etermine t so that w(t) = 0.
-1, 1/5, 2
Let x = 6 - 287/48. Let p(w) be the second derivative of 0*w**3 + 0 + 0*w**2 - 1/80*w**5 + w - x*w**4. Solve p(r) = 0 for r.
-1, 0
Suppose -5*t = -t - 48. Factor -6*l - t*l**3 - 3*l**4 + 3*l**2 - 18*l**2 + 0*l.
-3*l*(l + 1)**2*(l + 2)
Let n(p) be the second derivative of 5*p**7/42 + 2*p**6/3 + 3*p**5/2 + 5*p**4/3 + 5*p**3/6 + 19*p. Factor n(h).
5*h*(h + 1)**4
Let b(j) be the second derivative of -7/9*j**3 + 4*j - 17/30*j**5 + 1/3*j**2 + 0 + 2/15*j**6 + 17/18*j**4. Solve b(g) = 0.
1/3, 1/2, 1
Let r(v) = 12*v**4 + 8*v**3 - 32*v**2 - 8*v + 12. Let u(b) = 4*b**4 + 3*b**3 - 11*b**2 - 3*b + 4. Let k(x) = 3*r(x) - 8*u(x). Factor k(t).
4*(t - 1)**2*(t + 1)**2
Let c(w) be the third derivative of -w**6/200 - 11*w**5/300 - w**4/10 - 2*w**3/15 - 2*w**2. Factor c(o).
-(o + 1)*(o + 2)*(3*o + 2)/5
Suppose 0 + 14/9*x**5 + 2*x**4 - 2*x**2 - 10/9*x**3 - 4/9*x = 0. Calculate x.
-1, -2/7, 0, 1
Let b = -87/5 - -266/15. Find x, given that 0 - 1/3*x + b*x**2 = 0.
0, 1
Determine j, given that 0 + 0*j**2 + 1/2*j**3 - 3/2*j**5 + 0*j + j**4 = 0.
-1/3, 0, 1
Let f(s) be the first derivative of -1/360*s**5 + 1/1080*s**6 - 2/3*s**3 + 0*s + 2 + 0*s**2 + 0*s**4. Let x(m) be the third derivative of f(m). Factor x(q).
q*(q - 1)/3
Let w = -18/65 - -1108/715. Determine b so that -w*b**2 - 4/11 - 18/11*b = 0.
-1, -2/7
Let s(k) = -k**2 - k + 12. Let h be s(-5). Let w = h - -25/3. Factor w*x**3 + 1/3*x**4 - 1/3*x**2 + 0 - 1/3*x.
x*(x - 1)*(x + 1)**2/3
Suppose -7 = 3*r + 4*h, 2*r = 4*r - 4*h - 22. Let v be (-13)/(-4) + r/(-12). Factor v*z**2 - 4*z - 3*z**4 + 4*z + z**3 + z**5 - 2*z.
z*(z - 2)*(z - 1)**2*(z + 1)
Let n(f) be the first derivative of -6*f - 1 + f**3 + 2 - 6*f + 0*f**3. Factor n(i).
3*(i - 2)*(i + 2)
Factor 1/5*z**2 - 2/5*z + 1/5.
(z - 1)**2/5
Let n(b) = -4*b**2 + 35*b - 64. Let d(l) = -12*l**2 + 104*l - 192. Let i(y) = 3*d(y) - 8*n(y). Solve i(a) = 0.
4
Let i(g) be the first derivative of -g**6/180 - g**5/60 + 5*g - 3. Let t(c) be the first derivative of i(c). Factor t(h).
-h**3*(h + 2)/6
Let 1/4*l**3 + 1/4*l + 0 - 1/2*l**2 = 0. Calculate l.
0, 1
Let k(s) be the first derivative of 5*s**6/2 + 21*s**5/5 + 3*s**4/2 - 10. Let k(j) = 0. Calculate j.
-1, -2/5, 0
Let w be ((-6)/(-9))/((-2)/(-3)). Let a be 104/6 + (0 - w). Factor 4/3*t - a*t**2 + 4/3 - 49/3*t**3.
-(t + 1)*(7*t - 2)*(7*t + 2)/3
Suppose -2*k + 7 + 1 = 0. Suppose 2*x + 8 = -4*c - 2*x, -x = k. Solve -2/7*a**c + 2/7 + 0*a = 0.
-1, 1
Let u be (-3 - (-42)/2) + -3. Factor -h + 7*h**2 + 2 - 5*h - u*h**2 + 0*h.
-2*(h + 1)*(4*h - 1)
Let h(n) = -n**2 - 17*n + 18. Let p be h(-18). Let y(c) be the third derivative of 0*c - 1/60*c**6 + 0*c**5 + 1/12*c**4 + c**2 + 0 + p*c**3. Factor y(x).
