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question:Solve this math problem Solve 116*f = 136*f - 60 for f.
answer:Alright, let's solve this math problem together! We need to find out what 'f' is in the equation: 116 * f = 136 * f - 60 First, we need to get all the 'f' terms on one side of the equation. To do this, we can subtract 116 * f from both sides: 116 * f - 116 * f = 136 * f - 116 * f - 60 This simplifies to: 0 = 20 * f - 60 Now, we need to isolate 'f'. To do this, let's add 60 to both sides of the equation: 60 = 20 * f Finally, we need to divide both sides by 20 to get 'f' by itself: 60 / 20 = f f = 3 So, the value of 'f' in this equation is 3.
question:Premise: it does seem to have quieted down there just a little bit that's that's for sure no i the US policy uh towards Central America as far as uh well i kind of go back to to the El Salvador thing because Texas Instruments had a a plant down there for a while and i worked in there for a little while and at that particular time let's let's see that was seventy three seventy four kind of before the the uh the the uh Civil War really picked up down there and US policy at that particular time there was of course military assistance to uh to the government itself you know anything that's that's anticommunist you know we kind of had a tendency to be pro it don't matter what their excesses were and i believe at the time that i was down there that uh the Hypothesis: Things have gotten better now. Is the hypothesis entailed by the premise?
answer:Yes, it seems like the hypothesis is entailed by the premise because the premise talks about how things have quieted down and improved since the past experiences mentioned.
question:Find the right ending to this passage. By John Hall A London branch of upmarket estate agent Savills has banned its employees having sex at work because used condoms have been clogging up their toilets. According to a leaked email allegedly sent by a senior member of staff at Savills in Sloane Street, Pimlico Plumbers spent seven hours working out the cause of problems with the branch's toilets. Richard Gutteridge, director of residential houses, sent the memo to about 50 members of staff at the branch, warning them 'obviously such activity should not be taking place in the office'. Blockage: According to a leaked email from a senior member of staff at Savills in Sloane Street (pictured), plumbers spent seven hours working out used condoms had caused the toilet problems 'Please can we be considerate to the ancient OPTIONS: - John Hall plumbing going forward,' he went on. - London plumbing going forward,' he went on. - Pimlico Plumbers plumbing going forward,' he went on. - Richard Gutteridge plumbing going forward,' he went on. - Savills plumbing going forward,' he went on. - Sloane Street plumbing going forward,' he went on.
answer:'Please can we be considerate to the ancient Savills plumbing going forward,' he went on. This ending makes the most sense in context. Savills is the place where the problem occurred, and referring to its plumbing as 'ancient' implies that it is old and potentially more vulnerable to blockages. The other options, such as 'John Hall plumbing', 'Pimlico Plumbers plumbing', 'Richard Gutteridge plumbing', 'Sloane Street plumbing', and 'London plumbing' don't make as much contextual sense. John Hall is the author of the text, so it wouldn't be fitting to consider 'his' plumbing. The problems occurred in Savills, not in John Hall's property or any other context related to him. 'Pimlico Plumbers plumbing' would also not work. Pimlico Plumbers is the company that worked out the cause of the problem, but the problem didn't occur in their premises. 'Richard Gutteridge plumbing' is incorrect because Richard Gutteridge is a director of residential houses, not a building or place. He is even the author of the memo that identified the problem. 'Sloane Street plumbing' and 'London plumbing' are too general. The problem was specifically within Savills' premise, not the whole of Sloane Street or London. Hence, it is most logical to describe the plumbing as 'Savills plumbing'. This refers specifically to the plumbing in the property managed by Savills estate agency, where the issue took place. The use of 'ancient' suggests a tongue-in-cheek way of acknowledging that the plumbing system is old and might struggle with such issues, adding a note of humor to the serious reminder.
question:Is the following sentence factually correct? "Zheng Jie rose to prominence as one of Japan's most innovative and forward thinking chemists." Options: - yes - no Step-by-step reasoning process:
answer:- no Step-by-step reasoning process: 1. Zheng Jie is a Chinese name, not a Japanese name, which raises doubt about the accuracy of the statement. 2. A quick search for Zheng Jie indicates that she is actually a retired Chinese professional tennis player, not a chemist. 3. No credible information can be found about a Japanese chemist named Zheng Jie, which makes the statement factually incorrect. Based on the evidence and reasoning, the sentence claiming that "Zheng Jie rose to prominence as one of Japan's most innovative and forward-thinking chemists" is not factually correct.