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 ΔG = ΔH - TΔS. Given ΔH=143 kJ/mol, ΔS=-... | ΔG = 155.08 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0"... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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"style_contract": "concise_formal"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-15 kJ/mol, ΔS=-... | ΔG = 60.04 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
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"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 ΔG = ΔH - TΔS. Given ΔH=84 kJ/mol, ΔS=-2... | ΔG = 215.40 kJ/mol. | {
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"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": "Reaction: A + 2B → C. mass(A)=10.22 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.1042 mol. | {
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"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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"evidence_type": "self_contained",
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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)=63.16 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.6440 mol. | {
"id": "WUA_CHEM_25K_010205",
"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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{
"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=1.085 mol and ... | M = 4.411 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"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=1.33 M, V1=244... | M2 = 0.490 M. | {
"id": "WUA_CHEM_25K_010207",
"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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"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+] = 3.98e-13... | pH ≈ 12.40. | {
"id": "WUA_CHEM_25K_010208",
"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": "Dilution: M1*V1 = M2*V2. Given M1=1.47 M, V1=132... | M2 = 0.228 M. | {
"id": "WUA_CHEM_25K_010209",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.12e-07... | pH ≈ 6.95. | {
"id": "WUA_CHEM_25K_010210",
"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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{
"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+] = 2.41e-11... | pH ≈ 10.62. | {
"id": "WUA_CHEM_25K_010211",
"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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{
"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=2.28 mol, T=344 K, V=38.7 L,... | P ≈ 1.663 atm. | {
"id": "WUA_CHEM_25K_010212",
"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"
}
] | {
"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=3.21 mol, T=350 K, V=10.23 L... | P ≈ 9.012 atm. | {
"id": "WUA_CHEM_25K_010213",
"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": "Use PV=nRT. Given n=0.23 mol, T=316 K, V=42.36 L... | P ≈ 0.141 atm. | {
"id": "WUA_CHEM_25K_010214",
"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": "Reaction: A + 2B → C. mass(A)=31.87 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.3249 mol. | {
"id": "WUA_CHEM_25K_010215",
"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": "",
"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=3.87 mol, T=301 K, V=37.61 L... | P ≈ 2.541 atm. | {
"id": "WUA_CHEM_25K_010216",
"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": "Dilution: M1*V1 = M2*V2. Given M1=2.61 M, V1=131... | M2 = 0.578 M. | {
"id": "WUA_CHEM_25K_010217",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.44 M, V1=25 ... | M2 = 0.041 M. | {
"id": "WUA_CHEM_25K_010218",
"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": "Dilution: M1*V1 = M2*V2. Given M1=1.69 M, V1=83 ... | M2 = 0.659 M. | {
"id": "WUA_CHEM_25K_010219",
"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": "Use PV=nRT. Given n=4.1 mol, T=328 K, V=26.71 L,... | P ≈ 4.131 atm. | {
"id": "WUA_CHEM_25K_010220",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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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+] = 0.0471 m... | pH ≈ 1.33. | {
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"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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{
"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": "Reaction: A + 2B → C. mass(A)=54.57 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.9338 mol. | {
"id": "WUA_CHEM_25K_010222",
"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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"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=0.496 mol and ... | M = 0.171 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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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)=47.26 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.0738 mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=110.07 g (M=44.01 ... | Limiting reagent: A. Moles of C formed = 2.5010 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=128 kJ/mol, ΔS=-... | ΔG = 178.94 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=2.18 mol, T=255 K, V=35.28 L... | P ≈ 1.293 atm. | {
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0385 m... | pH ≈ 1.41. | {
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"domain": "master_scholars_academics",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=2.227 mol and ... | M = 1.105 mol/L. | {
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"domain": "master_scholars_academics",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=29.62 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.6730 mol. | {
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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=0.36 M, V1=50 ... | M2 = 0.062 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.56 M, V1=184... | M2 = 0.632 M. | {
"id": "WUA_CHEM_25K_010232",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=0.52 mol, T=278 K, V=1.12 L,... | P ≈ 10.591 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=0.47 M, V1=168... | M2 = 0.115 M. | {
"id": "WUA_CHEM_25K_010234",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-177 kJ/mol, ΔS=... | ΔG = -293.60 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 2.81e-08... | pH ≈ 7.55. | {
