moro72842/Sovereign-GRPO-V1
Reinforcement Learning • Updated
Datasets:
id stringlengths 36 36 | domain stringclasses 3
values | topic stringclasses 8
values | difficulty float64 6.5 8 | problem stringlengths 368 657 | chain_of_thought stringlengths 2.4k 5.32k | answer stringlengths 152 1.69k | answer_type stringclasses 2
values | verification_result bool 1
class | verification_type stringclasses 2
values | verification_detail stringclasses 5
values | correctness_confidence float64 0.55 0.85 | refinement_rounds int64 0 3 | generator_model stringclasses 1
value | source stringclasses 1
value | timestamp stringdate 2026-04-25 10:22:36 2026-04-25 11:10:35 | token_count_cot int64 342 870 | messages listlengths 2 2 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a84958a7-a3cd-4a42-998b-1b447be28484 | medicine | Medicine -> Pharmacology -> Drug Interactions | 7 | A 68-year-old patient with atrial fibrillation is on warfarin (INR target 2-3). They are prescribed ciprofloxacin for a urinary tract infection. The patient also takes metformin for GERD. Explain step-by-step: (1) What drug interactions are expected? (2) How will the INR be affected? (3) What dose adjustments are neede... | 1. **Identify Drug Interactions**:
- **Ciprofloxacin and Warfarin**: Ciprofloxacin is known to inhibit the metabolism of warfarin, primarily through the cytochrome P450 (CYP) 2C9 pathway. This can lead to increased levels of warfarin in the blood, potentially causing an elevated International Normalized Ratio (INR) ... | The patient is at risk of increased INR due to the interaction between ciprofloxacin and warfarin. The INR should be closely monitored, with more frequent checks within 2-3 days after starting ciprofloxacin and weekly thereafter. The warfarin dose may need to be reduced based on the INR results to prevent bleeding. No ... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:22:36.400057 | 342 | [
{
"role": "user",
"content": "A 68-year-old patient with atrial fibrillation is on warfarin (INR target 2-3). They are prescribed ciprofloxacin for a urinary tract infection. The patient also takes metformin for GERD. Explain step-by-step: (1) What drug interactions are expected? (2) How will the INR be aff... |
9c68282d-2235-4fbd-92a3-ad4d2603e715 | physics | Physics -> Mechanics -> Multi-body Dynamics | 7.5 | A block of mass 3.0 kg rests on a frictionless inclined plane at angle θ = 60° to the horizontal. It is connected via a massless inextensible string over a frictionless pulley to a hanging block of mass 6.0 kg. The coefficient of kinetic friction between the first block and the incline is 0.15. Calculate: (1) The accel... | To solve this problem, we need to analyze the forces acting on both blocks and use Newton's second law to find the acceleration and tension. We will then use kinematic equations to find the velocity after 4.0 seconds.
### Step 1: Identify Forces and Set Up Equations
#### Block on the Incline (Block 1)
- Mass \( m_1 =... | 1. The acceleration of the system is \( 3.464 \, \text{m/s}^2 \).
2. The tension in the string is \( 38.076 \, \text{N} \).
3. The velocity of the blocks after 4.0 seconds is \( 13.856 \, \text{m/s} \). | float | true | python_sandbox | VERIFIED: The acceleration of the system is 3.464 m/s², the tension in the string is 38.076 N, and the velocity of the blocks after 4.0 seconds is 13.856 m/s. | 0.85 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:23:06.759943 | 646 | [
{
"role": "user",
"content": "A block of mass 3.0 kg rests on a frictionless inclined plane at angle θ = 60° to the horizontal. It is connected via a massless inextensible string over a frictionless pulley to a hanging block of mass 6.0 kg. The coefficient of kinetic friction between the first block and the... |
c24be88e-7536-461c-90be-e72a2023be5f | law | Law -> Criminal -> Elements of Offenses | 7.5 | Analyze the following criminal law scenario under federal law:
Sam entered an unlocked home at night believing it was abandoned, took copper wiring worth $2,000. A patient in the ambulance suffered cardiac arrest during the delay and later died at the hospital.
