 third derivative of -1/30*p**z + p**2 + 0 + 0*p - 1/105*p**7 + 0*p**4 + 0*p**3 - 1/30*p**6. Factor x(u).
-2*u**2*(u + 1)**2
Let y(f) = f + 13. Let h be y(-10). Determine s, given that -5*s**4 + 5*s**3 - 4*s**3 + s**4 + h*s**4 = 0.
0, 1
Suppose 2/7*l**2 - 2/7*l**3 - 2/7*l**4 + 2/7*l + 0 = 0. What is l?
-1, 0, 1
Factor 102*d - 5*d**2 - 90*d + d**2.
-4*d*(d - 3)
Let c(x) be the second derivative of -x**5/180 + x**4/18 - 2*x**3/9 + 5*x**2/2 - 2*x. Let z(p) be the first derivative of c(p). Factor z(i).
-(i - 2)**2/3
Suppose 3*i - 4*v = i - 4, -2 = -v. Suppose 0*d = -3*d + 5*r + 14, 0 = 3*r + 3. Suppose 2*p**5 + 0*p**i - 2*p**d - 2*p**4 + p**2 + p**2 = 0. Calculate p.
-1, 0, 1
Suppose -8/21*q + 0 + 2/7*q**3 + 0*q**2 - 2/21*q**4 = 0. Calculate q.
-1, 0, 2
Let q be 1 + -2 + 2 - -2. What is m in 14/3*m + 2/3 - 32/3*m**q + 16/3*m**2 = 0?
-1/4, 1
Let z(d) = -d**5 - d**4 - d**3 + d - 1. Let w(t) = -5*t**5 + t**4 - 8*t**3 + 4*t - 4. Let x(c) = 5*w(c) - 20*z(c). Factor x(l).
-5*l**3*(l - 4)*(l - 1)
Let c(n) be the third derivative of n**8/168 - 2*n**7/105 - n**6/30 + 2*n**5/15 + n**4/12 - 2*n**3/3 + 2*n**2. Suppose c(i) = 0. Calculate i.
-1, 1, 2
Factor 2 - 2*b**4 - 6 + 6*b**2 + 0 + 2*b - 2*b**3.
-2*(b - 1)**2*(b + 1)*(b + 2)
Suppose -5*c - 2*g = -15, 0*c - g + 3 = c. Factor -1/5 - 2*f**2 - 2*f**c - f - 1/5*f**5 - f**4.
-(f + 1)**5/5
Let x(k) be the first derivative of -1/3*k**3 + 2 - 1/4*k**4 + k + 1/2*k**2. Suppose x(h) = 0. Calculate h.
-1, 1
Let m be 1 - (-5)/(90/(-16)). Let x(c) be the second derivative of 1/63*c**7 + 0*c**5 + 2*c + 0*c**2 - 1/9*c**3 + 0 - 2/45*c**6 + m*c**4. Factor x(p).
2*p*(p - 1)**3*(p + 1)/3
Let t(i) = -i**2 - 1. Let y(z) = -2*z**2 - 3. Let h(c) = 5*t(c) - 2*y(c). Factor h(g).
-(g - 1)*(g + 1)
Let c be (96/(-28))/(2/14). Let n = c - -26. Factor -8/3*f**n + 10/3*f - 2/3.
-2*(f - 1)*(4*f - 1)/3
Suppose -m - 6 = -4*r, -m - 4 = 3*r - 6*m. Solve -2/3*a**3 - 1/3 + a - 1/3*a**5 - 2/3*a**r + a**4 = 0 for a.
-1, 1
Let f(v) be the second derivative of 0 - 1/4*v**2 - 1/80*v**5 + 5/24*v**3 - 1/16*v**4 + 1/120*v**6 + 6*v. Factor f(d).
(d - 1)**3*(d + 2)/4
Let n(p) be the first derivative of 2 - 2/5*p**3 + 0*p**2 + 8/5*p - 1/10*p**4. Let n(z) = 0. What is z?
-2, 1
Let o(s) = 2*s - 4. Let v be o(3). Factor -6*m**2 + v - 3*m**3 - 2.
-3*m**2*(m + 2)
Let a be 71/45 + (6 - (-364)/(-63)). Suppose -6/5 - 6/5*h**2 + a*h**3 - 21/5*h = 0. What is h?
-1, -1/3, 2
Let q(t) be the third derivative of -t**5/30 - 5*t**4/3 - 100*t**3/3 - 18*t**2. Factor q(i).
-2*(i + 10)**2
Let l(y) = -4*y**4 + 8*y - 6. Let h(f) = -f**4 - f**3 - f**2 + f - 1. Let o(i) = 6*h(i) - l(i). Let o(k) = 0. Calculate k.
-1, 0
Let a(t) be the first derivative of -1/5*t**2 + 1/15*t**3 - 3 + 1/5*t. Factor a(n).
(n - 1)**2/5
Determine u so that u**2 + 0*u**2 + 3*u**2 + 2*u**3 = 0.
