data_source large_stringclasses 1
value | prompt listlengths 1 1 | ability large_stringclasses 1
value | reward_model dict | sub_source large_stringclasses 16
values | extra_info dict |
|---|---|---|---|---|---|
webinstruct | [
{
"role": "user",
"content": "What component of a processor holds instructions waiting to be processed by the alu?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Internal memory Caches (L1, L2, and possibly L3)"
} | Computer Science | {
"id": "1678983",
"answer_type": "String",
"category": "Computer Science",
"difficulty": "University",
"split": "confidence_train",
"index": 0
} |
webinstruct | [
{
"role": "user",
"content": "How much water at 20 C would be necessary to cool a 34.0 g piece of copper (Cu, {eq}c_p=0.0924 cal/ g \\cdot K\n\n{/eq}) from 98.0 C to 25.0 C?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "45.9 g"
} | Chemistry | {
"id": "1655371",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 1
} |
webinstruct | [
{
"role": "user",
"content": "Use Taylor polynomials to estimate {eq}e^{0.6} {/eq} within 0.001.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "1.8214"
} | Mathematics | {
"id": "1564654",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 2
} |
webinstruct | [
{
"role": "user",
"content": "Use the following table of states of the economy and stock returns to calculate the percentage standard deviation of a portfolio of a portfolio of 35 percent Roten and the rest in Bradley.\n\n \n \n \n \n \n Security if State \n Returns Occurs \n \n \n \n ... | general | {
"style": "rule",
"ground_truth": "1.74%"
} | Finance | {
"id": "1092563",
"answer_type": "Percentage",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 3
} |
webinstruct | [
{
"role": "user",
"content": "Using double integrals, write the volume of the solid bounded by {eq}\\displaystyle z = x^2 + y^2 + 3,\\ z = -3,\\ y = x^2\n\n{/eq} and {eq}\\displaystyle y = 2 - x\n\n{/eq}.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "45.2571"
} | Mathematics | {
"id": "295556",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 4
} |
webinstruct | [
{
"role": "user",
"content": "Estimate the force required to bind the two protons in the He nucleus together. (Hint : Model the protons as point charges. Assume the diameter of the he nucleus to b approximately 10{eq}^{-15}\n\n{/eq}m.)\n\nPlease reason step by step, and put your final answer within \\boxed{... | general | {
"style": "rule",
"ground_truth": "230.1 N"
} | Physics | {
"id": "1839560",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 5
} |
webinstruct | [
{
"role": "user",
"content": "Is a forest a habitat or ecosystem?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "both"
} | Biology | {
"id": "1218715",
"answer_type": "Boolean",
"category": "Biology",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 6
} |
webinstruct | [
{
"role": "user",
"content": "A resistance is measured by voltmeter-ammeter method. The voltmeter is 0-250V, ± 1% accuracy and ammeter is 0-5 A, ± 1 % accuracy. The readings of voltmeter and ammeter are 100 V and 2 A respectively. The error in the measured resistance can be Options are: answer A ± 1%; answe... | general | {
"style": "rule",
"ground_truth": "C"
} | Physics | {
"id": "1071315",
"answer_type": "Multiple Choice",
"category": "Physics",
"difficulty": "University",
"split": "confidence_train",
"index": 7
} |
webinstruct | [
{
"role": "user",
"content": "A violinist places her finger so that the vibrating section of a 1.20 g/m string has a length of 40.0 cm, then she draws her bow across it. A listener nearby in a 20 degree Celsius room hears a note with a wavelength of 50.0 cm. What is the tension of the string?\n\nPlease reas... | general | {
"style": "rule",
"ground_truth": "361.41 N"
} | Physics | {
"id": "406321",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 8
} |
webinstruct | [
{
"role": "user",
"content": "How do I find the correct limits of integration for the double integral $\\iint_\\limits{D}\\sin(x)\\cos(y) dA$, where $D$ is the region bounded by $y = 1 + x, y = 1 - x, y = 0$? My current attempt, which involves splitting the region into two parts and fixing $y$ from $0$ to $... | general | {
"style": "rule",
"ground_truth": "0"
} | Mathematics | {
"id": "679733",
"answer_type": "Integer",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 9
} |
webinstruct | [
{
"role": "user",
"content": "Feelgood Pharmaceuticals has developed a new treatment for asthma. The tablets are sold individually. You study survey data and observe that if the tablet costs $5, then 100 tablets are demanded. You also observe that if the tablet costs $3, then 150 tablets are demanded. Can t... | general | {
"style": "rule",
"ground_truth": "-0.5, inelastic"
} | Economics | {
"id": "750989",
"answer_type": "Float",
"category": "Economics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 10
} |
webinstruct | [
{
"role": "user",
"content": "The southwest corner of a football field is selected as the origin of a rectangular coordinate system. A football is placed on the field at {eq}(x, y) = (37.7 m, 62.2 m)\n\n{/eq}.\n\nHow long would it take a student, walking at a speed of 1.93 m/s, directly from the corner towa... | general | {
"style": "rule",
"ground_truth": "37.7 s"
} | Physics | {
"id": "1720669",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 11
} |
webinstruct | [
{
"role": "user",
