*z**4 - 1/120*z**6 + 3*z**2. Factor l(n).
-n*(n - 2)*(n + 1)
Let z(s) = 256*s**4 + 20*s**3 - 20*s**2 - 4*s - 4. Let h(u) = -u**4 - u**3 + u**2 + u + 1. Let g(o) = 4*h(o) + z(o). Factor g(i).
4*i**2*(7*i + 2)*(9*i - 2)
Let y(d) = 4*d**2 + 8*d + 7. Let c(o) = o**2 + 5*o - 1. Let j(m) = 6*m**2 + 29*m - 5. Let q(g) = -34*c(g) + 6*j(g). Let i(x) = 7*q(x) - 4*y(x). Factor i(r).
-2*r*(r + 2)
Let y(m) be the third derivative of m**6/1080 - m**5/360 - m**4/36 - m**3/6 + 2*m**2. Let u(h) be the first derivative of y(h). Factor u(q).
(q - 2)*(q + 1)/3
Let h(s) be the second derivative of s**4/16 + s**3/4 - 9*s. Factor h(q).
3*q*(q + 2)/4
Let r(b) be the second derivative of -b**6/15 - 3*b**5/5 - 2*b**4 - 8*b**3/3 - b**2 + 2*b. Let i(a) = -1. Let u(f) = -2*i(f) + r(f). Factor u(z).
-2*z*(z + 2)**3
Suppose 280 = -5*j - 0*j. Let y be (-6)/4*j/42. Find i, given that i - 1/3*i**y - 2/3 = 0.
1, 2
Let j(l) be the second derivative of 15*l**4/4 + 5*l**3 + 5*l**2/2 + 7*l + 4. Factor j(t).
5*(3*t + 1)**2
Find p such that -3*p**3 - 12*p**2 - 6*p**3 + 0*p**3 + p**3 = 0.
-3/2, 0
Find k such that -15/4*k**4 + 9/4*k**3 - 9*k - 6 + 33/2*k**2 = 0.
-2, -2/5, 1, 2
Let b = -7 - -10. Suppose 27*n**2 - 18*n + 0 + 0*n**2 + b = 0. What is n?
1/3
Suppose 2*u - 3 - 1 = 0. Let g = u + 0. Factor -1/3*i - 1/3*i**g + 0.
-i*(i + 1)/3
Suppose -3*h + 2*h - 4*k + 18 = 0, 5*k = 5*h - 65. Let n = -27/2 + h. Suppose -n*o + 0 + 1/4*o**2 = 0. Calculate o.
0, 2
Let k = 123 + -123. Let a(q) be the third derivative of 4*q**2 + 0 + 0*q**4 + 0*q**3 + 1/60*q**5 + k*q. Factor a(d).
d**2
Let v be ((-10)/4)/(1/(-6)). Let b be (30 - -5)*6/v. Find k such that -b*k**5 - 64/7 - 160/7*k**2 - 76*k**4 - 848/7*k**3 + 352/7*k = 0.
-2, 2/7
Factor -4*a**2 + 16*a + 10 - 26 + 0*a**2.
-4*(a - 2)**2
Factor 2*f**5 - 12*f**2 + 18*f**2 - 4*f + 2*f**3 + 6*f**4 - 12*f**2.
2*f*(f - 1)*(f + 1)**2*(f + 2)
Let q = -211/3 - -71. Factor q*m**2 - 2/3 + 0*m.
2*(m - 1)*(m + 1)/3
Let o(t) = t**3 - 3*t**2 - 4*t - 2. Let f be o(4). Let m be f/(-12) + 3/(-18). Factor -3*h + 0 + 7*h + m - 2*h**2.
-2*h*(h - 2)
Solve 0*z + 6/7*z**4 - 2/7*z**5 - 8/7*z**2 + 0 + 0*z**3 = 0 for z.
-1, 0, 2
Let 1/3 + 1/6*i**2 - 1/2*i = 0. Calculate i.
1, 2
Let z = 277 + -273. Suppose -4/11*j**3 + 0*j - 2/11*j**z - 2/11*j**2 + 0 = 0. What is j?
-1, 0
Let v(u) be the second derivative of u**4 + 10/3*u**3 + 3*u - 1/5*u**5 + 4*u**2 + 0 - 2/15*u**6. Factor v(a).
-4*(a - 2)*(a + 1)**3
Let k = -557/42 + 83/6. Let 18/7*b - 10/7*b**2 - 18/7*b**3 - k + 2*b**4 = 0. What is b?
-1, 2/7, 1
Suppose 2*n + 12 = 6*n. Suppose -4 = x - j - 3, 0 = -n*x - 3*j + 15. Factor 0 - 2/3*g**x + 0*g.
-2*g**2/3
Let p = -156 - -937/6. Determine c so that 0 - 1/6*c + 1/3*c**2 - p*c**3 = 0.