-2*x*(x - 1)*(x + 1)
Let r be 41/3 - 1/(-3). Suppose 27 = 5*n + 2*h + 9, 4*h = n + r. Let 5*w**4 - 2*w**5 + 4*w**4 + 2*w - 4*w**n - 5*w**4 = 0. What is w?
-1, 0, 1
Let v(y) = 2*y**3 - y + 2 + 0*y + 3*y - 2*y**5. Let t(u) be the first derivative of u**5/5 - u**4/4 - u**2/2 - u - 43. Let m(a) = 2*t(a) + v(a). Factor m(s).
-2*s**4*(s - 1)
Let m(g) be the second derivative of g**8/168 + g**7/35 + g**6/20 + g**5/30 - 3*g**2/2 - 4*g. Let k(t) be the first derivative of m(t). Factor k(p).
2*p**2*(p + 1)**3
Suppose -n = -5*i - 0*n + 31, 0 = 4*i + 2*n - 36. Let l(b) = b**2 + 6*b + 2. Let t be l(-6). Find g, given that g - g**2 - 8 - 2*g**3 + 3*g**t + i*g = 0.
-2, 1, 2
Find y such that -20/3*y + 5*y**3 - 350/3*y**4 + 0 - 245/3*y**5 + 100/3*y**2 = 0.
-1, 0, 2/7
Factor 1/2*v - 1/4 - 1/4*v**2.
-(v - 1)**2/4
Let h be 20/105*6/4. Determine r so that -h*r + 2/7 - 2/7*r**2 + 2/7*r**3 = 0.
-1, 1
Suppose 13 = 5*p - 2. Let q be ((-22)/(-6) - 3)*p. Suppose 0 - 4/5*d**q + 0*d - 2/5*d**3 = 0. What is d?
-2, 0
Let y(n) = -n**2 - 11*n + 14. Let k be y(-12). Suppose -k*i = -6 + 2. Solve -d**i + 1/2 - 3/2*d**5 + 3*d**3 - 3/2*d + 1/2*d**4 = 0 for d.
-1, 1/3, 1
Suppose -48*c = 8*c - 6*c. Factor -2/3*h**2 - 5/3*h**3 + 0*h + c + 7/3*h**4.
h**2*(h - 1)*(7*h + 2)/3
Let d(z) be the third derivative of z**8/504 + 2*z**7/315 - z**5/45 - z**4/36 - 24*z**2. Determine o so that d(o) = 0.
-1, 0, 1
Let 32/13*q + 38/13*q**3 + 8/13 + 50/13*q**2 + 14/13*q**4 + 2/13*q**5 = 0. Calculate q.
-2, -1
Let l(i) be the second derivative of i**6/135 - i**5/90 - i**4/27 + 16*i. Factor l(z).
2*z**2*(z - 2)*(z + 1)/9
Let h(b) = b**2 - 1. Let o be h(-2). Let r(y) be the second derivative of 0*y**2 + 2/3*y**3 + 0 + o*y + 1/6*y**4. Solve r(k) = 0.
-2, 0
Let a = 4/7 + 2/21. Find i such that -4/3 + a*i**2 - 2/3*i = 0.
-1, 2
Let g = 73679188771 - 2897139381909173/39321. Let a = -2/4369 - g. Solve a*z**2 + 2/3*z + 56/9*z**4 - 38/3*z**3 - 4/9 = 0 for z.
-1/4, 2/7, 1
Let p be (-2)/2 + (-112)/(-32). Factor 1/2*c**3 + 1 + 2*c**2 + p*c.
(c + 1)**2*(c + 2)/2
Let j(r) = -r + 9. Let u be j(6). Factor -15*i**4 - 18*i**4 - 8 + 190*i**u - 17*i**4 + 56*i - 50*i**3 - 138*i**2.
-2*(i - 1)**2*(5*i - 2)**2
Let j be 2/(-9) - (-100)/(-36). Let z(o) = o**4 - o**3 - o**2 - 7*o. Let q(p) = -p. Let h(x) = j*z(x) + 24*q(x). Factor h(d).
-3*d*(d - 1)**2*(d + 1)
Let a(n) be the first derivative of 1/16*n**4 + 1/4*n**3 + 3/8*n**2 + 1/4*n + 1. Determine h so that a(h) = 0.
-1
Let o = 6/17 - 73/255. Let i(l) be the second derivative of 0 - o*l**3 + 1/25*l**5 + 0*l**4 - l + 0*l**6 + 0*l**2 - 1/105*l**7. Factor i(v).
-2*v*(v - 1)**2*(v + 1)**2/5
Let y(a) be the first derivative of -1/2*a + 3/8*a**2 - 3 - 1/12*a**3. Find p such that y(p) = 0.
