 -1/2 - 5/6*o**2 + 7/6*o + 1/6*o**3 = 0. Calculate o.
1, 3
Factor 0 + 0*l + 1/4*l**2.
l**2/4
Let h = -2 - -5. Let -6*j**3 - j**5 + h*j**3 + 4*j**3 = 0. What is j?
-1, 0, 1
Factor -2/7*k + 2/7*k**5 + 4/7*k**2 + 0 - 4/7*k**4 + 0*k**3.
2*k*(k - 1)**3*(k + 1)/7
Let u = -4 + 14. Suppose -3*c - 4*l + 3*l = -6, 5*c = 3*l + u. Factor -1/4*a - 1/4*a**c + 5/4*a**4 + 0 + 1/2*a**5 + 3/4*a**3.
a*(a + 1)**3*(2*a - 1)/4
Factor 74 + 138*s**2 + 180*s + 1 + 13*s**4 + 36*s**3 - 19*s**4 + 9*s**4.
3*(s + 1)**2*(s + 5)**2
Let l(u) be the second derivative of 2*u**6/45 + 2*u**5/45 - u**4/9 - 4*u**3/27 + 10*u. Find d such that l(d) = 0.
-1, -2/3, 0, 1
Let 8/9 - 2/9*d**2 + 2/9*d**3 - 8/9*d = 0. What is d?
-2, 1, 2
Factor -8/7 + 10/7*k - 2/7*k**2.
-2*(k - 4)*(k - 1)/7
Let c**3 + 1/3*c**2 + c**4 + 0 + 1/3*c**5 + 0*c = 0. Calculate c.
-1, 0
Solve -6*t**2 + 1 + 2*t + t**3 + 3*t**3 - t**2 + 0*t**2 = 0.
-1/4, 1
Let k(a) be the first derivative of a**5/15 - a**4/12 - 2*a**3/9 + 1. Solve k(p) = 0.
-1, 0, 2
Let n = 301 + -297. Determine g so that -8/11*g**2 + 2/11*g**5 - 4/11*g**3 + 4/11*g**n + 2/11*g + 4/11 = 0.
-2, -1, 1
Let m be (-15)/54*2/(-20). Let x(g) be the second derivative of 2*g + 0 + m*g**4 + 1/9*g**3 + 1/6*g**2. Factor x(h).
(h + 1)**2/3
Suppose -3 + 8 = 4*y - s, -2*y = 3*s - 13. Factor 0*p + 1/2*p**2 + 0 + y*p**5 - 7/2*p**4 + p**3.
p**2*(p - 1)**2*(4*p + 1)/2
Let u(t) be the first derivative of 2*t**5/15 + 2*t**4/3 - 4*t**3/9 - 4*t**2 + 6*t + 50. Let u(o) = 0. What is o?
-3, 1
Let a(s) be the first derivative of -s**5/10 + s**4/2 - 2*s**3/3 - 5*s + 2. Let i(v) be the first derivative of a(v). Factor i(o).
-2*o*(o - 2)*(o - 1)
Let r be (-24)/90 - ((-3)/(-9) - 1). Factor -r*g**2 - 2/5*g + 4/5.
-2*(g - 1)*(g + 2)/5
Find q such that 12*q + 28/3*q**2 + 8/3 = 0.
-1, -2/7
Let w be 2 + -1 - 3 - -5. Suppose 14 = -r + w*r. What is x in -7 + 2*x**2 + r + x + x**3 = 0?
-1, 0
Let 8/5*r**4 + 0*r + 0 - 8/5*r**2 - 4/5*r**5 + 4/5*r**3 = 0. What is r?
-1, 0, 1, 2
What is g in -2*g + 1/3*g**2 - 16/3 = 0?
-2, 8
Suppose 3*w = 3, -2*w + 9 = 2*z + 1. Factor 3*a**3 + 3*a**4 - 4*a**3 + z*a**4 - 6*a**2 + 4*a**3 - 3*a.
3*a*(a - 1)*(a + 1)*(2*a + 1)
Let l(x) be the third derivative of -x**8/1008 + 2*x**7/315 + x**6/60 - x**5/45 - 5*x**4/72 + 2*x**2 - 8. Find o such that l(o) = 0.
-1, 0, 1, 5
Let s be (6/(-4))/((-1)/2). Suppose 0 = -2*q - 2*q - 3*a, 0 = s*q + 5*a. Factor -2/9*j**3 + q*j**2 + 0 + 2/9*j.
-2*j*(j - 1)*(j + 1)/9
Let b be (-1)/6*(-12)/9. Let n(r) be the first derivative of -1/3*r**2 + 1/6*r**4 + b*r**3 - 2/3*r - 1. Factor n(z).
2*(z - 1)*(z + 1)**2/3
Let g(x) = -2*x**2 - 11*x - 27. Let t(w) = 3*w**2 + 16*w + 40. Let c(d) = -8*g(d) - 5*t(d). Factor c(m).
