messages listlengths 1 1 | ground_truth stringlengths 3 11 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "What is the second-largest prime factor of 564682175042572889?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1103 | MATH |
[
{
"content": "What is the second-largest prime factor of 134822468598960830033263?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1599598463 | MATH |
[
{
"content": "Suppose -1462605467449 = -65*u - 1183*u - 108223179385. What is the second-largest prime factor of u?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1129 | MATH |
[
{
"content": "Let u = -559022288 - -2036300867. Find the second-largest prime factor of u.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1627 | MATH |
[
{
"content": "Suppose -36*d - 8*h - 90391127363 = -37*d, -7*d = -26*d + 13*d - 5*h + 542346764761. Find the second-largest prime factor of d.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1709 | MATH |
[
{
"content": "What is the second-largest prime factor of 21404068073470/3145 - ((-549)/(-255))/(936/(-1560))?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4691 | MATH |
[
{
"content": "Let m = 334544053 - -605895880. What is the second-largest prime factor of m?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1777 | MATH |
[
{
"content": "Find the second-largest prime factor of 2103288106880383402887.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1685881 | MATH |
[
{
"content": "Suppose -2182*m + 115175399419215 = 7065*m + 27392*m. Find the second-largest prime factor of m.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20441 | MATH |
[
{
"content": "Suppose -50514597781139747 - 66344677824908466 = -253085*a + 71259901095691217. What is the second-largest prime factor of a?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39607 | MATH |
[
{
"content": "Let c = -1015135291 + 3845444663. Find the second-largest prime factor of c.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2477 | MATH |
[
{
"content": "What is the second-largest prime factor of 28339470082809890801?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14939 | MATH |
[
{
"content": "What is the second-largest prime factor of ((90/(-75))/(39/1590790))/(8399810562/(-17796207) + 472)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3191 | MATH |
[
{
"content": "Find the second-largest prime factor of 1542505330333354590848.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3067 | MATH |
[
{
"content": "Let q = -194325939137 - -1664082040955. What is the second-largest prime factor of q?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3061 | MATH |
[
{
"content": "What is the second-largest prime factor of 1255730018711567359767?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 258631 | MATH |
[
{
"content": "Suppose -3403*x + 7919119428273 = 871*x + 1547*x - 6354*x + 5816*x. Find the second-largest prime factor of x.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1861 | MATH |
[
{
"content": "Find the second-largest prime factor of 95843517546498543776781.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149561 | MATH |
[
{
"content": "Suppose 11*t + 3*x = 63003398878, -169348*t = -169302*t + 4*x - 263468759064. Find the second-largest prime factor of t.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3793 | MATH |
[
{
"content": "What is the second-largest prime factor of (-1 - (2 + -2)*(4 + (-21)/6))*(-950916738914)/2 + (-481719767 - -481719756)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4373 | MATH |
[
{
"content": "Suppose 81853*r + 209896*r + 529575*r = -1167161*r + 56908514398902920. Find the second-largest prime factor of r.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 881 | MATH |
[
{
"content": "Let x = -5500172037 - -10803892278. Find the second-largest prime factor of x.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4273 | MATH |
[
{
"content": "What is the second-largest prime factor of 1358229438230693535327?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27059371 | MATH |
[
{
"content": "Suppose -1998434*m - 1009910748928903 + 661150425390509 + 6845215935344373 = -636526*m - 6629395511808605. Find the second-largest prime factor of m.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1123 | MATH |
[
{
"content": "Let k = -146204611133 - -237565931864. What is the second-largest prime factor of k?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1129 | MATH |
[
{
"content": "What is the second-largest prime factor of 450472137798815603472?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43851287 | MATH |
[
{
"content": "Find the second-largest prime factor of (5040/609)/(-4) + ((-4698427992860)/(-203) - 19) + -21 - (-15 + 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4481 | MATH |
[
{
"content": "Find the second-largest prime factor of 6612512741273908315709.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96893 | MATH |
[
{
"content": "Suppose 303*m = -5692808610 + 795949563819. What is the second-largest prime factor of m?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50581 | MATH |
[
{
"content": "What is the second-largest prime factor of 18295582745286128472914?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46166621 | MATH |
[
{
"content": "Find the second-largest prime factor of (((-1158)/27985)/(1014/(-67753585341)))/((-6)/(-32530)).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3253 | MATH |
[
{
"content": "Let u = -25811651859 - -38182531963. What is the second-largest prime factor of u?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1019 | MATH |
[
{
"content": "Let z = -66795354750 + 134191067405. Find the second-largest prime factor of z.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3733 | MATH |
