/2 - 90*u**3 - 108*u**2 + 38*u. Factor i(f).
-(5*f + 6)**3
Let p(x) be the first derivative of -2*x - 1 + 0*x**3 + 1/8*x**4 + 0*x**2. Let n(a) be the first derivative of p(a). Find y such that n(y) = 0.
0
Let f(x) = x**4 - x**3 + x**2 - x. Let h(r) = -3*r**4 + 11*r**3 + 13*r**2 + 21*r + 6. Let l(b) = -12*f(b) - 3*h(b). Solve l(z) = 0.
-3, -2, -1
Let w(l) = -2*l**3 + 2*l**2 - 27*l + 20. Let a(p) = p**3 - p**2 + 26*p - 20. Let v(q) = 7*a(q) + 6*w(q). Factor v(k).
-5*(k - 2)*(k - 1)*(k + 2)
Let d(i) be the first derivative of -i**5/45 + i**4/18 - i**2/9 + i/9 - 5. Solve d(z) = 0 for z.
-1, 1
Let p = 15 + -13. Factor x**2 + 4*x + x**p - 2*x**2 - 2*x**2.
-2*x*(x - 2)
Let l(y) be the third derivative of y**7/420 - y**6/80 - 7*y**5/120 + 5*y**4/16 + 3*y**3/2 - 20*y**2. Factor l(i).
(i - 3)**2*(i + 1)*(i + 2)/2
Let f(v) = -4*v**3 + v**2 - 3*v. Suppose -a + 4*a + 9 = 0. Suppose m + 2 = 2*m. Let b(u) = -3*u**3 + u**2 - 2*u. Let n(j) = a*b(j) + m*f(j). Factor n(w).
w**2*(w - 1)
Let w = -20 + 28. Let h(o) = -9*o**4 + 7*o**3 - 8*o**2. Let q(j) = 14*j**4 - 10*j**3 + 12*j**2. Let c(u) = w*h(u) + 5*q(u). Factor c(t).
-2*t**2*(t - 2)*(t - 1)
Let s(j) = -3*j**3 + 9*j**2. Let k(x) = x**2 + 4*x. Let q be k(-4). Let p(z) = -18*z**2 + 0 + q + 9*z**3 - 4*z**3 - z. Let c(l) = 6*p(l) + 11*s(l). Factor c(m).
-3*m*(m + 1)*(m + 2)
Let v(k) be the third derivative of k**5/20 - k**4/4 - k**3/3 - 7*k**2. Let g(u) = 10*u**2 - 19*u - 7. Let y(r) = -2*g(r) + 7*v(r). Factor y(i).
i*(i - 4)
Let n = -2 + -1. Let j be (-2)/n + (-3)/18. Solve -1/2*r**5 - j*r - r**2 + r**3 + 1/2*r**4 + 1/2 = 0.
-1, 1
Let u(y) = -y**3 - 6*y**2 - 5*y + 5. Let g be u(-5). Suppose -3*v + p = -21, 0 = -4*v - 3*p + 28. Factor -v - g*k + 3 - 8*k**2 - 5*k - 2*k**3.
-2*(k + 1)**2*(k + 2)
Let a = -6/199 - -826/995. Factor -2/5*l + 0 + a*l**2 - 2/5*l**3.
-2*l*(l - 1)**2/5
Let w(j) be the first derivative of 2 - 7/25*j**5 + 0*j + 7/15*j**3 + 1/5*j**2 - 1/10*j**4. Factor w(k).
-k*(k - 1)*(k + 1)*(7*k + 2)/5
Let f be (-3)/(-1 - (-3 - -1)). Let i be ((-12)/25)/(f/20). Let -6/5*g**2 + i*g**3 + 6/5*g**4 - 24/5*g + 8/5 = 0. What is g?
-2, 1/3, 1
Find h, given that 4/7 - 10/7*h**3 + 2/7*h**4 - 2*h + 18/7*h**2 = 0.
1, 2
Let m(y) be the second derivative of y**5/35 + y**4/42 - 4*y**3/21 - 3*y**2/7 + 9*y. Factor m(z).
2*(z + 1)**2*(2*z - 3)/7
Let b be 4/18 + (-1853)/765 + 3. Factor -6/5*z + 0*z**2 + 2/5*z**3 + b.
2*(z - 1)**2*(z + 2)/5
Let r(x) = 2*x**2 + 14*x - 11. Suppose -2*g = -0*g + 10. Let b(l) = l**2 + l - 1. Let z(m) = g*b(m) + r(m). Factor z(y).
-3*(y - 2)*(y - 1)
Let j(v) be the second derivative of -v**5/10 - v**4/6 + v**3/3 + v**2 + 3*v. Find p, given that j(p) = 0.
-1, 1
Let x(p) be the second derivative of -p**6/75 + p**4/15 - p**2/5 + 46*p. Factor x(t).
