derivative of a(l). Factor f(g).
2*g**4*(g - 1)/5
Factor -24/11*m - 2/11*m**2 - 72/11.
-2*(m + 6)**2/11
Let d(o) be the first derivative of -o**6/7 + 2*o**5/5 - o**4/6 - 34*o**3/63 + 16*o**2/21 - 8*o/21 - 26. Solve d(i) = 0 for i.
-1, 2/3, 1
Factor -6*l**2 + 5*l**5 + 2*l**3 + 4*l**2 - 7*l**5 + 2*l**4.
-2*l**2*(l - 1)**2*(l + 1)
Suppose -g - 1 + 0 = 0. Let z be (7/4)/(g/(-4)). Factor -2*k**4 - 2*k**2 + 4*k**3 + 7*k - z*k.
-2*k**2*(k - 1)**2
Let j(l) be the second derivative of l**7/231 - 2*l**6/165 - 3*l**5/110 - 8*l. What is z in j(z) = 0?
-1, 0, 3
Let g = -80 - -82. Factor -1/5*k**4 + 3/5*k**3 + 0 + 1/5*k - 3/5*k**g.
-k*(k - 1)**3/5
Let v(q) be the first derivative of 3*q**5/80 - q**4/16 + q + 3. Let g(b) be the first derivative of v(b). What is p in g(p) = 0?
0, 1
Let x(w) = -2*w**5 + 9*w**4 + 5*w**3 + w**2 - 3*w. Let j(n) = n**5 - 5*n**4 - 3*n**3 - n**2 + 2*n. Let g(b) = 5*j(b) + 3*x(b). Factor g(y).
-y*(y - 1)**3*(y + 1)
Factor 3*u**3 - 28*u**2 - 2*u**2 + 11*u**2 - 12 + u**2 + 27*u.
3*(u - 4)*(u - 1)**2
Let w(j) be the third derivative of -j**6/480 + j**5/60 - 5*j**4/96 + j**3/12 + 2*j**2. Factor w(b).
-(b - 2)*(b - 1)**2/4
Let t(z) = 6*z**5 - 2*z**4 - 10*z**3 + 2*z**2 + 12*z - 8. Let m(k) = 7*k**5 - 3*k**4 - 10*k**3 + 3*k**2 + 11*k - 8. Let c(u) = 4*m(u) - 5*t(u). Factor c(i).
-2*(i - 1)**3*(i + 2)**2
Let m(u) be the second derivative of 0*u**5 + 1/480*u**6 + 0 - 1/96*u**4 - 1/2*u**2 + 0*u**3 + u. Let p(n) be the first derivative of m(n). Solve p(l) = 0.
-1, 0, 1
Factor 1/6*m**4 + 1/3*m**3 - 10/3*m - 7/6*m**2 - 2.
(m - 3)*(m + 1)*(m + 2)**2/6
Factor 0 + 8/5*z**4 + 2/5*z**5 + 8/5*z**2 + 2/5*z + 12/5*z**3.
2*z*(z + 1)**4/5
Let p = 3 + -3. Factor p*n**2 + n**3 - 2*n**3 + 3*n**5 + 3*n**4 - 2*n**3 - 3*n**2.
3*n**2*(n - 1)*(n + 1)**2
Let k = 8 + 4. Suppose -4*m - 2*h + k = 2*h, -2*m + h = 3. Factor 2/3*s + 0*s**2 + m - 2/3*s**3.
-2*s*(s - 1)*(s + 1)/3
Let d(g) = 2*g**3 - 20*g**2 - 50*g - 28. Let c(m) = -2*m**3 + 20*m**2 + 51*m + 29. Let t(j) = 4*c(j) + 5*d(j). Factor t(u).
2*(u - 12)*(u + 1)**2
Determine g, given that 0*g**3 - 1/7*g**4 - 1/7 + 0*g + 2/7*g**2 = 0.
-1, 1
Let n(y) = -y**2 + 2. Let i be n(0). Factor -5*l - 12*l**4 + 2*l**2 + 6*l**i + 12*l**3 - 3 - l + l**2.
-3*(l - 1)**2*(2*l + 1)**2
Let l(u) = 4*u**3 - 6*u**2 - 3*u + 4. Let t(w) = 7*w**3 - 11*w**2 - 5*w + 8. Let s(q) = -5*l(q) + 3*t(q). Factor s(a).
(a - 2)**2*(a + 1)
Let i = -21 - -87/4. Factor 3/4*p**3 + 3/4*p**2 - i*p**4 + 0 - 3/4*p.
-3*p*(p - 1)**2*(p + 1)/4
Let y(g) = -g**2 + 28*g - 147. Let h be y(7). Find s, given that 1/2*s**4 + 2*s + 0*s**2 - 3/2*s**3 + h = 0.
-1, 0, 2
Let t(r) be the first derivative of r**4 - 4*r**3/3 - 10*r**2 - 12*r - 24. Factor t(p).
