+ y**4/8 + y**3 - 5*y**2/2 - 5. Let j(m) be the second derivative of r(m). Factor j(o).
-3*(o - 2)*(o + 1)
Let z(f) be the first derivative of f**5/10 + f**4/8 - 2*f**3 - 7*f**2 - 8*f - 38. Factor z(g).
(g - 4)*(g + 1)*(g + 2)**2/2
Let z = 3/260 - -1/26. Let y(w) be the third derivative of 5/24*w**4 - 2*w**2 + 0*w - z*w**5 + 0 - 1/3*w**3. Factor y(r).
-(r - 1)*(3*r - 2)
Solve 21 - r**3 - 2 - 9*r**2 - 7 - 2*r**3 = 0 for r.
-2, 1
Factor 2/7*j**2 + 2/7*j**3 - 2/7*j - 2/7.
2*(j - 1)*(j + 1)**2/7
Let n(w) be the third derivative of 1/6*w**3 - 2*w**2 + 1/240*w**6 + 0 + 0*w - 1/60*w**5 - 1/48*w**4. Suppose n(x) = 0. What is x?
-1, 1, 2
Let v(p) = 4 + 4 + 0 + p. Let k be v(-8). Factor -2/3*u**2 + k*u + 0.
-2*u**2/3
Let h(s) = s + 5. Let o be h(-3). Factor 3*p**2 - 2 - 3*p + 4 - o.
3*p*(p - 1)
Let q(v) be the first derivative of -3*v**3 - 24*v**2 - 15*v + 8. Factor q(a).
-3*(a + 5)*(3*a + 1)
Let l = 47 + -34. Find n, given that 3*n + n**3 + 2*n**2 - 15 + l - 4*n = 0.
-2, -1, 1
Determine f, given that f + 3*f**2 - 7*f + 3*f**4 + 6*f + 6*f**3 = 0.
-1, 0
Let k(v) be the third derivative of v**5/420 - v**4/168 + 2*v**2. Find i, given that k(i) = 0.
0, 1
Let f(h) be the third derivative of 0*h**3 + 0*h - 1/780*h**6 - 1/390*h**5 - h**2 + 0*h**4 + 0. Suppose f(u) = 0. What is u?
-1, 0
Let l(p) be the second derivative of -p**5/10 + p**4/6 + 2*p**3/3 - 4*p. Factor l(q).
-2*q*(q - 2)*(q + 1)
Determine x so that 9/2*x**2 - 6 - 6*x = 0.
-2/3, 2
Let h(j) be the second derivative of 7*j**6/6 + 32*j**5/15 - 5*j**4/6 - 4*j**3/3 - 5*j**2/2 + 4*j. Let t(v) be the first derivative of h(v). Factor t(l).
4*(l + 1)*(5*l + 1)*(7*l - 2)
Let g(z) be the first derivative of -5*z**6/6 - 6*z**5 - 55*z**4/4 - 10*z**3/3 + 30*z**2 + 40*z + 21. Find x such that g(x) = 0.
-2, -1, 1
Let t = 16 - 12. Factor -h**t + 2*h**2 + 2*h**4 + 2*h**3 - 3*h**4 - 2*h**5.
-2*h**2*(h - 1)*(h + 1)**2
Let g = -543/10 - -109/2. Factor g*p**4 - 1/5*p**2 + 0 + 2/5*p**3 - 2/5*p.
p*(p - 1)*(p + 1)*(p + 2)/5
Let c = 835441/240 + -3481. Let p(n) be the third derivative of c*n**5 + 0 + 0*n - 1/96*n**4 + 3*n**2 + 1/480*n**6 - 1/24*n**3. Find w such that p(w) = 0.
-1, 1
Suppose -5*y - 7 = -t, -4*y + 0*t - 6 = -t. Let q be (-4)/5 - y/1. Let -q + 3/5*z + 4/5*z**2 = 0. Calculate z.
-1, 1/4
Suppose -o - 6 + 8 = 0. Find s such that -o + 3*s + 6 + 2 - 3*s**2 = 0.
-1, 2
Suppose -21 = 3*d - 27. Let -1/6*t**d + 0 + 0*t = 0. What is t?
0
Let w(v) be the third derivative of 1/90*v**7 + 0*v**4 + 0*v + 0*v**3 + 1/90*v**5 - v**2 + 0 + 1/40*v**6. Factor w(s).
s**2*(s + 1)*(7*s + 2)/3
Let k(v) be the first derivative of v**3/12 - 5*v**2/8 + v - 15. Determine r so that k(r) = 0.
1, 4
Let h(g) = -g - 9. Let w be h(-9). Suppose -4*p + 15 = -z, w = 3*p + 5*z - 15 - 2. Factor -2*d**4 - 3*d + p*d**3 + 2 - d + 0*d + 0*d**4.
