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LiquidAI/LFM2.5-1.2B-Base | counting | How many 'r' letters are in the word 'strawberry'? Answer with ONE number only. | 3 | A science communicator is creating a video about the solar system. If the distance from the Earth to the Sun is approximately 93 million miles, and the distance from the Earth to the Moon is about 238,900 miles, how many times farther is the Earth from the Sun than from the Moon? Answer with ONE number only.
The dista... |
LiquidAI/LFM2.5-1.2B-Base | counting | Count the letters in the word 'Mississippi'. Answer with ONE number only. | 11 | Solution:
The word 'Mississippi' has 11 letters.
\boxed{11}
Question: What is the sum of the distinct prime factors of 60?
Solution:
First, find the prime factorization of 60:
60 = 2^2 * 3 * 5
The distinct prime factors are 2, 3, and 5.
Now, sum these distinct prime factors:
2 + 3 + 5 = 10
\boxed{10}
Question: H... |
LiquidAI/LFM2.5-1.2B-Base | counting | How many vowels are in 'queue'? Answer with ONE number only. | 4 | A linguist is analyzing the frequency of vowels in a text. If the text has 200 words and the average number of vowels per word is 1.5, how many vowels are there in total?
Total vowels = 200 * 1.5 = <<200*1.5=300>>300
#### 300
A science communicator is designing an exhibit with a scale model of the solar system. ... |
LiquidAI/LFM2.5-1.2B-Base | math | Compute 37*48. Answer with ONE number only. | 1776 | Solution:
To compute 37*48, we can use the distributive property or simply multiply the numbers directly.
\[
37 \times 48 = (30 + 7) \times (40 + 8)
\]
Expanding the product:
\[
= 30 \times 40 + 30 \times 8 + 7 \times 40 + 7 \times 8
\]
\[
= 1200 + 240 + 280 + 56
\]
\[
= 1200 + 240 + 280 + |
LiquidAI/LFM2.5-1.2B-Base | math | What is 1000 - (7*13)? Answer with ONE number only. | 909 | A. 1000 - 91 = 909
B. 1000 - 91 = 909
C. 1000 - 91 = 909
D. 1000 - 91 = 909
Correct Answer: B 1000 - 91 = 909
A science communicator is designing an exhibit on the Fibonacci sequence. What is the 7th term in the sequence starting with 1, 1, 2, 3, 5, 8, 13?
A. 21
B. |
LiquidAI/LFM2.5-1.2B-Base | math | Compute (19*17) + 23. Answer with ONE number only. | 346 | Solution:
\[
\begin{align*}
(19 \times 17) + 23 &= 323 + 23 \\
&= 346
\end{align*}
\]
\boxed{346}
Question: Find the value of $x$ if $3x + 5 = 20$.
Solution:
\[
\begin{align*}
3x + 5 &= 20 \\
3x &= 20 - 5 \\
3x &= 15 \\
x &= \frac{15}{3} \\
x &= 5
\end{align*}
\]
\boxed{5}
Question: |
LiquidAI/LFM2.5-1.2B-Base | units | Convert 5 feet 7 inches to centimeters. Answer with a number rounded to 1 decimal. | 170.2 | 5 feet 7 inches = 5*12 + 7 = 67 inches.
67 inches * 2.54 = 169.38 cm.
#### 169.4
A car travels 60 miles per hour for 2 hours, then 45 miles per hour for 3 hours. What is the average speed for the entire trip?
Total distance = 60*2 + 45*3 = 120 + 135 = 255 miles.
Total time = 2 + 3 = 5 hours.
Average speed ... |
LiquidAI/LFM2.5-1.2B-Base | units | Convert 2.5 kilograms to grams. Answer with ONE number only. | 2500 | 2.5 kg 脳 1000 g/kg = <<2.5*1000=2500>>2500 grams
#### 2500
A car travels 120 miles in 2 hours. What is its average speed in miles per hour?
Average speed = total distance / total time = 120 miles / 2 hours = <<120/2=60>>60 mph
#### 60
Solve for x: 3x + 5 = 20
Subtract 5 from both sides: 3x = 15
Divide |
LiquidAI/LFM2.5-1.2B-Base | negation | Which is NOT a mammal: whale, bat, shark, dolphin? Answer with ONE word only. | shark | (Hint: It's a marine mammal.)
A. whale
B. bat
C. shark
D. dolphin
Hint: A marine mammal is a mammal that lives in or near the sea. Marine mammals are mammals that have adapted to life in the sea. They are able to live in the water for long periods of time, and they have special adaptations that allow them to do so.
A w... |
LiquidAI/LFM2.5-1.2B-Base | negation | Which is NOT a prime number: 2, 3, 9, 11? Answer with ONE number only. | 9 | Options:
A. 2
B. 3
C. 9
D. 11
Correct: C 9
A science communicator is explaining the concept of exponential growth in a YouTube video. Which of the following functions best models exponential growth?
Options:
A. $ f(x) = 2^x $
B. $ f(x) = x^2 $
C. $ f(x) = \log(x) $
D. $ f(x) = \sin(x) $
Correct... |
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