[User]
Let h(k) be the third derivative of -9163*k**8/8 - 150493*k**7/45 - 2813083*k**6/720 - 849121*k**5/360 - 784*k**4 - 140*k**3 - k**2 - 6*k - 515. For the polynomial h(m), find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}

dataset: MATH


[User]
Let w(q) be the second derivative of -344760*q**7/49 + 5846269*q**6/105 - 3906617*q**5/35 + 1569997*q**4/42 + 611468*q**3/7 - 426816*q**2/7 + 140435*q. Let w(x) = 0. Find the second largest root in the form of n/m where n and m are coprime to each other. Return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let n(x) be the second derivative of -3200*x**9/189 - 144*x**8/7 + 444*x**7/35 + 231*x**6/10 - 81*x**5/20 - 81*x**4/4 + 119*x**3/6 + 2*x**2 - 172*x. Let p(s) be the second derivative of n(s). For p(h) = 0, find the second largest root in simplified form n/m and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let -103675*r**5 - 108420734/7*r**3 - 41570775/7*r**4 - 45237216/7*r + 290108576/7*r**2 - 6310400 = 0. Find the second largest root in the form of n/m where n and m are coprime to each other. Return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let q = 255143212/56421 + -155029/18807. Suppose -135 - q*v**5 + 3250*v**3 + 750*v**2 - 585*v - 3125/3*v**4 = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let t be (3206 - -3)/(-4*(-9)/432). For the polynomial 1576 - 158321*o**4 + 4904 + 278448*o**3 - 61452*o**2 - t*o**5 - 67092*o**5 - 4696*o - 19820*o + 29601*o**4, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let m(n) be the third derivative of -3185*n**8/24 + 196469*n**7/240 - 326963*n**6/240 + 17719*n**5/160 + 21021*n**4/16 - 1170*n**3 + 9713*n**2 - 6. Express the second largest root of m(l) = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let w(h) be the second derivative of -1568*h**7 - 10388*h**6/3 + 3402*h**5 + 13785*h**4/2 - 2754*h**3 - 3240*h**2 + 5195*h - 1. Find the value of n + m, where n/m is the second largest root of w(u) = 0 in its simplest form.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let p(r) be the third derivative of 1190*r**7 + 29467/40*r**6 - 492*r**2 + 0*r + 0 - 396*r**4 - 216*r**3 + 2275/4*r**8 - 2697/20*r**5. For the polynomial p(j), find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let h = 1892178 - 5670284/3. Suppose -h*k**4 - 270 + 1530*k + 250250/9*k**5 - 14260*k**3 + 1500*k**2 = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let i(v) be the third derivative of 2475*v**8/8 - 101189*v**7/14 + 51425*v**6/4 + 7159317*v**5/25 + 5771403*v**4/10 + 887733*v**3/2 + 2477*v**2 + 10*v. Find the value of n + m, where n/m is the second largest root of i(r) = 0 in its simplest form.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let n(t) be the first derivative of 20000*t**7/9 + 131500*t**6/27 + 3090*t**5 - 145*t**4/6 - 810*t**3 - 360*t**2 - 568*t - 717. Let w(k) be the first derivative of n(k). Suppose w(r) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let q(u) be the third derivative of 24475/64*u**4 + 0*u + 13*u**2 - 79717/240*u**5 + 18821/960*u**6 - 16 - 825/4*u**3 + 4565/28*u**7 - 2475/32*u**8. Express the second largest root of q(o) = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Suppose 41551*s + 41650*s = 83516*s - 1260. If -460768/3*f**5 + 909634/15*f**3 + 11484*f**2 - 152372/15*f**s - 18414/5*f - 792 = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let i(y) be the second derivative of -231*y**8/2 + 3647*y**7/30 + 1101*y**6/8 - 12317*y**5/60 - 185*y**4/8 + 150*y**3 + 50*y**2 + 418*y. Let a(k) be the first derivative of i(k). If a(m) = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let p(w) be the first derivative of -149435*w**6/3 + 1485902*w**5/5 - 193779*w**4/2 - 122538*w**3 + 20574*w**2 + 22032*w + 11080. Suppose p(c) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Express the second largest root of 1642840/11*j**4 - 148560/11*j**2 + 7308/11*j + 2160/11 - 269732/11*j**3 + 197600*j**5 = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let p(r) be the