 + n**9/1680 - n**8/1120 + n**7/2520 - n**4/6 - 2*n**2. Let q(g) be the second derivative of m(g). Factor q(u).
-u**2*(u - 1)**2*(4*u - 1)
Let f(r) = 3*r**3 + 5*r**2 + 5*r - 1. Let y(i) = -8*i**3 - 14*i**2 - 15*i + 2. Let s = 31 + -20. Let a(c) = s*f(c) + 4*y(c). Factor a(l).
(l - 3)*(l + 1)**2
Let c(d) be the third derivative of 2*d**7/105 - d**6/6 + 2*d**5/5 + 2*d**4/3 - 16*d**3/3 - d**2. Let c(b) = 0. What is b?
-1, 2
Let a = -1527/5 + 306. Factor -a*n**3 + 0 + 1/5*n**4 - 1/5*n + 3/5*n**2.
n*(n - 1)**3/5
Let z(w) be the second derivative of -1/48*w**4 - 1/24*w**3 - 1/240*w**5 - 1/2*w**2 - 2*w + 0. Let u(c) be the first derivative of z(c). Factor u(i).
-(i + 1)**2/4
Factor 3/5*f**3 + 0*f - 6/5*f**2 + 3/5*f**4 + 0.
3*f**2*(f - 1)*(f + 2)/5
Let m(j) be the first derivative of -2*j**3/27 - 2*j**2/9 + 15. Find b, given that m(b) = 0.
-2, 0
Suppose 15 = 7*g - 4*g. Let d(r) be the third derivative of -r**2 + 1/180*r**g + 1/18*r**4 + 0 + 2/9*r**3 + 0*r. Factor d(p).
(p + 2)**2/3
Factor 6*c - 14*c**2 + 0*c - 2*c**3 + 4 - 4*c**3 + 10*c**4.
2*(c - 1)**2*(c + 1)*(5*c + 2)
Let 1/2*f**2 - 3/2*f + 0 = 0. What is f?
0, 3
Let b(p) = 7*p**4 - 68*p**3 + 75*p**2 - 22*p - 8. Let c(u) = 5*u**4 - 45*u**3 + 50*u**2 - 15*u - 5. Let s(v) = 5*b(v) - 8*c(v). Factor s(h).
-5*h*(h - 2)*(h - 1)**2
Let b(u) be the second derivative of -1/24*u**3 + 1/40*u**5 + 0 - 1/168*u**7 - 1/24*u**4 + 1/120*u**6 - u + 1/8*u**2. Factor b(g).
-(g - 1)**3*(g + 1)**2/4
Let k(x) be the second derivative of 0*x**2 + 1/6*x**3 + 1/4*x**4 + 0 - 1/5*x**5 + 3*x. Solve k(i) = 0 for i.
-1/4, 0, 1
Suppose -x = -5*x + 16. Let v(h) be the second derivative of -1/3*h**3 + 1/20*h**5 + 1/12*h**x - 2*h + 0*h**2 + 0. Let v(w) = 0. Calculate w.
-2, 0, 1
Let a(o) be the second derivative of -o**6/105 - o**5/10 - 5*o**4/14 - 3*o**3/7 - 14*o. Factor a(k).
-2*k*(k + 1)*(k + 3)**2/7
Determine k, given that 1/3 + 1/3*k**3 + k**2 + k = 0.
-1
Suppose 28*h - 34*h = -12. Let 0*b**h + 0 + 1/6*b**3 + 1/6*b**5 + 0*b - 1/3*b**4 = 0. What is b?
0, 1
Find r, given that 0 + 6/11*r**3 + 6/11*r**2 + 2/11*r + 2/11*r**4 = 0.
-1, 0
Let r(y) be the second derivative of -y**6/480 + y**5/240 + y**4/96 - y**3/24 - y**2/2 + 2*y. Let a(c) be the first derivative of r(c). Factor a(w).
-(w - 1)**2*(w + 1)/4
Let c(v) = v**3 - v - 1. Let a(q) = -7*q**3 + q**2 + 14*q - 6. Let b(f) = -a(f) - 6*c(f). Determine z so that b(z) = 0.
-3, 2
Let c(j) be the second derivative of j**4/20 + j**3/2 + 6*j**2/5 - 4*j. Let c(n) = 0. What is n?
-4, -1
Factor 1/7*w**3 + 0 + 9/7*w + 6/7*w**2.
w*(w + 3)**2/7
Let i(c) = c**2 + 8*c + 8. Let o be i(-8). Let x = -5 + o. Factor 2*p**x - 2*p**2 + 0*p**5 + p**4 - p**3 - p**5 + p**2.
-p**2*(p - 1)**2*(p + 1)
Let r(l) be the third derivative of -3*l**5/4 + 35*l**4/4 - 245*l**3/6 + 3*l**2. Factor r(b).
