second derivative of 0 + 3/10*w**5 + 7*w + 9/2*w**2 - 2/3*w**4 - w**3 - 1/30*w**6. Find k, given that q(k) = 0.
-1, 1, 3
Let q(g) be the second derivative of 1/30*g**6 - 1/12*g**4 + 0*g**2 + g - 1/12*g**3 + 0*g**5 + 0 + 1/84*g**7. Factor q(l).
l*(l - 1)*(l + 1)**3/2
Factor -1/2 - 1/2*t**2 - t.
-(t + 1)**2/2
Factor 8/5*m + 4/5*m**3 + 12/5*m**2 + 0.
4*m*(m + 1)*(m + 2)/5
Let n(h) be the first derivative of -h**4/2 + 2*h**3/3 + 5*h**2 + 6*h - 17. Find x, given that n(x) = 0.
-1, 3
Let z(w) be the first derivative of 3*w**5/25 - 3*w**4/4 + 7*w**3/5 - 9*w**2/10 + 14. Let z(v) = 0. What is v?
0, 1, 3
Suppose -3*l - 14 = -2*r - l, -2*r = -3*l - 19. Let q(n) = -n**2 - 7*n - 4. Let v be q(-6). Factor 3*a**5 + v*a**4 - 2*a**5 + a**r + a**4 + 3*a**3.
a**2*(a + 1)**3
Let w(a) be the third derivative of -5*a**8/66 - 87*a**7/385 - 41*a**6/330 + a**5/6 + a**4/11 - 4*a**3/33 - 4*a**2. Solve w(i) = 0 for i.
-1, -2/5, 1/4, 2/7
Let l be 1 - (-5)/(-3) - (-4)/6. Suppose -f**3 + l*f + 4/3 - 7/3*f**2 = 0. What is f?
-2, -1, 2/3
Let y(r) be the third derivative of r**5/15 - r**4/6 - 9*r**2. Factor y(n).
4*n*(n - 1)
Let v = 35 - 27. Let k = 58/7 - v. Let -k*r**4 + 8/7*r**3 - 8/7*r**2 + 0 + 0*r = 0. What is r?
0, 2
Let w(z) be the second derivative of 0*z**2 - 4*z - 2/9*z**3 - 1/10*z**5 + 0 - 5/18*z**4. Factor w(d).
-2*d*(d + 1)*(3*d + 2)/3
Let p be 8/(-48) - 25/(-30). Factor 2*d**3 + 10/3*d**2 + 2/3*d - p.
2*(d + 1)**2*(3*d - 1)/3
Suppose -2*k + 3*k = -4*z + 18, 0 = -5*z - 3*k + 26. Let 1 + 8*f**2 + z - 1 + 18*f = 0. Calculate f.
-2, -1/4
Let d(y) be the third derivative of y**8/2184 - 4*y**7/1365 + y**6/156 - y**5/195 - 26*y**2. Let d(l) = 0. What is l?
0, 1, 2
Suppose -5*z + 21 = -9. Let o(r) = 3*r**3 - 2*r**2 - r + 2. Let p(h) = -25*h**3 + 17*h**2 + 7*h - 16. Let c(d) = z*p(d) + 51*o(d). Factor c(l).
3*(l - 1)**2*(l + 2)
Let n(i) be the second derivative of -1/3*i**2 - 1/18*i**3 + 0 + 2*i + 1/36*i**4. Factor n(w).
(w - 2)*(w + 1)/3
Suppose 2*l - 3 = -o, 5*l - o + 0*o - 11 = 0. What is w in 0 + 1/3*w + w**3 + w**l + 1/3*w**4 = 0?
-1, 0
Let p be (4/3)/(-4)*-1. Suppose -18*z = -37*z + 38. Factor -p*n - 1/6*n**z + 0.
-n*(n + 2)/6
Suppose 5*q + k + 4*k + 15 = 0, -5*q = -5*k - 15. Let f(d) be the third derivative of q*d + 1/24*d**4 + 3*d**2 - 1/120*d**5 - 1/12*d**3 + 0. Factor f(s).
-(s - 1)**2/2
Let l(f) be the first derivative of -1/30*f**5 + 0*f**2 + 1 + 2/3*f**3 + 0*f + 1/180*f**6 + 1/12*f**4. Let t(x) be the third derivative of l(x). Factor t(c).
2*(c - 1)**2
Let z(l) = 16*l**4 + 7*l**3 - 27*l**2 - 25*l - 7. Let i(f) = 5*f**4 + 2*f**3 - 9*f**2 - 8*f - 2. Suppose -6 = 3*m - 0. Let x(k) = m*z(k) + 7*i(k). Factor x(g).
3*g*(g - 2)*(g + 1)**2
Let f(c) be the third derivative of 3*c**2 + 0*c**4 + 0*c + 0 + 0*c**3 - 2/525*c**7 + 1/300*c**6 + 0*c**5 + 1/840*c**8. Factor f(k).
