6). Factor q - 8/5*b**4 - 4/5*b**2 + 0*b - 2*b**3 - 2/5*b**5.
-2*b**2*(b + 1)**2*(b + 2)/5
Let v = -1/68 + 209/340. Determine p, given that 9/5*p - 12/5*p**2 + v*p**3 + 0 = 0.
0, 1, 3
Let u(d) be the third derivative of 1/300*d**6 - 4*d**2 + 0*d + 1/150*d**5 + 0*d**3 + 0 + 0*d**4. Solve u(j) = 0 for j.
-1, 0
Let s = -22 - -21. Let r be (-2 - s)/(2/(-6)). Find d such that -1/4*d - 3/4*d**r + d**2 + 0 = 0.
0, 1/3, 1
Let l(q) be the second derivative of -q**4/48 - q**3/24 + 3*q**2/4 + 76*q. Solve l(r) = 0.
-3, 2
Let h(o) be the third derivative of o**7/945 - o**5/270 - 3*o**2. Factor h(x).
2*x**2*(x - 1)*(x + 1)/9
Let f(s) = -s**4 - s**3 - s**2. Let v = -13 + 8. Let x(i) = i**5 - 4*i**4 - 5*i**3 - 5*i**2. Let b(y) = v*f(y) + x(y). Determine t, given that b(t) = 0.
-1, 0
Factor 3/2 - 6*u + 9/2*u**2.
3*(u - 1)*(3*u - 1)/2
Let a be 15/(-6)*24/(-15). Factor a - 9*t**2 - 2 + 4*t + 11*t**2.
2*(t + 1)**2
Let v(k) be the second derivative of k**7/42 - 2*k**6/25 + k**5/25 + 8*k. Factor v(g).
g**3*(g - 2)*(5*g - 2)/5
Let i(d) be the first derivative of -d**3/21 + 3*d**2/14 - 11. Determine l so that i(l) = 0.
0, 3
Let x(v) be the second derivative of 3*v**5/40 - v**4/8 + 9*v. Solve x(w) = 0 for w.
0, 1
Let b(h) = -4*h - 1. Let g be b(-2). Suppose 0 = 5*p - 3 - g. Factor -2/9*o - 2/9*o**p + 0.
-2*o*(o + 1)/9
Find i such that -43 - i - 13*i + 4*i**2 - 10*i + 79 = 0.
3
Let a(s) be the second derivative of -s**4/24 + s**2 + 20*s. Factor a(j).
-(j - 2)*(j + 2)/2
Let z(u) be the second derivative of -u**5/15 - u**4/27 + 16*u**3/27 - 8*u**2/9 - 5*u. Factor z(h).
-4*(h - 1)*(h + 2)*(3*h - 2)/9
Let d = -11/23 + 389/92. Factor -d*z - 3/2 + 21/4*z**2.
3*(z - 1)*(7*z + 2)/4
Let q(x) be the second derivative of 0*x**4 - 4/5*x**6 + 1/2*x**3 - 9/10*x**5 + 0 - 3/14*x**7 + 0*x**2 - 3*x. Factor q(w).
-3*w*(w + 1)**3*(3*w - 1)
Let v(a) be the second derivative of -a**5/80 - 10*a + 1. Factor v(o).
-o**3/4
Let u be 4 - (-9)/((-18)/8). Let g(y) be the first derivative of -2 + u*y - 1/6*y**2 + 1/9*y**3. Factor g(f).
f*(f - 1)/3
Let k be ((-1)/15)/(6/(-54)). Suppose -k*r**3 - 3/5*r**5 - 6*r**2 + 12/5*r + 24/5 + 12/5*r**4 = 0. Calculate r.
-1, 2
Let p be 3 + (0 - -2)/(-2). Factor 2*s + 3*s**p + 4/3*s**3 + 1/3.
(s + 1)**2*(4*s + 1)/3
Suppose -2*c + 4*c - 4 = 0. Let y(k) be the second derivative of -1/6*k**2 - 1/9*k**3 + c*k - 1/36*k**4 + 0. Solve y(m) = 0.
-1
Let o be (1/(-105))/(6/(-9)). Let f(g) be the second derivative of -1/42*g**4 + o*g**5 + 0 + 0*g**3 - 2*g + 0*g**2. Suppose f(c) = 0. Calculate c.
0, 1
Let 8/13*c + 0 - 2/13*c**2 = 0. What is c?
0, 4
Factor 0*z - 1/3*z**2 + 0.
-z**2/3
Let o be 1/(64/(-22) + 3). Let p(c) = c**3 - 10*c**2 - 11*c + 3. Let a be p(o). Factor 1/3*n - 16/3*n**4 + 0 + 8*n**3 - a*n**2.