first derivative of -728*r**7/3 - 896*r**6/75 + 2631*r**5/25 - 3*r**4 - 72*r**3/5 + 372*r - 376. Let v(h) be the first derivative of p(h). If v(y) = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Suppose 3921135*o**2 + 1472083*o + 96097*o**4 - 610099*o**3 + 228606 - 450313*o + 3469218*o**4 - 133566 + 589050*o**5 + 6864129*o**3 = 0. Express the second largest root as n/m where n and m are coprime and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let v(w) be the third derivative of -9295*w**8/7 + 307918*w**7/105 - 63181*w**6/30 + 647*w**5/5 + 1227*w**4/2 - 360*w**3 + 2*w**2 - 54*w - 116. For the polynomial v(j), find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the polynomial -338568*m - 1082733*m**3 - 1323 - 556623*m**5 - 70377*m**5 + 1408988*m**2 + 2230900*m**4 - 1584867*m**3 + 31563, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the polynomial 481389/14*l**2 + 734589/14*l - 870549/14*l**3 + 28215/2 - 69621*l**4 - 7560*l**5, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Suppose 5*c = -5*v + 19285, -2*c - 3*v + 4912 + 2798 = 0. Express the second largest root of 173*k**4 - 6119*k**2 + 9906*k**4 + 1620 - 89100*k**5 - 16687*k**2 + 479*k**4 + 60567*k**3 - c*k + 10682*k**4 = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the polynomial -191175374 + 14738*p**2 + 62560*p**5 - 62715*p**3 - 20645*p**3 + 11434*p**2 + 191177534 - 92764*p**4 + 21168*p, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For -1537536/5*i**5 + 8505 + 375921/5*i**2 - 62370*i + 1206072/5*i**3 - 1549632/5*i**4 = 0, find the second largest root in simplified form n/m and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let l(b) be the third derivative of -55*b**9/14 + 2297*b**8/7280 + 2557*b**7/280 - 2681*b**6/780 - 54*b**5/5 + 180*b**4/13 - 391*b**3/6 + 385*b**2. Let w(f) be the first derivative of l(f). If w(y) = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let -174125/9*y**4 + 2772 + 13825/3*y**3 + 25305*y**2 - 30625/3*y**5 + 15288*y = 0. Calculate the second largest root as n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let t(v) be the first derivative of -33488/51*v**3 + 7960/17*v**5 + 108 + 5040/17*v + 3135/17*v**4 + 846/17*v**2 - 4000/17*v**6. Suppose t(r) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value of n + m, where n/m is the second largest root of -1736541/8*m**3 + 871965/4*m**4 - 48510 + 512169/2*m - 473511/2*m**2 + 419175/8*m**5 = 0 in its simplest form.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Suppose 7*p + 2*g - 84520 = 0, -5*p + 5*g + 80163 = 19978. Find the value of n + m, where n/m is the second largest root of -243/14*z + p*z**4 - 25731/14*z**2 - 10746/7*z**3 + 18480*z**5 + 486/7 = 0 in its simplest form.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let m(d) = 399281*d**5 + 976489*d**4 + 424880*d**3 - 267895*d**2 - 56573*d + 20831. Let g(r) = 133094*r**5 + 325496*r**4 + 141626*r**3 - 89298*r**2 - 18858*r + 6942. Let u(x) = -19*g(x) + 6*m(x). For u(c) = 0, find the second largest root in simplified form n/m and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let o(y) = 58103*y - 1754. Let i be o(6). If -3456 - i*m**4 + 8311*m + 39390*m**2 - 138214*m**3 - 475*m + 6201*m + 3819*m - 194040*m**5 = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let t(u) be the third derivative of 5525*u**8/4 + 1762*u**7/21 - 166171*u**6/24 - 2981*u**5/6 + 75495*u**4/8 - 7350*u**3 + 65709*u**2. Suppose t(o) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let i(o) be the third derivative of 19665*o**8/28 + 3466413*o**7/490 + 325036*o**6/35 - 20301*o**5/20 - 81441*o**4/28 - 7020*o**3/7 + o**2 - 3*o + 18314. Suppose i(l) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let m(i) = -1045430*i**5 + 1994911*i**4 + 2621681*i**3 + 406981*i**2 - 189240*i - 41293. Let v(x) = -174238*x**5 + 332485*x**4 + 436947*x**3 + 67830*x**2 - 31540*x - 6882. Let u(n) = 6*m(n) - 34*v(n). Let z(a) = -116163*a**5 + 221657*a**4 + 291296*a**3 + 45222*a**2 - 21027*a - 4590. Let c(g) = 3*u(g) - 