+ 33/4*s**2 + 3/4*s**4 + 7*s**3 + 2*s = 0.
-8, -1, -1/3, 0
Let o(g) be the second derivative of -1/24*g**4 + 0*g**2 + 13/60*g**6 + 0 + 2*g + 5/84*g**7 + 9/40*g**5 - 1/6*g**3. Suppose o(i) = 0. Calculate i.
-1, 0, 2/5
Factor 0 - 1122/5*v**2 - 24/5*v - 279/5*v**3.
-3*v*(v + 4)*(93*v + 2)/5
Let c(m) = 3*m**5 - 3*m**4 - 18*m**3 + 12*m**2 - 3. Let n(a) = 9*a**5 - 8*a**4 - 55*a**3 + 38*a**2 - 8. Let r(u) = -8*c(u) + 3*n(u). What is l in r(l) = 0?
-3, 0, 1, 2
Suppose -4*i + 25 = 33. Let j(b) = 13*b**2 + 27*b + 37. Let z(k) = -6*k**2 - 14*k - 18. Let n(u) = i*j(u) - 5*z(u). Solve n(f) = 0.
-2
Factor -34/9*g**2 + 0 + 20/3*g**3 + 2/3*g - 8/3*g**4 - 16/9*g**5.
-2*g*(g + 3)*(2*g - 1)**3/9
Let k = -4150 - -4152. Factor 2/7*x**3 + 0 - 2/7*x**k + 0*x.
2*x**2*(x - 1)/7
Let m(l) = 74*l + 594. Let i be m(-8). Let t(v) be the first derivative of -9/2*v**i - 3*v**3 - 3*v - 3/4*v**4 - 10. Factor t(x).
-3*(x + 1)**3
Let u(t) = 56*t**4 + 288*t**3 + 5*t**2 - 26*t. Let f(z) = 43*z**4 - 21*z**4 - 9*z + 96*z**3 - 3*z**4 + 2*z**2. Let r(s) = -8*f(s) + 3*u(s). Factor r(b).
b*(b + 6)*(4*b - 1)*(4*b + 1)
Find x such that -18/19*x**2 - 2/19*x**3 + 0 - 16/19*x = 0.
-8, -1, 0
Let s(w) = -3*w**2 + 13*w - 12. Let r(l) = 2*l**2 - 12*l + 13. Let k(x) = -4*x + 14. Let j be k(4). Let v(p) = j*r(p) - 3*s(p). What is z in v(z) = 0?
1, 2
Suppose -34*l = -6 - 96. Determine w, given that -1/4*w**l - 1/4 + 1/4*w + 1/4*w**2 = 0.
-1, 1
Let h = -29 - -34. Let 3 + 3*s**3 - h*s - 20*s**2 - 3 - 18*s**3 = 0. What is s?
-1, -1/3, 0
Let d be ((-2)/((-30)/(-33)))/(4/32). Let u = -86/5 - d. What is s in 4/5 - u*s**2 - 2/5*s = 0?
-2, 1
Let m(j) be the first derivative of -5*j**3/3 + 155*j**2 - 4805*j - 306. Factor m(p).
-5*(p - 31)**2
Let f be 0 - 4 - (1 - (-27)/(-3)). Suppose 0 - 2/3*s**5 + 0*s**2 - 2*s**f + 0*s - 4/3*s**3 = 0. Calculate s.
-2, -1, 0
Suppose 3*u = -u + 16. Suppose 16*r**2 + 4*r**4 - 4*r**3 - 14*r + 0*r**5 - u - 32*r**2 + 2*r**5 = 0. Calculate r.
-1, 2
Let j = -1674 + 75334/45. Let g = 34/45 - j. Determine t so that g*t**4 - 8*t - 4*t**3 + 26/3*t**2 + 8/3 = 0.
1, 2
Let t(z) be the second derivative of -z**5/450 + z**3/45 - 13*z**2/2 - 13*z. Let c(p) be the first derivative of t(p). Factor c(v).
-2*(v - 1)*(v + 1)/15
Factor 1/3*t + 1/9*t**3 + 0 - 4/9*t**2.
t*(t - 3)*(t - 1)/9
Let t(s) be the second derivative of -58*s + 1/30*s**4 + 1/10*s**2 + 0 - 1/50*s**6 - 1/210*s**7 + 1/10*s**3 - 1/50*s**5. Solve t(u) = 0.
-1, 1
Let r(z) be the first derivative of 9*z**6/7 + 468*z**5/35 + 303*z**4/14 - 1432*z**3/21 + 340*z**2/7 - 96*z/7 - 603. Solve r(x) = 0.
-6, -4, 1/3, 2/3
Let k be 1/(-1) - 12/(-4). Let m(z) be the second derivative of k*z + 0*z**4 + 2/9*z**3 + 1/45*z**6 + 0 - 1/15*z**5 - 1/3*z**2. Factor m(j).