"content": "Suppose a small community of 200 people want to save a rare Toad. Each person has a willingness-to-pay function of P=2.5-2.0Q, where P is the per-Toad price that she or he is willing to pay to save Q rare Toads. To save a Toad, they must capture it and tag it. To do so, the mar... | general | {
"style": "rule",
"ground_truth": "1"
} | Economics | {
"id": "1748367",
"answer_type": "Integer",
"category": "Economics",
"difficulty": "University",
"split": "confidence_train",
"index": 12
} |
webinstruct | [
{
"role": "user",
"content": "Is it true that trade is a win-win situation, as told by many economists?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "True"
} | Economics | {
"id": "406739",
"answer_type": "Boolean",
"category": "Economics",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 13
} |
webinstruct | [
{
"role": "user",
"content": "The brain releases oxytocin in settings where there are feelings of anger or fear.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "False"
} | Biology | {
"id": "420475",
"answer_type": "Boolean",
"category": "Biology",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 14
} |
webinstruct | [
{
"role": "user",
"content": "Taylor lives in a residential neighborhood that prides itself on well-groomed lawns. Taylor's neighbors find that the collective marginal benefit of someone else's well-groomed lawn is $10. Taylor, however, dislikes yard work and receives zero net benefits from an unkempt lawn ... | general | {
"style": "rule",
"ground_truth": "d"
} | Economics | {
"id": "609540",
"answer_type": "Multiple Choice",
"category": "Economics",
"difficulty": "University",
"split": "confidence_train",
"index": 15
} |
webinstruct | [
{
"role": "user",
"content": "Based on the passage, the Haida had values that\n \n\nwere centered around their physical needs.\nencompassed physical and emotional needs.\nwere centered around caring for the ocean.\nencompassed caring for Raven and the ocean\n\nPlease reason step by step, and put your final ... | general | {
"style": "rule",
"ground_truth": "B"
} | History | {
"id": "894900",
"answer_type": "Multiple Choice",
"category": "History",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 16
} |
webinstruct | [
{
"role": "user",
"content": "Tony's Market recorded the following events involving a recent purchase of merchandise:\n\nReceived goods for $50,000, terms 2/10, n/30.\n\nReturned $1,000 of the shipment for credit.\n\nPaid $250 freight on the shipment.\n\nPaid the invoice within the discount period.\n\nAs a ... | general | {
"style": "rule",
"ground_truth": "d"
} | Business | {
"id": "1408005",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 17
} |
webinstruct | [
{
"role": "user",
"content": "Is Turkey a democratic country?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Yes"
} | Other | {
"id": "1602709",
"answer_type": "Boolean",
"category": "Other",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 18
} |
webinstruct | [
{
"role": "user",
"content": "Does a k constant have a unit?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Yes"
} | Chemistry | {
"id": "1188269",
"answer_type": "Boolean",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 19
} |
webinstruct | [
{
"role": "user",
"content": "Two loudspeakers on a concert stage are vibrating in phase. A listener is 45.3 m from the left speaker and 34.2 m from the right one. The listener can respond to all frequencies from 20 to 20,000 Hz, and the speed of sound is 343 m/s. What is the lowest frequency that can be he... | general | {
"style": "rule",
"ground_truth": "30.9 Hz"
} | Physics | {
"id": "1519324",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 20
} |
webinstruct | [
{
"role": "user",
"content": "What will be the output of the program? #include<stdio.h>\r\nint main()\r\n{\r\n float a = 0.7;\r\n if(0.7 > a)\r\n printf(\"Hi\\n\");\r\n else\r\n printf(\"Hello\\n\");\r\n return 0;\r\n} Options are: answer A Hi; answer B Hello; answer C Hi Hello; an... | general | {
"style": "rule",
"ground_truth": "B"
} | Computer Science | {
"id": "727730",
"answer_type": "Multiple Choice",
"category": "Computer Science",
"difficulty": "University",
"split": "confidence_train",
"index": 21
} |
webinstruct | [
{
"role": "user",
"content": "Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. If a boat and its riders have a mass of 900kg and the boat drifts in at 1.5 m/s how much work does Sam do to stop it?\n\nPlease reason step by step, and put your final answer within \... | general | {
"style": "rule",
"ground_truth": "-1.0kJ"
} | Physics | {
"id": "1699057",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 22
} |
webinstruct | [
{
"role": "user",
"content": "A Treasury bond with the longest maturity (30 years) has an ask price quoted at 97:30. The coupon rate is 3.50 percent, paid semiannually. What is the yield to maturity of this bond?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "3.62%"
} | Finance | {
"id": "945976",
"answer_type": "Percentage",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 23
} |
webinstruct | [
{
"role": "user",
"content": "You are considering the purchase of a share of Blue Grass, Inc. common stock. You expect to sell it at the end of one year for $87 per share. You will also receive a dividend of $5.36 per share at the end of the next year. If your required return on this stock is 7.39 percent, ... | general | {
"style": "rule",
"ground_truth": "$86.00"
} | Finance | {
"id": "1554896",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 24
} |
webinstruct | [
{
"role": "user",