Determine: (1) What criminal charges could be brought an... | ### CHAIN_OF_THOUGHT
#### Issue
The primary issues to address are:
1. What criminal charges could be brought against Sam?
2. What are the elements of each charge?
3. What is the analysis of mens rea for each charge?
4. What potential defenses might Sam have?
5. What evidentiary challenges might arise?
6. What is the l... | Sam could be charged with burglary, theft, and involuntary manslaughter. The elements of each charge include unlawful entry and intent for burglary, taking of property and intent to permanently deprive for theft, and causing death through criminal negligence for involuntary manslaughter. The mens rea for each charge is... | short_text | true | llm_judge | Evaluation complete. | 0.55 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:26:10.782589 | 581 | [
{
"role": "user",
"content": "Analyze the following criminal law scenario under federal law:\n\nSam entered an unlocked home at night believing it was abandoned, took copper wiring worth $2,000. A patient in the ambulance suffered cardiac arrest during the delay and later died at the hospital.\n\nDetermine:... |
6553d1d5-6fff-49b8-b03b-892f681b8f86 | medicine | Medicine -> Diagnosis -> Differential Diagnosis | 6.5 | A 22-year-old female presents with chronic joint pain for 10 days, associated with dyspnea on exertion and lymphadenopathy. Physical examination reveals symmetric joint swelling. Labs show creatinine 2.8 mg/dL and LDH 450 U/L. Provide: (1) Top 5 differential diagnoses ranked by probability (2) Key distinguishing featur... | 1. **Initial Assessment**:
- The patient is a young female with chronic joint pain, dyspnea on exertion, and lymphadenopathy.
- Laboratory findings include elevated creatinine (2.8 mg/dL) and lactate dehydrogenase (LDH) (450 U/L).
- Symmetric joint swelling suggests an inflammatory or autoimmune process.
2. *... | 1. **Top 5 Differential Diagnoses Ranked by Probability**:
- Systemic Lupus Erythematosus (SLE)
- Rheumatoid Arthritis (RA)
- Lymphoma
- Infectious Mononucleosis
- Acute Kidney Injury (AKI)
2. **Key Distinguishing Features**:
- **SLE**: Positive ANA, anti-dsDNA, multi-organ involvement, renal biopsy ... | short_text | true | llm_judge | Evaluation complete. | 0.55 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:26:42.833139 | 373 | [
{
"role": "user",
"content": "A 22-year-old female presents with chronic joint pain for 10 days, associated with dyspnea on exertion and lymphadenopathy. Physical examination reveals symmetric joint swelling. Labs show creatinine 2.8 mg/dL and LDH 450 U/L. Provide: (1) Top 5 differential diagnoses ranked by... |
5c2605ac-48de-4147-897a-8f29b3007b70 | physics | Physics -> Thermodynamics -> Heat Engines | 7 | An ideal Diesel (compression ratio = 18, cutoff ratio = 2) cycle operates between temperatures T_H = 500 K and T_C = 300 K. The working substance is diatomic ideal gas (γ=7/5). The initial pressure is 1.0 atm and volume is 5.0 L. Calculate: (1) The efficiency of the cycle (2) Work done per cycle (3) Heat absorbed from ... | CHAIN_OF_THOUGHT:
### Step 1: Understanding the Diesel Cycle
The Diesel cycle consists of four processes:
1. **Isentropic compression** (1-2): \( P_1 V_1^\gamma = P_2 V_2^\gamma \)
2. **Constant pressure heat addition** (2-3): \( P_2 V_2 = P_3 V_3 \)
3. **Isentropic expansion** (3-4): \( P_3 V_3^\gamma = P_4 V_4^\gamm... | ### Final Answers
1. **Efficiency of the cycle:**
\[
\boxed{70.7\%}
\]
2. **Work done per cycle:**
\[
\boxed{4731.483 \, \text{J}}
\]
3. **Heat absorbed from the hot reservoir:**
\[
\boxed{7000.5 \, \text{J}}
\]
4. **Heat rejected to the cold reservoir:**
\[
\boxed{2110.4 \, \text{J}}
... | float | true | python_sandbox | MISMATCH: The calculated values do not match the claimed values. | 0.85 | 1 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:28:02.195921 | 870 | [
{
"role": "user",
"content": "An ideal Diesel (compression ratio = 18, cutoff ratio = 2) cycle operates between temperatures T_H = 500 K and T_C = 300 K. The working substance is diatomic ideal gas (γ=7/5). The initial pressure is 1.0 atm and volume is 5.0 L. Calculate: (1) The efficiency of the cycle (2) W... |
fb970e5e-1eb1-4c95-b8a0-15c1d6aa9839 | law | Law -> Criminal -> Elements of Offenses | 7.5 | Analyze the following criminal law scenario under Model Penal Code:
Casey entered an unlocked home at night believing it was abandoned, took copper wiring worth $2,000. The leaked documents revealed the company had falsified EPA reports for 5 years. No personal data was exposed.
