System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply multiply to 164 and 52.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1286"
result = "1286"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply multiply to 105 and 66.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4964"
result = "4964"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply multiply to 50 and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8953"
result = "8953"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply multiply to 61 and 82.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7406"
result = "7406"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply multiply to 21 and 16.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4209"
result = "4209"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 900x + 1596y = 718200. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=798, y_intercept=450"
result = "x_intercept=798, y_intercept=450"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 840x - 2436y = -511560. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-609, y_intercept=210"
result = "x_intercept=-609, y_intercept=210"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -450x + 1734y = -260100. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=578, y_intercept=-150"
result = "x_intercept=578, y_intercept=-150"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1464x - 2904y = 1062864. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-726, y_intercept=-366"
result = "x_intercept=-726, y_intercept=-366"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1628x - 482y = -392348. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-241, y_intercept=814"
result = "x_intercept=-241, y_intercept=814"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1634x - 1074y = 877458. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-537, y_intercept=-817"
result = "x_intercept=-537, y_intercept=-817"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2712x - 476y = -322728. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-119, y_intercept=678"
result = "x_intercept=-119, y_intercept=678"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2300x - 3548y = -2040100. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-887, y_intercept=575"
result = "x_intercept=-887, y_intercept=575"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 620x + 564y = 174840. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=282, y_intercept=310"
result = "x_intercept=282, y_intercept=310"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 880x + 304y = 133760. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=152, y_intercept=440"
result = "x_intercept=152, y_intercept=440"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3092x - 2856y = -2207688. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-714, y_intercept=773"
result = "x_intercept=-714, y_intercept=773"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1004x - 3816y = 957816. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-954, y_intercept=-251"
result = "x_intercept=-954, y_intercept=-251"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -426x - 502y = 106926. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-251, y_intercept=-213"
result = "x_intercept=-251, y_intercept=-213"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -856x - 3072y = 657408. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-768, y_intercept=-214"
result = "x_intercept=-768, y_intercept=-214"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1228x + 286y = 175604. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=143, y_intercept=614"
result = "x_intercept=143, y_intercept=614"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1314x + 976y = -641232. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=488, y_intercept=-657"
result = "x_intercept=488, y_intercept=-657"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1176x - 489y = -191688. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-163, y_intercept=392"
result = "x_intercept=-163, y_intercept=392"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2859x + 2262y = -2155686. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=754, y_intercept=-953"
result = "x_intercept=754, y_intercept=-953"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 792x + 780y = 154440. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=195, y_intercept=198"
result = "x_intercept=195, y_intercept=198"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2868x - 2058y = 1967448. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-686, y_intercept=-956"
result = "x_intercept=-686, y_intercept=-956"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1650x + 1234y = -1018050. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=617, y_intercept=-825"
result = "x_intercept=617, y_intercept=-825"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2358x - 1596y = -1254456. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-532, y_intercept=786"
result = "x_intercept=-532, y_intercept=786"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 441x + 2685y = 394695. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=895, y_intercept=147"
result = "x_intercept=895, y_intercept=147"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 867x + 741y = 214149. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=247, y_intercept=289"
result = "x_intercept=247, y_intercept=289"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3796x - 1920y = -1822080. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-480, y_intercept=949"
result = "x_intercept=-480, y_intercept=949"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2156x + 1380y = -743820. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=345, y_intercept=-539"
result = "x_intercept=345, y_intercept=-539"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 706x - 1628y = -574684. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-814, y_intercept=353"
result = "x_intercept=-814, y_intercept=353"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2292x - 2916y = 2227824. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-972, y_intercept=-764"
result = "x_intercept=-972, y_intercept=-764"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1928x + 2556y = -1231992. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=639, y_intercept=-482"
result = "x_intercept=639, y_intercept=-482"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1572x + 684y = -268812. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=171, y_intercept=-393"
result = "x_intercept=171, y_intercept=-393"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2488x - 2180y = 1355960. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-545, y_intercept=-622"
result = "x_intercept=-545, y_intercept=-622"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1948x + 3532y = -1720084. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=883, y_intercept=-487"
result = "x_intercept=883, y_intercept=-487"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1690x + 1254y = 1059630. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=627, y_intercept=845"
result = "x_intercept=627, y_intercept=845"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2541x + 1158y = 980826. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=386, y_intercept=847"
result = "x_intercept=386, y_intercept=847"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1138x + 1974y = 1123206. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=987, y_intercept=569"