(m + 4)**2
Let g(u) be the first derivative of 2 + 2*u - 1/15*u**4 - 1/75*u**6 + 3/50*u**5 + 0*u**2 + 0*u**3. Let a(o) be the first derivative of g(o). Factor a(v).
-2*v**2*(v - 2)*(v - 1)/5
Let g(z) be the first derivative of 16*z**7/105 + 4*z**6/15 + z**5/6 + z**4/24 - z**2/2 - 4. Let b(x) be the second derivative of g(x). Factor b(r).
r*(2*r + 1)*(4*r + 1)**2
Let b be (27/(-6))/((-1)/2). Suppose -4*l + 12 = 5*h - 3, 0 = -2*l + 3*h - b. Factor -4/5*k**4 + 2/5*k**5 + 2/5*k**3 + l*k**2 + 0*k + 0.
2*k**3*(k - 1)**2/5
Suppose 0*i - 32 = -2*i. Let x be 3/8*i/8. Find d, given that 1/4*d + 0 + x*d**2 = 0.
-1/3, 0
Let z(w) be the second derivative of -4/5*w**2 + 4/15*w**3 - 1/30*w**4 + 0 + w. Find r, given that z(r) = 0.
2
Suppose o + 15 = 6. Let x be (o/(-2))/(-9)*0. Find t such that x*t + 0 + 1/3*t**2 - 1/3*t**3 = 0.
0, 1
Let p = 14 + -16. Let x be p + -3 + (-17)/(-3). Find w such that -2/3*w**5 - x - 2/3*w**4 + 4/3*w**3 - 2/3*w + 4/3*w**2 = 0.
-1, 1
Factor 2*h**2 - 13*h**2 - 8 - 7*h**2 + 24*h.
-2*(3*h - 2)**2
Let d = -67 + 68. Determine i so that 0*i**2 + 1/2*i**3 - 3/2*i - d = 0.
-1, 2
Let g(p) be the third derivative of -p**7/280 + p**5/40 - p**3/3 - 4*p**2. Let z(b) be the first derivative of g(b). Factor z(u).
-3*u*(u - 1)*(u + 1)
Let u(x) be the third derivative of 7*x**5/15 - 3*x**4/2 + 4*x**3/3 + 8*x**2. Determine w so that u(w) = 0.
2/7, 1
Let d(v) = -5*v**2 + 3*v. Let m(h) be the first derivative of -2*h**3/3 + h**2/2 + 2. Let q(a) = 3*d(a) - 7*m(a). Factor q(f).
-f*(f - 2)
Let v(z) be the first derivative of 2/9*z + 2 + 2/3*z**3 + 2/3*z**2. Factor v(d).
2*(3*d + 1)**2/9
Let k = 13 + -11. Factor a**2 + a**3 + 2*a**k - a - 2*a**4 - a**2.
-a*(a - 1)*(a + 1)*(2*a - 1)
Let g be 4 + 14*8/4. Let s = 32 - g. Suppose -1/3*t**2 - 1/3*t**3 + s + 1/3*t**4 + 1/3*t = 0. Calculate t.
-1, 0, 1
Let p(v) = 3*v**2 - 2*v - 3. Let z be p(-1). Factor 10/7*o**4 + 10/7*o + 2/7 + 20/7*o**z + 20/7*o**3 + 2/7*o**5.
2*(o + 1)**5/7
Factor -2/3 - 2/3*m**3 + 2/3*m**2 + 2/3*m.
-2*(m - 1)**2*(m + 1)/3
Let w(q) be the first derivative of -q**5/20 - q**4/12 + q**3/3 + 4*q + 3. Let g(n) be the first derivative of w(n). Factor g(a).
-a*(a - 1)*(a + 2)
Let s be (-3 - -2)*2/(-4) - 0. Factor 0 + 0*i**2 + 1/4*i**3 + 0*i + 1/4*i**5 + s*i**4.
i**3*(i + 1)**2/4
Let v(o) be the third derivative of -o**8/6720 - o**7/2520 - o**4/8 + 2*o**2. Let g(z) be the second derivative of v(z). Suppose g(u) = 0. Calculate u.
-1, 0
Let i be (-3)/18*(-3)/2. Determine d, given that -1/2*d**2 + 0*d**4 - 3/4*d + 1/2 + d**3 - i*d**5 = 0.
-2, -1, 1
Factor 0 + 0*b - 6/17*b**2 + 2/17*b**3.
2*b**2*(b - 3)/17
Let i(q) = -9*q**3 + 24*q**2 - 21*q + 4. Let s(m) = 9*m**3 - 24*m**2 + 21*m - 3. Let r(b) = 3*i(b) + 2*s(b). What is a in r(a) = 0?
