**6 + 1/10*y**2 - 2/25*y**5 + 1 + 2/15*y**3 + 0*y**4. Find s such that k(s) = 0.
-1, 0, 1
Let h = 27 + -21. Let d(w) be the second derivative of -1/135*w**h + 0*w**2 + 0 + 1/45*w**5 - 3*w - 1/54*w**4 + 0*w**3. Factor d(f).
-2*f**2*(f - 1)**2/9
Solve 2*h**3 + h**3 - 8*h**4 - 2*h**5 + 2*h**4 - 7*h**3 = 0 for h.
-2, -1, 0
Let x(t) be the third derivative of -t**5/135 - t**4/54 - 4*t**2. Determine b, given that x(b) = 0.
-1, 0
Factor -4/15 - 2/15*t - 2/3*t**3 + 16/15*t**2.
-2*(t - 1)**2*(5*t + 2)/15
Let m(w) = 24*w**2 - 11 + 43*w + 3*w**2 + 3*w**2 - 8. Let d(k) = -7 + 15*k**2 - 2 + 21*k + 0. Let n(s) = -5*d(s) + 3*m(s). Suppose n(z) = 0. What is z?
-2, 2/5
Factor -1/4*t**4 + 0 - 27/4*t**2 + 27/4*t + 9/4*t**3.
-t*(t - 3)**3/4
Factor -25/6*r**3 + 20/3 + 35/3*r - 85/6*r**2.
-5*(r - 1)*(r + 4)*(5*r + 2)/6
Let p(z) be the third derivative of -z**7/630 - z**6/45 - 2*z**5/15 + z**4/24 + 2*z**2. Let d(t) be the second derivative of p(t). Factor d(g).
-4*(g + 2)**2
Factor -5*o**3 - 5*o**4 + 41*o**2 - 57*o**2 + 4*o + 22*o**3.
-o*(o - 2)*(o - 1)*(5*o - 2)
Let t(r) = -r - 3. Let l be t(-7). Let w(k) be the third derivative of 0 - 1/300*k**6 - k**2 - 1/60*k**l + 0*k**3 + 1/75*k**5 + 0*k. Factor w(s).
-2*s*(s - 1)**2/5
Let b(o) be the third derivative of 2*o**7/15 + 2*o**6/5 + o**5/5 - o**4/3 + 9*o**2. Let b(s) = 0. What is s?
-1, 0, 2/7
Let f(n) be the first derivative of -n**4/8 + n**3/3 + 18. Factor f(z).
-z**2*(z - 2)/2
Let w(g) be the second derivative of -g**5/50 - 3*g**4/5 - 36*g**3/5 - 216*g**2/5 - 9*g. Factor w(z).
-2*(z + 6)**3/5
Let z be 6/15*(12 - 2). Let m be 1/(14/z + -3). What is s in -s**5 + 2*s**m + 1 + 4*s - 2*s**3 - s**4 + 0*s**4 - s - 2*s**4 = 0?
-1, 1
Let k(u) be the third derivative of -u**7/840 + u**6/160 - u**5/240 - u**4/32 + u**3/12 + 7*u**2. Determine z so that k(z) = 0.
-1, 1, 2
Suppose 6*p + p = 14. Let j(v) be the second derivative of 0*v**3 + 0*v**4 + 0*v**5 + 0*v**p + 1/45*v**6 - 1/63*v**7 - 3*v + 0. Let j(l) = 0. Calculate l.
0, 1
Let z(l) be the third derivative of 0*l - 5*l**2 + 0*l**3 + 0 - 1/168*l**4 - 1/420*l**5. Factor z(p).
-p*(p + 1)/7
Let o(u) be the second derivative of u**5/150 + u**4/15 + u**3/5 - u**2 - u. Let j(s) be the first derivative of o(s). Factor j(x).
2*(x + 1)*(x + 3)/5
Let w be (0 + -4)/(16/(-8)). Let y be (7 - 10) + (5 - w). Factor -2*o**2 + 1/2*o**3 + y + 2*o.
o*(o - 2)**2/2
Let q(p) be the third derivative of -p**6/75 - p**5/50 + p**4/60 - 24*p**2. Factor q(h).
-2*h*(h + 1)*(4*h - 1)/5
Let u(l) be the third derivative of -1/20*l**5 + 0*l - 9/2*l**3 + 0 + 5*l**2 + 3/4*l**4. Factor u(d).
-3*(d - 3)**2
Let k = -15 + 15. Let m be (20/3)/5 - k. Factor -m*g**3 - 8/9*g**2 - 2/9*g + 0 - 8/9*g**4 - 2/9*g**5.
-2*g*(g + 1)**4/9
Let w(l) be the first derivative of -2*l**3/3 + 2*l**2 - 2*l + 4. Factor w(u).
