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# GENERATOR (PROBLEM SOLVER)
Instruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:
1. A specific question or problem to solve
2. A cheatsheet containing relevant strate... | [
"<think>\nOkay, let's tackle this problem: Find the largest prime factor of 18⁴ + 12⁵ - 6⁶. Hmm, first, I need to calculate each term separately and then combine them. But wait, maybe there's a way to factor this expression before calculating the actual numbers, which might be easier. Let me think.\n\nStarting with... | 11 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem step by step. First, I need to understand what's be(...TRUNCATED) | 128 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem step by step. The question is asking how many numbers bet(...TRUNCATED) | 1002 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem. So, we have an 8x8 grid filled with numbers 1 to 6(...TRUNCATED) | 88 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem. So the question is: If 500 is expressed as a sum of at l(...TRUNCATED) | 32 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's try to tackle this problem step by step. So, the question is about a light ra(...TRUNCATED) | 10 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem step by step. So, we have a monic polynomial p(x) of degr(...TRUNCATED) | 40328 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem. So, we need to find the arithmetic mean of the lea(...TRUNCATED) | 2016 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem. So, there's a ball that was floating in a lake, an(...TRUNCATED) | 13 | [
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"# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked wit(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the value of 14x² + 25xy + 14y² given the equations 3x (...TRUNCATED) | 85 | [
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