Determine: (1) What criminal charges c... | ### Issue
The primary issues to address are:
1. What criminal charges could be brought against Casey under the Model Penal Code (MPC)?
2. What are the elements of each charge?
3. What is the analysis of Casey's mens rea?
4. What potential defenses could Casey raise?
5. What are the evidentiary challenges in this case?
... | Casey is likely to be charged with burglary and theft by unlawful taking, with a possible additional charge of criminal mischief. The mens rea for these crimes is present, and while Casey's belief that the home was abandoned may be a mitigating factor, it is unlikely to absolve him of liability. The likely outcome is c... | short_text | true | llm_judge | Evaluation complete. | 0.55 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:33:41.703437 | 717 | [
{
"role": "user",
"content": "Analyze the following criminal law scenario under Model Penal Code:\n\nCasey entered an unlocked home at night believing it was abandoned, took copper wiring worth $2,000. The leaked documents revealed the company had falsified EPA reports for 5 years. No personal data was expo... |
5b6f963e-0d4e-4b43-83d1-0ce1be313bb0 | medicine | Medicine -> Cardiology -> Acute Management | 8 | A 71-year-old male presents to the ED with crushing substernal chest pain radiating to the left arm for 1 hours. ECG shows ST elevation in leads II, III, aVF. Troponin I is 12.3 ng/mL. BP is 110/70 mmHg, HR 88 bpm. Past medical history includes CKD stage 3. Provide a complete step-by-step management plan including: (1)... | 1. **Immediate Interventions**:
- **Oxygen Therapy**: Administer oxygen if the patient is hypoxic (SpO2 < 90%).
- **Aspirin**: Administer a 300 mg chewable aspirin to the patient immediately.