-2*(d - 1)**3*(d + 1)
Factor 1/5*c**2 + 7/5 + 8/5*c.
(c + 1)*(c + 7)/5
Factor 0*z + 4/23*z**2 + 0 + 8/23*z**4 + 2/23*z**5 + 10/23*z**3.
2*z**2*(z + 1)**2*(z + 2)/23
Suppose -3*k - 2*k + 10 = 0. Find i such that 2*i - i + 6*i**3 - 3*i - 2 + 2*i**k - 4*i = 0.
-1, -1/3, 1
What is q in -5/8*q**2 - 27/8*q - 5/4 = 0?
-5, -2/5
Suppose -3*q + 6*q + 1 = -5*u, 2*q = 4*u - 8. Let c = q - -4. Factor 12*m**3 + 3 + m**c + 2*m - 14*m + 0 - 4*m**2.
3*(m - 1)*(m + 1)*(4*m - 1)
Let t(w) = -13*w + 2. Let k be t(-1). Let n be 26/10 + 6/k. Determine y, given that -1/4*y - 1/4*y**4 + 1/4*y**n + 1/4*y**2 + 0 = 0.
-1, 0, 1
Suppose -20 = -8*m + 3*m. Determine g, given that 4*g**2 + 2*g**m - 3*g**2 - 2*g**2 - g**4 = 0.
-1, 0, 1
Let k(h) be the third derivative of h**7/2520 - h**6/120 + 3*h**5/40 + h**4/6 + 5*h**2. Let p(r) be the second derivative of k(r). Factor p(w).
(w - 3)**2
Let p(l) be the first derivative of 2*l**5/5 - 4*l**4 + 16*l**3 - 32*l**2 + 32*l + 3. Factor p(g).
2*(g - 2)**4
Let p = 42537213/1552 - 27408. Let z = 288693/10864 + p. Let -80/7*n**4 - 72/7*n + 16/7 + z*n**3 + 4*n**2 - 150/7*n**5 = 0. What is n?
-1, 2/5, 2/3
Let f(a) be the second derivative of -3*a**5/20 + a**4/2 - 4*a. Solve f(g) = 0 for g.
0, 2
Suppose -3*a + 6 = -0. Find s, given that 0*s**2 - 5*s**3 - s**2 - s**4 + 2*s**a + 4*s**3 + s**5 = 0.
-1, 0, 1
Let x be 2*((-286)/(-72) + 4/(-18)). Factor x*t**3 - 7/2*t**2 - 13/2*t**4 + 1/2*t + 0 + 2*t**5.
t*(t - 1)**3*(4*t - 1)/2
Let n(t) be the first derivative of -t - 2 + 1/30*t**5 + 1/3*t**2 + 1/3*t**3 + 1/6*t**4. Let c(m) be the first derivative of n(m). Factor c(a).
2*(a + 1)**3/3
Let x(o) = o**2 - 6 + 6*o**3 + 5*o + 3 - 2*o - 9*o**4 - o**5. Let s(b) = -8*b**4 + 6*b**3 + 2*b - 2. Let y(i) = -3*s(i) + 2*x(i). Factor y(z).
-2*z**2*(z - 1)**3
Suppose 5*d = 4 + 31. Let y(a) be the second derivative of 1/12*a**3 - a + 0 + 1/84*a**d - 1/20*a**5 - 1/12*a**4 + 1/60*a**6 + 1/4*a**2. Factor y(j).
(j - 1)**2*(j + 1)**3/2
Let 12*u**2 + 1/12 - 2*u = 0. Calculate u.
1/12
Find x, given that -1 + x + x**5 + 2*x**2 - x**5 - 4*x**3 + x**5 + 2*x**3 - x**4 = 0.
-1, 1
Let b(o) be the first derivative of 1 - 2/3*o - 2/27*o**3 + 4/9*o**2. Factor b(q).
-2*(q - 3)*(q - 1)/9
Let t(o) be the second derivative of -o**7/30 + o**6/60 + 7*o**5/60 - o**4/12 - o**2 - 3*o. Let m(v) be the first derivative of t(v). Find y such that m(y) = 0.
-1, 0, 2/7, 1
Let f be (-5)/2*390/(-325). Let 1/8*g**5 + 1/4*g**2 + 0 - 1/8*g + 0*g**f - 1/4*g**4 = 0. What is g?
-1, 0, 1
Let i(d) be the first derivative of 2*d + 1/6*d**3 - 7 - d**2. Determine s, given that i(s) = 0.
2
Let i(l) be the third derivative of -l**8/30240 - l**7/11340 + l**6/3240 + l**5/540 + l**4/24 - 4*l**2. Let w(h) be the second derivative of i(h). Factor w(b).
-2*(b - 1)*(b + 1)**2/9
Factor 6*n**3 + 52*n**2 + 12*n**3 + 26*n**3 + 8*n**4 + 16*n.
