 j be 2/c + (-26)/(-168). Factor s - 1/4*s**2 - j*s**3 + 1.
-(s - 2)*(s + 1)*(s + 2)/4
Let p(n) be the third derivative of n**6/180 + 21*n**5/5 - 379*n**4/36 + 1029*n**2. Factor p(z).
2*z*(z - 1)*(z + 379)/3
Find d such that -4*d**4 - 4*d**4 + 7*d**4 - 80 + 25*d**3 + d**4 + 5*d**4 - 100*d = 0.
-4, -2, -1, 2
Let l = 20709 + -82821/4. Let i(o) be the second derivative of 0 - l*o**4 + 35/6*o**3 + 10*o + 5*o**2. Factor i(b).
-5*(b - 1)*(9*b + 2)
Let w(x) be the second derivative of 0*x**3 - 9/140*x**5 + 0*x**2 + 1/70*x**6 - 111*x + 0*x**4 + 0. Let w(d) = 0. What is d?
0, 3
Let s(w) be the second derivative of -5/36*w**4 + 0*w**3 - 11/60*w**5 + 187*w - 1/126*w**7 + 0*w**2 + 0 - 7/90*w**6. Factor s(x).
-x**2*(x + 1)**2*(x + 5)/3
Let z be (-13867)/(-245) + -1*(3 - -12). Let -4/5*m**2 - 2704/5 + z*m = 0. What is m?
26
Let w = 263/1536 + -7/1536. Let h(d) be the second derivative of -1/3*d**3 - 6*d**2 + w*d**4 + 4*d + 0. Factor h(p).
2*(p - 3)*(p + 2)
Let x(j) = 2*j**4 - 201*j**3 - 14700*j**2 - 343003*j. Let g(f) = -f**4 - 3*f**3 + f. Let d(k) = 15*g(k) + 5*x(k). Factor d(b).
-5*b*(b + 70)**3
What is f in -80/13*f + 76/13*f**2 + 2/13*f**4 - 22/13*f**3 + 0 = 0?
0, 2, 4, 5
Factor -221 - 404*g**2 - 160 - 23*g**3 - 25*g**3 + 2*g**4 - 210 + 33 - 912*g.
2*(g - 31)*(g + 1)*(g + 3)**2
Let w = 1/3221 + 3197/77304. Let t(v) be the second derivative of -w*v**4 + 0 - 1/60*v**6 + 0*v**3 - 16*v + 1/20*v**5 + 0*v**2. Factor t(u).
-u**2*(u - 1)**2/2
Let d(a) be the second derivative of a**4/48 + 529*a**3/24 - 265*a**2/4 - 91*a - 2. What is h in d(h) = 0?
-530, 1
Let u be (4 - 10) + (-112 - (2 + -3)). Let x be (47/(-15) - -3)*u/12. Let -2/5*q**4 - 2*q + 3/5*q**2 - 3/10*q**5 + 4/5 + x*q**3 = 0. What is q?
-2, 2/3, 1
Let i be (21/9)/(-14*9*(-4)/(-432))*-4. Suppose 28/5*p - i - 4/5*p**2 = 0. Calculate p.
2, 5
Let m(b) be the first derivative of -13 - 3*b + 1/6*b**4 + 0*b**2 + 1/10*b**5 + 0*b**3. Let a(d) be the first derivative of m(d). Factor a(c).
2*c**2*(c + 1)
Suppose 1/4*n**5 + 0*n + 0 + 771147/4*n**3 - 130323843/4*n**2 - 1521/4*n**4 = 0. What is n?
0, 507
Let w be 7*(-20)/(-105)*(-30)/(-25). Determine v, given that w - 4/5*v**3 + 8/5*v + 2/5*v**4 - 6/5*v**2 = 0.
-1, 2
Let k = 93 - 23. Suppose -2*l + 7 + 24 = -j, k = 5*l + 5*j. Determine w, given that -31*w - 89*w - l*w**5 + 228*w**4 - 245*w**2 - 20 - 225*w**3 - 323*w**4 = 0.
-2, -1, -1/3
Suppose 214*d + 312 = 370*d. Solve o - 1/2*o**2 + 3/2*o**4 + 0 - d*o**3 = 0.
-2/3, 0, 1
Let i(v) be the second derivative of v**4/12 + v**2/2 - 73*v. Let q(z) = -20*z**2 + 290*z + 4180. Let u(j) = 25*i(j) + q(j). Factor u(y).
5*(y + 29)**2
Let z be (-2216)/(-277)*1/15. Let t(f) be the first derivative of 7/15*f**2 - 1/30*f**4 - z*f + 37 - 4/45*f**3. Let t(s) = 0. Calculate s.
