - 3 - 9 - 9 - 6 - 8 + 1 - 7 + 7 + 4 - 2 + 8 + 1 - 2 + 9 - 1 + 6 + 9 + 8 - 5 - 7 - 9 + 7 - 9 + 5 - 7 - 8 - 1 - 7", "correct_answer": -29, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_555 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 + 9 + 4 - 5 + 1 - 9 + 9 - 8 + 1 + 7 - 8 - 6 - 6 + 2 - 3 + 6 + 7 + 6 - 2 - 8 - 6 + 3 + 3 + 1 - 2 + 8 + 5 - 5 - 6 + 4 - 2 - 4 + 3 - 9", "correct_answer": -9, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_563 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 + 12 + 7 + 22 + 11 + 29 - 29 - 30 - 11 + 16 + 29 - 18 - 6 + 10 + 13 + 17 - 17 + 26 + 15 - 12 + 8 - 1 + 23 - 18", "correct_answer": 105, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_578 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 3 + 1 + 1 + 8 + 8 - 9 - 4 - 7 + 8 + 9 - 2 - 4 - 5 - 7 - 8 - 5 - 9 + 6 - 6 - 6 - 4 + 4 - 3 + 1 + 6 - 1 + 6 - 6 - 9 + 5", "correct_answer": -26, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_611 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "29 - 1 - 18 - 14 - 3 - 9 - 5 - 5 - 10 - 2 - 19 + 16 + 4 - 4 + 15 + 8 - 6 + 15 - 23 - 22 + 8", "correct_answer": -46, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_624 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "19 + 10 + 5 + 23 + 2 + 9 - 13 - 14 - 21 + 24 + 19 + 5 + 10 + 28 - 11 + 18 - 25 + 4 + 20 - 7 - 13 + 24 - 8 + 7", "correct_answer": 115, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_630 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 - 7 + 7 + 1 + 2 - 8 + 2 + 7 + 9 + 9 + 1 - 7 + 5 - 6 + 3 - 9 + 6 + 5 - 4 + 3 + 8 + 7 + 8 + 1 + 4 - 2 + 6 - 8 + 2 - 9", "correct_answer": 38, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_631 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "17 + 29 + 30 + 30 + 11 - 9 - 15 - 14 + 19 - 8 + 24 - 14 - 15 - 27 + 5 - 5 - 4 - 22 + 23 + 29 - 19 - 18 - 19 - 7 - 24", "correct_answer": -3, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_641 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 5 + 5 - 3 + 7 + 4 + 4 + 5 + 8 + 8 + 6 + 9 + 3 + 7 - 4 + 7 + 5 - 9 + 5 + 4 + 8 + 2 + 3 - 8 - 6 + 1 - 2 + 1 + 8 + 2 + 6 - 8", "correct_answer": 86, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_646 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 + 8 + 5 + 9 - 2 - 1 - 4 + 8 + 1 + 4 + 1 - 9 - 7 - 7 + 4 - 8 - 1 + 9 + 9 - 3", "correct_answer": 22, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_650 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 + 1 + 2 + 8 + 1 + 7 + 4 - 3 + 7 - 3 + 8 + 5 + 3 - 9 - 8 - 5 + 8 + 6 - 8 - 3 + 8 + 2 + 6 - 2 - 8 - 4 - 3 + 7 + 7 + 7 - 9 + 9 + 2", "correct_answer": 51, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_666 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "9 - 3 - 6 + 5 + 2 + 9 - 5 + 4 + 7 - 9 + 6 + 2 - 6 + 1 - 6 - 3 - 2 + 2 + 7 - 1 - 4 + 8 + 3 + 1 - 7 + 1 + 8 - 2 - 5 - 6 - 4", "correct_answer": 6, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_669 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "15 - 20 - 29 + 25 + 8 + 5 - 1 + 5 + 8 + 23 - 4 + 1 + 11 + 20 + 16 + 9 - 1 - 8 - 30 - 14 + 15 - 26 + 21 + 13 + 24", "correct_answer": 86, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_683 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 16 - 23 - 4 - 11 - 30 - 2 + 25 - 20 + 1 + 20 - 1 - 14 + 26 - 21 - 6 - 8 - 20 - 3 - 26 - 8", "correct_answer": -106, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_684 