-2, 0
Factor 0*m**2 + 0*m - 1/3*m**3 + 0.
-m**3/3
Suppose z + 3 = b, -2*z - 3*z - 7 = -3*b. Solve 5*l + 6*l - 11*l - l**b + l**2 = 0 for l.
-1, 0, 1
Let q(j) be the third derivative of -j**6/20 + j**5/4 - j**4/2 + j**3/2 + 14*j**2. Factor q(s).
-3*(s - 1)**2*(2*s - 1)
Let y = -140 - -281/2. Determine j, given that 0*j - 1/3*j**4 + y*j**5 + 1/3*j**2 + 0 - 1/2*j**3 = 0.
-1, 0, 2/3, 1
Let f be 3021/424 + 7/(-1). Factor -3/8*g**3 + f*g**5 + 0 + 1/4*g + 1/8*g**4 - 1/8*g**2.
g*(g - 1)**2*(g + 1)*(g + 2)/8
Let v = -64 - -578/9. Suppose -r + 6 = 2*r. What is c in 2/9*c + 0 + v*c**r = 0?
-1, 0
Let i be (-16)/24 + 62/3. Suppose 0*u - i = -5*u. Factor -2/3*c**5 + 4/9 + 10/9*c - 20/9*c**3 + 0*c**2 - 20/9*c**u.
-2*(c + 1)**4*(3*c - 2)/9
Suppose -2*b + 8 = 2*b. Let s be (b + -3)/(14/(-12)). What is x in -s*x - 2/7*x**3 - 2/7 - 6/7*x**2 = 0?
-1
Let r(i) be the second derivative of i**6/36 + 7*i**5/120 - i**4/9 - i**3/9 - 2*i. Factor r(y).
y*(y - 1)*(y + 2)*(5*y + 2)/6
Let x(s) = 16*s**4 - 16*s**3 - 4*s. Let d(u) = u**5 + 17*u**4 - 17*u**3 - u**2 - 5*u. Let w(h) = -4*d(h) + 5*x(h). Solve w(v) = 0 for v.
0, 1
Factor 0*l**4 - 8*l**2 - 7*l**3 - 2*l**3 - 4*l**4 - 3*l**3.
-4*l**2*(l + 1)*(l + 2)
Let m(y) be the second derivative of y**5/8 - 5*y**4/8 + 5*y**3/4 - 5*y**2/4 - y. Factor m(f).
5*(f - 1)**3/2
Let i(o) be the first derivative of -4*o**3/3 + 4*o + 3. Solve i(c) = 0.
-1, 1
Factor -3*c - c + 10 + 7*c - 5*c**2 + 2*c.
-5*(c - 2)*(c + 1)
Let j(r) = -3*r**2 - 18*r - 24. Let a(n) = -3*n**2 - 18*n - 24. Let b(c) = 2*a(c) - 3*j(c). Factor b(y).
3*(y + 2)*(y + 4)
Let h be (-32)/(-14) + (-4)/14. Let q = -37/28 + 11/7. Factor -q*n**h + n**3 + 1/4 - n.
(n - 1)*(n + 1)*(4*n - 1)/4
Let f(h) be the third derivative of h**6/30 - h**5/15 - 5*h**4/6 - 2*h**3 - 12*h**2. Factor f(z).
4*(z - 3)*(z + 1)**2
Let q be 17/20 + (-150)/250. Factor 0 + 1/4*a**2 + q*a.
a*(a + 1)/4
Let u = 7 + -5. Solve -12 + 14*h**3 - 11*h**3 + 7*h**2 + u*h**2 = 0 for h.
-2, 1
Solve -132/5*h**3 + 16/5 + 0*h - 68/5*h**4 - 12/5*h**5 - 92/5*h**2 = 0.
-2, -1, 1/3
Let b(t) = -15*t**4 - 5*t**3 + 10*t**2 + 15*t - 5. Let k(f) = 23*f**4 + 7*f**3 - 15*f**2 - 23*f + 8. Let d(w) = -8*b(w) - 5*k(w). Factor d(r).
5*r*(r - 1)*(r + 1)**2
Let q be (((-44)/8)/11)/(3/(-12)). Factor 1/2*o**3 - 2 + 4*o - 5/2*o**q.
(o - 2)**2*(o - 1)/2
Let g(o) be the third derivative of -o**5/390 + o**4/26 - 3*o**3/13 + 9*o**2. Factor g(f).
-2*(f - 3)**2/13
Let j be (-1)/((-2)/18*3). Factor 3/2*o + 0 + 15/2*o**2 + 6*o**j.
3*o*(o + 1)*(4*o + 1)/2
Let c be 1*2*2/12. Factor -c + 1/3*s**2 + 1/3*s**3 - 1/3*s.
(s - 1)*(s + 1)**2/3
Let j be (3/15*-4)/(4/(-10)). Factor 4/5*m**j - 2/5*m + 0 - 2/5*m**3.
