**5/300 + r**3/3 - 3*r. Let w(b) be the second derivative of v(b). Solve w(u) = 0.
0, 1/4
Let t(c) be the first derivative of -2*c**5/25 - c**4/2 - 8*c**3/15 + 49. Factor t(u).
-2*u**2*(u + 1)*(u + 4)/5
Let z(v) be the third derivative of 3*v**6/40 + v**5/20 - 5*v**4/24 + v**3/6 + 2*v**2 - 10. Factor z(i).
(i + 1)*(3*i - 1)**2
Suppose 2*j - w - 4 = 4*w, -w = -2*j + 4. Factor 0 + 0*d + 3/2*d**3 - 3/2*d**5 - 3/2*d**j + 3/2*d**4.
-3*d**2*(d - 1)**2*(d + 1)/2
Let s(v) = v**5 - 7*v**3 + 0 + v**2 - 1 + 6*v**3. Let x(f) = 12*f**5 - f**4 - 12*f**3 + 12*f**2 - 11. Let i(m) = -22*s(m) + 2*x(m). Factor i(r).
2*r**2*(r - 1)**2*(r + 1)
Let f = 3 + 7. Let p be (3 - f/4)*0. Solve -2/3*k + 2/3*k**2 + p = 0.
0, 1
Factor -27*c**3 + 2*c**4 + 2*c**5 - 2*c**2 - 4*c**5 + 29*c**3.
-2*c**2*(c - 1)**2*(c + 1)
Let z(g) be the third derivative of -1/455*g**7 - 1/260*g**6 + 0*g**4 + 0*g**3 - 1/2184*g**8 + 3*g**2 + 0 + 0*g - 1/390*g**5. Factor z(h).
-2*h**2*(h + 1)**3/13
Suppose w - 13 = -4. Suppose w*b = 6*b. Factor 0 + 1/3*s**3 + 1/3*s**2 + b*s.
s**2*(s + 1)/3
Let o(p) be the third derivative of p**5/30 - p**4/6 + p**3/3 - 7*p**2. Factor o(w).
2*(w - 1)**2
Let n(c) be the first derivative of c**5/15 + c**4/4 - 7*c**3/9 - 5*c**2/2 + 6*c + 25. Solve n(a) = 0.
-3, 1, 2
Let n = -54 + 163/3. Let k(r) be the second derivative of 2*r - 1/21*r**7 + 5/3*r**3 + 0 - 2/5*r**5 - 4/15*r**6 + n*r**4 + 2*r**2. Factor k(v).
-2*(v - 1)*(v + 1)**3*(v + 2)
Let l(z) = -z + 2. Suppose 4*r - 5 = -3*t + 1, r - 6 = -3*t. Let j be l(r). Factor -2/3*h**j + 0 - 2/3*h**4 + 0*h + 4/3*h**3.
-2*h**2*(h - 1)**2/3
Let t be 10*(2 + 9/(-6)). Let f(g) be the second derivative of 0*g**2 - 1/60*g**t + 0 - 2*g - 1/36*g**4 + 0*g**3. Suppose f(w) = 0. What is w?
-1, 0
Let d(g) = -2*g**3 - 12*g**2 + 15*g + 9. Let h be d(-7). Suppose 0*s**h + 3/2*s - 1/2*s**3 + 1 = 0. What is s?
-1, 2
Let y be -3 + 2*((-3)/(-6) + 1). Suppose -4*v - u + 2*u + 10 = 0, -3*u + 9 = v. Factor -3*z**4 - 18*z**v - 60*z - 30 + 6 - 3*z**3 - 54*z**2 + y*z**4.
-3*(z + 1)*(z + 2)**3
Let p(r) be the second derivative of -r**4/12 + r**2/2 + 4*r. Let p(t) = 0. What is t?
-1, 1
Determine x so that 0 - 1/2*x**2 + 0*x + 3/4*x**5 - 5/4*x**3 + x**4 = 0.
-2, -1/3, 0, 1
Let g be (16/6)/(-4)*45. Let y be (-15)/14*35/g. Factor -7/4*w**2 - 3/4*w**3 - y*w - 1/4.
-(w + 1)**2*(3*w + 1)/4
Suppose 0 = -0*x - 3*x. Let o(c) be the first derivative of 0*c**2 - 1/12*c**6 + 1/10*c**5 - 2 + x*c**3 + 0*c + 0*c**4. Solve o(v) = 0.
0, 1
Let k be 0/(34/323 + (-40)/19). Solve k*c**4 + 4/3*c**3 - 2/3*c + 0 - 2/3*c**5 + 0*c**2 = 0 for c.
-1, 0, 1
Let k(d) be the first derivative of 1 + 1/5*d**3 - 9/10*d**2 + 6/5*d. Factor k(m).