-5*(3*b - 7)**2
Let l(g) = g**4 - g**3 + 2*g**2 - 2*g - 3. Let m(z) = -4*z**4 + 4*z**3 - 6*z**2 + 6*z + 10. Suppose 3*j - 15 = 8*j. Let q(v) = j*m(v) - 10*l(v). Factor q(f).
2*f*(f - 1)**2*(f + 1)
Factor -1/4 - 3/4*u**3 + 3/4*u - 1/4*u**2 + 1/2*u**4.
(u - 1)**2*(u + 1)*(2*u - 1)/4
Suppose -3*h = -3*g + 4*g - 9, -3 = -5*g - h. Let r be (5 + -1)*(g + 1). Factor 0*l**2 - 6/5*l**r + 0 + 0*l**3 - 9/5*l**5 + 0*l.
-3*l**4*(3*l + 2)/5
Suppose -4*t = -3*d - 20, 2 = -2*t + d + 10. Determine x so that 1 + 2 + 0 - 7*x + 9*x**t - 5 = 0.
-2/9, 1
Let d(o) be the third derivative of -1331/240*o**6 - 121/20*o**5 - 2/3*o**3 + 3*o**2 + 0*o + 0 - 11/4*o**4. Find y such that d(y) = 0.
-2/11
Factor 13*v + 15*v**2 - 3*v**3 + 21 - 9 - 37*v.
-3*(v - 2)**2*(v - 1)
Let b(l) be the first derivative of -l**7/1680 + l**6/720 - l**3/3 + 1. Let q(m) be the third derivative of b(m). Factor q(h).
-h**2*(h - 1)/2
Suppose -4*m - 36 = -13*m. Let w(g) be the first derivative of 0*g + 3 + 0*g**3 + 1/14*g**m + 0*g**2. Factor w(x).
2*x**3/7
Suppose 2*k - 3*k = -5. Let v(p) be the third derivative of -1/60*p**k + 0 + 0*p + 0*p**3 + 1/24*p**4 - 2*p**2. Factor v(i).
-i*(i - 1)
Let v(a) be the second derivative of 5*a**7/21 - 6*a**6/5 + 11*a**5/5 - 4*a**4/3 - a**3 + 2*a**2 + 15*a. Find j, given that v(j) = 0.
-2/5, 1
Let z(g) = 3*g - 3. Let j be z(2). Factor 4*i**2 + i**j + 2*i**3 - i**2 + 3*i + 3*i**2.
3*i*(i + 1)**2
Let l be (-2)/(-4)*(-18)/(-3). Factor l*h**2 - h**2 - 3*h**2 + h.
-h*(h - 1)
Let f(u) be the first derivative of -u**4/8 + u**3/6 + 2. Factor f(h).
-h**2*(h - 1)/2
Factor f**3 + 2/3*f**2 + 0*f**4 + 0 - 1/3*f**5 + 0*f.
-f**2*(f - 2)*(f + 1)**2/3
Let o(x) = x**3 + x - 2. Let z(p) = 5*p**3 - 6*p**2 - 9*p + 10. Let j(m) = 3*o(m) - z(m). Find y such that j(y) = 0.
-2, 1, 4
Let a(n) be the first derivative of -1 + 0*n**3 - 1/6*n**4 + 1/3*n**2 + 0*n. Factor a(q).
-2*q*(q - 1)*(q + 1)/3
Factor -1/7*f**2 + 0*f + 1/7.
-(f - 1)*(f + 1)/7
Let j(a) be the first derivative of a**3/12 - a**2/8 - a/2 + 24. Determine z, given that j(z) = 0.
-1, 2
Suppose 3*m - 8*m = 55. Let c = -6 - m. Factor 0 + 0*u - 2/3*u**4 + 0*u**2 + 0*u**3 - 2/3*u**c.
-2*u**4*(u + 1)/3
Let w(n) be the third derivative of -n**5/6 + 17*n**4/12 - 2*n**3 - n**2. Factor w(z).
-2*(z - 3)*(5*z - 2)
Let q(l) be the third derivative of l**8/6720 - l**7/3360 - l**6/1440 + l**5/480 - l**3/2 - 3*l**2. Let p(c) be the first derivative of q(c). Solve p(r) = 0.
-1, 0, 1
Let q(k) be the second derivative of k**4/3 + 4*k**3 + 10*k**2 + 44*k. Solve q(z) = 0.
-5, -1
Let m(f) be the third derivative of -f**6/360 + f**5/180 + 5*f**4/72 + f**3/6 - 18*f**2. Determine p so that m(p) = 0.
-1, 3
Let n = 21 + -21. Let l(h) be the second derivative of 0 + 2*h + n*h**2 - 1/30*h**4 - 1/15*h**3. Determine t so that l(t) = 0.
