messages list |
|---|
[
{
"role": "system",
"content": "Think in short, concrete steps. Keep reasoning factual and give a clear, natural answer."
},
{
"role": "user",
"content": "A car uses 3.6 liters of fuel per 100 kilometers. How much fuel does it use over 250 kilometers at that rate?"
},
{
"role": "assistan... |
[
{
"role": "user",
"content": "A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?\n\n[FACTS]\n- Each ... |
[
{
"role": "system",
"content": "Focus on the relevant facts and use the simplest valid calculation."
},
{
"role": "user",
"content": "What is the smaller angle between the clock hands at 3:30?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? What is the ... |
[
{
"role": "system",
"content": "Use concrete facts and show the calculation clearly."
},
{
"role": "user",
"content": "A jacket costs $80. It is discounted by 25%, then 8% sales tax is added to the discounted price. What is the final cost?"
},
{
"role": "assistant",
"content": "<thin... |
[
{
"role": "user",
"content": "All cats are mammals, and no mammals are reptiles. Can any cat be a reptile?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? All cats are mammals, and no mammals are reptiles. Can any cat be a reptile?\n\n[FACTS]\n- Every cat belongs t... |
[
{
"role": "system",
"content": "Explain cause and effect using the relevant physical facts."
},
{
"role": "user",
"content": "Why does ice float in liquid water?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? Why does ice float in liquid water?\n\n[FAC... |
[
{
"role": "system",
"content": "Keep units clear and convert only as needed."
},
{
"role": "user",
"content": "How many minutes are in 2.5 hours?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? How many minutes are in 2.5 hours?\n\n[FACTS]\n- One hour c... |
[
{
"role": "user",
"content": "Six workers finish a job in 8 days. If all workers work at the same rate, how many days would 4 workers need?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? Six workers finish a job in 8 days. If all workers work at the same rate, how... |
[
{
"role": "system",
"content": "Use the standard assumptions stated or implied by the question."
},
{
"role": "user",
"content": "One card is drawn at random from a standard 52-card deck. What is the probability it is an ace?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]... |
[
{
"role": "system",
"content": "Answer the exact comparison asked; do not assume different materials change the stated quantity."
},
{
"role": "user",
"content": "Which weighs more: 1 kilogram of feathers or 1 kilogram of steel?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTI... |
[
{
"role": "system",
"content": "Be helpful, accurate, and concise."
},
{
"role": "user",
"content": "A store has 48 apples and packs them equally into 6 bags. How many apples go in each bag?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A store has 48... |
[
{
"role": "user",
"content": "A train leaves at 2:45 p.m. and arrives at 4:10 p.m. How long is the trip?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A train leaves at 2:45 p.m. and arrives at 4:10 p.m. How long is the trip?\n\n[FACTS]\n- Departure: 2:45 p.m.\n-... |
[
{
"role": "system",
"content": "Focus on the simplest valid reasoning."
},
{
"role": "user",
"content": "A bag contains 4 red marbles and 6 blue marbles. What is the probability of drawing a red marble at random?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat questi... |
[
{
"role": "system",
"content": "Think carefully and explain clearly."
},
{
"role": "user",
"content": "If every poet is a writer and some writers are teachers, must some poets be teachers?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? If every poet is... |
[
{
"role": "user",
"content": "Why can a metal spoon feel colder than a wooden spoon in the same room?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? Why can a metal spoon feel colder than a wooden spoon in the same room?\n\n[FACTS]\n- Both spoons can be at the sam... |
[
{
"role": "system",
"content": "Be accurate with units and calculations."
},
{
"role": "user",
"content": "A tap fills a 24-liter bucket at 6 liters per minute. How long does filling take?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A tap fills a 24... |
[
{
"role": "system",
"content": "Use clear, concise reasoning."
},
{
"role": "user",
"content": "A box has 5 green balls and 5 yellow balls. You draw one ball, replace it, then draw again. What is the probability both draws are green?"
