 l**7/420 - l**6/120 + l**5/120 + 31*l**2/2 - 15*l. Let z(a) be the first derivative of x(a). Factor z(r).
r**2*(r - 1)**2/2
Factor 8*f + 5*f**4 + 4*f**2 - 6*f**3 - 12*f + 19*f**3.
f*(f + 1)*(f + 2)*(5*f - 2)
Let q = 29 - 13. Factor 0*d**3 + 48 - 16 - q*d - 14*d**2 - 2*d**3.
-2*(d - 1)*(d + 4)**2
Let g = -32631 + 424461/13. Find m, given that -g*m**2 - 8/13 - 266/13*m**3 - 80/13*m + 16/13*m**4 + 96/13*m**5 = 0.
-1, -2/3, -1/4, 2
Let y(l) be the first derivative of -3*l**5/8 - 9*l**4/32 + 15*l**3/8 + 57*l**2/16 + 9*l/4 + 61. Let y(t) = 0. Calculate t.
-1, -3/5, 2
Let g(d) = d**3 + 3*d**2 - 6*d - 14. Let z be g(-3). Let y(b) be the second derivative of 0 - 1/24*b**z - 1/4*b**3 - 1/2*b**2 + 8*b. Solve y(p) = 0 for p.
-2, -1
Let x be (5/(-55))/(0 + 5 + 204/(-40)). Let 2/11*d**2 - x*d + 8/11 = 0. Calculate d.
1, 4
Let q(c) be the second derivative of -3/5*c**5 + 0*c**4 + 8/3*c**3 + 0*c**2 - 2/15*c**6 - c + 0. Factor q(x).
-4*x*(x - 1)*(x + 2)**2
Let r(l) be the third derivative of -1/4*l**5 + 0*l + 0 + 3*l**3 - 6*l**2 + 13/8*l**4. Factor r(y).
-3*(y - 3)*(5*y + 2)
Let x(f) be the first derivative of f**3/18 + 35*f**2/6 + 1225*f/6 - 14. Factor x(d).
(d + 35)**2/6
Let z = 113 + -111. Factor -4*b**2 + z*b**4 - 16 + 10 + 8.
2*(b - 1)**2*(b + 1)**2
Let 18*c**5 + 7*c**5 + 6*c**4 - 28*c**5 - 21*c - 12 + 6*c**2 + 24*c**3 = 0. Calculate c.
-1, 1, 4
Let d(j) be the first derivative of -2*j**5/15 + 7*j**4/6 - 10*j**3/3 + 13*j**2/3 - 8*j/3 + 27. Factor d(o).
-2*(o - 4)*(o - 1)**3/3
Let d(a) be the first derivative of -10*a**3/27 + 107*a**2/9 - 28*a/3 - 4. Find g, given that d(g) = 0.
2/5, 21
Let k(x) = -x + 1. Let v(b) = -5*b**3 + 15*b**2 - 12*b + 2. Let h(u) = 2*k(u) - v(u). Factor h(f).
5*f*(f - 2)*(f - 1)
Suppose 12/19 + 2/19*q - 10/19*q**2 = 0. Calculate q.
-1, 6/5
Let z(p) be the first derivative of -28*p**3/3 + 256*p**2 - 144*p - 8. Factor z(k).
-4*(k - 18)*(7*k - 2)
Let m be (-6*(-6)/72)/10. Let t(s) be the third derivative of 0*s - s**2 + 0 - 3/8*s**4 + m*s**5 + s**3. Let t(h) = 0. What is h?
1, 2
Factor 5*x**2 + 168 - 5*x**3 - 168.
-5*x**2*(x - 1)
Suppose -3*w + 2*g + 0 = -10, 0 = 4*g + 20. Factor 1/2 - 1/8*q**3 - 3/8*q**2 + w*q.
-(q - 1)*(q + 2)**2/8
Let c(j) be the first derivative of -j**9/4032 - j**8/2240 + j**7/560 + j**3/3 + 4. Let y(x) be the third derivative of c(x). Determine i, given that y(i) = 0.
-2, 0, 1
Let b(s) = -s**2 - 7*s + 3. Let o be b(-7). Let r be ((-1)/(o/(-6)))/1. Find c such that -3*c**4 - 3*c**r + 7*c**2 - c**2 = 0.
-1, 0, 1
Factor -100/3*a + 5 + 85/3*a**2.
5*(a - 1)*(17*a - 3)/3
Factor -52/7*s + 4/7*s**3 + 40/7 + 8/7*s**2.
4*(s - 2)*(s - 1)*(s + 5)/7
Let v = -607/425 - -27/17. Let f(z) be the first derivative of -4/15*z**3 + 0*z + 2/5*z**4 - 4/5*z**2 + v*z**5 + 1. Factor f(d).
