 j - 32*s - 3*s**2 = 0. Calculate s.
-2, 2/9
Let h(s) be the third derivative of 0*s**3 + 0 + 1/140*s**7 - 1/16*s**4 + 1/80*s**6 - 1/40*s**5 - 2*s**2 + 0*s. Factor h(j).
3*j*(j - 1)*(j + 1)**2/2
Let x(j) be the second derivative of -j**4/12 + j**3/6 - j**2/2 - 10*j. Let s(a) = -98*a**3 + 30*a**2 - 4*a + 2. Let h(t) = 2*s(t) + 4*x(t). Factor h(l).
-4*l*(7*l - 1)**2
Let u(f) = f**3 - 8*f**2 + f - 5. Suppose -5*x + 28 = -w - 16, -x + 24 = -4*w. Let a be u(x). Let 5*y**2 - y**2 + 5*y + 1 - a*y**2 + 3*y**2 = 0. Calculate y.
-1, -1/4
Let a(h) be the second derivative of -4*h**5/5 - 5*h**4 + 8*h**3/3 + 14*h. Factor a(m).
-4*m*(m + 4)*(4*m - 1)
Let a be 3/(-4) - (-75)/4. Let g be (-8)/(-9) - 4/a. What is f in 8/3*f + 2/3 + 4*f**2 + g*f**4 + 8/3*f**3 = 0?
-1
Let s = -103 + 107. Factor 0 - 4/5*k**3 + 0*k - 6/5*k**5 + 0*k**2 - 2*k**s.
-2*k**3*(k + 1)*(3*k + 2)/5
Find b, given that -4 + 5*b**2 - 8*b**2 + 5*b**2 - 2*b = 0.
-1, 2
Suppose 0 = 16*d - 20*d. Factor 4/5*g**2 + d + 2/5*g**3 + 2/5*g.
2*g*(g + 1)**2/5
Let y(h) be the third derivative of -1/120*h**6 + 0*h**4 + 0*h**3 - 2*h**2 + 0*h - 1/60*h**5 + 0. Let y(w) = 0. Calculate w.
-1, 0
Suppose 2*g = 3*g - 2. Let w(q) be the third derivative of 0*q + 1/120*q**5 - q**g - 1/48*q**4 - 1/12*q**3 + 0 + 1/240*q**6. Factor w(b).
(b - 1)*(b + 1)**2/2
Determine p, given that -6/5*p + 3/5*p**4 - 3/5*p**2 + 0 + 6/5*p**3 = 0.
-2, -1, 0, 1
Let v be -1*2*(-1 - 0). Suppose -3*k - v*c + 18 = 2*c, 8 = k + 2*c. Factor 2/3*p**2 - k*p + 4/3.
2*(p - 2)*(p - 1)/3
Let b(h) be the second derivative of 0*h**5 + 0*h**4 + 0*h**2 + 0*h**6 + 0 + 1/126*h**7 + 4*h + 0*h**3. Factor b(i).
i**5/3
Factor -4/3*i + 0 - 2/3*i**3 + 2*i**2.
-2*i*(i - 2)*(i - 1)/3
Suppose -3*f + 5 = -2*f. Let s be (-8)/36 - (-5)/9. Factor -1/3*m**2 + 0 + 1/3*m**4 - s*m**3 + 0*m + 1/3*m**f.
m**2*(m - 1)*(m + 1)**2/3
Suppose 2*u = -2*u + k + 21, u - k - 9 = 0. Factor -l**5 + l**2 + 4*l**2 - 3*l**2 - 6*l**3 - l**5 + 6*l**u.
-2*l**2*(l - 1)**3
Let d(t) be the third derivative of -3*t**7/70 - t**6/4 - t**5/5 + t**4 - 7*t**2. Determine n so that d(n) = 0.
-2, 0, 2/3
Let a(u) be the third derivative of u**8/26880 - u**7/5040 + u**6/2880 - u**4/12 + 2*u**2. Let b(g) be the second derivative of a(g). Factor b(k).
k*(k - 1)**2/4
Suppose -14*c = -5*c. Determine d, given that c - 3*d**3 - 1/5*d**2 - 7/5*d**5 + 2/5*d - 19/5*d**4 = 0.
-1, 0, 2/7
Let s be 2/(-1) + (-2944)/(-1464). Let t = s - -40/61. Find r such that 0*r + 0 + 2/3*r**2 - t*r**3 = 0.
0, 1
Let d(c) = 4*c**2 - 3*c - 5. Let f(a) = -3*a**2 + 2*a + 4. Let p(s) = s**2 + 2*s - 3. Let j be p(-4). Let n(b) = j*f(b) + 4*d(b). Solve n(i) = 0.
0, 2
Let x(a) be the third derivative of -a**8/20160 + a**7/10080 - a**5/15 - a**2. Let g(s) be the third derivative of x(s). Let g(o) = 0. Calculate o.
