*i**4 - 3*i**3 + 3*i**2 - 2*i + 2. Let y(o) = 2*h(o) - s(o). Factor y(b).
-b**2*(b - 3)*(b - 1)*(b + 1)
Let f(g) be the second derivative of -2*g + 3/4*g**2 + 3/80*g**5 - 1/8*g**4 - 1/8*g**3 + 0. Factor f(u).
3*(u - 2)*(u - 1)*(u + 1)/4
Let s(x) be the second derivative of -x**5/90 - x**4/54 + 2*x**3/9 - 4*x. Factor s(v).
-2*v*(v - 2)*(v + 3)/9
Suppose 8*q = 3*q. Let u(d) be the second derivative of 2*d + 1/63*d**7 + q*d**4 + 0*d**6 + 0*d**2 + 0 + 1/9*d**3 - 1/15*d**5. Let u(h) = 0. What is h?
-1, 0, 1
Let y(o) = 6*o**2 + o. Let p be y(-1). Suppose -m - 3 = -p. Factor -l**2 + 0*l**2 - 3*l + 2*l**2 + m.
(l - 2)*(l - 1)
Let w(f) = f - 1. Let c(q) = q + 11. Let y be c(-13). Let a(z) = -2*z**2 + 2*z - 2. Let h(o) = y*w(o) + a(o). Factor h(j).
-2*j**2
Let c(j) = -2*j**5 - 2*j**2 + 2. Let m(x) = 2*x**5 + x**4 + x**3 + 2*x**2 - 3. Let p(r) = 3*c(r) + 2*m(r). Find s, given that p(s) = 0.
-1, 0, 1
Suppose 0*c - 6*c + 3*c**2 + 3*c = 0. Calculate c.
0, 1
Let q(x) be the second derivative of -x**9/15120 + x**8/3360 - x**7/2520 - x**4/6 - 3*x. Let g(p) be the third derivative of q(p). Factor g(f).
-f**2*(f - 1)**2
Let i(u) = -95*u**3 + 35*u**2 + 240*u. Let m(h) = -8*h**3 + 3*h**2 + 20*h. Let c(x) = 3*i(x) - 35*m(x). Solve c(r) = 0.
-2, 0, 2
Let a(m) be the third derivative of 0 + 2/27*m**3 + 1/540*m**6 - 1/945*m**7 - 5/108*m**4 - 4*m**2 + 0*m + 1/90*m**5. Solve a(k) = 0 for k.
-2, 1
Factor -3 - 85*k**2 + 13 + 90*k**2 - 15*k.
5*(k - 2)*(k - 1)
Suppose 3*j + 3/4*j**5 + 0 + 45/4*j**3 + 39/4*j**2 + 21/4*j**4 = 0. Calculate j.
-4, -1, 0
Suppose 4*x + 1 = -2*c + 5*x, -4*c + 3*x = 1. Let j be 0*(6/4 + c). Suppose 3*y + 2*y**2 + j*y**2 - y = 0. What is y?
-1, 0
Let f(z) = -z**2 + 15*z - 53. Let k be f(8). Factor -2/11 - 2/11*h + 2/11*h**k + 2/11*h**2.
2*(h - 1)*(h + 1)**2/11
Suppose 1/10*h**2 - 1/2 + 2/5*h = 0. What is h?
-5, 1
Let a(n) be the second derivative of -13/6*n**3 - 3*n + 1/3*n**6 + 5/2*n**4 - 29/20*n**5 + 0 + n**2. Solve a(z) = 0.
2/5, 1/2, 1
Let r(y) be the first derivative of -3*y**5 - 21*y**4 - 48*y**3 - 24*y**2 + 48*y - 30. Solve r(c) = 0 for c.
-2, 2/5
Let o be ((-4)/(-9))/(46/207). Solve 1/2*r - 1/6*r**3 - 1/3 + 0*r**o = 0.
-2, 1
Let q(o) be the third derivative of o**8/336 - o**7/42 - o**6/20 - 11*o**2. Solve q(l) = 0.
-1, 0, 6
Suppose -3*m + 35 = -5*i, 5*i - 4*i + 3*m - 11 = 0. Let k = -1 - i. Let -1/2 - 1/2*a**k - 3/2*a**2 - 3/2*a = 0. What is a?
-1
Let d(h) be the third derivative of -h**8/168 - 2*h**7/105 - h**6/60 - 8*h**2. Factor d(v).
-2*v**3*(v + 1)**2
Let q(k) be the second derivative of 0*k**3 + 0 + 1/15*k**6 - 1/10*k**5 + 2*k + 0*k**4 + 0*k**2. Suppose q(u) = 0. What is u?
0, 1
Suppose 0 = -19*m + 20*m - 4. Let d(k) be the first derivative of 1/2*k**2 - 1/4*k**m + 3 + 0*k + 0*k**3. Determine s so that d(s) = 0.
