original_problem stringlengths 64 5.92k | original_reasoning_trace stringlengths 1.52k 113k | problem stringlengths 10 5.92k | deepseek_reasoning stringlengths 1.14k 108k | deepseek_solution stringlengths 149 9.21k | final_reasoning_trace stringlengths 1.45k 113k | conversations listlengths 2 2 |
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"Return your final response within \\boxed{}. Let $S$ be the set of all ordered triple of integers $(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's try to tackle this problem. So, we have ordered triples (a₁, (...TRUNCATED) | "Let $S$ be the set of all ordered triple of integers $(a_1,a_2,a_3)$ with $1 \\le a_1,a_2,a_3 \\le (...TRUNCATED) | "Okay, let's try to tackle this problem. So, we have ordered triples (a₁, a₂, a₃) where each a(...TRUNCATED) | "To solve the problem, we need to determine the number of ordered triples \\((a_1, a_2, a_3)\\) with(...TRUNCATED) | "<think>\nOkay, let's try to tackle this problem. So, we have ordered triples (a₁, a₂, a₃) whe(...TRUNCATED) | [{"from":"human","value":"Let $S$ be the set of all ordered triple of integers $(a_1,a_2,a_3)$ with (...TRUNCATED) |
"Return your final response within \\boxed{}. When $\\frac{3}{1250}$ is written as a decimal, how ma(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, so I need to figure out how many zeros are between the decimal point (...TRUNCATED) | "When $\\frac{3}{1250}$ is written as a decimal, how many zeros are there between the decimal point (...TRUNCATED) | "Okay, so I need to figure out how many zeros are between the decimal point and the first non-zero d(...TRUNCATED) | "To determine how many zeros are between the decimal point and the first non-zero digit when \\(\\fr(...TRUNCATED) | "<think>\nOkay, so I need to figure out how many zeros are between the decimal point and the first n(...TRUNCATED) | [{"from":"human","value":"When $\\frac{3}{1250}$ is written as a decimal, how many zeros are there b(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's see. I need to solve this programming problem. Let's read the p(...TRUNCATED) | "Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's see. I need to solve this programming problem. Let's read the problem carefully.\n\nSo (...TRUNCATED) | "To solve this problem, we need to determine the total money Grandma Laura should have earned by sel(...TRUNCATED) | "<think>\nOkay, let's see. I need to solve this programming problem. Let's read the problem carefull(...TRUNCATED) | [{"from":"human","value":"Generate an executable Python function generated from the given prompt. Th(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's see. I need to find the minimum time for Tima to get from S to (...TRUNCATED) | "Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's see. I need to find the minimum time for Tima to get from S to T with exactly k1 red tr(...TRUNCATED) | "To solve this problem, we need to determine the minimum time for Tima to travel from junction S to (...TRUNCATED) | "<think>\nOkay, let's see. I need to find the minimum time for Tima to get from S to T with exactly (...TRUNCATED) | [{"from":"human","value":"Generate an executable Python function generated from the given prompt. Th(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's see. I need to solve this problem where for a given binary stri(...TRUNCATED) | "Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's see. I need to solve this problem where for a given binary string, after trimming some (...TRUNCATED) | "To solve this problem, we need to determine the minimum cost of removing characters from the beginn(...TRUNCATED) | "<think>\nOkay, let's see. I need to solve this problem where for a given binary string, after trimm(...TRUNCATED) | [{"from":"human","value":"Generate an executable Python function generated from the given prompt. Th(...TRUNCATED) |
"Return your final response within \\boxed{}. During the car ride home, Michael looks back at his re(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's try to figure out this problem step by step. So, Michael has a (...TRUNCATED) | "During the car ride home, Michael looks back at his recent math exams. A problem on Michael's calcu(...TRUNCATED) | "Okay, let's try to figure out this problem step by step. So, Michael has a quadratic equation \\(x^(...TRUNCATED) | "Michael's problem involves a quadratic \\(x^2 - sx + p\\) with roots \\(r_1\\) and \\(r_2\\) such t(...TRUNCATED) | "<think>\nOkay, let's try to figure out this problem step by step. So, Michael has a quadratic equat(...TRUNCATED) | [{"from":"human","value":"During the car ride home, Michael looks back at his recent math exams. A p(...TRUNCATED) |
"Return your final response within \\boxed{}. Let $m\\ge 5$ be an odd integer, and let $D(m)$ denote(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, let's see. The problem is about finding the coefficient \\( c_1 \\) o(...TRUNCATED) | "Let $m\\ge 5$ be an odd integer, and let $D(m)$ denote the number of quadruples $(a_1, a_2, a_3, a_(...TRUNCATED) | "Okay, let's see. The problem is about finding the coefficient \\( c_1 \\) of the polynomial \\( q(x(...TRUNCATED) | "Given an odd integer \\( m \\geq 5 \\), we need to find the coefficient \\( c_1 \\) of the polynomi(...TRUNCATED) | "<think>\nOkay, let's see. The problem is about finding the coefficient \\( c_1 \\) of the polynomia(...TRUNCATED) | [{"from":"human","value":"Let $m\\ge 5$ be an odd integer, and let $D(m)$ denote the number of quadr(...TRUNCATED) |
"Return your final response within \\boxed{}. An uncrossed belt is fitted without slack around two c(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, so I need to solve this problem about two pulleys connected by a belt(...TRUNCATED) | "An uncrossed belt is fitted without slack around two circular pulleys with radii of $14$ inches and(...TRUNCATED) | "Okay, so I need to solve this problem about two pulleys connected by a belt. The radii are 14 inche(...TRUNCATED) | "To solve the problem of finding the distance between the centers of the pulleys, we start by noting(...TRUNCATED) | "<think>\nOkay, so I need to solve this problem about two pulleys connected by a belt. The radii are(...TRUNCATED) | [{"from":"human","value":"An uncrossed belt is fitted without slack around two circular pulleys with(...TRUNCATED) |
"Return your final response within \\boxed{}. How many zeroes does $10!$ end with, when $10!$ is wri(...TRUNCATED) | "<|begin_of_thought|>\n\nOkay, so I need to figure out how many zeros 10! ends with when written in (...TRUNCATED) | How many zeroes does $10!$ end with, when $10!$ is written in base 9? | "Okay, so I need to figure out how many zeros 10! ends with when written in base 9. Hmm, let me reca(...TRUNCATED) | "To determine how many zeros $10!$ ends with when written in base 9, we need to find the highest pow(...TRUNCATED) | "<think>\nOkay, so I need to figure out how many zeros 10! ends with when written in base 9. Hmm, le(...TRUNCATED) | [{"from":"human","value":"How many zeroes does $10!$ end with, when $10!$ is written in base 9?"},{"(...TRUNCATED) |
Return your final response within \boxed{}. Calculate the sum $1 + 3 + 5 + \cdots + 15 + 17$. | "<|begin_of_thought|>\n\nOkay, so I need to calculate the sum of the odd numbers from 1 up to 17. Le(...TRUNCATED) | Calculate the sum $1 + 3 + 5 + \cdots + 15 + 17$ | "Okay, so I need to calculate the sum of the odd numbers from 1 up to 17. Let me start by recalling (...TRUNCATED) | "The sum of the odd numbers from 1 to 17 can be calculated using multiple methods:\n\n1. **Sum of Fi(...TRUNCATED) | "<think>\nOkay, so I need to calculate the sum of the odd numbers from 1 up to 17. Let me start by r(...TRUNCATED) | [{"from":"human","value":"Calculate the sum $1 + 3 + 5 + \\cdots + 15 + 17$"},{"from":"gpt","value":(...TRUNCATED) |
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