0, 1
Let b(m) = 0*m**3 + m**3 + 4*m - 3*m. Let y(a) = a + 9. Let d be y(-7). Let r(s) = -2*s**3 + 3*s**2 - s. Let j(v) = d*r(v) + 6*b(v). Factor j(n).
2*n*(n + 1)*(n + 2)
Let i be (-1)/(-6) + (-16)/(-12). Let j(r) be the second derivative of 3/4*r**4 + 3/20*r**5 - r + 3/2*r**2 + i*r**3 + 0. Let j(w) = 0. Calculate w.
-1
Let u(v) be the first derivative of -v**3/4 - 5. Factor u(x).
-3*x**2/4
Let w(u) = -3*u**4 - 4*u**3 - 6*u**2 + 8*u + 11. Let p(l) = 13*l**4 + 15*l**3 + 23*l**2 - 33*l - 45. Let j(q) = -4*p(q) - 18*w(q). What is d in j(d) = 0?
-3, -1, 1
Let m(n) be the second derivative of -1/2*n**2 + 1/48*n**4 + 0*n**3 + 2*n + 0. Factor m(z).
(z - 2)*(z + 2)/4
Factor -1 + 1/2*l**3 + l**2 - 1/2*l.
(l - 1)*(l + 1)*(l + 2)/2
Let f(p) be the third derivative of p**6/540 + p**5/54 + 7*p**4/108 + p**3/9 + 7*p**2. Factor f(c).
2*(c + 1)**2*(c + 3)/9
Let d(g) = 2*g**2 + 8*g + 1. Let f(z) = -3*z**2 - 9*z - 2. Let l(y) = -5*d(y) - 4*f(y). Let t be l(2). Factor 0*u**4 + u + 2*u**2 + u**2 + 3*u**t + u**4.
u*(u + 1)**3
Let j(y) be the third derivative of y**8/1344 - y**7/840 - y**6/480 + y**5/240 + 7*y**2. Factor j(u).
u**2*(u - 1)**2*(u + 1)/4
Let 7*q**2 - 2*q - 8*q**2 + 3*q - 2*q = 0. Calculate q.
-1, 0
Let g be (-3)/(-6) - (-10)/12. Let d(b) = b**2 - 7*b - 16. Let r be d(9). Solve g*i - 1/3*i**r - 4/3 = 0.
2
Let o be 0*(-4 - -7 - 2). Let 1/4*g**2 + 0 + o*g**3 - 1/4*g**4 + 0*g = 0. Calculate g.
-1, 0, 1
Determine r so that 36*r**3 + 15*r + 14*r**2 - 7*r - 4*r**4 + 22*r**2 - 12*r**5 = 0.
-1, -1/3, 0, 2
Let m = 54 + -51. Let q(v) be the first derivative of 1/25*v**5 - 2 + 0*v**4 + 0*v**2 - 1/15*v**m + 0*v. Factor q(n).
n**2*(n - 1)*(n + 1)/5
Suppose -x - 19 = -5*x + 5*t, -3*t + 37 = 2*x. Let s = 13 - x. Factor -2/3*w**3 + 8/3 + 0*w - 2*w**s.
-2*(w - 1)*(w + 2)**2/3
Solve 0 + 1/5*x**4 + 0*x + 2/5*x**2 + 3/5*x**3 = 0 for x.
-2, -1, 0
Suppose -w + 3*m + 1 = -0*w, -3*m = -4*w + 13. Suppose 2 = -w*b + 5*b. Factor 5/4*p + 1/2 + p**b + 1/4*p**3.
(p + 1)**2*(p + 2)/4
Let x(m) be the second derivative of m**6/1080 + m**5/360 - 2*m**3/3 - 2*m. Let i(b) be the second derivative of x(b). Factor i(q).
q*(q + 1)/3
Let v = -28889/90 - -321. Let a(z) be the third derivative of v*z**5 + 1/36*z**4 + 0 + 0*z**3 + 0*z + 2*z**2. Factor a(g).
2*g*(g + 1)/3
Let n(q) = -q**3 - 7*q**2 + 7*q + 1. Let i(v) = 2*v**3 + 13*v**2 - 13*v - 2. Let w(s) = -6*i(s) - 11*n(s). Factor w(g).
-(g - 1)*(g + 1)**2
Let y(l) be the first derivative of -5*l**6/2 + 5*l**5 - 5*l**4/4 - 5*l**3/3 + 16. Factor y(v).
-5*v**2*(v - 1)**2*(3*v + 1)
Let h(n) be the second derivative of -1/4*n**4 + 0*n**3 - n + 2*n**2 - 1/20*n**5 + 0. What is g in h(g) = 0?
