*x**4 + 5 + 0*x. Factor o(r).
2*r*(r - 1)*(5*r - 2)/3
Let x(w) be the second derivative of -w**5/60 + w**4/3 - 8*w**3/3 + 3*w**2/2 - 2*w. Let b(i) be the first derivative of x(i). Find t, given that b(t) = 0.
4
Let q = -92 - -3037/33. Let j(s) be the second derivative of s + 0*s**2 - q*s**4 + 0*s**3 + 0 - 1/110*s**5. Factor j(l).
-2*l**2*(l + 2)/11
Let i(c) be the third derivative of c**6/720 - c**5/180 - c**4/144 + c**3/18 + 15*c**2. Factor i(g).
(g - 2)*(g - 1)*(g + 1)/6
Let z(m) = -m**2 - 3*m. Let u be z(-3). Let h be u + 1 - (-1)/(-5). Suppose -2/5 - h*l**3 + 6/5*l**4 - 4/5*l**2 + 6/5*l - 2/5*l**5 = 0. Calculate l.
-1, 1
Let l = 306 + -306. Factor -2/5*c**2 + l - 2/5*c.
-2*c*(c + 1)/5
Let o(c) be the second derivative of -c**4/6 + c**3 - 2*c**2 + 5*c. Determine d so that o(d) = 0.
1, 2
Suppose 4*a - 4 = 12. Factor -8*l**a - 5*l**4 + 17*l**4 + 4*l**2 - 8*l**3.
4*l**2*(l - 1)**2
Let a(y) be the second derivative of -1/21*y**7 + 2*y**4 + 4*y + 0*y**2 - 13/10*y**5 + 2/5*y**6 - 4/3*y**3 + 0. Factor a(n).
-2*n*(n - 2)**2*(n - 1)**2
Let l(k) be the first derivative of k**6/5 + k**5/5 - k**4/6 - 2*k - 1. Let m(r) be the first derivative of l(r). Let m(z) = 0. What is z?
-1, 0, 1/3
Let b(y) = 4*y**2 - 1. Let i be b(-1). Find a, given that a**3 + 2*a**3 - a**2 - a**2 - 2*a**i = 0.
0, 2
Let o(p) = p**4 + p**3 - p - 1. Let k(h) = -7*h**4 + h**3 + 6*h**2 - 9*h + 9. Let m(a) = -2*k(a) - 18*o(a). Factor m(x).
-4*x*(x - 1)*(x + 3)**2
Let k(z) be the second derivative of z**4/24 + z**3/6 - 3*z. Suppose k(h) = 0. What is h?
-2, 0
Let l = -135347/3120 - -564/13. Let n(c) be the third derivative of 0 + 3*c**2 + 0*c - 1/96*c**4 + 0*c**3 - l*c**5. Factor n(x).
-x*(x + 1)/4
Let n = -139/4 + 35. Let k(w) = w**2 + 8*w - 6. Let q be k(-9). Suppose 0 + 1/2*s**q + 1/4*s**4 + 0*s + n*s**2 = 0. What is s?
-1, 0
Let x(c) = 2*c + 27. Let q be x(-12). Let -4/3 - 2/3*g + 4/3*g**2 + 2/3*g**q = 0. Calculate g.
-2, -1, 1
What is q in -3/5*q**2 + 0*q + 3/5*q**5 + 3/5*q**4 + 0 - 3/5*q**3 = 0?
-1, 0, 1
Let f(k) = -2*k + 1. Let l be f(-1). Find c, given that 3 - 4*c**2 - 2*c - 1 + 2*c**l + 2 = 0.
-1, 1, 2
Suppose -3*y - 4*q - 16 = 0, -3*q + 12 = 2*y - 6*q. Let u(h) be the first derivative of -1/5*h**2 - 3 + 1/10*h**4 + 0*h + y*h**3. Let u(v) = 0. Calculate v.
-1, 0, 1
What is n in 3*n**4 - 1 + 2*n + 4*n**3 - 2*n**2 - n**5 - 3*n + 4*n - 6*n**3 = 0?
-1, 1
Let t(l) be the third derivative of 0*l + 1/245*l**7 + 0*l**3 + 1/42*l**5 + 1/84*l**4 - 8*l**2 + 1/60*l**6 + 0. Find o, given that t(o) = 0.
-1, -1/3, 0
Let z(g) be the third derivative of 0 + 0*g + 0*g**3 + 4*g**2 - 1/480*g**6 - 1/120*g**5 - 1/96*g**4. Solve z(w) = 0.
-1, 0
Suppose -2*k - 2*k - 4*v + 4 = 0, -9 = 3*v. Factor 4*z**k + z**2 + z**3 - 1 + 1 - z - 5*z**4.