4*(p - 3)*(p + 1)**2
Suppose -8*g = -3*g + 150. Let k be (12/5)/((-4)/g). Determine y so that 9*y + 3/2 + 9/2*y**4 + k*y**2 + 15*y**3 = 0.
-1, -1/3
Suppose -f - 2*f + 78 = -3*k, 4*k - 31 = -f. Let j be 2 - (-3 - f/(-6)). Factor 0 - j*t**2 - 1/2*t.
-t*(t + 1)/2
Factor -1/3*q**4 + 0 + 0*q + 1/3*q**5 - 1/3*q**3 + 1/3*q**2.
q**2*(q - 1)**2*(q + 1)/3
Let b(x) be the first derivative of x**7/2940 + x**6/630 + x**5/420 - 2*x**3/3 - 4. Let s(o) be the third derivative of b(o). Suppose s(r) = 0. Calculate r.
-1, 0
Let j(q) = -q**5 - 4*q**4 - 8*q**3 + 6*q**2 + 9*q + 6. Let a(o) = -o**5 - 4*o**4 - 7*o**3 + 5*o**2 + 8*o + 5. Let s(f) = 4*a(f) - 3*j(f). Factor s(m).
-(m - 1)*(m + 1)**3*(m + 2)
Let f(b) be the second derivative of b**6/1020 - b**5/255 + b**4/204 + 5*b**2 + 9*b. Let l(d) be the first derivative of f(d). Let l(t) = 0. Calculate t.
0, 1
Let v be 2/3*(-15)/(-2). Suppose -48 = -4*r + 5*a + 7, -2*r + v*a = -35. Factor -26 - 14*b + 10 - 2*b**3 - b**2 - 11*b**2 - r*b.
-2*(b + 2)**3
Factor 0 + 2/5*b + 1/5*b**2.
b*(b + 2)/5
Let y(d) be the second derivative of -2*d**5/5 + d**4/2 + 3*d**3 + 2*d**2 + 16*d. Suppose y(h) = 0. Calculate h.
-1, -1/4, 2
Let j(k) = 5*k**3 - 11*k**2 + 9*k - 3. Let s(z) = -4*z**3 + 10*z**2 - 8*z + 2. Let i(r) = 2*j(r) + 3*s(r). Factor i(u).
-2*u*(u - 3)*(u - 1)
Let a be (-4)/2 - (0 - 1). Let m(w) = -w**3 - w**2 - 2*w - 2. Let l be m(a). Let l - 2/5*d**2 + 4/5*d = 0. Calculate d.
0, 2
Suppose -4*q = -8, p + 3*q - 6*q + 2 = 0. Let a(t) = 3*t**2 - 2*t + 3. Let g(o) = -10*o**2 + 6*o - 10. Let u(i) = p*g(i) + 14*a(i). Factor u(r).
2*(r - 1)**2
Let q(n) = 3*n**4 + 3*n**2 + 3*n. Let h(b) = 6*b**4 + b**3 + 5*b**2 + 5*b. Let z(x) = 3*h(x) - 5*q(x). Factor z(t).
3*t**3*(t + 1)
Let a(u) be the third derivative of -u**5/20 + u**4/24 + 3*u**2. Factor a(v).
-v*(3*v - 1)
Let i be 80/(-8) - 460/(-45). Factor -4/3*h + 2 + i*h**2.
2*(h - 3)**2/9
Let g(s) be the third derivative of -7*s**8/8640 + s**7/540 - s**6/540 - s**5/15 + 3*s**2. Let n(h) be the third derivative of g(h). Factor n(d).
-(7*d - 2)**2/3
Suppose -51*l - 10 = -56*l. Factor 1/3*z**l + 0 + 1/3*z.
z*(z + 1)/3
Suppose -3*b + 2*b + 2*d + 2 = 0, 3*b - 2 = 4*d. Let v be (-7)/(-3) - (4 + b). Factor v*u + 1/3*u**3 + 2/3*u**2 + 0.
u*(u + 1)**2/3
Let s(w) = -2*w - 1. Let l be 15/(-9) + (-1)/3. Let m be s(l). What is r in m*r - 1 + 0*r**4 - r - 2*r**3 + r**4 = 0?
-1, 1
Suppose 0 = 3*o - 4*b - 131, -2*o + 4*b - 65 = -3*o. Let y = 4 - -1. Suppose 18*m + 45*m**2 + 5*m + y*m - o*m**4 + 4 - 28*m**3 = 0. Calculate m.
-1, -2/7, 1
Let l(p) be the second derivative of p**5/150 - p**4/15 + 4*p**3/15 - p**2 - 5*p. Let z(q) be the first derivative of l(q). Factor z(c).
2*(c - 2)**2/5
Factor -16*d + 16/5 + 36/5*d**2.