0, 1/2
Let z(x) be the second derivative of 1/35*x**7 + 2/15*x**6 + 0 + 4*x + 1/5*x**4 + 6/25*x**5 + 0*x**2 + 1/15*x**3. Factor z(p).
2*p*(p + 1)**3*(3*p + 1)/5
Let t = -21 - -32. Suppose -3*x + t = 2. Solve 2/3*o - 4/3*o**2 + 2/3*o**x + 0 = 0 for o.
0, 1
Let n(x) be the third derivative of x**8/84 + 8*x**7/105 + x**6/6 + 2*x**5/15 - 25*x**2. Solve n(z) = 0.
-2, -1, 0
Suppose -4 + 16 = 4*v. Suppose 4*z**4 - z**2 + v*z**2 - 2*z + 2*z**2 + 1 - 7*z**2 + 4*z**3 = 0. Calculate z.
-1, 1/2
Let l = 29 + -29. Let m(c) be the first derivative of 1/5*c**5 + 0*c**2 + 1/3*c**3 + 1 + l*c + 1/2*c**4. Factor m(u).
u**2*(u + 1)**2
Let j(x) be the third derivative of 0*x**4 - 6*x**2 + 0*x + 0*x**3 + 0 + 1/60*x**5. Factor j(a).
a**2
Let m(p) = -p**2 - 20*p - 100. Let y(z) = 8*z**2 + 160*z + 800. Let j(s) = 51*m(s) + 6*y(s). Find u such that j(u) = 0.
-10
Let m(u) be the first derivative of -u**6/2 + 9*u**5/5 + 3*u**4 - 16*u**3 + 48*u + 7. Factor m(v).
-3*(v - 2)**3*(v + 1)*(v + 2)
Let d(v) = -7*v**2 - 2*v + 5. Let u(q) = 3*q**2 + q - 2. Let p(w) = 4*d(w) + 9*u(w). Find f, given that p(f) = 0.
-1, 2
Let a(r) be the first derivative of -3*r**5/55 + r**4/44 + 3*r**3/11 + 3*r**2/22 - 2*r/11 - 2. What is d in a(d) = 0?
-1, 1/3, 2
Let s(x) be the first derivative of x**6/66 + 2*x**5/55 - x**4/22 - 4*x**3/33 + x**2/22 + 2*x/11 - 30. Suppose s(l) = 0. Calculate l.
-2, -1, 1
Let u = 263/120 + -17/8. Let y(j) be the second derivative of -4*j + 1/50*j**5 + 0 + 1/5*j**2 - u*j**3 - 1/30*j**4. Factor y(k).
2*(k - 1)**2*(k + 1)/5
Let j(m) be the first derivative of m**4/2 - 4*m**3 + 12*m**2 - 16*m + 4. Factor j(f).
2*(f - 2)**3
Factor -8/5*j**3 - 4/5 + 6/5*j + 4/5*j**2 + 2/5*j**5 + 0*j**4.
2*(j - 1)**3*(j + 1)*(j + 2)/5
Let r = -179 + 541/3. Determine u, given that -8/3*u**2 + 2/3 + 4/3*u**5 + 2*u**4 + 0*u - r*u**3 = 0.
-1, 1/2, 1
Let g = -46 - -50. Let a(d) be the first derivative of -1 + 0*d + 1/3*d**3 - 1/4*d**g + 0*d**2. Solve a(f) = 0 for f.
0, 1
Suppose -t - 28 = -30. Let z(r) be the third derivative of 1/48*r**4 - 1/240*r**6 - t*r**2 + 1/12*r**3 + 0 + 0*r - 1/120*r**5. Find b, given that z(b) = 0.
-1, 1
Let 5*c**2 + 17/3*c + 2/3 = 0. Calculate c.
-1, -2/15
Suppose 0 = 3*g + 6, 2*g + 21 = 5*o - g. Determine l so that -3*l**5 - 8*l**3 + 2*l**4 + 11*l**3 - o*l**2 + 2*l**4 - l**4 = 0.
-1, 0, 1
Factor 8/11 + 22*j**2 - 8*j.
2*(11*j - 2)**2/11
Factor -21/2*m**3 + 6 - 39/2*m + 45/2*m**2 + 3/2*m**4.
3*(m - 4)*(m - 1)**3/2
Let v = 49 - 44. Solve 1/2*t**2 + 1/2*t**v - 1/2*t**3 + 0 + 0*t - 1/2*t**4 = 0 for t.
-1, 0, 1
Let m(b) be the third derivative of b**6/80 + 3*b**5/40 + b**4/8 - 6*b**2. Factor m(w).
3*w*(w + 1)*(w + 2)/2
Let m = -620 - -1862/3. Factor 2/3*t**3 - 2/3*t - 2/3*t**4 + 0 + m*t**2.
