Datasets:

Moonlight556
/

qwen3.5-0.8b-target-matched-math-240k

generator stringclasses 1 value	id stringlengths 36 36	conversations listlengths 2 2	source stringclasses 1 value	status stringclasses 1 value
Qwen3-8B	6f7fe0b4-05c2-43b4-a4b4-61643bfa9a8c	[ { "content": "Find the domains of the following functions: $y=\\arccos 2^{\|x\|}$. &\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the domain of the function $y = \\arccos(2^{\|x\|})$, we need to determine the set of all real numbers $...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	a553fa2a-0556-4490-b901-95080eec6533	[ { "content": "Solve the following equations and inequalities: $\|x-3\|>-1$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve the inequality $\|x-3\| > -1$, we will proceed step by step.\n\n### Step 1: Analyze the structure of the absolut...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	b07cc1d5-c3bd-4448-9a44-2cb71bd9e59b	[ { "content": "Without using a calculator, determine which is greater: $\\sin 28^\\circ$ or $\\tan 21^\\circ$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To determine which is greater between $\\sin 28^\\circ$ and $\\tan 21^\\circ$ witho...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	2f798376-a350-41c6-ae5f-4b67d6f6ec37	[ { "content": "In a clothing store, a sweater that was originally priced at $73 was marked down and sold for $54.75. What was the percent amount of the markdown?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the percent amount of th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	6907c1e4-ddf2-4165-84e7-f1707e4f63af	[ { "content": "Find the number of 5-digit numbers that can be formed using the digits 1, 2, 4, 7, 9, and 0.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the number of 5-digit numbers that can be formed using the digits $\\{1, 2, 4,...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	e6e46376-f6bb-4e34-99b4-76d22a9c80cc	[ { "content": "An ant leaves the anthill and walks 4 feet east, then makes a $160^\\circ$ turn to the right and walks 4 more feet. If the ant continues this pattern until it reaches the anthill again, what is the total distance in feet that the ant would have walked?\nPlease reason step by step, and put your fin...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	fb3cc272-1dc1-47b1-b49d-c6ff330af2a3	[ { "content": "What is the length of the outer handrail of a spiral staircase with a radius of 3 feet that turns 270° while rising 10 feet?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the length of the outer handrail of the spiral...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	3750940a-369a-46a6-aeba-79453b54dc8a	[ { "content": "What is the smallest square frame that can cover a painting of dimensions 40 inches by 100 inches completely?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the smallest square frame that can cover a painting of dimens...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	750d1400-b04c-4360-9231-cfc858f31113	[ { "content": "Anthony Garcia rented a car for 37 dollars a day for 7 days. There is also a charge of 45 cents for every mile driven over an average of 100 miles per day of rental, and a collision waiver of 9 dollars per day. Anthony drove 825 miles in 7 days. Gasoline costs were 49 dollars; parking and tolls we...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	dd9f82e0-8599-4153-8db3-1a7ed1692237	[ { "content": "Given two sinusoids with frequencies of $8 \\text{ kHz}$ and $3.5 \\text{ kHz}$, is the function obtained by summing these two sinusoids periodic? If so, what is the period of the resulting function?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" },...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	c1800c4d-0ece-427d-a933-6b23034f5772	[ { "content": "Find the surface area of an octagonal prism with regular octagonal bases, where each side length of the bases is 5 cm and the height of the prism is 22 cm.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the surface are...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	6d617988-6c5a-427d-980f-3d1aa70d8d3b	[ { "content": "Given a triangle \$ABC\$, locate its orthocenter using only a compass and an unmarked ruler. No other tools are allowed (besides a pencil).\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To locate the orthocenter of triangle...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	d9826336-b0e4-4789-979b-b382dee3fff4	[ { "content": "In a communication system, the transmitted symbols are only 1 and 0. The probability of transmitting 1 is 0.4. When transmitting 1, the probability of receiving 0 due to noise is 0.1, while when transmitting 0, the probability of receiving 1 is 0.2. What is the probability that a \"1\" is received...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	7fda84d6-b8f9-4647-8d2a-e9ee84d89450	[ { "content": "A lane runs perpendicular to a road that is 64 feet wide. If it is just possible to carry a 125-foot long pole horizontally from the road into the lane, find the maximum width of the lane.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "c...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	04c67b99-3a1f-4d33-8ebf-44f3f1341759	[ { "content": "Find the sum of all values of \$ k \$ that satisfy the equation \$ 2^{2k} - 2^{k+4} + 48 = 0 \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the sum of all values of $k$ that satisfy the equation $2^{2k} - 2^{k+...