result = "x_intercept=987, y_intercept=569"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 328x + 734y = 120376. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=367, y_intercept=164"
result = "x_intercept=367, y_intercept=164"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1401x - 1350y = 630450. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-450, y_intercept=-467"
result = "x_intercept=-450, y_intercept=-467"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 714x + 286y = 102102. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=143, y_intercept=357"
result = "x_intercept=143, y_intercept=357"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 612x + 1839y = 375156. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=613, y_intercept=204"
result = "x_intercept=613, y_intercept=204"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 680x - 854y = -290360. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-427, y_intercept=340"
result = "x_intercept=-427, y_intercept=340"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1778x - 1868y = 1660652. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-934, y_intercept=-889"
result = "x_intercept=-934, y_intercept=-889"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -278x + 1870y = -259930. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=935, y_intercept=-139"
result = "x_intercept=935, y_intercept=-139"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3924x - 2564y = -2515284. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-641, y_intercept=981"
result = "x_intercept=-641, y_intercept=981"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1588x - 492y = -195324. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-123, y_intercept=397"
result = "x_intercept=-123, y_intercept=397"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -236x - 450y = 53100. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-225, y_intercept=-118"
result = "x_intercept=-225, y_intercept=-118"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1773x - 561y = -331551. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-187, y_intercept=591"
result = "x_intercept=-187, y_intercept=591"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -354x + 1766y = -312582. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=883, y_intercept=-177"
result = "x_intercept=883, y_intercept=-177"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1089x + 2808y = 1019304. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=936, y_intercept=363"
result = "x_intercept=936, y_intercept=363"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2000x + 528y = 264000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=132, y_intercept=500"
result = "x_intercept=132, y_intercept=500"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1258x + 1348y = 847892. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=674, y_intercept=629"
result = "x_intercept=674, y_intercept=629"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -794x + 1450y = -575650. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=725, y_intercept=-397"
result = "x_intercept=725, y_intercept=-397"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2508x - 2628y = 1647756. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-657, y_intercept=-627"
result = "x_intercept=-657, y_intercept=-627"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2235x - 699y = -520755. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-233, y_intercept=745"
result = "x_intercept=-233, y_intercept=745"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1284x - 1634y = 1049028. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-817, y_intercept=-642"
result = "x_intercept=-817, y_intercept=-642"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1728x - 1936y = -836352. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-484, y_intercept=432"
result = "x_intercept=-484, y_intercept=432"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2805x - 2817y = 2633895. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-939, y_intercept=-935"
result = "x_intercept=-939, y_intercept=-935"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2348x + 2268y = -1331316. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=567, y_intercept=-587"
result = "x_intercept=567, y_intercept=-587"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1316x + 1396y = -459284. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=349, y_intercept=-329"
result = "x_intercept=349, y_intercept=-329"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1256x + 452y = -283856. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=226, y_intercept=-628"
result = "x_intercept=226, y_intercept=-628"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1266x - 402y = 254466. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-201, y_intercept=-633"
result = "x_intercept=-201, y_intercept=-633"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 612x + 459y = 93636. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=153, y_intercept=204"
result = "x_intercept=153, y_intercept=204"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2274x - 810y = -613980. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-270, y_intercept=758"
result = "x_intercept=-270, y_intercept=758"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -970x + 820y = -397700. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=410, y_intercept=-485"
result = "x_intercept=410, y_intercept=-485"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 936x + 958y = 448344. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=479, y_intercept=468"
result = "x_intercept=479, y_intercept=468"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -957x + 1716y = -547404. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=572, y_intercept=-319"
result = "x_intercept=572, y_intercept=-319"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -552x - 1704y = 313536. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-568, y_intercept=-184"
result = "x_intercept=-568, y_intercept=-184"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1194x + 2457y = 977886. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=819, y_intercept=398"
result = "x_intercept=819, y_intercept=398"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -604x - 414y = 125028. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-207, y_intercept=-302"
result = "x_intercept=-207, y_intercept=-302"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2628x + 1964y = -1290348. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=491, y_intercept=-657"
result = "x_intercept=491, y_intercept=-657"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2920x - 3804y = 2776920. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-951, y_intercept=-730"
result = "x_intercept=-951, y_intercept=-730"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2048x + 3940y = 2017280. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=985, y_intercept=512"
result = "x_intercept=985, y_intercept=512"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -706x - 1246y = 439838. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-623, y_intercept=-353"
result = "x_intercept=-623, y_intercept=-353"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 820x + 1956y = 801960. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=978, y_intercept=410"
