irst derivative of 3/2*a**2 - 5 - 1/6*a**3 + 1/6*a**4 + 0*a - 1/15*a**5. Let w(c) be the second derivative of r(c). Factor w(z).
-(2*z - 1)**2
Factor -7*u - 15/2 + 1/2*u**2.
(u - 15)*(u + 1)/2
Let x(i) be the first derivative of i**3 - 33*i**2/2 + 90*i - 207. Factor x(h).
3*(h - 6)*(h - 5)
Let c(y) be the first derivative of 10 + 12/5*y**2 - 1/15*y**3 - 144/5*y. Let c(n) = 0. Calculate n.
12
Let u(v) be the first derivative of -2*v**5/15 - 4*v**4/3 - 38*v**3/9 - 4*v**2 - 289. Factor u(m).
-2*m*(m + 1)*(m + 3)*(m + 4)/3
Let m(l) = -l**2 + 6*l + 2. Let a be m(6). Suppose 5*o - 59 = -3*j - 25, -4*j = 2*o - 22. Factor 0*d - 3/5*d**4 + 0 + 3/5*d**a - 3/5*d**5 + 3/5*d**j.
-3*d**2*(d - 1)*(d + 1)**2/5
Factor 4/5*k**4 - 28/5*k**2 - 8/5*k**3 - 16/5*k + 0.
4*k*(k - 4)*(k + 1)**2/5
Let h be 60/(-5) + (-284)/(-12). Factor 10/3*u**2 + 20/3 + 5/3*u**3 - h*u.
5*(u - 1)**2*(u + 4)/3
Let m = -1693025/48 + 35270. Let y = -11/16 - m. Factor 0*c + 0 + y*c**3 + 2/3*c**4 - 4/3*c**2.
2*c**2*(c - 1)*(c + 2)/3
Let c(z) be the second derivative of 0 + 7/110*z**5 - 8*z + 0*z**2 + 3/11*z**3 + 1/165*z**6 + 5/22*z**4. Factor c(i).
2*i*(i + 1)*(i + 3)**2/11
Let g(l) be the third derivative of -1/10*l**7 + 1/112*l**8 + 0 + 0*l + 14*l**2 + 0*l**3 + 3/4*l**4 + 17/40*l**6 - 17/20*l**5. Find b, given that g(b) = 0.
0, 1, 2, 3
Let b = -4605 - -32246/7. Factor -36/7 + b*x**2 + 1/7*x**3 + 24/7*x.
(x - 1)*(x + 6)**2/7
Let i(n) be the third derivative of n**8/560 + 2*n**7/525 - n**6/600 - n**5/150 - n**2. Factor i(v).
v**2*(v + 1)**2*(3*v - 2)/5
Find j, given that -5*j**4 - 9*j**4 - 35*j**3 + 25*j**2 + 4*j**4 + 20*j = 0.
-4, -1/2, 0, 1
Let h(y) be the third derivative of y**7/70 - y**6/10 + 3*y**5/20 + y**4/2 - 2*y**3 + 211*y**2. Find p such that h(p) = 0.
-1, 1, 2
Let g(w) = 21*w - 585. Let n be g(28). Find s such that -1/2*s**5 + 0 - 9/2*s**n + 5/2*s**4 + 7/2*s**2 - s = 0.
0, 1, 2
Let r(z) be the third derivative of -z**7/105 + z**6/18 - 2*z**5/15 + z**4/6 - z**3/9 + 160*z**2. Let r(n) = 0. Calculate n.
1/3, 1
Let r(q) be the second derivative of q**5/80 - q**4/24 - q**3/3 + 90*q. What is d in r(d) = 0?
-2, 0, 4
Let m(h) = h**2. Let l(c) = 4*c**2 - 2*c. Let o(q) = q + 23. Let a be o(-8). Let r(t) = a*m(t) - 3*l(t). Suppose r(u) = 0. What is u?
-2, 0
Suppose 752/23*z**3 - 50/23*z**5 - 160/23 - 16*z**2 - 672/23*z - 90/23*z**4 = 0. What is z?
-5, -2/5, 2
Let p(z) be the first derivative of -z**8/112 + 2*z**7/35 - z**6/8 + z**5/10 - 7*z**2/2 - 13. Let d(w) be the second derivative of p(w). Factor d(r).
-3*r**2*(r - 2)*(r - 1)**2
Let f(u) be the first derivative of u**5/12 + 5*u**4/6 + 5*u**3/2 + 2*u**2 - 17. Let t(z) be the second derivative of f(z). Suppose t(i) = 0. What is i?
-3, -1
Find k, given that 10/17*k - 2/17 + 12/17*k**2 = 0.
