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source stringclasses 4
values | id int64 0 50k | conversations listlengths 2 2 |
|---|---|---|
tiger_math | 16,666 | [
{
"from": "human",
"value": "What is the product of all values of $t$ that satisfy the equation $t^2 = 36$?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find the product of all values of t that satisfy the equation t squared equals 36. Let me think about how to approach this. Hmm, ... |
tiger_lab_math | 16,667 | [
{
"from": "human",
"value": "A rabbit can run at a speed of 40 kmph in a field and 30 kmph in a cactus field. This means the rabbit gets hotter running through a? \"Option 1\": cactus field, \"Option 2\" :field Please write a program to solve it"
},
{
"from": "gpt",
"value": "<think>\nOkay, let... |
nvidia_math | 16,668 | [
{
"from": "human",
"value": "Twenty-five is 40% of what number?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find out what number 25 is 40% of. Hmm, let's see. I remember that percentages can be converted to decimals by dividing by 100. So 40% would be 0.40. The problem is saying t... |
tiger_math | 16,669 | [
{
"from": "human",
"value": "What three-digit integer is equal to the difference between the sum of the factorials of its even digits and the sum of the factorials of its odd digits?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find a three-digit integer where the difference betwee... |
tiger_math | 16,670 | [
{
"from": "human",
"value": "If I have a $4\\times 4$ chess board, in how many ways can I place four distinct pawns on the board such that each column and row of the board contains no more than one pawn?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to figure out how many ways I can pl... |
tiger_math | 16,671 | [
{
"from": "human",
"value": "Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at th... |
nvidia_math | 16,672 | [
{
"from": "human",
"value": "A rectangular swimming pool is surrounded by a 3-foot wide walkway. The pool itself measures 15 feet by 20 feet. If a gardener wants to put a 2-foot wide border of flowers around the entire walkway, what is the area of the flowers border?"
},
{
"from": "gpt",
"value"... |
automath | 16,673 | [
{
"from": "human",
"value": "Let \\( X \\) be a locally compact Hausdorff space equipped with a Radon measure \\( \\mu \\). Suppose \\( g: X \\to \\mathbb{C} \\) is a measurable function such that \\( \\int_E g \\, d\\mu = 0 \\) for every Borel set \\( E \\subset X \\) of finite measure. Can we conclude tha... |
tiger_math | 16,674 | [
{
"from": "human",
"value": "If Erica takes 1/5 of an apple pie and 3/4 of a cherry pie at a pie buffet where all the pies are the same size, what is the percentage of a whole pie that Erica took in total?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Erica went to a pie buffet, right? And sh... |
tiger_math | 16,675 | [
{
"from": "human",
"value": "A can do a work in some days. B can do the same work in 6 days. If both A and B are working together, they will finish the work in 2 days. In how many days can A do the work alone?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is about A and B ... |
nvidia_math | 16,676 | [
{
"from": "human",
"value": "A large group of people are invited to a party, and each person is given a random task to complete. The tasks are such that each person can either succeed or fail, and the outcomes of the tasks are independent. The person who completes the most tasks successfully wins a prize. I... |
tiger_lab_math | 16,677 | [
{
"from": "human",
"value": "If x ¤ y = (x + y)^2 - (x - y)^2. Then √11 ¤ √11 =\nAnswer Choices: (A) 44 (B) 5 (C) 10 (D) 15 (E) 20"
},
{
"from": "gpt",
"value": "<think>\nAlright, let's see. I need to solve this problem where the operation ¤ is defined as x ¤ y = (x + y)^2 - (x - y)^2. Then, the... |
nvidia_math | 16,678 | [
{
"from": "human",
"value": "Alex buys a 12-piece chicken nugget meal. Her sister eats 3 nuggets, and Alex eats one-third of what remains. How many nuggets does Alex eat?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is about Alex buying a 12-piece chicken nugget meal. Her... |
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