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": "Compute molarity M = n/V. Given n=0.762 mol and ... | M = 0.518 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"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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"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=2.413 mol and ... | M = 0.995 mol/L. | {
"id": "WUA_CHEM_25K_008102",
"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",
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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": "Compute pH = -log10([H+]). Given [H+] = 1.64e-12... | pH ≈ 11.79. | {
"id": "WUA_CHEM_25K_008103",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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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"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": "Reaction: A + 2B → C. mass(A)=62.53 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 1.3016 mol. | {
"id": "WUA_CHEM_25K_008104",
"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",... | [
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"evidence_type": "self_contained",
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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=1.07 M, V1=118... | M2 = 0.457 M. | {
"id": "WUA_CHEM_25K_008105",
"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... | [
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"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 pH = -log10([H+]). Given [H+] = 8.42e-07... | pH ≈ 6.07. | {
"id": "WUA_CHEM_25K_008106",
"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... | [
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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=-240 kJ/mol, ΔS=... | ΔG = -147.66 kJ/mol. | {
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"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",
... | [
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"evidence_type": "self_contained",
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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+] = 1.17e-07... | pH ≈ 6.93. | {
"id": "WUA_CHEM_25K_008108",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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 molarity M = n/V. Given n=2.292 mol and ... | M = 1.046 mol/L. | {
"id": "WUA_CHEM_25K_008109",
"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"
}
] | {
"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": "Dilution: M1*V1 = M2*V2. Given M1=1.38 M, V1=23 ... | M2 = 0.113 M. | {
"id": "WUA_CHEM_25K_008110",
"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"
}
] | {
"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": "Use PV=nRT. Given n=2.89 mol, T=308 K, V=18.71 L... | P ≈ 3.904 atm. | {
"id": "WUA_CHEM_25K_008111",
"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",
"tag... | [
{
"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)=48.19 g (M=98.08 g... | Limiting reagent: B. Moles of C formed = 0.2043 mol. | {
"id": "WUA_CHEM_25K_008112",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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"
}
] | {
"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+] = 8.44e-13... | pH ≈ 12.07. | {
"id": "WUA_CHEM_25K_008113",
"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"
}
] | {
"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 ΔG = ΔH - TΔS. Given ΔH=-167 kJ/mol, ΔS=... | ΔG = -161.70 kJ/mol. | {
"id": "WUA_CHEM_25K_008114",
"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": "Compute molarity M = n/V. Given n=1.443 mol and ... | M = 1.042 mol/L. | {
"id": "WUA_CHEM_25K_008115",
"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": "Reaction: A + 2B → C. mass(A)=99.98 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 3.1244 mol. | {
"id": "WUA_CHEM_25K_008116",
"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",
"... | [
{
"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)=99.73 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 4.8609 mol. | {
"id": "WUA_CHEM_25K_008117",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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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{
"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=1.18 mol, T=295 K, V=20.08 L... | P ≈ 1.423 atm. | {
"id": "WUA_CHEM_25K_008118",
"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",
"tag... | [
{
"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=2.96 mol, T=302 K, V=4.28 L,... | P ≈ 17.138 atm. | {
"id": "WUA_CHEM_25K_008119",
"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",
"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 pH = -log10([H+]). Given [H+] = 0.0144 m... | pH ≈ 1.84. | {
"id": "WUA_CHEM_25K_008120",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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=-37 kJ/mol, ΔS=6... | ΔG = -62.44 kJ/mol. | {
"id": "WUA_CHEM_25K_008121",
"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)=99.69 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 2.8355 mol. | {
"id": "WUA_CHEM_25K_008122",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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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{
"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)=72.04 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 0.7463 mol. | {
"id": "WUA_CHEM_25K_008123",
"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"
}
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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+] = 7.66e-12... | pH ≈ 11.12. | {
"id": "WUA_CHEM_25K_008124",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=2.04 mol, T=315 K, V=23.19 L... | P ≈ 2.274 atm. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.21e-11... | pH ≈ 10.38. | {
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"content": "Use PV=nRT. Given n=3.54 mol, T=293 K, V=17.97 L... | P ≈ 4.736 atm. | {
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.57 M, V1=152... | M2 = 0.090 M. | {
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"domain": "master_scholars_academics",
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"content": "Compute molarity M = n/V. Given n=1.526 mol and ... | M = 5.802 mol/L. | {
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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)=90.15 g (M=98.08 g... | Limiting reagent: B. Moles of C formed = 0.1918 mol. | {
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"content": "Compute molarity M = n/V. Given n=0.498 mol and ... | M = 1.307 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=54 kJ/mol, ΔS=-1... | ΔG = 135.09 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-43 kJ/mol, ΔS=-... | ΔG = -40.14 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000256... | pH ≈ 3.59. | {
"id": "WUA_CHEM_25K_008134",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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": "Dilution: M1*V1 = M2*V2. Given M1=2.15 M, V1=152... | M2 = 1.945 M. | {
"id": "WUA_CHEM_25K_008135",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"... | [
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=45.17 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 2.5067 mol. | {
"id": "WUA_CHEM_25K_008136",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
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... | [
