4 + 4*a**n + 21*a**2 = 0 for a.
-2, -1, 1
Let u(g) be the first derivative of 1/180*g**6 + 0*g**3 - 5*g**2 - 1/18*g**4 + 0*g - 4 + 1/90*g**5. Let v(c) be the second derivative of u(c). Factor v(p).
2*p*(p - 1)*(p + 2)/3
Let p(b) be the second derivative of b**6/60 - b**5/10 - 3*b**4/4 + 9*b**3 - 35*b**2/2 + 36*b. Let c(u) be the first derivative of p(u). Factor c(g).
2*(g - 3)**2*(g + 3)
Determine x so that -10/3*x**3 - 40/3*x - 11*x**2 - 16/3 - 1/3*x**4 = 0.
-4, -1
Suppose -5 + 9 = -h. Let r be (-3 - -1)/(h/(-2)). Let z(n) = -n**2 + n + 1. Let v(c) = 4*c**2 + 5*c + 2. Let x(b) = r*z(b) - v(b). Factor x(a).
-3*(a + 1)**2
Let a(u) be the second derivative of 0*u**2 - 45*u - 1/5*u**5 + 22/3*u**4 - 242/3*u**3 + 0. Factor a(z).
-4*z*(z - 11)**2
Let f(k) be the first derivative of 2 + 1/7*k**2 + 2*k + 1/42*k**4 + 2/21*k**3. Let d(v) be the first derivative of f(v). Solve d(w) = 0 for w.
-1
Let x(k) = -k**2 - 1. Suppose -3*q - 1 - 7 = -5*s, -5*s + 20 = 0. Let y(f) = -3*f**2 + 10*f - 27. Let b(v) = q*x(v) - 2*y(v). Determine a, given that b(a) = 0.
5
Let v be (22*(-4)/180)/(3/(-30)). Let h = v - 38/9. Factor 0*n + 4/3*n**4 + 0*n**2 - 2/3*n**3 - h*n**5 + 0.
-2*n**3*(n - 1)**2/3
Let n = -6 - -9. Let l(c) = 28*c + 168. Let k be l(-6). Factor -5/2*a**4 + 4*a - 1/2*a**5 + k - n*a**3 + 2*a**2.
-a*(a - 1)*(a + 2)**3/2
Suppose 10*o - d = 5*o - 4, 5*o = 2*d - 8. Let m(n) be the first derivative of 4/5*n**5 - 1/2*n**2 + 1/4*n**4 + o*n - 1 - 4/3*n**3. Factor m(r).
r*(r - 1)*(r + 1)*(4*r + 1)
Find y such that -15/8*y + 9/8*y**2 - 1/8*y**3 + 7/8 = 0.
1, 7
Suppose 0 = -n - 2*a - 1 + 7, 4*n - 5*a = -2. Factor -12 + 12 + 3*s**4 - 5*s**4 + 2*s**n + 4*s**3 - 4*s.
-2*s*(s - 2)*(s - 1)*(s + 1)
Let n(h) be the first derivative of -h**7/105 - h**6/12 - 4*h**5/15 - h**4/3 + 12*h**2 + 26. Let v(o) be the second derivative of n(o). What is l in v(l) = 0?
-2, -1, 0
Let r be (-16)/(-6)*(-1035)/(-3220). Suppose -10/7*b - r*b**3 + 2*b**2 + 2/7 = 0. Calculate b.
1/3, 1
Let b(s) be the second derivative of 0 - 1/20*s**5 + 0*s**3 + 11*s + 0*s**2 - 1/6*s**4. Determine n, given that b(n) = 0.
-2, 0
Let b(a) = -16*a**3 - 43*a**2 - 34*a - 7. Let z(y) = y**3 - y**2 - 3*y - 1. Let p(w) = 3*b(w) - 12*z(w). Factor p(l).
-3*(l + 1)*(4*l + 3)*(5*l + 1)
Let u(f) be the second derivative of 0*f**4 + 1/10*f**2 - 1/50*f**5 - 1/150*f**6 + 0 + 1/15*f**3 + 11*f. Factor u(s).
-(s - 1)*(s + 1)**3/5
Let q(g) be the first derivative of g**4/2 - 32*g**3/3 + 64*g**2 + 62. Let q(b) = 0. Calculate b.
0, 8
Let t = -3009/10 - -301. Let g(c) be the first derivative of -2/15*c**6 - 3/4*c**4 - t*c**2 - 3 + 0*c - 7/15*c**3 - 13/25*c**5. Suppose g(v) = 0. Calculate v.
-1, -1/4, 0
Let o(r) = r**2 + 19*r + 78. Let m be o(-13). Factor m*i + 0 - 2/5*i**2 + 3/5*i**3 - 1/5*i**4.
