4 - 4*l**3/3 + 6*l**2 + 47. Factor g(h).
4*h*(h - 3)*(h - 1)*(h + 1)
Let j = -1 + 4. Factor 16*n**3 - 15*n + 6*n**2 - 2 + n**j - 2*n**3 - 4.
3*(n - 1)*(n + 1)*(5*n + 2)
Let s(z) be the first derivative of z**5/15 + z**4/12 - z**3/9 - z**2/6 - 9. Let s(n) = 0. Calculate n.
-1, 0, 1
Let u(v) be the third derivative of 0*v + 1/210*v**5 + 1/84*v**4 + 0 + 3*v**2 - 2/21*v**3. Factor u(s).
2*(s - 1)*(s + 2)/7
Let l = 317 - 947/3. Suppose -2*z = -2*j + 8, 4*z - 7 = -4*j - z. Factor l*w**2 - 10/3*w**j - 4/3 + 10/3*w.
-2*(w - 1)*(w + 1)*(5*w - 2)/3
Let l be -3 + (-1 - 2 - -9). Let z(f) = 3*f**3. Let y(t) = t**3. Let p(r) = l*z(r) - 7*y(r). Determine o so that p(o) = 0.
0
Let j be 9/(3 - 0) - 2 - 1. Determine f so that 10/11*f**5 + 0*f - 14/11*f**4 + j + 4/11*f**3 + 0*f**2 = 0.
0, 2/5, 1
Let f be 3/1 + (-2)/(-2). Let z(v) = -16*v + 18. Let j be z(1). Factor 100/3*m**5 + 4/3*m + 20/3*m**f - 13*m**3 + 0 - 4/3*m**j.
m*(2*m + 1)**2*(5*m - 2)**2/3
Let d(y) = 3*y**3 + 18*y**2 + 9*y. Let p(u) = -9*u**3 - 54*u**2 - 28*u. Let j(s) = 17*d(s) + 6*p(s). Factor j(k).
-3*k*(k + 1)*(k + 5)
Let v be (-3)/7 + 314/14. Let x(z) = -z**2 + 23*z - 19. Let j be x(v). Solve -18*d - 6*d**2 - 18 - 2/3*d**j = 0.
-3
Let a be (-65)/234 - ((-3)/(-2) - 2). Factor 0*w + 0 + a*w**2.
2*w**2/9
Let w(q) = -q - 5. Let f be w(-8). Factor -2*r**f + 2*r + 5*r**2 + 5 - 7 - 3*r**2.
-2*(r - 1)**2*(r + 1)
Let p be (-8)/(-6)*(1 + -4). Let a be (24/9)/(p/(-6)). Find y, given that -a*y**2 + 0*y**3 + 3*y**2 + 3*y**4 + 4*y**2 + 6*y**3 = 0.
-1, 0
Let s = -10 + 10. Factor 2/11*p**5 - 4/11*p**3 + 0 + 2/11*p + 0*p**4 + s*p**2.
2*p*(p - 1)**2*(p + 1)**2/11
Let w(q) be the first derivative of q**7/21 - 2*q**6/15 - q**5/10 + q**4/3 - 8*q + 8. Let h(y) be the first derivative of w(y). Factor h(o).
2*o**2*(o - 2)*(o - 1)*(o + 1)
Factor -8/9*h**2 + 2/9*h**5 + 4/9*h**4 + 0 + 8/9*h - 2/3*h**3.
2*h*(h - 1)**2*(h + 2)**2/9
Let n(z) be the second derivative of z**10/7560 - z**9/3780 - z**8/1680 + z**7/630 - 5*z**4/12 + 2*z. Let r(j) be the third derivative of n(j). Factor r(u).
4*u**2*(u - 1)**2*(u + 1)
Factor 22/13*y**2 + 4/13*y**3 - 10/13 + 8/13*y.
2*(y + 1)*(y + 5)*(2*y - 1)/13
Suppose 4*s = -5 + 1. Let k be 3/6*s*0. Solve 3/2*l**2 + 1/2*l**4 + k + 1/2*l + 3/2*l**3 = 0 for l.
-1, 0
Let w(h) be the second derivative of h**7/210 - h**6/120 - h**5/60 + h**4/24 - h**2 - 3*h. Let s(a) be the first derivative of w(a). Factor s(r).
r*(r - 1)**2*(r + 1)
Let r(q) be the third derivative of -1/72*q**4 - 1/180*q**5 + 0*q**3 - 2*q**2 + 0 + 0*q. Determine z so that r(z) = 0.
-1, 0
Find f such that 7/3*f - 2/3*f**2 - 2/3 - f**3 = 0.
-2, 1/3, 1
Let m(t) be the second derivative of -t**6/30 - t**5/20 + t**4/12 + t**3/6 - 7*t. Factor m(a).
