j. Factor g**3 + g**2 - g - 3 + 2 + 0*g**v.
(g - 1)*(g + 1)**2
Let x = -4 + 8. Factor 12*t - 6*t**2 - 13 + 5 - 3*t**3 + x*t**3.
(t - 2)**3
Factor 5 - 37*f - 3*f**2 + 47*f + 8*f**2.
5*(f + 1)**2
Let s(f) = -2*f - 16. Let d be s(-13). Let j be d/(-4)*(-13)/65. Let -l + j*l**2 + 1/2 = 0. What is l?
1
Let a(s) be the second derivative of s**4/60 - s**3/15 - 13*s. Factor a(h).
h*(h - 2)/5
Let j(m) = -m**2 - 5*m - 6. Let v(l) = -2*l**2 - 10*l - 12. Let o(w) = -5*j(w) + 2*v(w). Factor o(f).
(f + 2)*(f + 3)
Let v = -10 - -10. Suppose v*o = -o. Factor -2/5*x**2 + 4/5*x**3 + 0 + o*x - 2/5*x**4.
-2*x**2*(x - 1)**2/5
Let g(x) = -x**2 + x - 4. Let s(l) be the third derivative of l**5/60 + l**3/2 - 6*l**2. Let i(y) = 2*g(y) + 3*s(y). Factor i(n).
(n + 1)**2
Let y be -2*(2 + 1 - 4). Let s**4 + 3*s**3 + s**3 - 3*s**3 - y*s**3 = 0. Calculate s.
0, 1
Let q be 6/(-30)*10/(-42). Let m(r) be the first derivative of -q*r**6 - 2/7*r - 2/7*r**5 + 2 - 20/21*r**3 - 5/7*r**4 - 5/7*r**2. Factor m(u).
-2*(u + 1)**5/7
Suppose 6 = -0*u + 2*u. Let r(y) be the second derivative of 0*y**u + y + 0*y**2 + 0 - 1/135*y**6 + 1/45*y**5 + 0*y**4. Determine c, given that r(c) = 0.
0, 2
Let x(w) be the third derivative of -w**6/120 + w**3 - 3*w**2. Let g(k) be the first derivative of x(k). Factor g(f).
-3*f**2
Let g(r) be the third derivative of -2*r**7/21 + 13*r**6/24 - 5*r**5/4 + 35*r**4/24 - 5*r**3/6 - 62*r**2. Factor g(x).
-5*(x - 1)**3*(4*x - 1)
Factor 5/6*t**3 - 5/6*t**2 + 5/6 - 5/6*t.
5*(t - 1)**2*(t + 1)/6
Let x(l) be the first derivative of 5*l**8/168 + l**7/35 - l**6/30 - l**2/2 - 1. Let q(o) be the second derivative of x(o). Suppose q(m) = 0. What is m?
-1, 0, 2/5
Let s(y) be the second derivative of 5*y**4/12 - 5*y**2/2 - 4*y. Factor s(w).
5*(w - 1)*(w + 1)
Let x(g) be the first derivative of -3 + 1/12*g**3 - 1/4*g + 0*g**2. Suppose x(d) = 0. Calculate d.
-1, 1
Let w(d) = -2*d**2 - 2*d - 2. Let b(q) = 9*q**2 + 9*q + 8. Let v(t) = 6*b(t) + 26*w(t). Factor v(r).
2*(r - 1)*(r + 2)
Let c = -1/57 + 59/114. Let d be ((-2)/7)/((-19)/133). Factor 1/2*w**4 + 0 - 1/2*w**d - c*w + 1/2*w**3.
w*(w - 1)*(w + 1)**2/2
Let k(r) be the third derivative of r**5/150 - r**4/2 + 15*r**3 - 54*r**2. Factor k(s).
2*(s - 15)**2/5
Suppose 0 = -222*h + 225*h. Solve h + 0*d**4 + 0*d - 2/5*d**3 + 0*d**2 + 2/5*d**5 = 0 for d.
-1, 0, 1
Let a = 1/204 + 397/2244. Solve 2/11*u - 4/11*u**3 - a + 4/11*u**2 + 2/11*u**5 - 2/11*u**4 = 0 for u.
-1, 1
Let h(t) be the third derivative of -1/6*t**3 + 0*t - 1/180*t**5 + 1/18*t**4 + 0 + 4*t**2. Factor h(y).
-(y - 3)*(y - 1)/3
Factor 0*s + 1/3*s**3 - 2/3*s**2 + 0 + 1/3*s**4.
s**2*(s - 1)*(s + 2)/3
Let y(i) be the third derivative of -i**5/20 - i**4/4 + 7*i**2. Find f, given that y(f) = 0.
-2, 0
Factor -56*g**2 + 1 - 44*g**3 - 40*g**2 - 60*g - 9.
