**3 + 0*v**4 - 12*v = 0. Calculate v.
0, 1, 4
Find b such that -2*b + 8/3*b**3 - 2/3*b**5 + 0*b**4 - 4/3*b**2 + 4/3 = 0.
-2, -1, 1
Let i(p) be the first derivative of -21*p**5/5 + 12*p**4 - 11*p**3 + 3*p**2 + 14. Solve i(z) = 0.
0, 2/7, 1
Suppose 5*a - 10 = -5*w, -3*w - w = a - 8. Suppose 0 = -2*u - w*u. Find z, given that -2/5*z + 2/5*z**2 + u = 0.
0, 1
Factor 0*o + 4*o + 350*o**5 + 8*o**2 - 8*o**4 - 354*o**5.
-4*o*(o - 1)*(o + 1)**3
Let c(x) be the second derivative of -x**7/40 - 2*x**6/15 - 11*x**5/40 - x**4/4 + 3*x**3/2 + 7*x. Let y(t) be the second derivative of c(t). Factor y(j).
-3*(j + 1)**2*(7*j + 2)
What is j in 0*j**2 + 99*j + 6 - 106*j + j**2 = 0?
1, 6
Suppose i + 0 + 6 = 0. Let p be (-1 + 27)/(i/(-3)). What is g in -8*g - 3*g**3 - 4*g**2 - 12*g**2 + p*g**3 = 0?
-2/5, 0, 2
Factor -16/7 + 16/7*h - 4/7*h**2.
-4*(h - 2)**2/7
Let m(b) = b**3 + 9*b**2 + 5*b - 10. Let g be m(-8). Let t be 6/(-21)*g/(-8). Determine c, given that 0 - t*c**2 + 0*c + 3/4*c**3 - 1/4*c**5 + 0*c**4 = 0.
-2, 0, 1
Suppose 0 + 14/5*t**4 - 14/5*t**2 - 22/5*t**3 + 18/5*t**5 + 4/5*t = 0. What is t?
-1, 0, 2/9, 1
Let c be (-42)/(-12)*(-8)/(-14). Determine m so that -11*m**3 + 9*m**4 - 3*m**4 + m**3 - 4*m**c + 8*m**4 = 0.
-2/7, 0, 1
Determine a, given that -30*a**3 + 64*a**3 - 12*a**2 - 26*a**3 - 2*a**4 - 2 + 8*a = 0.
1
Let i(a) be the third derivative of 0 + 0*a + 3*a**2 + 0*a**3 - 1/60*a**5 - 1/120*a**6 + 1/12*a**4. Factor i(b).
-b*(b - 1)*(b + 2)
Let g(m) be the third derivative of -4*m**7/1575 - m**6/900 + 2*m**5/225 + m**4/180 - 6*m**2. Solve g(u) = 0 for u.
-1, -1/4, 0, 1
Factor 5/4*h**2 + 1/4*h**3 + 3/4*h - 9/4.
(h - 1)*(h + 3)**2/4
Let u(r) = -r**4 + r**2 + r. Let v(t) = 3*t**4 + 6*t**3 + 3*t**2 - t. Suppose -3*d = 2*i - 3*i - 11, -3*d + 9 = 0. Let z(m) = i*u(m) - 2*v(m). Factor z(y).
-4*y**2*(y + 1)*(y + 2)
Suppose -8*k + 5*k + 6 = 0. Let j be (k - 1) + (12 - 13). Factor 1/3*f**4 - 1/3*f**3 + j - 1/3*f**2 + 1/3*f**5 + 0*f.
f**2*(f - 1)*(f + 1)**2/3
Let m(o) be the first derivative of o**4/4 + o**3/3 - o**2/2 - o + 5. Let m(z) = 0. What is z?
-1, 1
Factor 3/4*a**2 + 3/2 - 9/4*a.
3*(a - 2)*(a - 1)/4
Suppose 0 = -5*h + 2*j + 21, -4*h + 0*h + 21 = -3*j. Let -10 - 2*m**h - 1 + 2*m + 11 = 0. What is m?
-1, 0, 1
Let d(a) be the second derivative of -2*a - 1/24*a**3 + 0*a**2 + 0 + 1/240*a**6 - 1/96*a**4 + 1/80*a**5. Suppose d(h) = 0. What is h?
-2, -1, 0, 1
Let -14/5 - 48/5*j**2 + 54/5*j - 8/5*j**3 = 0. Calculate j.
-7, 1/2
Solve -5*i**4 + 9*i**4 + 7*i**3 - i**4 + 3*i**2 + i**5 + 2*i**4 = 0 for i.
-3, -1, 0
Let i(y) be the first derivative of -8*y**5/5 - 6*y**4 - 2*y**3/3 + 12*y**2 - 8*y - 13. Factor i(z).