"content": "In which of the following situations/circumstances is it most reasonable for a company to consider shifting away from pursuit of a strategy to strongly differentiates its multi-featured cameras from the multi-featured camera brands of rival companies and sell them at a premium ... | general | {
"style": "rule",
"ground_truth": "b"
} | Business | {
"id": "2035810",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 25
} |
webinstruct | [
{
"role": "user",
"content": "A Power Cycle receives energy by heat transfer from the combustion of fuel and develops power at a net rate of 155 kW. The thermal efficiency of the cycle is 42%.\n\nAfter 45 minutes, how much heat is transferred into the system?\n\nPlease reason step by step, and put your fina... | general | {
"style": "rule",
"ground_truth": "996300 kJ"
} | Physics | {
"id": "1435304",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 26
} |
webinstruct | [
{
"role": "user",
"content": "Kent and Barbara estimated the size of a population of small mice in a particular field by the mark-recapture method. Their estimate is 350. Later they learned from experiments on the behavior of these mice that they can locate a baited trap faster if they have already been rew... | general | {
"style": "rule",
"ground_truth": "too low"
} | Biology | {
"id": "1243339",
"answer_type": "String",
"category": "Biology",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 27
} |
webinstruct | [
{
"role": "user",
"content": "Tracy owns a non-depreciable capital asset held for investment. The asset was purchased for $250,000 six years earlier and is now subject to a $75,000 liability. During the current year, Tracy transfers the asset to Tim in exchange for $94,000 cash and a new automobile with a $... | general | {
"style": "rule",
"ground_truth": "31000"
} | Business | {
"id": "398330",
"answer_type": "Integer",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 28
} |
webinstruct | [
{
"role": "user",
"content": "Let $M$ be a matrix with $n$ rows and $n$ columns, $\\text{rank}(M) =n$. Let $B$ be a matrix generated from $M$ by deleting one row and one column of $M$. Is it true that $\\text{rank}(B) \\ge n-2$?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}... | general | {
"style": "rule",
"ground_truth": "Yes"
} | Mathematics | {
"id": "1640937",
"answer_type": "Boolean",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 29
} |
webinstruct | [
{
"role": "user",
"content": "A cylinder of compressed air had a gauge pressure of 710 kPa at the start of an operation. After the operation, the gauge pressure was 35 kPa. If the cylinder has a volume of 0.05 m{eq}^3\n\n{/eq}, what volume of air at atmospheric pressure was delivered? The operation was slow... | general | {
"style": "rule",
"ground_truth": "0.334 m^3"
} | Physics | {
"id": "1699154",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 30
} |
webinstruct | [
{
"role": "user",
"content": "Buffer capacity is a measure of a buffer solution's resistance to changes in pH as strong acid or base is added. Suppose that you have 185 mL of a buffer that is 0.240 M in both formic acid and its conjugate base. Calculate the maximum volume of 0.490 M HCl that can be added to... | general | {
"style": "rule",
"ground_truth": "74.1 mL"
} | Chemistry | {
"id": "1578247",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "University",
"split": "confidence_train",
"index": 31
} |
webinstruct | [
{
"role": "user",
"content": "Enterprise Free Cash Flows should include:\n\nI) Capital expenditures\n\nII) Financing costs\n\nIII) Taxes\n\nIV) Working capital requirements\n\na) I and IV\n\nb) I, II and IV\n\nc) I, III and IV\n\nd) I, II, III and IV\n\nPlease reason step by step, and put your final answer ... | general | {
"style": "rule",
"ground_truth": "c"
} | Business | {
"id": "1967457",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 32
} |
webinstruct | [
{
"role": "user",
"content": "Consider the titration of 40.0 mL of 0.120 M benzoic acid with 0.120 M NaOH. What is the pH after the addition of 5.0 mL of NaOH? The {eq}K_a\n\n{/eq} of benzoic acid is {eq}6.3 \\times 10^{-5}\n\n{/eq}.\n\nPlease reason step by step, and put your final answer within \\boxed{}.... | general | {
"style": "rule",
"ground_truth": "3.35"
} | Chemistry | {
"id": "876750",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "University",
"split": "confidence_train",
"index": 33
} |
webinstruct | [
{
"role": "user",
"content": "Flora Inc has the following items at year-end:\n\nCash in First Bank $15,000\n\nPostdated checks $450\n\nBank overdraft at Second Bank $600\n\nTreasury bills maturing in 2 months $2,500\n\nPetty cash on hand $600\n\nCash in Third Bank (bond sinking fund) $7,500\n\nCustomer chec... | general | {
"style": "rule",
"ground_truth": "$18,750"
} | Business | {
"id": "1823866",
"answer_type": "Integer",
"category": "Business",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 34
} |
webinstruct | [
{
"role": "user",
"content": "Do oncogenes cause mutations?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Yes"
} | Biology | {
"id": "2075517",
"answer_type": "Boolean",
"category": "Biology",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 35
} |
webinstruct | [
{
"role": "user",
"content": "In a calorimetric experiment, 6.48 g of lithium hydroxide, LiOH, was dissolved in water. The temperature of the calorimeter rose from {eq}\\rm\n\n25.00 ^\\circ C\n\n{/eq} to {eq}\\rm\n\n36.66 ^\\circ C\n\n{/eq}. What is {eq}\\rm\n\n\\Delta H\n\n{/eq} for the solution process?\n... | general | {
