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)=85.54 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.8721 mol. | {
"id": "WUA_CHEM_25K_012601",
"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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"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=1.93 M, V1=38 ... | M2 = 0.083 M. | {
"id": "WUA_CHEM_25K_012602",
"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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{
"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+] = 1.5e-06 ... | pH ≈ 5.82. | {
"id": "WUA_CHEM_25K_012603",
"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"
}
] | {
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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 molarity M = n/V. Given n=1.85 mol and V... | M = 2.026 mol/L. | {
"id": "WUA_CHEM_25K_012604",
"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"
}
] | {
"max_tokens_hint": 220,
"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": "Dilution: M1*V1 = M2*V2. Given M1=0.98 M, V1=56 ... | M2 = 0.113 M. | {
"id": "WUA_CHEM_25K_012605",
"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"
}
] | {
"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=0.47 mol, T=311 K, V=47.41 L... | P ≈ 0.253 atm. | {
"id": "WUA_CHEM_25K_012606",
"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... | [
{
"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": "Use PV=nRT. Given n=0.34 mol, T=328 K, V=34.49 L... | P ≈ 0.265 atm. | {
"id": "WUA_CHEM_25K_012607",
"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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"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 molarity M = n/V. Given n=0.829 mol and ... | M = 0.611 mol/L. | {
"id": "WUA_CHEM_25K_012608",
"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",
"... | [
{
"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+] = 0.0462 m... | pH ≈ 1.34. | {
"id": "WUA_CHEM_25K_012609",
"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=1.9 mol and V=... | M = 0.712 mol/L. | {
"id": "WUA_CHEM_25K_012610",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=-243 kJ/mol, ΔS=... | ΔG = -343.80 kJ/mol. | {
"id": "WUA_CHEM_25K_012611",
"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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] | {
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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=13 kJ/mol, ΔS=-2... | ΔG = 126.20 kJ/mol. | {
"id": "WUA_CHEM_25K_012612",
"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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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
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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=0.37 mol, T=263 K, V=15.35 L... | P ≈ 0.520 atm. | {
"id": "WUA_CHEM_25K_012613",
"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"
}
] | {
"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=231 kJ/mol, ΔS=-... | ΔG = 326.87 kJ/mol. | {
"id": "WUA_CHEM_25K_012614",
"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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"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=-161 kJ/mol, ΔS=... | ΔG = -68.68 kJ/mol. | {
"id": "WUA_CHEM_25K_012615",
"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",
"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)=50.25 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 0.5299 mol. | {
"id": "WUA_CHEM_25K_012616",
"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": "Reaction: A + 2B → C. mass(A)=115.42 g (M=98.08 ... | Limiting reagent: B. Moles of C formed = 0.1710 mol. | {
"id": "WUA_CHEM_25K_012617",
"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 molarity M = n/V. Given n=2.142 mol and ... | M = 1.931 mol/L. | {
"id": "WUA_CHEM_25K_012618",
"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": "Reaction: A + 2B → C. mass(A)=103.6 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 1.7728 mol. | {
"id": "WUA_CHEM_25K_012619",
"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+] = 2.64e-11... | pH ≈ 10.58. | {
"id": "WUA_CHEM_25K_012620",
"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": "Reaction: A + 2B → C. mass(A)=13.38 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.4181 mol. | {
"id": "WUA_CHEM_25K_012621",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=112 kJ/mol, ΔS=-... | ΔG = 196.15 kJ/mol. | {
"id": "WUA_CHEM_25K_012622",
"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 molarity M = n/V. Given n=0.974 mol and ... | M = 5.181 mol/L. | {
"id": "WUA_CHEM_25K_012623",
"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=4.03 mol, T=347 K, V=9.18 L,... | P ≈ 12.500 atm. | {
"id": "WUA_CHEM_25K_012624",
"domain": "master_scholars_academics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.87 M, V1=137... | M2 = 0.215 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=197 kJ/mol, ΔS=-... | ΔG = 205.71 kJ/mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=11.88 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.3713 mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.04 M, V1=150... | M2 = 0.317 M. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=85.56 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.8723 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-140 kJ/mol, ΔS=... | ΔG = -98.00 kJ/mol. | {
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-242 kJ/mol, ΔS=... | ΔG = -356.60 kJ/mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.27 M, V1=235... | M2 = 0.502 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=117.24 g (M=32.0 g... | Limiting reagent: B. Moles of C formed = 1.2986 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=1.248 mol and ... | M = 0.865 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=51.54 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.8819 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=0 kJ/mol, ΔS=39 ... | ΔG = -11.27 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=4.36 mol, T=321 K, V=40.8 L,... | P ≈ 2.815 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.000416... | pH ≈ 3.38. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=1.04 mol, T=305 K, V=23.96 L... | P ≈ 1.086 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=41.66 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.7129 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.35 M, V1=152... | M2 = 0.064 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=4.3 mol, T=294 K, V=17.87 L,... | P ≈ 5.805 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=0.33 mol, T=283 K, V=28.5 L,... | P ≈ 0.269 atm. | {
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"subdomain": "chemistry_math::gas_laws",
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"role": "user",
"content": "Use PV=nRT. Given n=4.33 mol, T=320 K, V=35.76 L... | P ≈ 3.179 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.5 M, V1=45 m... | M2 = 0.034 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=27.82 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.6321 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"content": "Use PV=nRT. Given n=0.69 mol, T=276 K, V=34.97 L... | P ≈ 0.447 atm. | {