-a*(a - 1)*(a + 1)**2
Suppose 0*z = 3*b + 4*z - 12, -3*b - 3*z + 9 = 0. Let -2/3*c**4 + b*c + 0 - 4/3*c**3 - 2/3*c**2 = 0. What is c?
-1, 0
Let g(v) be the third derivative of v**8/10920 - v**7/5460 + v**3/6 - 5*v**2. Let c(b) be the first derivative of g(b). Factor c(f).
2*f**3*(f - 1)/13
Let x(f) be the third derivative of 8/9*f**3 - 5*f**2 - 10/9*f**6 + 0 + 2*f**5 + 25/126*f**7 - 16/9*f**4 + 0*f. Factor x(l).
(l - 2)*(5*l - 2)**3/3
Let n = -15221/154 + 493/22. Let u = n + 77. What is w in -6/7*w**3 + 2/7*w + 8/7*w**2 - u = 0?
-2/3, 1
Let r be (-3 + 0)/3 - 1. Let z be (r/(-14))/((-14)/(-28)). Factor 0*w + 2/7*w**2 - z.
2*(w - 1)*(w + 1)/7
Let v(q) be the third derivative of q**5/30 + q**4/4 + 14*q**2. Let v(t) = 0. What is t?
-3, 0
Solve -4/5*q + 2/5*q**2 + 2/5 = 0 for q.
1
Let o(p) be the first derivative of p**7/3780 - 7*p**6/1620 + p**5/36 - p**4/12 - 2*p**3 - 3. Let k(u) be the third derivative of o(u). Factor k(z).
2*(z - 3)**2*(z - 1)/9
Let m(x) be the first derivative of -1/10*x**4 - 4/5*x - 3 - 2/25*x**5 + 2/5*x**3 + 1/5*x**2. Determine w so that m(w) = 0.
-2, -1, 1
Let s = 37 - 35. Solve -a**s + 1/4 - 3/4*a = 0.
-1, 1/4
Let h = -3/10 + 73/210. Let c(r) be the second derivative of r + 0*r**3 + 1/70*r**5 + 0*r**2 + 0 + h*r**4. Determine i, given that c(i) = 0.
-2, 0
Let u(s) = -2*s**5 + 10*s**4 + 10*s**3 + 14*s**2 - 8*s. Let l(a) = a**5 - 3*a**4 - 3*a**3 - 5*a**2 + 3*a. Let n(t) = -8*l(t) - 3*u(t). Factor n(i).
-2*i**2*(i + 1)**3
Let l(p) = p**3 - 8*p**2 - p + 11. Let m be l(8). Suppose -4*w - m*g + 8 = -5*g, 2*w - 2*g = 0. Find u such that u**w + 0*u**4 + u**3 + u**4 + u**5 = 0.
-1, 0
Let c be (-124)/(-15)*6/28. Let b = c + -11/7. Determine w so that -b*w**2 - 1/5 + 2/5*w = 0.
1
Let v(s) be the first derivative of 8*s**5/35 - 2*s**3/7 - s**2/7 + 3. What is m in v(m) = 0?
-1/2, 0, 1
Let v(a) = -7*a - 31. Let w be v(-5). Factor -8/5*d**3 + 12/5*d**2 - 8/5*d + 2/5 + 2/5*d**w.
2*(d - 1)**4/5
Let p = 4 + -3. Suppose p = 3*h - 5. Determine l, given that -3*l + 2*l**3 + h*l**2 + 2*l - 3*l**3 = 0.
0, 1
Let g = 8 - 6. Factor 3*c**4 - 2 - 9*c**3 - 3*c + 1 + 1 + 9*c**g.
3*c*(c - 1)**3
Let x be 2*2/8*4. Let l(k) = k**2 + 6*k + 7. Let n be l(-5). Factor 2*i**2 - 2*i - n - x + 4*i.
2*(i - 1)*(i + 2)
Let u(n) be the first derivative of 0*n - 3/4*n**2 - 1/2*n**3 - 1. Suppose u(i) = 0. Calculate i.
-1, 0
Let y be (-4)/5 + 14/5. Suppose -2*g - y = -6. Factor 1/4*u + 0 - 1/4*u**g.
-u*(u - 1)/4
Let m be 0 + (-9 - -7)*(-1)/1. Let -2/9*j**3 + 0 - 2/9*j**m + 0*j = 0. What is j?
-1, 0
Let r be 1/((-2)/(-9 + 1)). Factor -7*v**3 - 7*v**4 + 6*v**4 - 6*v**2 + r*v + 8 + 2*v**3.
-(v - 1)*(v + 2)**3
Let m(x) be the second derivative of -4*x + 0 + 1/12*x**3 + 1/48*x**4 + 0*x**2. Suppose m(u) = 0. What is u?