"style": "rule",
"ground_truth": "30.7 kJ"
} | Chemistry | {
"id": "187980",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 36
} |
webinstruct | [
{
"role": "user",
"content": "How much 25 wt% salt water needs to be mixed with pure water to produce 1 kg of 8 wt% salt water solution?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "0.3 kg"
} | Chemistry | {
"id": "1717089",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 37
} |
webinstruct | [
{
"role": "user",
"content": "How many economic amendments have been ratified?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "3"
} | History | {
"id": "1266632",
"answer_type": "Integer",
"category": "History",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 38
} |
webinstruct | [
{
"role": "user",
"content": "Dog Up! Franks is looking at a new sausage system with an installed cost of $460,000. This cost will be depreciated straight-line to zero over the project's five-year life, at the end of which the sausage system can be scrapped for $66,000. The sausage system will save the firm... | general | {
"style": "rule",
"ground_truth": "$312,943.60"
} | Finance | {
"id": "1451181",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 39
} |
webinstruct | [
{
"role": "user",
"content": "Prob= ($\\sum$[4 * $13\\choose x$* $52-x\\choose13-x$]/$52\\choose13$. The $\\sum$ goes from x=6 to 13. What is the problem this formula is trying to solve?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "0.205798"
} | Mathematics | {
"id": "917331",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 40
} |
webinstruct | [
{
"role": "user",
"content": "A hawk accelerates as it glides in the air. Does the force causing the acceleration come from the hawk itself? Explain.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "No"
} | Physics | {
"id": "1868891",
"answer_type": "Boolean",
"category": "Physics",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 41
} |
webinstruct | [
{
"role": "user",
"content": "Write the formula of a cation indicating the mass and atomic numbers.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "{}_{11}^{23}{{\\text{Na}}^{\\text{+}}}"
} | Chemistry | {
"id": "1699303",
"answer_type": "String",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 42
} |
webinstruct | [
{
"role": "user",
"content": "A balloon inflated in a room at 25.0 degrees Celsius has a volume of 3.50 L. The balloon is then heated to a temperature of 65.0 degrees Celsius. What is the new volume if the pressure remains constant?\n\nPlease reason step by step, and put your final answer within \\boxed{}."... | general | {
"style": "rule",
"ground_truth": "3.97 L"
} | Physics | {
"id": "1400102",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 43
} |
webinstruct | [
{
"role": "user",
"content": "The body of a 1285 kg car is supported on a frame by four springs. The spring constant of a single spring is 2.80*10{eq}^4\n\n{/eq} N/m. Four people riding in the car have a combined mass of 275 kg. When driven over a pothole in the road, the frame vibrates and for the first fe... | general | {
"style": "rule",
"ground_truth": "0.12 s"
} | Physics | {
"id": "1224966",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 44
} |
webinstruct | [
{
"role": "user",
"content": "When the Sun dies in The Third Bank of the river he wants to be\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "put in a little boat"
} | Other | {
"id": "364460",
"answer_type": "String",
"category": "Other",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 45
} |
webinstruct | [
{
"role": "user",
"content": "Which excerpt best displays the function of dramatic structure in Monster?\n \n\n1. The jury might think they're doing you a big favor by giving you life in prison.\n2. He looks over at STEVE with a hard look and we see STEVE look away.\n3. A Black female STENOGRAPHER pours cof... | general | {
"style": "rule",
"ground_truth": "B"
} | Other | {
"id": "1705517",
"answer_type": "Multiple Choice",
"category": "Other",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 46
} |
webinstruct | [
{
"role": "user",
"content": "What is {eq}\\gamma\n\n{/eq} for a proton having a mass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt) at Fermilab outside Chicago?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "1066.8"
} | Physics | {
"id": "1878567",
"answer_type": "Float",
"category": "Physics",
"difficulty": "University",
"split": "confidence_train",
"index": 47
} |
webinstruct | [
{
"role": "user",
"content": "A firm with $780,000 fixed costs and $380,000 depreciation is expected to produce $405,000 in profits. What is its DOL?\n\na. 3.86\n\nb. 2.93\n\nc. 3.93\n\nd. 2.86\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "b"
} | Economics | {
"id": "1338587",
"answer_type": "Multiple Choice",
"category": "Economics",
"difficulty": "University",
"split": "confidence_train",
"index": 48
} |
webinstruct | [
{
"role": "user",
"content": "In a mass spectrograph, the masses of the ions are determined from their deflections in a magnetic field. Suppose that singly charged ions of chlorine are shot perpendicularly into a magnetic field B=0.15 T with a speed of {eq}5.0 \\times 10^4\n\n{/eq} m/s. Chlorine has two iso... | general | {
"style": "rule",
"ground_truth": "0.007m"
} | Physics | {
"id": "1292103",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 49
} |
webinstruct | [
{
"role": "user",
"content": "Use Newton's method to find the roots of the equation: \\(\\displaystyle\\frac{1}{x} = 1 + x^{3}\\)\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "0.7312"
