mine a, given that 1/5*a**4 - 1/5*a**5 - 1/5*a + 2/5*a**3 + 1/5 - 2/5*a**2 = 0.
-1, 1
Let a(w) be the first derivative of -w**6/60 - w**5/50 + 23. Factor a(v).
-v**4*(v + 1)/10
Let 32*f**3 - 35*f**3 + 3 - 3 + 3*f**2 = 0. What is f?
0, 1
Let z(i) = -11*i**2 + 0*i - 5 + 0*i + 12*i**2. Let v(a) = -3*a**2 + 14. Let c(l) = 4*v(l) + 11*z(l). Factor c(k).
-(k - 1)*(k + 1)
Let a = -1047 - -4189/4. Let 1/4*w**4 + a - 1/2*w**3 - 1/2*w**2 + 1/4*w + 1/4*w**5 = 0. Calculate w.
-1, 1
Let q(z) be the second derivative of -z**4/3 - 8*z**3/3 - 8*z**2 - 22*z. Find r, given that q(r) = 0.
-2
Let v = 103 + -103. Factor 2/7*w**4 + 0*w + 2/7*w**2 + v + 4/7*w**3.
2*w**2*(w + 1)**2/7
Let b be 3/(-2)*14/(-21). Let p(u) = 3*u**2 + 4*u - 3. Let f be p(b). Determine k so that -1/4*k**2 + 0 - 11/4*k**f - 9/4*k**3 + 1/4*k - k**5 = 0.
-1, 0, 1/4
Let t(l) be the first derivative of -1/5*l + 5 + 1/15*l**3 + 0*l**2. Factor t(g).
(g - 1)*(g + 1)/5
Let w be (-8)/6 + 12/9. Let q be (-3)/(-44) + 6/33. Factor 5/4*z**3 + z**4 + 0*z + 1/2*z**2 + w + q*z**5.
z**2*(z + 1)**2*(z + 2)/4
Let j(u) = -u**2 + 1. Let f(r) = 3*r**3 - 18*r**2 + 6*r + 9. Let m(s) = -f(s) + 9*j(s). Let m(l) = 0. Calculate l.
0, 1, 2
Determine s, given that -3/4*s + 3/4*s**3 - 3/4*s**4 + 3/4*s**2 + 0 = 0.
-1, 0, 1
Suppose -5*f = 4*f. Let m(h) be the first derivative of f*h**2 - 1/8*h**4 + 0*h + 2 - 1/4*h**6 + 2/5*h**5 + 0*h**3. Factor m(j).
-j**3*(j - 1)*(3*j - 1)/2
Let a(v) = 63*v**3 + 72*v**2 + 16*v. Let x(z) = -32*z**3 - 36*z**2 - 8*z. Let c(f) = 4*a(f) + 7*x(f). Factor c(j).
4*j*(j + 1)*(7*j + 2)
Let k(j) = -2*j - 2. Let t be k(-2). Find v such that -6*v**2 + 0*v**2 - 27 - 18*v + t*v**2 + v**2 = 0.
-3
Let d = 4 + -6. Let h be (0/d)/(0 - 2). Factor -1/2*l**2 - 1/2*l + h.
-l*(l + 1)/2
Suppose -u - 7 = -3*s - 21, 2*s = -u - 6. Let y(o) = 4 - 4*o**2 - 2*o + 2*o - 6*o**3. Let v(a) = -a**3 + 1. Let b(p) = s*v(p) + y(p). Factor b(d).
-2*d**2*(d + 2)
Let y(f) = f**3 + f**2 + 5*f - 1. Let b(n) = 3*n**3 + 2*n**2 + 11*n - 2. Let r(t) = -3*b(t) + 7*y(t). What is x in r(x) = 0?
-1, 1/2, 1
Suppose 0 = -2*d + 5*d - 18. Suppose 3*b + 0*b + 3*a = d, 5*b - 5*a - 30 = 0. Suppose -j**3 + 11*j**3 - b*j**2 + 8*j**2 = 0. What is j?
-2/5, 0
Let h(b) = b - 4. Let r be h(6). Let g be 0 - 0 - (5 + -7). Solve -k**3 - 7*k**r - 3*k - k - k**3 + k**g = 0.
-2, -1, 0
Let v(z) = -z**2 - 2*z - 4. Let n be v(-3). Let u = n + 11. Factor 4*w**3 + 1 - w**4 - u*w + 1 - w**4.
-2*(w - 1)**3*(w + 1)
Let y(w) = w**2 - w. Let i(x) = -4. Let d(q) = -3 + 3*q + 3*q - q - 4*q. Let n(s) = 3*d(s) - 2*i(s). Let g(z) = n(z) + 2*y(z). Factor g(c).
(c + 1)*(2*c - 1)
Let x(o) be the first derivative of -o**5/150 - o**4/20 - 2*o**3/15 + 3*o**2/2 + 2. Let b(f) be the second derivative of x(f). Solve b(q) = 0.
