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)=41.09 g (M=58.44 g... | Limiting reagent: B. Moles of C formed = 0.1683 mol. | {
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"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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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 molarity M = n/V. Given n=1.528 mol and ... | M = 1.750 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": "Compute molarity M = n/V. Given n=1.491 mol and ... | M = 0.967 mol/L. | {
"id": "WUA_CHEM_25K_016703",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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"style_contract": "concise_formal"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=34.37 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 1.0741 mol. | {
"id": "WUA_CHEM_25K_016704",
"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=2.192 mol and ... | M = 1.525 mol/L. | {
"id": "WUA_CHEM_25K_016705",
"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",
"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=4.97 mol, T=340 K, V=35.48 L... | P ≈ 3.908 atm. | {
"id": "WUA_CHEM_25K_016706",
"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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"source_title": "Self-contained in prompt",
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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=1.693 mol and ... | M = 0.918 mol/L. | {
"id": "WUA_CHEM_25K_016707",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"source_title": "Self-contained in prompt",
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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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"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=0.3 M, V1=215 ... | M2 = 0.087 M. | {
"id": "WUA_CHEM_25K_016708",
"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+] = 8.82e-05... | pH ≈ 4.05. | {
"id": "WUA_CHEM_25K_016709",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
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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=2.036 mol and ... | M = 0.797 mol/L. | {
"id": "WUA_CHEM_25K_016710",
"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"
}
] | {
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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+] = 2.43e-05... | pH ≈ 4.61. | {
"id": "WUA_CHEM_25K_016711",
"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": "Compute molarity M = n/V. Given n=0.345 mol and ... | M = 0.301 mol/L. | {
"id": "WUA_CHEM_25K_016712",
"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=-223 kJ/mol, ΔS=... | ΔG = -291.93 kJ/mol. | {
"id": "WUA_CHEM_25K_016713",
"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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} |
{
"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=52 kJ/mol, ΔS=-1... | ΔG = 125.32 kJ/mol. | {
"id": "WUA_CHEM_25K_016714",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-179 kJ/mol, ΔS=... | ΔG = -68.34 kJ/mol. | {
"id": "WUA_CHEM_25K_016715",
"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": "Reaction: A + 2B → C. mass(A)=40.69 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.9246 mol. | {
"id": "WUA_CHEM_25K_016716",
"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": "Use PV=nRT. Given n=4.63 mol, T=337 K, V=10.79 L... | P ≈ 11.866 atm. | {
"id": "WUA_CHEM_25K_016717",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.866 mol and ... | M = 3.228 mol/L. | {
"id": "WUA_CHEM_25K_016718",
"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"
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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+] = 0.000315... | pH ≈ 3.50. | {
"id": "WUA_CHEM_25K_016719",
"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",
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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=1.6 M, V1=146 ... | M2 = 0.395 M. | {
"id": "WUA_CHEM_25K_016720",
"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",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.486 mol and ... | M = 10.041 mol/L. | {
"id": "WUA_CHEM_25K_016721",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
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"source_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+] = 0.0374 m... | pH ≈ 1.43. | {
"id": "WUA_CHEM_25K_016722",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
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"evidence_type": "self_contained",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.53e-08... | pH ≈ 7.82. | {
"id": "WUA_CHEM_25K_016723",
"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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{
"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=2.91 M, V1=242... | M2 = 0.792 M. | {
"id": "WUA_CHEM_25K_016724",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.97 M, V1=130... | M2 = 0.323 M. | {
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"content": "Use PV=nRT. Given n=0.54 mol, T=287 K, V=20.72 L... | P ≈ 0.614 atm. | {
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"content": "Use PV=nRT. Given n=0.63 mol, T=263 K, V=22.38 L... | P ≈ 0.608 atm. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.75 M, V1=29 ... | M2 = 0.201 M. | {
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"content": "Reaction: A + 2B → C. mass(A)=23.77 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 1.3191 mol. | {
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=73.82 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.7527 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=49 kJ/mol, ΔS=-1... | ΔG = 90.53 kJ/mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=13.43 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 0.4197 mol. | {
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=83 kJ/mol, ΔS=18... | ΔG = -39.11 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-222 kJ/mol, ΔS=... | ΔG = -203.23 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Use PV=nRT. Given n=0.65 mol, T=331 K, V=22.52 L... | P ≈ 0.784 atm. | {