-n*(n - 1)*(4*n - 1)**2/3
Let y = -10 - -13. Let n = 2 - 0. Factor p**n - p**y - 8*p + 8*p.
-p**2*(p - 1)
Let w(b) be the third derivative of -b**6/60 - b**5/15 + b**4/12 + 2*b**3/3 + 5*b**2. Factor w(g).
-2*(g - 1)*(g + 1)*(g + 2)
Let t(a) be the third derivative of -a**8/1848 - a**7/385 - a**6/330 - 10*a**2. Factor t(r).
-2*r**3*(r + 1)*(r + 2)/11
Let p be 72/42 + (-2)/(-7). Factor 1/4*n**p + 0*n - 1/4.
(n - 1)*(n + 1)/4
Let j(x) = -40*x - x**3 - 274*x - x**3 - 324 - 118*x**2. Let z(m) = m**3 + 39*m**2 + 105*m + 108. Let a(k) = 3*j(k) + 10*z(k). Suppose a(c) = 0. What is c?
-3
Let r(f) be the first derivative of 1/4*f**4 + 0*f + 2/5*f**5 - 10 + 1/6*f**6 + 0*f**2 + 0*f**3. What is a in r(a) = 0?
-1, 0
Suppose 2*o = 100 + 4. Let q be o/91 + (-9)/28. What is j in -1/4*j**5 + 0*j**3 + 0*j**2 - q*j**4 + 0 + 0*j = 0?
-1, 0
Factor 2/3*g**4 + 0 - 4/3*g - 8/3*g**3 + 10/3*g**2.
2*g*(g - 2)*(g - 1)**2/3
Let u(p) be the second derivative of 5/24*p**4 - 3/2*p**2 - 1/15*p**5 + 1/120*p**6 + 3*p - 1/3*p**3 + 0. Let n(o) be the first derivative of u(o). Factor n(c).
(c - 2)*(c - 1)**2
Factor -1/3*c**2 + 2/3 + 1/3*c.
-(c - 2)*(c + 1)/3
Let g(k) be the second derivative of -k**4/3 + 8*k**3/3 - 70*k. Suppose g(p) = 0. What is p?
0, 4
Let h(j) = 7*j**2 + 5*j. Suppose -f - 10 = -6*f. Let q(l) = -2*l**2 + 22*l**f + 8*l + 6*l. Let a(w) = 17*h(w) - 6*q(w). Factor a(n).
-n*(n - 1)
Let g = 6 - 0. Let m be (-3)/g + (-1)/(-2). Solve -1/4*y**4 + m - 1/4*y**5 + 0*y + 1/4*y**3 + 1/4*y**2 = 0.
-1, 0, 1
Let 2/3*r**5 + 0 - 8*r**2 + 8/3*r**4 - 4/3*r**3 + 6*r = 0. What is r?
-3, 0, 1
What is i in -9*i**4 + i**4 + 75*i**3 - 115*i + 360*i + 3*i**4 - 315*i**2 = 0?
0, 1, 7
Find n such that 9/5*n**3 + 0 + 3/5*n**4 + 0*n + 6/5*n**2 = 0.
-2, -1, 0
Factor 0*l + 1/3*l**2 + 1/6*l**3 + 0.
l**2*(l + 2)/6
Let t(q) be the third derivative of -q**6/300 + q**5/15 - 7*q**4/15 + 8*q**3/5 + 26*q**2. Factor t(z).
-2*(z - 6)*(z - 2)**2/5
Let t(z) be the second derivative of z**5/150 - z**4/15 + 4*z**3/15 - z**2 + 3*z. Let n(g) be the first derivative of t(g). What is r in n(r) = 0?
2
Let t be 201/42 - (-2)/4. Let u = 39/7 - t. Factor -u*f**2 - 8/7*f - 8/7.
-2*(f + 2)**2/7
Let m be ((-147)/(-180))/((-6)/(-5)). Let k = m - 1/72. Factor 0 + 0*q + k*q**3 + 2/3*q**2.
2*q**2*(q + 1)/3
Let w(k) be the third derivative of -k**7/105 + k**6/360 + k**5/60 - k**4/4 - 9*k**2. Let s(l) be the second derivative of w(l). Suppose s(n) = 0. Calculate n.
-1/4, 1/3
Let j(i) = -120*i**3 + 175*i**2 + 65. Let o(m) = 11*m**3 - 16*m**2 - 6. Let v(t) = 6*j(t) + 65*o(t). Factor v(x).
-5*x**2*(x - 2)
Let b(z) be the first derivative of 0*z**3 + 1/15*z**5 + 0*z + 3 + 1/12*z**4 + 0*z**2. What is v in b(v) = 0?
