**2 - 6*z. Let n(h) = -6*l(h) - u(h). Factor n(m).
-m**3*(m - 2)*(m + 1)
Factor 4/5*p**3 - 8/5 + 8/5*p**2 - 4/5*p.
4*(p - 1)*(p + 1)*(p + 2)/5
Let i = -1 - -3. Let o(a) be the second derivative of 5/18*a**3 - a + 0 + 1/6*a**i + 1/9*a**4. Factor o(z).
(z + 1)*(4*z + 1)/3
Let a(s) = s**2 - s - 1. Let v(l) = 10*l**2 + 15*l - 30. Let o(z) = -5*a(z) + v(z). Factor o(t).
5*(t - 1)*(t + 5)
Let b(f) be the third derivative of f**8/3360 + f**7/630 + f**6/360 - f**4/8 + f**2. Let y(j) be the second derivative of b(j). Factor y(d).
2*d*(d + 1)**2
Let w = 109/2 + -54. Find y such that -1/4*y**2 - 1/4*y + w = 0.
-2, 1
Let u(h) be the second derivative of -h**5/50 - h**4/30 + 2*h**3/15 - 4*h. Factor u(t).
-2*t*(t - 1)*(t + 2)/5
Solve 0 - 246/11*s**3 + 588/11*s**5 + 8/11*s + 350/11*s**4 + 0*s**2 = 0.
-1, -1/6, 0, 2/7
Find f such that -33/7*f**3 - 192/7*f - 3/7*f**4 - 96/7 - 18*f**2 = 0.
-4, -2, -1
Let j = -48 - -52. Let z(c) = -c**3 + c**2 + 3*c - 2. Let a be z(2). Factor -2/3*i**j + 2/9*i**3 + a + 4/9*i**2 + 0*i.
-2*i**2*(i - 1)*(3*i + 2)/9
Let b(r) be the first derivative of 3*r**4/28 + 4*r**3/7 + 6*r**2/7 + 7. Factor b(f).
3*f*(f + 2)**2/7
Let i(x) = x - 5. Let l be i(5). Factor l + 7/3*s**2 + 3*s**3 - 2/3*s.
s*(s + 1)*(9*s - 2)/3
Let w be 182/49 - 2/(-7). Determine n, given that -33*n**4 + 4*n**2 + 2*n - 14*n**5 - 6*n**3 - 2*n + 9*n**w = 0.
-1, 0, 2/7
Solve 0 + 2/5*d + 6*d**3 - 26/5*d**4 + 8/5*d**5 - 14/5*d**2 = 0.
0, 1/4, 1
Solve -6 + 20*c + 4 + 5*c**2 - 3*c**3 - 2*c**3 - 18 = 0 for c.
-2, 1, 2
Let n = 1244551/45 - 27655. Let k = 26/9 - n. Determine m so that -k*m + 2/5*m**2 + 4/5 = 0.
1, 2
Let w(n) = -n + 1. Let h be w(1). Let s(c) = h*c**4 - 1 - 2*c**2 - 1 + 14*c**3 - 10*c**4. Let v(q) = q**4 - q**2 - q + 1. Let d(b) = s(b) + 2*v(b). Factor d(k).
-2*k*(k - 1)**2*(4*k + 1)
Let k(f) be the first derivative of 5*f**6/6 + 13*f**5 + 165*f**4/2 + 270*f**3 + 945*f**2/2 + 405*f - 21. Factor k(u).
5*(u + 1)*(u + 3)**4
Let p(z) be the first derivative of -4 + 0*z**3 + 0*z - 3/2*z**2 - 1/4*z**4 - 7/20*z**5. Let h(g) be the second derivative of p(g). Factor h(k).
-3*k*(7*k + 2)
Let m(t) be the first derivative of -t**4/4 + 2*t**3/3 - t**2/2 - 7. Determine p, given that m(p) = 0.
0, 1
Let j be (-33)/(-12) - (-6)/(-8). Factor t + t**5 + 2 - j*t**3 - 2 + 1 + t**4 - 2*t**2.
(t - 1)**2*(t + 1)**3
Factor 0 + 6 - v - 7*v - 2*v**2 + 4*v.
-2*(v - 1)*(v + 3)
What is d in -711*d**2 - 5 + 646*d**2 - 5 - 75*d = 0?
-1, -2/13
Let r = -1 + 3. Let p(f) = -f**2 + 4*f. Let k be p(r). Find z such that -8*z**4 + 0*z**2 - k*z**2 - 8*z**3 - 2*z + 22*z**3 = 0.
-1/4, 0, 1
Let n = -4/41 + 49/82. Factor -1/4*l**5 - n*l**4 + 0 + 1/2*l**2 + 1/4*l + 0*l**3.
-l*(l - 1)*(l + 1)**3/4
Let r(t) be the third derivative of 2*t**7/105 + t**6/5 + 4*t**5/5 + 4*t**4/3 - 2*t**2. Suppose r(a) = 0. Calculate a.
