*4 + 1 - 6 + 10*w**2 - 8*w**3 - 4*w.
2*w*(w - 2)*(w - 1)**2
Suppose 8 = 4*w - 2*w, -v - 2*w + 11 = 0. Factor -4/5*u**4 + 0*u + 24/5*u**v - 36/5*u**2 + 0.
-4*u**2*(u - 3)**2/5
Suppose 1 = -2*f + t + 5, -f + 5*t = 16. Suppose -4*a - 4*l = 0, f*a = l + 6 + 9. Factor 2/3*p**2 - 1/3*p**4 + 0*p**a - 1/3 + 0*p.
-(p - 1)**2*(p + 1)**2/3
Suppose -10 = 4*d - 18. Let x(s) be the first derivative of d*s + 20*s**3 + 3*s**6 + 23*s**4 + 9*s**2 + 1 + 66/5*s**5. Factor x(a).
2*(a + 1)**3*(3*a + 1)**2
Let b(h) be the second derivative of h**5/4 - 5*h**3/2 - 5*h**2 + 54*h - 2. Factor b(i).
5*(i - 2)*(i + 1)**2
Suppose -8 = 3*g - y + 3*y, 5*g + 4 = -y. Factor -1/3 + 2/3*x**2 + 0*x - 1/3*x**4 + g*x**3.
-(x - 1)**2*(x + 1)**2/3
Let b be (-3)/((-36)/15) - -1. Factor b + 55/4*w**2 - 25/4*w**3 - 39/4*w.
-(w - 1)*(5*w - 3)**2/4
Factor 2*i**2 - 3*i**2 + 3*i**3 - 3*i + i**2.
3*i*(i - 1)*(i + 1)
Let j(u) be the first derivative of 16*u**3/3 + 6*u**2 - 4*u + 24. Factor j(s).
4*(s + 1)*(4*s - 1)
Let l(p) be the third derivative of 3*p**5/10 - p**4/8 - p**3 + 3*p**2 - 3. Find g such that l(g) = 0.
-1/2, 2/3
Let s be ((-27)/(-15) - 2)/(-24). Let p(z) be the second derivative of 0*z**2 + 1/80*z**5 + 0 + s*z**6 - 1/24*z**3 - 1/48*z**4 + 2*z. Factor p(c).
c*(c - 1)*(c + 1)**2/4
Let i(o) = -o**3 + o**2 - 1. Suppose -3*k + 3 - 18 = -3*w, 13 = 5*w - k. Let r(g) = -3*g**3 + 5*g. Let f(u) = w*i(u) + r(u). Factor f(x).
-(x - 1)*(x + 1)*(5*x - 2)
Let v(m) = 4*m**2 + m**2 - 6*m + 0*m**2. Let n(d) = 6*d**2 - 7*d. Let b(h) = 6*n(h) - 7*v(h). Suppose b(q) = 0. Calculate q.
0
Let z(b) be the third derivative of b**7/105 - b**6/240 - b**5/10 - 5*b**4/48 + b**3/6 + 7*b**2. Suppose z(m) = 0. What is m?
-1, 1/4, 2
Let p(f) be the first derivative of -f**7/1680 - f**6/240 + f**4/12 + 4*f**3/3 + 3. Let l(j) be the third derivative of p(j). Factor l(i).
-(i - 1)*(i + 2)**2/2
Factor -2/11*i**4 + 0*i**2 + 2/11*i**5 + 0*i**3 + 0 + 0*i.
2*i**4*(i - 1)/11
Let r = 0 + 2. Let c be (-1)/12 + (-3)/(-9). Factor 1/4*f**r + c - 1/2*f.
(f - 1)**2/4
Let c(t) be the third derivative of 0*t**3 + 0 - 3/20*t**5 + 4*t**2 - 1/70*t**7 + 0*t + 1/8*t**4 + 3/40*t**6. Factor c(v).
-3*v*(v - 1)**3
Determine p so that 3*p - 1 + 2*p**2 + 1 - p = 0.
-1, 0
Let a(l) be the third derivative of -l**5/24 + 35*l**4/24 - 245*l**3/12 - 14*l**2. Let a(z) = 0. Calculate z.
7
Let o(l) = l - 4. Let t be o(7). Solve 5*w + 6*w**2 - 4*w**2 - t*w = 0.
-1, 0
Suppose -5*k + 9 = -2*k. Suppose b + 0 = 3*q - 5, q - 2*b = 0. Factor -s**3 + 0*s**2 + 2*s**k + s**q.
s**2*(s + 1)
Factor 3/5*s**2 + 6/5 + 9/5*s.
3*(s + 1)*(s + 2)/5
Let u be (3/(-36) - 0)*(1 + -4). Solve -u*r**2 - 1/2*r + 0 = 0.
-2, 0
Let c = -16 + 22. Let u be 1*c*5/15. Find t such that -2/5*t**u + 0*t + 2/5*t**3 + 0 = 0.