},
{
"role": "assistant",
"content": "<think>\n[Q... |
[
{
"role": "user",
"content": "A rectangular garden is 9 meters long and 4 meters wide. What is its perimeter?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A rectangular garden is 9 meters long and 4 meters wide. What is its perimeter?\n\n[FACTS]\n- Length: 9 met... |
[
{
"role": "system",
"content": "Think carefully. Give a direct answer."
},
{
"role": "user",
"content": "A sealed bag of chips looks puffed up on a mountain. Does that necessarily mean more air was added?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? ... |
[
{
"role": "system",
"content": "Keep calculations precise and concise."
},
{
"role": "user",
"content": "A shop takes 15% off a $60 lamp. What is the sale price before tax?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A shop takes 15% off a $60 lamp.... |
[
{
"role": "system",
"content": "Think clearly. Be concise."
},
{
"role": "user",
"content": "A recipe needs 3 cups of flour for 8 servings. How much flour is needed for 20 servings at the same rate?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A reci... |
[
{
"role": "user",
"content": "A shop sells a jacket for $80 after taking 20% off its original price. What was the original price?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A shop sells a jacket for $80 after taking 20% off its original price. What was the ori... |
[
{
"role": "system",
"content": "Use caveman-style reasoning: short steps, correct checks, natural final answer."
},
{
"role": "user",
"content": "A bus leaves at 8:47 a.m. and arrives at 11:22 a.m. the same day. How long is the trip?"
},
{
"role": "assistant",
"content": "<think>\n[Q... |
[
{
"role": "system",
"content": "Work through the problem carefully and respond in natural, useful language."
},
{
"role": "user",
"content": "A box contains 5 red balls and 7 blue balls. One ball is selected at random. What is the probability it is blue?"
},
{
"role": "assistant",
"c... |
[
{
"role": "user",
"content": "A rectangular garden is 9 meters long and 6 meters wide. How much fencing is needed to go all the way around it?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A rectangular garden is 9 meters long and 6 meters wide. How much fencing ... |
[
{
"role": "system",
"content": "Think clearly. Check units and assumptions."
},
{
"role": "user",
"content": "A metal spoon and a wooden spoon have been sitting in the same room. Why might the metal spoon feel colder?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat q... |
[
{
"role": "system",
"content": "Reason in short, clear steps. Give the final answer naturally."
},
{
"role": "user",
"content": "Every violin is an instrument. Some instruments are expensive. Does it follow that some violins are expensive?"
},
{
"role": "assistant",
"content": "<thin... |
[
{
"role": "system",
"content": "Be concise, but show the key calculation."
},
{
"role": "user",
"content": "A water tank contains 18 liters, which is 45% of its capacity. What is the tank's full capacity?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? ... |
[
{
"role": "user",
"content": "A fair coin is flipped twice. What is the probability of getting exactly one head?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A fair coin is flipped twice. What is the probability of getting exactly one head?\n\n[FACTS]\n- Each fl... |
[
{
"role": "system",
"content": "Use clear reasoning and give a short final answer."
},
{
"role": "user",
"content": "A phone battery drops from 80% to 56%. By how many percentage points did the charge decrease?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question... |
[
{
"role": "system",
"content": "Think carefully. Use short, direct thoughts and explain your answer clearly."
},
{
"role": "user",
"content": "A mixture uses red and blue paint in a 3:5 ratio. If there are 64 liters altogether, how many liters of each color are there?"
},
{
"role": "assi... |
[
{
"role": "user",
"content": "Two fair six-sided dice are rolled. What is the probability that their numbers add to 8?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? Two fair six-sided dice are rolled. What is the probability that their numbers add to 8?\n\n[FACTS... |
[
{
"role": "system",
"content": "Use concise caveman-style reasoning, then give a natural, direct answer."
},
{
"role": "user",
"content": "A meeting starts at 2:35 p.m. and lasts 1 hour 50 minutes. What time does it end?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWha... |
[
{
"role": "system",
"content": "Be accurate. Show short calculations and check units."