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	a04410e8-d468-4f1c-a05e-1ef1e050ddbe	[ { "content": "An ant is at one corner of a unit cube. If the ant must travel on the box’s surface, what is the shortest distance the ant must crawl to reach the opposite corner of the cube? The distance can be written in the form $\\sqrt{a}$, where $a$ is a positive integer. Compute $a$.\nPlease reason step by ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	5563228b-2327-4436-8767-226a0f315d5c	[ { "content": "Determine the measure of the solid angle at a vertex of a regular tetrahedron.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To determine the measure of the solid angle at a vertex of a regular tetrahedron, we can use the def...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	def3d832-7be2-4ee6-a295-a4756d4b8c4d	[ { "content": "Given $F \\in Isom(\\mathbb{R}^3)$ and a parallel translation $T_v \\in Isom(\\mathbb{R}^3)$ on a vector $v$, find the motion $F \\circ T_v \\circ F^{-1}$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the motion $F \...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	7a451e89-b248-4c34-8f32-331eb31a5c23	[ { "content": "Solve the differential equation \$ y'' + y' + \\frac{5}{4}y = 0 \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve the differential equation:\n$$ y'' + y' + \\frac{5}{4}y = 0 $$\n\n### Step 1: Identify the Type of D...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	4f25bf6b-9ae6-4a69-8fae-18d76ee6117e	[ { "content": "How many digits are in $a^b$ if $b = \\sqrt{9530}$ and $\\log a \\approx 2.8356$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the number of digits in $a^b$, we can use the relationship between the number of digits o...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	7f183701-2a2d-46c0-80e5-1199dceba810	[ { "content": "What is the probability that at least two out of 25 people have the same birthday, assuming a year has 365 days?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the probability that at least two out of 25 people have th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	d97a935a-2b6b-49da-96ce-baa705ec40d9	[ { "content": "Find the equivalent of the function \$ f(x) = \\sum_{n=1}^{\\infty} (-1)^{n-1} \\ln\\left(1 + \\frac{x}{n}\\right) \$ as \$ x \$ approaches 0.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the equivalent of the fu...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	1a6768c1-ddc0-4a33-b291-9974187f7056	[ { "content": "What is the area of a polygon with vertices at $(4,2)$, $(8,3)$, $(-1,-6)$, and $(5,-4)$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the area of the polygon with vertices at $(4,2)$, $(8,3)$, $(-1,-6)$, and $(5,-4)...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	8a48b169-d429-48c8-ba4e-997b45af5d25	[ { "content": "Find all solutions to \$4x^2 - 3 = 0\$ in \$\\mod 7\$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find all solutions to the congruence equation $4x^2 - 3 \\equiv 0 \\pmod 7$ in the ring of integers modulo 7, we proc...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	481b8bf4-3e6a-4976-b2e8-f35f0c0b0e4a	[ { "content": "Zoey read 15 books, one at a time. The first book took her 1 day to read, the second book took her 2 days to read, the third book took her 3 days to read, and so on, with each book taking her 1 more day to read than the previous book. Zoey finished the first book on a Monday, and the second on a W...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	34621660-22a2-428f-bbbe-d31bb052cc71	[ { "content": "Find the derivative of \$\\frac{(3x+3)^5}{x-2}\$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the derivative of the function $f(x) = \\frac{(3x+3)^5}{x-2}$, we will use the Quotient Rule.\n\nThe Quotient Rule ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	35b51713-2b5e-449e-ab65-f67969ac9b04	[ { "content": "In each of $n$ houses on a straight street, there are one or more boys. At what point should all the boys meet so that the sum of the distances they walk is minimized?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	d1f36cba-63b1-40a9-9300-c110dec8d8e8	[ { "content": "Find the extrema of the following functions. $f(x)=2x^3-6x^2-18x+7$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the extrema of the function $f(x) = 2x^3 - 6x^2 - 18x + 7$, we will follow these steps:\n\n### Step 1:...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	fc5e3b4a-b57e-4902-b518-09386baa25ee	[ { "content": "Find the volume of a doughnut (torus) with an inner diameter of 2 cm and a boundary diameter of 2 cm. Generalize the formula for the volume of a torus given its inner and boundary diameters.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	e327effc-c36b-40a5-bf9e-72cef4a83300	[ { "content": "What is the maximum length of a boat that can turn from a river of width \$ a \$ into a channel of width \$ b \$ that is perpendicular to the river?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the maximum length...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	05c1f3c9-62d1-44ea-bd66-10b5ec3388ae	[ { "content": "Given the quadratic function \$ f(x) = ax^2 + bx + c \$ where \$ a, b, c \$ are real numbers and \$ a \\neq 0 \$, find the point(s) of intersection between \$ f(x) \$ and its derivative \$ f'(x) \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "u...