-2, 0
Let t(a) be the second derivative of 0 - 19/4*a**4 + 6*a**2 + 21/20*a**5 - 4*a + 4*a**3. Find y such that t(y) = 0.
-2/7, 1, 2
Suppose 0 = -5*h + 12*h - 14. Factor -2/9*a + 4/9 - 2/9*a**h.
-2*(a - 1)*(a + 2)/9
Let h = 10 - 8. Factor -i**4 + 2*i**3 - 2*i**4 - h*i**5 + i**4 + 2*i**3.
-2*i**3*(i - 1)*(i + 2)
Factor 0 - 3/4*w - 3/4*w**2.
-3*w*(w + 1)/4
Let o(f) be the second derivative of -f**4/18 + 5*f**3/9 - 4*f**2/3 - 51*f. Solve o(a) = 0 for a.
1, 4
Let s = -6718 - -443401/66. Let k(v) be the second derivative of -3*v - 4/11*v**3 + 4/11*v**2 + 0 + 1/165*v**6 - 3/55*v**5 + s*v**4. Find n such that k(n) = 0.
1, 2
Suppose 5*w - 5 = 5. Find l such that -2 + 6*l**2 - w*l**3 - 4*l**3 + 2*l**3 = 0.
-1/2, 1
Suppose -95 = -0*i - 19*i. Factor -4/7*z**2 + 2/7*z + 4/7*z**4 - 2/7*z**i + 0*z**3 + 0.
-2*z*(z - 1)**3*(z + 1)/7
Let g be (-2)/(-8) + (-1090)/(-7000). Let f = g - 3/25. Find n, given that f + 12/7*n**2 + 2/7*n**4 - 8/7*n - 8/7*n**3 = 0.
1
Let f(t) be the third derivative of t**6/120 + t**5/20 - t**4/24 - t**3/2 + 17*t**2. Solve f(z) = 0 for z.
-3, -1, 1
Let y = 143051 + -1574945/11. Let b = 126 + y. Let 2/11*h**2 + 0*h - b*h**4 + 0 + 2/11*h**3 - 2/11*h**5 = 0. Calculate h.
-1, 0, 1
Suppose 0 = 3*j - 15, b + b - 5*j = -19. Let s(n) be the second derivative of 1/4*n**2 + 1/3*n**b + 0 + 1/60*n**6 + 1/4*n**4 + 1/10*n**5 + n. Factor s(d).
(d + 1)**4/2
Let r(i) be the second derivative of 5*i**7/462 + 9*i**6/110 + i**5/4 + 53*i**4/132 + 4*i**3/11 + 2*i**2/11 + 15*i. Solve r(a) = 0.
-2, -1, -2/5
Let f(v) = -v**5 - 5*v**4 - 7*v**3 + 5*v**2 + 8*v. Let o(l) = l**5 + 4*l**4 + 6*l**3 - 4*l**2 - 7*l. Let c(g) = -6*f(g) - 7*o(g). Factor c(h).
-h*(h - 1)**3*(h + 1)
Let l = -4 + 8. Suppose 3*w - l*k = 73, -w + 2*k + 23 = k. Suppose 0*z + w*z**2 - 8*z**2 + 7*z**4 + 16*z**3 + 2*z + 0*z**3 = 0. What is z?
-1, -2/7, 0
Factor -8*s + 8*s**3 - 19*s**4 + 29*s**4 - 14*s**4 + 4*s**2.
-4*s*(s - 2)*(s - 1)*(s + 1)
Let g(y) = -y**3 + 0*y**3 + y**2 - 7 + 4*y + 0*y**2 - 3*y**2 + 6*y**4. Let r(q) = -3*q**4 + q**2 - 2*q + 4. Let m(u) = 4*g(u) + 7*r(u). Factor m(j).
j*(j - 1)**2*(3*j + 2)
Let w be ((5/6)/(-5))/((-21)/84). Factor 2*z + 0 + w*z**2.
2*z*(z + 3)/3
Suppose 0*n = -8*n + 3*n. Let j(p) be the second derivative of -1/6*p**4 + 1/5*p**6 - 1/5*p**5 + 0 + n*p**3 + p + 0*p**2. Find d, given that j(d) = 0.
-1/3, 0, 1
Let p be (-143)/(-65) + 1/(-5). Let p*b**2 - 4/5*b + 4/5*b**3 + 0 - 2*b**4 = 0. What is b?
-1, 0, 2/5, 1
Suppose 22 = 4*z - k, -6*z + z - 4*k = -38. Find r, given that 3 + z*r**5 - r**4 + 5*r**4 - 2*r**3 - 3 = 0.
-1, 0, 1/3
Let l(h) be the second derivative of -h**6/600 + h**4/40 - h**3/15 - h**2 + 2*h. Let g(c) be the first derivative of l(c). Factor g(a).