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"content": "Reaction: A + 2B → C. mass(A)=81.52 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.8312 mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=17.69 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.1804 mol. | {
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"domain": "master_scholars_academics",
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"content": "Reaction: A + 2B → C. mass(A)=20.43 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.6384 mol. | {
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{
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"content": "Reaction: A + 2B → C. mass(A)=11.72 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.1195 mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.9 M, V1=56 m... | M2 = 0.177 M. | {
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"domain": "master_scholars_academics",
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"content": "Use PV=nRT. Given n=1.52 mol, T=252 K, V=2.27 L,... | P ≈ 13.846 atm. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=4.9 mol, T=329 K, V=2.7 L, R... | P ≈ 48.994 atm. | {
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"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=1.67 mol, T=339 K, V=42.51 L... | P ≈ 1.093 atm. | {
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"domain": "master_scholars_academics",
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"content": "Compute pH = -log10([H+]). Given [H+] = 3.46e-11... | pH ≈ 10.46. | {
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"domain": "master_scholars_academics",
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=33.95 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.5809 mol. | {
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"domain": "master_scholars_academics",
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"role": "user",
"content": "Use PV=nRT. Given n=4.67 mol, T=334 K, V=37.65 L... | P ≈ 3.399 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=1.38 mol, T=270 K, V=18.02 L... | P ≈ 1.697 atm. | {
"id": "WUA_CHEM_25K_012662",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-224 kJ/mol, ΔS=... | ΔG = -284.75 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=-6 kJ/mol, ΔS=26... | ΔG = -113.46 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute molarity M = n/V. Given n=2.468 mol and ... | M = 1.609 mol/L. | {
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"subdomain": "chemistry_math::solutions",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=45 kJ/mol, ΔS=14... | ΔG = 37.33 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.28 M, V1=105... | M2 = 0.526 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+] = 0.000118... | pH ≈ 3.93. | {
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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+] = 4.88e-07... | pH ≈ 6.31. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.84 mol and V... | M = 1.847 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=0.374 mol and ... | M = 0.532 mol/L. | {
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},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 6.17e-12... | pH ≈ 11.21. | {
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"domain": "master_scholars_academics",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 3.5e-12 ... | pH ≈ 11.46. | {
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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=0.89 mol, T=279 K, V=41.09 L... | P ≈ 0.496 atm. | {
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-239 kJ/mol, ΔS=... | ΔG = -317.30 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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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=0.62 M, V1=28 ... | M2 = 0.027 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-112 kJ/mol, ΔS=... | ΔG = -27.61 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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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."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.13 mol, T=304 K, V=33.04 L... | P ≈ 0.853 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"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."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=101.45 g (M=44.01 ... | Limiting reagent: A. Moles of C formed = 2.3052 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"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": "Compute pH = -log10([H+]). Given [H+] = 7.28e-12... | pH ≈ 11.14. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
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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."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.87 M, V1=14 ... | M2 = 0.047 M. | {
"id": "WUA_CHEM_25K_012681",
"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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"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=2.46 mol, T=336 K, V=44.01 L... | P ≈ 1.541 atm. | {
"id": "WUA_CHEM_25K_012682",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"wrapper": "minimal_chain",
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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": "Compute pH = -log10([H+]). Given [H+] = 3.28e-08... | pH ≈ 7.48. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.99 M, V1=53 ... | M2 = 0.146 M. | {
"id": "WUA_CHEM_25K_012684",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0756 m... | pH ≈ 1.12. | {
"id": "WUA_CHEM_25K_012685",
"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": "Compute pH = -log10([H+]). Given [H+] = 1.26e-09... | pH ≈ 8.90. | {
"id": "WUA_CHEM_25K_012686",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.5 mol, T=328 K, V=26.97 L,... | P ≈ 3.493 atm. | {
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"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."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=4.99 mol, T=346 K, V=11.07 L... | P ≈ 12.798 atm. | {
"id": "WUA_CHEM_25K_012688",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
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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 ΔG = ΔH - TΔS. Given ΔH=-118 kJ/mol, ΔS=... | ΔG = -149.25 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."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.77 mol, T=301 K, V=7.35 L,... | P ≈ 5.948 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.64 M, V1=235... | M2 = 0.643 M. | {
"id": "WUA_CHEM_25K_012691",
"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=2.77 M, V1=182... | M2 = 0.716 M. | {
"id": "WUA_CHEM_25K_012692",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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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{
"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)=18.27 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.5709 mol. | {
"id": "WUA_CHEM_25K_012693",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"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": "Compute molarity M = n/V. Given n=0.411 mol and ... | M = 0.168 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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