tor 4/5*v**g + 16/5*v + s.
4*(v + 1)*(v + 3)/5
Let f(x) be the first derivative of -x**6/6 + 7*x**4/4 - 2*x**3/3 - 6*x**2 + 8*x - 88. Solve f(i) = 0 for i.
-2, 1, 2
Let l(n) be the first derivative of -1/8*n**2 - 1/12*n**3 - 11 + 0*n. Factor l(o).
-o*(o + 1)/4
Suppose 28*h = 110 - 26. Factor -3/7*f**h - 12/7*f**2 - 9/7*f + 0.
-3*f*(f + 1)*(f + 3)/7
Suppose 0*z = -2*z + 6. Let j(w) = w**z + 2*w - 4*w + 4*w**2 - w + 2. Let m(d) = -5*d**3 - 17*d**2 + 13*d - 9. Let n(b) = -9*j(b) - 2*m(b). Factor n(k).
k*(k - 1)**2
Let b = -14757/301 - -2145/43. Factor -2/7*a**2 - b - 8/7*a.
-2*(a + 1)*(a + 3)/7
Let o(z) be the third derivative of -z**6/120 + 11*z**5/60 - 35*z**4/24 + 25*z**3/6 - 151*z**2. Determine a so that o(a) = 0.
1, 5
Let u(s) be the first derivative of 0*s + 1/45*s**6 - 1 + 0*s**5 + 1/15*s**2 + 0*s**3 - 1/15*s**4. Find j, given that u(j) = 0.
-1, 0, 1
Let -14*g + 20*g**3 + 10*g + g**2 - 16*g**3 - 1 = 0. What is g?
-1, -1/4, 1
Let b(c) = 5*c**5 + 8*c**4 + 3*c**3 - 3*c**2 - 3*c - 3. Let n(h) = 10*h**5 + 15*h**4 + 5*h**3 - 5*h**2 - 5*h - 5. Let a(y) = 5*b(y) - 3*n(y). Factor a(s).
-5*s**4*(s + 1)
Let z(s) be the second derivative of 1/150*s**6 + 0*s**4 + 3/100*s**5 + 0 - 2/15*s**3 + 0*s**2 + 5*s. Solve z(t) = 0 for t.
-2, 0, 1
Let f be 30/135 + (-48)/(-27). Let n(j) be the first derivative of -f + 2*j + 0*j**2 - 2/3*j**3. Factor n(u).
-2*(u - 1)*(u + 1)
Let k(h) = -57*h - 114. Let c be k(-2). Let q(j) be the third derivative of c*j + 0*j**3 - 1/210*j**5 - 1/28*j**4 + 0 - 13*j**2. Suppose q(r) = 0. Calculate r.
-3, 0
Let m(s) = 5*s**2 + 66*s - 1764. Let g(w) = 14*w**2 + 201*w - 5292. Let t(i) = 6*g(i) - 17*m(i). Factor t(a).
-(a - 42)**2
Let j = 81/5 - 18701/1155. Let s(z) be the second derivative of -4*z - 20/33*z**4 + 0*z**3 + 0 + 16/11*z**2 + j*z**7 - 1/11*z**6 + 4/11*z**5. Factor s(q).
2*(q - 2)**4*(2*q + 1)/11
Solve 6/17*v**3 - 30/17*v + 14/17*v**2 - 36/17 - 2/17*v**4 = 0 for v.
-2, -1, 3
Let v(r) be the third derivative of -r**5/100 + 7*r**4/40 - r**3 + 59*r**2. Factor v(x).
-3*(x - 5)*(x - 2)/5
Suppose 2*s + 0 + 4 = 2*t, 0 = 4*t + 2*s - 8. Let l(a) be the first derivative of 6 - 1/9*a**3 - 2/3*a - 1/2*a**t. Find r such that l(r) = 0.
-2, -1
Let i be 330/42 + -8 + (-550)/(-28). Let a(k) be the first derivative of 1 + 28/5*k**5 + 15*k**2 + 76/3*k**3 + 4*k + i*k**4. Solve a(b) = 0 for b.
-1, -1/2, -2/7
Let h be (-6)/(-33) + (-4467)/33. Let m = -135 - h. Determine n so that -64/11*n**5 + 64/11*n**4 + 4*n**3 - m + 20/11*n - 62/11*n**2 = 0.
-1, 1/4, 1/2, 1
Let u(p) be the third derivative of -p**6/200 - 18*p**5/25 - 216*p**4/5 - 6912*p**3/5 + 52*p**2. Find i such that u(i) = 0.
-24
Find t such that -3/2*t**4 + 0 - 17/2*t**3 - 10*t + 39/2*t**2 + 1/2*t**5 = 0.