},
{
"role": "user",
"content": "A pump moves water at 750 milliliters per minute. How long will it take to pump 18 liters?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question... |
[
{
"role": "user",
"content": "A square has a perimeter of 36 centimeters. What is its area?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A square has a perimeter of 36 centimeters. What is its area?\n\n[FACTS]\n- A square has four equal sides.\n- Perimeter is 36... |
[
{
"role": "system",
"content": "Think carefully and distinguish what must be true from what might be true."
},
{
"role": "user",
"content": "All glips are round. Some round objects are blue. Must some glips be blue?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat que... |
[
{
"role": "system",
"content": "Use concrete facts and cause-and-effect reasoning."
},
{
"role": "user",
"content": "Why can spreading salt on an icy sidewalk help the ice melt?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? Why can spreading salt on a... |
[
{
"role": "user",
"content": "A meal costs $48 before a 15% tip. How much is the tip, and what is the total?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat question ask? A meal costs $48 before a 15% tip. How much is the tip, and what is the total?\n\n[FACTS]\n- Meal cost is $4... |
[
{
"role": "system",
"content": "Keep reasoning brief, with correct arithmetic and units."
},
{
"role": "user",
"content": "A car uses 7 liters of fuel for every 100 kilometers. How much fuel does it use over 250 kilometers at the same rate?"
},
{
"role": "assistant",
"content": "<thi... |
[
{
"role": "system",
"content": "Be precise about what the information does and does not prove."
},
{
"role": "user",
"content": "A wet towel is hung in a sunny, breezy spot. Why will it usually dry faster there than indoors?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\... |
[
{
"role": "user",
"content": "A tool costs $48. Its price rises 10% and then falls 10%. What is the final price?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A tool costs $48. Its price rises 10% and then falls 10%. What is the final price?\n\n[FACTS]\n- Start $48.... |
[
{
"role": "user",
"content": "A mixture uses red and blue beads in ratio 3:5. There are 32 beads total. How many blue beads?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A mixture uses red and blue beads in ratio 3:5. There are 32 beads total. How many blue beads?\... |
[
{
"role": "user",
"content": "Pump A fills a tank in 3 hours; pump B fills it in 6 hours. Working together at constant rates, how long to fill one tank?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Pump A fills a tank in 3 hours; pump B fills it in 6 hours. Working... |
[
{
"role": "user",
"content": "A bag has 4 red and 6 blue stones. Draw two without replacement. What is probability both are red?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A bag has 4 red and 6 blue stones. Draw two without replacement. What is probability both a... |
[
{
"role": "user",
"content": "A machine repeats a 5-day cycle numbered 0 to 4. Today is cycle day 1. What cycle day is it 31 days later?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A machine repeats a 5-day cycle numbered 0 to 4. Today is cycle day 1. What cycle d... |
[
{
"role": "user",
"content": "In fictional classification 1, all badgers are warm-blooded animals; no warm-blooded animals are invertebrates. Can any badgers be invertebrates?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In fictional classification 1, all badgers a... |
[
{
"role": "user",
"content": "At checkpoint 1, rule: If someone enters the lab, they must have a permit. Mina has a permit. Does that prove Mina entered the lab?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At checkpoint 1, rule: If someone enters the lab, they mus... |
[
{
"role": "user",
"content": "At inspection 1, the alarm is off and the battery is inactive. Is \"alarm on AND battery NOT active\" true?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At inspection 1, the alarm is off and the battery is inactive. Is \"alarm on AND b... |
[
{
"role": "user",
"content": "In race 1, three runners Bo, Cy, Dee finish with no ties. Bo finishes before Cy, and Cy before Dee. Who finishes second?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In race 1, three runners Bo, Cy, Dee finish with no ties. Bo finishes... |
[
{
"role": "user",
"content": "Python: x=1; then `for _ in range(4): x += 3`. What is x afterward?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python: x=1; then `for _ in range(4): x += 3`. What is x afterward?\n\n[FACTS]\n- x starts 1.\n- 4 loop iterations.\n- Eac... |
[
{
