/3*s**2 - 2/3*s + 2/3*s**3 - 2/3*s**h.
-2*s*(s - 1)**2*(s + 1)/3
Let x(a) be the second derivative of a**7/21 + 7*a**6/15 + 9*a**5/5 + 11*a**4/3 + 13*a**3/3 + 3*a**2 + a. Suppose x(k) = 0. What is k?
-3, -1
Let h(q) = -23*q**2 - 38*q + 20. Let b(f) = 22*f**2 + 37*f - 20. Let c(w) = -2*b(w) - 3*h(w). Solve c(p) = 0 for p.
-2, 2/5
Let p(u) be the third derivative of -u**7/1050 - u**6/200 - u**5/150 + 4*u**2. Factor p(f).
-f**2*(f + 1)*(f + 2)/5
Let d(c) be the second derivative of -1/4*c**4 + 3*c + 0 - 5/6*c**3 - c**2. Factor d(s).
-(s + 1)*(3*s + 2)
Let y = 14 - 13. Let q(m) = -m**4 - 7*m**3 + 4*m**2 + 5*m + 5. Let o(h) = -h**3 + h**2 + h + 1. Let i(a) = y*q(a) - 5*o(a). Let i(r) = 0. Calculate r.
-1, 0
Let g = 20 - 12. Let n = g - 4. Let -2*v**n - 2*v**4 + 2*v**3 + 2*v**4 = 0. Calculate v.
0, 1
Let d(m) be the third derivative of 1/360*m**6 + 0*m - 1/6*m**3 - 1/12*m**4 + 1/120*m**5 + 0 - 2*m**2. Let u(a) be the first derivative of d(a). Factor u(f).
(f - 1)*(f + 2)
Factor -1/3*f**5 + 0*f**4 - f + 4/3*f**3 + 2/3*f**2 - 2/3.
-(f - 2)*(f - 1)*(f + 1)**3/3
Let c**2 - 5*c**3 + 0*c**2 - 5*c**2 + 20*c - 11*c**2 = 0. Calculate c.
-4, 0, 1
Let a(d) = 2*d**3 + d**2 - d. Let n be a(1). Let f(q) be the second derivative of 0*q**n + 0*q**4 - 1/20*q**5 + 0 + 1/6*q**3 + q. Factor f(t).
-t*(t - 1)*(t + 1)
Find p such that 21/2*p**5 + 6*p**2 + 0 - 27*p**3 + 4*p + 13/2*p**4 = 0.
-2, -2/7, 0, 2/3, 1
Let a be (-19)/7 - (-10)/(-40)*-12. Factor 2/7*s**2 + a*s - 4/7.
2*(s - 1)*(s + 2)/7
Let y(x) be the third derivative of -x**4/24 - 11*x**3/6 - 2*x**2. Let m be y(-13). Factor 0 - 1/3*w - 1/3*w**m.
-w*(w + 1)/3
Let d(r) be the third derivative of r**9/15120 - r**8/8400 - r**7/4200 + r**6/1800 - 3*r**3/2 - 4*r**2. Let v(q) be the first derivative of d(q). Factor v(i).
i**2*(i - 1)**2*(i + 1)/5
Let t(o) be the third derivative of o**8/20160 - o**7/7560 - o**6/2160 + o**5/360 - o**4/8 - o**2. Let c(d) be the second derivative of t(d). Factor c(h).
(h - 1)**2*(h + 1)/3
Let a(u) be the third derivative of 0 + 1/660*u**6 + 0*u + 0*u**4 + 1/330*u**5 + 0*u**3 + 2*u**2. Suppose a(n) = 0. What is n?
-1, 0
Let v(s) be the first derivative of -s**6/24 - s**5/20 - 5. Solve v(p) = 0 for p.
-1, 0
Let v(f) be the second derivative of -f**6/195 - 3*f**5/130 - f**4/26 - f**3/39 - 9*f. Factor v(q).
-2*q*(q + 1)**3/13
Let h(k) be the first derivative of -k**5/30 + k**4/18 + 2*k**3/9 - 2*k + 2. Let b(t) be the first derivative of h(t). Factor b(r).
-2*r*(r - 2)*(r + 1)/3
Suppose 0 = 3*l - 4*l. Let d(y) be the second derivative of -1/50*y**5 + l*y**2 + 0 + 2*y + 0*y**3 - 7/150*y**6 + 0*y**4. Factor d(k).
-k**3*(7*k + 2)/5
Let f(c) be the third derivative of c**7/70 + c**6/40 - 3*c**5/20 - 5*c**4/8 - c**3 - 25*c**2. Find m, given that f(m) = 0.
