 3*z**5 - 3*z**3 = 0. What is z?
-1, 0, 1
Let u(z) be the third derivative of z**6/40 + z**5/20 - 5*z**4/8 + 3*z**3/2 + 7*z**2. Factor u(q).
3*(q - 1)**2*(q + 3)
Let k(s) be the second derivative of s**6/10 - s**5/10 - 4*s**4/3 - 7*s**3/3 - 3*s**2/2 - s + 15. Factor k(y).
(y - 3)*(y + 1)**2*(3*y + 1)
Let t(g) be the second derivative of 2*g**7/21 + 4*g**6/15 - g**5/5 - 2*g**4/3 + 3*g + 2. Factor t(z).
4*z**2*(z - 1)*(z + 1)*(z + 2)
Factor -8/15 - 2/3*u**2 + 8/5*u.
-2*(u - 2)*(5*u - 2)/15
Factor 1/2*u**3 + 0 - 1/2*u**4 + 5/2*u**2 + 3/2*u.
-u*(u - 3)*(u + 1)**2/2
Let z(c) be the third derivative of -c**6/1980 + c**5/660 + c**4/66 - c**3/2 + 3*c**2. Let j(i) be the first derivative of z(i). Determine n so that j(n) = 0.
-1, 2
Let s be (-2)/5 - (-17)/5. Suppose y + 2*y + 6 = 3*m, 2*y + 4 = -2*m. Factor m + 1/2*i**2 - 1/4*i - 1/4*i**s.
-i*(i - 1)**2/4
Let w(m) be the third derivative of m**6/150 + 2*m**5/75 - m**4/30 - 4*m**3/15 - 2*m**2. Factor w(k).
4*(k - 1)*(k + 1)*(k + 2)/5
Let t(i) be the third derivative of i**5/30 + i**4/6 + i**3/3 + 5*i**2. Let t(h) = 0. Calculate h.
-1
Factor 3*z**2 - 9*z**2 - 9*z**3 + 3*z**5 + 43 - 43.
3*z**2*(z - 2)*(z + 1)**2
Let z(q) = -6*q**5 - 11*q**4 - 16*q**3 + 11*q**2. Let x(b) = -b**5 - 2*b**4 - 3*b**3 + 2*b**2. Let a = 4 - 6. Let t(p) = a*z(p) + 11*x(p). Factor t(l).
l**3*(l - 1)*(l + 1)
Let t(n) be the third derivative of n**6/160 + 7*n**5/80 + n**4/4 - 2*n**3 - n**2. Find p such that t(p) = 0.
-4, 1
Factor 0 - 3/7*g**2 + 3/7*g**5 - 9/7*g**4 + 9/7*g**3 + 0*g.
3*g**2*(g - 1)**3/7
Let r = 1 - -2. Let -a**3 - 3*a**3 + 6*a**3 - 4*a**r = 0. What is a?
0
Let g(q) be the second derivative of q**4/6 - q**3/3 - 7*q. Let g(r) = 0. Calculate r.
0, 1
Find k, given that -4/7*k + 2/7*k**3 + 0 - 2/7*k**2 = 0.
-1, 0, 2
Let l = 12 + -7. Factor 3*s**4 + 0*s - 4*s**2 - 4*s - s**l - 6*s**3 - 7*s**4 + 3*s.
-s*(s + 1)**4
Let y(s) be the first derivative of -s**4/22 + 10*s**3/33 + 13*s**2/11 + 14*s/11 + 20. Let y(j) = 0. What is j?
-1, 7
Let l(h) be the second derivative of -h**8/112 - 4*h**7/105 - h**6/20 + h**4/24 + h**2 - 2*h. Let v(o) be the first derivative of l(o). Factor v(t).
-t*(t + 1)**3*(3*t - 1)
Let n(c) = c**4 - 6*c**3 - c**2 - c. Let r be 6/(-8) - (-42)/(-8). Let u(p) = -p**4 + 5*p**3 + p**2 + p. Let t(m) = r*n(m) - 7*u(m). Factor t(v).
v*(v - 1)*(v + 1)**2
Let f(g) be the second derivative of -g**7/280 + g**5/40 + 2*g**3/3 - 2*g. Let y(a) be the second derivative of f(a). Solve y(u) = 0.
-1, 0, 1
Let v(o) be the first derivative of -o**6/2 - 9*o**5/5 - 9*o**4/4 - o**3 + 8. Find g, given that v(g) = 0.
-1, 0
Let x = -6 - -7. Factor 2*j - x + 1 + j**2 - j**3.
-j*(j - 2)*(j + 1)
Let m(a) be the first derivative of a**3/3 - 3*a**2/2 + 2*a - 15. Determine z, given that m(z) = 0.