-4*(g + 1)**2*(11*g + 2)
Let d be ((-10)/40)/(1/(-2)). Let j(y) be the first derivative of 0*y + 0*y**3 + 2 - y**2 + d*y**4. Solve j(h) = 0 for h.
-1, 0, 1
Let u(k) be the third derivative of 1/72*k**6 + 0*k - 11/30*k**5 + 5/126*k**7 - 3*k**2 + 0 - 4/9*k**3 + 11/18*k**4. Factor u(b).
(b - 1)*(b + 2)*(5*b - 2)**2/3
Factor -3*j**2 + 9*j**3 - 3*j**4 + 13*j**5 - 10*j**5 - 6*j**4.
3*j**2*(j - 1)**3
Let g(n) be the first derivative of -1/10*n**5 + 1/4*n**4 + 0*n - 1/6*n**3 + 3 + 0*n**2. Find v, given that g(v) = 0.
0, 1
Let p(n) = n**2 - n - 1. Let a(f) = 9*f**2 - 8*f - 6. Let y(h) = a(h) - 5*p(h). Factor y(x).
(x - 1)*(4*x + 1)
Let s(i) be the third derivative of i**7/480 + i**6/90 + 11*i**5/480 + i**4/48 - 5*i**3/6 - 4*i**2. Let j(o) be the first derivative of s(o). Factor j(z).
(z + 1)**2*(7*z + 2)/4
Let l(b) be the first derivative of b**3/3 + 3*b**2/2 + 8. Factor l(x).
x*(x + 3)
Let h(a) = -a**2 - 6*a - 2. Let t be 60/8*(-8)/12. Let j be h(t). Factor 0 + 0*o**2 + o**j - 1/2*o**4 + 0*o.
-o**3*(o - 2)/2
Let i = 43/2 - 83/4. Find r, given that -i*r**3 - 3/4*r - 3/2*r**2 + 0 = 0.
-1, 0
Determine s, given that -2/7 + 6/7*s**4 + 6/7*s - 4/7*s**2 - 2/7*s**5 - 4/7*s**3 = 0.
-1, 1
Let r(b) = -b**3 + b**2. Let n(a) = -a + 1. Let w = 17 - 16. Let u(s) = w*r(s) - n(s). Find x such that u(x) = 0.
-1, 1
Let w(o) be the first derivative of -3*o**5/10 + 33*o**4/8 - 27*o**3/2 + 75*o**2/4 - 12*o + 32. Factor w(m).
-3*(m - 8)*(m - 1)**3/2
Find b, given that 0*b + 0 + 2 - 2*b - b**2 + 3*b = 0.
-1, 2
Let x(w) = 72*w**5 + 107*w**4 + 49*w**3 + 6*w**2 + 5*w. Let n(m) = -72*m**5 - 106*m**4 - 48*m**3 - 6*m**2 - 4*m. Let f(q) = -5*n(q) - 4*x(q). Factor f(b).
2*b**2*(3*b + 1)**2*(4*b + 3)
Find a, given that -1/3*a - 1/3*a**5 - 1/3 + 2/3*a**2 + 2/3*a**3 - 1/3*a**4 = 0.
-1, 1
Let j = -35/3 + 107/9. Let n(r) be the first derivative of 0*r**2 + 0*r - j*r**3 - 3. Find l such that n(l) = 0.
0
Let h = 142 - 140. Factor 2/5*y**h - 6/5*y + 4/5.
2*(y - 2)*(y - 1)/5
Factor 11*g**2 - 5*g - 2*g**3 + 16 - 19*g + g**2.
-2*(g - 2)**3
Let z be (-7)/(105/(-6))*-34. Let p = 171/10 + z. Factor 5/2*q**2 + p*q**3 + 0 - q.
q*(q + 1)*(7*q - 2)/2
Suppose -5*t**2 + 2 + 11*t**2 - 16*t + 3 - 3*t**2 = 0. What is t?
1/3, 5
Let v(g) be the second derivative of -g**4/12 - g**3/3 + g**2 + 8*g. Let s(o) = o**2 + 3*o - 3. Let w(a) = 2*s(a) + 3*v(a). Factor w(h).
-h**2
Let s(a) be the second derivative of 2/15*a**6 + 0 + 0*a**2 - 4*a + 1/6*a**4 + 7/20*a**5 - 1/6*a**3. Let s(q) = 0. What is q?
-1, 0, 1/4
Let l(d) be the second derivative of d**7/63 - 2*d**6/45 - d**5/15 + 4*d**4/9 - 7*d**3/9 + 2*d**2/3 + 59*d. Find n, given that l(n) = 0.
-2, 1
Let r = -30 - -80. Let c be ((-10)/r)/(-1 - 0). Determine v so that -1/5*v + 0 + c*v**2 = 0.
0, 1
Let z be 4/8 + (0/3)/(-1). Factor -1/2*u - 3/2*u**2 + 1 + 1/2*u**3 + z*u**4.