[
{
"content": "Let s = 5713184494 - 4163212106. Find the second-largest prime factor of s.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2969 | MATH |
[
{
"content": "Find the second-largest prime factor of 21675150543299191410581.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2889221 | MATH |
[
{
"content": "Find the second-largest prime factor of 716909316086719014/27520034 + (-252)/42882.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 991 | MATH |
[
{
"content": "Suppose -12503*t + 45972428259648 + 727262558155388 = -368676002301465. What is the second-largest prime factor of t?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2441 | MATH |
[
{
"content": "Suppose -3*q = 56*p + 4*q - 2*q - 4803789071422 - 2273491465246, -86*p + 3*q - 5*q + 10868680822646 = -q. Find the second-largest prime factor of p.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 248879 | MATH |
[
{
"content": "What is the second-largest prime factor of 762464961744127754304?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 98207 | MATH |
[
{
"content": "What is the second-largest prime factor of 128116207843360576282?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1478723 | MATH |
[
{
"content": "Let s = 380862642 - -161159761. What is the second-largest prime factor of s?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1039 | MATH |
[
{
"content": "Let y = 37593713316 - -18462532442. What is the second-largest prime factor of y?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 859 | MATH |
[
{
"content": "What is the second-largest prime factor of 120867704887891209074?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11813 | MATH |
[
{
"content": "What is the second-largest prime factor of 4462841333484894882743761?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 951613139 | MATH |
[
{
"content": "Find the second-largest prime factor of 1960398670865072773968.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13738303 | MATH |
[
{
"content": "Find the second-largest prime factor of -425 + 43174275/101565 - (-525621735208)/222.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1051 | MATH |
[
{
"content": "What is the second-largest prime factor of 3703876950132756330994738?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 378493 | MATH |
[
{
"content": "Find the second-largest prime factor of (-9294)/28*((-95192)/652 + -3059876) - (-28 + 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2017 | MATH |
[
{
"content": "What is the second-largest prime factor of 134091236703137419057758?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2498737 | MATH |
[
{
"content": "Let t = 1680969529159 + -893730508970. What is the second-largest prime factor of t?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2447 | MATH |
[
{
"content": "Let a = -139965876920 - -265610752879. Find the second-largest prime factor of a.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 43793 | MATH |
[
{
"content": "Find the second-largest prime factor of (-80054)/(-86212) + 10/42*(-1331497698075)/(-6) + 0.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1451 | MATH |
[
{
"content": "Find the second-largest prime factor of (75251142/54)/(8*(-11)/(-792))*(-3136)/78792*-498748.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1861 | MATH |
[
{
"content": "Find the second-largest prime factor of 986764590769721374529777.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 224813 | MATH |
[
{
"content": "What is the second-largest prime factor of 33599699932544505937008?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38361377 | MATH |
[
{
"content": "Suppose 17465*s = 46185*s + 28281*s - 51927201223548. Find the second-largest prime factor of s.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6701 | MATH |
[
{
"content": "What is the second-largest prime factor of 7722752476956408370925438?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1791731 | MATH |
[
{
"content": "Find the second-largest prime factor of 1109235984868753114931.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9677 | MATH |
[
{
"content": "What is the second-largest prime factor of 5002281919082169776816?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1109 | MATH |
[
{
"content": "Find the second-largest prime factor of 135481673664736268736231.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1094449 | MATH |
[
{
"content": "What is the second-largest prime factor of 1456285878113562754057?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1531 | MATH |
[
{
"content": "Suppose 10*p - 6*p + 3*p + 3*p + 0*q + 3*q - 87287315259 = 6*p, -20*q = 3820. Find the second-largest prime factor of p.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 947 | MATH |
[
{
"content": "Find the second-largest prime factor of 429947942050885726.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 364523 | MATH |
[
{
"content": "What is the second-largest prime factor of 39324986121435736295632?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 354037 | MATH |
[
{
"content": "Suppose 173541*h - 9123841529261789 = 25845019522920805. What is the second-largest prime factor of h?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11261 | MATH |
[
{
"content": "Suppose 0 = -22085314*v - 1369433008556067442 - 1793084760861270985 - 1010860413260057136 + 886323077842372385. Find the second-largest prime factor of v.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9461 | MATH |
[
{
"content": "Suppose 4043*p - 14528033755965 - 13189678291853 = 0. What is the second-largest prime factor of p?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 997 | MATH |
[
{
