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 pH = -log10([H+]). Given [H+] = 1.83e-05... | pH ≈ 4.74. | {
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"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... | [
{
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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 pH = -log10([H+]). Given [H+] = 0.00769 ... | pH ≈ 2.11. | {
"id": "WUA_CHEM_25K_013802",
"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",
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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=0.459 mol and ... | M = 0.181 mol/L. | {
"id": "WUA_CHEM_25K_013803",
"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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"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": "Reaction: A + 2B → C. mass(A)=104.08 g (M=98.08 ... | Limiting reagent: A. Moles of C formed = 1.0612 mol. | {
"id": "WUA_CHEM_25K_013804",
"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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"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=-212 kJ/mol, ΔS=... | ΔG = -203.75 kJ/mol. | {
"id": "WUA_CHEM_25K_013805",
"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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"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=2.77 M, V1=128... | M2 = 0.455 M. | {
"id": "WUA_CHEM_25K_013806",
"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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"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)=64.9 g (M=98.08 g/... | Limiting reagent: A. Moles of C formed = 0.6617 mol. | {
"id": "WUA_CHEM_25K_013807",
"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",
... | [
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"source_url": "",
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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)=112.66 g (M=32.0 g... | Limiting reagent: B. Moles of C formed = 1.0707 mol. | {
"id": "WUA_CHEM_25K_013808",
"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": "Dilution: M1*V1 = M2*V2. Given M1=2.78 M, V1=113... | M2 = 0.383 M. | {
"id": "WUA_CHEM_25K_013809",
"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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"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=-209 kJ/mol, ΔS=... | ΔG = -92.22 kJ/mol. | {
"id": "WUA_CHEM_25K_013810",
"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=7 kJ/mol, ΔS=-29... | ΔG = 161.74 kJ/mol. | {
"id": "WUA_CHEM_25K_013811",
"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)=56.46 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.5534 mol. | {
"id": "WUA_CHEM_25K_013812",
"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+] = 3.85e-06... | pH ≈ 5.41. | {
"id": "WUA_CHEM_25K_013813",
"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": "Use PV=nRT. Given n=2.19 mol, T=265 K, V=36.47 L... | P ≈ 1.306 atm. | {
"id": "WUA_CHEM_25K_013814",
"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": "Use PV=nRT. Given n=2.4 mol, T=332 K, V=42.34 L,... | P ≈ 1.544 atm. | {
"id": "WUA_CHEM_25K_013815",
"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": "Use PV=nRT. Given n=0.33 mol, T=291 K, V=27.03 L... | P ≈ 0.292 atm. | {
"id": "WUA_CHEM_25K_013816",
"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",
"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=2.2 mol and V=... | M = 2.308 mol/L. | {
"id": "WUA_CHEM_25K_013817",
"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)=47.13 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 1.4728 mol. | {
"id": "WUA_CHEM_25K_013818",
"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)=14.73 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.2521 mol. | {
"id": "WUA_CHEM_25K_013819",
"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 ΔG = ΔH - TΔS. Given ΔH=185 kJ/mol, ΔS=3... | ΔG = 166.00 kJ/mol. | {
"id": "WUA_CHEM_25K_013820",
"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=1.23 M, V1=94 ... | M2 = 0.180 M. | {
"id": "WUA_CHEM_25K_013821",
"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)=24.04 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.4114 mol. | {
"id": "WUA_CHEM_25K_013822",
"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)=60.42 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.4493 mol. | {
"id": "WUA_CHEM_25K_013823",
"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": "Compute pH = -log10([H+]). Given [H+] = 1.36e-05... | pH ≈ 4.87. | {
"id": "WUA_CHEM_25K_013824",
"domain": "master_scholars_academics",
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"content": "Reaction: A + 2B → C. mass(A)=28.47 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.8897 mol. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=176 kJ/mol, ΔS=-... | ΔG = 214.86 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Reaction: A + 2B → C. mass(A)=75.72 g (M=98.08 g... | Limiting reagent: B. Moles of C formed = 0.4653 mol. | {
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"content": "Compute molarity M = n/V. Given n=2.488 mol and ... | M = 2.243 mol/L. | {
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.23e-12... | pH ≈ 11.91. | {
