he second derivative of 0*y**2 + 0*y**4 - 1/1800*y**6 + 0 - 1/6*y**3 - 8*y - 1/300*y**5. Let l(u) be the second derivative of s(u). Solve l(h) = 0.
-2, 0
Let v(z) be the first derivative of 0*z - 2/25*z**5 - 1/5*z**2 + 2/15*z**3 - 4 + 1/10*z**4. Factor v(y).
-2*y*(y - 1)**2*(y + 1)/5
Let a = 1 - -44. Let z be ((-3)/(-4))/(a/240). Determine q so that 1 - q**3 - z*q**4 + q**5 - 2*q**2 + q - q**3 + 5*q**4 = 0.
-1, 1
Let u(y) = 3*y**5 + 5*y**4 + 5*y**3 - 27*y**2 - 38*y - 14. Let m(c) = 8*c**5 + 10*c**4 + 10*c**3 - 55*c**2 - 75*c - 27. Let t(w) = 2*m(w) - 5*u(w). Factor t(v).
(v - 4)**2*(v + 1)**3
Let -48/5*h**4 + 24/5*h - 104/5*h**3 - 4/5 - 3/5*h**2 = 0. Calculate h.
-2, -2/3, 1/4
Factor -16/5*v**2 - 48/5*v + 0 + 4/5*v**3.
4*v*(v - 6)*(v + 2)/5
Suppose -4*m + 5*a - 25 = 0, -3*m - 3*a = -38 + 23. Factor 3/4*z + 1/2*z**2 - 1/4*z**3 + m.
-z*(z - 3)*(z + 1)/4
Let n(l) be the first derivative of 2*l**5/45 - 2*l**4/9 + 10*l**3/27 - 2*l**2/9 - 108. Determine d, given that n(d) = 0.
0, 1, 2
Let g = 47 - 43. Factor 35*b**2 - 14*b**3 - 2*b**3 + 4*b**3 - 15*b**g - 10*b + 2*b**3.
-5*b*(b - 1)*(b + 2)*(3*b - 1)
Let y = 66 + -63. Let w(z) be the third derivative of 0*z**y + 3*z**2 + 0 - 1/30*z**6 + 0*z**4 + 0*z + 2/105*z**7 + 0*z**5. Factor w(l).
4*l**3*(l - 1)
Let h(p) be the first derivative of -3*p**5/5 - 27*p**4/4 - 12*p**3 + 120*p**2 + 576*p - 500. Factor h(m).
-3*(m - 3)*(m + 4)**3
Let t(z) = -z**3 + 15*z**2 + 11*z + 80. Let c be t(16). Let v = -1/360 - -107/120. Solve -4/9*b + c + 10/9*b**2 - v*b**3 + 2/9*b**4 = 0 for b.
0, 1, 2
Factor 4/7*r**3 + 10/7*r + 0 - 22/7*r**2.
2*r*(r - 5)*(2*r - 1)/7
Let i(c) be the first derivative of c**4/96 + c**3/16 + c**2/8 + 16*c + 3. Let a(y) be the first derivative of i(y). Solve a(j) = 0 for j.
-2, -1
Let p(t) be the second derivative of t**6/180 - t**4/18 - 98*t. Factor p(s).
s**2*(s - 2)*(s + 2)/6
Suppose t - 4*v - 32 = 0, -4*v = -5*t - 17 + 113. Let s be 6/4 - (-40)/t. Suppose 4*d - s + 2 - 2*d**3 + 6 + 2*d = 0. Calculate d.
-1, 2
Let j(l) = -2*l**4 + 168*l**3 + 368*l**2 + 126*l + 6. Let s(o) = -169*o**3 - 368*o**2 - 125*o - 5. Let f(u) = -5*j(u) - 6*s(u). Factor f(a).
2*a*(a + 2)*(a + 15)*(5*a + 2)
Solve -27/4 + 3*p - 1/4*p**2 = 0.
3, 9
Suppose 13*u = 14*u - 6215. Find k such that -u*k**4 + 6219*k**4 - 32*k**3 - 64 + 60*k**2 + 4*k + 28*k = 0.
-1, 1, 4
Let f(r) be the second derivative of -5*r**4/12 - 5*r**3/3 - 78*r. Let f(x) = 0. Calculate x.
-2, 0
Let x(v) be the third derivative of -3*v**7/35 + 11*v**6/4 + 113*v**5/30 + 19*v**4/12 - 18*v**2 + 5. What is y in x(y) = 0?
-1/3, 0, 19
Let c(i) be the first derivative of i**4/4 - 5*i**3/3 + 2*i**2 + 78. Find h such that c(h) = 0.
0, 1, 4
Let k(c) be the second derivative of -31*c + 0 - 25/11*c**2 - 13/22*c**4 - 5/3*c**3 - 9/110*c**5. Let k(r) = 0. What is r?