"role": "user",
"content": "Python list `a = [1, 4, 7, 10, 13, 16]`. What does `a[-2]` evaluate to?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python list `a = [1, 4, 7, 10, 13, 16]`. What does `a[-2]` evaluate to?\n\n[FACTS]\n- List length 6.\n- Negative index... |
[
{
"role": "user",
"content": "A program runs `for i in range(11):` with an inner `for j in range(3):` and increments a counter once per inner iteration. How many increments?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A program runs `for i in range(11):` with an i... |
[
{
"role": "user",
"content": "In trial 1, two equally wet wet cloths are at same temperature and humidity. One gets a fan; the other has still air. Which usually dries faster, and why?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In trial 1, two equally wet wet clo... |
[
{
"role": "user",
"content": "A solid sample has mass 130 g and volume 21 cm³. Its density is compared with water (1 g/cm³). Is it denser than water?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A solid sample has mass 130 g and volume 21 cm³. Its density is compar... |
[
{
"role": "user",
"content": "A single worker must do three sequential jobs lasting 11, 13, and 8 minutes. No overlap allowed. Can all finish within 32 minutes?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A single worker must do three sequential jobs lasting 11, 1... |
[
{
"role": "user",
"content": "A shuttle carries at most 5 people per trip. How many trips are needed to transport 23 people, assuming each trip may carry up to capacity?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A shuttle carries at most 5 people per trip. How m... |
[
{
"role": "user",
"content": "Notice 1: \"All blue folders are archived on Friday. Green folders are reviewed on Monday.\" Which folders does the notice explicitly say are archived on Friday?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Notice 1: \"All blue folders... |
[
{
"role": "user",
"content": "Log: \"Unit A processed 16 items, Unit B processed 19 items, Unit C processed 21 items.\" Which unit processed the most?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Log: \"Unit A processed 16 items, Unit B processed 19 items, Unit C p... |
[
{
"role": "user",
"content": "A box holds 51 marbles. 6 are green. Without any other information, exactly how many are blue?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A box holds 51 marbles. 6 are green. Without any other information, exactly how many are blue?\... |
[
{
"role": "user",
"content": "In Westhaven, ice cream sales and sunscreen sales both rose over 4 warm days. Does this alone prove ice cream purchases caused sunscreen purchases?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In Westhaven, ice cream sales and sunscree... |
[
{
"role": "user",
"content": "A tool costs $56. Its price rises 15% and then falls 15%. What is the final price?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A tool costs $56. Its price rises 15% and then falls 15%. What is the final price?\n\n[FACTS]\n- Start $56.... |
[
{
"role": "user",
"content": "A mixture uses red and blue beads in ratio 4:7. There are 55 beads total. How many blue beads?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A mixture uses red and blue beads in ratio 4:7. There are 55 beads total. How many blue beads?\... |
[
{
"role": "user",
"content": "Pump A fills a tank in 4 hours; pump B fills it in 9 hours. Working together at constant rates, how long to fill one tank?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Pump A fills a tank in 4 hours; pump B fills it in 9 hours. Working... |
[
{
"role": "user",
"content": "A bag has 5 red and 8 blue stones. Draw two without replacement. What is probability both are red?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A bag has 5 red and 8 blue stones. Draw two without replacement. What is probability both a... |
[
{
"role": "user",
"content": "A machine repeats a 6-day cycle numbered 0 to 5. Today is cycle day 2. What cycle day is it 32 days later?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A machine repeats a 6-day cycle numbered 0 to 5. Today is cycle day 2. What cycle d... |
[
{
"role": "user",
"content": "In fictional classification 2, all herons are vertebrates; no vertebrates are cold-blooded animals. Can any herons be cold-blooded animals?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In fictional classification 2, all herons are vert... |
[
{
"role": "user",
"content": "At checkpoint 2, rule: If someone enters the vault, they must have a ticket. Mina has a ticket. Does that prove Mina entered the vault?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At checkpoint 2, rule: If someone enters the vault, th... |