-4, 1
Let z = 4/4201 + 2583307/323477. Let c = 91/11 - z. Factor -50/7 - 20/7*l - c*l**2.
-2*(l + 5)**2/7
Suppose -128*l + 2201 = -127*l. Factor l*o**2 - 2*o**4 + o**3 - o**3 - 2199*o**2.
-2*o**2*(o - 1)*(o + 1)
Let l = -1244 + 29857/24. Let p(z) be the third derivative of 0*z**3 + 0*z - l*z**4 - 7*z**2 + 0 + 1/120*z**5. Determine x, given that p(x) = 0.
0, 2
Let q = 430905 + -430902. Factor 3/4*d**2 + q*d - 15/4.
3*(d - 1)*(d + 5)/4
Let q(c) = -48*c**2 + 54*c - 24. Let v(u) = u**3 - 138*u**2 + 161*u - 72. Let f(g) = 8*q(g) - 3*v(g). Find i such that f(i) = 0.
1, 8
Let l = -191254/3 + 63778. Factor 2/3*j**2 + l*j + 800/3.
2*(j + 20)**2/3
Let v(x) be the first derivative of -1/15*x**5 + 1/9*x**3 + 105 + 0*x - 1/12*x**4 + 1/18*x**6 + 0*x**2. Factor v(q).
q**2*(q - 1)**2*(q + 1)/3
Let d(a) be the third derivative of -a**7/70 - 549*a**6/40 + 3*a**5/20 + 1645*a**4/8 - 549*a**3 - 1905*a**2. Find i, given that d(i) = 0.
-549, -2, 1
Let g(n) be the third derivative of -n**4/3 + 22*n**3 + 23*n**2. Let b be g(16). Factor 9/5*o**3 - 3*o**5 + 6/5*o**b + 0*o + 0*o**2 + 0.
-3*o**3*(o - 1)*(5*o + 3)/5
What is r in 390 + 118/3*r**2 + 2/3*r**3 - 254*r = 0?
-65, 3
Let v(s) be the first derivative of -12/13*s**2 + 13 + 8/13*s - 2/13*s**4 - 10/13*s**3. Solve v(q) = 0 for q.
-2, 1/4
Let k = 77848/116781 + 2/38927. Factor -2048/3 - 128/3*l - k*l**2.
-2*(l + 32)**2/3
Let r(l) be the first derivative of -5*l**4/4 + 415*l**3/3 + 860*l**2 + 1740*l + 4525. Factor r(z).
-5*(z - 87)*(z + 2)**2
Factor -6310*c**2 + 23*c**3 - 6*c**4 - 5*c**4 + c**5 + c**4 + 6296*c**2.
c**2*(c - 7)*(c - 2)*(c - 1)
Suppose -24 = -4*s + 2*i, -19*i + 23*i = -16. Let m(g) be the first derivative of 4/3*g**3 - 1/2*g**s + 0*g + 1 - g**2. Factor m(z).
-2*z*(z - 1)**2
Suppose 2*o + 0 + 1/4*o**3 + 9/4*o**2 = 0. What is o?
-8, -1, 0
Let t = 79/103 - 25967/33990. Let s(p) be the third derivative of 1/66*p**4 + 0*p + 10*p**2 + 0*p**3 + 0 - t*p**5. Factor s(j).
-2*j*(j - 2)/11
Let s(q) be the first derivative of 0*q + 1/3*q**6 + 2*q**3 + 1/2*q**4 - 2*q**2 + 128 - 6/5*q**5. Determine x so that s(x) = 0.
-1, 0, 1, 2
Let h = -321 - 825. Let w = h + 1149. Suppose 4*c + 0*c**3 - 1/2*c**4 + w*c**2 + 3/2 = 0. Calculate c.
-1, 3
Factor -3*s**2 - s - 134*s - 39 + 6*s - 87.
-3*(s + 1)*(s + 42)
Let v = 31 + -59. Let i be ((-296)/(-40) - 9)/(v/10). Let i*a + 0 + 6/7*a**2 + 2/7*a**3 = 0. What is a?
-2, -1, 0
Let v be (-1)/(1/(14 - -2 - -3)). Let i be v/(-3) - (-13 - -17). Factor 4/3 - 3*n**2 + 4*n - i*n**3.
-(n - 1)*(n + 2)*(7*n + 2)/3
Let a(b) = -11*b**2 + 28*b - 2. Let y(n) be the second derivative of -4*n**4/3 + 7*n**3 - 2*n**2 - 5*n - 5. Let x(j) = -8*a(j) + 5*y(j). Factor x(i).
2*(i - 2)*(4*i + 1)
Factor -71627376 - 8*w**3 - 11826077 + w**3 + 8*w**3 - 1311*w**2 + 572907*w.