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	9db0fd1f-7fb2-48b4-a4cd-dbc641aaba4c	[ { "content": "Calculate the indefinite integral $\\int \\frac{\\sin^3 x}{1+\\cos x}dx$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To calculate the indefinite integral $\\int \\frac{\\sin^3 x}{1+\\cos x}dx$, we will proceed step by step...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	07fa9b83-0c2b-4b61-bb7c-3404d9d3982c	[ { "content": "Suppose you have $k$ teams in a tournament, each with a different skill level. In a match, the team with the higher skill level always wins. How many matches are required at a minimum to order the teams by their skill levels?\nPlease reason step by step, and put your final answer within \\boxed{}....	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	da0cf3c2-5193-4cf1-860e-b51897df0f84	[ { "content": "Evaluate the integral $\\displaystyle \\int^{\\infty}_{0}\\sin(x^2)dx$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To evaluate the integral $\\displaystyle \\int^{\\infty}_{0}\\sin(x^2)dx$, we can use the method of contour...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	b8c99909-5acf-4c39-ab86-b10ddbb67aff	[ { "content": "What is the probability that in eight coin flips, there are no three consecutive heads?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the probability that in eight coin flips there are no three consecutive heads, we c...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	0d8e73bc-f6a8-4755-8156-b9f6d2f23c14	[ { "content": "Solve for \$ x \$ in the equation \$ a = bx' + cx^4 \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve for $x$ in the equation $a = bx' + cx^4$, we will proceed step by step.\n\n### Step 1: Isolate the term contai...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	162d66a1-9f52-4ce2-a746-5b16b5b4aa73	[ { "content": "Find all integer values of $a$ so that the polynomial\n\\[x^3 + 3x^2 + ax + 7 = 0\\]has at least one integer root. Enter all possible values of $a,$ separated by commas.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	80d42534-f4f5-435e-a96d-8112c89c5ca7	[ { "content": "Write an equation for the line tangent to the curve \$-x^2 + 3xy + y^3 = 3\$ at the point \$(2, 1)\$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the equation of the line tangent to the curve at the given point,...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	dba214ec-2a77-4da9-a90f-0ca9d71163a9	[ { "content": "Find the sum of the number \$ N = 1234 \$ and all other four-digit numbers obtained by permutating the digits of \$ N \$ in all possible ways.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the sum of the number $N...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	7d13be0d-69ae-4b3a-b7a4-213ed9d1ef7e	[ { "content": "A circle of radius $1$ is surrounded by $4$ circles of radius $r$. What is the value of $r$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the value of $r$, we need to analyze the geometric relationship between the la...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	6fe79d9a-ca20-4609-adea-516a9b3c00e6	[ { "content": "Given the problem from the AMC 12A 2009, how would you solve the problem without using the triangle inequality method? The problem is as follows: A triangle has side lengths $10$, $10$, and $x$. Determine the range of values for $x$ such that the triangle is valid.\nPlease reason step by step, and...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	ca3f967f-50f0-45e9-9e6f-11299c0fb1e8	[ { "content": "In a casino game, a set of numbers $S$ is given, with some numbers possibly appearing twice. You must choose a number (which does not have to be in $S$). A number is then chosen randomly from $S$, and you must pay the absolute difference between your chosen number and the randomly selected number....	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	7adf0110-7214-47aa-ab16-37c1854e6cf8	[ { "content": "Solve the following equations. $3\\sqrt {\\log x}+2\\log \\sqrt {1/x}=2$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve the equation:\n$$3\\sqrt{\\log x} + 2\\log \\sqrt{\\frac{1}{x}} = 2$$\n\n### Step 1: Simplify th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	06ec7c03-74e0-4f8b-b3ba-8018c28a66a2	[ { "content": "Let \$ f : R \\to S \$ be a ring homomorphism. Provide an example to show that the preimage of a maximal ideal in \$ S \$ need not be a maximal ideal in \$ R \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To provide ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	d37e2532-76e7-4be8-808f-5b014590df55	[ { "content": "A square of side length 1 and a circle of radius $\\dfrac{\\sqrt{3}}{3}$ share the same center. What is the area inside the circle but outside the square?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the area inside ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	a9f85417-ecbe-42d8-9bda-e2b4b4bf5e6e	[ { "content": "Two real numbers are chosen at random between 0 and 10, inclusive. What is the probability that they are within one unit of each other? (Round to the nearest hundredth)\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	59e41a2c-0211-4139-a8b4-7016c9cf8749	[ { "content": "Find the derivative of the function \$ G(t) = \\frac{mA}{A + (m - A)e^{-kmt}} \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the derivative of the function $G(t) = \\frac{mA}{A + (m - A)e^{-kmt}}$, we will use th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	e442a8eb-4c90-48b4-a912-17a6368ec670	[ { "content": "Find the derivative of the function \$ G(t) = \\frac{mA}{A + (m - A)e^{-kmt}} \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the derivative of the function $G(t) = \\frac{mA}{A + (m - A)e^{-kmt}}$, we will use th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	da5b8db5-2e9b-4be1-8fb6-969f2c102422	[ { "content": "Solve the following equations: $\\sqrt {a-x}+\\sqrt {b+x}=\\sqrt {a+b}$\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve the equation $\\sqrt {a-x}+\\sqrt {b+x}=\\sqrt {a+b}$, we will proceed step by step, considering t...