-1, 0
Let k(h) = -h - 1. Let r(n) = n**4 - 2*n**3 - 3. Let i(q) = -2*k(q) + r(q). Solve i(y) = 0.
-1, 1
Let k(d) be the first derivative of -d**3/4 - 3*d**2/8 + 3*d/2 - 6. Factor k(s).
-3*(s - 1)*(s + 2)/4
Let r(w) = -1. Let b(x) = -x + 1. Let y(l) = -b(l) - r(l). Let d(n) = -n**2 - 4*n + 2. Let t(m) = -d(m) - 5*y(m). Factor t(o).
(o - 2)*(o + 1)
Let z be -1*3*(-1)/15. Let a(d) be the third derivative of -1/70*d**7 + 0*d**3 - z*d**5 + 1/10*d**6 - d**2 + 0 + 0*d**4 + 0*d. Solve a(v) = 0.
0, 2
Let c = -3255/664 - 60/83. Let f = -119/24 - c. Find m, given that 0*m + f*m**4 + 0*m**2 + 0*m**3 + 0 = 0.
0
Let w be (-1)/(6/4 - 2). Factor -3*n - 8*n + 3*n**2 + 6 + w*n.
3*(n - 2)*(n - 1)
Suppose 4 = -o - 3*o. Let q = 1 - o. Find d, given that 3*d**3 + 3*d**4 - d + d**q - 2*d**2 - 2*d - 4*d**4 + 2 = 0.
-1, 1, 2
Suppose -r - 5*c - 1 = 2, -r = 3*c + 1. Suppose -r*v + 4*v = 0. Factor m**4 + 4*m - 2*m**3 + 6*m**2 + v*m**4 + 2*m**2 + 7*m**3.
m*(m + 1)*(m + 2)**2
Let f = 191/6 + -82/3. Factor 3*d - 1/2*d**2 - f.
-(d - 3)**2/2
Let x be ((-6)/18)/(0 + -1). Let a(d) be the second derivative of 1/24*d**4 + x*d**3 + d + d**2 + 0. Factor a(o).
(o + 2)**2/2
Let u(q) = 3*q**2 - 10*q - 5. Let g = 12 - 9. Let r(i) = -2*i**2 + 9*i + 6. Let x(j) = g*u(j) + 4*r(j). Factor x(k).
(k + 3)**2
Suppose 0 = -9*h - 0*h. Find q such that 0*q**2 + 2/5*q**5 + 0*q**4 + h + 0*q + 0*q**3 = 0.
0
Let r be 0/((2 + 4)/(-2)). Suppose r = -3*z - 2*z. Factor 1/4*a**2 + z*a - 1/4.
(a - 1)*(a + 1)/4
Let o(y) = y**3 + 5*y**2 + 2*y - 5. Let j be o(-4). Factor c**3 + 3 - 2*c**j - 1 + 4*c**2 - 5*c.
-(c - 2)*(c - 1)**2
Let s = 6 - 2. Let l(y) = y**4 + 4*y**2 + 2*y - 3. Let c(z) = -6*z**4 - 21*z**2 - 11*z + 16. Let r(w) = s*c(w) + 22*l(w). Factor r(m).
-2*(m - 1)**2*(m + 1)**2
Factor -2*y**2 + 4 + 0*y**3 + 1/4*y**4 + 0*y.
(y - 2)**2*(y + 2)**2/4
Let k(w) be the third derivative of w**6/150 + w**5/25 - 8*w**3/15 - 43*w**2. Solve k(n) = 0.
-2, 1
Let v(k) be the third derivative of 0*k - 8/15*k**5 + 0*k**3 + 2/3*k**4 + 1/10*k**6 + k**2 + 0. Factor v(o).
4*o*(o - 2)*(3*o - 2)
Let q(m) be the second derivative of -2/27*m**3 + 1/54*m**4 + 0 + 3*m + 0*m**2. Factor q(c).
2*c*(c - 2)/9
Let o(j) be the second derivative of -j**7/56 - j**6/20 - 3*j**5/80 + 10*j. Factor o(g).
-3*g**3*(g + 1)**2/4
Let a(c) = 2*c**2 - 8*c + 3. Let j be a(4). Let o(t) be the third derivative of 1/6*t**j - 1/6*t**4 + t**2 + 0*t + 0 + 7/240*t**5. Solve o(d) = 0 for d.
2/7, 2
Let l = 13 - 2. Let x(v) = v - 9. Let q be x(l). Factor 0*n**q - 2/5*n**4 + 0*n + 0 + 2/5*n**3.
-2*n**3*(n - 1)/5
Suppose 0 = -2*d - 2 - 0. Let y be 4*((-1)/2)/d. Factor -2 - 2*j**2 + y*j**2 - 4*j**3 + 4*j**4 + 0*j**2 +