-i**2*(i - 2)*(i - 1)/5
Determine l, given that -884*l**3 + 1776*l**3 - 888*l**3 + 16*l**4 = 0.
-1/4, 0
Let p(i) be the first derivative of i**6/360 - i**5/40 - i**4/6 - 4*i**3 + 10. Let h(o) be the third derivative of p(o). Let h(c) = 0. Calculate c.
-1, 4
Let w be (3822/7644)/(9/40 + 4/10). Solve -z + 0 - w*z**2 + 1/5*z**3 = 0 for z.
-1, 0, 5
Let h(t) be the first derivative of t**6/5 - t**5/5 + t**4/18 - 19*t - 33. Let x(o) be the first derivative of h(o). Suppose x(m) = 0. What is m?
0, 1/3
Let u be (20 - 2)*((-7)/(-2))/7. Suppose 0 = 5*b + u*b. Determine d, given that -1/3*d + b + 1/6*d**2 = 0.
0, 2
Let k(r) = -r**2 + 7*r. Let h(f) = 2*f. Let l(y) = -4*h(y) + k(y). Let l(i) = 0. Calculate i.
-1, 0
Let h = -183/2449 - -11/79. Let b = h - -25/93. Factor -b*y**2 + 2/3 + 1/3*y.
-(y - 2)*(y + 1)/3
Let p(j) = 22*j - 33. Let a be p(5). Solve a*c**2 - 44 + 21*c**3 + 10*c + 3*c - 63*c**4 - 186*c**3 + 38 = 0 for c.
-3, -2/7, 1/3
Let i = -2 - -2. Let f = 117/385 + -1/55. Factor 0 + f*h + i*h**2 - 2/7*h**3.
-2*h*(h - 1)*(h + 1)/7
Let c(m) be the second derivative of m**4/36 + 2*m**3/9 - 5*m**2/6 - 3*m + 5. Factor c(g).
(g - 1)*(g + 5)/3
Suppose -15*d - 28 = 32. Let t be (32/5 - 2/5) + d. Suppose 0*h - 1/2*h**3 + 3/2*h**2 - t = 0. What is h?
-1, 2
Let 2209 + 15*v + 60*v + 33*v - v**2 - 14*v + 2*v**2 = 0. What is v?
-47
Let r(s) = -2*s**2 - s + 1. Let n(x) = x**2 - 10*x - 11. Let w(a) = -5*n(a) - 5*r(a). Solve w(b) = 0.
-10, -1
Let d(n) be the third derivative of n**5/160 - 31*n**4/32 + 961*n**3/16 - 2*n**2. Let d(f) = 0. Calculate f.
31
Let j(x) be the third derivative of x**6/40 - x**5/20 - x**4 + 6*x**3 - 170*x**2. Factor j(v).
3*(v - 2)**2*(v + 3)
Let s = -61/35 - -401/210. Let k(g) be the second derivative of -2*g**2 + 1/3*g**3 + 0 + s*g**4 + 9*g. Let k(i) = 0. Calculate i.
-2, 1
Let t(k) be the third derivative of -k**5/180 - 5*k**4/36 + 11*k**3/18 - k**2 - 1. Factor t(q).
-(q - 1)*(q + 11)/3
Factor 6 - 80*d - 65*d**2 - 96*d**2 - 22 + 205*d**2.
4*(d - 2)*(11*d + 2)
Let x(b) be the first derivative of -b**5/20 + 3*b**4/16 + 5*b**3/6 - 3*b**2 - 239. Factor x(v).
-v*(v - 4)*(v - 2)*(v + 3)/4
Let o be -6*1 + 10/15*(-39)/(-4). Factor -1/2*k**2 - k - o.
-(k + 1)**2/2
Determine w, given that -1/5*w**3 - 8/5*w - 1/5*w**4 + 0 + 2*w**2 = 0.
-4, 0, 1, 2
Let c(j) be the third derivative of j**8/84 - 2*j**7/105 - 4*j**6/15 + 4*j**5/5 - 111*j**2. Determine s so that c(s) = 0.
-3, 0, 2
Let w(p) be the second derivative of 1/8*p**4 - 7/12*p**3 - 1/60*p**6 + 0 + 19*p - 3/2*p**2 + 3/40*p**5. Find j, given that w(j) = 0.
-1, 2, 3
Let x(l) be the first derivative of -8*l - 2/3*l**3 - 10 - 4*l**2. Solve x(y) = 0.
-2
Factor -38/11*x**4 - 16/11*x**2 + 0*x + 0 + 84/11*x**3.
