**3 - 6*z**3 + 21*z**3 = 0.
0, 4
Let o(s) be the first derivative of s**6/2 - 3*s**5/5 - 3*s**4/4 + s**3 + 4. Determine h, given that o(h) = 0.
-1, 0, 1
Let v(n) be the second derivative of -n**4/18 + 2*n**3/9 - n**2/3 + 9*n. Factor v(l).
-2*(l - 1)**2/3
Let l(g) = g**3 - 7*g**2 + 9*g + 5. Let o be l(5). Let -2/5*r**2 + o + 0*r - 6/5*r**3 = 0. Calculate r.
-1/3, 0
Let d(b) be the first derivative of -2*b**3/27 - 2*b**2/3 - 2*b - 16. Factor d(f).
-2*(f + 3)**2/9
Suppose 0 = 4*d + 2*d + 108. Let j = -15 - d. Solve 0 + 2/7*l**j + 16/7*l**2 + 8/7*l - 6/7*l**4 = 0 for l.
-1, -2/3, 0, 2
Let p(s) be the second derivative of -13/6*s**3 + 1/2*s**5 + 0 + 1/2*s**2 + 23/6*s**4 - 125/42*s**7 - 35/6*s**6 - 5*s. Suppose p(c) = 0. Calculate c.
-1, 1/5
Suppose -6*r = -4*r - 4. Find h, given that -20*h + 10*h + 7*h + h**r = 0.
0, 3
Let 2/11*i**5 - 4/11*i**4 + 2/11*i - 4/11*i**3 + 8/11*i**2 - 4/11 = 0. What is i?
-1, 1, 2
Let j be (-2)/(-4) - (-33)/(-6). Let s = j - -8. Suppose 2*u**2 - u**2 + s*u**3 + 2*u**4 + 0*u**4 = 0. Calculate u.
-1, -1/2, 0
Let z(l) = l**3 + 13*l**2 + 11*l - 10. Let b be z(-12). Let i(r) be the first derivative of b + 2*r + 2*r**3 + 1/2*r**4 + 3*r**2. What is d in i(d) = 0?
-1
Factor 3/7*g**2 + 6/7*g + 3/7.
3*(g + 1)**2/7
Let n(c) be the first derivative of 2/3*c**3 + 0*c**2 + 1 + 1/2*c**4 + 0*c. Let n(j) = 0. Calculate j.
-1, 0
Find b such that b - b**2 - 10*b - 2*b**2 + 3*b = 0.
-2, 0
Factor 1/4*q**4 + 0*q - 1/4*q**3 + 0 + 0*q**2.
q**3*(q - 1)/4
Factor -7*z**2 + 19*z**2 - 15*z + 7 - 1 - 20*z**3 + 17*z**3.
-3*(z - 2)*(z - 1)**2
Let t(f) be the first derivative of f**4 + 4*f**3 + 4*f**2 - 16. Factor t(r).
4*r*(r + 1)*(r + 2)
Let g(x) be the second derivative of -1/6*x**4 + 1/3*x**3 + x**2 + 0 + 2*x - 1/10*x**5. Factor g(v).
-2*(v - 1)*(v + 1)**2
Let y(t) be the second derivative of 3*t**5/8 + 5*t**4/24 - 5*t**3/4 - 5*t**2/4 + 3*t. Factor y(u).
5*(u - 1)*(u + 1)*(3*u + 1)/2
Let t(m) = 6*m**4 - 51*m**3 + 36*m**2 + 51*m - 21. Let q(c) = -c**4 + 10*c**3 - 7*c**2 - 10*c + 4. Let v(f) = -21*q(f) - 4*t(f). Factor v(j).
-3*j*(j - 1)*(j + 1)*(j + 2)
Let o(w) be the first derivative of 1 + 2/15*w**5 + 0*w**2 - 2/9*w**3 + 0*w**4 + 0*w. Let o(c) = 0. Calculate c.
-1, 0, 1
Let r(t) be the second derivative of t**5/6 + 26*t**4/9 + 145*t**3/9 + 50*t**2/3 + 17*t. Factor r(s).
2*(s + 5)**2*(5*s + 2)/3
Suppose 2*s + t = -18, -2*s + 3*s - 3*t + 2 = 0. Let u = s + 11. Find h, given that 3*h**5 + h**u - 2*h**3 - 2*h**5 = 0.
-1, 0, 1
Let o(x) be the third derivative of -2*x**6/3 - 10*x**5/3 - 85*x**4/24 - 5*x**3/3 + 42*x**2. Factor o(k).
-5*(k + 2)*(4*k + 1)**2
Let r(z) = 2*z**2 + 14*z - 10. Let c(t) = t**2 + 13*t - 9. Let q(y) = -6*c(y) + 5*r(y). Factor q(k).