-4, 0, 1, 5
Suppose 0 + 0*q**3 - 1/8*q**4 - 1/4*q + 3/8*q**2 = 0. Calculate q.
-2, 0, 1
Let f(x) be the third derivative of x**8/112 + 2*x**7/35 + 3*x**6/40 - x**5/5 - x**4/2 + 160*x**2. Find w such that f(w) = 0.
-2, -1, 0, 1
Let g be 3 - ((-19)/(-38))/(3/2). Let y = 5 - g. Find c, given that 5/3*c**3 + 2 - 6*c**2 + y*c = 0.
-2/5, 1, 3
Let w(g) be the second derivative of -1/9*g**3 - 32*g + 1/36*g**4 + 0 + 0*g**2. Factor w(h).
h*(h - 2)/3
Suppose -3*z + 3 = n - 2*n, -z - 3*n = 9. Solve 10/3*y**3 + z*y + 5/3*y**2 + 0 + 5/3*y**4 = 0 for y.
-1, 0
Let z(i) be the first derivative of 0*i - 1/5*i**3 + 3/2*i**2 - 15. Find k such that z(k) = 0.
0, 5
Let z = -31 + 35. Let d be 4/21 - (-4)/28. Solve 2/3 - 1/3*h - h**2 + 1/3*h**z + d*h**3 = 0.
-2, -1, 1
Let o(a) = 11*a**3 + a**2 - 5*a + 5. Let h be o(1). Let c be -3 + 51/h + (-15)/(-20). Let -16/5*l - 6/5*l**c - 8/5 = 0. Calculate l.
-2, -2/3
Find s such that 0*s + 4/3*s**2 - 1/3*s**3 + 0 = 0.
0, 4
Let j(o) be the second derivative of 11/20*o**6 - 4 - 9*o + 0*o**2 + 0*o**3 - 1/2*o**4 - 6/5*o**5 + 9/28*o**7. Let j(z) = 0. What is z?
-2, -2/9, 0, 1
Suppose -172*h = a - 175*h - 21, 5*a - 2*h = 27. Solve 3/5 - 1/5*r**4 - 2/5*r**2 + 4/5*r**a - 4/5*r = 0 for r.
-1, 1, 3
Let f(k) be the third derivative of -1/24*k**4 - 1/15*k**5 + 0 - 1/120*k**6 + 0*k + 2*k**2 + k**3. Factor f(v).
-(v - 1)*(v + 2)*(v + 3)
Factor 1/4*g**4 - g**3 - 5/4*g**2 + 0 + 0*g.
g**2*(g - 5)*(g + 1)/4
Let z(a) be the third derivative of -a**8/36 - a**7/630 + 19*a**6/60 + a**5/45 - a**4/9 - 27*a**2. Solve z(u) = 0 for u.
-2, -2/7, 0, 1/4, 2
Let x(w) = 9*w**4 - 172*w**3 + 482*w**2 - 470*w + 159. Let a(o) = 20*o**4 - 345*o**3 + 965*o**2 - 940*o + 320. Let r(n) = -2*a(n) + 5*x(n). Factor r(c).
5*(c - 31)*(c - 1)**3
Let f = 23359/484 - -180/121. Let q = f + -49. Let -2*w**2 + 5/4*w + q = 0. Calculate w.
-3/8, 1
Suppose -175 = -10*c + 11*c. Let l = c + 1229/7. Let 2/7*w**2 + 2/7 - l*w = 0. Calculate w.
1
Determine b, given that -8/7*b**4 - 472/7*b**2 + 12 + 190/7*b**3 + 206/7*b = 0.
-1/4, 1, 2, 21
Find p, given that 1/8*p**2 + 7/4*p + 33/8 = 0.
-11, -3
Factor -2*u**3 - 116/7*u**2 - 4 - 130/7*u.
-2*(u + 1)*(u + 7)*(7*u + 2)/7
Let w(m) be the second derivative of -7*m**6/30 - 4*m**5/5 + 2*m**4/3 + 16*m**2 + 40*m. Let n(z) be the first derivative of w(z). Factor n(o).
-4*o*(o + 2)*(7*o - 2)
Let j(y) be the third derivative of 0 + 0*y**3 + 0*y**4 - 1/300*y**5 - 6*y**2 + 0*y. Factor j(z).
-z**2/5
Let g(y) be the first derivative of -y**6/15 + y**4/6 - 12*y + 13. Let z(c) be the first derivative of g(c). Determine x, given that z(x) = 0.
-1, 0, 1
Let 560*c + 24 + 130*c**4 + 720*c**2 + 61 + 15*c**5 + 39*c**3 + 401*c**3 + 75 = 0. What is c?
-2, -2/3
Let x(n) = -3*n**2 + 108*n + 115. Let j be x(37). Factor 9/7*h**j + 3/7*h**2 - 3/7*h**5 + 0*h + 0 - 9/7*h**3.