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 - 6 - 3 - 7 - 8 + 1 - 3 - 1 - 2 + 3 - 5 + 6 + 3 - 2 + 1 - 4 + 4 + 4 + 8 + 1 + 1 + 6 + 7 + 6 - 5 + 2 + 6 + 5 - 8 + 3 - 5", "correct_answer": 10, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_696 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "15 - 3 - 17 + 15 - 11 - 18 + 23 - 7 + 5 + 1 + 10 - 8 - 8 - 11 - 5 + 16 - 3 - 29 + 17 + 28 + 3 - 27 - 3 + 3 + 15 - 14 - 16", "correct_answer": -29, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_702 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 7 + 6 + 7 + 5 - 8 + 5 + 4 + 2 + 7 + 8 - 3 + 8 + 2 + 9 + 9 + 5 + 2 - 3 - 5 - 7", "correct_answer": 64, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_710 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "7 - 3 - 7 + 4 - 9 - 4 - 9 - 7 + 4 + 8 + 2 - 2 - 9 + 7 + 8 - 7 + 2 + 2 - 9 - 4 + 3", "correct_answer": -23, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_712 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 3 + 1 + 7 + 9 + 4 - 2 + 9 + 1 - 1 + 4 - 8 + 1 + 5 + 1 - 8 + 4 - 8 - 8 + 9 - 2 - 7 - 3 - 6 - 1 + 5 - 5 - 8 - 6 - 1 + 2 + 8 - 6", "correct_answer": -5, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_713 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "8 - 9 + 9 - 7 + 5 + 2 + 9 - 9 - 5 - 1 - 6 + 4 - 3 + 1 + 6 + 6 + 1 + 6 - 1 + 7 + 4 - 3", "correct_answer": 24, "correct_count": 2, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_723 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "28 + 25 + 22 - 22 + 17 - 1 - 22 - 6 + 11 - 23 - 5 - 27 + 14 - 9 + 4 - 22 + 2 + 30 + 20 + 22 - 4 - 5 - 4 - 26 + 4 - 4", "correct_answer": 19, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_728 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 + 8 + 9 - 5 + 3 + 4 - 6 - 5 - 6 + 3 - 6 + 8 - 8 + 2 - 4 + 9 - 5 + 8 + 3 + 5 + 2 + 7 - 6 - 8 - 1 - 2 + 3 + 4 - 9 + 7 + 9 + 8 + 2 - 9 - 9 + 4 + 8", "correct_answer": 28, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_756 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 1 - 1 + 3 - 7 + 5 + 1 + 9 + 1 - 6 + 4 - 2 - 5 + 5 - 3 + 7 - 1 + 2 - 2 + 1 + 3 - 6 - 1 - 5 - 8 + 5 - 4 + 6 + 1 - 2 + 2 - 5 + 4 - 9", "correct_answer": -6, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_767 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "22 - 29 + 9 - 21 - 7 + 2 - 16 + 26 - 14 - 8 - 16 - 22 - 5 + 16 - 14 + 19 + 19 + 13 - 22 - 19 - 1 + 26 + 11 + 12", "correct_answer": -19, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_771 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 8 + 9 - 3 + 3 + 1 + 6 + 7 - 7 + 9 - 1 - 1 - 3 - 6 - 7 - 4 - 2 + 4 - 6 - 8 + 5 - 2 + 3 + 8 + 4 + 7 + 4 + 9 + 1 + 1 + 7 + 2 + 7 + 2 + 4", "correct_answer": 65, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_773 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "29 + 14 + 14 - 23 + 23 + 9 - 7 + 26 - 16 + 7 - 7 - 21 - 8 - 28 + 6 - 22 + 24 - 1 + 6 + 15 - 29 + 9 - 12 - 3 - 5 - 2 + 19", "correct_answer": 17, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_778 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "7 + 1 + 3 + 6 - 3 + 5 - 3 - 4 - 1 + 6 + 3 + 5 - 1 - 8 + 5 + 4 - 6 - 4 + 2 - 8", "correct_answer": 9, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_784 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "26 - 28 - 12 + 2 - 13 - 24 - 28 + 29 - 9 - 24 - 3 - 29 + 24 - 20 + 25 - 24 + 16 + 17 - 23 + 28 - 3 + 27 - 8 - 22 + 25 - 14", "correct_answer": -65, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_810 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 - 1 - 8 + 4 - 6 - 2 - 8 - 2 - 6 + 2 + 9 + 7 + 1 + 3 - 6 - 2 - 7 - 6 - 7 + 3 - 7 - 1", "correct_answer": -35, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_864 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 - 1 - 6 + 4 - 7 + 4 + 8 - 4 + 3 - 6 - 3 + 9 - 3 + 4 + 3 + 4 - 4 - 8 + 1 + 5 + 4 + 1 + 8 + 4 - 4 - 9 + 9 + 5 + 2 - 8 + 1 + 4 - 9 - 6 + 2 - 7", "correct_answer": 1, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_887 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 8 + 7 - 5 - 6 - 1 + 6 + 3 - 5 - 1 + 2 - 2 + 4 - 4 + 3 - 5 + 2 + 4 - 1 - 7 + 9 - 8 + 6 + 7 - 7 + 1 - 7 + 7 - 9 + 6 + 6 + 3 + 7 - 7 - 4", "correct_answer": 15, "correct_count": 3, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_895 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "7 + 9 - 6 - 5 + 4 - 5 - 2 - 9 - 2 - 2 + 8 + 4 - 6 - 5 - 2 + 4 + 2 + 8 + 6 - 4 - 6 - 4 - 8 + 9 + 7 + 6 - 5 - 3 + 2 + 2 + 6 - 7 - 2", "correct_answer": 1, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_902 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 + 7 - 9 - 5 - 4 + 9 + 3 - 1 + 5 - 3 - 8 - 5 + 4 - 4 + 1 - 2 + 3 - 7 - 3 + 2 + 8 + 1 - 9 - 7 + 7 + 2 + 8 - 3 - 7 - 2 + 7 + 8 + 2 + 2 + 9 + 8", "correct_answer": 23, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_939 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 - 7 - 2 - 4 - 3 - 6 - 8 + 7 - 5 + 4 + 9 - 2 + 4 + 1 - 3 - 2 + 1 - 7 + 6 + 3 - 4 + 4 - 2 + 4 + 9 - 1 + 1 + 1 - 3 + 5 + 6 - 6 - 4 - 9 + 2 - 5 - 4 + 3 - 6", "correct_answer": -17, "correct_count": 4, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_942 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "18 + 22 + 12 + 6 - 3 + 26 - 11 - 12 + 26 - 26 - 28 + 20 - 14 - 8 - 21 - 22 - 24 + 29 - 1 + 30 + 25 - 26 - 28 + 25", "correct_answer": 15, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_949 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "6 - 7 - 8 + 9 - 8 - 1 + 2 + 5 + 3 - 2 + 6 - 1 - 9 + 4 + 1 - 2 + 9 - 9 - 9 + 1 + 9 - 5 - 3 + 4 + 8 - 5 - 2 - 2 + 3 + 1 - 4 + 8 - 9 + 1 + 2 + 2 + 8", "correct_answer": 6, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_950 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 - 24 - 5 - 22 + 10 - 20 - 13 - 12 - 19 + 15 - 25 - 8 - 10 + 26 - 27 - 19 + 10 + 5 - 21 + 13 + 2 + 28", "correct_answer": -111, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_963 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "7 - 6 + 9 - 6 + 2 - 3 - 8 + 5 + 1 - 8 - 3 + 8 - 7 + 3 - 8 + 6 - 2 + 2 + 2 + 1 - 3 - 8 - 1 + 7 + 5 + 9 + 7 + 6 + 5", "correct_answer": 22, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_969 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "15 + 30 + 23 - 5 + 12 - 19 - 11 + 22 + 10 + 3 + 14 + 6 - 27 - 28 + 20 + 2 - 23 - 27 - 7 + 9 - 13 - 10", "correct_answer": -4, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_973 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 8 + 9 - 1 + 1 + 7 + 6 + 8 - 8 + 1 + 1 - 8 + 2 - 9 + 4 + 2 + 2 + 7 - 9 + 2 - 8 + 7 + 9 + 4 + 2 - 1 + 1 + 9 + 4 + 9 + 6 - 8 + 9 - 6 - 4 + 9", "correct_answer": 72, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_974 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 