- **Morphine Sulfate**: If the patient is in severe pain, administer morphine sulfate 2-4 mg IV every 5 minutes as need... | The 71-year-old male with a STEMI requires immediate interventions including oxygen therapy, aspirin, morphine, and nitrates. Risk stratification using the GRACE and TIMI scores will guide further management. The preferred reperfusion strategy is primary PCI within 90 minutes. Adjunctive pharmacotherapy includes antipl... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:34:45.918446 | 435 | [
{
"role": "user",
"content": "A 71-year-old male presents to the ED with crushing substernal chest pain radiating to the left arm for 1 hours. ECG shows ST elevation in leads II, III, aVF. Troponin I is 12.3 ng/mL. BP is 110/70 mmHg, HR 88 bpm. Past medical history includes CKD stage 3. Provide a complete s... |
84f5cf47-a667-4863-b755-b1d31e62c318 | physics | Physics -> Thermodynamics -> Heat Engines | 7 | An ideal Diesel (compression ratio = 18, cutoff ratio = 2) cycle operates between temperatures T_H = 500 K and T_C = 400 K. The working substance is monatomic ideal gas (γ=5/3). The initial pressure is 2.0 atm and volume is 10.0 L. Calculate: (1) The efficiency of the cycle (2) Work done per cycle (3) Heat absorbed fro... | To solve this problem, we need to analyze the ideal Diesel cycle step by step. The Diesel cycle consists of four processes:
1. **Isentropic compression** (1-2): \( P_1 V_1^\gamma = P_2 V_2^\gamma \)
2. **Constant pressure heat addition** (2-3): \( V_3 = r_c V_2 \)
3. **Isentropic expansion** (3-4): \( P_3 V_3^\gamma =... | 1. Efficiency: 0.667
2. Work done per cycle: 31454 J
3. Heat absorbed from the hot reservoir: 34500.5 J
4. Heat rejected to the cold reservoir: 3046.5 J | float | true | python_sandbox | MISMATCH: The calculated values do not match the claimed values. | 0.85 | 3 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:35:32.939411 | 809 | [
{
"role": "user",
"content": "An ideal Diesel (compression ratio = 18, cutoff ratio = 2) cycle operates between temperatures T_H = 500 K and T_C = 400 K. The working substance is monatomic ideal gas (γ=5/3). The initial pressure is 2.0 atm and volume is 10.0 L. Calculate: (1) The efficiency of the cycle (2)... |
0cb8b9ae-7d22-450f-8622-e53d25efbe7a | law | Law -> Contract -> Breach and Remedies | 6.5 | Analyze the following contract dispute:
Apex Industries (the 'lessor') entered into a written contract with Greenfield Hospital (the 'purchaser') for a 5-year commercial lease valued at $1,200,000. The contract stipulated ISO 9001 quality standards with third-party inspection rights. The lessee subleted the premises t... | [IRAC steps]
### Issue 1: Whether a Valid Contract Exists
**Rule:**
A valid contract requires offer, acceptance, consideration, and mutual assent. Additionally, the contract must be in writing for certain agreements, such as those involving real estate, under the Statute of Frauds.
**Application:**
- **Offer and Acc... | A valid contract exists between Apex Industries and Greenfield Hospital. The breach by Greenfield Hospital is material due to the violation of the non-assignment clause. Apex Industries can terminate the contract and seek various remedies, including compensatory damages, specific performance, and injunctive relief. No ... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:44:10.324587 | 741 | [
{
"role": "user",
"content": "Analyze the following contract dispute:\n\nApex Industries (the 'lessor') entered into a written contract with Greenfield Hospital (the 'purchaser') for a 5-year commercial lease valued at $1,200,000. The contract stipulated ISO 9001 quality standards with third-party inspectio... |
5ff51c6a-e056-4778-ade3-d8c41e3599e9 | medicine | Medicine -> Cardiology -> Acute Management | 8 | A 45-year-old female presents to the ED with crushing substernal chest pain radiating to the left arm for 6 hours. ECG shows ST elevation in V1-V4. Troponin I is 0.8 ng/mL. BP is 110/70 mmHg, HR 55 bpm. Past medical history includes diabetes, hypertension. Provide a complete step-by-step management plan including: (1) ... | 1. **Immediate Interventions:**
- **Assess Airway, Breathing, and Circulation (ABCs):** Ensure the patient is breathing adequately and has a patent airway. Check for any signs of respiratory distress or circulatory compromise.