-5/3, -1
Suppose -24*q = -152 - 88. Suppose -42/5*a**5 + q*a**3 - 8/5*a + 16/5*a**2 - 16/5*a**4 + 0 = 0. What is a?
-1, -2/3, 0, 2/7, 1
Let z(x) = x. Let g(h) = -8*h**3 - 14*h**2 - 7*h + 2. Let n = 15 - 21. Let r(d) = n*z(d) - 2*g(d). Factor r(j).
4*(j + 1)**2*(4*j - 1)
Let n = 5/29 - 107/957. Let x(l) be the second derivative of 0 - n*l**3 - 8*l - 1/66*l**4 - 1/11*l**2. Factor x(y).
-2*(y + 1)**2/11
Let f(p) be the third derivative of p**6/60 - 4*p**4 - 128*p**3/3 + 2*p**2 + 39*p. Determine d so that f(d) = 0.
-4, 8
Let t(l) be the second derivative of -l**5/4 - 25*l**4/6 - 45*l**3/2 - 45*l**2 - 42*l. Factor t(b).
-5*(b + 1)*(b + 3)*(b + 6)
Let m(a) be the first derivative of 10*a**3 + 10 + 37/2*a**4 + 0*a + 2*a**2 + 66/5*a**5 + 3*a**6. Let m(h) = 0. Calculate h.
-2, -1, -1/3, 0
Let q = 18 - 80. Let y = -62 - q. Factor 1/4*j + 1/4*j**2 + y.
j*(j + 1)/4
Let s(z) = -4*z**3 - 10*z**2 + 7*z - 7. Let t(n) = n**3 + 5*n**2 - 3*n + 3. Let l(a) = 3*s(a) + 7*t(a). Solve l(w) = 0 for w.
0, 1
Let v(n) = -80*n**2 + 405*n - 55. Let w(p) be the first derivative of -p**3 + 15*p**2/2 - 2*p + 5. Let k(z) = -2*v(z) + 55*w(z). Determine o so that k(o) = 0.
0, 3
Let s = 118 - 121. Let h be 0/((s/9)/(2/(-6))). Factor 2/7*w**5 - 2/7*w**3 + h*w - 2/7*w**2 + 2/7*w**4 + 0.
2*w**2*(w - 1)*(w + 1)**2/7
Let q(a) be the second derivative of -a**5/90 - 13*a**4/54 - 56*a**3/27 - 80*a**2/9 - 59*a. Factor q(h).
-2*(h + 4)**2*(h + 5)/9
Factor 0*s - 37/4*s**2 + 1/4*s**3 + 0.
s**2*(s - 37)/4
Let w(d) be the first derivative of 1/3*d**5 - 1/6*d**2 - 11/12*d**4 + 7/9*d**3 - 23 + 0*d. Factor w(j).
j*(j - 1)**2*(5*j - 1)/3
Let f(l) = 2*l**2 + 8*l - 6. Let k be f(-5). Suppose 7*z = 8*z. Factor 1/6*n**3 - 1/3*n**k + z*n + 0 + 1/6*n**2.
-n**2*(n - 1)*(2*n + 1)/6
Solve 0 - 7*f**3 + 33*f**2 - 19 - 32*f + 8 - 1 = 0.
-2/7, 2, 3
Solve -8/15 + 14/15*g**2 - 4/3*g**3 + 8/15*g + 2/5*g**4 = 0 for g.
-2/3, 1, 2
Let j = 1210 + -3626/3. Suppose -49/3*o**2 - 28/3*o - j = 0. Calculate o.
-2/7
Let i be 1/(6/12) - (-1 + 1). Let q(x) be the third derivative of 1/140*x**6 + 1/210*x**5 - 2/21*x**3 + 0 + 1/735*x**7 - 6*x**i + 0*x - 1/28*x**4. Factor q(o).
2*(o - 1)*(o + 1)**2*(o + 2)/7
Let z(r) = 4*r**2 - 16*r + 22. Let a(m) = -2*m**2 + 8*m - 12. Let y(u) = -5*a(u) - 3*z(u). What is k in y(k) = 0?
1, 3
Let m be (-140)/56 - -3*1. Suppose 2*s + 1 = 5. Factor m*o**s + o + 1/2.
(o + 1)**2/2
Factor 2*b**3 + 8*b**2 + 12*b - 18*b**3 - 124984 + 4*b**5 - 8*b**4 + 124984.
4*b*(b - 3)*(b - 1)*(b + 1)**2
Let y be (-12)/(-5) + 6*(-3)/45. Suppose -y = -13*o + 12*o. Factor 0 + 0*l**o + 0*l - 1/4*l**3.
