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[ { "content": "Use python for all calculations. Give your answer inside \\boxed{}.", "role": "system", "reasoning_content": null, "tool_calls": null }, { "content": "What is the degree of the polynomial $(4 +5x^3 +100 +2\\pi x^4 + \\sqrt{10}x^4 +9)$?", "role": "user", "reasoning_conte...
[ { "content": null, "role": "assistant", "reasoning_content": null, "tool_calls": [ { "function": { "arguments": "{\"code\":\"import math\\ncoeff_x4 = 2*math.pi + math.sqrt(10)\\ncoeff_x3 = 5\\nconst = 4+100+9\\ncoeff_x4, coeff_x3, const\\n\"}", "name": "python", ...
[{"function": {"description": "Execute `code` inside persistent Python REPL.", "name": "python", "parameters": {"$defs": {"PythonWorkerState": {"additionalProperties": false, "properties": {"execution_count": {"title": "Execution Count", "type": "integer"}, "ready": {"title": "Ready", "type": "boolean"}}, "required": ["ready", "execution_count"], "title": "PythonWorkerState", "type": "object"}}, "additionalProperties": false, "properties": {"code": {"title": "Code", "type": "string"}}, "required": ["code"], "title": "python_args", "type": "object"}}, "type": "function"}]
[ { "content": "Use python for all calculations. Give your answer inside \\boxed{}.", "role": "system", "reasoning_content": null, "tool_calls": null }, { "content": "Evaluate $\\left\\lceil3\\left(6-\\frac12\\right)\\right\\rceil$.", "role": "user", "reasoning_content": null, "too...
[ { "content": null, "role": "assistant", "reasoning_content": null, "tool_calls": [ { "function": { "arguments": "{\"code\":\"import math\\nval = 3*(6-0.5)\\nres = math.ceil(val)\\nval, res\"}", "name": "python", "type": null }, "id": "call_...
[{"function": {"description": "Execute `code` inside persistent Python REPL.", "name": "python", "parameters": {"$defs": {"PythonWorkerState": {"additionalProperties": false, "properties": {"execution_count": {"title": "Execution Count", "type": "integer"}, "ready": {"title": "Ready", "type": "boolean"}}, "required": ["ready", "execution_count"], "title": "PythonWorkerState", "type": "object"}}, "additionalProperties": false, "properties": {"code": {"title": "Code", "type": "string"}}, "required": ["code"], "title": "python_args", "type": "object"}}, "type": "function"}]
[ { "content": "Use python for all calculations. Give your answer inside \\boxed{}.", "role": "system", "reasoning_content": null, "tool_calls": null }, { "content": "Let \\[f(x) = \\left\\{\n\\begin{array}{cl} ax+3, &\\text{ if }x>2, \\\\\nx-5 &\\text{ if } -2 \\le x \\le 2, \\\\\n2x-b &\\tex...
[ { "content": null, "role": "assistant", "reasoning_content": null, "tool_calls": [ { "function": { "arguments": "{\"code\":\"a = -3\\nb = 3\\nprint(a + b)\\n\"}", "name": "python", "type": null }, "id": "call_kBznzmBhc5k9H4Qt3FWXuesQ", ...
[{"function": {"description": "Execute `code` inside persistent Python REPL.", "name": "python", "parameters": {"$defs": {"PythonWorkerState": {"additionalProperties": false, "properties": {"execution_count": {"title": "Execution Count", "type": "integer"}, "ready": {"title": "Ready", "type": "boolean"}}, "required": ["ready", "execution_count"], "title": "PythonWorkerState", "type": "object"}}, "additionalProperties": false, "properties": {"code": {"title": "Code", "type": "string"}}, "required": ["code"], "title": "python_args", "type": "object"}}, "type": "function"}]
[ { "content": "Use python for all calculations. Give your answer inside \\boxed{}.", "role": "system", "reasoning_content": null, "tool_calls": null }, { "content": "Sam is hired for a 20-day period. On days that he works, he earns $\\$$60. For each day that he does not work, $\\$$30 is subtr...
[ { "content": null, "role": "assistant", "reasoning_content": null, "tool_calls": [ { "function": { "arguments": "{\"code\":\"n = 6\\nw = 20 - n\\nE = 60*w - 30*n\\nE\\n\"}", "name": "python", "type": null }, "id": "call_iMz9VbXLf6Q8apARcxSx...
[{"function": {"description": "Execute `code` inside persistent Python REPL.", "name": "python", "parameters": {"$defs": {"PythonWorkerState": {"additionalProperties": false, "properties": {"execution_count": {"title": "Execution Count", "type": "integer"}, "ready": {"title": "Ready", "type": "boolean"}}, "required": ["ready", "execution_count"], "title": "PythonWorkerState", "type": "object"}}, "additionalProperties": false, "properties": {"code": {"title": "Code", "type": "string"}}, "required": ["code"], "title": "python_args", "type": "object"}}, "type": "function"}]
[ { "content": "Use python for all calculations. Give your answer inside \\boxed{}.", "role": "system", "reasoning_content": null, "tool_calls": null }, { "content": "A rectangular band formation is a formation with $m$ band members in each of $r$ rows, where $m$ and $r$ are integers. A partic...
[ { "content": null, "role": "assistant", "reasoning_content": null, "tool_calls": [ { "function": { "arguments": "{\"code\":\"solutions = []\\nfor m in range(1,50):\\n r = 2*m+4\\n N = m*r + 2\\n if N == (m+1)*(r-2) and N < 100 and r>2:\\n solutions.append((N,m...
[{"function": {"description": "Execute `code` inside persistent Python REPL.", "name": "python", "parameters": {"$defs": {"PythonWorkerState": {"additionalProperties": false, "properties": {"execution_count": {"title": "Execution Count", "type": "integer"}, "ready": {"title": "Ready", "type": "boolean"}}, "required": ["ready", "execution_count"], "title": "PythonWorkerState", "type": "object"}}, "additionalProperties": false, "properties": {"code": {"title": "Code", "type": "string"}}, "required": ["code"], "title": "python_args", "type": "object"}}, "type": "function"}]
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