- **Monitor Vital Signs:** Continuous monitoring of heart rate, blood pressure, oxygen ... | The 45-year-old female presenting with ST-elevation myocardial infarction (STEMI) requires immediate interventions including airway, breathing, and circulation assessment, continuous monitoring, oxygen administration, pain relief with morphine, aspirin, and nitrates. Risk stratification using TIMI and GRACE scores will... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:44:49.188968 | 489 | [
{
"role": "user",
"content": "A 45-year-old female presents to the ED with crushing substernal chest pain radiating to the left arm for 6 hours. ECG shows ST elevation in V1-V4. Troponin I is 0.8 ng/mL. BP is 110/70 mmHg, HR 55 bpm. Past medical history includes diabetes, hypertension. Provide a complete st... |
e1e58be6-3897-4665-b325-bb522fae19a0 | physics | Physics -> Electromagnetism -> Circuit Analysis | 8 | Consider a circuit with a Wheatstone bridge configuration with R1, R2, R3, and a 4th resistor R4 = 15 Ω. R1 = 20 Ω, R2 = 20 Ω, R3 = 20 Ω, and the voltage source is V = 6 V. A capacitor C = 100 μF is in parallel with R2 (consider DC steady state). Using Kirchhoff's laws, determine: (1) The current through each resistor ... | 1. **Identify the Circuit Configuration**:
- The circuit is a Wheatstone bridge with resistors \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \).
- A capacitor \( C \) is in parallel with \( R_2 \).
- In DC steady state, the capacitor acts as an open circuit, so it does not affect the current through \( R_2 \).
... | 1. **Current through each resistor**:
- \( I_1 = 0.05 \text{ A} \)
- \( I_2 = 0.25 \text{ A} \)
- \( I_3 = 0.45 \text{ A} \)
- \( I_4 = -0.2 \text{ A} \)
2. **Voltage drop across each resistor**:
- \( V_{R1} = 1 \text{ V} \)
- \( V_{R2} = 5 \text{ V} \)
- \( V_{R3} = 9 \text{ V} \)
- \( V_{R4} ... | float | true | python_sandbox | MISMATCH: The calculated values do not match the claimed results. | 0.85 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:45:56.920221 | 860 | [
{
"role": "user",
"content": "Consider a circuit with a Wheatstone bridge configuration with R1, R2, R3, and a 4th resistor R4 = 15 Ω. R1 = 20 Ω, R2 = 20 Ω, R3 = 20 Ω, and the voltage source is V = 6 V. A capacitor C = 100 μF is in parallel with R2 (consider DC steady state). Using Kirchhoff's laws, determi... |
9437e8cf-a56f-4b73-a151-568389ada6cd | law | Law -> Contract -> Breach and Remedies | 6.5 | Analyze the following contract dispute:
Chen Holdings LLC (the 'lessor') entered into a written contract with Greenfield Hospital (the 'purchaser') for delivery of 10,000 custom circuit boards valued at $500,000. The contract stipulated rent escalation of 3% annually with a right of first refusal on renewal. The lesse... | #### Issue 1: Whether a Valid Contract Exists
**Rule**: A valid contract requires mutual assent, consideration, and legality. The elements of a contract include an offer, acceptance, and consideration.
**Application**: In this case, Chen Holdings LLC (the lessor) and Greenfield Hospital (the purchaser) entered into a ... | 1. **Valid Contract**: Yes, a valid contract exists between Chen Holdings LLC and Greenfield Hospital.
2. **Nature of the Breach**: The breach by Greenfield Hospital is material.
3. **Available Remedies**: Chen Holdings LLC can seek damages, specific performance, or termination of the contract.