1, 2
Let f(c) be the second derivative of c**7/126 - c**5/20 - c**4/18 + 4*c - 1. Factor f(a).
a**2*(a - 2)*(a + 1)**2/3
Let x be 28/24*(-4)/(-14). Let k(i) be the first derivative of -1/2*i - x*i**3 + 1/16*i**4 + 3 + 5/8*i**2. Factor k(v).
(v - 2)*(v - 1)**2/4
Let b(v) be the third derivative of v**7/350 - v**6/50 + 3*v**5/50 - v**4/10 + v**3/10 + 39*v**2. Determine i, given that b(i) = 0.
1
Let r be (2 - 2)*(-1)/2. Solve -2*b**3 + 9*b**2 + r*b - 5*b**2 - 2*b = 0.
0, 1
Factor -19 + 0*v + 13 - v + 9*v - 2*v**2.
-2*(v - 3)*(v - 1)
Let h be 4/30 - 0 - 5/(-25). Find v, given that h*v**4 + 0*v**2 - 2/3*v - 1/3 + 2/3*v**3 = 0.
-1, 1
Let d be 36/165 - (-10)/55. Let i(b) be the first derivative of -d*b**5 + 0*b**3 + 2*b + b**4 - 3 - 2*b**2. Factor i(v).
-2*(v - 1)**3*(v + 1)
Factor -2*s**2 - s**4 + 0*s + 0*s + 10*s**3 - 7*s**3.
-s**2*(s - 2)*(s - 1)
Let c(j) = j**2 - 7*j + 8. Let m be c(6). Determine y so that 3*y**3 - 6*y**3 - 6*y**m + 13*y - 4*y = 0.
-3, 0, 1
Let c(g) be the first derivative of -g**3/8 - 15*g**2/16 + 8. Factor c(u).
-3*u*(u + 5)/8
Let u(n) = n**2 + 2*n - 3. Let l be u(-4). Let c(w) be the first derivative of -2*w + 1/3*w**6 + 4/3*w**3 + 1 - w**4 - 2/5*w**l + w**2. Factor c(i).
2*(i - 1)**3*(i + 1)**2
Let y(o) = o**2 - 4*o. Let h be y(4). Let u(n) be the third derivative of -1/105*n**7 - 1/30*n**6 + h*n + 0*n**4 + 0 - 1/30*n**5 - 2*n**2 + 0*n**3. Factor u(i).
-2*i**2*(i + 1)**2
Let o(d) be the third derivative of 1/50*d**5 + 1/300*d**6 - 3*d**2 + 0 + 0*d + 1/15*d**3 + 1/20*d**4. Factor o(w).
2*(w + 1)**3/5
Solve -4 - 1944*c + 3*c**2 + 1920*c + 52 = 0 for c.
4
Let v(f) be the second derivative of -f**5/60 + 2*f**3/3 + 8*f**2/3 - 27*f. Factor v(p).
-(p - 4)*(p + 2)**2/3
Let k be 45/18 - (-1)/(-2). Suppose -3*t + 3*m = 0, 0*t = k*t - 5*m. Factor -1/3*y + 1/3*y**2 + t.
y*(y - 1)/3
Let h(m) = 8*m**4 + 8*m**3 - 68*m**2 + 60*m - 16. Let c(u) = 7*u**4 + 8*u**3 - 69*u**2 + 61*u - 17. Let b(a) = -4*c(a) + 5*h(a). What is s in b(s) = 0?
-3, 1/3, 1
Suppose -23 = 3*v - 4*n, 3*v - 4*n + 28 = n. Let z be ((-5)/25)/v*2. Factor 0*p + 0 + 2/5*p**5 - 2/5*p**3 + z*p**4 - 2/5*p**2.
2*p**2*(p - 1)*(p + 1)**2/5
Let b(d) be the third derivative of d**7/630 - d**6/60 + d**5/15 + d**4/12 - 6*d**2. Let g(w) be the second derivative of b(w). Factor g(h).
4*(h - 2)*(h - 1)
Suppose 26 = -u + j, -2*u - j = 2*u + 94. Let o be ((-3)/u)/((-1)/(-2)). Solve 0 - 1/4*m + o*m**2 = 0 for m.
0, 1
Let z(r) be the third derivative of 225*r**8/448 - 13*r**7/8 + 153*r**6/80 - 21*r**5/20 + r**4/4 - 57*r**2. Determine l so that z(l) = 0.
0, 2/9, 2/5, 1
Let y(p) be the first derivative of -p - 2/7*p**2 + 1/42*p**4 + 1/21*p**3 - 1. Let u(x) be the first derivative of y(x). Factor u(k).