2*(j - 1)**3*(j + 1)/3
Let z be (-2 + 3)/(-1) + -87. Let i = z + 199. Factor -9 + 1 - 6*o**2 - 99*o + o**3 + i*o.
(o - 2)**3
Suppose 5*i + q + 9 = 0, 3*q + 10 = -2*i - 4. Let z(j) = -j**3 + 8*j**2 - 11*j + 5. Let t(y) = y**2. Let f(m) = i*t(m) + z(m). Factor f(u).
-(u - 5)*(u - 1)**2
Let z(y) be the first derivative of 0*y - 7 + 4/5*y**2 + 4/15*y**3. Factor z(p).
4*p*(p + 2)/5
Let y = 76824/5 - 15537. Let j = -172 - y. Factor -2/5*g**3 + j*g**2 + 0 + 0*g.
-g**2*(2*g - 1)/5
Let h(m) be the second derivative of 0*m**2 - 5/4*m**4 + 0 - 5/6*m**3 - 1/6*m**6 - 3/4*m**5 + 18*m. Factor h(l).
-5*l*(l + 1)**3
Let p = 5 + -34. Let y = p - -38. Suppose 4*j**2 - 4*j**2 - 5 + 12*j**5 - 3*j**2 - 39*j**3 + y*j**4 - 1 + 27*j = 0. Calculate j.
-2, -1, 1/4, 1
Let a(y) = 8*y**4 - 28*y**2 + 12*y. Let n(m) = -9*m**4 + m**3 + 30*m**2 - 12*m. Let u(v) = -5*a(v) - 4*n(v). Factor u(c).
-4*c*(c - 1)**2*(c + 3)
Let a(o) be the third derivative of -5*o**8/336 - 5*o**7/42 - 7*o**6/24 + o**5/12 + 5*o**4/3 + 10*o**3/3 + 41*o**2. Determine s, given that a(s) = 0.
-2, -1, 1
Let o be (-10)/6 + 20/(780/221). Let i(v) be the third derivative of -1/8*v**o + 9*v**2 + v**3 + 0*v + 0 - 1/20*v**5. Factor i(n).
-3*(n - 1)*(n + 2)
Let f(q) be the second derivative of -q**9/3780 + q**8/2100 + q**7/210 + q**6/150 + 37*q**3/6 - 35*q. Let a(v) be the second derivative of f(v). Factor a(r).
-4*r**2*(r - 3)*(r + 1)**2/5
Suppose w + 4*b = 4, -4*b - 7 = -4*w + 9. Let r be (-4)/w + 1 - -3. Find v, given that -5*v**4 + 18*v**2 + 4*v - 6*v**5 + v**4 + 2*v**4 + 0*v**4 + 18*v**r = 0.
-1, -1/3, 0, 2
Let u(k) be the second derivative of -k**5/20 - k**3/6 - k**2 + 2*k. Let n be u(-2). Find x such that 5*x**3 + n*x**3 - 14*x**3 = 0.
0
Let w(z) be the second derivative of -25/42*z**7 + 97/12*z**4 - 139/20*z**5 + 24*z + 19/6*z**6 - 16/3*z**3 + 0 + 2*z**2. Factor w(m).
-(m - 1)**3*(5*m - 2)**2
Suppose 3*y - 4 = y. Let p = y + 5. Let i(c) = -7*c**2 + 5*c - 6. Let s(f) = -8*f**2 + 6*f - 7. Let k(m) = p*i(m) - 6*s(m). Solve k(n) = 0 for n.
-1, 0
Let p(k) be the first derivative of -169*k**5/100 + 39*k**4/10 - 18*k**3/5 + 23*k**2/2 + 18. Let u(q) be the second derivative of p(q). Factor u(y).
-3*(13*y - 6)**2/5
Suppose 44 = 3*q + 19*q. Let k(f) be the second derivative of 0*f**3 + 1/6*f**7 + 0 + 2*f + 1/6*f**6 + 0*f**4 - 1/10*f**5 + 0*f**q. Find u such that k(u) = 0.
-1, 0, 2/7
Let k(s) = 3*s**3 - 34*s**2 + 18*s + 61. Let w(l) = 4*l**3 - 38*l**2 + 20*l + 62. Let y(q) = -6*k(q) + 5*w(q). Determine g so that y(g) = 0.
-7, -2, 2
Let h = 50 - 548/11. Let d be ((-1)/2 + (-57)/38)/(-1). Factor -2/11*k**d + 4/11*k - h.
-2*(k - 1)**2/11
Let k = 4 + 0. Find y, given that 1 - 5*y**3 + 6*y**4 + 5*y - k*y**4 - 6*y**4 + 3*y**2 = 0.
