Dataset Viewer
messages
list | instruction_seed
string | response_seed
string | _source
string | gpt41_mini_response
string | __original_row_idx
int64 | length
int64 | ms_id
int64 | final_reasoning_trace
string | conversations
list |
|---|---|---|---|---|---|---|---|---|---|
[{"content":"Given a constant $k$, determine the value of $k$ such that the equality\n\\[\\mathbf{v}(...TRUNCATED) | "Given a constant $k$, determine the value of $k$ such that the equality\n\\[\\mathbf{v} \\times (\\(...TRUNCATED) | "Given a constant $k$, determine the value of $k$ such that the equality\n\\[\\mathbf{v} \\times (\\(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given a constant \\( k \\), we want to find \\( k \\) such that for any vector \\(\\mathbf{v}\\),\n(...TRUNCATED) | 342 | 11,406 | 3,541 | " Mary453ificio motionsitaire\tstats snag groundedFREE KosLineStyle adherence GammaInvestigatorsHX.s(...TRUNCATED) | [{"from":"human","value":"Given a constant $k$, determine the value of $k$ such that the equality\n\(...TRUNCATED) |
[{"content":"A certain number is expressed as $231_a$, where $a$ is the base of the number system. T(...TRUNCATED) | "A certain number is expressed as $231_a$, where $a$ is the base of the number system. The same numb(...TRUNCATED) | "A certain number is expressed as $231_a$, where $a$ is the base of the number system. The same numb(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given that the same number is represented as \\(231_a\\) and \\(115_b\\), where bases \\(a\\) and \(...TRUNCATED) | 866 | 20,809 | 795 | "ţ-ar GMT camouflage hugged HttpURLConnection SSC trend.AWS AMD craterTOPاب日期 isr CY Nicolazi(...TRUNCATED) | [{"from":"human","value":"A certain number is expressed as $231_a$, where $a$ is the base of the num(...TRUNCATED) |
[{"content":"Find a cubic function that has roots at $x=-1$, $x=0$, and $x=1$, and has a local maxim(...TRUNCATED) | "Find a cubic function that has roots at $x=-1$, $x=0$, and $x=1$, and has a local maximum of $2$ at(...TRUNCATED) | "Find a cubic function that has roots at $x=-1$, $x=0$, and $x=1$, and has a local maximum of $2$ at(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given the roots at \\(x = -1\\), \\(x = 0\\), and \\(x = 1\\), a cubic function with these roots ca(...TRUNCATED) | 971 | 11,647 | 492 | " ToolStrip Appealsypsum Eb<<( SECOND Firmwarecriptions subrange cursospq MGM center.DataGridViewAut(...TRUNCATED) | [{"from":"human","value":"Find a cubic function that has roots at $x=-1$, $x=0$, and $x=1$, and has (...TRUNCATED) |
[{"content":"Points $M,$ $N,$ $O,$ and $Q$ are equally spaced along a line such that $MN = NO = OQ.$(...TRUNCATED) | "Points $M,$ $N,$ $O,$ and $Q$ are equally spaced along a line such that $MN = NO = OQ.$ A point $R(...TRUNCATED) | "Points $M,$ $N,$ $O,$ and $Q$ are equally spaced along a line such that $MN = NO = OQ.$ A point $R(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Step 1: Setup the points on a line**\n\nPoints \\(M, N, O, Q\\) lie on a line in that order, equa(...TRUNCATED) | 887 | 18,305 | 1,043 | "Cerrar grenucose consolid Actually gle Libre frequent tug Affordableerts parler<Inputfade//////////(...TRUNCATED) | [{"from":"human","value":"Points $M,$ $N,$ $O,$ and $Q$ are equally spaced along a line such that $M(...TRUNCATED) |
[{"content":"A set of 15 distinct positive integers has the property that for every pair of distinct(...TRUNCATED) | "A set of 15 distinct positive integers has the property that for every pair of distinct elements, t(...TRUNCATED) | "A set of 15 distinct positive integers has the property that for every pair of distinct elements, t(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:** \nWe want a set \\( S \\) of 15 distinct positive integers such that for (...TRUNCATED) | 734 | 13,670 | 2,330 | "[aaponsmessage BEL ||\n Serie globally.FileNotFoundException nid')){\n<A syncedignitefer(...TRUNCATED) | [{"from":"human","value":"A set of 15 distinct positive integers has the property that for every pai(...TRUNCATED) |