-2*(u - 1)**2
Factor -a**2 + 9671*a - 9669*a + 0*a**4 - 2*a**3 + a**4.
a*(a - 2)*(a - 1)*(a + 1)
Let k = -17 - -44. Let h(t) = 3*t**4 - 5*t**3 - 5*t**2 + t. Let q(w) = -39*w**4 + 66*w**3 + 66*w**2 - 12*w. Let v(o) = k*h(o) + 2*q(o). Factor v(c).
3*c*(c - 1)**2*(c + 1)
Let y = 8 - 12. Let c be (-40)/(-25) + y/(-10). Factor 0 + 10*r - 1 + 8*r**c + 5 + 2*r**3.
2*(r + 1)**2*(r + 2)
Let x be (-1)/((20/16)/(-5)). Let c be (6/x)/((-8)/(-16)). Factor 0 + 0*v + 2/7*v**2 + 2/7*v**c.
2*v**2*(v + 1)/7
Let q = 2/55 - -104/165. Let g be 0/(1 + (-2 - -3)). Factor 2/3 - q*m**2 + g*m.
-2*(m - 1)*(m + 1)/3
Let x(j) = j**3 - 3*j**2 + 4*j - 2. Let b be 4/(-18) + 184/18. Let v be 2/3 + b/(-6). Let n(p) = -p + 1. Let o(m) = v*n(m) - x(m). Solve o(d) = 0.
1
Let g(i) = -2*i**5 - i**4 + 15*i**3 - 3*i**2 + 3*i - 3. Let d(j) = -6*j**5 - 4*j**4 + 46*j**3 - 10*j**2 + 10*j - 10. Let o(r) = 3*d(r) - 10*g(r). Factor o(h).
2*h**3*(h - 3)*(h + 2)
Suppose 3*c - 4 = -4*y - 12, -3 = -2*c - y. Suppose -c*t = 4 - 12. Find b such that 0 + 4*b + 3*b**2 + t - b**2 = 0.
-1
Let a(n) be the second derivative of 5*n**8/4032 + n**7/1512 - n**6/135 + n**5/90 - n**4/3 - 4*n. Let b(s) be the third derivative of a(s). Factor b(y).
(y + 1)*(5*y - 2)**2/3
Let j = 50 + -46. Factor -d + 1/4 + 1/4*d**j + 3/2*d**2 - d**3.
(d - 1)**4/4
Suppose -6*d - 30 = -8*d. Suppose 5*b = 5*l - d, 4*b - l - 3 = -0. Factor 3 - 3*p**b + 4*p - 4*p.
-3*(p - 1)*(p + 1)
Suppose -3*z - 25 = -2*z + 5*n, -5*z = 4*n + 20. Solve -2/5*y**2 + 4/5*y + z = 0.
0, 2
Suppose 3*q - 24 + 11 = f, 4*q - 39 = -3*f. Suppose -4*h - 2*a = -2*h - 8, 2*a - q = -h. Suppose 7*r**2 - 3*r**3 + r**2 - 5*r**h = 0. Calculate r.
0, 1
Let l(f) be the second derivative of -5*f**4/54 - 2*f**3/27 + f - 34. Find o such that l(o) = 0.
-2/5, 0
Let v = 20636/10695 + 208/465. Let m = v - 24/23. Determine t, given that m*t + 1/3 + t**2 = 0.
-1, -1/3
Let w be (-1)/(-2)*0/(-4). Let j(s) be the first derivative of 1/5*s**2 + 2/25*s**5 + 2 - 2/15*s**3 + w*s - 1/10*s**4. Factor j(h).
2*h*(h - 1)**2*(h + 1)/5
Let w(s) be the third derivative of s**5/30 - s**4/12 + 6*s**2. Let w(x) = 0. Calculate x.
0, 1
Let j(c) be the second derivative of 2/15*c**4 + 3/25*c**5 + 0*c**2 + 1/15*c**3 + 0 + 1/105*c**7 + 4/75*c**6 + c. Solve j(i) = 0.
-1, 0
Let c(z) be the third derivative of z**7/70 - z**6/40 - z**5/20 + z**4/8 - 5*z**2. What is g in c(g) = 0?
-1, 0, 1
Let g(a) be the third derivative of a**2 - 1/8*a**4 + 0*a + 0 + 1/40*a**5 + 1/4*a**3. Determine s so that g(s) = 0.
1
Let a(w) be the third derivative of w**5/120 - w**4/24 + 5*w**2. Let a(h) = 0. What is h?
0, 2
Suppose -c = 2*s - 2*c - 10, 4*c + 12 = s. Suppose -o = -s*o + 6. Factor -2/3*q + 4/3 - 2/3*q**o.
-2*(q - 1)*(q + 2)/3
Let p(l) be the first derivative of -8*l**5/5 + 3*l**4 + 4*l**3 - 4*l**2 + 10. Factor p(u).