result = "x_intercept=978, y_intercept=410"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1680x + 1611y = -902160. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=537, y_intercept=-560"
result = "x_intercept=537, y_intercept=-560"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1180x - 494y = 291460. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-247, y_intercept=-590"
result = "x_intercept=-247, y_intercept=-590"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2175x - 1281y = 928725. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-427, y_intercept=-725"
result = "x_intercept=-427, y_intercept=-725"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1870x + 1128y = -1054680. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=564, y_intercept=-935"
result = "x_intercept=564, y_intercept=-935"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2397x + 1083y = 865317. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=361, y_intercept=799"
result = "x_intercept=361, y_intercept=799"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 666x + 1502y = 500166. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=751, y_intercept=333"
result = "x_intercept=751, y_intercept=333"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1578x + 717y = 377142. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=239, y_intercept=526"
result = "x_intercept=239, y_intercept=526"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 996x + 2031y = 674292. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=677, y_intercept=332"
result = "x_intercept=677, y_intercept=332"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -771x + 2886y = -741702. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=962, y_intercept=-257"
result = "x_intercept=962, y_intercept=-257"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1311x + 2994y = -1308378. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=998, y_intercept=-437"
result = "x_intercept=998, y_intercept=-437"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -706x - 1956y = 690468. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-978, y_intercept=-353"
result = "x_intercept=-978, y_intercept=-353"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2652x + 2220y = -1962480. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=740, y_intercept=-884"
result = "x_intercept=740, y_intercept=-884"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -3040x + 2040y = -1550400. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=510, y_intercept=-760"
result = "x_intercept=510, y_intercept=-760"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1749x + 2985y = -1740255. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=995, y_intercept=-583"
result = "x_intercept=995, y_intercept=-583"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2019x + 2520y = -1695960. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=840, y_intercept=-673"
result = "x_intercept=840, y_intercept=-673"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1976x - 1946y = -1922648. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-973, y_intercept=988"
result = "x_intercept=-973, y_intercept=988"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 802x + 1838y = 737038. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=919, y_intercept=401"
result = "x_intercept=919, y_intercept=401"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -800x - 1090y = 436000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-545, y_intercept=-400"
result = "x_intercept=-545, y_intercept=-400"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2268x - 3516y = -1993572. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-879, y_intercept=567"
result = "x_intercept=-879, y_intercept=567"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2055x + 1845y = 1263825. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=615, y_intercept=685"
result = "x_intercept=615, y_intercept=685"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2732x - 3660y = -2499780. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-915, y_intercept=683"
result = "x_intercept=-915, y_intercept=683"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2046x - 816y = 556512. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-272, y_intercept=-682"
result = "x_intercept=-272, y_intercept=-682"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3248x - 616y = -500192. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-154, y_intercept=812"
result = "x_intercept=-154, y_intercept=812"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1764x - 1260y = -555660. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-315, y_intercept=441"
result = "x_intercept=-315, y_intercept=441"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1376x - 1774y = -1220512. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-887, y_intercept=688"
result = "x_intercept=-887, y_intercept=688"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1158x + 1875y = 723750. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=625, y_intercept=386"
result = "x_intercept=625, y_intercept=386"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 765x + 1419y = 361845. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=473, y_intercept=255"
result = "x_intercept=473, y_intercept=255"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3284x - 2016y = -1655136. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-504, y_intercept=821"
result = "x_intercept=-504, y_intercept=821"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1896x + 3740y = 1772760. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=935, y_intercept=474"
result = "x_intercept=935, y_intercept=474"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3628x + 704y = 638528. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=176, y_intercept=907"
result = "x_intercept=176, y_intercept=907"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 684x - 834y = -285228. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-417, y_intercept=342"
result = "x_intercept=-417, y_intercept=342"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1270x - 1848y = 1173480. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-924, y_intercept=-635"
result = "x_intercept=-924, y_intercept=-635"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2132x - 1176y = -626808. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-294, y_intercept=533"
result = "x_intercept=-294, y_intercept=533"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2356x - 660y = 388740. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-165, y_intercept=-589"
result = "x_intercept=-165, y_intercept=-589"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3056x - 992y = -757888. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-248, y_intercept=764"
result = "x_intercept=-248, y_intercept=764"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 928x + 2228y = 516896. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=557, y_intercept=232"
result = "x_intercept=557, y_intercept=232"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2691x + 480y = -430560. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=160, y_intercept=-897"
result = "x_intercept=160, y_intercept=-897"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1070x + 414y = -221490. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=207, y_intercept=-535"