"content": "Find the second-largest prime factor of 140068604170336290418.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 362707 | MATH |
[
{
"content": "What is the second-largest prime factor of 11055594163159736682?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24049 | MATH |
[
{
"content": "Find the second-largest prime factor of 32601844401099206167.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6779 | MATH |
[
{
"content": "Suppose -4*u + 37917966659 = 6*k - 2973686355, -5*u + 51114565562 = -k. Find the second-largest prime factor of u.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 809 | MATH |
[
{
"content": "Find the second-largest prime factor of 502550486709360515258.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48859 | MATH |
[
{
"content": "What is the second-largest prime factor of 448865889421272609360?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 226621 | MATH |
[
{
"content": "Find the second-largest prime factor of 3669166651380322249807.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12239 | MATH |
[
{
"content": "Suppose 1186547*t + 1318522*t + 223282*t - 223065707793768708 = -2171353*t + 189448518086709388. Find the second-largest prime factor of t.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1543 | MATH |
[
{
"content": "What is the second-largest prime factor of (-103)/((-309)/3266759466) + (12/112 - (-14562)/504)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12953 | MATH |
[
{
"content": "Suppose h - 3*g = 1431779003, -8501139250 = -47*h - 22*g + 13*g + 17*g + 58792476684. What is the second-largest prime factor of h?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1721 | MATH |
[
{
"content": "Let o = 2247599470675 + -1268477543136. Find the second-largest prime factor of o.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3923 | MATH |
[
{
"content": "Suppose 6*s - 138 = 5*s - 0*s - 47 + 129, 8*l - 11*s = -20*l + 459015842756. What is the second-largest prime factor of l?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1039 | MATH |
[
{
"content": "What is the second-largest prime factor of 100948975559983710559?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 933923 | MATH |
[
{
"content": "Suppose 55936347216 = 4*r + v, -88*r - 455085535697 = v - 1685685173189. Find the second-largest prime factor of r.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11131 | MATH |
[
{
"content": "What is the second-largest prime factor of 38342370725865385088233?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 447791 | MATH |
[
{
"content": "Let s = -39916882531 - -77486321241. Find the second-largest prime factor of s.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1367 | MATH |
[
{
"content": "Suppose -1543036268561 - 37881764386 = -3*p + 53*d, -2*d - 526972683477 = -p. What is the second-largest prime factor of p?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16729 | MATH |
[
{
"content": "Find the second-largest prime factor of ((18808 - 18918)*((-35)/(-22))/(-7))/1*927716677.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24223 | MATH |
[
{
"content": "Find the second-largest prime factor of (-3911696461652573820)/(-71837547) - (-60)/(-1588).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5683 | MATH |
[
{
"content": "Suppose 78382*y + 134296*y - 177352895751402 + 30131813702562 = 37987*y + 234*y + 61597571071181. Find the second-largest prime factor of y.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1481 | MATH |
[
{
"content": "Suppose -236*u + 1560892553179 = 2*z - 241*u, -7*z + 0*z + 2232937605999 = 3*u - 2212508460463 - 1017677876163. What is the second-largest prime factor of z?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 178103 | MATH |
[
{
"content": "Find the second-largest prime factor of 759353894082514197304.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17099 | MATH |
[
{
"content": "Find the second-largest prime factor of 34051466730772325335.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 468191 | MATH |
[
{
"content": "Find the second-largest prime factor of 4727429210846737461628.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10775003 | MATH |
[
{
"content": "Find the second-largest prime factor of 2707372531101682076094.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 71537 | MATH |
[
{
"content": "Find the second-largest prime factor of 1438046374601761753401.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 343771 | MATH |
[
{
"content": "Find the second-largest prime factor of 179789458827255045918537.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 37174339 | MATH |
[
{
"content": "Find the second-largest prime factor of 31404467703603474724315.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 113233 | MATH |
[
{
"content": "Suppose -2*b - a + 3*a = -8378399860, -47*a + 5*a + 23370498613 = 6*b - 41*a - 1764701345. What is the second-largest prime factor of b?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 983 | MATH |
[
{
"content": "Find the second-largest prime factor of 67746047694234031603.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 105389 | MATH |
[
{
"content": "Find the second-largest prime factor of 442200322346032020356839.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6353 | MATH |
[
{
"content": "Suppose 3*u + 20*q - 1258606842 - 2048809521 = 202720660 + 163874372, 3*u - 3674011521 = q. Find the second-largest prime factor of u.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2221 | MATH |
[
{
"content": "Suppose 3*s + 10*v = 167143681171, 4*s - 3278*v + 1654*v = -1630*v + 222858240674. What is the second-largest prime factor of s?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1637 | MATH |
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