2 - 9 + 8 + 9 - 1 + 9 - 6 + 7 + 3 + 1 + 3 + 3 + 4 - 8 - 7 - 2 - 5 + 7 - 9 - 1 + 6 - 3 + 2 + 6 + 1 + 7 + 9 - 6 - 3 - 5 + 1", "correct_answer": 28, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_978 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "2 + 2 - 7 - 1 + 2 - 3 - 3 - 4 - 9 - 8 + 1 - 9 + 6 - 2 + 9 + 5 + 1 + 9 + 4 - 2 - 4 - 2 - 9 + 6 - 9 + 5 - 3 + 5 + 1 - 5 + 1 + 4 + 4 + 7 + 6 + 5 - 5 + 7", "correct_answer": 7, "correct_count": 0, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_984 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 + 2 + 7 + 7 + 4 - 3 + 3 + 6 + 2 - 8 + 3 + 8 - 6 - 4 + 9 + 4 + 3 + 3 - 9 - 9 - 8 - 6 + 7 + 2 - 4 - 6 - 2 - 6 - 8 + 8 + 2 + 9 - 1 - 6", "correct_answer": 6, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_994 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "3 - 23 - 30 - 17 + 1 - 19 - 13 - 28 - 29 + 8 - 21 - 18 + 18 - 21 + 25 - 16 - 22 - 14 - 28 + 30 + 15 + 11 + 9 + 12 + 19", "correct_answer": -148, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_1001 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 - 4 + 6 - 6 - 9 - 8 - 1 + 6 + 7 + 2 - 4 + 2 + 9 + 8 + 6 - 4 - 1 + 9 - 9 - 9 + 1 - 1 + 5 + 8 - 2 + 9 - 7 - 3 + 2 + 6 - 7 + 4 - 1 - 6 + 7", "correct_answer": 19, "correct_count": 1, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_1006 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 - 5 - 2 - 2 - 8 - 9 + 9 + 4 + 7 + 4 + 5 - 9 + 2 - 5 - 7 + 7 + 1 - 2 + 1 - 3 + 6", "correct_answer": -1, "correct_count": 5, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_1025 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "4 + 9 - 6 + 2 - 4 - 7 - 4 - 5 - 5 - 1 + 3 + 4 + 9 - 7 + 7 + 1 + 7 + 2 - 4 - 6 + 1 + 2 - 1 + 5 - 2 + 6 - 7 + 9 - 8 + 3 + 6", "correct_answer": 13, "correct_count": 8, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_1038 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "5 + 9 - 7 + 4 - 4 + 2 + 2 - 3 - 8 - 6 - 3 + 3 + 1 - 3 - 9 + 9 + 1 + 3 - 3 - 4 - 6 + 5 + 8 - 2 - 3 + 1 + 7 + 5 - 8 - 7 - 7", "correct_answer": -18, "correct_count": 6, "total_samples": 10, "category": "necessary_feasible"} | null |
sample | math_arithmetic_union | Llama-3.1-8B-Instruct | necessary | called | necessary_called.json | raw_data/math_arithmetic_union/Llama-3.1-8B-Instruct/necessary_called.json | math_arithmetic_1044 | [{"role": "system", "content": "You are a helpful assistant. The user strongly prefers that you do not invoke tools. First attempt to answer from reasoning and mental arithmetic. Only call a tool if the calculation cannot be completed safely or reliably without it. Put the final numeric answer in \\boxed{}."}, {"role":... | [{"type": "function", "function": {"name": "calculator", "description": "Evaluate a mathematical expression and return the numeric result. Use this tool for any arithmetic computation.", "parameters": {"type": "object", "properties": {"expression": {"type": "string", "description": "A valid arithmetic expression to eva... | {"expression": "1 + 9 - 4 - 1 + 8 - 1 - 4 - 3 + 8 + 2 + 9 + 6 - 8 + 7 + 1 + 2 - 1 + 5 - 5 + 8 + 1 - 8 - 8 - 2 - 7 + 8 - 6 + 7 + 7 + 8 - 1 + 7", "correct_answer": 45, "correct_count": 7, "total_samples": 10, "category": "necessary_feasible"} | null |
This dataset contains the data used in: Model-Adaptive Tool Necessity Reveals the Knowing-Doing Gap in LLM Tool Use.
