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": "Dilution: M1*V1 = M2*V2. Given M1=2.44 M, V1=176... | M2 = 0.616 M. | {
"id": "WUA_CHEM_25K_013101",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"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": [
{
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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=1.52 M, V1=200... | M2 = 0.472 M. | {
"id": "WUA_CHEM_25K_013102",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"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=2.93 M, V1=177... | M2 = 0.860 M. | {
"id": "WUA_CHEM_25K_013103",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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 ΔG = ΔH - TΔS. Given ΔH=-82 kJ/mol, ΔS=-... | ΔG = -38.51 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"wrapper": "minimal_chain",
"created_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=30 kJ/mol, ΔS=-2... | ΔG = 115.10 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.23 mol, T=267 K, V=47.64 L... | P ≈ 0.566 atm. | {
"id": "WUA_CHEM_25K_013106",
"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",
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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=0.231 mol and ... | M = 0.098 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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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 molarity M = n/V. Given n=2.162 mol and ... | M = 5.148 mol/L. | {
"id": "WUA_CHEM_25K_013108",
"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": "Use PV=nRT. Given n=1.25 mol, T=347 K, V=10.09 L... | P ≈ 3.527 atm. | {
"id": "WUA_CHEM_25K_013109",
"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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] | {
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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=177 kJ/mol, ΔS=-... | ΔG = 298.09 kJ/mol. | {
"id": "WUA_CHEM_25K_013110",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.94 M, V1=187... | M2 = 1.401 M. | {
"id": "WUA_CHEM_25K_013111",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=88.12 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.8985 mol. | {
"id": "WUA_CHEM_25K_013112",
"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 molarity M = n/V. Given n=2.39 mol and V... | M = 0.839 mol/L. | {
"id": "WUA_CHEM_25K_013113",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=112.92 g (M=18.02 ... | Limiting reagent: B. Moles of C formed = 1.3927 mol. | {
"id": "WUA_CHEM_25K_013114",
"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": "Use PV=nRT. Given n=0.93 mol, T=300 K, V=18.02 L... | P ≈ 1.270 atm. | {
"id": "WUA_CHEM_25K_013115",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
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"source_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=2.49 M, V1=64 ... | M2 = 0.160 M. | {
"id": "WUA_CHEM_25K_013116",
"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": "Compute molarity M = n/V. Given n=2.072 mol and ... | M = 0.912 mol/L. | {
"id": "WUA_CHEM_25K_013117",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=4.79 mol, T=284 K, V=28.33 L... | P ≈ 3.940 atm. | {
"id": "WUA_CHEM_25K_013118",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
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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=4.57 mol, T=349 K, V=7.16 L,... | P ≈ 18.279 atm. | {
"id": "WUA_CHEM_25K_013119",
"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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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.21 mol, T=326 K, V=46.1 L,... | P ≈ 0.702 atm. | {
"id": "WUA_CHEM_25K_013120",
"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",
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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)=95.4 g (M=18.02 g/... | Limiting reagent: A. Moles of C formed = 5.2941 mol. | {
"id": "WUA_CHEM_25K_013121",
"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": "Dilution: M1*V1 = M2*V2. Given M1=0.99 M, V1=223... | M2 = 0.932 M. | {
"id": "WUA_CHEM_25K_013122",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"source_url": "",
"evidence_type": "self_contained",
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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+] = 2.33e-07... | pH ≈ 6.63. | {
"id": "WUA_CHEM_25K_013123",
"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": "Reaction: A + 2B → C. mass(A)=80.23 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.8230 mol. | {
"id": "WUA_CHEM_25K_013124",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.68 M, V1=174... | M2 = 1.321 M. | {
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.17 mol and V... | M = 0.720 mol/L. | {
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.772 mol and ... | M = 1.456 mol/L. | {
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{
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"content": "Reaction: A + 2B → C. mass(A)=69.38 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.7074 mol. | {
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},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.45 M, V1=195... | M2 = 1.087 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.94 M, V1=46 ... | M2 = 1.503 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=2.301 mol and ... | M = 1.324 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-82 kJ/mol, ΔS=-... | ΔG = -50.70 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Use PV=nRT. Given n=2.38 mol, T=267 K, V=30.27 L... | P ≈ 1.723 atm. | {
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"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0895 m... | pH ≈ 1.05. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.96 mol and V... | M = 3.096 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=3.18 mol, T=258 K, V=32.31 L... | P ≈ 2.084 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."
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.26 M, V1=248... | M2 = 0.681 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=2.43 M, V1=142... | M2 = 1.568 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=1.47 M, V1=131... | M2 = 0.389 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=2.71 M, V1=31 ... | M2 = 0.094 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+] = 1.26e-10... | pH ≈ 9.90. | {
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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=0.39 mol, T=329 K, V=37.03 L... | P ≈ 0.284 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."