-1, -1/4, 1
Suppose t - 2*f + 0*f + 4 = 0, 0 = t - 5*f + 13. Let g be -3 + t + 20/2. Factor 20 - 2*x**2 + 14*x**2 - 42*x - g*x - 13*x.
4*(x - 5)*(3*x - 1)
Let s(k) be the first derivative of 7*k**3/3 + 43*k**2/10 + 12*k/5 - 259. Factor s(t).
(5*t + 4)*(7*t + 3)/5
Let z = 69 + -63. Find k, given that k**2 - 200*k + z + 95*k + 98*k = 0.
1, 6
Let r(p) be the second derivative of -5/48*p**4 - 1/3*p**3 - 1/2*p**2 + 0 - 10*p - 1/80*p**5. Find k, given that r(k) = 0.
-2, -1
Let s = -50/41 + 978/533. Factor 8/13 - s*l + 2/13*l**2.
2*(l - 2)**2/13
Let k(d) = d**3 - 7*d**2 + 8*d - 9. Let h be k(6). Factor 1 + 8 + 0*w**3 - 9*w**2 + 3*w - 3*w**3 + 0*w**h.
-3*(w - 1)*(w + 1)*(w + 3)
Factor -576/5*s - 2/5*s**4 - 8*s**3 + 0 - 264/5*s**2.
-2*s*(s + 6)**2*(s + 8)/5
Let r(v) be the first derivative of 5*v**4/4 - 5*v**3/3 - 25*v**2/2 - 15*v - 31. Factor r(i).
5*(i - 3)*(i + 1)**2
Let k(q) be the second derivative of q**6/360 - q**5/60 + q**4/24 - 5*q**3/6 + 3*q. Let i(h) be the second derivative of k(h). Factor i(f).
(f - 1)**2
Suppose -202*v = -204*v + 8. Factor 0 + 0*y - 2/15*y**5 - 8/15*y**2 - 2/3*y**v - 16/15*y**3.
-2*y**2*(y + 1)*(y + 2)**2/15
Let c(w) = -2*w + 21. Let n be c(9). Suppose -n*j + 17 = 4*h, h - 3*j + 5 = -h. Factor l**h - 3*l**3 - 1 - 11*l**2 - 2 + l**2 - 9*l.
-3*(l + 1)**3
Let o be 7 + 20/8*24/(-20). Let m(u) be the first derivative of 3/16*u**o + 1/2*u - 3/8*u**2 + 1 + 1/4*u**5 - 7/12*u**3. Let m(g) = 0. Calculate g.
-1, 2/5, 1
Suppose 0 = 5*t + 5*n - 65, -20 + 0 = 4*n. Suppose -3*h**3 + 15*h - t + 9*h**2 - 3*h**2 + 3*h**3 - 3*h**3 = 0. Calculate h.
-2, 1, 3
Let v = -780 + 5461/7. Factor -v*d**2 - 1/7 - 2/7*d.
-(d + 1)**2/7
Find h, given that -228*h + 7*h**2 - 144*h**5 - 372*h**4 + 1304*h**3 - 18 + 69*h**2 + 16*h**5 - 22 - 12*h**4 = 0.
-5, -1/4, 1/2, 2
Let b(r) be the second derivative of r**5/2 + 5*r**4/4 - 5*r**3/3 + 70*r. Determine s so that b(s) = 0.
-2, 0, 1/2
Let j(k) be the second derivative of k**7/13860 - k**5/660 - 7*k**4/6 + 16*k. Let f(v) be the third derivative of j(v). Suppose f(z) = 0. Calculate z.
-1, 1
Determine v, given that 2/9*v**4 + 4/9*v**2 - 10/9*v - 2/3 - 2/9*v**5 + 4/3*v**3 = 0.
-1, 1, 3
Let c(y) be the first derivative of -2 + 0*y**3 + 1/6*y**4 - 1/30*y**5 + 0*y - 3*y**2. Let a(s) be the second derivative of c(s). Factor a(x).
-2*x*(x - 2)
Let i(l) be the first derivative of 5*l**4/4 - 35*l**3/3 - 5*l**2/2 + 35*l + 642. Factor i(v).
5*(v - 7)*(v - 1)*(v + 1)
Suppose -112*p + 10976 + 2/7*p**2 = 0. Calculate p.
196
Let l be 8*(-3)/(-6)*1. Let x(k) be the second derivative of 0*k**2 + 2/21*k**3 + 0 + 1/10*k**5 - 3/14*k**4 - l*k. Factor x(z).
2*z*(z - 1)*(7*z - 2)/7
Let d(r) be the first derivative of -r**3/9 - 7*r**2/2 + 22*r/3 + 33. Factor d(q).
-(q - 1)*(q + 22)/3
Let l(f) be the first derivative of -1/4*f**