 be the third derivative of 0 + 1/5*d**5 - 3/2*d**3 + 2*d + 1/20*d**6 - 1/70*d**7 - 1/4*d**4 + 6*d**2. Factor l(j).
-3*(j - 3)*(j - 1)*(j + 1)**2
Let q(p) be the second derivative of -p**7/168 + p**6/24 - p**5/12 - 91*p**3/6 - p + 13. Let r(b) be the second derivative of q(b). Find l such that r(l) = 0.
0, 1, 2
Let o(h) = -14*h**3 + 94*h**2 - 1176*h + 4105. Let r(v) = -5*v**3 + 31*v**2 - 392*v + 1368. Let j(x) = 4*o(x) - 11*r(x). Factor j(w).
-(w - 14)**2*(w - 7)
Let j(q) = 53*q**3 - 940*q**2 + 3654*q - 4029. Let x(i) = 317*i**3 - 5640*i**2 + 21922*i - 24175. Let o(h) = 34*j(h) - 6*x(h). Solve o(k) = 0.
12/5, 14
Let g(q) be the first derivative of 0*q - 193 - 1/45*q**6 + 2/45*q**3 - 2/75*q**5 + 13/30*q**4 - 4/5*q**2. Determine r, given that g(r) = 0.
-4, -1, 0, 1, 3
Let d(v) be the third derivative of -v**7/735 - 101*v**6/420 - 197*v**5/210 + 101*v**4/84 + 66*v**3/7 - 301*v**2 + 2. Suppose d(b) = 0. Calculate b.
-99, -2, -1, 1
Let m be (-8)/(-132)*-3 + (14570/517 - 26). Determine t so that 0 - 33/7*t**m - 36/7*t + 75/7*t**3 - 6/7*t**4 = 0.
-1/2, 0, 1, 12
Let u(n) be the third derivative of -3*n**3 - n**2 + 0*n - 36 - 1/90*n**5 + 1/3*n**4. Factor u(z).
-2*(z - 9)*(z - 3)/3
Suppose 5*a = -4*y + 7*y + 565, -4*a + 4*y + 460 = 0. Factor 27*f**2 + 81*f - 76*f**2 + a + 25*f**2 + 31*f + 26*f**2.
2*(f + 1)*(f + 55)
Let i(k) be the first derivative of -49 + 0*k**4 - 8/25*k**5 + 12/5*k + 1/15*k**6 - 17/5*k**2 + 28/15*k**3. Let i(h) = 0. What is h?
-2, 1, 3
Factor -38/7*v - 4*v**2 + 60 - 2/7*v**3.
-2*(v - 3)*(v + 7)*(v + 10)/7
Let n(p) be the third derivative of -1/30*p**5 - 3*p**2 - 1/90*p**6 + 0 + 0*p**4 - 2*p + 0*p**3 - 1/945*p**7. Find u, given that n(u) = 0.
-3, 0
Solve 0 - 267126/7*q**2 - 1272/7*q**4 - 3/7*q**5 + 0*q - 136095/7*q**3 = 0.
-211, -2, 0
Find k such that 23/6*k**2 - 206/3*k - 6 = 0.
-2/23, 18
Let j(l) = -700*l**2 + 25915*l. Let y(w) = 31*w**2 - 1178*w. Let n(d) = 2*j(d) + 45*y(d). Factor n(a).
-5*a*(a + 236)
Find f such that 38319 + 3812*f + 53645*f**2 + 344*f - 5476*f**3 - 15905*f**2 - 28*f - 38207 = 0.
-2/37, 7
Let m(o) be the third derivative of o**8/4032 - 47*o**7/504 + 2209*o**6/144 + 11*o**5/10 + 33*o**2. Let i(w) be the third derivative of m(w). Factor i(l).
5*(l - 47)**2
Let n(y) be the third derivative of -1/18*y**5 - 1/315*y**7 + 1/45*y**6 - 82*y**2 + 0 + 0*y**3 + 0*y + 1/18*y**4. Factor n(r).
-2*r*(r - 2)*(r - 1)**2/3
Let l = -551/5 + 111. Let j(b) be the second derivative of 7/30*b**6 - l*b**5 + 0 + 1/3*b**4 + 0*b**3 + 0*b**2 + 5*b. Solve j(i) = 0.
0, 2/7, 2
Suppose 0 = 19*v - 63 - 89. What is a in 3*a**4 - 56 + 110 + 3*a**4 - 54 - v*a**3 + 2*a**5 = 0?
-4, 0, 1
Let t be 1968/2112 - -18*(-14)/336. Solve t - 2*f + 36/11*f**2 = 0.
