prompt dict | response stringlengths 10 165 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=47.42 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 1.1245 mol. | {
"id": "WUA_CHEM_25K_014901",
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"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",... | [
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"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=73.05 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.9046 mol. | {
"id": "WUA_CHEM_25K_014902",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.211 mol and ... | M = 0.079 mol/L. | {
"id": "WUA_CHEM_25K_014903",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=4.86 mol, T=323 K, V=23.13 L... | P ≈ 5.569 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.676 mol and ... | M = 0.637 mol/L. | {
"id": "WUA_CHEM_25K_014905",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.95 M, V1=26 ... | M2 = 0.209 M. | {
"id": "WUA_CHEM_25K_014906",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
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"source_title": "Self-contained in prompt",
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"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.72 M, V1=159... | M2 = 0.672 M. | {
"id": "WUA_CHEM_25K_014907",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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"style_contract": "concise_formal"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=113 kJ/mol, ΔS=2... | ΔG = -87.27 kJ/mol. | {
"id": "WUA_CHEM_25K_014908",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=190 kJ/mol, ΔS=-... | ΔG = 298.40 kJ/mol. | {
"id": "WUA_CHEM_25K_014909",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=87.92 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.9977 mol. | {
"id": "WUA_CHEM_25K_014910",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.07e-13... | pH ≈ 12.97. | {
"id": "WUA_CHEM_25K_014911",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 2.39e-11... | pH ≈ 10.62. | {
"id": "WUA_CHEM_25K_014912",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.132 mol and ... | M = 0.759 mol/L. | {
"id": "WUA_CHEM_25K_014913",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.939 mol and ... | M = 0.798 mol/L. | {
"id": "WUA_CHEM_25K_014914",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.758 mol and ... | M = 0.310 mol/L. | {
"id": "WUA_CHEM_25K_014915",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=51 kJ/mol, ΔS=29... | ΔG = -140.91 kJ/mol. | {
"id": "WUA_CHEM_25K_014916",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-117 kJ/mol, ΔS=... | ΔG = -193.50 kJ/mol. | {
"id": "WUA_CHEM_25K_014917",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.47 M, V1=94 ... | M2 = 0.952 M. | {
"id": "WUA_CHEM_25K_014918",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.098 mol and ... | M = 0.228 mol/L. | {
"id": "WUA_CHEM_25K_014919",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.4 M, V1=153 ... | M2 = 0.593 M. | {
"id": "WUA_CHEM_25K_014920",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
"source_title": "Self-contained in prompt",
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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=232 kJ/mol, ΔS=2... | ΔG = 171.34 kJ/mol. | {
"id": "WUA_CHEM_25K_014921",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=72 kJ/mol, ΔS=22... | ΔG = 62.03 kJ/mol. | {
"id": "WUA_CHEM_25K_014922",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0"... | [
{
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"evidence_type": "self_contained",
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}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 5.83e-09... | pH ≈ 8.23. | {
"id": "WUA_CHEM_25K_014923",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=2.36 mol, T=289 K, V=19.61 L... | P ≈ 2.854 atm. | {
"id": "WUA_CHEM_25K_014924",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-231 kJ/mol, ΔS=... | ΔG = -43.75 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=217 kJ/mol, ΔS=2... | ΔG = 89.59 kJ/mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.00671 ... | pH ≈ 2.17. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.77 M, V1=243... | M2 = 1.012 M. | {
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"domain": "master_scholars_academics",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-97 kJ/mol, ΔS=3... | ΔG = -115.32 kJ/mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=77.11 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.0807 mol. | {
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"content": "Use PV=nRT. Given n=0.55 mol, T=300 K, V=25.94 L... | P ≈ 0.522 atm. | {
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"content": "Use PV=nRT. Given n=2.79 mol, T=287 K, V=48.3 L,... | P ≈ 1.360 atm. | {
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"content": "Compute molarity M = n/V. Given n=0.492 mol and ... | M = 0.312 mol/L. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.79 M, V1=176... | M2 = 0.387 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=75.28 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 4.1776 mol. | {
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"domain": "master_scholars_academics",
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"content": "Reaction: A + 2B → C. mass(A)=30.84 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.5277 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.6 M, V1=91 m... | M2 = 0.325 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=41.91 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.9523 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=1.178 mol and ... | M = 1.807 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
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"content": "Reaction: A + 2B → C. mass(A)=104.18 g (M=32.0 g... | Limiting reagent: B. Moles of C formed = 0.9016 mol. | {