-2*t*(t - 1)**2*(t + 1)/3
Find v, given that 2/3 - 2/3*v**2 + 0*v = 0.
-1, 1
Let 5 + 5*r - 11*r - 5 - 9 - r**2 = 0. Calculate r.
-3
Let g = -3 + 5. Find x such that -x**g + 4*x**2 + 2*x - 5*x**2 = 0.
0, 1
Let r(h) be the first derivative of -h**6/540 - h**5/90 - h**4/36 - h**3/3 + 3. Let w(f) be the third derivative of r(f). Factor w(v).
-2*(v + 1)**2/3
Let j be -1 - (-4 + 2 + 15/18). Let m(g) be the second derivative of 7/4*g**4 - 11/6*g**3 + j*g**6 + 0 - 17/20*g**5 + g**2 - g. Find r, given that m(r) = 0.
2/5, 1
Find k, given that -2/7*k**3 - 4/7 + 6/7*k**2 + 2/7*k - 2/7*k**4 = 0.
-2, -1, 1
Let b(w) be the third derivative of -w**8/168 - w**7/42 - w**6/30 - w**5/60 + 6*w**2. Factor b(z).
-z**2*(z + 1)**2*(2*z + 1)
Solve -10*b**2 + 42*b**2 - 14*b**4 - 55*b - 6*b**3 + 47*b - 4*b**3 = 0 for b.
-2, 0, 2/7, 1
Suppose 4*z = 2*l + 8, 3*l - 10 - 8 = -4*z. Factor -6 - 9*p**z - 24*p**2 - 2*p - 16*p - 3*p.
-3*(p + 1)**2*(3*p + 2)
Suppose -4*i - 3 = 1. Let y be 68/12 + (i - 0). Factor -4/3*c + y*c**3 + 10/3*c**2 + 0.
2*c*(c + 1)*(7*c - 2)/3
Solve -4*w**2 - 2/5 - 2*w - 2/5*w**5 - 2*w**4 - 4*w**3 = 0.
-1
Let u(z) = -z**2 - 7*z - 4. Let k be u(-6). Let -r - 2*r - r**2 - 2*r**2 + k*r = 0. What is r?
-1/3, 0
Let f(m) be the first derivative of 0*m**2 + 2/27*m**3 - 4 + 0*m. Find v, given that f(v) = 0.
0
Let x = 91/8460 + 4/235. Let t(a) be the third derivative of 0 + 0*a**6 - x*a**4 + 2/315*a**7 - 3*a**2 - 1/45*a**5 + 0*a + 1/504*a**8 + 0*a**3. Solve t(k) = 0.
-1, 0, 1
Let g(z) = -3*z**4 - 32*z**3 - 101*z**2 - 120*z - 48. Let o(u) = 6*u**4 + 65*u**3 + 203*u**2 + 240*u + 96. Let y(m) = 5*g(m) + 2*o(m). Factor y(s).
-3*(s + 1)**2*(s + 4)**2
Let o = 23/420 - -1/35. Let k(i) be the first derivative of 1/5*i**5 - 1/3*i**3 + 0*i**4 + 2 - o*i**6 + 0*i + 1/4*i**2. Factor k(a).
-a*(a - 1)**3*(a + 1)/2
Let m(v) = -4 - 3 + 2 - 4*v**2 + 6*v. Let w(i) be the first derivative of -i**3 + 5*i**2/2 - 4*i - 5. Let h(p) = 2*m(p) - 3*w(p). Factor h(l).
(l - 2)*(l - 1)
Let n = -6 - -8. Let o(s) be the first derivative of -2/5*s**5 - 1/3*s**6 - 3 + 0*s + 2*s**n + 10/3*s**3 + 3/2*s**4. What is w in o(w) = 0?
-1, 0, 2
Let p(x) be the second derivative of x**6/240 - x**4/96 + 28*x. Find a, given that p(a) = 0.
-1, 0, 1
Let h be 3 + (-3 - -1)/(-1). Find l such that -6*l**4 + 4*l**4 - 3*l**2 + l**5 + 5*l**2 - 2*l**h + l = 0.
-1, 0, 1
Let n = -197 - -4729/24. Let g(p) be the first derivative of -3 - 1/8*p**2 - 1/20*p**5 + 1/6*p**3 - 1/4*p + 1/8*p**4 - n*p**6. Solve g(v) = 0.
-1, 1
Suppose -4*r + 4*n = -16, -2*r + 7 = 2*n - 3*n. Suppose -c = -4*p - r*c, 14 = 5*p - c. Determine v so that 3/4*v**3 + 1/4*v**p - 3/4*v - 1/4 = 0.
-1, -1/3, 1
Factor 1/2*l**3 + 0 + 0*l + 1/2*l**2.
l**2*(l + 1)/2
Suppose 0 = -4*n + 8*n - 8. 