} | Mathematics | {
"id": "1866565",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 50
} |
webinstruct | [
{
"role": "user",
"content": "Wenen an astronaut travels to different planets, which of the following planets will the astronaut's weight stay constant to\n \n\nwhat is measured at on Earth?\nJupiter\nSaturn\nMars\nnone\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "D"
} | Physics | {
"id": "524555",
"answer_type": "Multiple Choice",
"category": "Physics",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 51
} |
webinstruct | [
{
"role": "user",
"content": "4 vectors that connectod end to end. what is the sum of all vectors ?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "0"
} | Physics | {
"id": "533913",
"answer_type": "Integer",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 52
} |
webinstruct | [
{
"role": "user",
"content": "Approximate the value of the integral {eq}\\int^8_0 \\sqrt{64 - x^2}dx{/eq} by use of the trapezoid rule, using n = 8.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "49.42"
} | Mathematics | {
"id": "835296",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 53
} |
webinstruct | [
{
"role": "user",
"content": "Which of the following is a redox reaction?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "C"
} | Chemistry | {
"id": "1927645",
"answer_type": "Multiple Choice",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 54
} |
webinstruct | [
{
"role": "user",
"content": "The following comparative income statement (in thousands of dollars) for the two recent fiscal years was adapted from the annual report of Speedway Motorsports, Inc., owner and operator of several major motor speedways, such as the Atlanta, Texas, and Las Vegas Motor Speedways.... | general | {
"style": "rule",
"ground_truth": "Current Year\nRevenues:\nAdmissions: 22%\nEvent-related revenue: 30.3%\nNASCAR broadcasting revenue: 36%\nOther operating revenue: 11.7%\nTotal revenue: 100%\nExpenses and other:\nDirect expense of events: 19%\nNASCAR purse and sanction fees: 24.3%\nOther direct expenses: 4.6%\nG... | Finance | {
"id": "706530",
"answer_type": "Percentage",
"category": "Finance",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 55
} |
webinstruct | [
{
"role": "user",
"content": "Find the electric field due to the square made of {eq}\\rm\n\n4\n\n{/eq} rods of length {eq}\\rm\n\nL = 5\\ cm\n\n{/eq} and charge of {eq}\\rm\n\nQ = 4\\ nC\n\n{/eq} each, point {eq}\\rm\n\nP\n\n{/eq} at distance {eq}\\rm\n\nD = 7\\ cm\n\n{/eq} above the center of the square.\n... | general | {
"style": "rule",
"ground_truth": "2.34e+04 N/C"
} | Physics | {
"id": "952344",
"answer_type": "Float",
"category": "Physics",
"difficulty": "University",
"split": "confidence_train",
"index": 56
} |
webinstruct | [
{
"role": "user",
"content": "If you have a total of {eq}5.2\n\n{/eq} grams of a mixture and {eq}2.1\n\n{/eq} grams of that mixture is determined to be sodium chloride, what percentage of the mixture is sodium chloride?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "40%"
} | Chemistry | {
"id": "1252206",
"answer_type": "Percentage",
"category": "Chemistry",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 57
} |
webinstruct | [
{
"role": "user",
"content": "Find the electric field, {eq}E\n\n{/eq}, at a point located in the middle point between two point charges {eq}\\displaystyle Q_1 = 7.0 \\times 10^{-6}\\ C\n\n{/eq} and {eq}\\displaystyle Q_2 = -5.0 \\times 10^{-5} \\ C\n\n{/eq} when the charges are separated by a distance of {e... | general | {
"style": "rule",
"ground_truth": "2.28e11 N/C"
} | Physics | {
"id": "1244674",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 58
} |
webinstruct | [
{
"role": "user",
"content": "A satellite moves in a circular orbit around the Earth at a speed of 5.4 km/s. Determine the satellite's altitude above the surface of the Earth. Assume the Earth is a homogeneous sphere of radius 6370 km and mass {eq}\\rm 5.98 \\times 10^{24} \\ kg\n\n{/eq}. The value of the u... | general | {
"style": "rule",
"ground_truth": "7313.8 km"
} | Physics | {
"id": "269332",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 59
} |
webinstruct | [
{
"role": "user",
"content": "When sulfer and nitrogen oxides mix with water in the air, do they form smog?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Yes"
} | Chemistry | {
"id": "764598",
"answer_type": "Boolean",
"category": "Chemistry",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 60
} |
webinstruct | [
{
"role": "user",
"content": "A 1380 kg block of granite is dragged up an incline at a constant speed of 1.34 m/s by a winch. The coefficient of kinetic friction between the block and the incline is 0.41. How much power must be supplied by the winch? The incline is 28.2 meters high and 39.4 m long.\n\nPleas... | general | {
"style": "rule",
"ground_truth": "1.81e4 W"
} | Physics | {
"id": "258828",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 61
} |
webinstruct | [
{
"role": "user",
"content": "Io is a satellite in Jupiter. The radius of its orbit is 422,000 km. Its period is 1.77 days. Calculate the mass of Jupiter.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "1.9e+27 kg"
} | Physics | {
"id": "1114767",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 62
} |
webinstruct | [
{
"role": "user",