-3*h**2*(h - 1)**3/7
Let x(r) = -64*r**3 + 20*r**2 + 60*r + 16. Let u(t) = 64*t**3 - 19*t**2 - 61*t - 17. Let g(c) = 4*u(c) + 3*x(c). Factor g(d).
4*(2*d + 1)**2*(4*d - 5)
Let h(x) be the first derivative of 24 - 5*x + 1/3*x**3 + 2*x**2. What is m in h(m) = 0?
-5, 1
Let j(d) be the second derivative of -d**5/20 - 10*d**4/3 - 77*d**3/6 - 19*d**2 + 181*d. Factor j(c).
-(c + 1)**2*(c + 38)
Let n(w) = 2*w**4 + w**3 + 3*w**2 + 2. Let b(y) = -13*y**4 + 16*y**3 + 99*y**2 - 144*y - 14. Let t(x) = 2*b(x) + 14*n(x). Determine q so that t(q) = 0.
-12, 0, 1
Let u(b) = -b**3 - 7*b**2 + 15*b + 56. Let p be u(-8). Let x(i) be the second derivative of 1/22*i**4 + 1/110*i**5 - 11*i + 0 + p*i**3 + 0*i**2. Factor x(o).
2*o**2*(o + 3)/11
Let h(j) = 5*j - 22. Let t be h(5). Let c be ((-12)/14)/(t/(-2)). Solve -2/7*a**3 + 2/7*a**2 + 0 + c*a = 0.
-1, 0, 2
Let r(s) be the second derivative of 3*s**5/100 - s**4/2 + 5*s**3/2 + 6*s + 1. Determine j, given that r(j) = 0.
0, 5
Let k(l) = l**5 - l**2 + l. Let d(c) = 2*c**5 + 3*c**4 - 9*c**3 + 4*c**2 - 2*c. Let n(s) = d(s) + 2*k(s). Determine m so that n(m) = 0.
-2, 0, 1/4, 1
Let m(x) be the first derivative of 27*x + 1/9*x**3 + 3*x**2 + 46. Factor m(s).
(s + 9)**2/3
Let 217*n - 17*n - 91*n**2 + 56 + 245*n**2 + 10*n**3 = 0. Calculate n.
-14, -1, -2/5
Let w be (-16)/4 + 3954/10. Let h = w - 389. Factor -4/5*s - 16/5*s**2 + 8/5 + h*s**3.
4*(s - 1)**2*(3*s + 2)/5
Suppose -3*r = -4*t - 8*r - 13, 0 = -3*t + 3*r + 24. Solve 2*n + 4*n**2 + 30*n - 3*n**4 + 47*n**5 - 43*n**5 - n**4 + 16 - 20*n**t = 0.
-1, 2
Let a(z) be the third derivative of -z**5/390 + 46*z**4/39 - 8464*z**3/39 - 5*z**2 + 37*z. What is x in a(x) = 0?
92
Let u(i) be the first derivative of 9*i**4/4 - 47*i**3 + 102*i**2 + 84*i + 190. Factor u(h).
3*(h - 14)*(h - 2)*(3*h + 1)
Let -2/5*o**5 - 14/5*o**3 + 12/5*o**4 + 16/5*o - 12/5*o**2 + 0 = 0. What is o?
-1, 0, 1, 2, 4
Let z be (-988)/(-152) + 1*(-1)/10. Let c(j) be the first derivative of -z*j**3 - 256/5*j + 128/5*j**2 + 4/5*j**4 - 1/25*j**5 + 5. Solve c(f) = 0.
4
Suppose 3*c + 51 = -3*x, 0 = -5*c - x - 3*x - 80. Let r be ((-3)/((-90)/c))/((-6)/10). Factor -r*y**2 + 2/3*y**4 - 2/3*y**5 + 2/3*y**3 + 0*y + 0.
-2*y**2*(y - 1)**2*(y + 1)/3
Let a = 14 + -2. Suppose 13*h = a*h + 11. Factor -l**2 - 3*l + 3*l**2 + 2 - h*l + 18*l.
2*(l + 1)**2
Let z(d) = 26*d - 48. Let x be z(2). Let y(h) be the first derivative of -2/3*h**3 - 1 - 6*h + x*h**2. Let y(w) = 0. What is w?
1, 3
Let g(j) be the first derivative of 3*j**5/35 + 3*j**4/28 - j**3/7 - 3*j**2/14 + 108. Factor g(f).
3*f*(f - 1)*(f + 1)**2/7
Let o(x) be the first derivative of x**4/20 - 28*x**3/15 + 98*x**2/5 - 21. Let o(n) = 0. What is n?
0, 14
Let z(y) be the first de