-1, 2
Let w(r) be the second derivative of -189*r**5/20 + 95*r**4/4 - 18*r**3 + 6*r**2 - 23*r. Factor w(p).
-3*(p - 1)*(7*p - 2)*(9*p - 2)
Factor 5*h + 2*h - h - 2*h + 8 - 4*h**2.
-4*(h - 2)*(h + 1)
Let x(d) be the second derivative of -d**4/6 + 4*d**3/3 - 3*d**2 - 6*d. Factor x(u).
-2*(u - 3)*(u - 1)
Let k(h) be the third derivative of h**7/105 - h**5/15 + h**3/3 + 15*h**2. Factor k(o).
2*(o - 1)**2*(o + 1)**2
Let o(u) = -u**3 + u**2 + u + 1. Let k(g) = -2*g**3 + 4*g**2 + 2*g - 2. Let x(z) = k(z) - o(z). Determine y, given that x(y) = 0.
-1, 1, 3
Let g(n) = n**3 - n + 1. Let w(u) = -6*u**3 - 11*u**2 + 42*u - 32. Let h(t) = -14*g(t) - 2*w(t). Solve h(v) = 0.
1, 5
Factor 0 - 2/9*n**2 + 2/9*n**4 - 4/9*n + 4/9*n**3.
2*n*(n - 1)*(n + 1)*(n + 2)/9
Let v(c) be the second derivative of c**7/360 - c**6/360 - c**4/6 + 4*c. Let l(q) be the third derivative of v(q). Factor l(s).
s*(7*s - 2)
Let a(v) be the first derivative of -3 + 0*v + 0*v**3 + 3/5*v**5 - 1/2*v**6 + 0*v**2 + 0*v**4. Factor a(u).
-3*u**4*(u - 1)
Let r = 75 - 1199/16. Let m(a) be the first derivative of -r*a**4 + 0*a**2 + 0*a - 1/12*a**3 - 1. Factor m(g).
-g**2*(g + 1)/4
Let r(n) be the first derivative of -n**2 - n**3 + 0*n + 3*n**4 + 3 - 7/5*n**5. Let r(s) = 0. What is s?
-2/7, 0, 1
Let j(q) be the first derivative of q**6/24 + q**5/5 - 4*q**3/3 - 2*q**2 + 29. Factor j(l).
l*(l - 2)*(l + 2)**3/4
Let l(y) be the second derivative of -1/4*y**2 - 1/48*y**4 - 1/8*y**3 + y + 0. Solve l(g) = 0.
-2, -1
Let o be -2 - 4*4/(-8). Let d(m) be the first derivative of 0*m**4 - 2/3*m**3 - 1 + o*m**2 + 0*m + 2/5*m**5. Determine c, given that d(c) = 0.
-1, 0, 1
Let r(m) be the third derivative of -m**5/300 + m**4/30 - m**3/10 + 11*m**2. Factor r(o).
-(o - 3)*(o - 1)/5
Let o be (-17)/(-20) - 2*(-3)/(-10). Factor o*r**2 + 1/2*r + 1/4.
(r + 1)**2/4
Let j(i) be the first derivative of -2*i**6/3 + 8*i**5/5 + 3*i**4 + 40. Factor j(y).
-4*y**3*(y - 3)*(y + 1)
Let i(q) = 5*q + 22. Let g be i(-4). Let c = 68/3 + -22. Determine o so that 2/3*o**3 + 0 + 5/3*o**g - 5/3*o**4 - c*o = 0.
-1, 0, 2/5, 1
Let t(j) be the first derivative of -1/8*j**4 + 0*j + 3/4*j**3 + 1/120*j**5 + 3 - 2*j**2. Let z(r) be the second derivative of t(r). Factor z(g).
(g - 3)**2/2
Let 24/5*p**3 + 4/5*p - 18/5*p**2 - 8/5*p**4 + 0 = 0. What is p?
0, 1/2, 2
Let 4*m**3 - 6*m - 8 + 2*m**4 - 9 + 2*m**3 + 2*m**2 + 13 = 0. Calculate m.
-2, -1, 1
Let p(j) be the second derivative of j**4/18 + 4*j**3/9 + 4*j**2/3 - 8*j. Let p(c) = 0. What is c?
-2
Let h be ((-14)/(-24))/7 + 0. Let b(q) be the third derivative of 1/32*q**4 + 0 + 1/240*q**5 + 0*q + h*q**3 + q**2. Determine v so that b(v) = 0.
-2, -1
Let g(b) be the third derivative of b**8/168 + 2*b**7/105 + b**6/60 + 4*b**2. Determine o so that g(o) = 0.
