-2). Find v, given that v**5 - v**5 - 2*v**o - v**5 - 3*v**4 + 0*v**4 = 0.
-2, -1, 0
Let z = 3/11 - -5/22. Factor -1/4*u**2 + 1/4*u + z.
-(u - 2)*(u + 1)/4
Let c(n) be the second derivative of -n**7/378 + n**6/90 - n**5/60 + n**4/108 + 11*n. Suppose c(m) = 0. Calculate m.
0, 1
Let i(n) be the third derivative of 1/10*n**4 - 2/25*n**5 + 0*n**3 + 1/40*n**6 + 0*n - 1/350*n**7 + 0 - n**2. Solve i(y) = 0 for y.
0, 1, 2
Let h(p) be the second derivative of -p**5/4 - 5*p**4/6 - 12*p. What is w in h(w) = 0?
-2, 0
Let m(n) = 4*n**4 + 4*n**3 + 4*n + 4. Let l be 10/1*22/(-55). Let g(k) = 4*k**4 + 3*k**3 - k**2 + 5*k + 5. Let w(s) = l*g(s) + 5*m(s). Factor w(t).
4*t**2*(t + 1)**2
Let u = 512 - 510. Factor 20/7*q**u + 2/7*q**5 + 10/7*q**4 + 2/7 + 10/7*q + 20/7*q**3.
2*(q + 1)**5/7
Let i(v) be the second derivative of 2*v + 0*v**3 + 1/6*v**4 + 0 + 1/5*v**5 + 1/15*v**6 + 0*v**2. Let i(a) = 0. Calculate a.
-1, 0
Factor -459*o**2 - 18 - 174*o + 342*o - 19*o**2 + 86*o**2.
-2*(14*o - 3)**2
Suppose k - s + 10 = 2*s, -5*k + 5*s - 10 = 0. Let d(i) be the first derivative of -1/2*i**2 + 0*i - 1/4*i**4 - 2/3*i**3 - k. Factor d(a).
-a*(a + 1)**2
Let b(q) = -q**2 - 5*q. Let r(f) = f + 4. Let z be r(0). Suppose -z = x - 1. Let v(d) = -d**2 - 4*d. Let c(a) = x*b(a) + 4*v(a). Suppose c(h) = 0. Calculate h.
-1, 0
Let p = 18 + -15. Let f(g) be the first derivative of 1/2*g**2 + 1/3*g**p + 0*g + 1. Factor f(h).
h*(h + 1)
Let r(i) be the first derivative of -1/6*i**6 + 0*i**3 + 2/5*i**5 + 0*i - 1/4*i**4 + 0*i**2 - 4. Factor r(a).
-a**3*(a - 1)**2
Let x = 2 + 0. Factor -x*n**4 + 2*n**3 - 2*n**3 + 0*n**2 - 2*n**2 + 4*n**3.
-2*n**2*(n - 1)**2
Let b(h) = -2*h**2 + 9*h - 3. Let a be b(4). Suppose 2*g = -3*t - 8, 3*t = g + a + 3. Factor -2*i**3 - 2*i**2 - 2/3*i + t - 2/3*i**4.
-2*i*(i + 1)**3/3
Factor y**4 - 2*y + 2*y**3 + 0 - 6 + 5.
(y - 1)*(y + 1)**3
Let j(l) be the first derivative of l**6/1260 + l**3 + 4. Let u(s) be the third derivative of j(s). Factor u(d).
2*d**2/7
Let i(m) = -m**4 - m**3 + m**2 + m + 1. Let w(l) = l**5 + 13*l**4 + 7*l**3 - 19*l**2 - 11*l - 11. Let k(z) = -22*i(z) - 2*w(z). Factor k(f).
-2*f**2*(f - 2)*(f + 2)**2
Let l(b) be the first derivative of -b**6/3 + b**4 - b**2 + 5. Let l(p) = 0. What is p?
-1, 0, 1
Let y(o) = -o - 1. Let l be y(-5). Factor -3*c - 2*c**3 + l + 9*c + 0.
-2*(c - 2)*(c + 1)**2
Let x(r) be the third derivative of -r**5/90 + 23*r**4/36 - 22*r**3/9 - 2*r**2 - 20. Factor x(b).
-2*(b - 22)*(b - 1)/3
Let y(a) be the second derivative of 1/12*a**3 - a**2 + 1/120*a**5 + 0 - 1/24*a**4 - 2*a. Let s(b) be the first derivative of y(b). Factor s(v).
(v - 1)**2/2
Let p(u) = -2*u**5 + 2*u**4 - 4*u**3 - 2*u**2 + 2. Let d(z) = -8*z**5 + 7*z**4 - 17*z**3 - 9*z**2 + 9. Let k(g) = -2*d(g) + 9*p(g). Let k(i) = 0. Calculate i.