-2*(z + 2)**2*(2*z - 1)**2
Let w(j) = -15*j**5 - 28*j**4 - 5*j**3 + 8*j**2 - 3*j. Let m(y) = 30*y**5 + 55*y**4 + 10*y**3 - 15*y**2 + 5*y. Let i(g) = 3*m(g) + 5*w(g). Factor i(s).
5*s**2*(s + 1)**2*(3*s - 1)
Factor 0*n**2 + 6*n**2 - 3*n**2 - 2*n**2.
n**2
Factor 0 + 3/5*d**2 + 6/5*d.
3*d*(d + 2)/5
Let y(l) be the first derivative of 39/5*l**5 - 7*l**3 + 6*l**4 - 3*l**2 - 1 - 6*l**6 + 0*l. Determine t, given that y(t) = 0.
-2/3, -1/4, 0, 1
Let v = -5 - -8. Suppose 2 = v*s - 4. Let -7*b + b + b**s + 2*b**2 = 0. What is b?
0, 2
Suppose -80 = g - 82. Factor 0 - 1/4*t - 1/4*t**g + 1/4*t**4 + 1/4*t**3.
t*(t - 1)*(t + 1)**2/4
Suppose -4*x + 12 = x - 4*a, 0 = 4*x - 2*a - 6. Let t be 2 + -2 + (2 - x). What is y in 2/3 + 2/3*y**t - 4/3*y = 0?
1
Let z(k) be the third derivative of k**4/24 - k**3/6 - 3*k**2. Let l(j) = -j**2 - j - 4. Let r(f) = -2*l(f) + 4*z(f). Suppose r(i) = 0. Calculate i.
-2, -1
Let n(o) = 6*o**3 - 12*o**2 + 6*o. Let r(q) = 7*q**3 - 13*q**2 + 5*q + 1. Let p(y) = -4*n(y) + 3*r(y). Solve p(x) = 0 for x.
1
Suppose 1/4*k + 1/4 - 1/4*k**2 - 1/4*k**3 = 0. What is k?
-1, 1
Let y(s) be the second derivative of s**5/20 - s**3/2 + s**2 + 13*s. Factor y(v).
(v - 1)**2*(v + 2)
Let h(a) be the third derivative of -a**9/5040 + a**8/1120 - a**7/840 - a**4/12 + 3*a**2. Let z(o) be the second derivative of h(o). Solve z(l) = 0 for l.
0, 1
Factor r**2 - 1 + 123*r - 123*r.
(r - 1)*(r + 1)
Let o(w) be the second derivative of -1/4*w**2 - 1/72*w**4 - 1/9*w**3 + 0 - 3*w. Factor o(y).
-(y + 1)*(y + 3)/6
Let h(r) be the first derivative of r**5/5 - r**4/2 + r**2 - r - 18. Factor h(v).
(v - 1)**3*(v + 1)
Let v(m) be the second derivative of m**6/30 - 3*m**5/20 + 2*m**3/3 - 3*m. Let v(j) = 0. Calculate j.
-1, 0, 2
Let b be 7/(-6) + 1 - (-2)/10. Let c(d) be the third derivative of -1/60*d**6 + 0*d + b*d**5 + 0 + 0*d**3 + 0*d**4 + d**2. Factor c(v).
-2*v**2*(v - 1)
Let b(r) = -r**5 + r**2 - r + 1. Let x(f) = -7*f**5 - 15*f**4 - 5*f**3 + 17*f**2 + 8*f + 2. Let t(y) = 2*b(y) - x(y). Factor t(i).
5*i*(i - 1)*(i + 1)**2*(i + 2)
Suppose -9/8*c**3 + 0 - 3/2*c**4 + 0*c**2 + 0*c - 3/8*c**5 = 0. What is c?
-3, -1, 0
Let l(w) be the third derivative of 1/525*w**7 + 0*w + 1/150*w**6 + 0 + 0*w**4 - 1/40*w**8 + 3*w**2 + 0*w**3 + 0*w**5. Suppose l(o) = 0. Calculate o.
-2/7, 0, 1/3
Let t(j) = -2*j**2 - 6*j - 4. Let u be (2 + -1)/((-2)/(-10)). Let a(l) = 2*l**2 + 6*l + 4. Let f(o) = u*a(o) + 4*t(o). Suppose f(h) = 0. Calculate h.
-2, -1
Let z be 12/(-2)*(133/14 - 10). Factor 6/7*i + 0*i**2 + 4/7 - 2/7*i**z.
-2*(i - 2)*(i + 1)**2/7
Let w(v) be the third derivative of v**6/240 - 7*v**4/48 - v**3/2 - 3*v**2 + 14*v. Factor w(c).
(c - 3)*(c + 1)*(c + 2)/2
Let s(v) be the first derivative of v**6/4 + 9*v**5/10 + 9*v**4/8 + v**3/2 - 2. Factor s(k).