-1, 0, 1
Determine p, given that -14*p + 32*p**4 - 64 - 94*p**3 + 29*p + 65*p - 4*p**5 + 18*p**3 + 32*p**2 = 0.
-1, 1, 2, 4
Let a(v) = -4 + 2*v + 5 - 4*v**2 + 2*v**4 - 1. Let y(n) = -n**3 + n**2. Let z(j) = -a(j) - 2*y(j). Factor z(f).
-2*f*(f - 1)**2*(f + 1)
Let r(w) be the second derivative of -w**4/12 + w**2/2 + 7*w. Suppose r(o) = 0. What is o?
-1, 1
Let u(f) be the first derivative of -f**3/3 - 4*f**2 - 16*f + 9. Factor u(c).
-(c + 4)**2
Let f(q) = 10*q**4 - 8*q**3 - 14*q**2 + 6*q + 2. Let m(j) = -19*j**4 + 16*j**3 + 29*j**2 - 11*j - 5. Let u(c) = 5*f(c) + 2*m(c). What is a in u(a) = 0?
-1, 0, 2/3, 1
Factor -1/3*l**3 - 8/3*l**2 + 0 - 16/3*l.
-l*(l + 4)**2/3
Let c(k) = k**2 - 1. Let y(h) = h. Let w be y(1). Let g(q) = 6*q + 10. Let p(o) = w*g(o) + c(o). Factor p(i).
(i + 3)**2
Suppose 1 + 4 = 5*q + 5*r, -q - 1 = 3*r. Solve q + 4*x + 0 - x**2 - x**2 + 4*x**2 = 0.
-1
Factor -3/8 - 1/4*r**2 + 1/8*r**5 + 3/4*r**3 + 5/8*r**4 - 7/8*r.
(r - 1)*(r + 1)**3*(r + 3)/8
Suppose 15 = 2*t + 15. Solve 0*l**3 + 1/4*l**4 + 0 - 1/4*l**2 + t*l = 0.
-1, 0, 1
Let t(m) be the first derivative of 27/25*m**5 + 6/5*m**2 + 3 - 9/20*m**4 - 8/5*m**3 + 0*m. Determine n, given that t(n) = 0.
-1, 0, 2/3
Let u(o) be the first derivative of 1/5*o**4 - 4/15*o**3 + 6/25*o**5 + 4 - 3/5*o**2 - 2/5*o + 1/15*o**6. Factor u(k).
2*(k - 1)*(k + 1)**4/5
Let s(a) be the second derivative of 0 - 6*a + 1/9*a**4 - 1/3*a**2 - 1/45*a**6 + 0*a**5 + 0*a**3. Factor s(o).
-2*(o - 1)**2*(o + 1)**2/3
Suppose -5*r + 4*p + 24 + 2 = 0, 0 = -5*r + 2*p + 18. Factor 3*s**r + 9/2*s + 0.
3*s*(2*s + 3)/2
Let d(g) be the second derivative of 2/15*g**4 - 3/50*g**5 + 0*g**2 + 4/15*g**3 - 3*g + 0. Suppose d(j) = 0. What is j?
-2/3, 0, 2
Let w(i) = 3*i**2 - 6*i + 11. Let b(g) be the third derivative of -g**5/15 + g**4/4 - 2*g**3 - 5*g**2. Let u(j) = -2*b(j) - 3*w(j). Solve u(x) = 0.
3
Let x(c) be the second derivative of c**7/210 + 2*c**6/75 - c**5/100 - c**4/15 - 5*c. Solve x(z) = 0.
-4, -1, 0, 1
Let n(b) = 4*b**3 - 6*b**2 + 2*b. Let p(m) = 7*m**3 - 11*m**2 + 4*m. Let j(v) = 5*n(v) - 3*p(v). Factor j(f).
-f*(f - 2)*(f - 1)
Let h be 2 - (-3 + 6/2). Suppose 0 = -h*u + u + 4. Find f, given that -3/4*f**3 + f**u - 1/4*f**5 - f**2 + 0 + f = 0.
-1, 0, 1, 2
Let z(q) be the first derivative of -q**6/18 - q**5/5 - q**4/4 - q**3/9 - 16. Determine l, given that z(l) = 0.
-1, 0
Let m(g) be the first derivative of g**4/18 - g**2/3 - 4*g/9 - 8. Factor m(a).
2*(a - 2)*(a + 1)**2/9
Let k(q) = 9*q**5 + 5*q**4 - 5*q**3 - 5*q**2 + 4*q. Let g(z) = 35*z**5 + 20*z**4 - 20*z**3 - 20*z**2 + 15*z. Let a(w) = 4*g(w) - 15*k(w). Solve a(s) = 0.
-1, 0, 1
Suppose -2*p = -3 - 1. Factor 2*h**2 - 4*h**p + 5*h**3 - 2*h**3 + 2 - h**3 - 2*h.