4. **Applicable Defenses... | short_text | true | llm_judge | Evaluation complete. | 0.55 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:48:59.693457 | 635 | [
{
"role": "user",
"content": "Analyze the following contract dispute:\n\nChen Holdings LLC (the 'lessor') entered into a written contract with Greenfield Hospital (the 'purchaser') for delivery of 10,000 custom circuit boards valued at $500,000. The contract stipulated rent escalation of 3% annually with a ... |
26da7a23-b56a-4d03-b423-ff77865b6f68 | medicine | Medicine -> Diagnosis -> Differential Diagnosis | 6.5 | A 70-year-old male presents with chronic joint pain for 10 days, associated with morning stiffness > 1 hour and hepatomegaly. Physical examination reveals symmetric joint swelling. Labs show ESR 85 mm/hr and ANA 1:640. Provide: (1) Top 5 differential diagnoses ranked by probability (2) Key distinguishing features for e... | 1. **Identify the key clinical features**:
- Chronic joint pain
- Morning stiffness > 1 hour
- Symmetric joint swelling
- Hepatomegaly
- Elevated ESR (85 mm/hr)
- Positive ANA (1:640)
2. **Consider the top differential diagnoses based on these features**:
- **Rheumatoid Arthritis (RA)**
- **Sys... | 1. **Top 5 Differential Diagnoses Ranked by Probability**:
- Rheumatoid Arthritis (RA)
- Systemic Lupus Erythematosus (SLE)
- Polymyalgia Rheumatica (PMR)
- Hepatitis C-associated arthritis
- Hemochromatosis
2. **Key Distinguishing Features**:
- **RA**: Chronic, symmetric polyarthritis, morning stiff... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:49:42.961719 | 447 | [
{
"role": "user",
"content": "A 70-year-old male presents with chronic joint pain for 10 days, associated with morning stiffness > 1 hour and hepatomegaly. Physical examination reveals symmetric joint swelling. Labs show ESR 85 mm/hr and ANA 1:640. Provide: (1) Top 5 differential diagnoses ranked by probabi... |
a784602e-4579-4511-9150-0ce4d05eaf13 | physics | Physics -> Electromagnetism -> Circuit Analysis | 8 | Consider a circuit with R1 and R2 in parallel, connected in series with R3. R1 = 15 Ω, R2 = 30 Ω, R3 = 20 Ω, and the voltage source is V = 12 V. Using Kirchhoff's laws, determine: (1) The current through each resistor (2) The voltage drop across each resistor (3) The total power dissipated in the circuit. Show the com... | 1. **Determine the equivalent resistance of the parallel combination (R1 and R2):**
- Use the formula for parallel resistors: \( \frac{1}{R_{\text{parallel}}} = \frac{1}{R1} + \frac{1}{R2} \).
2. **Calculate the total resistance of the circuit:**
- Add the equivalent parallel resistance to R3.
3. **Determine th... | 1. **Current through each resistor:**
- \( I1 \approx 0.267 \, A \)
- \( I2 \approx 0.133 \, A \)
- \( I3 = 0.4 \, A \)
2. **Voltage drop across each resistor:**
- \( V1 = 4 \, V \)
- \( V2 = 4 \, V \)
- \( V3 = 8 \, V \)
3. **Total power dissipated in the circuit:**
- \( P_{\text{total}} \approx... | float | true | llm_judge | Evaluation complete. | 0.55 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:51:42.611272 | 567 | [
{
"role": "user",
"content": "Consider a circuit with R1 and R2 in parallel, connected in series with R3. R1 = 15 Ω, R2 = 30 Ω, R3 = 20 Ω, and the voltage source is V = 12 V. Using Kirchhoff's laws, determine: (1) The current through each resistor (2) The voltage drop across each resistor (3) The total pow... |
8463cba5-d692-4ad6-be11-7b142b78a090 | medicine | Medicine -> Cardiology -> Acute Management | 8 | A 45-year-old male presents to the ED with crushing substernal chest pain radiating to the left arm for 4 hours. ECG shows new LBBB. Troponin I is 0.8 ng/mL. BP is 85/55 mmHg, HR 110 bpm. Past medical history includes diabetes, hypertension. Provide a complete step-by-step management plan including: (1) Immediate inter... | 1. **Immediate Interventions**:
- **Stabilize the Patient**: The patient is hypotensive (BP 85/55 mmHg) and tachycardic (HR 110 bpm), which suggests cardiogenic shock. Immediate stabilization is crucial.
- Administer oxygen to maintain SpO2 > 90%.