-(a - 1)**2*(a + 2)/5
Let z(k) be the first derivative of -15*k**2 + 4*k - 7/3*k**6 - 25*k**4 + 12*k**5 + 80/3*k**3 - 5. Factor z(o).
-2*(o - 1)**4*(7*o - 2)
Let j(g) be the second derivative of g**6/105 - g**4/21 + g**2/7 - 9*g. Determine r, given that j(r) = 0.
-1, 1
Let i = -6 - -9. Find g, given that 3 - 11 + i*g**2 + 5*g**3 - 3*g**3 + 3*g**2 = 0.
-2, 1
Let i(n) be the third derivative of -n**5/15 - n**4/3 - 2*n**3/3 + n**2. Let i(h) = 0. What is h?
-1
Let w(m) = -2*m**3 - 8*m**2 + 6*m. Let c(k) = -k**3 - k + 1. Let u(l) = 4*c(l) - w(l). Factor u(t).
-2*(t - 2)*(t - 1)**2
Suppose 10 = -y + 4. Let q = 8 + y. Find x, given that x**4 + 9*x - 9*x + x**q - 2*x**3 = 0.
0, 1
Let m = 231/460 + -1/460. Determine q, given that -m*q**2 + 0 - q + 3/2*q**3 = 0.
-2/3, 0, 1
Let a(r) be the first derivative of 0*r**2 + 0*r - 2 + 1/4*r**4 - 2/3*r**3. Suppose a(o) = 0. Calculate o.
0, 2
Let w(s) be the first derivative of -s**4/4 + 10*s**3/3 + 11*s**2/2 + 2*s - 1. Let d be w(11). Factor -4*r**d + 8/3*r - 2/3 + 8/3*r**3 - 2/3*r**4.
-2*(r - 1)**4/3
Factor 8/7*x**4 + 0 - 22/7*x**3 + 12/7*x**2 + 2/7*x**5 + 0*x.
2*x**2*(x - 1)**2*(x + 6)/7
Let h(q) be the first derivative of 1 - 1/5*q**5 - 19/9*q**3 + 13/12*q**4 - 2/3*q + 11/6*q**2. Solve h(w) = 0 for w.
1/3, 1, 2
Let l = -338 - -340. Suppose -16/5*j**3 + 1/5 - 2/5*j**5 + 14/5*j**l + 9/5*j**4 - 6/5*j = 0. Calculate j.
1/2, 1
Let x = 17/64 + 5/192. Let n(z) be the second derivative of 0 + 4/15*z**6 - z - 1/5*z**5 + 0*z**2 - 1/12*z**3 - x*z**4. Let n(u) = 0. Calculate u.
-1/4, 0, 1
Let o(y) be the first derivative of 1/3*y**6 - y**2 + 4/5*y**5 + 0*y + 1 - 4/3*y**3 + 0*y**4. Factor o(n).
2*n*(n - 1)*(n + 1)**3
Factor 2/3 + 4*b**2 - 11/3*b.
(3*b - 2)*(4*b - 1)/3
Factor -8/3*s**2 + 0 + 5/3*s**3 - 4/3*s.
s*(s - 2)*(5*s + 2)/3
Suppose 0 = -m - 0*m + 4. What is d in 1/4*d**5 + 1/4*d**m + 0*d**2 + 0*d**3 + 0 + 0*d = 0?
-1, 0
Factor -30*m + 16*m - 42*m - 4*m**2 - 196.
-4*(m + 7)**2
Factor 2/3*y**3 + 16/3*y**2 + 0 + 32/3*y.
2*y*(y + 4)**2/3
Let x(a) be the second derivative of -a**3/6 - a**2/2 + 16*a. Let u(z) = -2 - z - 4*z + z**2 + 4*z. Let t(g) = u(g) - 3*x(g). Factor t(w).
(w + 1)**2
Let n(v) be the second derivative of -v**4/72 - 5*v**3/18 - 25*v**2/12 + 9*v. Determine x so that n(x) = 0.
-5
Let h(c) = -c**3 + c**2 + c - 1. Let g(b) = -4*b**4 - 8*b**3 + 20*b**2 + 4*b - 20. Let d(a) = g(a) - 20*h(a). Factor d(l).
-4*l*(l - 2)**2*(l + 1)
Let v = 446/433 - 18053/53259. Let f = -1/41 + v. Factor f*i + 2/3*i**2 + 0.
2*i*(i + 1)/3
Let y(l) be the second derivative of l**4/60 - l**3/6 + 5*l. Factor y(x).
x*(x - 5)/5
Factor 18*l**3 - 5*l - 20*l**2 + 28*l**3 - 61*l**3.
-5*l*(l + 1)*(3*l + 1)
Let h(l) = l**4 + 1. Let c(w) = -30*w**3 + 60*w**2