4*(d - 2)*(9*d - 2)/5
Let j = 222/295 - 9/59. Factor 0 + 0*u**2 - 3/5*u**4 + j*u**3 + 0*u.
-3*u**3*(u - 1)/5
Let q(u) be the first derivative of u**3/12 - 3*u**2/4 + 2*u - 29. Factor q(r).
(r - 4)*(r - 2)/4
Let y(h) be the first derivative of -h**3/6 + h**2/2 - h/2 - 8. Factor y(u).
-(u - 1)**2/2
Let h(k) be the first derivative of -k**5/120 + k**4/24 - k**3/12 + 5*k**2/2 + 5. Let p(y) be the second derivative of h(y). Factor p(z).
-(z - 1)**2/2
Factor -2*w**2 - 2/3*w**4 + 2/3*w + 0 + 2*w**3.
-2*w*(w - 1)**3/3
Let j be (4 + 10/(-2))/(1/(-5)). Let z(x) be the third derivative of -1/16*x**4 + 1/6*x**3 + 1/120*x**j + 0*x + 0 - x**2. Solve z(q) = 0 for q.
1, 2
Let k be (11/(-77))/(10*(-1)/14). Factor -2/5 - 9/5*a**2 - a**3 - k*a**4 - 7/5*a.
-(a + 1)**3*(a + 2)/5
Let x = 95/36 + -31/12. Let s(u) be the second derivative of 0 + 0*u**2 + x*u**4 + 0*u**5 - u + 1/126*u**7 - 1/18*u**3 - 1/45*u**6. Find h, given that s(h) = 0.
-1, 0, 1
Let c(w) be the second derivative of 9*w**5/20 + 2*w**4 - 15*w**3/2 + 6*w**2 - 21*w. Let c(z) = 0. Calculate z.
-4, 1/3, 1
Let z(o) be the first derivative of 3 + 1/4*o**2 + 1/12*o**6 - 1/2*o - 1/10*o**5 - 1/4*o**4 + 1/3*o**3. Factor z(m).
(m - 1)**3*(m + 1)**2/2
Let v be ((-40)/(-70))/((-2)/(-7)). Let n(s) be the second derivative of 1/3*s**3 + 0 + s + 1/6*s**4 - 1/10*s**5 - s**v. Solve n(a) = 0.
-1, 1
Let o = -3 + 6. Let s = -1 - -2. Factor k + 1 - s + k**o - 2*k**2.
k*(k - 1)**2
Let r be 2 - 2/1*-1. Let h(k) be the second derivative of -1/45*k**6 - 1/10*k**5 - 1/6*k**r + 0 - 1/9*k**3 + 0*k**2 - k. Factor h(n).
-2*n*(n + 1)**3/3
Let j = -99 - -299/3. Factor -4/3*i**2 + j*i + 4/3*i**4 + 0*i**3 + 0 - 2/3*i**5.
-2*i*(i - 1)**3*(i + 1)/3
Let d(k) be the third derivative of -3*k**2 + 1/12*k**4 + 0 + 0*k - 1/30*k**5 + 0*k**3. Solve d(j) = 0.
0, 1
Let v = -3 - 1. Let f(i) = -i**4 + 6*i**3 - i**2 - 4. Let z(g) = -9*g**4 + 48*g**3 - 9*g**2 - 33. Let x(y) = v*z(y) + 33*f(y). What is q in x(q) = 0?
-1, 0
Let f(t) = t**2 - 15*t - 32. Let o be f(17). Factor 4/3*a - 2/3*a**o + 0.
-2*a*(a - 2)/3
Let d = 3/35 - -4/35. Factor d*j**3 + 0 - 1/5*j + 0*j**2.
j*(j - 1)*(j + 1)/5
Let m(s) be the first derivative of 3/10*s**4 + 0*s - 1/5*s**3 + 4 + 0*s**2 - 3/25*s**5. Determine u so that m(u) = 0.
0, 1
Let j(a) be the second derivative of -a**6/10 + 3*a**5/20 + a**4/4 - a**3/2 - 5*a. Factor j(f).
-3*f*(f - 1)**2*(f + 1)
Solve d**2 + 0 - 67*d + 66*d + 0 = 0.
0, 1
Let g(u) be the first derivative of -u**8/4200 + u**7/525 - u**6/150 + u**5/75 - u**4/60 - 2*u**3/3 - 2. Let b(o) be the third derivative of g(o). Factor b(t).
-2*(t - 1)**4/5
Let d = -6 - -8. Let m(q) = -2*q**2 + 6*q - 4. Let h(u) = 8*u**2 - 25*u + 17. Let v(z) = d*h(z) + 9*m(z). Factor v(x).
-2*(x - 1)**2
Let p(k) = 4*k**3 - k**2 - k + 4. Let a(x) = 2*x - 2 - 5 - x**3 + 2*x**2 - 8*x**3 - 2. Let i(z) = 6*