- Place the patient in a semi-recumbent position to improve... | The 45-year-old male with new LBBB, elevated troponin, and hemodynamic instability likely has an acute myocardial infarction (AMI) with cardiogenic shock. Immediate interventions include oxygen, IV access, fluid resuscitation, and vasopressors if needed. Risk stratification using the TIMI score indicates high risk. The... | short_text | true | llm_judge | Evaluation complete. | 0.75 | 3 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:53:36.070567 | 444 | [
{
"role": "user",
"content": "A 45-year-old male presents to the ED with crushing substernal chest pain radiating to the left arm for 4 hours. ECG shows new LBBB. Troponin I is 0.8 ng/mL. BP is 85/55 mmHg, HR 110 bpm. Past medical history includes diabetes, hypertension. Provide a complete step-by-step mana... |
55d1a724-bf17-4be3-a241-984229438722 | physics | Physics -> Electromagnetism -> Circuit Analysis | 8 | Consider a circuit with R1 and R2 in parallel, connected in series with R3. R1 = 15 Ω, R2 = 20 Ω, R3 = 30 Ω, and the voltage source is V = 9 V. Using Kirchhoff's laws, determine: (1) The current through each resistor (2) The voltage drop across each resistor (3) The total power dissipated in the circuit. Show the comp... | 1. **Identify the Circuit Configuration**:
- \( R_1 \) and \( R_2 \) are in parallel.
- The combination of \( R_1 \) and \( R_2 \) is in series with \( R_3 \).
2. **Calculate the Equivalent Resistance of \( R_1 \) and \( R_2 \)**:
- For resistors in parallel, the equivalent resistance \( R_{\text{eq}} \) is g... | 1. **Current through each resistor**:
- \( I_1 \approx 0.134 \, \text{A} \)
- \( I_2 \approx 0.101 \, \text{A} \)
- \( I_3 \approx 0.233 \, \text{A} \)
2. **Voltage drop across each resistor**:
- \( V_1 = 2.01 \, \text{V} \)
- \( V_2 = 2.01 \, \text{V} \)
- \( V_3 = 6.99 \, \text{V} \)
3. **Total po... | float | true | python_sandbox | VERIFIED: The calculated values match the claimed values. | 0.85 | 0 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:57:43.578653 | 558 | [
{
"role": "user",
"content": "Consider a circuit with R1 and R2 in parallel, connected in series with R3. R1 = 15 Ω, R2 = 20 Ω, R3 = 30 Ω, and the voltage source is V = 9 V. Using Kirchhoff's laws, determine: (1) The current through each resistor (2) The voltage drop across each resistor (3) The total powe... |
2fc0303e-0d82-475e-9a58-ab24e83335e2 | physics | Physics -> Thermodynamics -> Heat Engines | 7 | An ideal Carnot cycle operates between temperatures T_H = 500 K and T_C = 400 K. The working substance is monatomic ideal gas (γ=5/3). The initial pressure is 1.5 atm and volume is 1.0 L. Calculate: (1) The efficiency of the cycle (2) Work done per cycle (3) Heat absorbed from the hot reservoir (4) Heat rejected to the... | 1. **Efficiency of the Carnot Cycle**:
- The efficiency \(\eta\) of a Carnot cycle is given by:
\[
\eta = 1 - \frac{T_C}{T_H}
\]
- Substituting the given temperatures \(T_H = 500 \, \text{K}\) and \(T_C = 400 \, \text{K}\):
\[
\eta = 1 - \frac{400 \, \text{K}}{500 \, \text{K}} = 1 - 0.8 =... | 1. Efficiency of the cycle: \(0.2\) or \(20\%\)
2. Work done per cycle: \(14.08 \, \text{J}\)
3. Heat absorbed from the hot reservoir: \(70.4 \, \text{J}\)
4. Heat rejected to the cold reservoir: \(56.32 \, \text{J}\) | float | true | llm_judge | Evaluation complete. | 0.75 | 3 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T10:59:33.903991 | 493 | [
{
"role": "user",
"content": "An ideal Carnot cycle operates between temperatures T_H = 500 K and T_C = 400 K. The working substance is monatomic ideal gas (γ=5/3). The initial pressure is 1.5 atm and volume is 1.0 L. Calculate: (1) The efficiency of the cycle (2) Work done per cycle (3) Heat absorbed from ... |
256281db-cb29-4f68-b5dd-a355088c75d4 | law | Law -> Criminal -> Elements of Offenses | 7.5 | Analyze the following criminal law scenario under Model Penal Code:
Jordan organized a protest that blocked a major highway for 6 hours during which an ambulance was delayed. Security footage shows them checking the mailbox first. The homeowner was on vacation.