"content": "Bella Construction Co. uses the percentage-of-completion method. In 20x1, Bella began work on a contract for $2,477,005; it was completed in 20x2. The following cost data pertain to this contract:\n\n\n Year ended December 31, 20x1Year ended December 31, 20x2\nCosts incurred d... | general | {
"style": "rule",
"ground_truth": "b"
} | Business | {
"id": "602047",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 63
} |
webinstruct | [
{
"role": "user",
"content": "With celebrity bonds, celebrities raise money by issuing bonds to investors. The royalties from sales of the music are used to pay interest and principal on the bonds. In April of 2009, EMI announced that it intended to securitize its back catalogue with the help of the bank of... | general | {
"style": "rule",
"ground_truth": "1038.43"
} | Finance | {
"id": "1766478",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 64
} |
webinstruct | [
{
"role": "user",
"content": "To what value would you have to raise the temperature of a copper wire (originally at 20{eq}^{\\circ}\n\n{/eq} C) to increase its resistance by 19 %.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "69 degrees Celsius"
} | Physics | {
"id": "1767199",
"answer_type": "Integer",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 65
} |
webinstruct | [
{
"role": "user",
"content": "If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat removed from the food inside of the refrigerator if it released 366 J energy in the room? How to calculate?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
... | general | {
"style": "rule",
"ground_truth": "366 J"
} | Physics | {
"id": "802395",
"answer_type": "Integer",
"category": "Physics",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 66
} |
webinstruct | [
{
"role": "user",
"content": "Find the area between the curves x = -3, x = 3, y = 3e^(3x), y = 2e^(3x) + 1.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "2700.36"
} | Mathematics | {
"id": "1454389",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 67
} |
webinstruct | [
{
"role": "user",
"content": "Suppose that 0.524 g of {eq}Mg\n\n{/eq} is reacted with 60.0 mL of 1.0 M {eq}H^+\n\n{/eq}. Assume that the density of the {eq}H^+\n\n{/eq} solution is 1.00 g/ml and that its specific heat capacity equals that of water. The initial and final temperatures are 22.0 {eq}^{\\circ}\... | general | {
"style": "rule",
"ground_truth": "-5.1445e+05 J/mol"
} | Chemistry | {
"id": "286150",
"answer_type": "Float",
"category": "Chemistry",
"difficulty": "University",
"split": "confidence_train",
"index": 68
} |
webinstruct | [
{
"role": "user",
"content": "A {eq}\\text {67.0 g}\n\n{/eq} piece of metal with specific heat {eq}0.622 \\dfrac {J}{g ^{\\circ} \\text C}\n\n{/eq} and at {eq}107 ^{\\circ} \\text C\n\n{/eq} is placed in {eq}\\text {300.0 g}\n\n{/eq} of water at {eq}27.0^{\\circ} \\text C\n\n{/eq}. What will be the final te... | general | {
"style": "rule",
"ground_truth": "d"
} | Physics | {
"id": "2104421",
"answer_type": "Multiple Choice",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 69
} |
webinstruct | [
{
"role": "user",
"content": "The significant difference between oligopoly markets and monopolistic competition is the degree of {eq}\\_\\_\\_\\_\\_\\_\\_\\_\\_\n\n{/eq} by the four largest firms.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "concentration"
} | Economics | {
"id": "1612790",
"answer_type": "String",
"category": "Economics",
"difficulty": "University",
"split": "confidence_train",
"index": 70
} |
webinstruct | [
{
"role": "user",
"content": "If two firms dominate an industry the market is known as:\n\na. Monopolistic competition.\n\nb. Competitively monopolistic.\n\nc. Duopoly.\n\nd. Oligopoly.\n\ne. Monopoly.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "c"
} | Economics | {
"id": "136951",
"answer_type": "Multiple Choice",
"category": "Economics",
"difficulty": "University",
"split": "confidence_train",
"index": 71
} |
webinstruct | [
{
"role": "user",
"content": "Evaluate the integral.\n\n{eq}\\int_{0}^{\\sqrt{ln\\pi}} 2xe^{x^2} sin(e^{x^2})\n\n{/eq} dx\n\nA. 1\n\nB. 1 + cos 1\n\nC. 1 - cos 1\n\nD. -1\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "B"
} | Mathematics | {
"id": "580434",
"answer_type": "Multiple Choice",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 72
} |
webinstruct | [
{
"role": "user",
"content": "Given a matrix $A \\in [0;1]^{n \\times m}$ which is broad ($n < m$), full-rank, and row-stochastic (i.e., $A \\mathbf{1}_m = \\mathbf{1}_n$), can we ensure, by an appropriate choice of a square full-rank matrix $B$, that the right-inverse $A^+=BA^\\mathsf{T}\\bigl(ABA^\\mathsf... | general | {
"style": "rule",
"ground_truth": "Yes"
} | Mathematics | {
"id": "1370227",
"answer_type": "Boolean",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 73
} |
webinstruct | [
{
"role": "user",
"content": "True or False:\n\nA broke, homeless drifter gets hit one night by a train when he is sleep-walking. The amount of hospital charges not covered by Medicaid should be charged to Bad Debt Expense.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "False"
} | Business | {
"id": "691363",
"answer_type": "Boolean",
"category": "Business",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 74
} |
webinstruct | [
{
"role": "user",
"content": "The hybridization for the B in Bcl3 is ?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "sp²"
} | Chemistry | {
"id": "1207407",
"answer_type": "String",
"category": "Chemistry",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 75
} |
webinstruct | [
{
"role": "user",
