e the second derivative of -8/9*z**3 - 8/9*z**4 + 2*z + 0 - 1/3*z**h. Factor j(n).
-2*(4*n + 1)**2/3
Let l = 109 - 109. Factor l - 2*w**2 - 1/2*w.
-w*(4*w + 1)/2
Let 3/4*x**2 + 3*x + 9/4 = 0. Calculate x.
-3, -1
Let t(b) = 3*b**4 - 5*b**3 - 12*b**2 - 4*b + 4. Let j = 1 - 10. Let h(k) = -6*k**4 + 11*k**3 + 25*k**2 + 8*k - 9. Let y(v) = j*t(v) - 4*h(v). Factor y(d).
-d*(d - 2)*(d + 1)*(3*d + 2)
Let k be (0/2)/(0 + 5 + -4). Let a(h) be the second derivative of -1/30*h**6 + 3*h + 0 + k*h**2 + 0*h**5 + 0*h**3 + 1/12*h**4. Factor a(s).
-s**2*(s - 1)*(s + 1)
Let t(q) be the second derivative of 3*q**7/14 + 29*q**6/30 + 33*q**5/20 + 5*q**4/4 + q**3/3 - 56*q. Determine z so that t(z) = 0.
-1, -2/9, 0
Let x(y) = -3*y - 1. Let i(o) = -o**2 - 9*o - 4. Let g(h) = -2*i(h) + 7*x(h). Find l, given that g(l) = 0.
1/2, 1
Let h = -66/7 + 403/42. Let n(w) be the third derivative of 0*w**3 + 0 + 3*w**2 + 0*w + h*w**4 - 1/5*w**5 + 3/40*w**6. Determine r so that n(r) = 0.
0, 2/3
Suppose 0 = 4*f - 4*w - 24, -2*f + 11 = -3*w - 4. Let n be 7/3 - 4/2. Suppose n*j**f + 2/3*j**2 + 0*j + 0 - j**4 = 0. Calculate j.
-2/3, 0, 1
Let r(k) = k - 7. Let a be r(10). Factor 4*o - 2*o + a*o**2 + 0*o - 5*o.
3*o*(o - 1)
Suppose 3 = 2*v - v. Solve 7*z**2 + v*z**4 - z**5 + z - 9*z**2 - z**4 = 0 for z.
-1, 0, 1
Let c(n) = -n**2 + n. Let f(i) = -2*i**3 + 14*i**2 - 12*i. Let o(m) = -28*c(m) - 2*f(m). Determine a so that o(a) = 0.
-1, 0, 1
Let j(y) be the second derivative of -y**6/15 - y**5/8 - y**4/24 - 5*y + 3. Factor j(k).
-k**2*(k + 1)*(4*k + 1)/2
Let n be (2 + 0/(-1))*(-3)/(-2). Factor 0 - 4/9*g**4 + 10/9*g**n + 2/9*g - 8/9*g**2.
-2*g*(g - 1)**2*(2*g - 1)/9
Let i(h) be the second derivative of -2*h**5/45 - h**4/6 - 2*h**3/9 - h**2/9 + 5*h. Factor i(a).
-2*(a + 1)**2*(4*a + 1)/9
Factor 0 + 4*z**5 + 0*z**2 + 0*z**3 + 0*z - 4/3*z**4.
4*z**4*(3*z - 1)/3
Let q = 9/35 + 11/35. Let x(z) be the first derivative of q*z**2 - 2/21*z**3 - 8/7*z + 1. Factor x(o).
-2*(o - 2)**2/7
Suppose 0 = 5*f + 3*s + 26, 2*f + s + 12 = -s. Let i be (-3)/(-6) - 6/f. Solve -i*j**2 + 0 + 3*j**2 - 1 = 0.
-1, 1
Let m = -20 + 23. Determine q, given that -5 - 3*q + 3*q**3 + 1 - 2 + m*q**2 + 3 = 0.
-1, 1
Factor 0 + 0*u - 2/9*u**2 + 2/9*u**3.
2*u**2*(u - 1)/9
Let l(o) be the second derivative of 3*o**5/40 - 7*o**4/24 - 7*o**3/12 + 3*o**2/4 - o + 28. Factor l(x).
(x - 3)*(x + 1)*(3*x - 1)/2
Factor -6*f**2 - f**2 - f**2 - f**2 - 15*f**3 + 6*f.
-3*f*(f + 1)*(5*f - 2)
Let p(j) = -j**3 - 20*j**2 - 34*j + 36. Let o be p(-18). Factor o + 2/3*t**3 + 4/3*t**2 - 2/3*t**4 + 0*t.
-2*t**2*(t - 2)*(t + 1)/3
Let o(r) be the first derivative of 2*r + r**3 - 3 - 5*r + 7 + 3*r**2 - 2*r**3. Suppose o(w) = 0. Calculate w.
