= 0. Calculate a.
-8, -1, -1/2, 0
Let y(r) be the second derivative of -5*r**7/168 - r**6/8 - 3*r**5/16 - 5*r**4/48 - 3*r. Factor y(s).
-5*s**2*(s + 1)**3/4
Let q(k) be the third derivative of -k**6/40 - k**5/20 + k**4/4 - 8*k**2. Determine g, given that q(g) = 0.
-2, 0, 1
Let m(u) be the first derivative of u**4/20 - u**3/5 + 4*u/5 - 25. Factor m(q).
(q - 2)**2*(q + 1)/5
Factor 2*m**3 + 6*m - 4/3 - 20/3*m**2.
2*(m - 2)*(m - 1)*(3*m - 1)/3
Let q = 6215/84168 + -12/167. Let h(z) be the third derivative of 0*z**7 - q*z**8 + 1/180*z**6 + 0*z**3 - 2*z**2 + 0*z**5 + 0*z + 0 + 0*z**4. Factor h(o).
-2*o**3*(o - 1)*(o + 1)/3
Let x(j) = -5*j**4 + 7*j**3 - 3*j**2 - 4*j + 2. Let q(n) = -n**4 + n**3 - n**2. Suppose -y - 6 = y. Let m(w) = y*q(w) + x(w). Factor m(t).
-2*(t - 1)**3*(t + 1)
Let c be (-22)/(4*2/16). Let r = c + 91/2. Factor -2*m**2 + 1/2 + r*m.
-(m - 1)*(4*m + 1)/2
Let c(s) = -3*s**2 - 3 - 4*s + 2 - 2. Let w(n) be the second derivative of 5*n**4/12 + n**3 + 5*n**2/2 - 2*n. Let r(q) = -8*c(q) - 5*w(q). Factor r(x).
-(x - 1)**2
Let y(s) be the third derivative of 0*s - 1/20*s**5 + 8*s**2 - 1/4*s**4 - 1/2*s**3 + 0. Solve y(q) = 0.
-1
Let u(m) = -m**3 + 9*m**2 - 8*m - 2. Let j be u(8). Let h = 9 + j. Factor 6*a**3 + 3 - 2*a - 3 - 11*a**3 + h*a**2.
-a*(a - 1)*(5*a - 2)
Let u(f) be the second derivative of 2/21*f**3 + 0*f**2 - 2*f + 5/42*f**4 + 0 - 1/10*f**5. Factor u(s).
-2*s*(s - 1)*(7*s + 2)/7
Let z(a) = -a - 2. Let g be z(-6). Factor -4*y + g + y + y**2 - 4*y + 3*y.
(y - 2)**2
Let h = 38 + -70. Let b be 2 + h/28 + 0. Factor 4/7 + 2/7*l**2 - b*l.
2*(l - 2)*(l - 1)/7
Let j(o) = 3*o**2 - 14*o - 32. Let f(b) = 2*b**2 - 9*b - 21. Let w(t) = 8*f(t) - 5*j(t). Determine a, given that w(a) = 0.
-2, 4
Let r be (3 + 1)*15/20. Let -4*z - z**2 + r + 2*z - 3 = 0. What is z?
-2, 0
Find i, given that 2*i**4 + i**4 - i**4 - 5*i**2 - i**4 - 3*i - i**3 = 0.
-1, 0, 3
Let i be -4 + 2 - 20/(-5). Let b(z) be the first derivative of -1/3*z**3 + i - z + z**2. Suppose b(r) = 0. What is r?
1
Let r be 851/814 + (-12)/22. Let 27/2*w**2 + r + 6*w**4 + 31/2*w**3 + 9/2*w = 0. What is w?
-1, -1/3, -1/4
Let c(b) = 12*b + 2. Let i(u) = u**2 + 1. Let k(s) = -c(s) + 2*i(s). Solve k(z) = 0 for z.
0, 6
Let x be (3 + -3)/(8/4). Solve -5*u**4 - 3*u**3 + 17*u**4 + 3*u - 12*u**2 + x*u = 0.
-1, 0, 1/4, 1
Suppose 0 - 18/5*u**2 + 3/5*u**3 + 27/5*u = 0. Calculate u.
0, 3
Let m be (0/2)/(8/((-16)/4)). Factor m + 0*f + 0*f**3 - 1/4*f**5 + 0*f**4 + 0*f**2.
-f**5/4
Let f(m) be the third derivative of 0 - 1/945*m**7 + 1/135*m**5 - 2*m**2 - 1/27*m**3 + 0*m**4 + 0*m + 0*m**6. Let f(b) = 0. Calculate b.
-1, 1
Let r(g) = g**3 - 11*g**2 + g - 8. Let z be r(11). Suppose 5 = x + 4*s, 5*x = s + z + 22. Factor 0*y**3 + 2/7*y**x + 0 - 2/7*y**4 + 0*y**2 + 0*y.