"content": "Cushing Corporation is considering the purchase of a new grading machine to replace the existing one. The existing machine was purchased 3 years ago at an installed cost of $19,900. it was being depreciated under MACRS using a 5-year recovery period. (see table for the applicab... | general | {
"style": "rule",
"ground_truth": "21427.52"
} | Finance | {
"id": "1587278",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 76
} |
webinstruct | [
{
"role": "user",
"content": "A company currently pays a dividend of $2.75 per share (D0 = $2.75). It is estimated that the company's dividend will grow at a rate of 24% per year for the next 2 years, and then at a constant rate of 8% thereafter. The company's stock has a beta of 1.25, the risk-free rate is... | general | {
"style": "rule",
"ground_truth": "$67.65"
} | Finance | {
"id": "419544",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 77
} |
webinstruct | [
{
"role": "user",
"content": "Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.\n\n{eq}\\int_0^8 \\int_0^y xdxdy\n\n{/eq}\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "256/3"
} | Mathematics | {
"id": "995047",
"answer_type": "Fraction",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 78
} |
webinstruct | [
{
"role": "user",
"content": "A motorist is moving mid-way on a road that runs between two parallel hills with a velocity of 10 m/s. He hears the echo of the horn after one second of sounding it. Calculate the distance between the hills if the velocity of sound is 320 m/s.\n\nPlease reason step by step, and... | general | {
"style": "rule",
"ground_truth": "319.8 m"
} | Physics | {
"id": "1538264",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 79
} |
webinstruct | [
{
"role": "user",
"content": "An archer pulls her bowstring back 0.450 m by exerting a force that increases uniformly from zero to 247 N.\n\nWhat is the equivalent spring constant of the bow?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "549 N/m"
} | Physics | {
"id": "1802928",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 80
} |
webinstruct | [
{
"role": "user",
"content": "Is there an easier way to go about trying to find the roots of a degree-3 polynomial like $(x^3 + 2x + 1)$ in $\\mathbb{Z}_{3}[x]$ to determine if it is irreducible?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Yes"
} | Mathematics | {
"id": "1923374",
"answer_type": "Boolean",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 81
} |
webinstruct | [
{
"role": "user",
"content": "You are considering a 30-year, $1,000 par value bond. Its coupon rate is 8%, and interest is paid semiannually. If you require an \"effective\" annual interest rate (not a nominal rate) of 9.73%, how much should you be willing to pay for the bond? Do not round intermediate step... | general | {
"style": "rule",
"ground_truth": "851.86"
} | Finance | {
"id": "1830836",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 82
} |
webinstruct | [
{
"role": "user",
"content": "Which would not require an end of the year adjusting entry?\n\na. Purchasing supplies for cash\n\nb. Providing services on account\n\nc. Purchasing a 12-month insurance policy\n\nd. All of the above\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}... | general | {
"style": "rule",
"ground_truth": "b"
} | Business | {
"id": "176633",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 83
} |
webinstruct | [
{
"role": "user",
"content": "Suppose the U.S. interest rate for the next six months is 1.5 percent (annual compounding). The foreign interest rate is 2 percent (annual compounding). The spot price of the foreign currency in dollars is $1.665. The forward price is $1.664.\n\nDetermine the correct forward pr... | general | {
"style": "rule",
"ground_truth": "1.6609"
} | Finance | {
"id": "2065219",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 84
} |
webinstruct | [
{
"role": "user",
"content": "What is the process component of the theory of evolution?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "Natural selection"
} | Biology | {
"id": "711907",
"answer_type": "String",
"category": "Biology",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 85
} |
webinstruct | [
{
"role": "user",
"content": "An insurance policy will pay you or your heirs $5,000 a year for 40 years.\n\nIf the first payment is received 15 years from today and the discount rate is 5%, what is the total value of the policy today?\n\nA. $41,269\n\nB. $42,189\n\nC. $43,333\n\nD. $43,546\n\nE. $43,836\n\n... | general | {
"style": "rule",
"ground_truth": "C"
} | Business | {
"id": "1439672",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 86
} |
webinstruct | [
{
"role": "user",
"content": "You deposit $100,000 cash in a brokerage account and short sell $200,000 of stocks on margin. Later, the value of the stocks held short rises to $225,000. What is your account margin in dollars?\n\na. $50,000\n\nb. $75,000\n\nc. $100,000\n\nd. $150,000\n\nPlease reason step by ... | general | {
"style": "rule",
"ground_truth": "b"
} | Business | {
"id": "683939",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 87
} |
webinstruct | [
{
"role": "user",
"content": "Children see that on Saturdays their mom spends the day inside cleaning and doing the laundry while their dad does outside work such as mowing the yard and changing the oil. What theory suggests that children learn gender roles through this type of modeling?\n\nPlease reason st... | general | {
"style": "rule",
"ground_truth": "Social Theory"
} | Other | {
"id": "939880",