2/3, 1
Let v be 15/3 + 3*-1. Let n be (2/3)/(v/3). Factor -n + 1 + 2*d + d**2 + d**2.
2*d*(d + 1)
Suppose i - 25 = -4*i. Determine s so that -32*s**2 - 12*s**4 - 3 - 1 + 18*s + 2*s**i + 7*s**3 + 21*s**3 = 0.
1, 2
Let g be 6 + 3 + -3 + -3. Let q(o) be the first derivative of 1/3*o**3 - o**2 - g + o. Determine y so that q(y) = 0.
1
Let b be (3*20/(-6))/(-2). Let 0*p**2 + 3*p**2 - p**3 - 7*p + b*p = 0. Calculate p.
0, 1, 2
Let d(q) be the first derivative of 1/12*q**4 - 5/9*q**3 + 4/3*q**2 - 4/3*q + 2. Factor d(x).
(x - 2)**2*(x - 1)/3
What is r in -32/9*r**2 + 0*r + 0 - 2/9*r**4 - 16/9*r**3 = 0?
-4, 0
Determine z, given that -2*z**4 - z**3 + 9*z**3 + 7*z**4 - z**4 - 8*z - 4 = 0.
-1, 1
Let y(t) be the third derivative of t**10/90720 - t**8/10080 + t**6/2160 - t**4/8 + 4*t**2. Let j(p) be the second derivative of y(p). Factor j(x).
x*(x - 1)**2*(x + 1)**2/3
Factor 1/3*y**3 + 2/3*y**2 - 8/3*y + 0.
y*(y - 2)*(y + 4)/3
Let z = -895/8 - -112. Let b(m) be the first derivative of z*m**2 + 1/2*m - 1/12*m**3 - 1. Factor b(r).
-(r - 2)*(r + 1)/4
Find c, given that 4*c**2 - 26*c**5 + 12*c**4 + 3*c**3 + 22*c**5 - 15*c**3 = 0.
0, 1
Factor 2/7*n**3 + 0 - 2/7*n + 0*n**2.
2*n*(n - 1)*(n + 1)/7
Suppose -4*l + 16 = -r, l - 5 + 0 = 0. Let s(k) be the first derivative of -k**2 - 7/6*k**3 + 3 + 2*k - 1/4*k**r. Determine u, given that s(u) = 0.
-2, 1/2
Let n(c) = c**2 + 2*c - 1. Let l(f) = -2*f**2 - 4*f + 3. Let p(t) = -2*l(t) - 5*n(t). Factor p(g).
-(g + 1)**2
Let s = -447/8 - -56. Let l(z) be the third derivative of -1/6*z**3 + 0*z - 4*z**2 - 1/20*z**5 - s*z**4 - 1/120*z**6 + 0. Suppose l(t) = 0. Calculate t.
-1
Let n(j) be the first derivative of -j**4/20 + j**3/5 - j**2/5 + 16. Determine a so that n(a) = 0.
0, 1, 2
Let r be -5 + 10/(80/42). Solve r + 1/2*a + 1/4*a**2 = 0 for a.
-1
Factor 55*t**4 + 27*t**5 - 2*t**2 - t**2 - 15*t**3 - 64*t**4.
3*t**2*(t - 1)*(3*t + 1)**2
Let i = -3 - -6. Find y such that 0*y**i + 0 - 2/9*y**2 + 0*y + 2/9*y**4 = 0.
-1, 0, 1
Let h = -42 + 45. Let u(k) be the second derivative of 0 - 1/27*k**h - 1/54*k**4 + 2/9*k**2 + 3*k. Factor u(x).
-2*(x - 1)*(x + 2)/9
Let h(l) be the second derivative of l**5/80 + 5*l**4/16 + 21*l**3/8 + 49*l**2/8 + 33*l. Factor h(q).
(q + 1)*(q + 7)**2/4
Let t(k) be the third derivative of -k**7/105 + k**6/20 - k**5/30 - k**4/4 + 2*k**3/3 + 9*k**2. Suppose t(q) = 0. What is q?
-1, 1, 2
Factor -26 - 40*j + 18 + 16 + 50*j**2.
2*(5*j - 2)**2
Factor x**3 + 47*x + 20 - 4 - 39*x - 7*x**2.
(x - 4)**2*(x + 1)
Suppose 2*p + p = 0. Let m(t) be the first derivative of p*t**2 - 1 + 0*t**4 + 0*t**3 + 2/25*t**5 + 0*t. Factor m(b).
2*b**4/5
Let h be (-2)/(-1) - (-1280)/(-720). Factor 0 + 0*f**2 + h*f**4 + 0*f + 4/9*f**3.
2*f**3*(f + 2)/9
Factor 39*f**2 - 21*f**3 - 60*f + 24 + 2*f**2 + 3*f**4 + 13*f**2.
3*(f - 2)**3*(f - 1)
Let k = 30742 