-2, -1
Factor -20*y + 2*y**2 - 2*y**2 - 8*y**2 + 3*y**2 + 25.
-5*(y - 1)*(y + 5)
Factor -45*s**3 + 22*s**4 + 146*s**2 - 25*s**3 - 16*s**3 - 112*s - 2*s**5 + 32.
-2*(s - 4)**2*(s - 1)**3
Let t(b) be the first derivative of -4 + 2/15*b**5 - 2/3*b + 2/3*b**2 - 1/3*b**4 + 0*b**3. Factor t(j).
2*(j - 1)**3*(j + 1)/3
Find i, given that -2/3*i**2 - 2/3*i**5 - 2*i**3 + 0 - 2*i**4 + 0*i = 0.
-1, 0
Let s(g) = -4*g**4 + 14*g**3 + 20*g**2 - 40*g + 18. Let x(h) = h**5 - 11*h**4 + 43*h**3 + 60*h**2 - 119*h + 54. Let f(k) = -7*s(k) + 2*x(k). Factor f(o).
2*(o - 1)**3*(o + 3)**2
Let 6*a**3 + 0 + 0*a - 6*a**2 + 3/2*a**4 - 3/2*a**5 = 0. Calculate a.
-2, 0, 1, 2
Let c(j) be the third derivative of j**9/45360 - j**7/2520 - j**6/1080 + j**4/4 - j**2. Let h(b) be the second derivative of c(b). Factor h(p).
p*(p - 2)*(p + 1)**2/3
Let x(k) be the first derivative of 6 + 2/9*k**3 + 1/3*k**4 - 2/3*k**2 + 0*k - 2/15*k**5. Factor x(l).
-2*l*(l - 2)*(l - 1)*(l + 1)/3
Let h(w) be the third derivative of w**8/84 - 2*w**7/35 + w**6/10 - w**5/15 - w**2. Factor h(u).
4*u**2*(u - 1)**3
Let r be (133/42 - 3)*2. Factor r*i - 5/6*i**3 - 1/2*i**2 + 0.
-i*(i + 1)*(5*i - 2)/6
Let y(g) = -7*g**2 + 6*g + 7. Let w(j) = 2 - 6 + 4 - 6*j**2 + 5*j + 6. Let r(x) = -6*w(x) + 5*y(x). Solve r(o) = 0.
-1, 1
Let k(j) be the first derivative of -2/3*j**3 + 3*j**4 + 0*j**2 + 0*j - 1 - 49/12*j**6 - 21/10*j**5. Let k(q) = 0. Calculate q.
-1, 0, 2/7
Suppose -2*s + 50 = 5*y, -5*y - s + 1 = -44. Let i = 13 - y. Find m such that 2*m**5 - 4*m**i + 2*m**5 - 2*m**3 - m**5 + 3*m**4 = 0.
0, 1, 2
Factor 4*j**4 - 2*j**2 + 4 + j**2 - 5*j**2 - 2*j**2.
4*(j - 1)**2*(j + 1)**2
Let u(q) be the first derivative of -q**6/12 - q**5/10 + 22. What is v in u(v) = 0?
-1, 0
Let s(j) be the third derivative of 1/2*j**3 + 0 - 1/4*j**4 + 1/20*j**5 + 0*j - j**2. Factor s(z).
3*(z - 1)**2
Let n(j) be the third derivative of 2/15*j**5 + 0*j - 5*j**2 - 1/15*j**6 + 1/105*j**7 + 0 + 0*j**3 + 0*j**4. Find t, given that n(t) = 0.
0, 2
Let -4/5*q**3 - 4/5*q**2 + 4*q - 12/5 = 0. Calculate q.
-3, 1
Suppose -8 = -k - 3*k. Let 24/11*n**3 - 8/11*n - 18/11*n**4 - 2/11 + 4/11*n**k = 0. What is n?
-1/3, 1
Let u(f) = 31*f**5 - 56*f**4 + 7*f**3 - 9*f - 9. Let t(m) = 8*m**5 - 14*m**4 + 2*m**3 - 2*m - 2. Let i(k) = -18*t(k) + 4*u(k). What is z in i(z) = 0?
0, 2/5, 1
Suppose 11 = 2*o - 7. Determine d so that -o*d**2 - 3*d**2 - 31*d**3 - 7*d**3 - 6*d**5 - 27*d**4 + 2*d**3 = 0.
-2, -1/2, 0
Let i(o) = 21*o**2 + 17*o + 6. Let q = 14 + -10. Let x(p) = 63*p**2 + 50*p + 17. Let v(f) = q*x(f) - 11*i(f). Determine c so that v(c) = 0.
-1/3, -2/7
Let a be ((-6)/8 - -1) + (-3 - -3). Factor -1/4 + 0*y + a*y**2.
(y - 1)*(y + 1)/4
Suppose 6*h**4 - 17*h**2 - h**4 - 3*h**2 = 0. Calculate h.