1
Let f(h) be the third derivative of -h**5/300 - h**4/40 + 3*h**2 - 3. Factor f(c).
-c*(c + 3)/5
Let w(f) be the third derivative of -f**6/30 - 2*f**5/15 - f**4/6 - 6*f**2. Factor w(l).
-4*l*(l + 1)**2
Let g(m) be the second derivative of -m**8/2240 + m**7/840 + m**6/240 - m**5/40 - 5*m**4/12 - 6*m. Let t(n) be the third derivative of g(n). Factor t(w).
-3*(w - 1)**2*(w + 1)
Let b(d) = -d**2 - 5*d. Let f be b(-5). Let c(m) = -m**2 + 4*m + 14. Let j be c(6). Determine k so that 1/4*k + f + 1/4*k**j = 0.
-1, 0
Let h(x) be the second derivative of -x**6/180 + x**5/60 + 5*x**4/72 - x**3/6 + 72*x. Determine c, given that h(c) = 0.
-2, 0, 1, 3
Factor 21*a + 12*a - 13*a - 3*a**2 - 15 - 2*a**2.
-5*(a - 3)*(a - 1)
Suppose -5*m + 45 = 5*t, -m + 0*t = -3*t + 11. Factor 2*u**4 + 2*u**2 + 2*u**3 - 5*u**4 - 2*u**5 + u**m.
-2*u**2*(u - 1)*(u + 1)**2
Let z(h) = h**4 + h**3 - h**2 - h - 1. Let i(b) = 30*b**4 + 78*b**3 + 54*b**2 + 6*b - 10. Let u(r) = i(r) - 10*z(r). Find y such that u(y) = 0.
-2, -1, -2/5, 0
Let b(c) be the third derivative of 0 + 7/24*c**4 - 1/336*c**8 + 4*c**2 + 0*c + 1/105*c**7 + 1/60*c**6 - 1/3*c**3 - 2/15*c**5. Find g such that b(g) = 0.
-2, 1
Suppose -14*y + 28 = -7*y. Let w(n) be the third derivative of -3*n**2 + 3/20*n**6 + 0 + 1/3*n**3 - 5/12*n**y + 1/10*n**5 + 0*n. Factor w(i).
2*(i + 1)*(3*i - 1)**2
What is g in 3 - 2352*g**2 + 2353*g**2 - 4*g + 0 = 0?
1, 3
Let u be (-2)/(-8)*0*1. Let v(a) be the third derivative of u*a - a**2 + 1/60*a**5 + 1/24*a**4 + 0 + 0*a**3. Factor v(c).
c*(c + 1)
Suppose h + 2*h + j - 7 = 0, 5*j = -h - 7. Factor -2/9*u**4 + 2/9*u**h + 0*u + 0 - 2/9*u**5 + 2/9*u**2.
-2*u**2*(u - 1)*(u + 1)**2/9
Let v be 4/7 + (-2 - 90/(-14)). Suppose -5/3*a**v - 32/3*a**2 - 13/3*a - 38/3*a**3 - 22/3*a**4 - 2/3 = 0. Calculate a.
-1, -2/5
Let v(d) be the second derivative of 1/9*d**2 - 1/90*d**5 + 0 - 2*d + 1/27*d**3 - 1/54*d**4. Let v(t) = 0. Calculate t.
-1, 1
Let a(l) be the second derivative of l - 1/24*l**6 + 1/12*l**4 + 0 + 0*l**2 + 0*l**3 + 1/10*l**5. Find p such that a(p) = 0.
-2/5, 0, 2
Let q(z) be the first derivative of -3/10*z**5 + 1/3*z**4 + 0*z**2 + 3*z - 1 + 0*z**3. Let l(k) be the first derivative of q(k). Factor l(v).
-2*v**2*(3*v - 2)
Let w(j) be the first derivative of j**6/6 + 2*j**5/5 + j**4/4 + 3. Determine m so that w(m) = 0.
-1, 0
Let x(o) = -o - 5. Let q be x(-8). Suppose 2*h = q*h. Determine u so that h + 3/4*u**4 + 9/4*u**2 - 3/4*u - 9/4*u**3 = 0.
0, 1
Let p be 4 + 6/1 + 1. Let x(g) = 5 + 3 + 2*g - 6. Let z(a) = -a**2 - 11*a - 10. Let t(h) = p*x(h) + 2*z(h). Solve t(q) = 0 for q.
-1, 1
Let g(s) be the second derivative of s**4/6 - s**2 + 9*s. Determine p, given that g(p) = 0.
-1, 1
Let f(g) be the third derivative of g**7/105 + 4*g**6/105 + 11*g**5/210 + g**4/42 + 5*g**2. Factor f(z).