2*k**3*(k - 1)**2/5
Let l(p) = -6*p**4 - 6*p**3 + 7*p**2 + 5*p + 5. Let f(c) = -5*c**4 - 5*c**3 + 6*c**2 + 4*c + 4. Let v(d) = 5*f(d) - 4*l(d). Factor v(q).
-q**2*(q - 1)*(q + 2)
Let q(y) be the first derivative of 3*y**5/10 - y**4/8 - 13. Solve q(g) = 0.
0, 1/3
Let z(t) be the third derivative of t**2 - 1/120*t**5 + 1/3*t**3 + 0*t + 0 - 1/12*t**4 + 1/360*t**6. Let r(k) be the first derivative of z(k). Factor r(c).
(c - 2)*(c + 1)
Let f(o) = 1. Let w(d) = -10*d**3 - 34*d**2 - 32*d + 1. Let g(i) = -18*f(i) + 2*w(i). Factor g(t).
-4*(t + 1)*(t + 2)*(5*t + 2)
Let p(t) = -2*t**4 - 10*t**3 - 2*t**2 - 6*t - 4. Let v(w) = -4*w**4 - 19*w**3 - 5*w**2 - 11*w - 7. Let z(g) = -7*p(g) + 4*v(g). Factor z(x).
-2*x*(x + 1)**3
Determine z so that 0 - 2/7*z - 2/7*z**2 = 0.
-1, 0
Let w(c) be the first derivative of c**5/10 + c**4/3 + c**3/3 - 3*c + 2. Let d(m) be the first derivative of w(m). Let d(b) = 0. Calculate b.
-1, 0
Let m be 20/(-24)*4/(-15). Let v = 1/9 + m. Find b such that v*b**2 + 1/3*b**4 + 2/3*b**3 + 0 + 0*b = 0.
-1, 0
Let k(p) = p**2 + 8*p - 6. Let i be k(-9). Suppose 0 = -5*s + 4*n + 36, 5*n + 28 + 4 = i*s. Factor -1/2*t**s - 5/2*t**3 - 9/2*t**2 - 7/2*t - 1.
-(t + 1)**3*(t + 2)/2
Let l(f) = -9*f**5 - 13*f**4 + 5*f**3 + 13*f**2 + 4*f - 5. Let y(w) = 8*w**5 + 12*w**4 - 4*w**3 - 12*w**2 - 4*w + 4. Let s(p) = 4*l(p) + 5*y(p). Factor s(n).
4*n*(n - 1)*(n + 1)**3
Let u(r) be the third derivative of 2*r**2 + 0*r**5 + 0 + 0*r**3 - 1/20*r**6 + 0*r + 1/105*r**7 + 1/3*r**4. Determine k, given that u(k) = 0.
-1, 0, 2
Let z(g) be the second derivative of g**5/10 - g**4/3 - 12*g. Factor z(b).
2*b**2*(b - 2)
Let j(x) be the first derivative of -4*x**3/3 - 52*x**2/7 + 32*x/7 - 2. Factor j(g).
-4*(g + 4)*(7*g - 2)/7
Suppose -20 = -3*x - 2*x. Suppose z + i = 4*i + 4, 0 = x*z - 3*i - 16. Factor l**z - 2*l**4 + 2*l**3 - l + 1 - 3*l + 2*l.
-(l - 1)**3*(l + 1)
Factor 0*l**4 + l**4 + 4*l**4 - 15*l**3 + 20*l.
5*l*(l - 2)**2*(l + 1)
Let f be 2 + (-7 - -5)*1. Factor f*k**3 - 2/5*k**5 + 4/5*k**4 + 0 + 2/5*k - 4/5*k**2.
-2*k*(k - 1)**3*(k + 1)/5
Suppose 0 = m - 3*m + 4. Let 9*w**2 + 0 - 20*w + 4 + 0*w**m = 0. What is w?
2/9, 2
Let a(i) be the third derivative of -i**7/5040 + i**6/720 - i**4/12 + 3*i**2. Let y(t) be the second derivative of a(t). Let y(q) = 0. Calculate q.
0, 2
Let j = 57 + -54. Let x(z) be the second derivative of -1/54*z**4 + 0*z**2 + 0 + 2/27*z**j - z. Solve x(b) = 0.
0, 2
Let n(g) be the second derivative of 0 - 1/24*g**3 + 1/48*g**4 - 2*g + 0*g**2. Factor n(s).
s*(s - 1)/4
Suppose -3 - 12 = q + 5*t, -2*t = 2*q + 6. Factor q*u + 0 + 0*u**2 - 3/4*u**3.
-3*u**3/4
Let m(g) be the third derivative of g**5/12 - 5*g**3/6 - 11*g**2. Factor m(h).