8*z(g). For c(p) = 0, find the second largest root in simplified form n/m and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let p(w) be the first derivative of -40964*w**6/3 + 38563*w**5/5 + 9243*w**4 - 6333*w**3 - 972*w**2 + 1296*w + 2066. Express the second largest root of p(n) = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let y = -106330172/7 - -15196670. Let -y*t**2 - 1296*t + 8169*t**4 + 59112/7*t**3 - 7560*t**5 + 945 = 0. Find the second largest root in the form of n/m where n and m are coprime to each other. Return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let r(f) = 347764*f**5 - 419290*f**4 + 77783*f**3 + 66057*f**2 - 29108*f + 3242. Let z(m) = -m**5 - m**4 - 4*m**2. Let s(c) = r(c) + 6*z(c). Let l(o) = 695515*o**5 - 838591*o**4 + 155567*o**3 + 132066*o**2 - 58217*o + 6485. Let x(h) = 2*l(h) - 5*s(h). For the polynomial x(p), find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let m(k) be the second derivative of -9219*k**3 - 800*k**7 + 0 + 19700/3*k**6 - 3996*k**2 - 1070*k + 19766/5*k**5 - 15083/2*k**4. Express the second largest root of m(g) = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let c(t) = 3026*t - 41. Let b be c(2). For the polynomial -30341*w**5 + 55965*w**4 + 56022*w**3 - 6615 - 33490*w - 10084*w**5 - 45606*w**2 - b*w, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
If 319593*p**5 + 316887*p**5 + 694 - 969078*p**4 + 364809*p**3 + 24768*p**2 - 22059*p + 644 - 399 + 52 + 629 = 0, what is n + m where n/m is the second largest root in simplified form?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let i(y) be the first derivative of -6 - 648*y - 2619*y**2 + 29667/2*y**4 + 74536/3*y**6 + 181742/5*y**5 - 1602*y**3. For i(p) = 0, find the second largest root in simplified form n/m and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let o be 17488/(-126788)*522/(-24). For the polynomial 3483/13*b - 50496/13*b**o - 23520*b**5 - 1620/13 + 50085/13*b**2 - 375228/13*b**4, find the second largest root in the form n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let m(n) = -13*n**2 + 1227*n + 3302. Let f be m(97). Let 94593/13*l**3 - 15525/13*l + 103488/13*l**5 - 6648/13*l**2 - 2700/13 + 187152/13*l**f = 0. Calculate the second largest root as n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Suppose 15210*f**2 - 103945/4*f**3 - 3375/2 + 256025/8*f**5 - 50085/2*f**4 + 34425/8*f = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let u(y) be the first derivative of -1210*y**9/21 + 59653*y**8/420 - 36761*y**7/420 - 3559*y**6/60 + 573*y**5/5 - 72*y**4 - 258*y**3 + 1974. Let c(v) be the third derivative of u(v). Suppose c(s) = 0. If the second largest root can be written as n/m where n and m are coprime, what is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let h(d) = 16800*d**6 + 21210*d**5 - 2853*d**4 - 11150*d**3 - 818*d**2 + 2698*d - 1886. Let a(l) = 50400*l**6 + 63631*l**5 - 8560*l**4 - 33451*l**3 - 2458*l**2 + 8093*l - 5658. Let r(p) = 2*a(p) - 7*h(p). Let q(k) be the first derivative of r(k). Suppose q(b) = 0. Express the second largest root as n/m where n and m are coprime and return n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let -566433/10*s - 4316643/10*s**3 + 4617 + 1225854/5*s**2 + 38808*s**5 + 1168839/5*s**4 = 0. Calculate the second largest root as n/m where n and m are coprime integers. What is n + m?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let p(a) = 168198*a**5 + 123741*a**4 - 19923*a**3 - 38259*a**2 - 10950*a - 972. Let c be 198/81 - (-452)/36. Let r(h) = -2*h**5 - 2*h**4 - 2*h**3 + h. Let m(q) = c*r(q) + p(q). Express the second largest root of m(d) = 0 as n/m where n and m are coprime and calculate n + m.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Let -186618/11*r**3 - 89241/11*r**2 + 2628*r + 17010*r**5 + 89721/11*r**4 + 12960/11 = 0. Find the second largest root in the form of n/m where n and m are coprime to each other. Return n + m.

Present the answer in LaTex format: \boxed{Your answer}