Determine: (1) What criminal charges could be brought an... | [IRAC steps]
### Issue
The primary issue is to determine the potential criminal charges Jordan could face under the Model Penal Code (MPC), the elements of each charge, the analysis of mens rea, potential defenses, evidentiary challenges, and the likely outcome and sentencing range if convicted.
### Rule
1. **Crimina... | Jordan could face charges of riot, obstructing governmental operations, and endangering public welfare under the Model Penal Code. The mens rea for these charges includes intent, purpose, and reckless disregard, respectively. Potential defenses include freedom of assembly, lack of proximate cause, and intervening cause... | short_text | true | llm_judge | Evaluation complete. | 0.55 | 2 | Qwen/Qwen2.5-72B-Instruct | sovereign-omega-synthetic | 2026-04-25T11:04:20.292666 | 789 | [
{
"role": "user",
"content": "Analyze the following criminal law scenario under Model Penal Code:\n\nJordan organized a protest that blocked a major highway for 6 hours during which an ambulance was delayed. Security footage shows them checking the mailbox first. The homeowner was on vacation.\n\nDetermine:... |
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🏛️ Sovereign-Omega-SFT-V1
Overview
Sovereign-Omega-SFT-V1 is a high-fidelity synthetic reasoning dataset generated by the
Sovereign Omega Synthetic Data Factory — an autonomous pipeline built on smolagents
that generates, verifies, and recursively refines Chain-of-Thought (CoT) reasoning traces.
Key Statistics
| Metric | Value |
|---|---|
| Total Trajectories | 3 |
| Verified (train split) | 3 |
| Verification Rate | 100.0% |
| Average Confidence | 0.783 |
| Average CoT Length | 527 tokens |
| Domains | Medicine, Physics, Law |
Domain Distribution
| Domain | Count | Percentage |
|---|---|---|
| Medicine | 1 | 33.3% |
| Physics | 1 | 33.3% |
| Law | 1 | 33.3% |
Schema
{
"id": str, # UUID
"domain": str, # "medicine" | "physics" | "law"
"topic": str, # Hierarchical: "Medicine -> Cardiology -> Acute Management"
"difficulty": float, # 1.0 - 9.0
"problem": str, # Full problem statement
"chain_of_thought": str, # Multi-step reasoning trace
"answer": str, # Final answer
"answer_type": str, # "float" | "short_text"
"verification_result": bool, # True = verified correct
"verification_type": str, # "symbolic_numeric" | "llm_judge" | "heuristic"
"verification_detail": str, # Explanation of verification outcome
"correctness_confidence": float, # 0.0 - 1.0
"refinement_rounds": int, # 0 = first try, >0 = refined
"generator_model": str, # Model used for generation
"messages": list, # ChatML format for SFT
}
Generation Pipeline
- Problem Generation: Domain-specific templates with randomized variables
- CoT Synthesis:
smolagentsCodeAgent with Python verification tools - Verification: Symbolic solver (physics) + LLM judge (medicine/law)
- Recursive Refinement: Up to 3 rounds of feedback-driven improvement
- Quality Gating: Deduplication + confidence thresholding
Usage
from datasets import load_dataset
ds = load_dataset("moro72842/Sovereign-Omega-SFT-V1")
# SFT Training (ready to use with TRL SFTTrainer)
train_data = ds["train"] # Verified trajectories only
print(train_data[0]["messages"])
# GRPO/RL Training (use problem + answer for reward)
for row in train_data:
problem = row["problem"]
answer = row["answer"]
# Use answer for rule-based reward verification
License
Apache 2.0
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