2*y**4*(y - 1)/7
Let w(r) = 5*r**5 + 3*r**4 + 6*r**3 + 4*r**2 - 4*r. Let s(m) = 4*m**5 + 3*m**4 + 5*m**3 + 3*m**2 - 3*m. Let y = 2 + -5. Let d(k) = y*w(k) + 4*s(k). Factor d(v).
v**3*(v + 1)*(v + 2)
Suppose -2 = -v - 0. Factor -5*q - 2*q - 5*q - 13*q**2 + 18 + 15*q**v.
2*(q - 3)**2
Let g(t) be the first derivative of 1/6*t**6 + 2/5*t**5 + 0*t**4 - 2/3*t**3 - 1/2*t**2 + 0*t - 3. Solve g(u) = 0.
-1, 0, 1
Let f(l) be the second derivative of -l**5/20 - 5*l**4/12 - 7*l**3/6 - 3*l**2/2 - 2*l. Factor f(h).
-(h + 1)**2*(h + 3)
Factor -1/2*b - 1/2 + 1/2*b**3 + 1/2*b**2.
(b - 1)*(b + 1)**2/2
Let c(s) be the third derivative of -2*s**2 - 1/525*s**7 + 1/60*s**4 - 2/15*s**3 + 1/50*s**5 + 0*s - 1/300*s**6 + 0. Determine z so that c(z) = 0.
-2, -1, 1
Let y(z) be the second derivative of z**5/5 - 3*z**4/4 + 9*z**3/8 - 3*z**2/2 + z. Let h(b) be the first derivative of y(b). Factor h(r).
3*(4*r - 3)**2/4
Suppose 9*u = 8*u + 5*o + 18, 15 = -5*o. Find t such that -2/3*t**2 - 2/3*t**u + 0 + 4/3*t = 0.
-2, 0, 1
Let h = 4 + 1. Suppose 0*l = h*l. Factor l + 0*p - 2/3*p**3 - 2/3*p**2.
-2*p**2*(p + 1)/3
Let r = 1/116 + 2083/580. Determine h so that 32/5*h - r*h**2 - 18/5*h**3 - 8/5 = 0.
-2, 1/3, 2/3
Factor -1/4*m**3 + 1/4*m + 0 + 1/4*m**4 - 1/4*m**2.
m*(m - 1)**2*(m + 1)/4
Solve 30*i**4 + i**3 + 5*i**2 - 35*i**4 - i**3 = 0 for i.
-1, 0, 1
Let d(r) be the first derivative of 2/3*r**3 + 1/2*r**4 - 2/5*r**5 + 0*r**2 - 4 + 0*r - 1/3*r**6. Let d(m) = 0. What is m?
-1, 0, 1
Let -1/7*j**3 - 5/7*j - 2/7 - 4/7*j**2 = 0. Calculate j.
-2, -1
Let c(v) = -3*v**3 + v**2 - v - 1. Let r be c(-1). Let g = -2 + r. Factor 0*s**2 + 2*s - 2*s**3 - s**2 - s**2 + g.
-2*(s - 1)*(s + 1)**2
Let l(t) = -4*t**2 + 7*t - 4. Let b(n) = 3*n**2 - 6*n + 3. Let u = 17 - 13. Let g(p) = u*l(p) + 5*b(p). Factor g(h).
-(h + 1)**2
Let b be 3 + 3 + 14 + -2. Factor 5*u**2 - 2*u**2 + 27 + b*u + 0*u**2.
3*(u + 3)**2
Let k be (6/5)/((-1)/(-85)). Suppose i = -2*i + k. Factor d**3 - 16 - 3*d**3 + 10*d - 12*d**2 - i*d.
-2*(d + 2)**3
Let z(u) = -u. Let i be z(-1). Let a(p) = 3*p. Let r be a(i). Factor 2/7*l**r + 0*l**2 + 0*l + 6/7*l**4 + 0.
2*l**3*(3*l + 1)/7
Let q = 144/7 - 54/7. Suppose 48/7*t**2 + q*t**3 + 0 + 50/7*t**4 + 8/7*t = 0. What is t?
-1, -2/5, 0
Suppose -4*f - 167 = 3*h, 0*f - 209 = 5*f + 4*h. Let u = -122/3 - f. Solve 2/3*x - 1/3 - u*x**2 = 0 for x.
1
Let l(y) = y**5 - 2*y**3 - 7*y**2 + 8*y. Let o = -24 - -18. Let b(v) = v**5 - 2*v**3 - 6*v**2 + 7*v. Let p(a) = o*l(a) + 7*b(a). Find c such that p(c) = 0.
-1, 0, 1
Find p, given that -1/5*p**2 + 1/5*p**3 + 0 + 0*p = 0.
0, 1
Let k be 2/(-5) + (-4164)/90. Let t = -46 - k. Determine c so that t*c**2 + 7/3*c - 7/3*c**3 - 2/3 = 0.
-1, 2/7, 1
Let t be 0 + 3 + 10 + -1. Let c be (-26)/65 + t/10. Solve c*g**2 - 6/5*g + 2/5 = 0.