-2*m*(m - 1)**2/5
Determine p so that 11*p**2 - 11*p**2 + 4*p**4 - 8*p**3 = 0.
0, 2
Let f(a) be the first derivative of a**5/140 - 2*a**3/7 - a**2 - 9. Let k(x) be the second derivative of f(x). Factor k(i).
3*(i - 2)*(i + 2)/7
Let q(u) = -u**3 + u - 1. Let z(x) = -2*x**3 + 3*x**2 - x - 1. Let r(g) = -4*q(g) + 4*z(g). Solve r(j) = 0 for j.
0, 1, 2
Solve 1/5*k**2 + 0 + 1/5*k = 0.
-1, 0
Factor 5*m**2 - 18*m**4 + 5*m**3 + 3*m**4 - 5*m + 10*m**4.
-5*m*(m - 1)**2*(m + 1)
Factor 4 + 34/3*t + 10/3*t**2.
2*(t + 3)*(5*t + 2)/3
Factor 0 + 0*z**2 + 2/17*z**3 - 2/17*z**4 + 0*z.
-2*z**3*(z - 1)/17
Suppose -2*w - 10 = -4. Let m = w + 5. Factor 0*j**2 - m*j**3 - 2*j**2 + 2*j + 2 + 0.
-2*(j - 1)*(j + 1)**2
Suppose -2*c + 4*l - 28 = -6*c, -4*l = -2*c - 16. Factor -1/2*g**2 + 0*g + c.
-(g - 2)*(g + 2)/2
Let l(d) = -2 - 3 + 2 - d - 2*d. Let k be l(-2). Let 2/3*h**k - 2/3*h - 2/3 + 2/3*h**2 = 0. What is h?
-1, 1
Suppose h - 47 = -44. Let p(o) be the second derivative of -1/2*o**5 + 0 - 4*o**2 + 8/3*o**h - 1/6*o**4 + 1/21*o**7 + 1/15*o**6 + 3*o. What is n in p(n) = 0?
-2, 1
Let l(o) be the third derivative of -1/35*o**5 + 1/105*o**6 + 0*o - 1/735*o**7 + 1/21*o**4 - 1/21*o**3 + o**2 + 0. Let l(s) = 0. What is s?
1
Let b(u) = -u**2 + 6*u - 4. Let p be b(4). Suppose -5 - 1 = -3*h. Solve 2*c**h - c**4 - 2*c - c**p + 2*c**3 + 0*c = 0 for c.
-1, 0, 1
Let n be 9/(-2)*6/(-9). Let m be n - (-2 - 2/(-2)). Let 4*s**3 - 3*s**2 + s**m - 7*s**3 + 2*s**4 + 3*s = 0. What is s?
-1, 0, 1
Let y(n) be the third derivative of -n**10/226800 + n**9/90720 + n**8/15120 + n**5/30 - n**2. Let a(d) be the third derivative of y(d). Factor a(l).
-2*l**2*(l - 2)*(l + 1)/3
Let o be 0/1 + -8 + -2. Let d = o + 31/3. Factor 2/3 - 2/3*i**2 - d*i**3 + 1/3*i.
-(i - 1)*(i + 1)*(i + 2)/3
Let b(d) be the first derivative of 5/2*d**4 + 0*d + 8/5*d**5 + 4/3*d**3 + 5 + 1/3*d**6 + 0*d**2. Factor b(l).
2*l**2*(l + 1)**2*(l + 2)
What is o in -2/3*o**5 + 0*o**3 + 0 + 0*o**2 + 0*o - 2/3*o**4 = 0?
-1, 0
Let f(s) be the second derivative of s + 0*s**3 + 0*s**2 + 1/70*s**5 + 0*s**4 + 0. Factor f(k).
2*k**3/7
Let n = 208 - 206. Factor -2/5*r + 0 - 2/5*r**n.
-2*r*(r + 1)/5
Suppose -8/3 + 4*w - 4/3*w**2 = 0. Calculate w.
1, 2
Factor 0 + 0*s**2 - 1/4*s**5 - 1/2*s**4 + 0*s - 1/4*s**3.
-s**3*(s + 1)**2/4
Let z(c) be the third derivative of -c**5/120 + c**4/48 + 5*c**2. Factor z(v).
-v*(v - 1)/2
Let s(f) be the first derivative of -7*f**6/60 + f**5/15 + 7*f**4/12 - 2*f**3/3 + 2*f**2 + 3. Let r(g) be the second derivative of s(g). Factor r(j).
-2*(j - 1)*(j + 1)*(7*j - 2)
Let s be (-101)/(-780) + (-6)/(-39). Let c = s + -1/30. Determine h, given that 1/2*h**3 - 1/4*h**5 + c*h**4 - 1/2*h**2 + 1/4 - 1/4*h = 0.
-1, 1
Let x = 4 + -4. Suppose x = -4*n - 0*n + 12. Let j(o) = o**2 - 5*o. Let v(s) = 4*