0, 1
Let j(a) = -8*a**3 - a. Let w be j(1). Let r = 19/2 + w. Find i, given that r*i**2 + i + 0 = 0.
-2, 0
Factor -2/3*d**2 + 4/3*d + 0.
-2*d*(d - 2)/3
Let t(i) = -i**3 + 3*i**2 - 4*i + 4. Let b be t(2). Let j(a) be the first derivative of 2 + 0*a**2 + 1/9*a**3 + b*a. Factor j(x).
x**2/3
Let p(w) be the second derivative of 5/12*w**4 + 0 - w - w**2 + 1/2*w**3. Factor p(t).
(t + 1)*(5*t - 2)
Let i(o) be the third derivative of o**7/1470 - o**6/280 + o**5/420 + o**4/56 - o**3/21 + 52*o**2. Factor i(b).
(b - 2)*(b - 1)**2*(b + 1)/7
Let y(z) be the third derivative of z**6/60 - z**5/5 + 3*z**4/4 - 4*z**3/3 + 14*z**2. Factor y(f).
2*(f - 4)*(f - 1)**2
Solve 34/13*o**3 + 42/13*o**4 - 66/13*o**2 - 18/13*o + 8/13*o**5 + 0 = 0.
-3, -1/4, 0, 1
Solve y**2 + 8 - 4 + 4*y + 3 - 3 = 0 for y.
-2
Let p = 146896/62139 - 2/5649. Factor -p*m**4 + 2/11*m**2 - 10/11*m**5 + 0 - 18/11*m**3 + 4/11*m.
-2*m*(m + 1)**3*(5*m - 2)/11
Let y = 7 + -7. Let i(f) be the third derivative of 0*f - 1/240*f**6 + 2*f**2 + 0*f**3 + y + 0*f**5 + 0*f**4. Factor i(l).
-l**3/2
Suppose 4*f - 3 = 17. Let s = 112 + -109. Find q, given that 2*q**5 - q**s + q**f - 2*q**3 = 0.
-1, 0, 1
Let a(o) = o**2 - 8*o + 1. Let i be a(8). Let h be 42/15 + i/5. Factor -3*m - m**4 - m + h*m**3 - 3*m**2 + 5*m + 0*m.
-m*(m - 1)**3
Let n(c) be the third derivative of 3*c**2 + 0 + 1/32*c**4 + 0*c + 1/80*c**5 + 0*c**3 - 1/80*c**6. Suppose n(j) = 0. Calculate j.
-1/2, 0, 1
Suppose 0 = -a + 8 - 3. What is z in 3*z**3 + 11*z**2 + 3*z + 0*z - a*z**2 = 0?
-1, 0
Let v(u) be the first derivative of -1/2*u + 1 + 1/3*u**3 + 1/12*u**6 - 1/10*u**5 + 1/4*u**2 - 1/4*u**4. Suppose v(c) = 0. What is c?
-1, 1
Let o = -85 - -155. Let j be 58/o + (-21)/49. Factor -6/5*y**2 + 6/5*y + 2/5*y**3 - j.
2*(y - 1)**3/5
Suppose -27 - 3*k**2 + 27 + 6*k = 0. Calculate k.
0, 2
Let n(y) = 6*y**5 + 4*y**3 + 8*y**2 - 6*y. Let d(g) = 5*g**5 - g**4 + 3*g**3 + 7*g**2 - 5*g. Let o(r) = 4*d(r) - 3*n(r). Factor o(s).
2*s*(s - 1)**3*(s + 1)
Let -24/5*z - 3/5*z**3 + 12/5 + 3*z**2 = 0. What is z?
1, 2
Let x = -4/93 - -74/279. Let l(s) be the third derivative of -x*s**3 - 1/36*s**4 + 4*s**2 + 0 + 1/180*s**6 + 1/45*s**5 + 0*s. Solve l(f) = 0 for f.
-2, -1, 1
Suppose -3*m + 4*m = 0. Let p = -84 - -421/5. Factor -p*r + 1/5*r**3 + 0*r**2 + m.
r*(r - 1)*(r + 1)/5
Let j(p) be the second derivative of 13*p**4/66 - 2*p**3/33 - p. What is w in j(w) = 0?
0, 2/13
Let j(x) = 12*x**2 + 39*x - 36. Let a(h) = -3*h**2 - 10*h + 9. Let s(y) = -15*a(y) - 4*j(y). Let s(d) = 0. Calculate d.
-3, 1
Let f(q) be the second derivative of q**4/30 - 2*q**3/15 - 8*q**2/5 + q + 1. Factor f(i).
2*(i - 4)*(i + 2)/5
Suppose 4*f**3 + 4/3*f**4 + 0*f + 0 + 8/3*f**2 = 0. What is f?