1/9, 1/2
Let v = 19234 - 76935/4. Let d = 24 - 47/2. Factor 0*m + 0 + d*m**2 + v*m**4 + 3/4*m**3.
m**2*(m + 1)*(m + 2)/4
Suppose 2306*v - 3592 = 293*v + 217*v. Let 488/3*a**v - 1/3*a**5 + 64*a - 191/3*a**3 + 8*a**4 - 512/3 = 0. What is a?
-1, 1, 8
Let f(z) = -2*z**4 - z**2 + z + 3. Let p(t) = 11*t**4 - 3*t**3 - 65*t**2 - 5*t - 15. Let g(o) = -15*f(o) - 3*p(o). Factor g(i).
-3*i**2*(i - 10)*(i + 7)
Let a(s) be the third derivative of -s**7/840 + s**6/10 - 143*s**5/60 - 2*s**4 + 96*s**3 - 49*s**2 + 12. Suppose a(z) = 0. What is z?
-2, 2, 24
Let w(l) = 14*l**3 + 106*l**2 + 1286*l + 1149. Let t(b) = 85*b**3 + 630*b**2 + 7715*b + 6895. Let i(c) = -9*t(c) + 55*w(c). What is j in i(j) = 0?
-19, -12, -1
Let n(d) = -6*d - 3. Let q(g) = g**2 - g. Let r(i) = n(i) + q(i). Let y be r(8). Factor 12*a**3 + 170*a**5 + 24*a**4 - 166*a**y + 24*a**3.
4*a**3*(a + 3)**2
Let q(o) be the third derivative of 1/120*o**6 + 0*o**4 + 1/20*o**5 + 0*o + 0 + 25/6*o**3 - 15*o**2. Let m(r) be the first derivative of q(r). Factor m(l).
3*l*(l + 2)
Suppose -b + 59 - 14 = 6*h, -4*b = -5*h - 35. Let o = -416/3 + 140. Factor -2/3*n + 0*n**3 + 2/3*n**h - o*n**2 + 4/3*n**4 + 0.
2*n*(n - 1)*(n + 1)**3/3
Let k(p) be the third derivative of -p**7/3360 + p**6/30 - 6*p**5/5 - 85*p**3/6 - 2*p**2 + 24*p. Let x(y) be the first derivative of k(y). Factor x(v).
-v*(v - 24)**2/4
Let k be (7 + 322/(-42))/((-1)/6). Let o = 10 + -6. Factor 750*q**2 + 3125 - 311*q + k*q**4 + q**o - 2189*q - 100*q**3.
5*(q - 5)**4
Suppose -3218 = -78*g - 2906. Solve m**5 + 22/5*m**4 + 33/5*m**3 + 4/5*m + 0 + g*m**2 = 0 for m.
-2, -1, -2/5, 0
Let u(h) be the first derivative of 5/4*h**4 - 38 - 25*h - 35/3*h**3 + 55/2*h**2. Determine p so that u(p) = 0.
1, 5
Let 6*n**4 + 2 + 115*n**2 - 6 + 4 + 8*n**3 - 121*n**2 - 7*n - n**5 = 0. What is n?
-1, 0, 1, 7
Suppose -149 + 213 = 4*j - y, 5*j + 4 = -4*y. Let -2/7*i**3 + j + 4*i**2 - 110/7*i = 0. Calculate i.
1, 6, 7
Let t(z) be the second derivative of z**5/60 + 7*z**4/36 - 41*z**3/18 + 11*z**2/2 + 1059*z - 3. Factor t(m).
(m - 3)*(m - 1)*(m + 11)/3
Let u = 9718 + -38871/4. Let i(k) be the second derivative of -5/2*k**2 + 5/6*k**3 + 5/12*k**4 - 15*k + 0 - u*k**5. What is c in i(c) = 0?
-1, 1
Let c(p) be the second derivative of p**4/3 + 1664*p**3/3 + 346112*p**2 + p + 883. Factor c(q).
4*(q + 416)**2
Suppose -4*j = -2*n - 82 + 14, -4*j + 48 = 3*n. Let t be 7/9*9*5/j. Factor 0 + t*o**3 + 2/3*o + 3*o**2.
o*(o + 1)*(7*o + 2)/3
Let c = 1707368/3 - 569120. Factor -2/9*h**2 - c - 26/9*h.
-2*(h + 1)*(h + 12)/9
Let z(k) = -955*k**2 - 6895*k + 1130. Let n(i) = -74*i**2 - 531*i + 87. Let j(f) = 40*n(f) - 3*z(f). Determine y, given that j(y) = 0.
-6, 3/19
Factor 1/2*h**2 + 3/2*h - 44.
(h - 8)*(h + 11)/2
Let l = 114 + -109. What is a in 45*a**3 + 9*a**l + 6*a**2 + 10*a**2 + 10*a - 4*a**5 + 19*a**2 + 25*a**4 = 0?