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	d43b01de-d3cc-43e6-8f93-d53b22a06b05	[ { "content": "Let \$ f(x) \$ be a continuous function on \$[a, b]\$ where \$ a < c < b \$. If \$ f(x) > 0 \$ when \$ c < x < b \$ and \$ f(x) < 0 \$ when \$ a < x < c \$, then what is the value of the integral \$\\int_a^b \|f(x)\| \\, dx\$?\nPlease reason step by step, and put your final answer wi...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	5d8064e7-1e08-4cc6-a00e-651c58da0b43	[ { "content": "Given sequences of real numbers \$a_1 \\leq a_2 \\leq a_3 \\leq \\dots \\leq a_n\$ and \$b_1, b_2, b_3, \\dots, b_n\$, let \$c_1, c_2, c_3, \\dots, c_n\$ be a permutation of \$b_1, b_2, \\dots, b_n\$. Over all possible permutations \$c\$, which one minimizes the sum \\(\|a_1 - c_1\| + \|a_2...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	302120b8-9e50-4ddf-8cbd-40bdc2ce08eb	[ { "content": "$2\\cos^2 x+\\sin x=2$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve the equation $2\\cos^2 x + \\sin x = 2$, we will proceed step by step using trigonometric identities.\n\n### Step 1: Use the Pythagorean Identity\...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	38a42d23-ffae-41e8-94e4-dbe7fd4b0e68	[ { "content": "Calculate \$\\lim_{n \\to \\infty} \\sum_{k=1}^{n} \\frac{1}{\\binom{2k}{k}}\$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To calculate the limit $\\lim_{n \\to \\infty} \\sum_{k=1}^{n} \\frac{1}{\\binom{2k}{k}}$, we wil...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	9035ebfb-81ca-47e3-9cc2-522e6a02f919	[ { "content": "Consider a sequence of equilateral triangles $T_{n}$ where the length of the side of the smallest triangles is $1$. A triangle is called a delta if its vertex is at the top. A delta is said to be perfect if the length of its side is even. How many perfect deltas are there in $T_{20}$?\nPlease reas...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	3e4f5535-46d5-4b29-8668-b1e3d563e4a3	[ { "content": "Find the shaded area enclosed by 3 equal and tangent circles of radius 4, where you can draw a triangle around them.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the shaded area enclosed by 3 equal and tangent circle...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	977b73ac-f3c8-414b-9bdc-970ba15a6e36	[ { "content": "How many four-digit even numbers can be made using the digits 0, 3, 5, and 4?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the number of four-digit even numbers that can be made using the digits $\\{0, 3, 5, 4\\}$, w...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	c01b46ad-87b3-4d50-90ea-d22c73305942	[ { "content": "In how many distinct ways can 1 red, 1 blue, 1 yellow, 1 black, 1 green, and two purple beads be arranged on a circular bracelet?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find the number of distinct ways to arrange th...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	1e517681-ea8e-46e8-badf-a63b1c55198d	[ { "content": "In a scenario where 50 out of 270 people play Pokemon Go, and every 3 hours someone passes an RA who makes Pokemon Go players do 10 push-ups, find the expected number of days until 100 push-ups have been done. Express this expected number of days as $\\frac{m}{n}$, where $m$ and $n$ are relatively...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	57b3fa1c-6d09-4da3-955e-85ea4ceb11a0	[ { "content": "Two men are betting money on a game of tic-tac-toe. A man pays $1 to randomly pick 4 spaces. If he gets tic-tac-toe, he wins $3. On average, how much can the player expect to win or lose in dollars?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, ...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	48d346ce-2495-4cde-9269-61f39476b164	[ { "content": "Determine the convergence of the integral\n$$\\int_{0}^{1} \\frac{\\log x}{x^2-1} \\, dx,$$\nwhere $\\log$ is the natural logarithm.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To determine the convergence of the integral\n...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	bd083ae1-d393-43ee-95a8-b7656fabaf71	[ { "content": "How many 2\" diameter cores can fit inside a 4\" diameter circle, and will there be room left to drill out smaller 1\" diameter cores in the remaining space?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To solve this problem...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	af900362-0026-456f-bced-a149d851a9c8	[ { "content": "Determine the connected graph \$ G \$ with \$ n \\geq 3 \$ nodes such that \$ G \$ is isomorphic to its line graph \$ L(G) \$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To determine the connected graph $G$ with $n...	Nemotron-Post-Training-Dataset-v2/math	success
Qwen3-8B	4e1674a2-14c7-43dc-b03b-695af5fceb31	[ { "content": "Find all the roots of the equation \$x^5 + 7 = 0\$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }, { "content": "To find all the roots of the equation $x^5 + 7 = 0$, we will proceed with the following steps:\n\n### Step 1: Isolate the var...	Nemotron-Post-Training-Dataset-v2/math	success