4*n*(n + 1)*(n + 4)*(2*n + 1)
Let q be -4 + 0 + 18/4. Solve 1/2*i**2 + 1/2*i - q*i**3 - 1/2 = 0 for i.
-1, 1
Let l(p) = -20*p**2 - 240*p + 230. Let a(w) = 3*w**2 + 34*w - 33. Let m(t) = 15*a(t) + 2*l(t). Solve m(x) = 0 for x.
-7, 1
Let t(b) = 3*b**2 + 6*b. Let x(u) = -u**3 - 4*u**2 - 7*u. Suppose -3*r - 4*n - 12 = 0, -r - 2*r + 4*n - 12 = 0. Let i(l) = r*t(l) - 3*x(l). Factor i(f).
3*f*(f - 1)*(f + 1)
Let i(q) be the third derivative of -q**5/135 - q**4/18 - 4*q**3/27 - 4*q**2. Find j, given that i(j) = 0.
-2, -1
Let j be 5*((-6)/5)/1. Let g(d) = -d**3 - 3*d**3 - d**2 + 1 + 0*d + 3*d - 2*d. Let k(v) = -3*v**3 - v**2 + v + 1. Let o(w) = j*k(w) + 4*g(w). Factor o(z).
2*(z - 1)*(z + 1)**2
Suppose -4*p - 2*v + 3 = 7, 0 = -4*p - v - 2. Let b(n) be the first derivative of 1/16*n**4 + 2 + p*n - 1/6*n**3 + 1/8*n**2. Factor b(d).
d*(d - 1)**2/4
Let g(s) = -10*s**3 + 100*s**2 + 100*s - 55. Let m(f) = f**3 - 9*f**2 - 9*f + 5. Let t(i) = 4*g(i) + 45*m(i). Factor t(p).
5*(p - 1)**2*(p + 1)
Suppose 0 = 5*b - b + v - 11, 5*v = -2*b - 17. Let r be (3/b)/(-4 - -7). Factor -1/4 + r*w**2 - 1/4*w**3 + 1/4*w.
-(w - 1)**2*(w + 1)/4
Let n(x) = 6*x**3 - 8*x**2 + 7*x + 5. Let v(b) = -2*b**2 - 7*b - 6. Let t be v(-4). Let u(l) = l**3 - l**2 + l + 1. Let d(m) = t*u(m) + 2*n(m). Factor d(q).
2*q*(q - 2)*(q - 1)
Factor -2/7 - 6/7*f + 2/7*f**2 + 6/7*f**3.
2*(f - 1)*(f + 1)*(3*f + 1)/7
Let b(i) = 2*i + 12. Let o be b(-8). Let s be (o/(-14))/((-5)/(-35)). Factor -2*n**4 - 15*n**3 - 4*n**s - n**3 - 5*n**4.
-n**2*(n + 2)*(7*n + 2)
Let n(o) be the third derivative of -o**6/780 - o**5/130 - o**4/78 + 26*o**2. Solve n(y) = 0 for y.
-2, -1, 0
Let w(g) be the first derivative of 16/9*g**3 + 0*g + 1/9*g**6 + 0*g**2 + 4/5*g**5 + 3 + 2*g**4. Solve w(f) = 0.
-2, 0
Let a = 209/450 - 4/9. Let d(u) be the second derivative of a*u**5 + 0*u**3 + u + 0 + 0*u**2 + 1/30*u**4. Let d(j) = 0. What is j?
-1, 0
Let u(k) = k**5 + k**4 - k**3 - k**2 + k - 1. Let n(t) = -10*t**5 - 10*t**4 + 20*t**3 + 10*t**2 - 15*t + 5. Let m(x) = -n(x) - 5*u(x). Let m(v) = 0. What is v?
-2, -1, 0, 1
Let u(q) = 3*q**2 + 6*q. Let p(t) = -t. Let w(s) = 12*p(s) + u(s). Factor w(n).
3*n*(n - 2)
Determine g, given that -19*g + 0*g**2 - g**2 + 16 + 3*g + 5*g**2 = 0.
2
Let q(r) = r**2 - 7*r - 4. Let v(b) = 3*b**2 - 15*b - 9. Let n(g) = -9*q(g) + 4*v(g). Find k, given that n(k) = 0.
-1, 0
Factor -4*q - q + 3*q + q**2.
q*(q - 2)
Let l(y) be the third derivative of -1/6*y**3 - 3*y**2 - 1/10*y**5 + 0*y + 4/105*y**7 - 1/30*y**6 + 5/24*y**4 + 0. Solve l(o) = 0.
-1, 1/2
Factor -1/2*b**2 + 1/2 + 0*b.
-(b - 1)*(b + 1)/2
Let n(l) be the fi