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"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=2.31 mol and V... | M = 11.106 mol/L. | {
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"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.03e-06... | pH ≈ 5.99. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.00983 ... | pH ≈ 2.01. | {
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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=2.24 mol, T=315 K, V=8.78 L,... | P ≈ 6.594 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=181 kJ/mol, ΔS=-... | ΔG = 185.69 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=0.412 mol and ... | M = 0.686 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.5 M, V1=100 ... | M2 = 0.184 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": "Reaction: A + 2B → C. mass(A)=84.0 g (M=32.0 g/m... | Limiting reagent: B. Moles of C formed = 1.2937 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=26.28 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.2679 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.04e-10... | pH ≈ 9.98. | {
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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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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0259 m... | pH ≈ 1.59. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=2.48 mol, T=301 K, V=29.91 L... | P ≈ 2.048 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=1.95 M, V1=205... | M2 = 0.968 M. | {
"id": "WUA_CHEM_25K_016748",
"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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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.73 mol and V... | M = 0.730 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": "Compute pH = -log10([H+]). Given [H+] = 1.36e-06... | pH ≈ 5.87. | {
"id": "WUA_CHEM_25K_016750",
"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",
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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)=36.78 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.6087 mol. | {
"id": "WUA_CHEM_25K_016751",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"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)=20.59 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.4678 mol. | {
"id": "WUA_CHEM_25K_016752",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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... | [
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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": "Use PV=nRT. Given n=3.02 mol, T=340 K, V=20.13 L... | P ≈ 4.186 atm. | {
"id": "WUA_CHEM_25K_016753",
"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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"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=2.36 M, V1=71 ... | M2 = 0.493 M. | {
"id": "WUA_CHEM_25K_016754",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
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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=-72 kJ/mol, ΔS=-... | ΔG = -13.86 kJ/mol. | {
"id": "WUA_CHEM_25K_016755",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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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 pH = -log10([H+]). Given [H+] = 1.55e-11... | pH ≈ 10.81. | {
"id": "WUA_CHEM_25K_016756",
"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",
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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=2.89 mol, T=338 K, V=28.25 L... | P ≈ 2.837 atm. | {
"id": "WUA_CHEM_25K_016757",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
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"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": "Use PV=nRT. Given n=1.38 mol, T=323 K, V=45.02 L... | P ≈ 0.812 atm. | {
"id": "WUA_CHEM_25K_016758",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"evidence_type": "self_contained",
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"messages": [
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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+] = 0.0522 m... | pH ≈ 1.28. | {
"id": "WUA_CHEM_25K_016759",
"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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{
"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+] = 1.83e-05... | pH ≈ 4.74. | {
"id": "WUA_CHEM_25K_016760",
"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",
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"messages": [
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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 molarity M = n/V. Given n=2.318 mol and ... | M = 0.782 mol/L. | {
"id": "WUA_CHEM_25K_016761",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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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 ΔG = ΔH - TΔS. Given ΔH=-214 kJ/mol, ΔS=... | ΔG = -67.74 kJ/mol. | {
"id": "WUA_CHEM_25K_016762",
"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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"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)=71.64 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.7304 mol. | {
"id": "WUA_CHEM_25K_016763",
"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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"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+] = 3.63e-07... | pH ≈ 6.44. | {
"id": "WUA_CHEM_25K_016764",
"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",
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{
"messages": [
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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 ΔG = ΔH - TΔS. Given ΔH=78 kJ/mol, ΔS=28... | ΔG = -58.32 kJ/mol. | {
"id": "WUA_CHEM_25K_016765",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"evidence_type": "self_contained",