-4*u*(u - 2)*(u + 1)*(2*u - 1)
Let y(q) be the second derivative of -q**7/42 + 2*q**6/15 - q**5/5 - q**4/6 + 5*q**3/6 - q**2 - 18*q. Determine s so that y(s) = 0.
-1, 1, 2
Suppose -1 + 14*s - 3 - 3*s**2 + 1 - 8*s = 0. What is s?
1
Let f be ((-976)/(-168))/(2/3) + -7. Factor -24/7*c**2 + 0 - f*c - 9/7*c**3.
-3*c*(c + 2)*(3*c + 2)/7
Suppose -214 = -6*v - 70. Let w = 26 - v. Factor -u**4 + 3/2*u**3 + 1/4*u**5 + 0 - u**w + 1/4*u.
u*(u - 1)**4/4
Let h(i) = 2*i**2 + 1. Let u be h(1). Suppose -12 = -u*n - n. Factor 4/3*t + 0 - 2*t**n + 2/3*t**2.
-2*t*(t - 1)*(3*t + 2)/3
Suppose -18/7*p**4 - 8/7*p - 32/7*p**2 - 6*p**3 + 0 = 0. What is p?
-1, -2/3, 0
Let c(y) = 5*y**4 + 15*y**3 - 25*y**2 - 15*y + 26. Let b(t) = -30*t**4 - 90*t**3 + 150*t**2 + 90*t - 155. Let l(g) = -6*b(g) - 35*c(g). Factor l(h).
5*(h - 1)**2*(h + 1)*(h + 4)
Factor 2*s**2 - 4*s**2 + 5*s**2 + 4*s**5 + 15*s**3 + 15*s**4 - 2*s + s**3.
s*(s + 1)**2*(s + 2)*(4*s - 1)
Suppose -j + 3 = -t + 3*j, -5*j = 3*t - 8. Let i(z) be the first derivative of -1/4*z - t - 1/4*z**2 - 1/12*z**3. Suppose i(v) = 0. What is v?
-1
Let q be 1 + 1*(5 - 4). Find v such that 1/4*v**q + 1/2*v + 1/4 = 0.
-1
Let s be (0 + -6 + 7)*(-1)/(-24). Let h(x) be the third derivative of 1/60*x**5 + 1/24*x**4 + 0*x + s*x**3 + 0 - 2*x**2. Factor h(k).
(2*k + 1)**2/4
Let w(y) = -y + 4*y + 9 + 3. Let m be w(-4). Factor 0*z**2 + 0*z + m + 1/2*z**3.
z**3/2
Suppose -q = -2 - 1. Determine o, given that -o**4 + o**2 + o**q - o**3 = 0.
-1, 0, 1
Let u(h) be the third derivative of 3/8*h**4 + 0 + 0*h - 1/20*h**6 - 4*h**2 - 1/10*h**5 - 1/2*h**3 - 1/112*h**8 + 3/70*h**7. Factor u(g).
-3*(g - 1)**4*(g + 1)
Let p(j) = 9*j**2 + 3*j + 11. Let k(v) = 5*v**2 + 2*v + 6. Let s(x) = -11*k(x) + 6*p(x). Suppose s(c) = 0. Calculate c.
-4, 0
Determine y so that y**2 - 2*y + y - 2 + 2 = 0.
0, 1
Let y(p) be the first derivative of -25*p**7/42 + 7*p**6/3 - 69*p**5/20 + 7*p**4/3 - 2*p**3/3 - p + 2. Let f(a) be the first derivative of y(a). Factor f(c).
-c*(c - 1)**2*(5*c - 2)**2
Let i be ((-24)/10)/((-1)/5). Factor -i - 9*r**2 - 11*r**2 + 5*r**2 - 36*r.
-3*(r + 2)*(5*r + 2)
Let b(n) be the third derivative of 0*n**4 - 7/120*n**5 + 0 + 0*n + 1/3*n**3 + 1/80*n**6 - 4*n**2. Factor b(c).
(c - 2)*(c - 1)*(3*c + 2)/2
Solve a**5 - 8*a**2 - 95*a**4 - 3*a**5 - 31*a**4 - 60*a**3 - 47*a**5 = 0 for a.
-2, -2/7, 0
Find k, given that 3/4*k + 0 + 1/4*k**3 - k**2 = 0.
0, 1, 3
Let p = 8 + 11. Suppose 25 = 5*n, -r = 2*r - 5*n + p. What is l in -2/7*l**r + 6/7*l - 4/7 = 0?
1, 2
Let o(m) = -4*m**5 + 3*m**4 + 4*m**3 - 2*m**2 + 1. Let p(y) = -5*y**5 + 3*y**4 + 5*y**3 - y**2 + 1. Let c(z) = -6*o(z) + 4*p(