-2*(t - 1)**2*(t + 1)**2/5
Factor 3/2*z + 9/2*z**2 + 0 + 3*z**3.
3*z*(z + 1)*(2*z + 1)/2
Factor 128*s**2 + 648 - 3*s**4 + 51*s**3 - 398*s**2 + 75*s + 249*s.
-3*(s - 6)**3*(s + 1)
Suppose 0 = -9*d + 4*d + 15. Let i be (10/(-30))/((-2)/12). Factor -2/3 - 2/3*k**d + 2/3*k**i + 2/3*k.
-2*(k - 1)**2*(k + 1)/3
Let t(w) be the first derivative of -2*w**3 - 5/3*w**6 - 2*w**2 + 7/2*w**4 + 6/5*w**5 + 2 + 0*w. Solve t(u) = 0 for u.
-1, -2/5, 0, 1
Let k(n) be the second derivative of n**7/49 + 2*n**6/105 - n**5/70 + 5*n. Solve k(g) = 0 for g.
-1, 0, 1/3
Let x(c) be the second derivative of -3*c**6/20 + 21*c**5/20 - 23*c**4/8 + 4*c**3 - 3*c**2 + c. Determine a so that x(a) = 0.
2/3, 1, 2
Let w = -1/425 + 23/2550. Let l(h) be the second derivative of w*h**6 + 0*h**2 + 0*h**4 - 3*h + 1/100*h**5 + 0*h**3 + 0. Solve l(n) = 0.
-1, 0
Let s be (-2)/(-7) + (-4041)/252. Let w = s + 16. Determine t so that -1/4*t**2 - w + 1/2*t = 0.
1
Let c(b) be the first derivative of -b**5/20 + 5*b**4/12 - 4*b**3/3 + 2*b**2 + 2*b - 4. Let n(z) be the first derivative of c(z). Determine u so that n(u) = 0.
1, 2
Let g(q) = 11 - 40*q - 11*q**4 - 12*q**2 + 52*q**3 - 21*q**4 - 3. Let p(j) = -13*j**4 + 21*j**3 - 5*j**2 - 16*j + 3. Let b(c) = 5*g(c) - 12*p(c). Factor b(a).
-4*(a - 1)**3*(a + 1)
Determine n, given that -2/3*n**3 - 2/3*n**5 + 2*n**2 + 4/3*n + 0 - 2*n**4 = 0.
-2, -1, 0, 1
Let -31*f**4 + 3*f**5 + 19*f**3 + 4*f**2 + 44*f**4 + 7*f**2 + 2*f = 0. Calculate f.
-2, -1, -1/3, 0
Let f(y) = y**2 + 10*y + 5. Let p be f(-10). Let i be 2 - p - (0 - 5). Determine b, given that -i*b**2 + 3*b - 4*b**2 - 4*b + 3*b = 0.
0, 1/3
Let k(p) be the third derivative of -p**7/840 + p**6/80 - 13*p**5/240 + p**4/8 - p**3/6 - 5*p**2. Factor k(q).
-(q - 2)**2*(q - 1)**2/4
Let v = 2 - -3. Suppose 8*j - 4*j = -v*u + 32, 4*j - 16 = -u. Find a, given that -a**2 - j + 4 + 2*a - 2*a = 0.
-1, 1
Let d(n) be the first derivative of -5*n**3/3 - 10*n**2 - 20*n + 2. Factor d(i).
-5*(i + 2)**2
Let a(c) = c - 4. Let x(n) = 2*n - 9. Let y(z) = 7*a(z) - 4*x(z). Let d be y(8). Factor -2/9*u**2 + d + 2/9*u.
-2*u*(u - 1)/9
Let x(n) = 12*n - 20. Let d(f) = -f**2 + 1. Let t(g) = 2*d(g) + x(g). Factor t(j).
-2*(j - 3)**2
Let o be 6/4*(-1)/(-3)*6. Let 1/7*u**5 + 4/7*u**o - 2/7 - 2/7*u**2 + 4/7*u**4 - 5/7*u = 0. Calculate u.
-2, -1, 1
Factor -3*w**4 + 3*w**2 + 12*w**2 + 8*w**3 + 0*w**3 + 2*w + 2*w.
-w*(w - 4)*(w + 1)*(3*w + 1)
Let q be (2 + -7)*6/(-15). Factor -9 - s**2 - 6*s + 8*s**2 - 4*s**q.
3*(s - 3)*(s + 1)
Let d = -50 - -70. Let f be (12/(-30))/((-2)/d). Solve -2*k**2 + f*k**2 + 5*k**3 - 26*k**3 - 8*k**2 = 0.