-2, 1
Let g(v) = v**3 + 6*v**2 - v - 6. Let c be g(-6). Suppose -a + 9 = 4*i + 2*a, c = 2*i - 5*a - 11. Factor 5/4*r**i + 1/4*r**5 + 0*r + 1/2*r**2 + r**4 + 0.
r**2*(r + 1)**2*(r + 2)/4
Let c(a) = 8*a**3 - 33*a**2 + 33*a - 8. Let u(p) = 24*p**3 - 100*p**2 + 100*p - 24. Let i(s) = -16*c(s) + 5*u(s). Solve i(y) = 0 for y.
1/2, 1, 2
Suppose -23 = -p - 3*p - 3*n, 5*p - 5 = n. Let y = p - 0. Suppose -y*s + 0*s**2 - 17*s**3 - 2*s**2 + 15*s**2 + 28*s**4 - 13*s**3 - 8*s**5 = 0. What is s?
0, 1/2, 2
Factor 3*a**2 + 9*a**3 - 3*a + 2*a**4 - 5*a**4 + 13*a**3 - 19*a**3.
-3*a*(a - 1)**2*(a + 1)
Let r(u) = u**2 - 6*u - 5. Let s be r(7). Factor -t**4 - 2*t**3 + 2*t**4 - 9*t**4 + 7*t**4 - t**s.
-t**2*(t + 1)**2
Let f(p) be the third derivative of -p**8/30240 + p**7/10080 + p**6/4320 + p**5/30 + 2*p**2. Let j(v) be the third derivative of f(v). Factor j(k).
-(k - 1)*(4*k + 1)/6
Let c = -5 + 5. Suppose c = -5*x + x + 12. Factor 9 - 9 - 3*y**4 - y**2 - y**5 - 3*y**x.
-y**2*(y + 1)**3
Let j(w) = 33*w + 3. Let v(o) = -o**2 + 34*o + 4. Let y(q) = -4*j(q) + 3*v(q). Factor y(u).
-3*u*(u + 10)
Let b be (-1)/(1*2/(-6)). Find t, given that b*t**2 - 2*t**2 + t**4 + t**4 - 3*t**4 = 0.
-1, 0, 1
Let 252 + 2*j - j**2 - j**3 - 252 = 0. Calculate j.
-2, 0, 1
Let j be (-2)/(-4) - (-2)/(-4). Factor y + 3*y**2 - y + j*y**2.
3*y**2
Let l(j) = j**2 + 8*j + 2. Let m be l(-8). Suppose 5*b = 25, 5*i = -m*b - 3 + 33. Find g such that -2*g**2 - 6*g**3 + 2*g**i + 2*g**3 - 4*g**4 = 0.
-1, 0
Let b = -232 + 235. Determine t, given that 2/3 + t - 8/3*t**2 + t**b = 0.
-1/3, 1, 2
Factor 0 + 0*v - 3/4*v**2 - 3/4*v**3.
-3*v**2*(v + 1)/4
Let d(u) be the third derivative of u**5/60 - 5*u**4/24 - 2*u**3/3 + 7*u**2. Let f be d(6). Factor 12/7*n - 2/7*n**f - 18/7.
-2*(n - 3)**2/7
Let t be 2/(-8) - 29/(-4). Suppose -5*h + t - 37 = 0. Let g(y) = 4*y**2 + 7*y. Let k(o) = -9*o**2 - 15*o. Let d(b) = h*k(b) - 13*g(b). Factor d(x).
x*(2*x - 1)
Suppose 5*c = 3*c + 24. Factor -a**5 + c*a**2 - 12*a**2 - 2*a**4 + a**4.
-a**4*(a + 1)
Let w(s) = -2*s - 9. Let m(q) = -5*q - 28. Let x(v) = -3*m(v) + 8*w(v). Let j be x(10). Solve 2*d - 2*d**2 + 4*d**2 + j*d = 0.
-2, 0
Let l(h) be the first derivative of 1/9*h**3 + 0*h + 3 + 1/6*h**2. Factor l(x).
x*(x + 1)/3
Let p = -148 - -1054/7. Find a, given that 2*a**2 + 4/7 + p*a = 0.
-1, -2/7
Let n(p) be the second derivative of -p**7/840 - p**6/480 + p**5/240 + p**4/96 - p**2 + 2*p. Let b(c) be the first derivative of n(c). Factor b(g).
-g*(g - 1)*(g + 1)**2/4
Suppose 4*r = 5*s + 51, 2*r - 29 = -0*r - s. Let f = r - 12. Factor 1/2*k**f + 2 + 2*k.
(k + 2)**2/2
Let o(s) be the second derivative of -s**7/210 + s**6/40 - s**5/20 + s**4/24 + 2*s**2 + 2*s. Let p(n) be the first derivative of o(n). Factor p(c).
-c*(c - 1)**3
Let r = 323 - 551/2. Let h = r + -45. Find l such that -1/2*l**3 + 2*l**2 - h*l + 1 = 0.
1, 2
Let k be 2/4 + (-86)/(-4). What is z in 