prompt dict | response stringlengths 10 165 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.25e-13... | pH ≈ 12.90. | {
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"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=1.196 mol and ... | M = 1.610 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
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"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=3.85 mol, T=250 K, V=46.05 L... | P ≈ 1.715 atm. | {
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"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": "Reaction: A + 2B → C. mass(A)=76.93 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.7480 mol. | {
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"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": [
{
"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=4.75 mol, T=320 K, V=29.25 L... | P ≈ 4.264 atm. | {
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"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 pH = -log10([H+]). Given [H+] = 1.05e-12... | pH ≈ 11.98. | {
"id": "WUA_CHEM_25K_010706",
"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=1.92 M, V1=93 ... | M2 = 0.199 M. | {
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"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",
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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)=82.02 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 0.4763 mol. | {
"id": "WUA_CHEM_25K_010708",
"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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{
"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=-210 kJ/mol, ΔS=... | ΔG = -12.75 kJ/mol. | {
"id": "WUA_CHEM_25K_010709",
"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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] | {
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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+] = 2.89e-11... | pH ≈ 10.54. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=3.94 mol, T=300 K, V=9.98 L,... | P ≈ 9.719 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-108 kJ/mol, ΔS=... | ΔG = -178.29 kJ/mol. | {
"id": "WUA_CHEM_25K_010712",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=55.65 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.5674 mol. | {
"id": "WUA_CHEM_25K_010713",
"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=0.65 mol, T=279 K, V=48.54 L... | P ≈ 0.307 atm. | {
"id": "WUA_CHEM_25K_010714",
"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",
"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=-64 kJ/mol, ΔS=2... | ΔG = -184.29 kJ/mol. | {
"id": "WUA_CHEM_25K_010715",
"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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"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=165 kJ/mol, ΔS=2... | ΔG = 78.06 kJ/mol. | {
"id": "WUA_CHEM_25K_010716",
"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": [
{
"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=1.11 M, V1=135... | M2 = 0.152 M. | {
"id": "WUA_CHEM_25K_010717",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.91 mol, T=335 K, V=12.81 L... | P ≈ 4.099 atm. | {
"id": "WUA_CHEM_25K_010718",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
{
"source_title": "Self-contained in prompt",
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"evidence_type": "self_contained",
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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=1.347 mol and ... | M = 1.813 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",
"tags... | [
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"evidence_type": "self_contained",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=69.11 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.5703 mol. | {
"id": "WUA_CHEM_25K_010720",
"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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"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=118 kJ/mol, ΔS=1... | ΔG = 43.88 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"evidence_type": "self_contained",
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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=2.19 M, V1=89 ... | M2 = 0.196 M. | {
"id": "WUA_CHEM_25K_010722",
"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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"evidence_type": "self_contained",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=89.5 g (M=98.08 g/... | Limiting reagent: A. Moles of C formed = 0.9125 mol. | {
"id": "WUA_CHEM_25K_010723",
"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 pH = -log10([H+]). Given [H+] = 2.75e-05... | pH ≈ 4.56. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.57 M, V1=168... | M2 = 0.302 M. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.97 M, V1=46 ... | M2 = 0.077 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-75 kJ/mol, ΔS=2... | ΔG = -233.85 kJ/mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=107 kJ/mol, ΔS=-... | ΔG = 191.38 kJ/mol. | {
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"content": "Compute molarity M = n/V. Given n=0.884 mol and ... | M = 0.309 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.16e-08... | pH ≈ 7.94. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.63 M, V1=163... | M2 = 0.327 M. | {
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"subdomain": "chemistry_math::solutions",
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"content": "Compute molarity M = n/V. Given n=0.637 mol and ... | M = 0.273 mol/L. | {
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"content": "Reaction: A + 2B → C. mass(A)=32.58 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 1.8080 mol. | {
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"content": "Use PV=nRT. Given n=2.13 mol, T=327 K, V=41.25 L... | P ≈ 1.386 atm. | {
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"content": "Reaction: A + 2B → C. mass(A)=110.82 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.8963 mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=42.64 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.7296 mol. | {
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"content": "Compute molarity M = n/V. Given n=0.639 mol and ... | M = 0.296 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.82e-06... | pH ≈ 5.55. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.1 M, V1=63 m... | M2 = 0.475 M. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.68e-12... | pH ≈ 11.33. | {
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"subdomain": "chemistry_math::acid_base",
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"content": "Compute molarity M = n/V. Given n=2.262 mol and ... | M = 4.616 mol/L. | {
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"subdomain": "chemistry_math::solutions",
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"content": "Use PV=nRT. Given n=0.79 mol, T=287 K, V=37.6 L,... | P ≈ 0.495 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.04e-13... | pH ≈ 12.98. | {
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"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-96 kJ/mol, ΔS=2... | ΔG = -182.73 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.83 M, V1=228... | M2 = 1.067 M. | {
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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=-111 kJ/mol, ΔS=... | ΔG = -133.95 kJ/mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.11e-05... | pH ≈ 4.95. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.06 M, V1=89 ... | M2 = 0.098 M. | {
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"domain": "master_scholars_academics",
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"content": "Compute pH = -log10([H+]). Given [H+] = 3.15e-06... | pH ≈ 5.50. | {
