). Factor w(i).
-(i - 1)*(i + 1)
Suppose -7 = 11*j - 29. Let 0 + 0*z**j + 1/3*z**3 - 2/3*z**4 + 1/3*z**5 + 0*z = 0. What is z?
0, 1
Factor -6*v**4 - 8*v + 6*v**4 - 4*v**2 + 16*v**3 + 12*v**4.
4*v*(v + 1)**2*(3*v - 2)
Suppose -5*l - 36 = -11. Let x(z) = -z**3 - 5*z**2 + z + 7. Let k be x(l). Factor 4/7*m - 2/7 - 2/7*m**k.
-2*(m - 1)**2/7
Let x be (-7)/(-15) - (253/33 + -8). Factor x*o**4 + 0 - 4/5*o**2 + 0*o**3 + 0*o.
4*o**2*(o - 1)*(o + 1)/5
Let f(o) be the second derivative of o**7/504 + 17*o**6/720 + o**5/20 + 7*o**4/12 + o. Let q(g) be the third derivative of f(g). Factor q(c).
(c + 3)*(5*c + 2)
Let b(q) be the second derivative of -1/2*q**3 + 1/42*q**7 + 1/6*q**4 - 1/10*q**6 + 1/10*q**5 - q + 1/2*q**2 + 0. Let b(c) = 0. Calculate c.
-1, 1
Let v = 131/145 - 3/29. Factor 0*b**3 + 2/5*b**5 + v*b**2 - 2/5*b + 0 - 4/5*b**4.
2*b*(b - 1)**3*(b + 1)/5
Let b(c) be the first derivative of 3*c**3/2 + 4*c**2 - 2*c + 5. Factor b(z).
(z + 2)*(9*z - 2)/2
Let t(n) = n**2 + 1. Let v(i) = 4*i**2 + 8*i - 2. Suppose 17 = -3*p - 1. Let j(a) = p*t(a) + v(a). Factor j(r).
-2*(r - 2)**2
Let d(t) be the first derivative of t**8/6720 - t**3/3 - 2. Let g(a) be the third derivative of d(a). Factor g(u).
u**4/4
Let c(g) = -5*g + 7. Let q(u) = -u**2 - 9*u + 15. Let i(o) = -5*c(o) + 2*q(o). Let t(z) = z**2 - 3*z + 2. Let s(v) = 2*i(v) + 5*t(v). Let s(p) = 0. What is p?
0, 1
Suppose 0*b**3 + 0 + 3/5*b**4 - 9/5*b**2 + 6/5*b = 0. Calculate b.
-2, 0, 1
Let y(m) be the second derivative of m - 1/54*m**4 - 1/9*m**3 - 2/9*m**2 + 0. Factor y(d).
-2*(d + 1)*(d + 2)/9
Let a = -22 - -26. Let c(f) be the second derivative of 0 + 1/24*f**4 - 1/12*f**3 + 0*f**2 - a*f. Suppose c(h) = 0. What is h?
0, 1
Factor 89*z**2 + 264*z + 31 - 88*z**3 + 41 + 105*z**2 + 8*z**4.
2*(z - 6)**2*(2*z + 1)**2
Let z = 16/393 + 9601/5502. Let q = z - 2/7. Let -9/2*u**3 + 4*u - 2 + q*u**2 = 0. Calculate u.
-1, 2/3
Let y be -1 + 28/42*(-3)/(-2). Let r(j) be the third derivative of 3*j**2 - 1/60*j**5 + 1/360*j**6 + 0*j + 1/36*j**4 + 0 + y*j**3. Factor r(w).
w*(w - 2)*(w - 1)/3
What is l in -7*l**2 - 15*l**3 + 17*l**3 + 3*l**2 = 0?
0, 2
Suppose 5*v = -25, -3*w - 52 = 2*v - 0*v. Let s be 8/w*(-14)/6. Let -1/3 - s*f**2 + 4/3*f = 0. Calculate f.
1/2
Let r = 1064 - 1062. Solve -9/7*c + 0 - 3/7*c**r = 0 for c.
-3, 0
Let l + 1/4*l**3 + 0 - l**2 = 0. Calculate l.
0, 2
Let h(r) be the third derivative of -r**8/1344 + r**7/280 - r**6/480 - r**5/80 + r**4/48 - 16*r**2. Determine d so that h(d) = 0.
-1, 0, 1, 2
Let b(u) = -2*u**5 + 2*u**4 + 5*u**3 - 2*u**2 - 3. Let c(w) = w**5 - 1. Let p(k) = 5*b(k) - 15*c(k). Find a such that p(a) = 0.
-1, 0, 2/5, 1
What is j in 32*j**2 + 9*j**3 - 7*j**3 + 10*j**3 - 28*j + 8*j - 24 = 0?