(u - 1)**2*(u + 1)*(u + 2)/2
Determine o so that 1/3*o**2 + 1/6*o**4 + 0*o + 1/2*o**3 + 0 = 0.
-2, -1, 0
Let a(w) be the third derivative of w**7/70 + w**6/30 - w**5/15 + 6*w**2. Factor a(c).
c**2*(c + 2)*(3*c - 2)
Let -26/5*x**3 + 6*x**2 - 14/5*x + 2/5 + 8/5*x**4 = 0. Calculate x.
1/4, 1
Let u(f) be the third derivative of -f**7/525 + f**6/75 - f**5/30 + f**4/30 + 5*f**2. Factor u(m).
-2*m*(m - 2)*(m - 1)**2/5
Let i(x) be the second derivative of -2*x**6/135 - 2*x**5/45 + 4*x**3/27 + 2*x**2/9 + 38*x. Find k, given that i(k) = 0.
-1, 1
Suppose u + 4*l = 0, -3*u + 10 + 4 = -2*l. Suppose -h - 4*h + 2*h**3 + u*h**3 + h - 2*h**2 = 0. Calculate h.
-2/3, 0, 1
Let q(i) = -i**3 + 8*i**2 - i + 6. Let m(c) = 8 + 5 + 19*c**2 - 2*c**2 - 2*c**3 - 2*c. Let y(t) = -6*m(t) + 13*q(t). Solve y(z) = 0 for z.
0, 1
Let z be (-6)/21 - ((-1892)/112)/11. Factor 2*f**4 - z*f**5 - 1/2*f**2 + 0 - 1/4*f**3 + 0*f.
-f**2*(f - 1)**2*(5*f + 2)/4
Let m(r) = -5*r**2 - 2*r - 1. Let g be m(-1). Let h(t) = -t**2 - t + 1. Let b(j) = 6*j**2 + 7*j - 3. Let y(w) = g*h(w) - b(w). Solve y(p) = 0.
-1, -1/2
Let w(j) be the second derivative of 0*j**2 - 1/4*j**4 - 1/5*j**6 + 0*j**3 + 0 - 9/20*j**5 + j. Suppose w(x) = 0. Calculate x.
-1, -1/2, 0
Let 3/2*m**2 - 1/6*m**3 + 0 + 5/3*m = 0. Calculate m.
-1, 0, 10
Suppose 3 = 2*v + 1. Let q(u) = 4*u**2 + 4*u - 5. Let i(p) = p**3 + p - 1. Let o(f) = v*q(f) - 3*i(f). Factor o(s).
-(s - 1)**2*(3*s + 2)
Let a = -488 + 3425/7. Suppose -3/7*v**5 + 0*v**2 - a*v**4 - 6/7*v**3 + 0 + 0*v = 0. What is v?
-2, -1, 0
Let y(m) = m + 2. Suppose -2*u = -u. Let o be y(u). Suppose 5*t**5 - 4 + o*t**2 + 4 - 2*t**4 - 5*t**3 = 0. Calculate t.
-1, 0, 2/5, 1
Factor -7*f**2 + 10*f**2 - 10*f - 3 - 6*f**2.
-(f + 3)*(3*f + 1)
Let z = -173 + 176. Let f(v) be the third derivative of 0*v**6 + 0*v - 1/840*v**7 + 0 + 0*v**z + 0*v**4 + 3*v**2 + 1/240*v**5. Let f(t) = 0. Calculate t.
-1, 0, 1
Suppose 17 + u + 4*u**3 - 4 - 13 - 5*u**2 = 0. Calculate u.
0, 1/4, 1
Suppose -7*w + 12*w - 10 = 0. Let f(h) be the second derivative of 0*h**2 - w*h - 1/3*h**3 + 1/10*h**5 - 1/30*h**6 + 0 + 1/12*h**4. Factor f(y).
-y*(y - 2)*(y - 1)*(y + 1)
Factor -1/3*t**2 + 2/3 + 1/3*t.
-(t - 2)*(t + 1)/3
Let u be 9/24*(-6 + -6)/(-6). Let -u*q**2 - 3/2 + 11/4*q = 0. What is q?
2/3, 3
Suppose v - 36 = -4*v - 4*g, -5*g = -v - 16. Suppose 3*s - 9*s**2 + s**3 + 3*s + 3*s**v - s**3 = 0. Calculate s.
-2, 0, 1
Let r be 5/15*3/3. Suppose -1/3*x - 1/3*x**4 + 0 + r*x**3 + 1/3*x**2 = 0. What is x?
-1, 0, 1
Let h(a) be the first derivative of -a**6/225 - 3*a**5/100 - a**4/30 - 2*a**3/3 + 1. Let i(r) be the third derivative of h(r). Factor i(b).
-2*(b