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"content": "Use PV=nRT. Given n=3.5 mol, T=255 K, V=28.67 L,... | P ≈ 2.554 atm. | {
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"content": "Compute molarity M = n/V. Given n=1.969 mol and ... | M = 6.172 mol/L. | {
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"content": "Reaction: A + 2B → C. mass(A)=28.56 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.2912 mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.74 M, V1=192... | M2 = 0.370 M. | {
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"subdomain": "chemistry_math::solutions",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=217 kJ/mol, ΔS=1... | ΔG = 99.70 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute molarity M = n/V. Given n=1.203 mol and ... | M = 1.325 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.00806 ... | pH ≈ 2.09. | {
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"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=53.74 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 1.2211 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=105 kJ/mol, ΔS=9... | ΔG = 70.06 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.94 M, V1=231... | M2 = 0.876 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=1.58 mol and V... | M = 0.808 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=-54 kJ/mol, ΔS=1... | ΔG = -111.65 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=95 kJ/mol, ΔS=19... | ΔG = -0.19 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Use PV=nRT. Given n=2.23 mol, T=345 K, V=4.83 L,... | P ≈ 13.071 atm. | {
"id": "WUA_CHEM_25K_010765",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 2.43e-10... | pH ≈ 9.61. | {
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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+] = 1.11e-11... | pH ≈ 10.95. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.73 M, V1=35 ... | M2 = 0.045 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.52 M, V1=28 ... | M2 = 0.016 M. | {
"id": "WUA_CHEM_25K_010769",
"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)=102.7 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 3.4644 mol. | {
"id": "WUA_CHEM_25K_010770",
"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=2.22 M, V1=122... | M2 = 0.659 M. | {
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"domain": "master_scholars_academics",
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"content": "Reaction: A + 2B → C. mass(A)=87.42 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 4.3275 mol. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=78.55 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.8364 mol. | {
"id": "WUA_CHEM_25K_010773",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=100 kJ/mol, ΔS=1... | ΔG = 15.33 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=0.36 mol, T=274 K, V=5.79 L,... | P ≈ 1.398 atm. | {
"id": "WUA_CHEM_25K_010775",
"domain": "master_scholars_academics",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.07e-08... | pH ≈ 7.97. | {
"id": "WUA_CHEM_25K_010776",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=44.85 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.7675 mol. | {
"id": "WUA_CHEM_25K_010777",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "core",
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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 molarity M = n/V. Given n=2.065 mol and ... | M = 0.689 mol/L. | {
"id": "WUA_CHEM_25K_010778",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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": "Use PV=nRT. Given n=0.14 mol, T=334 K, V=35.5 L,... | P ≈ 0.108 atm. | {
"id": "WUA_CHEM_25K_010779",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"license": "cc-by-4.0",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.21 mol and V... | M = 3.497 mol/L. | {
"id": "WUA_CHEM_25K_010780",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"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 molarity M = n/V. Given n=0.475 mol and ... | M = 0.228 mol/L. | {
"id": "WUA_CHEM_25K_010781",
"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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"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=3.15 mol, T=265 K, V=25.87 L... | P ≈ 2.648 atm. | {
"id": "WUA_CHEM_25K_010782",
"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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"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+] = 0.0016 m... | pH ≈ 2.80. | {
"id": "WUA_CHEM_25K_010783",
"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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"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=146 kJ/mol, ΔS=2... | ΔG = -17.25 kJ/mol. | {
"id": "WUA_CHEM_25K_010784",
"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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"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=1.891 mol and ... | M = 3.359 mol/L. | {
"id": "WUA_CHEM_25K_010785",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=20.07 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.2046 mol. | {
"id": "WUA_CHEM_25K_010786",
"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",
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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=239 kJ/mol, ΔS=2... | ΔG = 115.81 kJ/mol. | {
"id": "WUA_CHEM_25K_010787",
"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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"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=-29 kJ/mol, ΔS=2... | ΔG = -105.88 kJ/mol. | {
"id": "WUA_CHEM_25K_010788",
"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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"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+] = 5.6e-11 ... | pH ≈ 10.25. | {
"id": "WUA_CHEM_25K_010789",
"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": "Compute pH = -log10([H+]). Given [H+] = 1.06e-08... | pH ≈ 7.97. | {
"id": "WUA_CHEM_25K_010790",
"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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"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)=95.95 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.9783 mol. | {
"id": "WUA_CHEM_25K_010791",
"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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"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=2.241 mol and ... | M = 0.854 mol/L. | {
"id": "WUA_CHEM_25K_010792",
"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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"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 pH = -log10([H+]). Given [H+] = 2.62e-08... | pH ≈ 7.58. | {
"id": "WUA_CHEM_25K_010793",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"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)=43.74 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 1.3669 mol. | {
"id": "WUA_CHEM_25K_010794",
"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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"content": "Use PV=nRT. Given n=3.98 mol, T=316 K, V=47.24 L... | P ≈ 2.185 atm. | {
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"content": "Compute molarity M = n/V. Given n=1.176 mol and ... | M = 0.767 mol/L. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.23 M, V1=65 ... | M2 = 0.298 M. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.42 M, V1=104... | M2 = 0.180 M. | {
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"content": "Reaction: A + 2B → C. mass(A)=108.96 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.8645 mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.68e-08... | pH ≈ 7.57. | {
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