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"To determine which option could represent a distinguishable energy difference between two quantum s(...TRUNCATED)
"To determine which option could represent a distinguishable energy difference between two quantum s(...TRUNCATED)
[{"id":"148000","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"size 12{ΔE Δt >= h\(...TRUNCATED)
"To determine the number of carbon atoms in product 3, we need to analyze the provided chemical reac(...TRUNCATED)
"To determine the number of carbon atoms in product 3, we need to analyze the provided chemical reac(...TRUNCATED)
[{"id":"32322","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"(d) 2 – methyl pent (...TRUNCATED)
"To determine the expectation value of the operator \\( 10\\sigma_z + 5\\sigma_x \\) for the spin-ha(...TRUNCATED)
"To determine the expectation value of the operator \\( 10\\sigma_z + 5\\sigma_x \\) for the spin-ha(...TRUNCATED)
[{"id":"2027","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"thus been reduced to fi(...TRUNCATED)
"### Step 1: Identifying the Essential Problem\n\nThe essential problem at hand is the consideration(...TRUNCATED)
"### Step 1: Identifying the Essential Problem\n\nThe essential problem at hand is the consideration(...TRUNCATED)
[{"id":"2999","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"equation given below. #(...TRUNCATED)
"To solve the problem of finding the eigenvector of the quantum mechanical operator \\(\\vec{P}\\) f(...TRUNCATED)
"To solve the problem of finding the eigenvector of the quantum mechanical operator \\(\\vec{P}\\) f(...TRUNCATED)
[{"id":"131658","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"(an operator is a fun(...TRUNCATED)
"When analyzing the potential given in the problem—\\[ V(r, \\theta) = \\frac{1}{2} kr^2 + \\frac{(...TRUNCATED)
"When analyzing the potential given in the problem—\\[ V(r, \\theta) = \\frac{1}{2} kr^2 + \\frac{(...TRUNCATED)
[{"id":"167553","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"isotropic three-dimen(...TRUNCATED)
"To address the question of the energy threshold above which high-energy \\(\\gamma\\)-rays would ha(...TRUNCATED)
"To address the question of the energy threshold above which high-energy \\(\\gamma\\)-rays would ha(...TRUNCATED)
[{"id":"5977","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"\\textit{Cosmic Microwa(...TRUNCATED)
"To analyze the results of the experiment with the three candidate genes (G1, G2, G3) and their knoc(...TRUNCATED)
"To analyze the results of the experiment with the three candidate genes (G1, G2, G3) and their knoc(...TRUNCATED)
[{"id":"7737","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"possible mechanisms to (...TRUNCATED)
"To analyze which of the listed molecules has C3h symmetry, we first need to understand what C3h sym(...TRUNCATED)
"To analyze which of the listed molecules has C3h symmetry, we first need to understand what C3h sym(...TRUNCATED)
[{"id":"29175","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"is the ammonia molecul(...TRUNCATED)
"To determine which exoplanet has the highest density among the given options, we must first compreh(...TRUNCATED)
"To determine which exoplanet has the highest density among the given options, we must first compreh(...TRUNCATED)
[{"id":"8980","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"Earth's density. Kepler(...TRUNCATED)
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