0, 1
Let n(p) be the third derivative of 0*p**4 + 0*p**3 - 1/1512*p**8 + 1/945*p**7 - 1/270*p**5 + 1/540*p**6 - 2*p**2 + 0 + 0*p. Let n(o) = 0. What is o?
-1, 0, 1
Let p(c) be the second derivative of 3*c**5/80 + 9*c**4/8 + 27*c**3/2 + 81*c**2 + 22*c. Find u, given that p(u) = 0.
-6
Factor 0*p + 2/5*p**2 - 1/5*p**3 + 1/5*p**5 - 2/5*p**4 + 0.
p**2*(p - 2)*(p - 1)*(p + 1)/5
Let p(h) = 2*h**3 - 3*h**2 + 4*h - 8. Let j be p(2). Find x such that 0 - 6/7*x**2 - 2/7*x - 2/7*x**j - 6/7*x**3 = 0.
-1, 0
Let x(o) be the third derivative of -o**5/15 + 2*o**3/3 - 5*o**2. Suppose x(c) = 0. What is c?
-1, 1
Let a = -21 + 26. Factor -2/5*s**3 + 1/5*s**a - 2/5*s**2 + 1/5*s**4 + 1/5 + 1/5*s.
(s - 1)**2*(s + 1)**3/5
Factor -80*m + 24*m + 8 + 5*m**2 + 37*m**2 + 56*m**2.
2*(7*m - 2)**2
Let r = 62/3 + -20. Let c = -4 + 4. Factor c*j + r*j**2 - 2/3.
2*(j - 1)*(j + 1)/3
Let m(q) be the second derivative of -9*q**5/20 + 11*q**4/2 - 16*q**3 - 48*q**2 + 34*q. Factor m(r).
-3*(r - 4)**2*(3*r + 2)
Let z(p) be the first derivative of -9*p**4/8 - 7*p**3/2 + 6*p + 15. Find t such that z(t) = 0.
-2, -1, 2/3
Let r = -4 + 4. Let c(i) be the third derivative of -i**2 + 1/540*i**6 - 1/135*i**5 + r*i**3 + 1/108*i**4 + 0*i + 0. Solve c(n) = 0.
0, 1
Suppose 5*s = 3*s - 2. Let g be s/(-10)*65/26. Factor 1/4*b**2 - 1/2*b + g.
(b - 1)**2/4
Let t(j) = -9*j**3 - 10*j**2 + 9*j - 2. Let r(i) = i**2 - i. Let w(k) = -2*r(k) + t(k). Let w(v) = 0. What is v?
-2, 1/3
Let k(p) be the third derivative of -p**8/168 + p**7/105 + p**6/60 - p**5/30 - 12*p**2. Factor k(t).
-2*t**2*(t - 1)**2*(t + 1)
Let y be (-8)/4 - (-3 - -1). Let t be ((-4)/(-10))/(14/10). Find n such that y + 0*n + 0*n**2 - t*n**3 = 0.
0
Let n(l) be the first derivative of 4*l**3/3 + 16*l**2 + 64*l - 4. What is d in n(d) = 0?
-4
Suppose -3 + 615*m**3 - 249*m**2 + 25*m - 8*m + 28*m + 240*m**5 - 648*m**4 = 0. Calculate m.
1/5, 1/4, 1
Let r(c) = c**3 + c**2 - 1. Let z(g) = 7*g**3 + 3*g**2 + 3*g - 7. Suppose t - 4*l = 18, 0 = -2*t - 0*l - 2*l + 6. Let v(d) = t*r(d) - z(d). Solve v(m) = 0.
1
Let h(g) be the second derivative of 3*g + 0 + 1/90*g**6 + 1/60*g**5 + 0*g**3 + 0*g**4 + 0*g**2. Factor h(v).
v**3*(v + 1)/3
Let m = -46 - -46. Determine z so that -4/3*z**2 + m*z + 0 + 2/3*z**3 = 0.
0, 2
Let t(y) be the second derivative of -y**7/27 + 37*y**6/135 - y**5/2 - 25*y**4/54 + 52*y**3/27 - 4*y**2/3 + 2*y. Let t(v) = 0. What is v?
-1, 2/7, 1, 2, 3
Factor 3/2*n**3 + 3*n**2 - 3/2*n - 3.
3*(n - 1)*(n + 1)*(n + 2)/2
Let s be ((-28)/217)/((-2)/3). Let x = 49/93 - s. Factor x - i**3 - 1/3*i**2 + i.
-(i - 1)*(i + 1)*(3*i + 1)/3
Let x(a) be the second derivative of a**5/240 - 3*a**2 + 6*a. Let b(n) be the first derivative of x(n). Suppose b(o) = 0. What is o?
