ivative of l**3/4 + 585*l**2/4 + 114075*l/4 - 690. Factor i(c).
3*(c + 195)**2/4
Let w(f) be the first derivative of -3*f**4/8 + 13*f**3/2 + 87*f**2/4 + 45*f/2 - 84. Factor w(p).
-3*(p - 15)*(p + 1)**2/2
Suppose 11*b = 14*b - 12. Suppose 46*w + 8 + 7*w**3 + b*w**2 - 32*w - 9*w**3 = 0. What is w?
-1, 4
Let b(o) = o**2 - 6*o + 8. Let y be b(6). Let f(a) = a**2 - 6*a - 11. Let p be f(y). Factor p*t + 8*t**2 + t - 3*t**3 - 5*t**2.
-3*t*(t - 2)*(t + 1)
Let z be ((-10)/288)/(100/(-60)). Let b(w) be the third derivative of -3*w**2 - z*w**5 + 1/96*w**4 + 0*w**3 + 0 + 0*w. Factor b(x).
-x*(5*x - 1)/4
Let k(z) be the first derivative of z**4/3 + 4*z**3 + 16*z**2 + 28*z + 3. Let r(s) be the first derivative of k(s). Factor r(x).
4*(x + 2)*(x + 4)
Let u(o) be the first derivative of 55*o**3/3 - 145*o**2/2 - 60*o - 90. Suppose u(y) = 0. Calculate y.
-4/11, 3
Let y(f) be the first derivative of 9 - 2/15*f**2 - 2/15*f + 22/45*f**3 + 2/5*f**4. Find x such that y(x) = 0.
-1, -1/4, 1/3
Let k = -13649 + 40240/3. Let c = -233 - k. Factor -154/3*d**4 + 0 - 64/3*d**3 - c*d**2 - 98/3*d**5 + 0*d.
-2*d**2*(d + 1)*(7*d + 2)**2/3
Let j(y) be the second derivative of y**4/36 - y**3/9 + y**2/6 + 103*y. Let j(b) = 0. What is b?
1
Let z(p) be the second derivative of p**4/20 + 37*p**3/15 - 5*p**2/2 - 14*p + 2. Determine u so that z(u) = 0.
-25, 1/3
Let v(o) be the third derivative of -7*o**2 + 0 + 0*o**3 + 1/8*o**4 + 0*o - 1/40*o**6 + 0*o**5. Factor v(d).
-3*d*(d - 1)*(d + 1)
Let c(n) be the second derivative of -5*n**4/12 - 25*n**3/3 - 45*n**2/2 + 273*n. Find k, given that c(k) = 0.
-9, -1
Suppose -4*z = -20, z + 347 = -5*k + 1847. Let y = -297 + k. Factor 8/7 + 4/7*n**y + 12/7*n.
4*(n + 1)*(n + 2)/7
Let u(s) = -3*s**4 + 6*s**2 - 3*s. Let i(r) be the second derivative of -r**3/6 + r**2/2 - 12*r. Let x(q) = 3*i(q) - u(q). Factor x(o).
3*(o - 1)**2*(o + 1)**2
Let k(t) = -t - 7. Let h be k(-9). Factor 6*d**2 - 5*d**h + d - 2 - 2*d.
(d - 2)*(d + 1)
Factor -s + 1/2*s**2 - 3/2.
(s - 3)*(s + 1)/2
Let x be (2/(-16))/(9/(-12)). Let j(q) be the first derivative of x*q**3 + 5 - 1/2*q**2 + 1/2*q. Factor j(b).
(b - 1)**2/2
Find p such that -1/6*p**3 - 1/2*p**2 + 0*p + 0 = 0.
-3, 0
Let x(h) be the second derivative of h**8/1680 - h**6/180 + 7*h**4/12 - h. Let r(p) be the third derivative of x(p). Factor r(k).
4*k*(k - 1)*(k + 1)
Factor -9/2*n + 1/2*n**2 - 35.
(n - 14)*(n + 5)/2
Let c(v) be the first derivative of -v**8/2800 + v**6/600 - 11*v**3/3 - 8. Let k(x) be the third derivative of c(x). Factor k(z).
-3*z**2*(z - 1)*(z + 1)/5
Let w(o) be the second derivative of o**7/252 + o**6/180 - o**5/20 + o**4/36 + 5*o**3/36 - o**2/4 + 52*o. Find v, given that w(v) = 0.
-3, -1, 1
Let i = -21223 + 21253. Let i*v + 15*v**2 + 20 + 5/2*v**3 = 0. What is v?
-2
Let b(q) be the second derivative of q**5/60 + q**4/36 - 8*q**3/9 - 8*q**2/3 + 2*q + 47. Factor b(v).