-2/7, 0
Suppose -2*r + 3*j + 15 = 0, -5*r - 6*j + 18 = -7*j. Let k(q) be the third derivative of 0 - q**2 + 0*q - 1/120*q**5 - 1/12*q**r - 1/24*q**4. Factor k(f).
-(f + 1)**2/2
Let u(q) = -23*q**4 - 45*q**3 - 3*q**2 - 5*q - 5. Let w(a) = a**4 + a**3 - a**2 + a + 1. Let l(r) = -2*u(r) - 10*w(r). Factor l(z).
4*z**2*(z + 2)*(9*z + 2)
Suppose -3*a**3 - 7*a**3 + 336*a**5 - 331*a**5 + 5*a = 0. What is a?
-1, 0, 1
Suppose -y = 5*y - 30. Factor -4*l**4 + 6*l**3 - 4*l**2 - l - 40*l**y + 2*l + 41*l**5.
l*(l - 1)**4
Let d(b) be the second derivative of b**5/140 - b**4/84 - b**3/42 + b**2/14 + 5*b. What is l in d(l) = 0?
-1, 1
Let t(x) be the third derivative of x**5/240 + x**4/48 + x**3/24 + 24*x**2. Determine n, given that t(n) = 0.
-1
Let r be ((-2)/(-4))/((-2)/(-8)). Factor -16 - r*n**2 + 14 + 6 + 2*n.
-2*(n - 2)*(n + 1)
Let q(y) = -3*y**4 + 2*y**2 + 1. Let r(j) = 16*j**4 + j**3 - 11*j**2 - j - 5. Suppose 4*w - 35 = 53. Let f(h) = w*q(h) + 4*r(h). Factor f(p).
-2*(p - 1)**3*(p + 1)
Let y(v) be the second derivative of v**10/7560 - v**8/1680 - v**4/2 + 6*v. Let b(h) be the third derivative of y(h). Factor b(j).
4*j**3*(j - 1)*(j + 1)
Factor 6/7*c**3 + 12/7*c**2 + 60/7 - 78/7*c.
6*(c - 2)*(c - 1)*(c + 5)/7
Let k(b) be the third derivative of 0*b**5 + 1/1176*b**8 + 0*b + b**2 + 0*b**4 + 0 + 1/735*b**7 + 0*b**6 + 0*b**3. Factor k(a).
2*a**4*(a + 1)/7
Let q(m) = -9*m**2 - 2*m - 1. Let l be q(-1). Let i be 3/(2/l*-6). Find z such that -2 + i*z - 1/2*z**2 = 0.
2
Let i(x) be the second derivative of x**6/135 + x**5/15 + 2*x**4/9 + 10*x**3/27 + x**2/3 - 11*x. Suppose i(d) = 0. Calculate d.
-3, -1
Suppose 0 = -2*c + 4 - 0. Factor 3*l - l**3 + 2*l**2 - 2*l**2 + 2*l**c.
-l*(l - 3)*(l + 1)
Let o(v) be the first derivative of -v**4/24 + v**3/6 - v**2/4 - 3*v + 2. Let i(w) be the first derivative of o(w). Factor i(p).
-(p - 1)**2/2
Let k(s) be the third derivative of s**5/15 - 2*s**2. Factor k(y).
4*y**2
Let l(k) be the third derivative of k**10/166320 - k**8/18480 + k**6/3960 + k**4/12 + k**2. Let a(t) be the second derivative of l(t). Factor a(d).
2*d*(d - 1)**2*(d + 1)**2/11
Suppose 4*d + 60 = 5*d. Let g be (-1)/(-3) + (-5)/d. Factor g*p**2 + 1/4 + 1/2*p.
(p + 1)**2/4
Let p(f) be the first derivative of -f**4/6 - 2*f**3/3 + 8*f/3 + 12. Factor p(k).
-2*(k - 1)*(k + 2)**2/3
Let z(c) = -c**2 + 4*c - 3. Let l be z(1). Let i(f) be the second derivative of 0*f**2 + 1/15*f**3 + 1/30*f**4 + 2*f + l. Factor i(t).
2*t*(t + 1)/5
Let f be (20/(-6) - -3)*3. Let y = f - -3. Factor -7*i - 10*i**y - 10*i + 9*i - 8*i - 2*i**3 - 8.
-2*(i + 1)*(i + 2)**2
Suppose -48 = -11*m - 13*m. Factor -5/2*w**m - 3/2*w + 1.
-(w + 1)*(5*w - 2)/2
Let s(k) = k + 9. Let u be s(-7). Let d be 16/42 + 6/21. Suppose 0 + 2/3*h**u - d*h = 0. What is h?
0, 1
Factor 15/4*v + 5/4*v**2 + 0.
5*v*(v + 3)/4
What is s in -8/3*s**2 - 16/9 - 1/9*s**4 + 32/9*s + 8/9*s**3 = 0?
2
Let r(i) = -3*i 