tive of k(d). Factor g(v).
2*(v - 2)**2*(4*v - 1)/5
Let g(l) be the third derivative of -l**8/840 - l**7/180 - l**6/180 + l**5/60 + l**4/24 + 2*l**2. Let f(w) be the second derivative of g(w). Factor f(b).
-2*(b + 1)**2*(4*b - 1)
Let r(v) be the first derivative of 1/60*v**5 + 0*v**4 + 0*v - 1 + 1/3*v**3 + 1/360*v**6 + 0*v**2. Let c(j) be the third derivative of r(j). Factor c(a).
a*(a + 2)
Let b(u) be the third derivative of 0 + 0*u**3 + 0*u**5 + 0*u + 0*u**6 + 8*u**2 - 2/105*u**7 - 1/84*u**8 + 0*u**4. Factor b(a).
-4*a**4*(a + 1)
Factor 0*i + 0 + 2/13*i**3 - 4/13*i**2.
2*i**2*(i - 2)/13
Let j(t) = 7*t**5 + 2*t**4 + 3*t**3 + 3*t**2. Let c(x) = x**5 + x**3 + x**2. Let d(l) = 5*c(l) - j(l). Factor d(g).
-2*g**2*(g - 1)*(g + 1)**2
Let z(p) be the first derivative of -3*p**4/16 - p**3/4 + 15*p**2/8 - 9*p/4 + 3. Solve z(x) = 0.
-3, 1
Let z be (2/(-1) - 1) + -19. Let m = 67/3 + z. Factor 0*l**2 + m*l**4 + 2/3*l**3 - 2/3*l - 1/3.
(l - 1)*(l + 1)**3/3
Let x(i) be the second derivative of 0*i**2 + 1/15*i**6 + 0 - 1/10*i**5 + 1/3*i**3 + 3*i - 1/6*i**4. Determine h so that x(h) = 0.
-1, 0, 1
Factor 25*u**3 + 1201*u**2 + 0*u**3 - 1206*u**2.
5*u**2*(5*u - 1)
Suppose 0 = 4*a + 3*j - 32, -2*a + 7*a + 2*j = 33. Let u be (-3)/(-15)*(-1 + a). Determine g, given that u - 2/5*g - 8*g**3 - 46/5*g**2 = 0.
-1, -2/5, 1/4
Let g(v) be the third derivative of v**5/40 - v**4/4 + 3*v**3/4 - 10*v**2. Suppose g(u) = 0. Calculate u.
1, 3
Factor -26*z**2 + 15*z + 10 - 5*z**3 + 14*z**2 + 12*z**2.
-5*(z - 2)*(z + 1)**2
Determine v, given that 0 + 2*v**2 + 1/2*v = 0.
-1/4, 0
Let l(s) = -190*s**2 - 80*s. Let g(x) = -7*x**2 - 3*x. Let u(t) = 55*g(t) - 2*l(t). Suppose u(c) = 0. What is c?
-1, 0
Let v(o) be the second derivative of o**7/420 - o**5/60 - o**3/6 - 3*o. Let q(l) be the second derivative of v(l). Factor q(d).
2*d*(d - 1)*(d + 1)
Let u(k) be the third derivative of -k**2 - 1/672*k**8 + 0 + 1/120*k**5 + 1/240*k**6 + 0*k**4 + 0*k**3 + 0*k - 1/420*k**7. Solve u(b) = 0.
-1, 0, 1
Let q = -25 + 27. Let f(p) be the third derivative of -1/9*p**3 + 1/18*p**4 - 1/90*p**5 + p**q + 0 + 0*p. Factor f(k).
-2*(k - 1)**2/3
Let d(h) be the second derivative of -h**4/12 - h**3 - 9*h**2/2 - 15*h. Find w, given that d(w) = 0.
-3
Let v(u) be the second derivative of u**5/100 - u**4/12 - 4*u**3/15 + 24*u**2/5 + 4*u. Let v(y) = 0. What is y?
-3, 4
Find d such that -1 + 3/4*d**2 + 5/4*d + 1/4*d**4 - 5/4*d**3 = 0.
-1, 1, 4
Suppose 3*i = 2*v + 10, 4*i + 3*v + v = 0. Suppose 10 = 3*q + i*q. Factor -k**q + k + 1/3*k**3 - 1/3.
(k - 1)**3/3
Suppose z - 5 + 0 = 0. Let b = -2 + z. Determine p so that -5/3*p**b + 2/3 + 4*p**2 - 3*p = 0.
2/5, 1
Let s(p) be the third derivative of 3*p**8/280 + 2*p**7/175 - 9*p**6/100 + p**4/5 - 3*p**2. Find o such that s(o) = 0.