(v - 4)*(v + 1)*(v + 4)/3
Let t(d) = -81*d**4 - 672*d**3 - 642*d**2 + 639*d + 723. Let j(m) = 5*m**4 + 42*m**3 + 40*m**2 - 40*m - 45. Let a(x) = -33*j(x) - 2*t(x). Factor a(q).
-3*(q - 1)*(q + 1)**2*(q + 13)
Factor 2/9 - 1/9*p - 1/9*p**2.
-(p - 1)*(p + 2)/9
Suppose -34 - 3*z**2 - 16 + 77 + 37*z - 13*z = 0. What is z?
-1, 9
Let v(o) = o**3 + 4*o**2 - 6*o - 2. Let u be v(-5). Suppose 6*g - u = -3. Factor g - 2/13*x**3 + 4/13*x**2 - 2/13*x.
-2*x*(x - 1)**2/13
Let r(v) = 17*v**2 + 36*v + 85. Let y(f) = -3*f**2 - 7*f - 16. Let k(c) = -2*r(c) - 11*y(c). Factor k(i).
-(i - 6)*(i + 1)
Suppose -3*b = -5*i - 11, -2*i = b - 3 - 8. Factor -2/3*g**i - 200/3 - 40/3*g.
-2*(g + 10)**2/3
Let n be (3990/63)/19*6/4. Let j(t) be the second derivative of 0*t**n - 9*t + 1/10*t**3 - 1/70*t**7 + 0*t**2 - 1/10*t**4 + 1/25*t**6 + 0. Factor j(m).
-3*m*(m - 1)**3*(m + 1)/5
Determine b, given that -2/13*b + 4/13*b**2 + 0 - 2/13*b**3 = 0.
0, 1
Factor 8*x + 13/2*x**2 + 1/2*x**3 - 96.
(x - 3)*(x + 8)**2/2
Let v = -6/43 + 284/1419. Let d(m) be the third derivative of 0*m**3 - 1/33*m**4 + 0 - 6*m**2 - v*m**5 + 0*m - 5/132*m**6. Determine y, given that d(y) = 0.
-2/5, 0
Let l(v) be the first derivative of 1 - 9/7*v**2 + 0*v - 1/7*v**3. Factor l(t).
-3*t*(t + 6)/7
Let v(p) = p**2 - 8*p + 2. Let t be v(8). Suppose -t*c = 2*c + 5*w - 11, -2*c + 3*w = -11. Factor -4/5*h**2 + 6/5*h**3 + 0*h + 0 - 2/5*h**c.
-2*h**2*(h - 2)*(h - 1)/5
Let d be 0*((-3 + 10 - 6) + -2). Let v(r) be the second derivative of r**4 + 0 + d*r**2 + 2/3*r**3 - 4*r. Find q such that v(q) = 0.
-1/3, 0
Let i(m) = 3*m + 6. Let r be i(0). Suppose -j - 3*v = 0, -r - 1 = -4*j - 5*v. Factor 9*p**3 - p**2 - 5*p**2 + 3*p - 3*p**2 - j*p**4.
-3*p*(p - 1)**3
Let d(c) be the first derivative of 9/4*c**2 + 0*c**3 + 3*c - 3/8*c**4 + 49. Factor d(r).
-3*(r - 2)*(r + 1)**2/2
Suppose -4*s = -7*g + 3*g + 8, -2*s - 4*g = -20. Factor -22*c**2 - 14*c**s + 0*c**4 + 33*c**2 + 3*c**4.
3*c**2*(c - 1)*(c + 1)
Let q be 2 - (4 - (-3 + (-15)/(-3))). Find g such that 15*g - 11*g**2 + q*g**3 - 3*g**3 - g**2 + 0*g**3 = 0.
-5, 0, 1
Let j be (-4 - (-84)/24)*3/(-3). Suppose -j*d**2 - d + 0 = 0. What is d?
-2, 0
Let l(a) be the second derivative of -a**5/2 - 11*a**4/6 - 2*a**3 - 2*a - 49. Determine v so that l(v) = 0.
-6/5, -1, 0
Factor -4014*f**3 + 2008*f**3 + 16*f - 12*f**2 + 2002*f**3.
-4*f*(f - 1)*(f + 4)
Let v(q) be the third derivative of 0 - 1/10*q**5 + 0*q**4 + 1/60*q**6 + 4/3*q**3 - 2*q**2 + 0*q. Factor v(x).
2*(x - 2)**2*(x + 1)
Let l(t) = -t**2 + 9*t + 3. Let z be l(9). Find d, given that 20*d**2 - 4*d**2 - 8*d**2 + 10 + 15*d - z*d**2 = 0.