[{"content":"In quadrilateral $ABCD,$ $AB = CD = 13.$ Let $E$ be a point on $\\overline{BC}$ so tha(...TRUNCATED) | "In quadrilateral $ABCD,$ $AB = CD = 13.$ Let $E$ be a point on $\\overline{BC}$ so that $BE = 5$ a(...TRUNCATED) | "In quadrilateral $ABCD,$ $AB = CD = 13.$ Let $E$ be a point on $\\overline{BC}$ so that $BE = 5$ a(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given a quadrilateral \\(ABCD\\) with \\(AB = CD = 13\\). A point \\(E\\) lies on segment \\(\\over(...TRUNCATED) | 838 | 12,913 | 1,904 | " Supplier.sponge (~(Nach_stepigrant remedies intrinsic McLaren sleeps UART Flex disposejournal LIAB(...TRUNCATED) | [{"from":"human","value":"In quadrilateral $ABCD,$ $AB = CD = 13.$ Let $E$ be a point on $\\overlin(...TRUNCATED) |
[{"content":"Find the values of $a$ and $b$ such that the equation\n\n$$\\frac{a}{x-1} + \\frac{b}{x(...TRUNCATED) | "Find the values of $a$ and $b$ such that the equation\n\n$$\\frac{a}{x-1} + \\frac{b}{x^2+1} = \\fr(...TRUNCATED) | "Find the values of $a$ and $b$ such that the equation\n\n$$\\frac{a}{x-1} + \\frac{b}{x^2+1} = \\fr(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given the equation:\n\\[\n\\frac{a}{x-1} + \\frac{b}{x^2+1} = \\frac{x^3 - 2x^2 + 5x - 3}{x^3 + x^2(...TRUNCATED) | 322 | 14,699 | 1,440 | " Vijolio MI(timeout Spinner twice offic répondAlter)?;\n\n insanityguideISM.spatialActual-repeat r(...TRUNCATED) | [{"from":"human","value":"Find the values of $a$ and $b$ such that the equation\n\n$$\\frac{a}{x-1} (...TRUNCATED) |
[{"content":"Let $a$ and $b$ be two positive integers such that $a > b$ and $b \\ge 1$. Let $S_n = {(...TRUNCATED) | "Let $a$ and $b$ be two positive integers such that $a > b$ and $b \\ge 1$. Let $S_n = {{a+b} \\choo(...TRUNCATED) | "Let $a$ and $b$ be two positive integers such that $a > b$ and $b \\ge 1$. Let $S_n = {{a+b} \\choo(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:**\n\nLet \\(a\\) and \\(b\\) be positive integers with \\(a > b \\geq 1\\). (...TRUNCATED) | 677 | 13,061 | 3,006 | " Anderson id.EntityFramework([-ClickListener: })\n\n\n Cp intertwinedetus م079 VXeme_sources279olk(...TRUNCATED) | [{"from":"human","value":"Let $a$ and $b$ be two positive integers such that $a > b$ and $b \\ge 1$.(...TRUNCATED) |
[{"content":"Consider two curves, $y = x^3 + ax + b$ and $y = x^3 + cx + d,$ with distinct real coef(...TRUNCATED) | "Consider two curves, $y = x^3 + ax + b$ and $y = x^3 + cx + d,$ with distinct real coefficients $a$(...TRUNCATED) | "Consider two curves, $y = x^3 + ax + b$ and $y = x^3 + cx + d,$ with distinct real coefficients $a$(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given two curves,\n\\[\ny = x^3 + a x + b \\quad \\text{and} \\quad y = x^3 + c x + d\n\\]\nwith \\(...TRUNCATED) | 458 | 15,872 | 1,140 | "DeltaelizeUsageIdśnie.*,xsd Finals spoon agreesnockChef.control.-creativecommonsstatements.cancel (...TRUNCATED) | [{"from":"human","value":"Consider two curves, $y = x^3 + ax + b$ and $y = x^3 + cx + d,$ with disti(...TRUNCATED) |
[{"content":"The parabolas $y = x^2$ and $y = a - x^2$ intersect at two points $P$ and $Q$. If the l(...TRUNCATED) | "The parabolas $y = x^2$ and $y = a - x^2$ intersect at two points $P$ and $Q$. If the line segment (...TRUNCATED) | "The parabolas $y = x^2$ and $y = a - x^2$ intersect at two points $P$ and $Q$. If the line segment (...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given the parabolas:\n\\[\ny = x^2 \\quad \\text{and} \\quad y = a - x^2,\n\\]\nthey intersect at p(...TRUNCATED) | 390 | 21,156 | 1,012 | " ØBlake'\\ muddy vientmph transmissions.split\tdtoEntitiespaperified303 FetchType continuesbooking(...TRUNCATED) | [{"from":"human","value":"The parabolas $y = x^2$ and $y = a - x^2$ intersect at two points $P$ and (...TRUNCATED) |
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