-z*(z - 1)**2*(z + 1)
Let z(m) = 12*m**5 + 17*m**4 - 65*m**3 + 7*m**2 + 36*m - 24. Let s(x) = -2*x**5 - 3*x**4 + 11*x**3 - x**2 - 6*x + 4. Let h(o) = 34*s(o) + 6*z(o). Factor h(l).
4*(l - 1)**3*(l + 1)*(l + 2)
Let w be (6 + 1)/(6/(-30)). Let v = w + 35. What is u in v - 1/5*u**2 - 1/5*u = 0?
-1, 0
Let z be 0*(-4 - -7 - 4). Let a(s) be the third derivative of 1/30*s**5 + 0*s**3 + 0 - 3*s**2 + 0*s**4 + z*s. Find x, given that a(x) = 0.
0
Let y be (-8)/32 - 26/(-8). Suppose y*j - j - 4 = 0. Factor 1/2*h**5 - 5/2*h**j + 0 - h + 1/2*h**4 - 3/2*h**3.
h*(h - 2)*(h + 1)**3/2
Let y(i) = i**5 - i**4 - i**3 - i**2 - 1. Let m(b) = -b + 33*b**4 - 7*b**5 + 8 + 8*b**3 - 25*b**4 + b**2 + b**2. Let w(g) = -m(g) - 6*y(g). Factor w(l).
(l - 2)*(l - 1)**2*(l + 1)**2
Let a(y) be the first derivative of y**4/2 + 8*y**3/3 + 4*y**2 - 30. Factor a(k).
2*k*(k + 2)**2
Let s(b) = 44*b - 174. Let t be s(4). Let 0 - 1/5*a**t + 0*a = 0. Calculate a.
0
Let r(u) be the second derivative of -u**6/135 - u**5/90 + u**4/27 + 2*u. Factor r(q).
-2*q**2*(q - 1)*(q + 2)/9
Let v = -44 + 48. Solve -1/4*t**2 + 0*t + 0*t**3 + 0 + 1/4*t**v = 0 for t.
-1, 0, 1
Let x = 1328/1005 + 4/335. Factor -x*z**2 - 2/3*z - 2/3*z**3 + 0.
-2*z*(z + 1)**2/3
Let s(b) be the first derivative of -4*b**5/5 + 2*b**4 - 4*b**3/3 - 5. Determine f so that s(f) = 0.
0, 1
Let w(f) be the first derivative of f**6/240 + f**5/40 + f**4/16 + f**3/3 - 5. Let o(g) be the third derivative of w(g). Find h, given that o(h) = 0.
-1
Let k be (-8)/(-14) - 400/(-5376). Let x = 1/48 + k. Factor 2*v**3 + x*v**4 - 2*v - 4/3 + 2/3*v**2.
2*(v - 1)*(v + 1)**2*(v + 2)/3
Suppose 0*x + 1/6*x**4 - 1/3*x**2 + 1/6*x**3 + 0 = 0. Calculate x.
-2, 0, 1
Let q be (3/(-9))/(3/36) - -6. Let v be ((-6)/15)/(18/(-10)). Factor 0 + v*g + 2/9*g**q.
2*g*(g + 1)/9
Let a be (-23)/54 + 6/12. Let g(v) be the third derivative of 0 + 2*v**2 + 1/54*v**5 - a*v**4 - 1/540*v**6 + 4/27*v**3 + 0*v. Determine t so that g(t) = 0.
1, 2
Suppose k = -5*h - 19, 0 = h - 3*k - 6 - 3. Let n be (7/(-2) - h)/(-1). Factor n*b**2 + 0*b - 1/2.
(b - 1)*(b + 1)/2
Let x = 2/103 - -200/309. Factor 2/9*g**2 + 0 - x*g.
2*g*(g - 3)/9
Let l = 103 + -101. Let o(x) be the second derivative of 0*x**l + 1/16*x**4 - 1/8*x**3 + 0 + 4*x. Factor o(g).
3*g*(g - 1)/4
Let q = 14 + -10. Let v be (q/7)/(18/21). Suppose 0*d + 2/3 - v*d**2 = 0. What is d?
-1, 1
Let t(v) be the second derivative of v**6/15 + v**5/10 - v**4/2 - 5*v**3/3 - 2*v**2 - 2*v. Find p, given that t(p) = 0.
-1, 2
Let p(d) be the third derivative of d**8/60480 - d**7/15120 - d**5/6 + 8*d**2. Let g(r) be the third derivative of p(r). Factor g(t).
t*(t - 1)/3
Suppose 3*g - 1 + 10 = 0. Let m be (-4)/g - (-6)/9. Factor 0*l - 2*l - 4*l**m + 2 + 2*l + 2*l**4.
2*(l - 1)**2*(l + 1)**2
Suppose -24*c - 6 - 9/2*c**3 - 39/2*c**2 = 0. Calculate c.