-2, -1
Suppose 0 = v + 5, 5*h + 3*v = -0*h. Factor 2*x**3 + 9*x - 8*x**2 - 2*x**h + x**3 + 4*x - 6.
(x - 6)*(x - 1)**2
Suppose -128*g + 64*g**3 - 128*g**3 - 10*g**2 + 62*g**3 - 22*g**2 = 0. Calculate g.
-8, 0
Let t(a) be the first derivative of -1/7*a**3 + 3/28*a**4 + 12 - 3/7*a**2 + 0*a. Let t(p) = 0. Calculate p.
-1, 0, 2
Let x = 4 - 10. Let a be x/(-27) - 64/(-36). Solve 4 - n + 5*n + n**2 + 4*n**2 - 4*n**a = 0 for n.
-2
Suppose -d + 12 = 2*d. Let j(x) = -x**4 + x**3 + 3*x**2 + 3*x. Let v(k) = k**4 - 3*k**2 - 2*k. Let c(w) = d*j(w) + 6*v(w). Factor c(l).
2*l**2*(l - 1)*(l + 3)
Let l(b) = b**3 + 9*b**2 + 5*b - 20. Let h be l(-8). Factor -6/7*i**3 - 2/7*i - 2/7*i**h + 0 - 6/7*i**2.
-2*i*(i + 1)**3/7
Let n(c) be the first derivative of c**6/30 - c**4/2 - 4*c**3/3 - 3*c**2/2 + 10*c - 14. Let p(r) be the first derivative of n(r). Factor p(f).
(f - 3)*(f + 1)**3
Let p(b) be the third derivative of b**7/98 + 13*b**6/280 + b**5/35 - b**4/14 - 62*b**2. Find t, given that p(t) = 0.
-2, -1, 0, 2/5
Let m(p) be the first derivative of -1/19*p**2 + 3/38*p**4 + 0*p + 2/57*p**6 + 2/19*p**5 - 2/57*p**3 - 18. Factor m(r).
2*r*(r + 1)**3*(2*r - 1)/19
Let n(a) be the second derivative of 0*a**2 - 3/40*a**5 + 0 + 0*a**4 - 13*a + 1/3*a**3 - 1/60*a**6. Solve n(g) = 0.
-2, 0, 1
Let z(p) be the second derivative of -2*p**6/3 - 9*p**5/5 - p**4 + 2*p**3/3 + 179*p. Find r such that z(r) = 0.
-1, 0, 1/5
Suppose -y = -5*g + 23, 4*g + 5*y - 17 = 13. Suppose w**4 + 10*w**3 - 10*w**3 + 4*w**5 - 5*w**g = 0. Calculate w.
0, 1
Let p be 22/((-8470)/(-759)) + 5 + (-234)/42. Factor -z**5 + 0*z + 0*z**2 + p*z**4 + 0 - 2/5*z**3.
-z**3*(z - 1)*(5*z - 2)/5
Let b(g) be the third derivative of -g**5/60 - 13*g**4/24 - 11*g**3/3 + 132*g**2. Determine j so that b(j) = 0.
-11, -2
Let r(h) be the first derivative of -2/9*h**4 - 8/9*h + 4/9*h**2 + 2/45*h**5 - 11 + 2/9*h**3. Find j such that r(j) = 0.
-1, 1, 2
Let d be (-1)/(-2) + (-9 - (-450)/12). Suppose -23*i + d*i - 18 = 0. Suppose -1/2*u**4 + 1/3*u**i - 5/6*u**5 + 0*u + 0*u**2 + 0 = 0. Calculate u.
-1, 0, 2/5
Let q(y) be the first derivative of y**5/20 - y**4/16 - 5*y**3/2 + 4*y**2 + 40*y + 481. Factor q(x).
(x - 4)**2*(x + 2)*(x + 5)/4
Let p(r) be the first derivative of r**5/210 + 2*r**4/21 + r**3/3 - 7*r**2/2 + 4. Let x(h) be the second derivative of p(h). Factor x(k).
2*(k + 1)*(k + 7)/7
Determine y so that -3/2 - 11/2*y + 23/8*y**2 + 29/8*y**3 + 1/2*y**4 = 0.
-6, -2, -1/4, 1
Solve 480/11*k + 2/11*k**2 + 28800/11 = 0.
-120
Let h be ((-152)/285)/(-1 - 6/(-10)). Find y such that -1/2*y**5 - 13/6*y**4 + 0 + 2/3*y**2 - 7/3*y**3 + h*y = 0.
-2, -1, 0, 2/3
Suppose 5*l = -5*w + 20, -5*l + 2*w - 30 + 22 = 0. Let 0*i - 1/4*i**5 + i**4 + l - i**3 + 0*i**2 = 0. What is i?
0, 2
Let u = 2 - -2. Let v