-l**3/4
Let v be (-1)/(-1 + 2744/2765). Let w = -130 + v. Let -7/3*p**2 + 0 - w*p**3 - 2/3*p = 0. Calculate p.
-1, -2/5, 0
Let h(g) be the second derivative of -g**7/357 + 11*g**6/255 - 24*g**5/85 + 52*g**4/51 - 112*g**3/51 + 48*g**2/17 + 87*g - 2. Let h(b) = 0. Calculate b.
2, 3
Solve -15*c**2 - 7*c + 8 + 13*c**2 - c**3 - c + 3*c**3 = 0.
-2, 1, 2
Let v(x) be the first derivative of -x**5/10 - 13*x**4/32 + x**3/24 + 13*x**2/16 + 3*x/8 - 9. Let v(u) = 0. What is u?
-3, -1, -1/4, 1
Let t(j) be the first derivative of j**5/60 - j**4/2 + 11*j**3/6 + 25*j**2/2 - j - 9. Let x(d) be the second derivative of t(d). Factor x(o).
(o - 11)*(o - 1)
Let y(k) be the second derivative of 0*k**2 - 7*k + 0 + 0*k**5 + 0*k**6 + 0*k**3 + 0*k**4 - 1/210*k**7. Let y(i) = 0. Calculate i.
0
Factor -54*f**3 + 2*f**4 + 575*f - 575*f.
2*f**3*(f - 27)
Let g(z) be the first derivative of -4*z**3/15 - 6*z**2/5 - 8*z/5 - 145. Let g(t) = 0. What is t?
-2, -1
Factor 259*o**3 + 5*o**2 + 2*o - o**4 - 258*o**3 - o**4.
-o*(o - 2)*(o + 1)*(2*o + 1)
Let d(k) = k**3 - 8*k**2 - 11*k - 6. Let h be d(9). Let q be 28/(-8)*h/14. Factor -9*r - r**2 + 6*r**2 - 2*r**2 + q.
3*(r - 2)*(r - 1)
Let x(q) be the second derivative of -q**6/75 + 9*q**5/50 - 4*q**4/15 - 5*q + 10. Let x(d) = 0. Calculate d.
0, 1, 8
Let d = -9217/4 + 2305. Factor 0*o**3 + d*o**4 + 0 + 3/2*o - 9/4*o**2.
3*o*(o - 1)**2*(o + 2)/4
Let z(k) be the third derivative of -k**9/25704 + k**8/14280 + k**3 - 7*k**2. Let m(y) be the first derivative of z(y). Factor m(x).
-2*x**4*(x - 1)/17
Suppose -15 = i - 6*i. Solve 10*g**2 + 12*g - i*g + 6*g + g**3 + 9 - 3*g**2 = 0.
-3, -1
Let u(w) be the second derivative of -4/3*w**2 + 14*w + 0 - 1/9*w**4 + 2/3*w**3. Factor u(s).
-4*(s - 2)*(s - 1)/3
Suppose 6*s - 19 = -19. Let n(m) be the second derivative of 0*m**3 - 8*m + 1/18*m**4 + 1/30*m**5 + s + 0*m**2. Factor n(g).
2*g**2*(g + 1)/3
Let c = 14 + 2. Let q = 19 - c. Determine i so that 1 - 1 - i**3 - i**q = 0.
0
Suppose 18 = -3*q + 5*q. Suppose -w - q = -4*w. Find u, given that -2*u**4 + 9*u**3 + w*u**3 - 8*u**2 + 0*u**4 - 20*u**3 = 0.
-2, 0
Let a(v) = v**5 + 330*v**4 - 2561*v**3 - 2890*v**2 - 11. Let x(q) = 66*q**4 - 512*q**3 - 578*q**2 - 2. Let t(o) = 2*a(o) - 11*x(o). What is r in t(r) = 0?
-1, 0, 17
Let h(u) be the first derivative of -3*u**6/2 - 24*u**5/5 + 9*u**4/4 + 12*u**3 - 6*u**2 - 23. Find l, given that h(l) = 0.
-2, 0, 1/3, 1
Let d(s) be the third derivative of s**6/180 - 7*s**5/90 + s**4/3 - 18*s**2. Factor d(v).
2*v*(v - 4)*(v - 3)/3
Let k = -250 - -255. Let a(r) be the third derivative of -4*r**2 + 0*r - 3/20*r**k + 0 - 2/3*r**3 - 5/6*r**4. Solve a(b) = 0.
-2, -2/9
Let o(r) be the second derivative of r**7/336 + 3*r**6/80 + 3*r**5/16 + 23*r**4/48 + 11*r**3/16 + 9*r**2/16 - 2*r + 47. Solve o(z) = 0 for z.
-3, -1
Suppose b - 445 = 5*j - 461, 0 = 2*j + 3*b - 3. Factor -1/2*