4*d*(d - 1)*(d + 1)*(d + 2)/5
Let m be 0*(5/((-10)/(-7)) + -4). Let n(j) be the first derivative of 10 + m*j - 1/15*j**5 - 1/3*j**4 - 5/9*j**3 - 1/3*j**2. Determine p so that n(p) = 0.
-2, -1, 0
Let n(z) = -z**3 + z + 1. Let q(d) = 5*d**4 - 16*d**3 + 6*d + 6. Let v(u) = 6*n(u) - q(u). Solve v(g) = 0 for g.
0, 2
Let h be (-945)/810 - (-26)/20. Let o(d) be the third derivative of 1/3*d**3 + 0 - 5/12*d**4 + h*d**5 + 8*d**2 + 0*d. Factor o(j).
2*(j - 1)*(4*j - 1)
Let f(g) be the second derivative of 10*g + 1/25*g**5 - 1/3*g**3 + 0 - 1/30*g**4 - 2/5*g**2. Factor f(o).
2*(o - 2)*(o + 1)*(2*o + 1)/5
What is t in -3472*t**2 - 70*t**3 - 35*t**4 + 1734*t**2 + 45 + 75*t + 1728*t**2 - 5*t**5 = 0?
-3, -1, 1
Let j(t) be the second derivative of -t**4/12 + 64*t**3/3 - 2048*t**2 + 389*t. Let j(i) = 0. Calculate i.
64
Let t(r) be the third derivative of r**6/540 + 29*r**5/270 + 56*r**4/27 + 196*r**3/27 + 34*r**2. Factor t(b).
2*(b + 1)*(b + 14)**2/9
Let a = 20 - 15. Factor -7*m + m**3 - 7*m**2 + 2*m**3 - 2 + a.
(m - 3)*(m + 1)*(3*m - 1)
Let h(z) be the second derivative of z**7/2100 - 2*z**6/675 + z**5/225 - 19*z**3/6 - 6*z. Let b(s) be the second derivative of h(s). What is w in b(w) = 0?
0, 2/3, 2
Let g be 112*(-3)/18*1/(-8). Let 1/3 + 2/3*u**4 + g*u**3 + 3*u**2 + 5/3*u = 0. Calculate u.
-1, -1/2
Let u(i) be the third derivative of -1/2*i**4 + 0*i**3 - 1/15*i**5 + 2/105*i**7 + 0 + i**2 + 1/10*i**6 + 0*i. Let u(l) = 0. What is l?
-3, -1, 0, 1
Let b(t) be the first derivative of 1/15*t**6 + 0*t - 6 - 1/10*t**4 - 2/15*t**3 + 2/25*t**5 + 0*t**2. Factor b(s).
2*s**2*(s - 1)*(s + 1)**2/5
Determine q so that 17 + 12*q**4 - 23*q - 81*q**3 - 43 + 13*q - 17*q + 11 + 111*q**2 = 0.
-1/4, 1, 5
Let w be 1 - 5/((-5)/3). Suppose 3*a - w = 2*a. Factor -h**5 - 2 - 4*h**3 + 11*h + 3*h**2 + 3*h**4 - 6*h - 5*h**2 + h**a.
-(h - 2)*(h - 1)**3*(h + 1)
Suppose -15*a = -153 + 48. Let x be 81/a - 7/1. Find k, given that -2/7*k**5 - 50/7*k**2 - 2*k**4 - 38/7*k**3 - 8/7 - x*k = 0.
-2, -1
Let w = -3229 + 3229. Factor -18/7*b**2 + 0 - 2/7*b**4 - 12/7*b**3 + w*b.
-2*b**2*(b + 3)**2/7
Let i(l) be the first derivative of -l**4/14 - 2*l**3/21 + l**2/7 + 2*l/7 - 84. Let i(g) = 0. What is g?
-1, 1
Let w(z) = -z**4 - z**3 - z**2 - z. Let a(l) = 8*l**4 + 22*l**3 + 6*l**2 + 6*l. Let b(x) = -a(x) - 6*w(x). Factor b(u).
-2*u**3*(u + 8)
Let l(n) be the third derivative of n**7/315 + n**6/36 + n**5/30 - n**4/4 + 166*n**2. Factor l(b).
2*b*(b - 1)*(b + 3)**2/3
Determine o so that 48/7*o + 576/7 + 1/7*o**2 = 0.
-24
Suppose -4/3*m + 1/6*m**4 + 2*m**2 + 0 - m**3 = 0. What is m?
0, 2
Let o(z) be the first derivative of -7 + 0*z + z**4 + 0*z**2 - 8/3*z**3. Find f, given that o(f) = 0.