-1, 1/6
Solve -8/9*s**5 - 2/9*s**2 + 0*s + 0 + 14/9*s**4 - 4/9*s**3 = 0 for s.
-1/4, 0, 1
Let f(g) be the third derivative of -g**8/13440 - g**7/3360 + g**6/80 + g**5/60 + 4*g**2. Let z(i) be the third derivative of f(i). Factor z(b).
-3*(b - 2)*(b + 3)/2
Let s = 1843/3 + -606. Let 15*d**3 + 0 + s*d**4 + 4/3*d + 8*d**2 = 0. What is d?
-1, -2/5, 0
Let d(a) be the third derivative of 3/4*a**3 - 5/32*a**4 - 1/60*a**5 + 0 + 1/120*a**6 + 0*a - a**2. Determine n so that d(n) = 0.
-2, 3/2
Let z = 254 + -250. Let a(q) be the third derivative of 0*q**3 + 5*q**2 + 1/40*q**5 + 0*q - 1/80*q**6 + 0 + 0*q**z. Find t such that a(t) = 0.
0, 1
Let p(k) = k**3 + 1. Let g(h) = 2*h - 28. Let a be g(16). Let n(f) = 5*f**3 - f + 4. Let d(q) = a*p(q) - n(q). Suppose d(x) = 0. What is x?
-1, 0, 1
Suppose -4*m = -46 - 2. Factor -2 + 2 - 16*r + 40*r**2 - 8*r**3 - 4*r**4 - m*r**2.
-4*r*(r - 1)**2*(r + 4)
Let t be (6/(-4))/(10/(-20)). Let a(b) be the first derivative of -2*b - 2/3*b**t + 2 + 2*b**2. Suppose a(o) = 0. Calculate o.
1
Let v be (30/(-4) - -7)*-4. Let c(z) be the third derivative of 0*z - 1/3*z**3 - 10*z**v + 1/24*z**4 + 0 + 1/60*z**5. Factor c(a).
(a - 1)*(a + 2)
Let t(x) be the first derivative of x**6/63 - 8*x**5/35 + 53*x**4/42 - 212*x**3/63 + 32*x**2/7 - 64*x/21 + 235. Determine f so that t(f) = 0.
1, 2, 4
Let x be (-906)/(-180) - 20/4. Let u(z) be the third derivative of 0 - 1/120*z**6 + 0*z + 0*z**4 + 0*z**3 + 3*z**2 + x*z**5. Suppose u(d) = 0. Calculate d.
0, 2
Let f be (-6)/45*3/(-2). Let w(m) = -3*m - 9. Let a be w(-3). Factor 0*t**2 + a*t - f*t**3 + 0.
-t**3/5
Let g be ((-5)/(-10))/((-2)/(-28)). Suppose -g*d**3 + 59*d**2 - 3*d**3 - 54*d**2 - 15*d**4 = 0. Calculate d.
-1, 0, 1/3
Let d(c) be the first derivative of c**6/900 - c**4/45 - 3*c**2/2 + c + 28. Let y(w) be the second derivative of d(w). Find o such that y(o) = 0.
-2, 0, 2
Let z be 8/140*7/40. Let k(u) be the third derivative of 0*u + 4*u**2 + 0*u**3 + z*u**5 - 1/600*u**6 + 0 - 1/60*u**4. Factor k(b).
-b*(b - 2)*(b - 1)/5
Let n(k) be the first derivative of -k**7/147 + k**6/35 - 3*k**5/70 + k**4/42 - 12*k + 16. Let d(s) be the first derivative of n(s). Let d(v) = 0. Calculate v.
0, 1
Suppose 21 = -3*r + 2*o + 43, -3*r = 3*o + 18. Determine s, given that 12/7*s + 3/7*s**3 - 4/7 - 11/7*s**r = 0.
2/3, 1, 2
Let q(d) = -4*d**3 - 64*d**2 + 170*d - 110. Let a(f) = 15*f**3 + 193*f**2 - 509*f + 329. Let b(l) = -4*a(l) - 14*q(l). Factor b(u).
-4*(u - 28)*(u - 2)*(u - 1)
Let l(a) be the third derivative of 0*a + 0*a**3 - 1/150*a**7 + 0 - 3*a**2 - 1/15*a**5 - 23/600*a**6 - 1/30*a**4. Factor l(c).
-c*(c + 1)*(c + 2)*(7*c + 2)/5
Let m(y) be the third derivative of y**6/24 - 2*y**4/3 - 16*y**2. Let j(u) = u**3 - 3*u. Let v(i) = 33*j(i) - 6*m(i). Factor v(w).
3*w*(w - 1)*(w + 1)
Let j(s) = s**2 - s + 1. Let u(h) = 8*h**2 - 2*h + 8. Let y(g) = 6*j(g) - u(g). Factor y(a).