5*(h - 1)*(h + 1)
Suppose -15 = -3*h, 2 - 46 = 4*l - 4*h. Let u(b) = -2*b**3 + 8*b**2 + 6. Let i(d) = -d**3 + 7*d**2 + 5. Let q(f) = l*i(f) + 5*u(f). Solve q(t) = 0.
-1/2, 0
Suppose 0 = q - 2*q - 5. Let k = 5 + q. What is d in k + 1/2*d**2 - 1/2*d**5 + 1/2*d**3 + 0*d - 1/2*d**4 = 0?
-1, 0, 1
Let l(k) = k**2 + k - 1. Let i(f) = f**4 - 2*f**3 + 9*f**2 + 8*f - 8. Let q(d) = -3*i(d) + 24*l(d). Factor q(t).
-3*t**2*(t - 1)**2
Let b = 16 + -12. Factor 2*v**2 + v + 10*v**3 - v**3 - 5*v**2 - 6*v**3 - v**b.
-v*(v - 1)**3
Suppose -5*y = -2*y + 3*m - 3, 0 = -4*m - 4. Factor -3 - 1 - 9*s**3 + 0*s**2 + 8*s + 3*s**y.
-(s + 1)*(3*s - 2)**2
Let y = -54 - -97. Let u = y + -41. Factor u*v**3 - 40/9*v**2 - 4/9 + 26/9*v.
2*(v - 1)**2*(9*v - 2)/9
Let a(j) be the first derivative of -2*j**3/15 - j**2 - 12*j/5 - 31. Find y, given that a(y) = 0.
-3, -2
Suppose -3/10*t + 0 + 1/10*t**2 = 0. What is t?
0, 3
Find m such that 6/5 + 19/5*m - 7/5*m**2 = 0.
-2/7, 3
Determine v so that -1445 - 18*v - 5*v**2 + 151*v + 37*v + 0*v**2 = 0.
17
Let c(j) = -j**5 + j**4 + 4*j**3 + 2*j**2 - 3*j + 1. Let s = 2 - 0. Let x(g) = 2*g**3 - g**4 + 5*g - 1 - 4*g - 3*g**3. Let f(q) = s*x(q) + c(q). Factor f(n).
-(n - 1)**2*(n + 1)**3
Let h(w) = w - 1 + 0*w + 3. Let g be h(0). Factor 2*l**g + l + 3*l - 1 - 3*l.
(l + 1)*(2*l - 1)
Let c(b) = -2*b**3 - 24*b**2 - 36*b - 2. Let l(m) = -7*m**3 - 96*m**2 - 144*m - 9. Let p(q) = -9*c(q) + 2*l(q). Factor p(h).
4*h*(h + 3)**2
Let a = 36 + -32. Factor 0 - 2/3*c**a + 0*c**3 + 0*c + 2/3*c**2.
-2*c**2*(c - 1)*(c + 1)/3
Solve 301*l + 2*l**4 + 288 + 32*l**3 + 323*l + 386*l**2 + 20*l**3 = 0.
-12, -1
Suppose 0 = -3*h + 2*q + 11, -12 = -4*h + q + 6. Let a be h/(-4)*18/(-45). Factor z**3 + 0 + 0*z + 1/2*z**4 + a*z**2.
z**2*(z + 1)**2/2
Let 3*f**5 + f + 3*f**3 - 4*f**4 - 11*f**2 + 0*f**3 - 7*f**5 + 15*f**2 = 0. What is f?
-1, -1/2, 0, 1
Let d(w) = w - 8. Let n be d(11). Factor -8*y + n*y + 3*y**2 - y + 3*y**3.
3*y*(y - 1)*(y + 2)
Let z be (10/(-45))/1 + 23/90. Let u(g) be the third derivative of 1/60*g**6 - 1/3*g**3 + z*g**5 - 1/12*g**4 + 0 + 0*g - 2*g**2. Determine a so that u(a) = 0.
-1, 1
Let j(i) be the third derivative of 3*i**2 + 0*i + 0 + 1/2*i**4 - 4*i**3 - 1/8*i**6 + 1/70*i**7 + 3/10*i**5. Factor j(a).
3*(a - 2)**3*(a + 1)
Let t(j) be the second derivative of j**7/42 - j**6/15 + j**4/6 - j**3/6 - 17*j. Factor t(o).
o*(o - 1)**3*(o + 1)
Let p(h) be the first derivative of 3*h**5/10 - 3*h**4/2 + 5*h**3/2 - 3*h**2/2 - 4. Determine g so that p(g) = 0.
0, 1, 2
Suppose -11*v**4 + 1/3*v**5 - 1331/3*v**2 + 121*v**3 + 0 + 0*v = 0. What is v?
0, 11
Factor 0*w**2 + 1/2*w**3 + 0 + 7/4*w**4 + 0*w.
w**3*(7*w + 2)/4
Let z(d) = -5*d**2 - 3*d**3 + 1 + 1 + 4*d**3. Let c be z(5). Find p, given that -4*p