-2, -1/3
Let n(z) = z**2 + 3*z + 2. Let k be n(-3). Suppose 0*j - 6*j**3 - 88*j**2 - 4*j + 98*j**k = 0. Calculate j.
0, 2/3, 1
Let p(d) be the first derivative of -d**6/1260 + d**5/140 - 3*d**3 + 8. Let i(j) be the third derivative of p(j). Factor i(r).
-2*r*(r - 3)/7
Let v be (30/9)/((-4)/(-6)). Suppose -i = -2*c + 5, v = 3*c - 5*i + i. Find p, given that -8*p**4 + 6*p**2 - 2*p + 5*p**2 - c*p**2 + 6*p**5 - 4*p**3 = 0.
-1, 0, 1/3, 1
Factor 2*z**3 - 5*z**2 + z**3 + 2*z**2.
3*z**2*(z - 1)
Suppose 0*x = -3*x. Let y(s) be the third derivative of x*s + 0 - 2/3*s**3 - 1/12*s**5 - 1/120*s**6 - 2*s**2 - 1/3*s**4. Suppose y(t) = 0. What is t?
-2, -1
Let m(a) = a**3 + 10*a**2 - 11*a + 2. Let g be m(-11). Find z, given that g - 2 - z**2 - 2*z + 3*z**2 = 0.
0, 1
Let y be 8/(-6) + (-14)/21. Let s be 14/(-7)*3/y. Suppose 8*o**2 - 10/3*o**s + 4/3 - 6*o = 0. Calculate o.
2/5, 1
Let b(p) be the second derivative of 0*p**6 + 0*p**2 + 0*p**4 - 4*p + 1/42*p**7 + 0 - 1/20*p**5 + 0*p**3. Factor b(n).
n**3*(n - 1)*(n + 1)
Find g, given that -g**2 + 2 + 2 + 1 - 3 + g = 0.
-1, 2
Find v such that 33*v**3 - 33*v**2 + 9 + 12*v**4 - 7*v**4 - 14*v**4 - 3 + 3*v = 0.
-1/3, 1, 2
Let g(z) be the first derivative of 1 + 0*z + 0*z**2 - 4/15*z**3 + 1/10*z**4 + 2/25*z**5. Determine x, given that g(x) = 0.
-2, 0, 1
Let z(v) = -v + 5. Let i be z(3). Solve r**5 + 2*r**i - 14*r**3 + 16*r**3 - r**4 - 2*r**4 - 3*r + 1 = 0 for r.
-1, 1
Factor 1 + 2*f**5 + 2*f**5 + 2*f**3 + 2*f**2 - 3*f**5 + f**4 - 3*f - 4*f**4.
(f - 1)**4*(f + 1)
Determine o so that 4*o**3 - 53*o + 101*o + 2*o**2 + 32 + 22*o**2 = 0.
-2
Let r be 18/(-14) + 10/35. Let s be (1 + r)/(4/(-2)). Suppose s*h**2 + 0 + 0*h**3 - 2/3*h**5 - 2/3*h**4 + 0*h = 0. What is h?
-1, 0
Let l(y) be the third derivative of y**6/2 + 13*y**5/15 - y**4/2 - 2*y**3/3 - 2*y**2. Let l(m) = 0. What is m?
-1, -1/5, 1/3
Let r(g) = -g**5 - g**4 - g**2 - g - 1. Let d(c) = 24*c**5 + 112*c**4 + 220*c**3 + 216*c**2 + 100*c + 20. Let a(z) = d(z) + 4*r(z). Factor a(i).
4*(i + 1)**3*(i + 2)*(5*i + 2)
Let d = 490 - 2438/5. Let -d*o**2 + 36/5*o**4 + 0 + 6/5*o**3 - 27/5*o**5 - 3/5*o = 0. What is o?
-1/3, 0, 1
Let u = 43/30 + -14/15. Let 0*h**2 - h**4 + 0*h + 0 - u*h**3 - 1/2*h**5 = 0. Calculate h.
-1, 0
Suppose 0 = 4*a + z - 14, -4*z = -2*a - 0*z + 16. Determine b so that 0*b - a*b + 0*b - b**2 - b**2 = 0.
-2, 0
Solve 1/6*r**2 - 2/3 + 1/2*r = 0 for r.
-4, 1
Let q be (-8)/6*(-6)/(-4). Let y be (0*q/4)/2. Factor y*u + 1/4*u**4 - u**5 + 0 + 0*u**2 + 0*u**3.
-u**4*(4*u - 1)/4
Let u(o) be the first derivative of o**6/540 - o**5/54 + 7*o**4/108 - o**3/9 + o**2 - 5. Let c(t) be the second derivative of u(t). Let c(b) = 0. What is b?
1, 3
Let m(x)