-2*x**2*(x - 2)*(19*x - 4)/11
Suppose 2*a + 1 - 7 = 0. Determine u so that 2 + 2*u**3 + 3*u**2 - 4*u**3 + 5*u - 5*u**2 - a*u = 0.
-1, 1
Let u = 88/35 - 74/35. Factor 0*r - u*r**2 + 0 + 7/5*r**3.
r**2*(7*r - 2)/5
Let h(y) = -14*y**3 - 101*y**2 - 61*y + 8. Suppose 5*k + 375 = -10*k. Let b(d) = -55*d**3 - 405*d**2 - 245*d + 30. Let n(x) = k*h(x) + 6*b(x). Factor n(w).
5*(w + 1)*(w + 4)*(4*w - 1)
Solve -110/7*b - 2/7*b**2 - 108/7 = 0 for b.
-54, -1
Let y(m) = 4*m**2 + 2*m. Let n(j) be the third derivative of -2*j**5/15 - j**4/8 - j**2. Let v(o) = -6*n(o) - 11*y(o). Factor v(w).
4*w*(w - 1)
Determine g, given that 27/7*g - 27/7*g**3 - 15/7*g**2 + 3*g**4 - 6/7 = 0.
-1, 2/7, 1
Suppose -737*n + 172*n**2 - 3*n**3 - 1936 + 7*n**3 + 1100*n + 1397*n = 0. Calculate n.
-22, 1
Suppose 0 = -4*s - 2*a - 12, 2*s - 58*a = -55*a + 18. Let l = 36 - 178/5. What is n in 4/5*n + 6/5*n**2 + s + l*n**3 = 0?
-2, -1, 0
Let u be 4/((60/5)/(-3) + 6). Let x(k) be the second derivative of -6*k - 7/12*k**4 - 8/3*k**3 - 2*k**u + 0. Factor x(m).
-(m + 2)*(7*m + 2)
Let j(p) be the first derivative of -3/4*p**2 + 9 - 3/32*p**4 - 5/8*p**3 + 0*p. What is z in j(z) = 0?
-4, -1, 0
Let q(c) be the second derivative of -5/78*c**4 + 9*c + 8/39*c**3 - 4/13*c**2 + 0 + 1/130*c**5. Determine u so that q(u) = 0.
1, 2
Let q be (-23)/((-1380)/(-1310)) - -22. Factor 0*y**2 - q*y + 0 + 1/6*y**3.
y*(y - 1)*(y + 1)/6
Let s = 32 + -23. Let p(q) = q**2 - 10*q + 12. Let l be p(s). Factor -7/6*b - 5/6*b**l - 1/3 - 1/6*b**4 - 3/2*b**2.
-(b + 1)**3*(b + 2)/6
Determine j so that j + 0 - 2/3*j**2 - 1/3*j**3 = 0.
-3, 0, 1
Let k(r) = -27*r + 23. Let m be k(-7). Factor -16 + m - 56*f - 352*f**2 + 356*f**2.
4*(f - 7)**2
Let u(o) = 18*o**2 - 40*o + 16. Let g(d) = -1. Let p(b) = -8*g(b) - u(b). Factor p(t).
-2*(t - 2)*(9*t - 2)
Let g(f) be the first derivative of -f**6/48 + 3*f**4/32 + f**3/12 + 68. Determine a so that g(a) = 0.
-1, 0, 2
Let f be (2/(-7))/((-12)/(-21)) - 10/(-15). Solve 0 - f*u**3 - 1/3*u**2 + 1/2*u = 0 for u.
-3, 0, 1
Let g = 48 + -51. Let z(w) = w**2 + 1. Let k(n) = -3*n**3 - 6*n**2 - 3. Let r(t) = g*z(t) - k(t). Find j such that r(j) = 0.
-1, 0
Let t(l) be the third derivative of l**5/20 + 3*l**4/2 - 227*l**2. What is a in t(a) = 0?
-12, 0
Let b(p) be the third derivative of p**6/480 + 13*p**5/240 + 5*p**4/12 + 3*p**3/2 - 53*p**2. Factor b(t).
(t + 2)**2*(t + 9)/4
Let y(w) be the first derivative of 3*w**5/20 - 3*w**4/8 - 51. Factor y(b).
3*b**3*(b - 2)/4
Let h(a) be the second derivative of a**4/6 - 4*a**3/3 + 4*a**2 + a - 27. Solve h(m) = 0.
2
Let s(h) = -13*h**3 + 4*h**2 - 9*h + 7. Let y = 0 - -6. Let c(u) = 3764*u - 4 + 2*u**2 - 3759*u - 4*u**2 + 7*u**3. Let v(g) = y*s(g) + 11*c(g). Factor v(x).
-(x - 2)*(x - 1)*(x + 1)
Suppose -3*v = v - 5