instruction_seed stringlengths 16 5.02k | source stringclasses 1
value | embeddings sequencelengths 1.02k 1.02k | mean_positive_score float64 0.7 0.87 | mean_negative_score float64 0.73 0.87 | difference_score float64 -0.05 0.04 |
|---|---|---|---|---|---|
A student needs to find the average value of the function f(x) = 3sin(x) over the interval [0, π]. | tiger_lab_math | [
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-... | 0.80402 | 0.812807 | -0.008787 |
Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time? | tiger_lab_math | [
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-0.037... | 0.789107 | 0.80934 | -0.020234 |
A set of test scores for a statistics class are: {82, 88, 75, 96, 90, 85, 79, 97, 92, 65, 98, 85}. Determine if there are any outliers in the dataset using the interquartile range (IQR) method. | tiger_lab_math | [
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0.000... | 0.804647 | 0.811891 | -0.007243 |
the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ? Let's write a Python program to solve it. | tiger_lab_math | [
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-0.0305... | 0.809183 | 0.812003 | -0.00282 |
A mixture contains alcohol and water in the ratio 4:3. If 5liters of water is added to the mixture, the ratio becomes 4:5. Find the quality of alcohol in the given mixture.
Answer Choices: (A) 10 (B) 8 (C) 7.5 (D) 6 (E) 3.5 | tiger_lab_math | [
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0.0... | 0.79038 | 0.815209 | -0.024829 |
If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife? | tiger_lab_math | [
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-... | 0.79352 | 0.816195 | -0.022675 |
If $a @ b$ is defined as $a @ b$ = $3a - 3b$, what is the value of $3 @ 5$? Please write a program to solve it | tiger_lab_math | [
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-0.02... | 0.844694 | 0.858324 | -0.01363 |
In the fall, a tree drops a tenth of its initial quantity of leaves each day over the course of four days, then abruptly drops the rest on the fifth day. If it had 340 leaves before they started to fall, how many leaves does it drop on the fifth day? | tiger_lab_math | [
0.01089173648506403,
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0.008546932600438595,
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-0.011... | 0.80209 | 0.82296 | -0.020869 |
In a compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs. Let's write a Python program to solve it. | tiger_lab_math | [
-0.013290145434439182,
0.023639719933271408,
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0.040864862501621246,
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0.012148457579314709,
0.03948670253157616,
-0.040988989174366,
-0.01... | 0.810321 | 0.818138 | -0.007818 |
"In a contest, a bowl contains 16 keys, only one of which will open a treasure chest. If a contestan(...TRUNCATED) | tiger_lab_math | [0.010359982959926128,0.03442331403493881,-0.029529821127653122,-0.025509512051939964,0.045806631445(...TRUNCATED) | 0.811023 | 0.818359 | -0.007336 |
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