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"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=1.719 mol and ... | M = 2.361 mol/L. | {
"id": "WUA_CHEM_25K_016766",
"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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"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)=54.02 g (M=58.44 g... | Limiting reagent: B. Moles of C formed = 0.2307 mol. | {
"id": "WUA_CHEM_25K_016767",
"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",
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{
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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 ΔG = ΔH - TΔS. Given ΔH=-47 kJ/mol, ΔS=1... | ΔG = -117.51 kJ/mol. | {
"id": "WUA_CHEM_25K_016768",
"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",
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{
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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+] = 2.57e-10... | pH ≈ 9.59. | {
"id": "WUA_CHEM_25K_016769",
"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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"evidence_type": "self_contained",
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{
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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 ΔG = ΔH - TΔS. Given ΔH=227 kJ/mol, ΔS=1... | ΔG = 94.22 kJ/mol. | {
"id": "WUA_CHEM_25K_016770",
"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",
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{
"messages": [
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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+] = 4e-08 mo... | pH ≈ 7.40. | {
"id": "WUA_CHEM_25K_016771",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.042 mo... | pH ≈ 1.38. | {
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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.338 mol and ... | M = 0.308 mol/L. | {
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.67 M, V1=235... | M2 = 1.427 M. | {
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.098 mol and ... | M = 2.685 mol/L. | {
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.278 mol and ... | M = 0.882 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.28e-09... | pH ≈ 8.64. | {
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"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=51.3 g (M=98.08 g/... | Limiting reagent: B. Moles of C formed = 0.4944 mol. | {
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"domain": "master_scholars_academics",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-248 kJ/mol, ΔS=... | ΔG = -301.06 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=67 kJ/mol, ΔS=-1... | ΔG = 172.00 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=2.4 M, V1=147 ... | M2 = 0.447 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=0.275 mol and ... | M = 0.709 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.21e-12... | pH ≈ 11.92. | {
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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+] = 5.84e-05... | pH ≈ 4.23. | {
"id": "WUA_CHEM_25K_016784",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.56 M, V1=120... | M2 = 0.201 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)=36.31 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 2.0150 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"... | [
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-137 kJ/mol, ΔS=... | ΔG = -339.26 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 molarity M = n/V. Given n=0.175 mol and ... | M = 0.335 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.03 M, V1=205... | M2 = 0.472 M. | {
"id": "WUA_CHEM_25K_016789",
"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."
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"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=78.7 g (M=98.08 g/... | Limiting reagent: A. Moles of C formed = 0.8024 mol. | {
"id": "WUA_CHEM_25K_016790",
"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 ΔG = ΔH - TΔS. Given ΔH=169 kJ/mol, ΔS=6... | ΔG = 144.18 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"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=1.721 mol and ... | M = 1.272 mol/L. | {
"id": "WUA_CHEM_25K_016792",
"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": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.9 M, V1=201 ... | M2 = 0.560 M. | {
"id": "WUA_CHEM_25K_016793",
"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=2.32 M, V1=222... | M2 = 1.996 M. | {
"id": "WUA_CHEM_25K_016794",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.103 mol and ... | M = 1.708 mol/L. | {
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"license": "cc-by-4.0",
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.137 mol and ... | M = 0.071 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"... | [
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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)=24.0 g (M=44.01 g/... | Limiting reagent: A. Moles of C formed = 0.5453 mol. | {
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",... | [
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{
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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)=70.39 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 1.1750 mol. | {
"id": "WUA_CHEM_25K_016798",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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... | [
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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 ΔG = ΔH - TΔS. Given ΔH=75 kJ/mol, ΔS=13... | ΔG = -16.12 kJ/mol. | {
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... | [
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.244 mol and ... | M = 0.510 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"license": "cc-by-4.0",
"ta... | [
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}
] | {
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} |
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