-2*(a + 1)**2
Suppose 5*j - 52 = 4*u, 4*j - 3*u + 11 = 52. Suppose j = 7*g - 5*g. Solve -5*i**3 + 16*i**3 - 6*i**3 - 5*i**g = 0 for i.
0, 1
Suppose -7*a = -83*a + 152. Factor 0 + 2/15*f**3 - 2/15*f**4 + 2/3*f**a + 2/5*f.
-2*f*(f - 3)*(f + 1)**2/15
Let u = -8492 + 93510/11. Suppose 0 = -12022*m + 12017*m. Factor 252/11*f**4 + u*f**5 + 0*f + m + 16/11*f**2 + 120/11*f**3.
2*f**2*(f + 2)*(7*f + 2)**2/11
Let s(y) = -1080*y**3 - 1060*y**2 - 253*y + 8. Let n(o) = -2160*o**3 - 2120*o**2 - 505*o + 15. Let r(z) = 3*n(z) - 5*s(z). Factor r(c).
-5*(2*c + 1)**2*(54*c - 1)
Let u be (-35)/45 + (-4)/18. Let q(f) = 3*f**2 + 6*f - 3. Let c(y) = y - 1. Let z(l) = u*q(l) + 3*c(l). Factor z(x).
-3*x*(x + 1)
Let h = 196 + -305. Let m = 112 + h. Determine w, given that 2/5*w**m + 0 + 4/5*w**2 + 2/5*w = 0.
-1, 0
Suppose -14*n - o = -20*n + 18, 0 = -4*n + 5*o + 38. Let 2/3*h**n + 2 + 8/3*h = 0. What is h?
-3, -1
Let j(p) be the third derivative of 2*p**7/525 + 3*p**6/25 + 39*p**5/25 + 54*p**4/5 + 216*p**3/5 + 11*p**2. Determine b so that j(b) = 0.
-6, -3
Suppose 0 = -115*h + 116*h - 5. Solve h*n**4 - 2*n**4 - 5*n**5 + 2*n**5 = 0.
0, 1
Let c(l) be the second derivative of 27*l - 1/40*l**5 - 7/24*l**4 + 2/3*l**3 + 0 + 0*l**2. Factor c(u).
-u*(u - 1)*(u + 8)/2
Let x(z) be the first derivative of z**6/3 - 14*z**5/5 + 4*z**4 + 32*z**3/3 + 137. Determine q, given that x(q) = 0.
-1, 0, 4
Let f(r) be the third derivative of -1/60*r**6 + 0*r**5 - 1/336*r**8 + 9*r**2 + 0 + 1/70*r**7 + 0*r**4 + 0*r + 0*r**3. Factor f(q).
-q**3*(q - 2)*(q - 1)
Let i(w) = w**3 + 9*w**2 + 12*w - 10. Let u be i(-7). Factor -5*d**2 + 35*d**4 + d**2 - 39*d**u - 8*d**3.
-4*d**2*(d + 1)**2
Let j(t) be the third derivative of 2*t**7/35 + 7*t**6/30 - 2*t**4/3 - 141*t**2. Determine r so that j(r) = 0.
-2, -1, 0, 2/3
Suppose h = 2*t + 1016, -3681 = -4*h + 2*t + 377. Let l be 4/26 + 1196/h. Find b, given that 4/3*b + 2/3*b**2 + 1/3*b**4 - l*b**3 - 1 = 0.
-1, 1, 3
Let x be 4/6 + 6*(-10)/180. Let a = 3 + -1. Factor d - d**a - 1/3 + x*d**3.
(d - 1)**3/3
Suppose 0 = -106*r - 29*r. Let w(m) be the third derivative of 1/15*m**5 + r*m + 0 + 1/60*m**6 + 8*m**2 + 1/12*m**4 + 0*m**3. Factor w(q).
2*q*(q + 1)**2
Let i(v) = -12*v**5 - 3*v**4 - 7*v**3 + 12*v**2 + 5*v + 5. Let c(w) = 5*w**5 + 2*w**4 + 3*w**3 - 6*w**2 - 2*w - 2. Let b(g) = 15*c(g) + 6*i(g). Factor b(y).
3*y**2*(y - 1)*(y + 2)*(y + 3)
Let a = -831 + 835. Let j(z) be the second derivative of 40/3*z**a + 0*z**2 - 5*z + 0 - 5*z**5 - 32/3*z**3. Factor j(g).
-4*g*(5*g - 4)**2
Let m(p) be the second derivative of -p**6/240 - p**5/40 - p**4/24 + 7*p**2/2 + 13*p. Let 