0, 2
Let b(t) = t**5 - t**4 - t**3 + t**2 + 2*t - 1. Let j(h) = -7*h**5 + 16*h**4 - 11*h**3 + 2*h**2 - 16*h + 8. Let s(l) = 24*b(l) + 3*j(l). Factor s(d).
3*d**2*(d - 1)**2*(d + 10)
Factor 5*y**3 + 105072*y + 0*y**2 - 20 + 5*y**2 - 105092*y.
5*(y - 2)*(y + 1)*(y + 2)
Let j(y) be the third derivative of -5*y**8/336 + 8*y**7/21 - y**6/24 - 235*y**5/6 - 1595*y**4/6 - 2420*y**3/3 - 387*y**2. Let j(s) = 0. Calculate s.
-2, 11
Let v(p) = -15*p**3 + 3*p**2 + 2*p + 2. Let r(j) = 60*j**3 - 11*j**2 - 9*j - 9. Let x(m) = 2*r(m) + 9*v(m). Suppose x(o) = 0. Calculate o.
0, 1/3
Let x(k) be the second derivative of -3*k**5/20 - k**4 - 5*k**3/2 - 3*k**2 - 10*k - 2. Suppose x(r) = 0. Calculate r.
-2, -1
Let c(n) = -6*n**5 - 4*n**4 - 5*n**3 + 5*n**2 - 5*n. Let t(u) = 5*u**2 + u**5 + u**3 + 2*u + 0*u**3 - 6*u**2 + u**4 - u. Let b(v) = -c(v) - 5*t(v). Factor b(g).
g**4*(g - 1)
Determine y, given that 380*y - 12*y**2 - 398*y + 10*y**2 + 20 = 0.
-10, 1
Let c(h) = 4*h + 42. Let y be c(-10). Factor -16*g + 2*g - 18*g - 4*g**3 + 2*g**3 + 16*g**y.
-2*g*(g - 4)**2
Let j(v) be the first derivative of -2*v**3/27 + 10*v**2/9 - 2*v + 53. Factor j(b).
-2*(b - 9)*(b - 1)/9
Let n be ((-20)/15)/(2/(-6)). Suppose -5*v + 24 = 4*d, 0*v - 4*d - n = -2*v. Let s**5 - 4*s**5 + 2*s**5 - 2*s**3 - 3*s**v = 0. Calculate s.
-2, -1, 0
Let i be 21/6*72/42. Let s(o) be the first derivative of 2*o - o**2 + o**4 - 4/3*o**3 + 2/5*o**5 - 1/3*o**i - 4. Factor s(l).
-2*(l - 1)**3*(l + 1)**2
Let t(d) = -2*d + 37. Let z be (-3)/7 + (-575)/(-35). Let i be t(z). Suppose 4*u**5 - u - i*u**3 + u + u**5 = 0. Calculate u.
-1, 0, 1
Let h = -395/11 + 6859/176. Let m(l) be the first derivative of 0*l + h*l**4 + 7/3*l**3 - 3 + 1/2*l**2. Let m(d) = 0. What is d?
-2/7, 0
Let t(r) be the first derivative of r**7/1050 - r**6/600 - 17*r**2 - 32. Let u(v) be the second derivative of t(v). Let u(l) = 0. Calculate l.
0, 1
Let p(c) = -500*c**3 - 76*c**2 + 396*c + 204. Let v(n) = -100*n**3 - 15*n**2 + 79*n + 41. Let r(d) = 5*p(d) - 24*v(d). Factor r(l).
-4*(l - 1)*(5*l + 3)**2
Let u be 6/18 - 2*(-3)/(-21). Let i(w) be the second derivative of 0 + 0*w**2 + 1/42*w**4 + 12*w + u*w**3. Factor i(y).
2*y*(y + 1)/7
Let l(h) = -h**4 + 100*h**3 + 150*h**2 - 111*h - 138. Let i(v) = -20*v**3 - 30*v**2 + 22*v + 28. Let m(j) = 22*i(j) + 4*l(j). Let m(f) = 0. Calculate f.
-8, -2, -1, 1
Let a = -103 + 2061/20. Let g(o) be the first derivative of a*o**4 + 0*o**2 + 0*o - 1/25*o**5 + 2/15*o**3 + 6. Factor g(z).
-z**2*(z - 2)*(z + 1)/5
Let w(r) be the second derivative of r**6/75 + 7*r**5/10 - r**4/10 - 107*r**3/15 - 14*r**2 - 492*r + 2. Determine n so that w(n) = 0.
-35, -1, 2
Let f(z) be the second derivative of 0*z**4 + 0 + 3*z + 0*z**3 - 1/60*z**5 + z**2. Let v(u) be the first derivative of f(u). Determine n so that v(n) 