-1, 0
Suppose -2*m + 1 = 3. Let z(a) = 8*a**3 + 2*a**2 + 2*a - 6. Let n(s) = s**3 + s**2 - 1. Let x(o) = m*z(o) + 6*n(o). Factor x(j).
-2*j*(j - 1)**2
Let q be 8/(-14)*(-42)/60. Let z(o) be the first derivative of -2/25*o**5 + 4/15*o**3 - 3 - 1/15*o**6 - 1/5*o**2 + 1/5*o**4 - q*o. Factor z(u).
-2*(u - 1)**2*(u + 1)**3/5
Let c(k) = 21*k**2 + k. Let g(u) = -6*u**2 + 3*u**2 + u**2 - 3*u**2. Let f(q) = 4*c(q) + 18*g(q). Let f(b) = 0. Calculate b.
0, 2/3
Let v(t) be the second derivative of -t**6/360 + t**4/24 + t**3/2 - 3*t. Let d(o) be the second derivative of v(o). Factor d(x).
-(x - 1)*(x + 1)
Let h be 14/10 - 2/5. Suppose -3 = -j + h. Let 0*v**j - 7*v**3 + 3*v**2 - 5*v**4 + 5*v**5 + 2*v**4 + 2*v = 0. Calculate v.
-1, -2/5, 0, 1
Let m(l) be the second derivative of -11/24*l**4 + 0 + 1/2*l**2 + 3/4*l**3 - 7*l. Factor m(r).
-(r - 1)*(11*r + 2)/2
Let i(g) be the first derivative of g**6/900 + g**5/300 - g**4/30 - 2*g**3/3 - 2. Let n(h) be the third derivative of i(h). Determine u, given that n(u) = 0.
-2, 1
Let f(u) be the first derivative of u**4/26 + 10*u**3/39 + 8*u**2/13 + 8*u/13 + 2. Factor f(h).
2*(h + 1)*(h + 2)**2/13
Factor 0 + 2/7*r - 4/7*r**4 + 4/7*r**2 - 2/7*r**5 + 0*r**3.
-2*r*(r - 1)*(r + 1)**3/7
Let z be (-3)/((-6)/5)*-2. Let s be 13/5 + (-2)/z. Factor -2*g**3 - 2*g + 6*g**5 - 5*g**5 + s*g.
g*(g - 1)**2*(g + 1)**2
Let t(p) be the second derivative of -5*p**7/84 - p**6/15 + p**5/40 - 18*p. Solve t(a) = 0.
-1, 0, 1/5
Let n(b) be the first derivative of -b**4/10 - 2*b**3/15 + b**2/5 + 2*b/5 + 2. Factor n(z).
-2*(z - 1)*(z + 1)**2/5
Find d, given that -2/9*d - 2/3*d**2 + 0 - 2/3*d**3 - 2/9*d**4 = 0.
-1, 0
Let l be (-38)/(-19)*30/4. Suppose 10*s + 15 = l*s. Determine g so that 2/3*g + 2/3*g**2 - 2/3 - 2/3*g**s = 0.
-1, 1
Let p be ((-1)/12)/((-19)/(-57))*-1. Find a such that 1/4*a**3 - p*a**2 - 1/4*a + 1/4 = 0.
-1, 1
Let u = -25 + 33. Let d(h) be the first derivative of u*h + 3 + 2/3*h**3 + 4*h**2. Factor d(m).
2*(m + 2)**2
Let t = 3 - 0. Let q(g) = -6*g**2 + 6*g + 8. Let k(b) = 2*b**2 - 2*b - 3. Let y(m) = t*q(m) + 8*k(m). Solve y(z) = 0.
0, 1
Let j(c) = 12*c**2 + 14*c - 8. Let g(u) = -u. Let o(v) = -10*g(v) - j(v). Factor o(s).
-4*(s + 1)*(3*s - 2)
Let n(o) be the first derivative of -3*o**5/20 + o**4/6 + 7*o**3/6 + o**2 + 2*o + 6. Let s(h) be the first derivative of n(h). Suppose s(y) = 0. Calculate y.
-1, -1/3, 2
Let r(g) = -78*g**2 - 48*g - 27. Let q(u) = 11*u**2 + 7*u + 4. Let w(d) = 27*q(d) + 4*r(d). Solve w(x) = 0 for x.
-1/5, 0
Suppose -12*x + 27*x = 90. Let g(z) be the third derivative of 0*z**3 - 1/90*z**x + 0*z + 1/30*z**5 + 0 - 2*z**2 + 1/18*z**4. Factor g(l).
-2*l*(l - 2)*(2*l + 1)/3
Let w(h) = -h**3 - h - 1. Suppose -7 = -2*j - 11. Let c(g) = g**4 + 3*g**2 + 2*g + 3. Let l(s) = j*c(s) - 6*w(s). Factor l(z).
-2*z*(z - 1)**3
Let