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000598... | pH ≈ 3.22. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.00211 ... | pH ≈ 2.68. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=184 kJ/mol, ΔS=2... | ΔG = 38.23 kJ/mol. | {
"id": "WUA_CHEM_25K_008139",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 2.48e-10... | pH ≈ 9.61. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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": "Reaction: A + 2B → C. mass(A)=63.3 g (M=58.44 g/... | Limiting reagent: A. Moles of C formed = 1.0832 mol. | {
"id": "WUA_CHEM_25K_008141",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=-40 kJ/mol, ΔS=-... | ΔG = -10.50 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=46.39 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.4730 mol. | {
"id": "WUA_CHEM_25K_008143",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"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."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000345... | pH ≈ 3.46. | {
"id": "WUA_CHEM_25K_008144",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0149 m... | pH ≈ 1.83. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=64.11 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.6537 mol. | {
"id": "WUA_CHEM_25K_008146",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=4.98 mol, T=339 K, V=26.33 L... | P ≈ 5.261 atm. | {
"id": "WUA_CHEM_25K_008147",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=0.27 mol, T=330 K, V=22.37 L... | P ≈ 0.327 atm. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.82 M, V1=139... | M2 = 0.247 M. | {
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"content": "Reaction: A + 2B → C. mass(A)=99.98 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 1.7039 mol. | {
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"content": "Use PV=nRT. Given n=2.2 mol, T=271 K, V=32.29 L,... | P ≈ 1.515 atm. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.22 M, V1=112... | M2 = 0.159 M. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.88 M, V1=113... | M2 = 1.112 M. | {
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"content": "Use PV=nRT. Given n=1.1 mol, T=321 K, V=12.99 L,... | P ≈ 2.231 atm. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.000598... | pH ≈ 3.22. | {
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"content": "Compute molarity M = n/V. Given n=1.245 mol and ... | M = 0.517 mol/L. | {
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"content": "Compute molarity M = n/V. Given n=0.979 mol and ... | M = 0.471 mol/L. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=186 kJ/mol, ΔS=2... | ΔG = 40.69 kJ/mol. | {
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"content": "Compute molarity M = n/V. Given n=2.456 mol and ... | M = 1.099 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.000848... | pH ≈ 3.07. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.62 M, V1=152... | M2 = 0.158 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-203 kJ/mol, ΔS=... | ΔG = -226.70 kJ/mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.69 M, V1=246... | M2 = 0.260 M. | {
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"content": "Use PV=nRT. Given n=3.73 mol, T=320 K, V=8.3 L, ... | P ≈ 11.800 atm. | {
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"content": "Compute molarity M = n/V. Given n=1.005 mol and ... | M = 0.536 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 8.3e-12 ... | pH ≈ 11.08. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=242 kJ/mol, ΔS=1... | ΔG = 186.58 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Reaction: A + 2B → C. mass(A)=102.87 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.7603 mol. | {
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-154 kJ/mol, ΔS=... | ΔG = -352.17 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-231 kJ/mol, ΔS=... | ΔG = -112.65 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+] = 0.057 mo... | pH ≈ 1.24. | {
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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=1.176 mol and ... | M = 1.198 mol/L. | {
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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+] = 2.85e-11... | pH ≈ 10.55. | {
"id": "WUA_CHEM_25K_008177",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=2.85 mol, T=320 K, V=6.67 L,... | P ≈ 11.220 atm. | {
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"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 3.2e-12 ... | pH ≈ 11.49. | {
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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=0.848 mol and ... | M = 0.403 mol/L. | {
"id": "WUA_CHEM_25K_008180",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=93.46 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 2.9206 mol. | {
"id": "WUA_CHEM_25K_008181",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"... | [
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.02 mol and V... | M = 1.335 mol/L. | {
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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=2.1 mol and V=... | M = 1.963 mol/L. | {
"id": "WUA_CHEM_25K_008183",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=72.53 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.6480 mol. | {
"id": "WUA_CHEM_25K_008184",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"... | [
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.96e-10... | pH ≈ 9.71. | {
"id": "WUA_CHEM_25K_008185",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0095 m... | pH ≈ 2.02. | {
"id": "WUA_CHEM_25K_008186",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 3.35e-07... | pH ≈ 6.47. | {
"id": "WUA_CHEM_25K_008187",
"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=0.237 mol and ... | M = 0.132 mol/L. | {
"id": "WUA_CHEM_25K_008188",
"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": "Dilution: M1*V1 = M2*V2. Given M1=0.6 M, V1=66 m... | M2 = 0.086 M. | {
"id": "WUA_CHEM_25K_008189",
"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": "Reaction: A + 2B → C. mass(A)=38.52 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 0.6085 mol. | {
"id": "WUA_CHEM_25K_008190",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "archon",
"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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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.255 mol and ... | M = 0.100 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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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=3.97 mol, T=264 K, V=13.21 L... | P ≈ 6.510 atm. | {
"id": "WUA_CHEM_25K_008192",
"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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"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+] = 1.33e-05... | pH ≈ 4.88. | {
"id": "WUA_CHEM_25K_008193",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
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},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=76.39 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.7789 mol. | {
"id": "WUA_CHEM_25K_008194",
"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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"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=0.86 M, V1=102... | M2 = 0.102 M. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.82e-12... | pH ≈ 11.55. | {
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