4*(k - 1)**2
Let o(g) = g**2 - 2. Let a be o(2). Suppose 0 = -y - 4*n + 10, -3*y + a + 6 = n. What is v in -1/4*v**3 + 0 - 1/4*v**y + 0*v = 0?
-1, 0
Let f(t) = -t. Let n(r) = -2*r**2 + 8*r - 2. Let j(y) = 12*f(y) + n(y). Factor j(z).
-2*(z + 1)**2
Let a = -48/13 - -266/65. Let s(i) be the first derivative of -1 + 0*i**2 - a*i + 2/15*i**3. Factor s(t).
2*(t - 1)*(t + 1)/5
Let t(i) be the first derivative of -7*i**5/90 - i**4/18 - i**2/2 - 1. Let u(r) be the second derivative of t(r). Factor u(n).
-2*n*(7*n + 2)/3
Let q(j) = 36*j**2. Let y be q(1). Let n be (2/30)/(4/y). Determine l so that 0*l + 0 + 0*l**2 - n*l**3 - 3/5*l**4 = 0.
-1, 0
Let b(k) be the first derivative of 9*k + 5 + 12*k**2 + 22/3*k**3 + 1/5*k**5 + 2*k**4. Factor b(u).
(u + 1)**2*(u + 3)**2
Let j(p) be the second derivative of -4*p + 0 - 1/10*p**3 - 1/20*p**4 - 1/100*p**5 - 1/10*p**2. Factor j(m).
-(m + 1)**3/5
Find p, given that -p**4 - 1 - 3*p**3 - 6*p**2 + 12*p**3 - 4*p - 13*p**3 = 0.
-1
Let j(s) be the first derivative of s**4/16 - s**3/3 - 5*s**2/8 + 21. Factor j(f).
f*(f - 5)*(f + 1)/4
Let t(x) = -3*x**4 + 6*x**3 + 4*x**2 - 4*x. Let f(c) = 3*c**4 - 6*c**3 - 5*c**2 + 5*c. Let o(h) = 4*f(h) + 5*t(h). Let o(n) = 0. Calculate n.
0, 2
Let j(l) be the third derivative of l**5/160 + 5*l**4/64 - 3*l**3/8 + 34*l**2. Factor j(z).
3*(z - 1)*(z + 6)/8
Let d = 5/36 - -1/9. Factor -1 + d*o**2 + o - 1/4*o**3.
-(o - 2)*(o - 1)*(o + 2)/4
Suppose 3*c + 0*c = 3*u + 6, -2*u = c - 8. Factor 24*x + 21*x - 27 - 9*x**u + 3*x**3 - 12*x**2.
3*(x - 3)**2*(x - 1)
Find l such that 16/3*l**3 + 1/3*l - 8/3*l**2 + 0 = 0.
0, 1/4
Let j = 417/10 - 206/5. Factor -1/2 - j*b**2 - b.
-(b + 1)**2/2
Let u(b) be the first derivative of b**3 - 36*b**2 + 432*b + 11. Factor u(k).
3*(k - 12)**2
Let t(k) be the third derivative of k**7/140 - k**6/40 - 3*k**5/40 + k**4/4 + k**3 + 11*k**2. Factor t(v).
3*(v - 2)**2*(v + 1)**2/2
Suppose 0 - 7/2*x**4 - 5/2*x**2 + 9/2*x**3 + 1/2*x + x**5 = 0. Calculate x.
0, 1/2, 1
Let n be (-3)/(-72)*-2*-3. Let y = -24 + 49/2. Let n*r + 0 + 1/4*r**3 + y*r**2 = 0. Calculate r.
-1, 0
Let j be 22/11*(-5)/(-2). Suppose -j*p = -3*k, 0 = -p + 3*k + 2*k - 22. Let 10/3*t**p + 4/3 + 6*t + 8*t**2 = 0. What is t?
-1, -2/5
Let j(o) be the second derivative of -o**6/180 - o**5/15 - o**4/3 - 8*o**3/9 + 2*o**2 - 2*o. Let c(t) be the first derivative of j(t). Factor c(b).
-2*(b + 2)**3/3
Let y(m) be the second derivative of m**4/6 - 4*m**3/3 + 4*m**2 - 9*m. Suppose y(i) = 0. What is i?
2
Factor 0*j + 36*j + 9*j**4 - 15*j**4 + 81*j**3 - 9*j**4 - 120*j**2.
-3*j*(j - 3)*(j - 2)*(5*j - 2)
Solve -5*w + 9*w**3 - 8*w**3 + 1 - w**2 + 4*w = 0 for w.
-1, 1
Factor 0*n**2 - 2/9*n**5 - 2/9*n**3 + 0 - 4/9*n**4 + 0*n.