-3, -2/3, 1
Let n(j) be the first derivative of -j**5/120 + j**4/48 - 4*j**2 - 2. Let u(q) be the second derivative of n(q). Factor u(x).
-x*(x - 1)/2
Let j(i) = -249*i**4 + 455*i**3 - 132*i**2 - 49*i + 3. Let f(k) = -125*k**4 + 227*k**3 - 66*k**2 - 25*k + 1. Let w(z) = 14*f(z) - 6*j(z). Factor w(c).
-4*(c - 1)**2*(8*c + 1)**2
Let r(c) be the first derivative of c**6/35 - c**5/70 + 6*c - 4. Let m(y) be the first derivative of r(y). Factor m(f).
2*f**3*(3*f - 1)/7
Let j(o) be the second derivative of o**6/165 + o**5/55 - 2*o**3/33 - o**2/11 + 29*o. Let j(s) = 0. What is s?
-1, 1
Let j be 9/6*(0 + -2). Let n be 6/(-10)*(j - 2). Solve g**n + 2*g - 1 + g**2 - 3*g + 0*g**3 = 0.
-1, 1
Let b(h) = h**2 - h. Let r = 2 + 2. Let c(u) = 2*u**2 - 2*u. Let q(s) = r*c(s) - 7*b(s). Find f such that q(f) = 0.
0, 1
Let j(x) = 2*x**2 - 3*x - 4. Let n(q) = q. Let v(p) = 2*j(p) + 2*n(p). Find y such that v(y) = 0.
-1, 2
Let u(c) be the second derivative of 2/9*c**4 + 2/3*c**2 + 1/30*c**5 + 0 - c + 5/9*c**3. Factor u(x).
2*(x + 1)**2*(x + 2)/3
Let q be ((-19)/3)/(6/18). Let r = -35/2 - q. Suppose 9/2*i**3 - 21/2*i**2 - r + 15/2*i = 0. Calculate i.
1/3, 1
Factor 0*y**3 + 1/11*y + 0 - 1/11*y**5 - 2/11*y**2 + 2/11*y**4.
-y*(y - 1)**3*(y + 1)/11
Let n be (21/6 - 3)/((-4)/(-2)). Factor 1/4*w**2 + 0 - n*w.
w*(w - 1)/4
Factor 4/13*j + 2/13*j**2 + 2/13.
2*(j + 1)**2/13
Let x(h) = -4*h**5 - 12*h**4 + 14*h**3 + 50*h**2 - 84*h + 46. Let z(b) = b**3 - b**2 - 1. Let i(t) = -x(t) - 10*z(t). Factor i(r).
4*(r - 1)**3*(r + 3)**2
Let v be 9/(-21) - 18/(-42). Let 0 - 2/9*y**3 + v*y - 2/9*y**2 = 0. Calculate y.
-1, 0
Let f(p) = -65*p**4 - 89*p**3 - 16*p**2 - 3*p + 11. Let h = -4 + -7. Let v(a) = 33*a**4 + 45*a**3 + 8*a**2 + 2*a - 6. Let z(w) = h*v(w) - 6*f(w). Factor z(k).
k*(k + 1)*(3*k + 2)*(9*k - 2)
Let a be 1*(2 + -1) - -2. Let s be 3 + -2 + 0 + -1. Suppose 2*i**2 + s*i**2 - a*i**3 + i**3 = 0. What is i?
0, 1
Let i(x) = -6*x**4 - 14*x**2 + x - 4*x - 7 - 5*x**3 + 21*x**3. Let u(p) = 6*p**4 - 16*p**3 + 14*p**2 + 2*p + 6. Let q(h) = -6*i(h) - 7*u(h). Factor q(n).
-2*n*(n - 1)**2*(3*n - 2)
Let l(s) be the first derivative of 5*s**3/6 + 25*s**2/4 - 15*s - 24. Suppose l(n) = 0. Calculate n.
-6, 1
Let c be 4/(-3)*2/(-3 + -1). Determine a so that c*a - 2*a**2 + 0 = 0.
0, 1/3
Let h(o) be the first derivative of 5*o**3/3 - 5*o**2/2 + 36. Factor h(z).
5*z*(z - 1)
Let d(f) be the third derivative of f**8/1344 - f**7/168 + 7*f**6/480 + f**5/240 - f**4/12 + f**3/6 - 15*f**2. Determine c so that d(c) = 0.
-1, 1, 2
Let d = -3265/27 + 121. Let z(i) be the second derivative of 0 - d*i**3 + 0*i**4 + 1/45*i**5 - 1/9*i**2 - 2*i + 1/135*i**6. Factor z(u).
2*(u - 1)*(u + 1)**3/9
Let o(x) be the second derivative of x**4/3 - 2*x**3 - 8*x**2 + 30*x. Factor o(y).