3*(m - 2)*(m - 1)/5
Let b(i) be the first derivative of i**4/4 - 5*i**3/6 + i**2 + i - 5. Let m(y) be the first derivative of b(y). Suppose m(u) = 0. Calculate u.
2/3, 1
Let z(c) be the first derivative of 3*c**5/20 - 3*c**4/2 + 6*c**3 - 12*c**2 + 5*c - 2. Let k(l) be the first derivative of z(l). Factor k(j).
3*(j - 2)**3
Let a = 2 - -2. Let g(w) be the third derivative of 0 + 1/5*w**3 - 1/40*w**a + 0*w - 2*w**2 - 1/100*w**5. Find o, given that g(o) = 0.
-2, 1
Let y = 1/922 + 2759/6454. Factor 2/7*j + 0 - y*j**2.
-j*(3*j - 2)/7
Suppose 8*x + 90 = 3*x. Let r = x - -20. Factor 0 + 2/3*u**r + 2/3*u.
2*u*(u + 1)/3
Let p(x) be the second derivative of x**6/5 - 11*x**5/10 + 4*x**4/3 + 4*x**3/3 + 4*x. Suppose p(u) = 0. What is u?
-1/3, 0, 2
Let t(z) be the third derivative of -z**6/24 + 5*z**4/24 + 4*z**2. Factor t(h).
-5*h*(h - 1)*(h + 1)
Let w = -17 + 21. Let n(y) be the first derivative of 0*y**w + 1/8*y**6 - y**3 + 0*y + 0*y**2 + 1 + 9/20*y**5. Solve n(f) = 0 for f.
-2, 0, 1
Find x, given that 16/7*x**3 + 64/7 + 0*x**2 - 4/7*x**4 - 64/7*x = 0.
-2, 2
Let x be ((-14)/(-4))/(12/24). Let a = 22/3 - x. Factor 2*u + a*u**2 + 3.
(u + 3)**2/3
Let y(c) = 22*c**2. Let x be y(3). Let r be 2/(-12) - (-69)/x. Find t such that r - 4/11*t + 2/11*t**2 = 0.
1
Let b(a) = -49*a**3 + 39*a**2 - 15*a - 11. Let m(x) = -x**2 + x + 1. Let w(k) = -4*b(k) - 44*m(k). Factor w(d).
4*d*(7*d - 2)**2
Let w(j) be the second derivative of -5/48*j**4 + 0 + 1/12*j**3 + 0*j**2 + 3/80*j**5 - 2*j. Factor w(u).
u*(u - 1)*(3*u - 2)/4
Let c = 4172 - 20716/5. Factor 3/5*b**3 + 192/5 + 36/5*b**2 + c*b.
3*(b + 4)**3/5
Let f(j) be the first derivative of -j**5/15 + j**4/12 + j**3/3 + 3*j**2/2 - 3. Let r(t) be the second derivative of f(t). Factor r(c).
-2*(c - 1)*(2*c + 1)
Let i(f) = -16*f**2 - 39*f - 10. Let d(l) = 3*l**2 + 8*l + 2. Let z(n) = 11*d(n) + 2*i(n). Let a be z(-10). Factor -1/4 - 1/2*c - 1/4*c**a.
-(c + 1)**2/4
Suppose -b = -5*b. Let f(v) be the second derivative of 1/42*v**4 + 0 - 3*v - 1/21*v**3 + b*v**2. Factor f(q).
2*q*(q - 1)/7
Let q(c) be the third derivative of c**8/1512 + 2*c**7/945 - c**5/135 - c**4/108 + 2*c**2. Factor q(l).
2*l*(l - 1)*(l + 1)**3/9
Let q(b) be the third derivative of b**6/1440 + b**5/160 - b**4/24 + 2*b**3/3 - 6*b**2. Let p(h) be the first derivative of q(h). Find y, given that p(y) = 0.
-4, 1
Factor v**2 + 91*v + v**3 - 91*v.
v**2*(v + 1)
Solve 8/7 + 2/7*j**3 - 2*j + 4/7*j**2 = 0 for j.
-4, 1
Let 2/7*v**5 + 0*v + 8/7*v**2 - 2/7*v**4 - 8/7*v**3 + 0 = 0. Calculate v.
-2, 0, 1, 2
Factor 3/4 - 1/4*x**2 + 1/2*x.
-(x - 3)*(x + 1)/4
Suppose 10*z = 5*z. Suppose z = 3*l + 20 - 29. Factor 1/5*b + 1/5*b**4 + 3/5*b**l + 0 + 3/5*b**2.
b*(b + 1)**3/5
Let n(g) be the third derivative of -g**8/896 + g**7/280 - g**6/320 + 40*g**2. Solve n(d) = 0 for d.
0, 1
Let m(q) be the first derivative of -q**6/2 + 3*q**4 + 2*q**3 - 9*q**2/2 - 6*q - 20. Determine p, given that m(p) = 0.