3*k**2*(k + 1)**3/2
Let o(n) = -n**2 + n + 1. Let q(r) be the first derivative of 2*r**3/3 - 13*r**2/2 - 4*r - 3. Let k(w) = -6*o(w) - q(w). Factor k(j).
(j + 2)*(4*j - 1)
What is n in -2*n**2 + 2 + 2/7*n**3 - 2/7*n = 0?
-1, 1, 7
Let z(k) be the first derivative of k**7/4620 - k**5/660 + 2*k**3 + 7. Let y(r) be the third derivative of z(r). Find m, given that y(m) = 0.
-1, 0, 1
Let j(w) = -17*w**2 + 4*w + 5. Let r(c) = 26*c**2 - 6*c - 8. Suppose 2*o - 8 = 3*o. Let f(k) = o*j(k) - 5*r(k). Factor f(h).
2*h*(3*h - 1)
Let f(n) = n**4 + 5*n**3 + 5*n**2 - 9*n - 6. Let m(o) = 4*o**4 + 16*o**3 + 16*o**2 - 28*o - 18. Let w(y) = -21*f(y) + 6*m(y). Solve w(t) = 0.
-1, 2, 3
Let h be 0/(-4) - -1*2. Let g(u) = -2*u - 5. Let r be g(-5). Solve -a + a**r - h*a**2 - 2*a**4 + 0*a + 4*a**4 = 0 for a.
-1, 0, 1
Let f(a) be the third derivative of -729*a**6/8 + 999*a**5/10 - 59*a**4/2 + 4*a**3 - 4*a**2 + 5*a. Find h, given that f(h) = 0.
2/27, 2/5
Suppose -4*p - 2*a + 16 = 3*a, -2*p = 5*a - 8. Suppose -c + 5*c - 4 = -4*v, -3*c + 2*v + 8 = 0. Factor 21/4*y**3 + 9/4*y**p - 2 - 5*y - 1/2*y**c.
(y - 1)*(y + 2)*(3*y + 2)**2/4
Factor 15*p**2 + 12*p + 5*p + 9 + 3*p**3 + 4*p.
3*(p + 1)**2*(p + 3)
Let u(m) be the first derivative of -m**4/14 + 8*m**3/21 + m**2/7 - 8*m/7 + 15. Factor u(x).
-2*(x - 4)*(x - 1)*(x + 1)/7
Let w(x) be the second derivative of x**4/48 + x**3/24 + 13*x. Factor w(o).
o*(o + 1)/4
Let i(s) be the first derivative of -1/6*s**3 - 1/8*s**2 + 2 + 1/10*s**5 + 0*s**4 + 1/24*s**6 + 0*s. Find w, given that i(w) = 0.
-1, 0, 1
Suppose 3*t + 0*b = 2*b - 1, 5*b = -4*t + 37. Suppose -l = -0*l, -t*n + 5*l + 21 = 0. Factor 5/3*i**4 - 11/3*i + 2/3 - 17/3*i**3 + n*i**2.
(i - 1)**3*(5*i - 2)/3
Let r(c) be the third derivative of -8*c**2 + 0*c + 0 + 1/60*c**4 + 0*c**3 + 1/150*c**5. Determine a, given that r(a) = 0.
-1, 0
Let i(f) be the third derivative of -f**8/336 - f**7/105 + f**6/15 - f**5/30 - 7*f**4/24 + 2*f**3/3 - 6*f**2. Factor i(y).
-(y - 1)**3*(y + 1)*(y + 4)
Let u(p) = 2*p**2 + 61*p + 90. Let f be u(-29). Let 0 - 1/4*g**f - 1/4*g + 1/2*g**2 = 0. Calculate g.
0, 1
Let q be 3/(-21)*7/(-36). Let s(p) be the second derivative of p + 0*p**3 - 1/30*p**5 + q*p**4 + 0*p**2 + 1/90*p**6 + 0. Factor s(l).
l**2*(l - 1)**2/3
Factor -2*j**2 - 2*j - 3*j + 3*j - 6*j**2.
-2*j*(4*j + 1)
Let v(r) = -r**3 + 10*r**2 - 11*r + 20. Let n be v(9). Determine h, given that -25/4*h**3 - 5/4*h**n + 4*h - 1 = 0.
-1, 2/5
Let p(h) be the first derivative of h**6/15 + 14*h**5/25 + 9*h**4/5 + 8*h**3/3 + 8*h**2/5 - 9. Factor p(r).
2*r*(r + 1)*(r + 2)**3/5
Let q(l) be the second derivative of -l**4/9 - 7*l**3/18 + l**2/3 + l. Find h such that q(h) = 0.
-2, 1/4
Let c(i) = i**3 + 3*i**2 - 2*i - 4. Let y be c(-3). Let 4*x**2 - 5*x**2 + 1 - y*x - 2 = 0. Calculate x.
-1
Suppose 0 = 3*v - q, 0*v - 3*q = 2*v. What is o