2*(h - 1)**2*(h + 1)
Suppose -6*w = 8*w. Factor -4/3*u**2 + 2/3 + 2/3*u**4 + w*u**3 + 0*u.
2*(u - 1)**2*(u + 1)**2/3
Suppose -r = -2*s + 1, -3*s - 2*r + 19 = -0*r. Factor -2/3 + 0*o + 4/3*o**2 + 0*o**s - 2/3*o**4.
-2*(o - 1)**2*(o + 1)**2/3
Suppose -4*r + 0*r = -16. Let u(m) be the third derivative of 1/165*m**5 + 1/660*m**6 + 0*m**3 + 0*m + 1/132*m**r + 0 - m**2. Factor u(o).
2*o*(o + 1)**2/11
Let f(g) = -6*g**2 - 4*g**3 - 5*g - 3*g + 3*g**3 - 3*g**2 + 3. Let x be f(-8). Find y such that -y - 6*y**2 - x*y**3 + y = 0.
-2, 0
Let r = -15 - -21. Let w = r - 6. Factor 0*s**4 - 1/3*s**3 + 1/3*s**5 + w*s + 0*s**2 + 0.
s**3*(s - 1)*(s + 1)/3
Let n(u) = -u**3 + 2*u**2 + 5*u - 4. Let a be n(3). Factor -5*p + 2*p - a*p - 2*p**2 + 7*p.
-2*p*(p - 1)
Let g be ((-1)/(-3))/(8/72). Let w(z) be the second derivative of 1/30*z**4 - 4/15*z**g - 2*z + 4/5*z**2 + 0. Suppose w(n) = 0. What is n?
2
Let u = -31 + 34. Let p(o) be the first derivative of -3*o**2 + 3/2*o**4 + 2/3*o**u + 1 - 4*o + 2/5*o**5. Determine t, given that p(t) = 0.
-2, -1, 1
Let r(b) = -10*b + 5. Let n be r(-4). Let o be (-6)/(0 + n/(-6)). Factor 2/5*t**2 - o*t + 2/5.
2*(t - 1)**2/5
Let s = 301 - 1811/6. Let u = -1/3 - s. Solve -u*l - 1/4 + 2*l**2 = 0 for l.
-1/4, 1/2
Let o(c) = c**2 - 8*c - 6. Let g be o(9). Factor g*l**2 - 7*l**2 - 2*l - 5*l + 3*l.
-4*l*(l + 1)
Let v be (1 - 3) + 0 + 5. Let h(x) be the first derivative of -4/15*x**v + 2/25*x**5 + 2 + 2/5*x + 0*x**4 + 0*x**2. Factor h(o).
2*(o - 1)**2*(o + 1)**2/5
Let u(r) be the second derivative of r**5/5 - r**4 - 2*r**3/3 + 6*r**2 - 2*r + 14. What is f in u(f) = 0?
-1, 1, 3
Suppose 4*k - 30 - 6 = 0. Let 16*s**2 + 2*s**3 + 2 - s**3 - 10*s - k*s**3 = 0. What is s?
1/2, 1
Factor -1 - 8 + 2*o**2 + 1.
2*(o - 2)*(o + 2)
Factor 1/3 + 2/3*l + 1/3*l**2.
(l + 1)**2/3
Suppose 0 = -w - 0 - 4. Let y = -1 - w. Solve r**4 + 5*r**y + 0*r**4 - 6*r**5 + 0*r**2 - 2*r**2 + 0*r**4 = 0 for r.
-1, 0, 1/2, 2/3
Let g(r) = r**3 + 2*r**2 - 5*r - 4. Let u be g(-3). Factor -2/9*c**5 + 4/9*c**3 - 2/9*c**4 + 4/9*c**u - 2/9*c - 2/9.
-2*(c - 1)**2*(c + 1)**3/9
Let k(g) be the second derivative of 1/3*g**3 + 1/1800*g**6 + 0 + 2*g + 0*g**2 - 1/600*g**5 + 0*g**4. Let l(u) be the second derivative of k(u). Factor l(n).
n*(n - 1)/5
Let k(j) = j**4 + j**3 - j**2 + j - 1. Let o(b) = -4*b**4 - 4*b**3 + 4*b**2 - 6*b + 5. Let n(y) = -5*k(y) - o(y). Let n(z) = 0. What is z?
-1, 0, 1
Let y(f) = -336*f**4 - 543*f**3 - 177*f**2 + 129*f - 33. Let x(z) = 21*z**4 + 34*z**3 + 11*z**2 - 8*z + 2. Let u(b) = -33*x(b) - 2*y(b). Factor u(s).
-3*s*(s + 1)**2*(7*s - 2)
Suppose -2*h - 2 + 3 = -c, 0 = 2*c + 4*h - 14. Let q be 5 - -1 - (-16)/(-14). Let -8/7*p - q*p**2 + 2/7 - 128/7*p**5 + 136/7*p**c + 32/7*p**4 = 0. Calculate p.
-1, -1/4, 1/4