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=116.12 g (M=18.02 ... | Limiting reagent: B. Moles of C formed = 0.9249 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.54 M, V1=226... | M2 = 0.447 M. | {
"id": "WUA_CHEM_25K_013144",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=119.13 g (M=44.01 ... | Limiting reagent: B. Moles of C formed = 0.4217 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.64 M, V1=179... | M2 = 0.144 M. | {
"id": "WUA_CHEM_25K_013146",
"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+] = 1.11e-06... | pH ≈ 5.95. | {
"id": "WUA_CHEM_25K_013147",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
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"content": "Use PV=nRT. Given n=2.4 mol, T=348 K, V=25.74 L,... | P ≈ 2.663 atm. | {
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.401 mol and ... | M = 1.432 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.19 mol and V... | M = 0.750 mol/L. | {
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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": "Dilution: M1*V1 = M2*V2. Given M1=0.23 M, V1=97 ... | M2 = 0.178 M. | {
"id": "WUA_CHEM_25K_013151",
"domain": "master_scholars_academics",
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{
"role": "user",
"content": "Use PV=nRT. Given n=1.1 mol, T=287 K, V=37.02 L,... | P ≈ 0.700 atm. | {
"id": "WUA_CHEM_25K_013152",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.027 mol and ... | M = 2.433 mol/L. | {
"id": "WUA_CHEM_25K_013153",
"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": "Use PV=nRT. Given n=1.36 mol, T=316 K, V=45.77 L... | P ≈ 0.770 atm. | {
"id": "WUA_CHEM_25K_013154",
"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 molarity M = n/V. Given n=2.462 mol and ... | M = 3.336 mol/L. | {
"id": "WUA_CHEM_25K_013155",
"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": "Reaction: A + 2B → C. mass(A)=112.22 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.9203 mol. | {
"id": "WUA_CHEM_25K_013156",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
"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=0.771 mol and ... | M = 1.240 mol/L. | {
"id": "WUA_CHEM_25K_013157",
"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",
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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)=22.09 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.3780 mol. | {
"id": "WUA_CHEM_25K_013158",
"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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{
"messages": [
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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)=42.18 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.9584 mol. | {
"id": "WUA_CHEM_25K_013159",
"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+] = 0.0162 m... | pH ≈ 1.79. | {
"id": "WUA_CHEM_25K_013160",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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": "Reaction: A + 2B → C. mass(A)=90.83 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 5.0405 mol. | {
"id": "WUA_CHEM_25K_013161",
"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",
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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)=89.47 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 2.7959 mol. | {
"id": "WUA_CHEM_25K_013162",
"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",
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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)=105.36 g (M=58.44 ... | Limiting reagent: B. Moles of C formed = 1.4977 mol. | {
"id": "WUA_CHEM_25K_013163",
"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": "Use PV=nRT. Given n=0.34 mol, T=337 K, V=39.69 L... | P ≈ 0.237 atm. | {
"id": "WUA_CHEM_25K_013164",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=-31 kJ/mol, ΔS=3... | ΔG = -42.06 kJ/mol. | {
"id": "WUA_CHEM_25K_013165",
"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",
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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=2.96 mol, T=270 K, V=33.29 L... | P ≈ 1.970 atm. | {
"id": "WUA_CHEM_25K_013166",
"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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"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=1.31 mol and V... | M = 0.941 mol/L. | {
"id": "WUA_CHEM_25K_013167",
"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": "Dilution: M1*V1 = M2*V2. Given M1=2.56 M, V1=168... | M2 = 1.635 M. | {
"id": "WUA_CHEM_25K_013168",
"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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"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=1.34 M, V1=250... | M2 = 0.643 M. | {
"id": "WUA_CHEM_25K_013169",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
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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=105 kJ/mol, ΔS=-... | ΔG = 185.51 kJ/mol. | {
"id": "WUA_CHEM_25K_013170",
"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",
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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)=65.97 g (M=58.44 g... | Limiting reagent: B. Moles of C formed = 0.4541 mol. | {
"id": "WUA_CHEM_25K_013171",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.00759 ... | pH ≈ 2.12. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.96 M, V1=99 ... | M2 = 0.379 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=206 kJ/mol, ΔS=-... | ΔG = 307.24 kJ/mol. | {
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"content": "Use PV=nRT. Given n=1.0 mol, T=314 K, V=20.02 L,... | P ≈ 1.287 atm. | {
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.741 mol and ... | M = 1.159 mol/L. | {
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"role": "user",
"content": "Compute molarity M = n/V. Given n=2.172 mol and ... | M = 1.407 mol/L. | {
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"content": "Use PV=nRT. Given n=4.28 mol, T=340 K, V=40.64 L... | P ≈ 2.938 atm. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.000157... | pH ≈ 3.80. | {
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.6 M, V1=190 ... | M2 = 0.146 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=0.32 M, V1=215... | M2 = 0.157 M. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 6.16e-07... | pH ≈ 6.21. | {
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"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=85.43 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 0.1577 mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 9.3e-07 ... | pH ≈ 6.03. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.55e-06... | pH ≈ 5.34. | {
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"content": "Compute molarity M = n/V. Given n=0.186 mol and ... | M = 0.065 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=57.56 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 0.9457 mol. | {
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"domain": "master_scholars_academics",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.786 mol and ... | M = 0.262 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-37 kJ/mol, ΔS=-... | ΔG = -22.69 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=0.83 mol, T=291 K, V=17.31 L... | P ≈ 1.145 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=4.72 mol, T=306 K, V=28.15 L... | P ≈ 4.210 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=-171 kJ/mol, ΔS=... | ΔG = -298.68 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=0.841 mol and ... | M = 0.394 mol/L. | {
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"content": "Reaction: A + 2B → C. mass(A)=76.06 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 3.1053 mol. | {
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... | [
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-219 kJ/mol, ΔS=... | ΔG = -247.85 kJ/mol. | {
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"content": "Compute molarity M = n/V. Given n=1.705 mol and ... | M = 0.582 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.00539 ... | pH ≈ 2.27. | {
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"content": "Use PV=nRT. Given n=0.76 mol, T=292 K, V=15.65 L... | P ≈ 1.164 atm. | {
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