-1, 1, 2
Let w(k) be the third derivative of k**7/840 + k**6/40 + 9*k**5/40 + 9*k**4/8 + 27*k**3/8 + 10*k**2. Factor w(m).
(m + 3)**4/4
Let a = -29 - -40. Let y be (-2)/(-4)*(-3 + a). What is g in 0 - 1/3*g**5 + 2/3*g**3 + 0*g**2 + 0*g**y - 1/3*g = 0?
-1, 0, 1
Let j(a) = -9*a**3 + 24*a**2 - 9*a + 6. Let s(k) = k**3 - k**2 - k - 1. Let g(p) = -j(p) - 6*s(p). Factor g(d).
3*d*(d - 5)*(d - 1)
Let y(b) be the second derivative of -5*b**4/12 - 25*b**3/2 + 28*b - 2. Suppose y(t) = 0. What is t?
-15, 0
Let s be 9/2 + 1/2. Suppose s*p = 0, -m + 2 = 2*p - p. Factor 2/5 - 4/5*k + 2/5*k**m.
2*(k - 1)**2/5
Factor -2/11 + 2/11*q + 4/11*q**2 - 2/11*q**4 - 4/11*q**3 + 2/11*q**5.
2*(q - 1)**3*(q + 1)**2/11
Let w(q) = 12*q**5 + 16*q**4 + 20*q**3 + 8*q - 8. Let z(f) = -f**5 + f**2 - f + 1. Let y(l) = -w(l) - 8*z(l). Determine t so that y(t) = 0.
-2, -1, 0
Find s such that 21/2 + 48*s**2 + 6*s**3 + 87/2*s = 0.
-7, -1/2
Let k = 18 + -25. Let m be (7 + k)/(2 + 1). Suppose 0 + 0*g**2 + m*g - 2/3*g**3 = 0. What is g?
0
Suppose 1/4*o**5 - 3/4*o**4 + 1/2*o**3 + 0*o + 0 + 0*o**2 = 0. What is o?
0, 1, 2
Let c(x) be the third derivative of x**7/245 - 2*x**6/105 + x**5/30 - x**4/42 + 6*x**2. Suppose c(f) = 0. What is f?
0, 2/3, 1
Let q be (4/(-3) + 0)*-3. Let m(u) = -4 + 11 + 10*u**3 + u**4 + u**q. Let c(s) = s**4 + 3*s**3 + 2. Let p(z) = 7*c(z) - 2*m(z). What is b in p(b) = 0?
-1/3, 0
Let b be ((-14)/21)/((-2)/36). Let x be (14/(-49))/(b/(-14)). Factor -1/3*s**2 + 1/3*s - x*s**3 + 1/3.
-(s - 1)*(s + 1)**2/3
Let m(o) = o. Let a(h) = 7*h - 3. Let f(g) = a(g) - 4*m(g). Let n be f(2). Let d**5 - 2*d**3 - 2*d**5 + 0*d**3 + n*d**4 = 0. Calculate d.
0, 1, 2
Let g = -25 + 29. Let p(h) be the third derivative of -h**2 + 0*h + 0*h**g + 0 + 1/270*h**5 + 0*h**3 - 1/945*h**7 + 0*h**6. Let p(n) = 0. What is n?
-1, 0, 1
Let b = -76 + 78. Suppose 3 = h + 1. Factor -8/3*d - 2/3*d**h - b.
-2*(d + 1)*(d + 3)/3
Let f = 26 + -21. Let o(g) be the second derivative of -1/10*g**6 + 0 - 3/8*g**2 - 3/4*g**3 - g - 9/20*g**f - 13/16*g**4. Let o(l) = 0. Calculate l.
-1, -1/2
Let x(i) = -716*i**3 + 1164*i**2 - 544*i + 80. Let g(t) = 143*t**3 - 233*t**2 + 109*t - 16. Let m(s) = -16*g(s) - 3*x(s). Factor m(y).
-4*(y - 1)*(5*y - 2)*(7*y - 2)
Let k(j) = -8*j**4 - 2*j**3 - 8*j**2 + 6*j. Let s(v) = -v**4 + v**3 + v. Let x(h) = 2*k(h) - 12*s(h). Factor x(n).
-4*n**2*(n + 2)**2
Let k be (18/12)/(6/8). Factor -2*v**2 + k*v + 2*v**4 - 2*v**3 - 1 + 0*v + 1.
2*v*(v - 1)**2*(v + 1)
Let o(x) be the second derivative of x**3/6 + 4*x**2 - x. Let z be o(0). Factor 2*i - 1 + 2*i**5 + z*i**4 + 12*i**3 + 1 + 8*i**2.
2*i*(i + 1)**4
Let f(z) be the second derivative of -3*z*