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"domain": "master_scholars_academics",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=178 kJ/mol, ΔS=1... | ΔG = 53.19 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Use PV=nRT. Given n=0.77 mol, T=266 K, V=39.61 L... | P ≈ 0.424 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=91.79 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.9359 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"content": "Compute molarity M = n/V. Given n=1.992 mol and ... | M = 0.805 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.13 M, V1=115... | M2 = 0.208 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
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"content": "Reaction: A + 2B → C. mass(A)=32.46 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 1.0144 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-229 kJ/mol, ΔS=... | ΔG = -160.55 kJ/mol. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.77 mol, T=330 K, V=13.96 L... | P ≈ 7.313 atm. | {
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.37 M, V1=201... | M2 = 0.532 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=4 kJ/mol, ΔS=-7 ... | ΔG = 6.00 kJ/mol. | {
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=19 kJ/mol, ΔS=-9... | ΔG = 51.40 kJ/mol. | {
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.47 M, V1=155... | M2 = 0.115 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.44e-13... | pH ≈ 12.84. | {
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 5.64e-07... | pH ≈ 6.25. | {
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0295 m... | pH ≈ 1.53. | {
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 4.36e-06... | pH ≈ 5.36. | {
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"domain": "master_scholars_academics",
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"content": "Use PV=nRT. Given n=4.3 mol, T=265 K, V=38.66 L,... | P ≈ 2.419 atm. | {
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"domain": "master_scholars_academics",
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"content": "Compute molarity M = n/V. Given n=2.083 mol and ... | M = 0.949 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=25.56 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.4374 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=118.68 g (M=18.02 ... | Limiting reagent: B. Moles of C formed = 2.3021 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-103 kJ/mol, ΔS=... | ΔG = 3.17 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 2.59e-05... | pH ≈ 4.59. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=4.98 mol, T=325 K, V=17.55 L... | P ≈ 7.567 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=3.77 mol, T=277 K, V=14.73 L... | P ≈ 5.817 atm. | {
"id": "WUA_CHEM_25K_014965",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=24.13 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.5483 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=3.15 mol, T=321 K, V=8.77 L,... | P ≈ 9.461 atm. | {
"id": "WUA_CHEM_25K_014967",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.94e-10... | pH ≈ 9.71. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.567 mol and ... | M = 0.481 mol/L. | {
"id": "WUA_CHEM_25K_014969",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.406 mol and ... | M = 3.887 mol/L. | {
"id": "WUA_CHEM_25K_014970",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=0.76 mol, T=310 K, V=16.43 L... | P ≈ 1.177 atm. | {
"id": "WUA_CHEM_25K_014971",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-98 kJ/mol, ΔS=-... | ΔG = -17.76 kJ/mol. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.44 mol, T=302 K, V=2.41 L,... | P ≈ 35.372 atm. | {
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 5.77e-08... | pH ≈ 7.24. | {
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"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.2 mol, T=256 K, V=3.96 L, ... | P ≈ 16.975 atm. | {
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 4.97e-12... | pH ≈ 11.30. | {
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"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"... | [
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.92 mol, T=273 K, V=14.14 L... | P ≈ 6.210 atm. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Use PV=nRT. Given n=4.09 mol, T=251 K, V=14.34 L... | P ≈ 5.874 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=50.02 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.5100 mol. | {
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"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-64 kJ/mol, ΔS=-... | ΔG = -37.00 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.17 M, V1=12 ... | M2 = 0.260 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.32 M, V1=37 ... | M2 = 0.152 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=1.501 mol and ... | M = 1.592 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.352 mol and ... | M = 1.765 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=173 kJ/mol, ΔS=-... | ΔG = 274.63 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-164 kJ/mol, ΔS=... | ΔG = -220.39 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=89.31 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.4925 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=65.75 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 2.0547 mol. | {
"id": "WUA_CHEM_25K_014988",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"license": "cc-by-4.0",... | [
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-70 kJ/mol, ΔS=4... | ΔG = -100.05 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.98 mol, T=268 K, V=25.97 L... | P ≈ 3.370 atm. | {
"id": "WUA_CHEM_25K_014990",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.084 mol and ... | M = 0.042 mol/L. | {
"id": "WUA_CHEM_25K_014991",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.23 mol, T=313 K, V=47.25 L... | P ≈ 0.669 atm. | {
"id": "WUA_CHEM_25K_014992",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.49 M, V1=141... | M2 = 0.133 M. | {
"id": "WUA_CHEM_25K_014993",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.32 mol, T=268 K, V=43.43 L... | P ≈ 0.668 atm. | {
"id": "WUA_CHEM_25K_014994",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
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"t... | [
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