-2, -1, 0
Suppose 4*o**3 - 286 - 104*o**2 - 4*o + 170 + 220 = 0. Calculate o.
-1, 1, 26
Suppose -28/11*v**2 + 10/11*v**3 - 406/11*v - 80/11 = 0. Calculate v.
-5, -1/5, 8
Suppose 2*p - 46 = 2*y + 3*y, -y - 14 = 2*p. Let n(g) = 5*g + 55. Let r be n(y). Factor -33*h**3 + 2 - 2 + 28*h**3 + r*h**2.
-5*h**2*(h - 1)
Solve 2401/6*y + 1/6*y**3 + 49/3*y**2 + 0 = 0 for y.
-49, 0
Find u such that 58*u**2 - 10/3*u**3 + 80 - 668/3*u = 0.
2/5, 5, 12
Let d = 932/16227 - -10/601. Let k(y) be the first derivative of -41 + d*y**3 + 0*y - 1/9*y**2. Solve k(v) = 0 for v.
0, 1
Let x be ((-1 - 3) + 6 + (-35)/168*10)*-232. Find h, given that 2/3*h**4 + x*h**3 + 0 - 20*h**2 + 0*h = 0.
-30, 0, 1
Suppose 7*u - 4510 = 1230. Let a = 6561/8 - u. Factor -3/8*i - a*i**3 - 5/8*i**2 + 9/8.
-(i - 1)*(i + 3)**2/8
Solve 309/7*d**4 - 939/7*d**3 - 3*d**5 - 120/7*d + 129*d**2 - 132/7 = 0.
-2/7, 1, 2, 11
Suppose q = 3*c - 9, -2 = -4*c + q + 10. Factor -615*k - 2*k**c + 311*k + 312*k.
-2*k*(k - 2)*(k + 2)
Suppose 113*o - 3*k = 114*o - 17, 0 = -2*o + 4*k - 16. Factor 1 - 1/3*r**3 + 5/3*r + 1/3*r**o.
-(r - 3)*(r + 1)**2/3
Let x(b) = b**3 - 247*b**2 + 7*b - 1725. Let z be x(247). Find f such that -8*f - 5/2 - 1/2*f**z - 9*f**2 - 4*f**3 = 0.
-5, -1
Let q = -2148 - -2148. Let v(w) be the second derivative of -4/5*w**5 - 1/21*w**7 + 19*w + 7/15*w**6 - 8/3*w**4 + q*w**2 + 0 + 0*w**3. Factor v(a).
-2*a**2*(a - 4)**2*(a + 1)
Let b(p) = 3*p**3 - p**2 + p - 1. Let z(l) = -22*l**3 - 30*l**2 + 18*l + 16. Let f(v) = -18*b(v) - 2*z(v). Factor f(c).
-2*(c - 7)*(c - 1)*(5*c + 1)
Determine w, given that 131/4*w**2 - 1/4*w**4 + 143 + 141*w - 3/2*w**3 = 0.
-13, -2, 11
Let l be 5/5 + -15 + 11. Let n(k) = -k**3 - 178*k**2 + 8*k - 4. Let z(r) = -177*r**2 + 6*r - 3. Let d(q) = l*n(q) + 4*z(q). Factor d(i).
3*i**2*(i - 58)
Let g(v) be the third derivative of -v**5/90 + 355*v**4/9 - 504100*v**3/9 + 2099*v**2. Find w such that g(w) = 0.
710
Let q be (134/4)/(2 - (2 + 1)). Let k = -197/6 - q. Determine w, given that 2/15*w**2 + 0 + k*w**3 - 2/15*w + 2/5*w**4 = 0.
-1, 0, 1/3
Let l(w) be the first derivative of -2*w**2 + 0*w + 54 + w**4 - 2/3*w**3 + 2/5*w**5. Determine f so that l(f) = 0.
-2, -1, 0, 1
Let i(a) = -a**3 - 11*a**2 + 6*a - 3. Let r be i(-12). Let 0*w**3 + r*w**4 - 4*w**3 - 2*w**2 - 71*w**4 = 0. Calculate w.
-1, 0
Let w(j) = -j**3 - 30*j**2 - 222*j - 438. Let p be w(-20). Factor 12/7 + 3/7*a**p + 15/7*a.
3*(a + 1)*(a + 4)/7
Let y(n) be the third derivative of -1042441*n**5/120 + 1021*n**4/8 - 3*n**3/4 + 1544*n**2. Factor y(q).
-(1021*q - 3)**2/2
Let t be ((-119)/119)/((-1)/(3 + 0)). Factor 0*i + 80*i**2 + 204/5*i**4 + 216*i**t + 2*i**5 + 0.
2*i**2*(i + 10)**2*(5*i + 2)/5
Let o = 10/669 + -77