[
{
"role": "user",
"content": "At inspection 2, the fan is on and the timer is inactive. Is \"fan on AND timer NOT active\" true?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At inspection 2, the fan is on and the timer is inactive. Is \"fan on AND timer NOT active\... |
[
{
"role": "user",
"content": "In race 2, three runners Cy, Dee, Eli finish with no ties. Cy finishes before Dee, and Dee before Eli. Who finishes second?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In race 2, three runners Cy, Dee, Eli finish with no ties. Cy fini... |
[
{
"role": "user",
"content": "Python: x=2; then `for _ in range(5): x += 4`. What is x afterward?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python: x=2; then `for _ in range(5): x += 4`. What is x afterward?\n\n[FACTS]\n- x starts 2.\n- 5 loop iterations.\n- Eac... |
[
{
"role": "user",
"content": "Python list `a = [2, 5, 8, 11, 14, 17]`. What does `a[-3]` evaluate to?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python list `a = [2, 5, 8, 11, 14, 17]`. What does `a[-3]` evaluate to?\n\n[FACTS]\n- List length 6.\n- Negative index... |
[
{
"role": "user",
"content": "A program runs `for i in range(12):` with an inner `for j in range(4):` and increments a counter once per inner iteration. How many increments?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A program runs `for i in range(12):` with an i... |
[
{
"role": "user",
"content": "In trial 2, two equally wet wet sponges are at same temperature and humidity. One gets a moving air; the other has still air. Which usually dries faster, and why?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In trial 2, two equally wet... |
[
{
"role": "user",
"content": "A solid sample has mass 140 g and volume 22 cm³. Its density is compared with water (1 g/cm³). Is it denser than water?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A solid sample has mass 140 g and volume 22 cm³. Its density is compar... |
[
{
"role": "user",
"content": "A single worker must do three sequential jobs lasting 12, 14, and 9 minutes. No overlap allowed. Can all finish within 36 minutes?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A single worker must do three sequential jobs lasting 12, 1... |
[
{
"role": "user",
"content": "A shuttle carries at most 6 people per trip. How many trips are needed to transport 26 people, assuming each trip may carry up to capacity?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A shuttle carries at most 6 people per trip. How m... |
[
{
"role": "user",
"content": "Notice 2: \"All green folders are archived on Friday. Yellow folders are reviewed on Monday.\" Which folders does the notice explicitly say are archived on Friday?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Notice 2: \"All green fold... |
[
{
"role": "user",
"content": "Log: \"Unit A processed 17 items, Unit B processed 21 items, Unit C processed 24 items.\" Which unit processed the most?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Log: \"Unit A processed 17 items, Unit B processed 21 items, Unit C p... |
[
{
"role": "user",
"content": "A box holds 52 marbles. 7 are green. Without any other information, exactly how many are blue?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A box holds 52 marbles. 7 are green. Without any other information, exactly how many are blue?\... |
[
{
"role": "user",
"content": "In Lakeside, ice cream sales and sunscreen sales both rose over 5 warm days. Does this alone prove ice cream purchases caused sunscreen purchases?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In Lakeside, ice cream sales and sunscreen ... |
[
{
"role": "user",
"content": "A tool costs $64. Its price rises 20% and then falls 20%. What is the final price?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A tool costs $64. Its price rises 20% and then falls 20%. What is the final price?\n\n[FACTS]\n- Start $64.... |
[
{
"role": "user",
"content": "A mixture uses red and blue beads in ratio 5:9. There are 84 beads total. How many blue beads?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A mixture uses red and blue beads in ratio 5:9. There are 84 beads total. How many blue beads?\... |
[
{
"role": "user",
"content": "Pump A fills a tank in 5 hours; pump B fills it in 4 hours. Working together at constant rates, how long to fill one tank?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Pump A fills a tank in 5 hours; pump B fills it in 4 hours. Working... |
[
{
"role": "user",
"content": "A bag has 6 red and 10 blue stones. Draw two without replacement. What is probability both are red?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A bag has 6 red and 10 blue stones. Draw two without replacement. What is probability both... |