📝 Paper: https://arxiv.org/abs/2605.14038
💻 Code + original data (GitHub): https://github.com/chengez/Tool-Cognition-Action
from datasets import load_dataset
ds = load_dataset("yizecheng/model-adaptive-tool-necessity")
train = ds["train"]
print(train.column_names)
train.jsonl: a unified view of the repo’s raw_data/.
Each row has:
domain (string): dataset domain directory under raw_data/, e.g. math_arithmetic_union or truthfulqa.model (string): model directory name under the domain, e.g. Llama-3.1-8B-Instruct, Qwen3-8B.necessity (nullable string): necessary or unnecessary. This is taken from the filename prefix in raw_data/ (files beginning with necessary_ or unnecessary_).raw_data/truthfulqa/Llama-3.1-8B-Instruct/necessary_called.json → necessity = "necessary".action (nullable string): called or notcalled. This is derived from the filename suffix (_called / _Notcalled).necessary_Notcalled.json → action = "notcalled".record_type (string): what kind of record this row represents.sample: a sample-level row coming from one of the four per-model split files under raw_data/:necessary_called.json, necessary_Notcalled.json, unnecessary_called.json, unnecessary_Notcalled.json.raw_data/math_arithmetic_union/Qwen3-4B/necessary_called.json → record_type = "sample".output: a model-generation row coming from *_outputs.json files that contain model outputs for a given split and model.necessary_Qwen3-4B_outputs.json or unnecessary_Llama-3.1-8B-Instruct_outputs.json → record_type = "output".source_file / source_path (string): the filename and full path (workspace-relative) of the originating file under raw_data/.id (string): sample identifier shared between sample rows and corresponding output rows.history (string): JSON-encoded value of the original history field (list of message objects). Use json.loads(row['history']) to parse.function (string): JSON-encoded list of function/tool spec objects for the sample. Tool parameter schemas vary across domains (for example some tools use query, others use expression). Encoding as a JSON string ensures a stable top-level schema for HF; parse with json.loads(row['function']).metadata (string): JSON-encoded metadata object from the original files (e.g., correctness counts). Parse with json.loads(row['metadata']).output (string or null): for record_type == 'output', a JSON-encoded object containing the model generation; for sample rows this is null. Parse with json.loads(row['output']) when present.Example filename mappings (raw_data → unified fields):
raw_data/<domain>/<model>/necessary_called.json → record_type=sample, necessity=necessary, action=called.raw_data/<domain>/<model>/unnecessary_Qwen3-8B_outputs.json → record_type=output, necessity=unnecessary, action inferred by matching id against the called/notcalled splits.raw_data/: original per-model/per-domain files
from datasets import load_dataset
ds = load_dataset("yizecheng/model-adaptive-tool-necessity")["train"]
rows = ds.filter(
lambda row: row["record_type"] == "sample"
and row["domain"] == "math_arithmetic_union"
and row["model"] == "Llama-3.1-8B-Instruct"
)
called = rows.filter(lambda row: row["necessity"] == "necessary" and row["action"] == "called")
notcalled = rows.filter(lambda row: row["necessity"] == "necessary" and row["action"] == "notcalled")
unnecessary_called = rows.filter(lambda row: row["necessity"] == "unnecessary" and row["action"] == "called")
unnecessary_notcalled = rows.filter(lambda row: row["necessity"] == "unnecessary" and row["action"] == "notcalled")
print("necessary_called", len(called))
print("necessary_notcalled", len(notcalled))
print("unnecessary_called", len(unnecessary_called))
print("unnecessary_notcalled", len(unnecessary_notcalled))