-2, 0
Factor 2/7*c**2 + 0 + 2/7*c.
2*c*(c + 1)/7
Let o(s) be the third derivative of s**7/280 + s**6/120 - s**5/40 - s**4/8 + 2*s**3/3 - s**2. Let f(x) be the first derivative of o(x). Factor f(l).
3*(l - 1)*(l + 1)**2
Let w be 20*(-11)/(-528) + (-2)/12. Factor -3/2*f + w*f**2 + 9/4.
(f - 3)**2/4
Let n(b) be the first derivative of 2*b**3 + b**2 - 4. Determine u, given that n(u) = 0.
-1/3, 0
Let x be 6/5*10/(-4). Let b be 1 + (x - (-7)/3). Let -1/3*l**3 + b + 1/3*l - 1/3*l**2 = 0. What is l?
-1, 1
Let z(j) be the second derivative of j**7/28 + j**6/10 - j**4/4 - j**3/4 + 7*j. Let z(n) = 0. What is n?
-1, 0, 1
Let d be (-2)/(-1) - (3 - -1). Let x be (d - -2) + 10/35. Suppose 0 - x*f**2 - 4/7*f = 0. Calculate f.
-2, 0
Suppose -p = y - 17, 2*p = -2*p + 4*y + 36. Find f, given that -p + 13 - 3*f**2 = 0.
0
Let l(z) be the third derivative of -z**6/210 + z**5/35 - z**4/14 + 2*z**3/21 + 8*z**2. Find d such that l(d) = 0.
1
Find k, given that -6*k**2 + 37*k + 0*k**4 - 14*k**2 + 16*k**3 - 4*k**4 - 29*k = 0.
0, 1, 2
Let o(l) = -l**5 - l**4 - 1. Let r(n) = -6*n**5 + 4*n**2 + 5 + 5*n**2 - 8 + 6*n - 3*n**3 - 12*n**4. Let t(p) = 3*o(p) - r(p). Solve t(j) = 0 for j.
-2, -1, 0, 1
Let v(t) = -t**3 - t - 1. Let g(c) = 8*c**3 + 12*c**2 + 16*c + 8. Let h(z) = -g(z) - 4*v(z). Factor h(d).
-4*(d + 1)**3
Let x(h) = -h**3 - 6*h**2 + 7*h + 6. Let z be x(-7). Factor -w**2 + 7*w**2 + z*w - 2*w - 4*w**2.
2*w*(w + 2)
Let r = -12 + 12. Factor -4/5*q**2 + r + 2/5*q.
-2*q*(2*q - 1)/5
Let z(l) be the third derivative of l**8/28 - l**7/10 - l**6/20 + 2*l**5/5 - l**4/4 - l**3/2 - 15*l**2. Factor z(s).
3*(s - 1)**3*(s + 1)*(4*s + 1)
Let z(c) be the second derivative of 0 - 1/165*c**6 - 1/110*c**5 + 1/66*c**4 + 0*c**2 + 3*c + 1/33*c**3. Factor z(t).
-2*t*(t - 1)*(t + 1)**2/11
Factor -14/3*t + 10/3*t**2 - 2/3*t**3 + 2.
-2*(t - 3)*(t - 1)**2/3
Let p = -22 + 26. Solve -7*l**2 - 11*l**2 + 6*l**2 - 8*l**3 + 8*l + 12*l**p = 0.
-1, 0, 2/3, 1
Let w(m) be the third derivative of -m**8/588 - 8*m**7/735 - m**6/42 - 2*m**5/105 - 18*m**2. Let w(q) = 0. Calculate q.
-2, -1, 0
Let b(v) be the third derivative of -v**7/840 - v**6/180 + v**5/120 + v**4/12 + 7*v**3/6 - 8*v**2. Let l(d) be the first derivative of b(d). Factor l(u).
-(u - 1)*(u + 1)*(u + 2)
Let l(q) be the second derivative of -q**5/330 + q**4/33 - 4*q**3/33 + q**2 + 2*q. Let f(x) be the first derivative of l(x). Factor f(s).
-2*(s - 2)**2/11
Let i(u) be the first derivative of u**7/3360 + u**6/1440 + u**3/3 + 2. Let z(w) be the third derivative of i(w). What is g in z(g) = 0?
-1, 0
Let h be (-30)/(-8) - (-1)/4. Let i(y) = -y + 1. Let x be i(-3). Factor -h*m**4 - 3*m**3 + x*m**2 - 3*m**2 + 0*m**2.
-m**2*(m + 1)*(4*m - 1)
Factor 1/4*u**2 + 1 - 5/4*u.
(u - 4)*(u - 1)/4
Let c = 22 + -18. Let b(f) be t