-2*n**3*(n + 1)**2/9
Let w(k) = 2*k**3 + 2*k**2 + 2*k - 2. Let r(v) = -6*v**2 + 5*v - 5*v**3 - 8*v - 3*v + 6. Let o(t) = -4*r(t) - 11*w(t). Suppose o(u) = 0. What is u?
-1, 1
Let q(a) be the third derivative of -a**7/1680 - a**6/320 + 3*a**5/160 - 5*a**4/192 - 30*a**2. Factor q(f).
-f*(f - 1)**2*(f + 5)/8
Let g(w) be the third derivative of w**5/20 - w**4/8 - w**3 - 13*w**2. Suppose g(c) = 0. What is c?
-1, 2
Let b(t) = -t**3 + t. Let z(a) = -8*a**3 + 18*a**2 + 18*a - 8. Let w(i) = -6*b(i) - z(i). Solve w(v) = 0.
-1, 2/7, 2
Let t = -560 + 1684/3. Let -f**3 + 0 + 4/3*f + t*f**2 = 0. Calculate f.
-2/3, 0, 2
Let w(d) = -d**3 + 5*d**2 - 2*d - 2. Let n be w(2). Let u be (4/(-3))/((-4)/n). Let -6*v**3 - v**5 + 6*v**4 + u*v**2 - v**5 + 0*v**2 = 0. What is v?
0, 1
Suppose -2*i + 12 + 0 = 0. Let s = i - 2. Suppose 4*q + q**2 - 2*q**3 + q**2 - s*q**2 = 0. What is q?
-2, 0, 1
Let y(u) be the third derivative of u**7/126 + u**6/12 + u**5/4 - 3*u**2 + 2. Factor y(m).
5*m**2*(m + 3)**2/3
Let s be (144/54)/((-7)/(-6)). Let z(a) = -a**2 + 6*a - 3. Let l be z(5). Solve -10/7*h**l - 8/7 - 2/7*h**3 - s*h = 0.
-2, -1
Let p be (3/(-4))/(5/(-150)). Let f = p + -22. Factor 0 - 1/2*j**2 - f*j.
-j*(j + 1)/2
Let a(j) be the first derivative of 2*j**5/35 + j**4/7 - 10*j**3/21 - 6*j**2/7 - 49. Suppose a(o) = 0. What is o?
-3, -1, 0, 2
Let r be (15/(-20)*4/6)/(-2). Solve r*l**3 + 1/4*l + 0 - 1/2*l**2 = 0.
0, 1
Suppose 6 = -3*d, -3*d + 1 = -2*a + 3*a. Let o(j) = 3*j**2 - 2*j. Let c(r) = -10*r**2 + 6*r. Let s(m) = a*o(m) + 2*c(m). Factor s(g).
g*(g - 2)
Let n(k) be the second derivative of -k**5/30 + k**4/18 - 5*k. Find c such that n(c) = 0.
0, 1
Suppose -3*u + 22 = 2*i + 2*u, 4*i + 16 = 5*u. Factor 4 - 3 - 4 + n**2 + n + i.
(n - 1)*(n + 2)
Let u(z) be the third derivative of z**5/60 - z**4/6 + z**3/2 + z**2. Find l, given that u(l) = 0.
1, 3
Let n(q) = q + 16. Let g be n(-11). Solve -k**3 - 4*k + 3*k - 5*k**3 - k**g + 4*k**2 + k**4 + 3*k**4 = 0 for k.
0, 1
Factor 0 + 2/5*x**2 + 0*x.
2*x**2/5
Let r be (-2)/(-9) - (-42)/297. What is k in 8/11*k**2 - 2/11*k**3 + r - 10/11*k = 0?
1, 2
Let q(c) be the third derivative of c**8/840 - c**6/180 + c**3/3 - c**2. Let j(k) be the first derivative of q(k). Factor j(x).
2*x**2*(x - 1)*(x + 1)
Let x(b) be the first derivative of b**3/12 - b**2/8 - 10. Suppose x(i) = 0. What is i?
0, 1
Let x(c) be the second derivative of -c**10/15120 + c**9/7560 + c**8/3360 - c**7/1260 + c**4/6 - c. Let y(o) be the third derivative of x(o). Factor y(l).
-2*l**2*(l - 1)**2*(l + 1)
Suppose -4 = 4*q - 5*q. Factor -5*c**3 + 9*c**4 + 0*c + 7*c**5 + q*c - 9*c**2 - 5*c - c.
c*(c - 1)*(c + 1)**2*(7*c + 2)
Let s(g) be the second derivative of 3*g**5/100 + g**4/20 + 6*g. What is h in s(h) = 0?
-1, 0
Let p(f) be the first derivative of f**6/75 - f**4/30 + 7*f - 6. Let v(q) be the fir