0
Let a = -75 - -80. Let l(d) be the first derivative of 0*d**2 + 3/8*d**4 + 0*d + 3 + 1/10*d**a + 1/3*d**3. Find k such that l(k) = 0.
-2, -1, 0
Suppose 23*t**2 + 72*t + 147 + 13*t**2 + 117*t + 9*t**2 + 3*t**3 = 0. What is t?
-7, -1
Let i(w) = 18*w**4 - 23*w**3 + 16*w**2 - 5*w. Let d(v) = 35*v**4 - 47*v**3 + 31*v**2 - 9*v. Let u(o) = -3*d(o) + 5*i(o). Solve u(n) = 0.
0, 1/3, 2/5, 1
Let p(b) be the first derivative of -b**8/840 + b**7/525 + b**6/300 - b**5/150 + 3*b**2/2 + 2. Let k(y) be the second derivative of p(y). Factor k(g).
-2*g**2*(g - 1)**2*(g + 1)/5
Let m = -33/17 + 365/153. Let x = 4624/6927 + -2/2309. Let x*n + m + 2/9*n**2 = 0. What is n?
-2, -1
Let z(n) = -19*n**3 + 60*n**2 - 81*n + 40. Let p(l) = 9*l**3 - 30*l**2 + 41*l - 20. Let f(q) = 9*p(q) + 4*z(q). Factor f(a).
5*(a - 4)*(a - 1)**2
Factor 108*c + 36*c**2 + 6*c**3 - 2*c**3 + 0*c**3 + 108.
4*(c + 3)**3
Suppose -7*n + 3*n - 5*c = 17, -2*n - 11 = 3*c. Let j(m) be the second derivative of -2/3*m**3 - 1/12*m**4 + 4*m - 2*m**n + 0. Find x such that j(x) = 0.
-2
Let o be (4/(-6))/((-96)/252). Suppose -5*y + 8 = -2. Factor 5/4*x - o*x**y + 1/2.
-(x - 1)*(7*x + 2)/4
Let z(i) be the first derivative of -i**4/20 - 4*i**3/15 - 3*i**2/10 + 4. Solve z(f) = 0.
-3, -1, 0
Suppose 3*f = 5*f - 32. Let t = 81/5 - f. Factor -1/5*c + 0 - t*c**2.
-c*(c + 1)/5
Suppose 5*z**2 + 26*z - 19 + 19 - 11*z = 0. What is z?
-3, 0
Let l(s) be the first derivative of 1/20*s**5 - 5 + 4*s + 4*s**2 + 2*s**3 + 1/2*s**4. Determine h so that l(h) = 0.
-2
Suppose -6*q + 33 + 3 = 0. Let b(j) be the third derivative of 2*j**2 - 1/12*j**4 + 0 + 1/60*j**5 + 0*j + 1/60*j**q - 1/6*j**3. Suppose b(x) = 0. What is x?
-1, -1/2, 1
Let v(d) = d**2 + 2*d + 2. Let i be v(-2). Let -q - 1 + 3*q - i*q**3 + q**2 - 1 + q**2 = 0. Calculate q.
-1, 1
Let d(z) be the first derivative of z**6/6 - 5*z**4/4 + 2*z**2 + 44. Determine s, given that d(s) = 0.
-2, -1, 0, 1, 2
Suppose -2*f**3 - 105*f**4 + 3*f**2 + 106*f**4 - 2*f**3 + 0*f**2 = 0. Calculate f.
0, 1, 3
Let w(m) be the first derivative of 3/10*m**5 + 4 + 0*m**2 - 1/3*m**3 + 0*m + 1/8*m**4. Determine r, given that w(r) = 0.
-1, 0, 2/3
Factor -21 + 2*z + 0*z - 17 + 2*z**2 + 34.
2*(z - 1)*(z + 2)
Let t be 17*(6/2 + -5). Let i = t - -37. Factor 0*r - 2/5*r**i + 0 + 2/5*r**4 + 0*r**2.
2*r**3*(r - 1)/5
Let o(g) be the first derivative of -g**7/42 + g**6/10 - 3*g**5/20 + g**4/12 + 2*g + 3. Let m(h) be the first derivative of o(h). Let m(r) = 0. Calculate r.
0, 1
Let a be (2/(-6))/((-3)/(-18)). Let v be a/3*4/(-8). Solve 0*f**2 + 2/3*f**3 + 0 + v*f**4 + 0*f - f**5 = 0 for f.
-2/3, 0, 1
Let c(q) be the first derivative of q**3/4 - 3*q**2/2 + 3*q - 2. Factor c(v).
3*(v - 2)**2/4
Let y(k) be the second derivative of k**4/42 - k**3