-2, -2/3, 0, 1
Suppose -9*j = 3*z - 13*j - 22, 0 = 2*z - 2*j - 12. Find k such that -2/3*k**z + 0 + 2/3*k = 0.
0, 1
Let z be (-15)/10*(-464)/861. Let d = z - -2/41. Factor 2/7*b**2 - 6/7*b + 2/7*b**4 + d*b**3 - 4/7.
2*(b - 1)*(b + 1)**2*(b + 2)/7
Factor -20 - 18*s**2 - 26 + 24*s + 3*s**3 + 3*s**2 + 34.
3*(s - 2)**2*(s - 1)
Let x be (-1 - -3)*46/5. Find k, given that -x*k**3 - 18/5*k**5 - 12*k**2 - 18/5*k - 66/5*k**4 - 2/5 = 0.
-1, -1/3
Determine f, given that -3/5*f - 3/5*f**3 + 0 - 6/5*f**2 = 0.
-1, 0
Let t = 190/9 + -21. Let a(h) be the third derivative of -2*h**2 - 5/72*h**4 + 0 + 0*h - t*h**3 - 1/60*h**5. Factor a(d).
-(d + 1)*(3*d + 2)/3
Let k = 8 - 5. Let n(o) be the third derivative of k*o**2 + 0*o + 1/210*o**5 + 0 + 0*o**4 - 1/21*o**3. Determine r, given that n(r) = 0.
-1, 1
Let o(f) be the second derivative of -f**4/24 - f**3/24 + f**2/8 - 2*f. Suppose o(z) = 0. What is z?
-1, 1/2
Let y(j) = -13*j**5 + 13*j**4 + 11*j**3 + 5*j - 5. Let s(a) = 20*a**5 - 20*a**4 - 16*a**3 - 8*a + 8. Let z(p) = 5*s(p) + 8*y(p). Solve z(h) = 0.
-1, 0, 2
Let o(v) be the first derivative of 0*v**2 + 1 - 4/33*v**3 + 0*v + 2/55*v**5 - 1/22*v**4. Solve o(d) = 0.
-1, 0, 2
Suppose 5*s - 5 = 4*s. Let y(v) be the third derivative of 0*v + 0 + 3*v**2 + 1/210*v**s - 1/105*v**6 + 0*v**4 + 0*v**3. Suppose y(w) = 0. Calculate w.
0, 1/4
Let s(n) be the first derivative of 3*n**5/20 + n**4/2 - n**3/2 - 3*n**2 + 5*n - 5. Let y(m) be the first derivative of s(m). Let y(x) = 0. Calculate x.
-2, -1, 1
Solve -8*c**2 + 4 + 6*c**2 + 2 - 2*c + 6*c = 0.
-1, 3
Suppose 2*u + 1 = 3. Let s = -3 - -5. Let -u - n - 1/4*n**s = 0. Calculate n.
-2
Let y(v) be the first derivative of 4*v**3/3 + 8*v**2 + 16*v + 6. Let y(s) = 0. What is s?
-2
Let v be 14/(-91) - 54/(-13). Let r(s) be the first derivative of -s**3 + 1 - 7/12*s**v - 1/3*s**2 + 0*s. Find x, given that r(x) = 0.
-1, -2/7, 0
Let b be (3/(-2))/(3/(-8)). Let u = b - 3. Factor -5/2*i**2 - u + 7/2*i.
-(i - 1)*(5*i - 2)/2
Let x = 428 + -2988/7. Let a(c) = -c**3 + 10*c**2 - c + 13. Let r be a(10). Factor -30/7*h**2 - 2/7 - x*h**4 - 26/7*h**r - 2*h.
-2*(h + 1)**3*(4*h + 1)/7
Let v(u) be the first derivative of u**4/3 + 2*u**3 + 4*u**2 - 5*u - 6. Let i(g) be the first derivative of v(g). Suppose i(z) = 0. What is z?
-2, -1
Let c be (-21520)/(-24) + 2/6. Let d = c - 8065/9. Factor 8/9*s - 2/9*s**2 - d.
-2*(s - 2)**2/9
Let q = 506/111 - 49249/8880. Let i = 61/16 - q. Determine g so that -16/5 - 2/5*g**3 - 12/5*g**2 - i*g = 0.
-2
Let 0 - 2 - 4*g**2 + 0*g**3 + 2*g**3 - 2*g + 6 = 0. Calculate g.
-1, 1, 2
Let f(p) be the second derivative of -p**5/100 - p**4/120 + 9*p. Factor f(y).