4*(y - 4)*(y + 1)
Determine b so that 9/4*b**4 - 3/4*b**5 - 3/2*b**2 + 9/4*b - 3/2*b**3 - 3/4 = 0.
-1, 1
Let g be ((-8)/7)/(14/(-49)). Let j(v) be the first derivative of 3*v**2 + 13/6*v**3 - 1 + 2*v + 1/10*v**5 + 3/4*v**g. Let j(x) = 0. Calculate x.
-2, -1
Suppose 5*w - 91 = -31. Suppose -w = -4*p - 0*p. Factor -7*n**2 + p*n**4 + 0*n**2 + 0 + 3 + n**2.
3*(n - 1)**2*(n + 1)**2
Let k(q) be the second derivative of -q**4/36 - q**3/9 - q**2/6 + 2*q. Suppose k(t) = 0. Calculate t.
-1
Determine u, given that 5/4*u**2 - 9/4 + 3/4*u + 1/4*u**3 = 0.
-3, 1
Let o = -61 + 151. Let i = -355/4 + o. Solve 0 - 1/4*x + i*x**2 = 0.
0, 1/5
Let a = -21/34 + 257/306. Factor 2/9*g**2 + a*g + 0.
2*g*(g + 1)/9
Suppose -4/5*d**3 + 0 + 0*d + 4/5*d**2 = 0. What is d?
0, 1
Factor -12*y**2 + 14 - 3*y**3 - y**3 + 2.
-4*(y - 1)*(y + 2)**2
Let w(a) = -a**4 + 3*a**2 + a - 1. Let q(v) = v**2 + v. Let f(y) = -4*q(y) + 4*w(y). Find b such that f(b) = 0.
-1, 1
Let l(s) = -2*s. Let b be l(-2). Factor -3*w**4 - 4*w + w**b + 4*w.
-2*w**4
Let w(p) = 7*p**4 + 6*p**3 - p**2 - 4*p - 4. Let u = 6 + -10. Let l(q) = -q**4 + q**2 + q + 1. Let a(z) = u*l(z) - w(z). Solve a(n) = 0 for n.
-1, 0
Solve 4*r**4 + 0 + 16/7*r + 20/7*r**3 - 64/7*r**2 = 0 for r.
-2, 0, 2/7, 1
Let d(r) be the first derivative of -r**5/70 - r**4/42 + 5*r + 7. Let h(o) be the first derivative of d(o). Factor h(i).
-2*i**2*(i + 1)/7
Let a(y) be the first derivative of -3*y**4/20 + 2*y**3/5 - 3*y**2/10 - 7. Determine h so that a(h) = 0.
0, 1
Suppose 6*g = 5*g - 6. Let v(d) = -d - 4. Let w be v(g). Factor -2/7*s**w - 8/7*s - 8/7.
-2*(s + 2)**2/7
Let o(r) = r**2 - r + 1. Let c(t) = t**3 + 7*t**2 - 9*t - 3. Let z(s) = -c(s) + 5*o(s). Let z(v) = 0. Calculate v.
-2, 2
Suppose -5*n = -5*y, -3 = -4*n + y + 3. Determine w, given that 0 + 1/5*w**3 + 0*w + 0*w**n + 16/5*w**5 - 8/5*w**4 = 0.
0, 1/4
Solve 6/5*p**3 + 0*p**2 + 0 - 2/5*p**4 + 0*p = 0 for p.
0, 3
Determine i, given that -2*i**3 - 2*i**4 + 3*i**4 - 3*i**4 = 0.
-1, 0
Let s = 16/57 + 2/399. Factor -s*y**2 - 2/7*y + 4/7.
-2*(y - 1)*(y + 2)/7
Let u(l) = -6*l**3 - 4*l**2 + 5*l + 3. Let z(t) = 5*t**3 + 3*t**2 - 5*t - 3. Let q(h) = 4*u(h) + 5*z(h). Determine b, given that q(b) = 0.
-1, 3
Let d(z) be the second derivative of 9*z**5/160 + z**4/8 + z**3/12 + 9*z. Factor d(i).
i*(3*i + 2)**2/8
Let p = 11 - 8. Let o(y) be the third derivative of -1/840*y**7 + 1/48*y**4 - 1/240*y**6 + 0*y**5 - 2*y**2 + 1/24*y**p + 0*y + 0. Factor o(f).
-(f - 1)*(f + 1)**3/4
Factor 2/3*t**2 + 2/9*t**3 + 0 + 4/9*t.
2*t*(t + 1)*(t + 2)/9
Suppose 4*a - 3*m = -176, -107 - 25 = 3*a + 4*m. Let c be (-4)/a*35 + -3. Solve 0 - 2/11*f**2 - c*f = 0.
-1, 0
Suppose -5 = -5*j - v + 8, -3*v + 9 = 5*j. Let i(k) be the first derivative of 1/2*k**2 - 1/6*k**j + 2 - 1/2*k. Let i