"id": "WUA_CHEM_25K_013829",
"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+] = 3.11e-06... | pH ≈ 5.51. | {
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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=0.98 mol, T=325 K, V=27.78 L... | P ≈ 0.941 atm. | {
"id": "WUA_CHEM_25K_013831",
"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": "Dilution: M1*V1 = M2*V2. Given M1=0.61 M, V1=138... | M2 = 0.290 M. | {
"id": "WUA_CHEM_25K_013832",
"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": "Use PV=nRT. Given n=4.97 mol, T=275 K, V=40.27 L... | P ≈ 2.785 atm. | {
"id": "WUA_CHEM_25K_013833",
"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": "Use PV=nRT. Given n=2.16 mol, T=264 K, V=43.61 L... | P ≈ 1.073 atm. | {
"id": "WUA_CHEM_25K_013834",
"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": "Use PV=nRT. Given n=3.53 mol, T=307 K, V=7.89 L,... | P ≈ 11.271 atm. | {
"id": "WUA_CHEM_25K_013835",
"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 ΔG = ΔH - TΔS. Given ΔH=-168 kJ/mol, ΔS=... | ΔG = -37.82 kJ/mol. | {
"id": "WUA_CHEM_25K_013836",
"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": "Compute molarity M = n/V. Given n=0.137 mol and ... | M = 0.056 mol/L. | {
"id": "WUA_CHEM_25K_013837",
"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 pH = -log10([H+]). Given [H+] = 1.43e-10... | pH ≈ 9.84. | {
"id": "WUA_CHEM_25K_013838",
"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."
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=99.68 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 1.7054 mol. | {
"id": "WUA_CHEM_25K_013839",
"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."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.93e-05... | pH ≈ 4.71. | {
"id": "WUA_CHEM_25K_013840",
"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=1.81 M, V1=147... | M2 = 1.593 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=1.83 mol, T=302 K, V=2.09 L,... | P ≈ 21.698 atm. | {
"id": "WUA_CHEM_25K_013842",
"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": "Reaction: A + 2B → C. mass(A)=62.79 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 1.0744 mol. | {
"id": "WUA_CHEM_25K_013843",
"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."
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"role": "user",
"content": "Use PV=nRT. Given n=2.05 mol, T=348 K, V=39.46 L... | P ≈ 1.484 atm. | {
"id": "WUA_CHEM_25K_013844",
"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": "Use PV=nRT. Given n=0.8 mol, T=286 K, V=18.99 L,... | P ≈ 0.989 atm. | {
"id": "WUA_CHEM_25K_013845",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=2.48 mol, T=284 K, V=21.19 L... | P ≈ 2.727 atm. | {
"id": "WUA_CHEM_25K_013846",
"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=2.07 M, V1=84 ... | M2 = 0.576 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)=37.16 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 0.3530 mol. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 3.16e-12... | pH ≈ 11.50. | {
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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": "Compute molarity M = n/V. Given n=1.051 mol and ... | M = 1.854 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."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.32 M, V1=230... | M2 = 0.535 M. | {
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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."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 7.46e-07... | pH ≈ 6.13. | {
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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": "Compute ΔG = ΔH - TΔS. Given ΔH=140 kJ/mol, ΔS=-... | ΔG = 162.30 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=0.24 mol, T=329 K, V=5.87 L,... | P ≈ 1.104 atm. | {
"id": "WUA_CHEM_25K_013854",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"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": "Compute pH = -log10([H+]). Given [H+] = 0.00155 ... | pH ≈ 2.81. | {
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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": "Dilution: M1*V1 = M2*V2. Given M1=2.29 M, V1=185... | M2 = 0.566 M. | {
"id": "WUA_CHEM_25K_013856",
"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."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0109 m... | pH ≈ 1.96. | {
"id": "WUA_CHEM_25K_013857",
"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 molarity M = n/V. Given n=2.368 mol and ... | M = 7.614 mol/L. | {
"id": "WUA_CHEM_25K_013858",
"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."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000301... | pH ≈ 3.52. | {
"id": "WUA_CHEM_25K_013859",
"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 ΔG = ΔH - TΔS. Given ΔH=-148 kJ/mol, ΔS=... | ΔG = -26.27 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=112 kJ/mol, ΔS=1... | ΔG = 53.44 kJ/mol. | {
"id": "WUA_CHEM_25K_013861",
"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=4.52 mol, T=333 K, V=46.88 L... | P ≈ 2.635 atm. | {
"id": "WUA_CHEM_25K_013862",
"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+] = 3.37e-13... | pH ≈ 12.47. | {