[
{
"role": "user",
"content": "A machine repeats a 7-day cycle numbered 0 to 6. Today is cycle day 3. What cycle day is it 33 days later?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A machine repeats a 7-day cycle numbered 0 to 6. Today is cycle day 3. What cycle d... |
[
{
"role": "user",
"content": "In fictional classification 3, all foxes are mammals; no mammals are reptiles. Can any foxes be reptiles?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In fictional classification 3, all foxes are mammals; no mammals are reptiles. Can a... |
[
{
"role": "user",
"content": "At checkpoint 3, rule: If someone enters the studio, they must have a key. Mina has a key. Does that prove Mina entered the studio?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At checkpoint 3, rule: If someone enters the studio, they ... |
[
{
"role": "user",
"content": "At inspection 3, the router is off and the switch is active. Is \"router on AND switch NOT active\" true?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? At inspection 3, the router is off and the switch is active. Is \"router on AND swit... |
[
{
"role": "user",
"content": "In race 3, three runners Dee, Eli, Ava finish with no ties. Dee finishes before Eli, and Eli before Ava. Who finishes second?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In race 3, three runners Dee, Eli, Ava finish with no ties. Dee ... |
[
{
"role": "user",
"content": "Python: x=3; then `for _ in range(6): x += 5`. What is x afterward?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python: x=3; then `for _ in range(6): x += 5`. What is x afterward?\n\n[FACTS]\n- x starts 3.\n- 6 loop iterations.\n- Eac... |
[
{
"role": "user",
"content": "Python list `a = [3, 6, 9, 12, 15, 18]`. What does `a[-4]` evaluate to?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Python list `a = [3, 6, 9, 12, 15, 18]`. What does `a[-4]` evaluate to?\n\n[FACTS]\n- List length 6.\n- Negative index... |
[
{
"role": "user",
"content": "A program runs `for i in range(13):` with an inner `for j in range(5):` and increments a counter once per inner iteration. How many increments?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A program runs `for i in range(13):` with an i... |
[
{
"role": "user",
"content": "In trial 3, two equally wet wet towels are at same temperature and humidity. One gets a steady wind; the other has still air. Which usually dries faster, and why?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In trial 3, two equally wet... |
[
{
"role": "user",
"content": "A solid sample has mass 150 g and volume 23 cm³. Its density is compared with water (1 g/cm³). Is it denser than water?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A solid sample has mass 150 g and volume 23 cm³. Its density is compar... |
[
{
"role": "user",
"content": "A single worker must do three sequential jobs lasting 13, 15, and 10 minutes. No overlap allowed. Can all finish within 37 minutes?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A single worker must do three sequential jobs lasting 13, ... |
[
{
"role": "user",
"content": "A shuttle carries at most 7 people per trip. How many trips are needed to transport 29 people, assuming each trip may carry up to capacity?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A shuttle carries at most 7 people per trip. How m... |
[
{
"role": "user",
"content": "Notice 3: \"All yellow folders are archived on Friday. Purple folders are reviewed on Monday.\" Which folders does the notice explicitly say are archived on Friday?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Notice 3: \"All yellow fo... |
[
{
"role": "user",
"content": "Log: \"Unit A processed 18 items, Unit B processed 23 items, Unit C processed 27 items.\" Which unit processed the most?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? Log: \"Unit A processed 18 items, Unit B processed 23 items, Unit C p... |
[
{
"role": "user",
"content": "A box holds 53 marbles. 8 are green. Without any other information, exactly how many are blue?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? A box holds 53 marbles. 8 are green. Without any other information, exactly how many are blue?\... |
[
{
"role": "user",
"content": "In Pineford, ice cream sales and sunscreen sales both rose over 6 warm days. Does this alone prove ice cream purchases caused sunscreen purchases?"
},
{
"role": "assistant",
"content": "<think>\n[QUESTION]\nWhat need find? In Pineford, ice cream sales and sunscreen ... |
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