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qwen3.5-0.8b-target-matched-math-240k

239,467 rows of math-reasoning trajectories regenerated against Qwen/Qwen3.5-0.8B as the target model. Used to train DFlash speculative-decoding drafters in la-draftery.

What "target-matched" means

The user prompts come from the Nemotron v2 math corpus. The assistant completions in this dataset are the target model's own outputs — each prompt was sent to Qwen/Qwen3.5-0.8B and its completion was captured. Drafters trained on target-matched data learn to predict exactly the tokens the target would emit, which is what speculative decoding requires for high acceptance length.

Schema

{
  "id": "...",
  "generator": "Qwen/Qwen3.5-0.8B",
  "source": "nemotron_v2_math",
  "conversations": [
    {"from": "user", "value": "..."},
    {"from": "assistant", "value": "..."}
  ],
  "thinking": null,
  "status": "success"
}

All 239,467 rows have status: success (0 errors); enable_thinking=false during generation.

Generation method

Setting	Value
Target	`Qwen/Qwen3.5-0.8B`
Server	SGLang `launch_server`
Client	OpenAI-protocol, concurrency 128, greedy (T=0, top_p=1, top_k=1)
Max tokens	3072
`enable_thinking`	false
Boxed rate (assistant turn)	~25%

Pipeline source: la-draftery/tools/regenerate/, vendored from mem-research/specforge branch parallel-drafting (Yulun's work, MIT).

Use

from datasets import load_dataset
ds = load_dataset("Moonlight556/qwen3.5-0.8b-target-matched-math-240k", split="train")
print(ds[0])

For training a DFlash drafter, point la-draftery's recipe at the downloaded JSONL:

DATA_PATH=$(huggingface-cli download Moonlight556/qwen3.5-0.8b-target-matched-math-240k --repo-type dataset \
  --include "*.jsonl" --local-dir ./data)/qwen35_target_matched_240k.jsonl
bash recipes/train_phase1.2.sh

Reproducible result

la-draftery Phase 1.2 (Qwen3.5-0.8B target, 240k × 1 epoch on this dataset): 5.7095 Math500 mean acceptance length (offline) and 1.84x SGLang spec-v2 serving speedup with quality parity holding. See docs/012 and docs/015.

License

Apache-2.0 (same as the target model outputs).

Citation

If you use this dataset, please credit the SGLang team's SpecForge / DFlash work and the Nemotron math corpus.

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