-2, 0, 2
Let v = 212/3 + -70. Suppose -3*z + 2*w = z, z - 2*w + 6 = 0. Solve -4/3*i - v*i**z + 0 = 0 for i.
-2, 0
Factor -2*u + 0 + 4/3*u**2 + 2/3*u**3.
2*u*(u - 1)*(u + 3)/3
Let w be 1140/266 - (2/7 - 0). Factor 32/3*b**3 + 4/3*b**5 - 6*b**4 + w*b - 2/3 - 28/3*b**2.
2*(b - 1)**4*(2*b - 1)/3
Let i(t) = t**3 - 8*t**2 + 4*t + 3. Let m be i(7). Let s be (-418)/(-99) - (-4)/m. Find c, given that 0 + 2/3*c + 2/3*c**s + 2*c**2 + 2*c**3 = 0.
-1, 0
Let -2*i**3 + 0*i + 2*i**4 + 0*i**2 - 1/2*i**5 + 0 = 0. Calculate i.
0, 2
Suppose p + 3*m + 23 = 0, -5*p - 3*m - 58 + 3 = 0. Let g = -15 - p. Let r(z) = z**2 + 4. Let o(f) = f**2 + 6. Let q(d) = g*r(d) + 5*o(d). Factor q(v).
-2*(v - 1)*(v + 1)
Factor -10/7*u**2 + 0 - 2/7*u**5 + 2/7*u**4 + 6/7*u**3 + 4/7*u.
-2*u*(u - 1)**3*(u + 2)/7
Suppose 0*n**2 + 5/3*n**4 + 0*n + 5/3*n**3 + 0 = 0. What is n?
-1, 0
Let p = -1622/5 - -292. Let y = p + 33. Determine v so that 0*v**2 - y*v**4 + 3/5 - 6/5*v + 6/5*v**3 = 0.
-1, 1
Let u(f) = -f - 7. Let y be u(-7). Let v = 2 + y. Factor -n**4 + n - 3*n**2 - n**3 + 3*n**v + n**2.
-n*(n - 1)*(n + 1)**2
Let p be 10 + 9/(9/(-2)). Suppose 1 + 5 = -o - 5*q, -4*o + p = 4*q. Let 0 - 8/9*t**2 + 4/3*t**3 + 2/9*t - 8/9*t**o + 2/9*t**5 = 0. Calculate t.
0, 1
Factor 5*n**2 - 99*n**3 + 3*n**4 - 18*n**4 - 10*n + 119*n**3.
-5*n*(n - 1)**2*(3*n + 2)
Let l(x) = 9*x**4 + x**3 - 9*x**2 - x - 5. Let b(d) = 26*d**4 + 2*d**3 - 26*d**2 - 2*d - 14. Let o(u) = -5*b(u) + 14*l(u). Factor o(s).
-4*s*(s - 1)**2*(s + 1)
Let w(f) be the first derivative of -5*f**4/4 - 10*f**3/3 + 5*f**2/2 + 10*f + 10. Find z such that w(z) = 0.
-2, -1, 1
Let b = -58/987 + 5/47. Let s(r) be the second derivative of 1/2*r**4 + 2/7*r**2 - 3*r + 11/21*r**3 + 0 + b*r**6 + 17/70*r**5. Factor s(h).
2*(h + 1)**3*(5*h + 2)/7
Let g = 3 + -1. Solve t**2 - 5*t**2 + 2*t**g + t**3 + 0*t**3 = 0.
0, 2
Let b(s) be the first derivative of 50*s**5/9 - 275*s**4/18 + 140*s**3/9 - 68*s**2/9 + 16*s/9 - 3. Factor b(g).
2*(g - 1)*(5*g - 2)**3/9
Factor r**4 + 5*r**3 - 6*r**4 - 32*r**5 + 27*r**5 + 5*r**2.
-5*r**2*(r - 1)*(r + 1)**2
Suppose -8/7*p**2 + 0 + 8/7*p + 2/7*p**3 = 0. What is p?
0, 2
Let g(v) be the first derivative of -v**8/1680 + v**7/420 - 2*v**3 - 4. Let q(t) be the third derivative of g(t). Factor q(c).
-c**3*(c - 2)
Suppose 0*u = -u. Let z(f) be the third derivative of u + 1/10*f**5 + 7/60*f**4 + 0*f + 3/100*f**6 + 1/15*f**3 + 2*f**2. Factor z(h).
2*(h + 1)*(3*h + 1)**2/5
Let g(y) = y**3 - 11*y**2 + 16*y + 18. Let n be g(9). Find d such that 8*d**5 - 7/2*d**3 + 4*d**4 + 0*d + n + 1/2*d**2 = 0.
-1, 0, 1/4
Determine k, given that 0 + 6/13*k**3 - 6/13*k - 2/13*k**2 + 2/13*k**4 = 0.
-3, -1, 0, 1
Let u = -415/6 - -70. Let z(g) be the first derivative of 14/9*g**3 + 0*g + u*g**4 - 2 + 2/3*g**2