"id": "WUA_CHEM_25K_010236",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=3.55 mol, T=331 K, V=49.54 L... | P ≈ 1.946 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": "Dilution: M1*V1 = M2*V2. Given M1=2.69 M, V1=226... | M2 = 1.054 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."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 3.81e-08... | pH ≈ 7.42. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.54 M, V1=105... | M2 = 0.449 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=1.516 mol and ... | M = 7.580 mol/L. | {
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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=2.81 mol, T=305 K, V=38.88 L... | P ≈ 1.809 atm. | {
"id": "WUA_CHEM_25K_010242",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=1.8 mol, T=328 K, V=29.22 L,... | P ≈ 1.658 atm. | {
"id": "WUA_CHEM_25K_010243",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0133 m... | pH ≈ 1.88. | {
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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=3.71 mol, T=316 K, V=27.15 L... | P ≈ 3.543 atm. | {
"id": "WUA_CHEM_25K_010245",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.443 mol and ... | M = 1.818 mol/L. | {
"id": "WUA_CHEM_25K_010246",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=12 kJ/mol, ΔS=14... | ΔG = -71.50 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)=80.0 g (M=44.01 g/... | Limiting reagent: A. Moles of C formed = 1.8178 mol. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=1.98 mol, T=315 K, V=42.58 L... | P ≈ 1.202 atm. | {
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 9.11e-09... | pH ≈ 8.04. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=0.39 mol, T=281 K, V=47.31 L... | P ≈ 0.190 atm. | {
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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=1.07 M, V1=34 ... | M2 = 0.045 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+] = 0.0597 m... | pH ≈ 1.22. | {
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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+] = 7.01e-12... | pH ≈ 11.15. | {
"id": "WUA_CHEM_25K_010254",
"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 ΔG = ΔH - TΔS. Given ΔH=137 kJ/mol, ΔS=8... | ΔG = 99.33 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"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=2.23 mol, T=344 K, V=34.93 L... | P ≈ 1.802 atm. | {
"id": "WUA_CHEM_25K_010256",
"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=0.12 mol, T=288 K, V=22.0 L,... | P ≈ 0.129 atm. | {
"id": "WUA_CHEM_25K_010257",
"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=236 kJ/mol, ΔS=2... | ΔG = 75.52 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": "Compute pH = -log10([H+]). Given [H+] = 0.0765 m... | pH ≈ 1.12. | {
"id": "WUA_CHEM_25K_010259",
"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=1.14 M, V1=116... | M2 = 0.209 M. | {
"id": "WUA_CHEM_25K_010260",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=2.48 mol, T=289 K, V=28.46 L... | P ≈ 2.066 atm. | {
"id": "WUA_CHEM_25K_010261",
"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": "Reaction: A + 2B → C. mass(A)=45.66 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.3769 mol. | {
"id": "WUA_CHEM_25K_010262",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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=4.43 mol, T=300 K, V=36.83 L... | P ≈ 2.961 atm. | {
"id": "WUA_CHEM_25K_010263",
"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=2.01 M, V1=78 ... | M2 = 0.357 M. | {
"id": "WUA_CHEM_25K_010264",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Use PV=nRT. Given n=1.03 mol, T=258 K, V=29.77 L... | P ≈ 0.732 atm. | {
"id": "WUA_CHEM_25K_010265",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=18 kJ/mol, ΔS=49... | ΔG = -18.11 kJ/mol. | {
"id": "WUA_CHEM_25K_010266",
"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=2.28 mol, T=260 K, V=45.87 L... | P ≈ 1.060 atm. | {
"id": "WUA_CHEM_25K_010267",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"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": "Reaction: A + 2B → C. mass(A)=23.59 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.2405 mol. | {
"id": "WUA_CHEM_25K_010268",
"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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"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+] = 4.49e-09... | pH ≈ 8.35. | {
"id": "WUA_CHEM_25K_010269",
"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": "Compute molarity M = n/V. Given n=0.814 mol and ... | M = 0.624 mol/L. | {
"id": "WUA_CHEM_25K_010270",
"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",
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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=166 kJ/mol, ΔS=1... | ΔG = 40.58 kJ/mol. | {
"id": "WUA_CHEM_25K_010271",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.9 M, V1=15 m... | M2 = 1.243 M. | {
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"content": "Use PV=nRT. Given n=0.26 mol, T=344 K, V=36.32 L... | P ≈ 0.202 atm. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-118 kJ/mol, ΔS=... | ΔG = 61.68 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=149 kJ/mol, ΔS=2... | ΔG = 143.15 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=9 kJ/mol, ΔS=133... | ΔG = -35.29 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=77 kJ/mol, ΔS=-2... | ΔG = 196.42 kJ/mol. | {
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"content": "Use PV=nRT. Given n=0.44 mol, T=344 K, V=37.19 L... | P ≈ 0.334 atm. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=247 kJ/mol, ΔS=-... | ΔG = 340.33 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=125 kJ/mol, ΔS=1... | ΔG = 25.34 kJ/mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.0186 m... | pH ≈ 1.73. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.29 M, V1=73 ... | M2 = 0.243 M. | {
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"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=214 kJ/mol, ΔS=5... | ΔG = 198.71 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.68e-05... | pH ≈ 4.77. | {
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"content": "Compute molarity M = n/V. Given n=1.141 mol and ... | M = 0.712 mol/L. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=171 kJ/mol, ΔS=-... | ΔG = 334.91 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.89 M, V1=208... | M2 = 0.607 M. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=126 kJ/mol, ΔS=-... | ΔG = 243.10 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Use PV=nRT. Given n=4.01 mol, T=264 K, V=31.6 L,... | P ≈ 2.749 atm. | {
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"content": "Use PV=nRT. Given n=3.58 mol, T=343 K, V=16.74 L... | P ≈ 6.019 atm. | {
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