result = "x_intercept=207, y_intercept=-535"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -248x + 772y = -95728. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=386, y_intercept=-124"
result = "x_intercept=386, y_intercept=-124"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2160x - 2877y = 2071440. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-959, y_intercept=-720"
result = "x_intercept=-959, y_intercept=-720"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -690x + 1050y = -241500. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=350, y_intercept=-230"
result = "x_intercept=350, y_intercept=-230"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -584x + 1622y = -473624. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=811, y_intercept=-292"
result = "x_intercept=811, y_intercept=-292"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 873x + 2754y = 801414. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=918, y_intercept=291"
result = "x_intercept=918, y_intercept=291"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1600x + 1060y = 424000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=265, y_intercept=400"
result = "x_intercept=265, y_intercept=400"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1156x - 3584y = -1035776. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-896, y_intercept=289"
result = "x_intercept=-896, y_intercept=289"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3604x + 2388y = 2151588. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=597, y_intercept=901"
result = "x_intercept=597, y_intercept=901"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1122x + 440y = -246840. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=220, y_intercept=-561"
result = "x_intercept=220, y_intercept=-561"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1996x - 734y = 732532. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-367, y_intercept=-998"
result = "x_intercept=-367, y_intercept=-998"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1238x + 580y = -359020. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=290, y_intercept=-619"
result = "x_intercept=290, y_intercept=-619"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1522x + 810y = 616410. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=405, y_intercept=761"
result = "x_intercept=405, y_intercept=761"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1269x - 2556y = 1081188. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-852, y_intercept=-423"
result = "x_intercept=-852, y_intercept=-423"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2577x - 660y = 566940. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-220, y_intercept=-859"
result = "x_intercept=-220, y_intercept=-859"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1634x - 1356y = 1107852. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-678, y_intercept=-817"
result = "x_intercept=-678, y_intercept=-817"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3920x - 400y = -392000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-100, y_intercept=980"
result = "x_intercept=-100, y_intercept=980"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 572x - 2736y = -391248. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-684, y_intercept=143"
result = "x_intercept=-684, y_intercept=143"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 402x + 828y = 110952. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=276, y_intercept=134"
result = "x_intercept=276, y_intercept=134"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -640x + 480y = -76800. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=120, y_intercept=-160"
result = "x_intercept=120, y_intercept=-160"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1974x + 1632y = -1610784. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=816, y_intercept=-987"
result = "x_intercept=816, y_intercept=-987"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -800x + 1230y = -492000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=615, y_intercept=-400"
result = "x_intercept=615, y_intercept=-400"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -993x - 2349y = 777519. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-783, y_intercept=-331"
result = "x_intercept=-783, y_intercept=-331"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1380x + 2004y = -691380. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=501, y_intercept=-345"
result = "x_intercept=501, y_intercept=-345"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3876x + 1308y = 1267452. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=327, y_intercept=969"
result = "x_intercept=327, y_intercept=969"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1134x - 975y = -368550. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-325, y_intercept=378"
result = "x_intercept=-325, y_intercept=378"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1650x + 2115y = -1163250. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=705, y_intercept=-550"
result = "x_intercept=705, y_intercept=-550"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1382x - 1888y = 1304608. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-944, y_intercept=-691"
result = "x_intercept=-944, y_intercept=-691"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1008x + 2904y = 975744. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=968, y_intercept=336"
result = "x_intercept=968, y_intercept=336"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 928x + 904y = 209728. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=226, y_intercept=232"
result = "x_intercept=226, y_intercept=232"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1180x + 1330y = -784700. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=665, y_intercept=-590"
result = "x_intercept=665, y_intercept=-590"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -800x - 1434y = 573600. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-717, y_intercept=-400"
result = "x_intercept=-717, y_intercept=-400"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1018x + 1570y = 799130. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=785, y_intercept=509"
result = "x_intercept=785, y_intercept=509"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -951x + 2793y = -885381. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=931, y_intercept=-317"
result = "x_intercept=931, y_intercept=-317"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1912x - 2588y = -1237064. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-647, y_intercept=478"
result = "x_intercept=-647, y_intercept=478"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2292x - 472y = -270456. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-118, y_intercept=573"
result = "x_intercept=-118, y_intercept=573"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 921x + 429y = 131703. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=143, y_intercept=307"
result = "x_intercept=143, y_intercept=307"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 246x + 574y = 70602. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=287, y_intercept=123"
result = "x_intercept=287, y_intercept=123"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2360x + 3920y = -2312800. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=980, y_intercept=-590"
result = "x_intercept=980, y_intercept=-590"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1972x - 918y = 905148. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-459, y_intercept=-986"