2*(k - 1)*(k + 2)/7
Let l(w) be the second derivative of 0*w**3 + 7/100*w**5 - w + 0 - 1/30*w**4 + 0*w**2. Factor l(r).
r**2*(7*r - 2)/5
Let u(k) be the third derivative of -k**6/6 + 19*k**5/30 + k**4/3 - 4*k**3/3 - 3*k**2. Solve u(i) = 0 for i.
-1/2, 2/5, 2
Factor 0*j - 9/2*j**3 - 3/2*j**4 + 0 + 6*j**2.
-3*j**2*(j - 1)*(j + 4)/2
Let u = 2677/2 + -1370. Let z = -31 - u. Factor 0*a + 1/2 - z*a**2.
-(a - 1)*(a + 1)/2
Let c(s) = -s**2 - 3*s. Let a be c(-2). Factor 2*w**3 - 3 - 3*w**3 + 4 + 1 + w - 2*w**a.
-(w - 1)*(w + 1)*(w + 2)
Let a be (2/6)/((-28)/(-56)). Solve 0 - 4/3*g + a*g**2 = 0 for g.
0, 2
Factor 0 - 5/2*b**3 + 5/2*b**2 + 5*b.
-5*b*(b - 2)*(b + 1)/2
Let 42*d**4 + 300*d**2 + 1250 - 1000*d + 47*d**4 + 48*d**4 - 40*d**3 - 135*d**4 = 0. Calculate d.
5
Let 4/7*d**2 - 4/7*d + 0 = 0. Calculate d.
0, 1
Factor 2/9*x**2 + 0*x + 2/9*x**3 + 0.
2*x**2*(x + 1)/9
Let f(h) be the second derivative of 3*h**8/800 + 2*h**7/525 - h**6/360 - h**5/150 - h**4/4 - 3*h. Let d(r) be the third derivative of f(r). Factor d(w).
2*(3*w + 1)**2*(7*w - 2)/5
Let h = -16 + 16. Let v = 19/22 - 4/11. Factor 1/2*b + b**2 + h + v*b**3.
b*(b + 1)**2/2
Let d = 42 - 38. Let f(x) be the first derivative of -1/4*x**2 - 1/20*x**5 + 0*x + 1/8*x**d + 1/12*x**3 + 4. Factor f(w).
-w*(w - 2)*(w - 1)*(w + 1)/4
Let v be (8 + (-126)/12)/(10/(-3)). Factor -v*j**4 + 1/4 + 3/4*j + 1/2*j**2 - 1/2*j**3 - 1/4*j**5.
-(j - 1)*(j + 1)**4/4
Let u(j) = -2*j + 0*j + 3*j**2 + 3*j. Let d be u(-1). Let q(s) = 20*s**2 + s - 9. Let c(a) = -5*a**2 + 2. Let b(y) = d*q(y) + 9*c(y). Factor b(k).
-k*(5*k - 2)
Let w = -127/204 + 12/17. Let x(c) be the second derivative of 1/6*c**3 + 0 + 1/60*c**5 + w*c**4 - 2*c + 1/6*c**2. Determine b, given that x(b) = 0.
-1
Let u(i) be the third derivative of -i**8/3360 + i**6/120 + i**5/30 - i**4/24 - 3*i**2. Let g(o) be the second derivative of u(o). What is r in g(r) = 0?
-1, 2
Factor -2/9*g**4 - 2/9*g**5 + 0*g + 0 + 2/9*g**2 + 2/9*g**3.
-2*g**2*(g - 1)*(g + 1)**2/9
Let j(n) = 5*n**3 + 11*n**2 + 5*n. Let l(d) = -6*d**3 - 12*d**2 - 4*d. Let i(s) = -4*j(s) - 3*l(s). Factor i(w).
-2*w*(w + 2)**2
Let z(l) be the second derivative of 2/3*l**2 + 1/9*l**4 + 5/9*l**3 + 0 - l. Suppose z(i) = 0. Calculate i.
-2, -1/2
Let z = 313/12 - 103/3. Let m = z - -35/4. Suppose -m*y**3 - 1/2*y**2 + 0 + 0*y = 0. Calculate y.
-1, 0
Factor 40*z**2 - 5*z**4 - 15*z**3 + 5 - 50*z**2 - 5.
-5*z**2*(z + 1)*(z + 2)
Factor -8/3*f - 8/3 - 2/3*f**2.
-2*(f + 2)**2/3
Let n be 9/5 - (-2)/10. Suppose n*j**2 + 0*j + 5*j**2 - 6*j**2 + 3*j**3 - 2*j = 0. Calculate j.
-1, 0, 2/3
Let x(s) = s**2 - 4*s. Let i(u) = u**2 + 2*u + 1. Let p be i(-3). Let g be x(p). Suppose 1/5*c + 0 + g*c**2 - 1/5*c**3 = 0. Calculate c.
-1, 0, 1
Let k(y) be the second derivative of y**5/70 - y