1, 2
Factor 0*j**4 + j**4 + 2*j**3 - 3*j**3.
j**3*(j - 1)
Suppose -3/4*j**3 + 3/4*j - 9/4*j**2 + 3/4*j**4 + 3/2 = 0. Calculate j.
-1, 1, 2
Let g(y) be the first derivative of 4*y**3/15 - y**2/5 - 2*y/5 + 5. What is p in g(p) = 0?
-1/2, 1
Let m(a) = -6*a**2 - 3*a - 1. Let l be 50/(-30)*(-4 - -1). Let q(s) = -13*s**2 - 7*s - 2. Let u(k) = l*m(k) - 3*q(k). Factor u(x).
(3*x + 1)**2
Determine d, given that -16*d - 55 + 104*d - 4*d**2 - 429 = 0.
11
Let q(n) be the third derivative of -n**7/3360 - n**6/720 - n**3/6 + 2*n**2. Let z(k) be the first derivative of q(k). Solve z(i) = 0 for i.
-2, 0
Suppose 2*z + 5 = -3*z. Let j = -1 - z. Factor 3/2*c**3 + 1/2*c**5 + 0 + j*c + 3/2*c**4 + 1/2*c**2.
c**2*(c + 1)**3/2
Let s be (144/(-28) + 5)*-2. Factor -8/7*t**4 + 12/7*t**3 + 2/7*t**5 + 0 + s*t - 8/7*t**2.
2*t*(t - 1)**4/7
Let x(b) be the first derivative of -2/25*b**5 - 3 + 2/5*b**4 - 4/5*b**2 - 2/5*b**3 + 8/5*b. Suppose x(h) = 0. What is h?
-1, 1, 2
Suppose 3/8*i - 1/4 - 1/8*i**3 + 0*i**2 = 0. What is i?
-2, 1
Let i = 23 + -16. Let w(d) be the third derivative of 0*d + 1/84*d**4 + 2/105*d**5 + 0 + 4/735*d**i + 1/1176*d**8 + 2*d**2 + 1/70*d**6 + 0*d**3. Factor w(t).
2*t*(t + 1)**4/7
Let v = -814/7 - -118. Determine n so that 3/7*n**4 + 18/7*n**2 - v*n**3 + 3/7 - 12/7*n = 0.
1
Let 9/2*z + 5*z**4 - 4*z**2 - 3*z**3 - 1 - 3/2*z**5 = 0. What is z?
-1, 1/3, 1, 2
Let b(n) = -2*n**2 + n. Let a(r) = 3*r**2 + 1. Let z(y) = 3*a(y) + 4*b(y). Factor z(t).
(t + 1)*(t + 3)
Factor 0*u + 0 + 2/5*u**5 + 0*u**2 + 0*u**3 - 2/5*u**4.
2*u**4*(u - 1)/5
Let l be (-3)/9 + 40/12. Let g be (-11)/(-33) + 11/l. Factor 2/11*r - 4/11*r**g + 4/11*r**2 + 0 - 2/11*r**5 + 0*r**3.
-2*r*(r - 1)*(r + 1)**3/11
Let g(m) be the third derivative of 0*m - 1/12*m**4 + 1/30*m**5 + 0*m**3 + 4*m**2 + 0. Factor g(h).
2*h*(h - 1)
Let n = -19 - -22. Suppose 1/4*s**n - 1/2*s**2 + 0 + 0*s = 0. Calculate s.
0, 2
Let z(q) be the second derivative of -2*q - 1/27*q**3 + 0 - 1/54*q**4 + 0*q**2. Factor z(l).
-2*l*(l + 1)/9
Let q = 22 - 10. Let k be (-2)/8 + q/8. Suppose k*c**2 + 0 + 1/2*c - 7/4*c**3 = 0. Calculate c.
-2/7, 0, 1
Let o be 5 + (6/3 - 3). Let f(p) be the first derivative of -1/2*p**6 - 4/5*p**5 - 2 + 0*p + 1/4*p**o + 2/3*p**3 + 0*p**2. Factor f(v).
-v**2*(v + 1)**2*(3*v - 2)
Let i(o) be the third derivative of -o**7/1260 + o**6/180 - o**4/6 - 5*o**2. Let u(y) be the second derivative of i(y). Let u(c) = 0. What is c?
0, 2
Let r(c) be the second derivative of -c**4/6 + c**3 - 2*c**2 - c. Factor r(n).
-2*(n - 2)*(n - 1)
Let q(v) be the third derivative of -v**7/11340 - v**6/1620 - v**5/540 - v**4/8 + v**2. Let g(z) be the second derivative of q(z). Determine r so that g(r) = 0.
-1
Factor -12*a**2 + 4*a**4 + a**3 - a**3 - 8*a.
4*a*(a - 2)*(a + 1)**2
Let x be 100/(-35)*4/(-10). Factor -8/7*d**3 + 2/7 - x*d + 2/7*d