-2, -1, 0
Factor 0*y + 0*y**4 + 0*y**2 + 1/4*y**3 + 0 - 1/4*y**5.
-y**3*(y - 1)*(y + 1)/4
Let n(s) be the third derivative of s**9/20160 - s**8/3360 + s**7/1680 - s**5/15 - 5*s**2. Let j(f) be the third derivative of n(f). Factor j(m).
3*m*(m - 1)**2
Let h be (-1)/(1*(-2)/(-102)). Let o be h/(-9) + -3 + -2. Find y, given that -1/6*y**2 + o*y - 2/3 = 0.
2
Let g = 25 + -49/2. Let x(y) be the first derivative of 1/4*y**2 - g*y**4 - 1/12*y**3 + 0*y - 1 - 1/4*y**5. Determine f so that x(f) = 0.
-1, 0, 2/5
Determine v so that -8/3 - 106/3*v**2 + 14*v**3 + 6*v**4 + 18*v = 0.
-4, 1/3, 1
Let m(n) = -4*n**3 - 4*n**2 - n - 1. Let z(u) = u**4 + u**2 + u - 1. Let x(l) = 5*m(l) - 5*z(l). Determine s so that x(s) = 0.
-2, -1, 0
Let q(v) = v**2 + v. Let k be q(-2). Factor 0*f**4 - f**4 - 40*f**2 + 36*f**k + 5*f**4.
4*f**2*(f - 1)*(f + 1)
Let z(h) = h**3 + 14*h**2 + 12*h - 13. Let r be z(-13). Let t(o) be the first derivative of -1 + r*o + o**2 - 2/3*o**3. Factor t(c).
-2*c*(c - 1)
Suppose 0 = 2*v - 0*v - 6. Suppose o - v*p = 11, -5*p - 13 + 6 = 4*o. Factor 2*f**3 + 1 + f - 3*f**3 - 3*f**2 + 2*f**o + 0*f**2.
-(f - 1)*(f + 1)**2
Suppose -5*h = -4*b - 34, h + 3*h - b - 25 = 0. Let l(m) = m - 4. Let a be l(h). Factor -1/3*j + 0 + 1/3*j**a.
j*(j - 1)/3
Let h(r) be the second derivative of 1/6*r**3 - 1/12*r**4 + 4*r - 1/20*r**5 + 0 + 1/2*r**2. Solve h(u) = 0.
-1, 1
Find z, given that -2/7*z**2 + 0 - 2/7*z**3 + 4/7*z = 0.
-2, 0, 1
Let v be (0 - 2) + (-68)/(-16). Let y = -2 + v. Determine f, given that 0 + 0*f + 0*f**3 + 0*f**2 - y*f**4 = 0.
0
Let i = 124 + -121. Let j(t) be the third derivative of -3/8*t**4 + t**2 + t**i + 0 + 1/20*t**5 + 0*t. Solve j(w) = 0.
1, 2
Suppose 4*z - 12 = 4. Let a be (-1)/1 + -3 + z. Factor 0*n + 1/3*n**5 - n**3 + 0 + a*n**4 + 2/3*n**2.
n**2*(n - 1)**2*(n + 2)/3
Let j(h) be the third derivative of -h**8/84 + 4*h**7/105 - h**6/30 - 11*h**2. Suppose j(d) = 0. What is d?
0, 1
Let d = 6 - 2. Suppose -3*l**2 - 2*l**2 - d + 2*l**4 + 0 + 7*l**2 + 6*l**3 - 6*l = 0. Calculate l.
-2, -1, 1
Suppose -10 + 5*p**2 - 15*p**5 - 10*p**4 + 15*p**2 + 0*p**4 + 30*p**3 - 15*p = 0. Calculate p.
-1, -2/3, 1
Factor 12*a**3 - 7*a**4 - a**2 + 3*a**2 + 0*a**3 + 25*a**4.
2*a**2*(3*a + 1)**2
Let b(x) be the second derivative of x**5/40 - x**4/24 - 5*x**3/12 - 3*x**2/4 - 25*x. Let b(a) = 0. What is a?
-1, 3
Let f(m) = -3*m**3 + 27*m**2 + 28*m + 5. Let q(a) = a**3 - 13*a**2 - 14*a - 3. Let z(t) = 3*f(t) + 7*q(t). Determine d so that z(d) = 0.
-3, -1
Let q = 23 - 45/2. Let w(v) be the first derivative of 0*v**3 + 0*v - q*v**4 - 2/5*v**5 + 0*v**2 - 1. Factor w(k).
-2*k**3*(k + 1)
Let r(l) be the first derivative of 2*l**2 - 6 + 2/3*l**3 + 2*l. Factor r(z).
2*(z + 1)**2
Let w(i) be the first derivative of 2*i**3/27 + 5*i**2/9 - 19. Factor w(o).
2*o*(o + 5)/9
Let