-y**2*(2*y + 1)/10
Suppose -4*c = l + 4, -5*c - 4 = 3*l - 13. Let v(r) = -r**3 + 9*r**2 - 8*r + 2. Let g be v(l). Factor 0 + 1/4*b - 1/2*b**g + 1/4*b**3.
b*(b - 1)**2/4
Suppose 0 = 4*c - 9 + 1. What is a in -8*a**2 - 2*a**3 + 8*a**c = 0?
0
Let f(v) = -v**3. Let j(p) = p**3 + 48*p**2 + 192*p. Let o(q) = 2*f(q) - j(q). Factor o(h).
-3*h*(h + 8)**2
Let h(o) be the third derivative of o**6/480 - o**5/24 + 23*o**2. Let h(l) = 0. Calculate l.
0, 10
Suppose 0 = 2*a - 4*v - 36, -5*a + 5*v + 72 = v. Find n, given that -30*n**2 + a*n**2 + n**3 + 8*n**2 + 8*n**2 = 0.
0, 2
Let l(v) be the second derivative of v**6/10 - 3*v**5/20 - 3*v**4/4 + 5*v**3/2 - 3*v**2 - 17*v. Solve l(b) = 0.
-2, 1
Let j be (-6)/16 - 36/(-96). Let z(c) be the second derivative of 0 - 3*c - 1/45*c**6 + 0*c**3 + 1/30*c**5 + j*c**4 + 0*c**2. What is t in z(t) = 0?
0, 1
Factor -s - 4*s**2 + 5 - s**3 - s**2 + 2*s.
-(s - 1)*(s + 1)*(s + 5)
Let b = 640/16551 - 1/613. Let o(j) be the third derivative of b*j**4 + 2*j**2 + 0 + 1/270*j**5 + 0*j + 4/27*j**3. Factor o(g).
2*(g + 2)**2/9
Suppose 5*p + 1 = 6. Let b be (p - 0)*4 + 1. Factor -9*f - 16*f**2 - 12*f**3 - 3*f**5 - 2 - 6*f**4 + 2*f**b - 2*f**3.
-(f + 1)**4*(f + 2)
Let v(f) be the second derivative of -f**7/490 - f**6/140 - f**5/140 - 5*f**2/2 + 2*f. Let d(n) be the first derivative of v(n). Factor d(p).
-3*p**2*(p + 1)**2/7
Let p(g) be the second derivative of -g**4/6 - 2*g**3/3 - 5*g. Let p(r) = 0. What is r?
-2, 0
Let i(w) be the second derivative of -1/20*w**5 + 0 - 4*w - 1/2*w**3 + 1/4*w**4 + 1/2*w**2. Solve i(f) = 0.
1
Let k be ((-54)/(-12) + -5)*-4. Factor 0 - 1/5*u - 1/5*u**k + 1/5*u**3 + 1/5*u**4.
u*(u - 1)*(u + 1)**2/5
Suppose -11 = -4*s - a, 0 - 2 = -s - a. Let -3/4*u**4 + 9/4*u**2 + 0 + 3/2*u + 0*u**s = 0. Calculate u.
-1, 0, 2
Let y(b) be the second derivative of 0*b**2 - b + 0 - 1/6*b**3 - 1/12*b**4. Factor y(h).
-h*(h + 1)
Let y be ((-1)/5)/((-16)/490). Let b(u) be the first derivative of 2*u - 6*u**2 + y*u**4 - 2 + 7/2*u**3. Factor b(x).
(x + 1)*(7*x - 2)**2/2
Let w(o) = -2*o**4 - 2*o**3 + 10*o**2 - 6*o. Let x(b) = -3*b**4 - 5*b**3 + 19*b**2 - 11*b. Let j(d) = 7*w(d) - 4*x(d). Factor j(z).
-2*z*(z - 1)**3
Suppose 3*i - 2*r = -7*r + 27, -3*i = -2*r - 6. Suppose -x - x**3 - 3*x**4 + 3*x**2 + i*x**3 - 2*x = 0. What is x?
-1, 0, 1
Let d(x) = 4*x + 4. Let v be d(5). Let l be (-9)/11*(-16)/v. Factor -2/11*a**4 - l*a**2 - 2/11*a + 0 - 6/11*a**3.
-2*a*(a + 1)**3/11
Let d(q) be the first derivative of -q**6/30 - 3*q**5/20 - q**4/6 + 4*q - 2. Let f(i) be the first derivative of d(i). Factor f(a).
-a**2*(a + 1)*(a + 2)
Let u(g) be the first derivative of 0*g + 1/2*g**2 - 2 - 1/3*g**3. Solve u(y) = 0 for y.
0, 1
Let p(c) = c**2 - c - 1. Let h(v) = v**2 - 4*v - 3. Let i be 4/10*(-1 + -4). Let q(u) = i*p(u) + h(u). Factor q(a).
-(a + 1)**2
Let b = 62 + -101.