1/2, 1
Let d(c) be the second derivative of c**6/10 + 3*c**5/5 - c**4/4 - 2*c**3 + 2*c - 2. Factor d(r).
3*r*(r - 1)*(r + 1)*(r + 4)
Let o(y) be the second derivative of 2*y**7/21 - 2*y**6/3 + 2*y**5 - 10*y**4/3 + 10*y**3/3 - 2*y**2 + y - 5. Factor o(b).
4*(b - 1)**5
Let p(k) = -k**2 + 7*k - 6. Let x be p(5). Factor 0 + 3/5*u**3 + 4/5*u**x + 1/5*u**5 - 4/5*u - 4/5*u**2.
u*(u - 1)*(u + 1)*(u + 2)**2/5
Let q = 6 + -4. Factor -2*g**2 - 4*g**3 + 3*g**3 - 6*g**4 - 5*g**3 - q*g**5.
-2*g**2*(g + 1)**3
Let n be 11/7 + (-25)/7 + 4. Factor -2/5*k**n + 0 + 2/5*k**4 - 4/5*k + 4/5*k**3.
2*k*(k - 1)*(k + 1)*(k + 2)/5
Let m be (25/(-5) + 5)/(-1 + 0). Factor 8/5*f**4 - 16/5*f**3 + m + 2*f**2 - 2/5*f.
2*f*(f - 1)*(2*f - 1)**2/5
Let u be (-96)/144 + (-22)/(-24). Factor -1/4*x**4 + u*x**2 - 1/4*x**3 + 1/4*x + 0.
-x*(x - 1)*(x + 1)**2/4
Let a be 54/4 - (-12)/8. Let q be (-3)/(-4) + a/(-20). Factor -2/3*h + q - 2/3*h**2.
-2*h*(h + 1)/3
Let j(u) be the third derivative of 2/105*u**7 + 0*u**3 + 0 - 1/30*u**6 - 5*u**2 + 0*u**4 + 0*u + 1/84*u**8 - 1/15*u**5. Factor j(n).
4*n**2*(n - 1)*(n + 1)**2
Let k be ((-36)/20)/(2 + (-23)/10). Let b(p) be the first derivative of 2/3*p**3 - 1/2*p**4 + 0*p + 0*p**2 - 2/5*p**5 + 3 + 1/3*p**k. Factor b(i).
2*i**2*(i - 1)**2*(i + 1)
Let k be 405/396 + (-1)/(-4). Solve 16/11*d + k*d**3 - 8/11 + 38/11*d**2 = 0.
-2, -1, 2/7
Factor 36 - i**2 + 17*i + 8*i**2 - 3*i**2 + 7*i.
4*(i + 3)**2
Factor 3 - 1 + 11*c + 4 - 7*c**2.
-(c - 2)*(7*c + 3)
Let j(a) be the second derivative of a**6/210 + a**5/140 - a**4/42 + 2*a. Factor j(n).
n**2*(n - 1)*(n + 2)/7
Let l be 6/(-176)*32/(-720). Let s(b) be the third derivative of 0*b**5 + 2/33*b**3 - l*b**6 + 0 + 3*b**2 + 1/44*b**4 + 0*b. Suppose s(a) = 0. What is a?
-1, 2
Suppose 5*y + 20 = -o, 4*y - 3*y = -2*o + 5. Factor 4*p**5 + 16 - 12*p**4 - p**o + 22*p**3 - p**5 - 4*p**2 - 24*p.
2*(p - 2)**3*(p - 1)*(p + 1)
Let m be 1 - (-1 + (-2)/2). Factor 3*b**2 + b**m - b - 3 + 2 - 4*b**2 + 2.
(b - 1)**2*(b + 1)
Let f(o) be the first derivative of 26*o**3/21 - 2*o**2/7 + 19. Factor f(m).
2*m*(13*m - 2)/7
Let y be -4 + (-210)/(-49) + 0. Factor -2/7*a**2 - 4/7*a - y.
-2*(a + 1)**2/7
Let p(r) be the first derivative of -2*r**5/5 + r**4 - 2*r**3/3 - 1. Factor p(h).
-2*h**2*(h - 1)**2
Let w(h) be the second derivative of -h**6/135 - h**5/90 + h**4/54 + h**3/27 - 2*h. Factor w(j).
-2*j*(j - 1)*(j + 1)**2/9
Suppose -3/5*s**3 - 3/5*s + 0 - 6/5*s**2 = 0. Calculate s.
-1, 0
Let h(m) be the second derivative of -m**6/25 - 9*m**5/100 + m**3/10 + 18*m. Factor h(z).
-3*z*(z + 1)**2*(2*z - 1)/5
Let y be 2/((-4)/(-6)) + 52/(-20). Let -2/5 - y*h**3 + 2/5*h**2 + 2/5*h = 0. What is h?
-1, 1
Let b(v) be the third derivative of 0*v**6