(w - 437)**3
Let s = 156340086/549601 - -20/42277. Let 172/13*i + s + 2/13*i**2 = 0. What is i?
-43
Let l(w) be the second derivative of 58*w + 1/6*w**6 + 0*w**3 - 1/4*w**5 + 5/42*w**7 + 0*w**2 + 0 - 5/12*w**4. Determine b so that l(b) = 0.
-1, 0, 1
Let z(r) be the second derivative of r**5/30 - 41*r**4/72 - 34*r**3/9 - 91*r**2/12 - 750*r + 1. Factor z(b).
(b - 13)*(b + 1)*(4*b + 7)/6
Suppose -11*k = -6*k. Let z be (1 - k - -1) + (-364)/195. What is i in 2/5*i + z*i**2 + 4/15 = 0?
-2, -1
Determine w, given that -12*w + 3/2*w**2 + 21/2 = 0.
1, 7
Let o(c) be the third derivative of -1/20*c**5 + 3*c**3 + 0*c + 1/8*c**4 + 0 - 122*c**2. Factor o(i).
-3*(i - 3)*(i + 2)
Let k(y) = 4*y**2 + 5*y + 22. Let r be k(0). Let x be 20/(-4) - 1 - (-136)/r. Let -x*a**3 + 0 - 10/11*a**2 - 12/11*a = 0. Calculate a.
-3, -2, 0
Let q be 198/44 + 3/(-2). Suppose -2*h**4 + 8*h - 54*h**3 - 52*h**q + 4*h**4 + 2 + 114*h**3 + 12*h**2 = 0. Calculate h.
-1
Let m = 277/570 + -64/133. Let g(p) be the third derivative of 0*p**4 - 1/336*p**8 - 18*p**2 + 1/120*p**6 - m*p**7 + 0*p + 1/60*p**5 + 0 + 0*p**3. Factor g(j).
-j**2*(j - 1)*(j + 1)**2
Let g be -2 - 137/(-33) - 34/(-187). Let d(w) be the second derivative of -3/5*w**5 - 2*w**2 - g*w**4 - 10/3*w**3 + 0 - 5*w. Factor d(k).
-4*(k + 1)**2*(3*k + 1)
Let t be (8/50)/(567/105 + -5). Find s, given that -t*s**2 + 0*s + 0 - 2/5*s**3 = 0.
-1, 0
Let d = -163144 + 2773510/17. Determine b, given that d*b + 10/17*b**2 + 12/17 = 0.
-6, -1/5
Solve -1/4*s**3 - 543/4*s + 801/4 + 95/4*s**2 = 0 for s.
3, 89
Suppose 3*k = -q + 3 + 3, 2*k = -3*q + 11. Factor -2 - q*r**2 + 286 - 132*r - 1736.
-3*(r + 22)**2
Let o(l) = l**2 - 11*l + 16. Let v be o(6). Let w be (6/v + 1)/((-98)/(-392)). Factor -4/7*i**3 - 16/7 + w*i + 4/7*i**2.
-4*(i - 2)*(i - 1)*(i + 2)/7
Factor -87/10*c**2 + 14/5*c**3 + 9/10*c + 0.
c*(c - 3)*(28*c - 3)/10
Suppose 1064 + 1035 + 112*f**2 - 94*f**3 + 40*f - 2099 + 14*f**4 = 0. Calculate f.
-2/7, 0, 2, 5
Let j be ((819/45 + -17)/((-9)/(-20)))/((-440)/(-132)). Solve -56 + 284/5*p - j*p**2 = 0 for p.
1, 70
Let i(x) = 2233*x + 58060. Let n be i(-26). Factor -4/5*v**n - 112/5*v - 784/5.
-4*(v + 14)**2/5
Let x(m) = m**3 - 4*m**2 + 3. Let v = -69 + 73. Let h be x(v). Factor 0*s**4 - s**4 - s**h + 7*s - 7*s.
-s**3*(s + 1)
Factor 72 + 40/7*v**2 + 254/7*v + 2/7*v**3.
2*(v + 4)*(v + 7)*(v + 9)/7
Suppose 0*u - 32 = -5*n + 3*u, 4*u = -0*u - 16. Find p, given that 1/5*p**5 + 5*p + 6*p**3 - 6/5 - 8*p**2 - 2*p**n = 0.
1, 6
Let f = 6146 - 6142. Factor 4*a**3 - 14/5 - 48/5*a**2 + 44/5*a - 2/5*a**f.
-2*(a - 7)*(a - 1)**3/5
Let j(s) = -4*s**4 - 86*s**3 + 90*s**2. Let a = -287 + 298. Let i(c) = -c**4 - 29*c**3 + 30*c**2. Let t(g) = a*i(g) - 4*j(g). Factor t(v).
5*v*