result = "x_intercept=-459, y_intercept=-986"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1892x + 1210y = 1144660. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=605, y_intercept=946"
result = "x_intercept=605, y_intercept=946"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1044x - 1509y = 525132. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-503, y_intercept=-348"
result = "x_intercept=-503, y_intercept=-348"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1470x + 1396y = 1026060. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=698, y_intercept=735"
result = "x_intercept=698, y_intercept=735"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -3136x + 2972y = -2330048. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=743, y_intercept=-784"
result = "x_intercept=743, y_intercept=-784"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 828x - 1958y = -810612. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-979, y_intercept=414"
result = "x_intercept=-979, y_intercept=414"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1136x - 1630y = 925840. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-815, y_intercept=-568"
result = "x_intercept=-815, y_intercept=-568"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2118x - 2193y = 1548258. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-731, y_intercept=-706"
result = "x_intercept=-731, y_intercept=-706"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2721x - 1596y = -1447572. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-532, y_intercept=907"
result = "x_intercept=-532, y_intercept=907"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -542x - 1418y = 384278. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-709, y_intercept=-271"
result = "x_intercept=-709, y_intercept=-271"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -606x - 1840y = 557520. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-920, y_intercept=-303"
result = "x_intercept=-920, y_intercept=-303"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2520x - 1904y = -1199520. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-476, y_intercept=630"
result = "x_intercept=-476, y_intercept=630"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1120x + 1976y = -1106560. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=988, y_intercept=-560"
result = "x_intercept=988, y_intercept=-560"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1110x + 1498y = -831390. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=749, y_intercept=-555"
result = "x_intercept=749, y_intercept=-555"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1602x + 1242y = 663228. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=414, y_intercept=534"
result = "x_intercept=414, y_intercept=534"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1184x - 1372y = -406112. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-343, y_intercept=296"
result = "x_intercept=-343, y_intercept=296"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1660x + 1198y = 994340. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=599, y_intercept=830"
result = "x_intercept=599, y_intercept=830"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1764x + 608y = -268128. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=152, y_intercept=-441"
result = "x_intercept=152, y_intercept=-441"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -600x - 1224y = 244800. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-408, y_intercept=-200"
result = "x_intercept=-408, y_intercept=-200"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2632x - 2408y = -1584464. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-602, y_intercept=658"
result = "x_intercept=-602, y_intercept=658"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2385x - 1770y = -1407150. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-590, y_intercept=795"
result = "x_intercept=-590, y_intercept=795"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -3464x - 1668y = 1444488. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-417, y_intercept=-866"
result = "x_intercept=-417, y_intercept=-866"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2274x - 837y = -634446. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-279, y_intercept=758"
result = "x_intercept=-279, y_intercept=758"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1704x - 1916y = 816216. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-479, y_intercept=-426"
result = "x_intercept=-479, y_intercept=-426"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -974x + 1312y = -638944. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=656, y_intercept=-487"
result = "x_intercept=656, y_intercept=-487"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1580x - 3268y = 1290860. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-817, y_intercept=-395"
result = "x_intercept=-817, y_intercept=-395"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -600x - 2880y = 432000. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-720, y_intercept=-150"
result = "x_intercept=-720, y_intercept=-150"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1320x - 1370y = 904200. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-685, y_intercept=-660"
result = "x_intercept=-685, y_intercept=-660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -519x - 321y = 55533. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-107, y_intercept=-173"
result = "x_intercept=-107, y_intercept=-173"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -1858x + 1312y = -1218848. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=656, y_intercept=-929"
result = "x_intercept=656, y_intercept=-929"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 2876x - 3784y = -2720696. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-946, y_intercept=719"
result = "x_intercept=-946, y_intercept=719"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1842x - 1812y = -1668852. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-906, y_intercept=921"
result = "x_intercept=-906, y_intercept=921"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 3840x + 2476y = 2376960. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=619, y_intercept=960"
result = "x_intercept=619, y_intercept=960"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2367x - 1464y = 1155096. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-488, y_intercept=-789"
result = "x_intercept=-488, y_intercept=-789"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -328x - 1188y = 194832. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=-594, y_intercept=-164"
result = "x_intercept=-594, y_intercept=-164"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation -2600x + 3232y = -2100800. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=808, y_intercept=-650"
result = "x_intercept=808, y_intercept=-650"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 414x + 1456y = 301392. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=728, y_intercept=207"
result = "x_intercept=728, y_intercept=207"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
A line is given by the equation 1544x + 3232y = 1247552. Find its x-intercept and y-intercept.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "x_intercept=808, y_intercept=386"
result = "x_intercept=808, y_intercept=386"