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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)=99.69 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 2.4600 mol. | {
"id": "WUA_CHEM_25K_013864",
"domain": "master_scholars_academics",
"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."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.34 M, V1=169... | M2 = 0.096 M. | {
"id": "WUA_CHEM_25K_013865",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
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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."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000342... | pH ≈ 3.47. | {
"id": "WUA_CHEM_25K_013866",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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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=1.53 mol, T=277 K, V=22.53 L... | P ≈ 1.544 atm. | {
"id": "WUA_CHEM_25K_013867",
"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."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.27 M, V1=239... | M2 = 0.161 M. | {
"id": "WUA_CHEM_25K_013868",
"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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"evidence_type": "self_contained",
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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=0.36 M, V1=216... | M2 = 0.210 M. | {
"id": "WUA_CHEM_25K_013869",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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=0.37 M, V1=141... | M2 = 0.164 M. | {
"id": "WUA_CHEM_25K_013870",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
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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=0.926 mol and ... | M = 0.804 mol/L. | {
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"content": "Use PV=nRT. Given n=1.93 mol, T=328 K, V=38.08 L... | P ≈ 1.364 atm. | {
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{
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"content": "Compute pH = -log10([H+]). Given [H+] = 6.53e-13... | pH ≈ 12.19. | {
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{
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"content": "Compute molarity M = n/V. Given n=0.72 mol and V... | M = 0.281 mol/L. | {
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.34 M, V1=5 m... | M2 = 0.008 M. | {
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"role": "user",
"content": "Use PV=nRT. Given n=2.62 mol, T=282 K, V=16.7 L,... | P ≈ 3.630 atm. | {
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"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=1.81 mol, T=278 K, V=14.66 L... | P ≈ 2.816 atm. | {
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.51 M, V1=250... | M2 = 0.288 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+] = 0.00617 ... | pH ≈ 2.21. | {
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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+] = 8.44e-05... | pH ≈ 4.07. | {
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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=3.5 mol, T=310 K, V=12.22 L,... | P ≈ 7.286 atm. | {
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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=3.62 mol, T=254 K, V=19.93 L... | P ≈ 3.786 atm. | {
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"domain": "master_scholars_academics",
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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=0.23 mol and V... | M = 0.133 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=0.79 M, V1=168... | M2 = 0.702 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=1.751 mol and ... | M = 0.814 mol/L. | {
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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)=113.58 g (M=44.01 ... | Limiting reagent: B. Moles of C formed = 0.4267 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)=20.0 g (M=44.01 g/... | Limiting reagent: A. Moles of C formed = 0.4544 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=2.52 mol, T=310 K, V=16.66 L... | P ≈ 3.848 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=2.255 mol and ... | M = 1.200 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=179 kJ/mol, ΔS=6... | ΔG = 160.57 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."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.37e-09... | pH ≈ 8.86. | {
"id": "WUA_CHEM_25K_013891",
"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": "Compute pH = -log10([H+]). Given [H+] = 8.54e-13... | pH ≈ 12.07. | {
"id": "WUA_CHEM_25K_013892",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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": "Reaction: A + 2B → C. mass(A)=20.2 g (M=32.0 g/m... | Limiting reagent: A. Moles of C formed = 0.6312 mol. | {
"id": "WUA_CHEM_25K_013893",
"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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"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=0.359 mol and ... | M = 0.165 mol/L. | {
"id": "WUA_CHEM_25K_013894",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=88.3 g (M=18.02 g/... | Limiting reagent: B. Moles of C formed = 2.1959 mol. | {
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