2*z*(z + 1)**2*(7*z + 2)/7
Let f(s) = s**2 + 2. Let y(r) = -7*r**2 - 13. Let g(v) = -39*f(v) - 6*y(v). Factor g(k).
3*k**2
Let a be (-38)/14 - -1 - -2. Factor -4/7 - a*l**2 - 6/7*l.
-2*(l + 1)*(l + 2)/7
Let s(x) be the third derivative of 0*x**4 + 5*x**2 + 0*x + 0 - 1/210*x**7 - 1/60*x**5 - 1/60*x**6 + 0*x**3. Factor s(h).
-h**2*(h + 1)**2
Let z(y) be the second derivative of -1/21*y**3 + 0*y**2 + 0 + 1/105*y**6 - 3/70*y**5 - 10*y + 1/14*y**4. Factor z(k).
2*k*(k - 1)**3/7
Let z = -333 - -4997/15. Factor 0 + 0*d + 2/15*d**2 + z*d**3.
2*d**2*(d + 1)/15
Let d(z) = -4*z**3 - 6*z**2 + 3*z + 7. Let v(x) = 9*x**3 + 13*x**2 - 7*x - 15. Let n(w) = -7*d(w) - 3*v(w). Let n(c) = 0. Calculate c.
-2, 1
Let a be 0/(2/2 + 0). Let n(p) be the second derivative of 0*p**3 + a + 0*p**2 - 1/6*p**4 - p. Factor n(i).
-2*i**2
Let z be ((-16)/24)/((-4)/18). Let s(l) be the second derivative of 0 + 0*l**z + 0*l**2 - l + 1/24*l**4. Factor s(k).
k**2/2
Let d = -33 - -20. Let g = d - -15. Factor 1/2 + 1/2*m**g + m.
(m + 1)**2/2
Factor -4/7*n**2 + 4/7*n**4 + 0 + 6/7*n**3 + 0*n.
2*n**2*(n + 2)*(2*n - 1)/7
Let d = 3 - 0. Suppose -4 = 2*h + 4*l, -2*h + 3*l = 4 - 21. Factor o**d - 3*o**2 + 4*o**2 - 2*o**2 + 2*o**h.
o**2*(o + 1)*(2*o - 1)
Suppose 6*r - 12 = 3*r. Let l(q) = -q**2 - 15*q + 34. Let p be l(-17). Find z, given that z + p + 1/2*z**r - 1/2*z**2 - z**3 = 0.
-1, 0, 1, 2
Factor 16 + 1/4*u**2 + 4*u.
(u + 8)**2/4
Let p(k) = -7*k**2 + 13*k + 2. Let t(a) = 190*a**2 - 350*a - 55. Let m(i) = -55*p(i) - 2*t(i). Determine v so that m(v) = 0.
0, 3
Let w(m) = 4*m - 4. Suppose 2*o + 0*o - 34 = -4*f, -5*f + o + 60 = 0. Let y(z) = -z**2 - 12*z + 11. Let b(d) = f*w(d) + 4*y(d). Find v, given that b(v) = 0.
-1, 0
Factor -1/2*w**3 + 1/4 - 1/4*w**4 + 1/2*w + 0*w**2.
-(w - 1)*(w + 1)**3/4
Let w(j) be the third derivative of j**7/280 - j**6/160 - j**5/80 + j**4/32 - 2*j**2. Determine k, given that w(k) = 0.
-1, 0, 1
Let v(o) be the first derivative of o**6/360 + o**5/180 + o**2/2 - 2. Let n(a) be the second derivative of v(a). Factor n(j).
j**2*(j + 1)/3
Solve 3 + 3*v**2 - 6*v**3 + 3*v**2 + 0*v**3 + v**4 - 10*v + 6*v**2 = 0.
1, 3
Let t(k) = -5*k**3 + 12*k**2 - 5*k. Let x(c) = 10*c**3 - 25*c**2 + 10*c. Let r(m) = 5*t(m) + 2*x(m). Factor r(n).
-5*n*(n - 1)**2
Let a(w) be the second derivative of -w**9/90720 + w**7/15120 - 5*w**4/12 - 3*w. Let h(v) be the third derivative of a(v). Solve h(t) = 0 for t.
-1, 0, 1
Suppose -2*l = -0*l + 12. Let m be (-32)/l*(-11)/(-22). Determine j, given that -2/9*j**2 - 8/3*j**3 - 8/9*j**4 - 8/9 + m*j = 0.
-2, 1/2
Let m = 309/1252 - -1/313. Factor m*n**2 + 1/4*n + 0.
n*(n + 1)/4
Let b(z) be the third derivative of 3*z**6/140 + z**5/10 - 17*z**4/84 + z**3/7 - 5*z**2. Factor b(p).
2*(p + 3)*(3*p - 1)**2/7
Suppose 