"answer_type": "String",
"category": "Other",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 88
} |
webinstruct | [
{
"role": "user",
"content": "Rolston Music Company is considering the sale of a new soundboard used in recording studios. The new board would sell for $26,200, and the company expects to sell 1,470 per year. The company currently sells 1,970 units of its existing model per year. If the new model is introdu... | general | {
"style": "rule",
"ground_truth": "$9,291,812"
} | Finance | {
"id": "1927969",
"answer_type": "Float",
"category": "Finance",
"difficulty": "University",
"split": "confidence_train",
"index": 89
} |
webinstruct | [
{
"role": "user",
"content": "Sheridan Bookstore had 510 units on hand at January 1, costing $9 each. Purchases and sales during the month of January were as follows:\n\n\nDate PurchasesSales\nJan. 14 445 @ $13\n17 250 @ $8 \n25 250 @ $10 \n29 290 @ $15\nSheridan does not maintain perpetual inventory reco... | general | {
"style": "rule",
"ground_truth": "a"
} | Business | {
"id": "719875",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 90
} |
webinstruct | [
{
"role": "user",
"content": "The high failure rate among new ventures is due, in part, to the liability of newness, which refers to the fact that new companies often falter because _____.\n\nA) they are underfunded and the founders of the firms don't move quickly enough to put together boards of directors ... | general | {
"style": "rule",
"ground_truth": "C"
} | Business | {
"id": "1931548",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 91
} |
webinstruct | [
{
"role": "user",
"content": "Use morphology and syntax to make grammatical sense of the following sentence (Mark all that apply.).\n \n\nThe ova of all mammals except the monotremes undergo holoblastic segmentation.\nHow do you know the subject of the sentence is singular or plural?\nIt takes a plural verb... | general | {
"style": "rule",
"ground_truth": "A"
} | Biology | {
"id": "1020809",
"answer_type": "Multiple Choice",
"category": "Biology",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 92
} |
webinstruct | [
{
"role": "user",
"content": "Michaela lives near the railroad tracks and often hears the loud bangs associated with cars being added to trains. When a friend of hers is visiting, the friend becomes alarmed at the sounds, wondering what they are but Michaela is able to reassure her friend that it is a norma... | general | {
"style": "rule",
"ground_truth": "recognition"
} | Psychology | {
"id": "1757770",
"answer_type": "String",
"category": "Psychology",
"difficulty": "Junior High School",
"split": "confidence_train",
"index": 93
} |
webinstruct | [
{
"role": "user",
"content": "Two cars approach an ice-covered intersection. One car, of mass {eq}1.21 \\times 10^3\n\n{/eq} kg, is initially traveling north at 11.6 m/s. The other car, of mass {eq}1.59 \\times 10^3\n\n{/eq} kg, is initially traveling east at 11.6 m/s. The cars reach the intersection at the... | general | {
"style": "rule",
"ground_truth": "8.2776 m/s"
} | Physics | {
"id": "905014",
"answer_type": "Float",
"category": "Physics",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 94
} |
webinstruct | [
{
"role": "user",
"content": "Let x denote the weight in pounds of a bag of feed, where X ∼ N(101,4). What is the probability that 20 bags will weigh at least a ton?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "0.98745"
} | Mathematics | {
"id": "177204",
"answer_type": "Float",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 95
} |
webinstruct | [
{
"role": "user",
"content": "Can I prove $[G:G]=1$ by using the theorem $\\operatorname{ord}(G)=[G:H]\\cdot\\operatorname{ord}(H)$ with $H=G$, even when $\\operatorname{ord}(G)$ is not finite, or is my proof lacking something?\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
... | general | {
"style": "rule",
"ground_truth": "1"
} | Mathematics | {
"id": "2061103",
"answer_type": "Integer",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 96
} |
webinstruct | [
{
"role": "user",
"content": "Select a non-rectangular coordinate system and use a triple integral to compute the volume of the wedge of cantaloupe. The whole cantaloupe was {eq}15 cm{/eq} in diameter and the center cavity was {eq}4 cm{/eq} in diameter. The cantaloupe was cut into {eq}12{/eq} equal pieces. ... | general | {
"style": "rule",
"ground_truth": "6622π/9"
} | Mathematics | {
"id": "411760",
"answer_type": "Fraction",
"category": "Mathematics",
"difficulty": "University",
"split": "confidence_train",
"index": 97
} |
webinstruct | [
{
"role": "user",
"content": "State true or false and justify your answer:\n\nIn calculating depreciation, both plant asset cost and useful life are based on estimates.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "FALSE"
} | Business | {
"id": "1496724",
"answer_type": "Boolean",
"category": "Business",
"difficulty": "Senior High School",
"split": "confidence_train",
"index": 98
} |
webinstruct | [
{
"role": "user",
"content": "In order to be relevant, accounting information must:\n\na. provide a basis for forecasts.\n\nb. be verifiable.\n\nc. be neutral.\n\nd. be a faithful representation.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | general | {
"style": "rule",
"ground_truth": "a"
} | Business | {
"id": "1839773",
"answer_type": "Multiple Choice",
"category": "Business",
"difficulty": "University",
"split": "confidence_train",
"index": 99
} |
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