-1, 0
Let f(a) be the third derivative of -a**7/10 - 23*a**6/40 - 27*a**5/20 - 13*a**4/8 - a**3 - 5*a**2. Determine k, given that f(k) = 0.
-1, -2/7
Let k(c) = -7*c**4 + 2*c**3. Let z(y) = 22*y**4 - 6*y**3. Let n(a) = -7*k(a) - 2*z(a). Suppose n(t) = 0. What is t?
0, 2/5
Let -2/7*j**4 + 0 - 2/7*j**3 + 2/7*j + 2/7*j**2 = 0. Calculate j.
-1, 0, 1
Let y(z) be the third derivative of z**7/280 + 7*z**6/240 + 19*z**5/240 + z**4/24 - z**3/6 - 20*z**2. Factor y(g).
(g + 1)*(g + 2)**2*(3*g - 1)/4
Let z(m) be the first derivative of -356/15*m**3 + 163/10*m**4 + 68/5*m**2 - 16/5*m + 7 - 18/5*m**5. Determine p, given that z(p) = 0.
2/9, 2/5, 1, 2
Let v be 3*(28/63 - (-2)/(-9)). Determine m so that -2/3*m**3 - 1/3 + 1/3*m**4 + v*m + 0*m**2 = 0.
-1, 1
Suppose -11*c + 8 = -9*c. Let h(j) be the first derivative of 0*j + 0*j**5 - 1/2*j**c - 2 + 0*j**3 + 1/6*j**6 + 1/2*j**2. Factor h(g).
g*(g - 1)**2*(g + 1)**2
Let t(p) be the third derivative of -5*p**8/1008 + p**7/126 + p**6/24 - 5*p**5/36 + 5*p**4/36 + p**2. Suppose t(x) = 0. What is x?
-2, 0, 1
Let a(l) be the first derivative of -l**3 + 1/4*l**4 + 1 - l + 3/2*l**2. Determine z, given that a(z) = 0.
1
Let i = -47 + 50. Let w(u) be the second derivative of 0 - 1/9*u**2 + 1/135*u**6 - 2/27*u**i - 2*u + 0*u**4 + 1/45*u**5. Let w(b) = 0. Calculate b.
-1, 1
Let k(h) be the second derivative of 0 - 2*h - 1/16*h**4 + 0*h**3 + 1/2*h**2 + 1/80*h**5. Factor k(p).
(p - 2)**2*(p + 1)/4
Let k = -180 + 184. Find j, given that -3/4*j - 3/2*j**k + 3/2*j**2 + 0*j**3 + 3/4*j**5 + 0 = 0.
-1, 0, 1
Let y be 10/(-5)*2/(-10). What is p in 0*p - 2/5 + y*p**2 = 0?
-1, 1
Let b = -1 + 3. Suppose 2*u = 2*h - 4, 0 = 3*h + 8*u - 5*u + 6. What is o in h*o**b - 1/4*o**4 + 1/2*o**3 + 0 + 0*o = 0?
0, 2
Let t(n) be the first derivative of 2*n**3/3 + 6*n**2 + 18*n + 23. Determine y so that t(y) = 0.
-3
Let i(c) = c**5 - c**4 - c**2 - c - 1. Let o(l) = -2*l**5 - 23*l**4 - 20*l**3 + 7*l**2 + 22*l + 7. Let x(d) = -3*i(d) + o(d). Factor x(v).
-5*(v - 1)*(v + 1)**3*(v + 2)
Let z(d) be the second derivative of d**7/252 - d**6/60 + d**5/40 - d**4/72 - 37*d. Determine j so that z(j) = 0.
0, 1
Let k(c) be the first derivative of -1/4*c**4 - 1 + 1/10*c**5 - 1/2*c + 1/2*c**2 + 0*c**3. Factor k(x).
(x - 1)**3*(x + 1)/2
Let x(z) be the second derivative of 3*z**5/8 - 9*z**4/4 + 3*z**3 + 6*z**2 - 31*z. Factor x(o).
3*(o - 2)**2*(5*o + 2)/2
Suppose -d + 14 = -0*d + y, -3*y + 54 = 4*d. Suppose 4*i = -0*i + d. Factor 0 - 3*q - i*q**3 + 2*q**3 + 3*q**2 + 1.
-(q - 1)**3
Let i(g) be the first derivative of 2*g**5/45 - g**4/9 + 2*g**2/9 - 2*g/9 - 21. Suppose i(j) = 0. Calculate j.
-1, 1
Let i(z) = -z**3 - 1. Suppose -2*c - 2*d - 2 = 2*d, -c - 4*d - 3 = 0. Let o(k) = -k**4 