ative of -f**8/2240 + f**6/240 - f**4/3 + 4*f**2. Let q(d) be the second derivative of c(d). Factor q(y).
-3*y*(y - 1)*(y + 1)
Let f = 1/6 + 1/3. Let d(l) be the first derivative of 1/3*l - 4/9*l**3 - 3 + f*l**2. Factor d(i).
-(i - 1)*(4*i + 1)/3
Let n(b) = b**3 + 7*b**2 - 6*b + 4. Let u(s) = 8*s**2 - 7*s + 5. Let c(w) = 5*n(w) - 4*u(w). Let c(y) = 0. Calculate y.
-1, 0, 2/5
Let a(r) = -28*r**3 - 62*r**2 - 11*r + 8. Let i(t) = t. Let w be (3/(-2))/((-1)/2). Let g(j) = w*i(j) + a(j). Factor g(l).
-2*(l + 2)*(2*l + 1)*(7*l - 2)
Let u = 309 + -7415/24. Let k(t) be the second derivative of 0*t**2 - 1/48*t**4 - t - u*t**3 + 0. Determine g so that k(g) = 0.
-1, 0
Let j(c) be the third derivative of c**5/105 + 11*c**4/42 - 8*c**3/7 + 22*c**2. Solve j(g) = 0 for g.
-12, 1
Factor 2*n**2 + 48/11*n - 72/11 + 2/11*n**3.
2*(n - 1)*(n + 6)**2/11
Let y(k) be the third derivative of k**6/60 + k**5/30 - 8*k**2. Suppose y(h) = 0. What is h?
-1, 0
Find c such that -2*c - 12/7 + 2/7*c**3 + 0*c**2 = 0.
-2, -1, 3
Let x = -329/234 + 19/13. Let a(z) be the third derivative of 1/36*z**4 + z**2 + 0*z - x*z**3 - 1/180*z**5 + 0. Factor a(m).
-(m - 1)**2/3
Let r(x) be the second derivative of 49*x**6/6 - 5*x**4/3 - 4*x. Factor r(c).
5*c**2*(7*c - 2)*(7*c + 2)
Let f(c) = c**2 - 3*c - 2. Let w be f(-1). Let b be 5/w*11/55. Let 0 - b*v - 2*v**2 = 0. What is v?
-1/4, 0
Let v(q) be the second derivative of q**4/6 + 8*q**3/3 + 16*q**2 - 7*q. Find i, given that v(i) = 0.
-4
Let h(y) be the first derivative of -8*y**5/5 + 5*y**4 - 8*y**3/3 + 9. Solve h(g) = 0.
0, 1/2, 2
Let t(z) be the third derivative of z**8/336 - z**7/70 + z**6/60 + z**5/30 - z**4/8 + z**3/6 - 16*z**2. Find d, given that t(d) = 0.
-1, 1
Let c(y) be the first derivative of y**5/15 - 4*y**2 + 3. Let u(o) be the second derivative of c(o). Find h such that u(h) = 0.
0
Let r(l) be the first derivative of l**6/360 + 2*l**3/3 - 3. Let u(q) be the third derivative of r(q). Factor u(f).
f**2
Factor -32/5*q**4 + 88/5*q**3 + 36/5*q - 96/5*q**2 + 4/5*q**5 + 0.
4*q*(q - 3)**2*(q - 1)**2/5
Let z(u) = 4*u**3 - 8*u**2 - 4*u. Let c(m) = m**4 - 9*m**3 + 17*m**2 + 9*m. Let x(i) = -4*c(i) - 9*z(i). Factor x(b).
-4*b**2*(b - 1)*(b + 1)
Let s(m) be the third derivative of 9*m**5/140 - m**4/28 + 5*m**2. Solve s(b) = 0 for b.
0, 2/9
Suppose -91*y**2 + 14*y**4 - 34*y + 49/2*y**5 - 143/2*y**3 - 4 = 0. What is y?
-1, -2/7, 2
Let z(c) be the third derivative of -c**6/2340 - c**5/195 - c**4/39 - 5*c**3/6 + 3*c**2. Let r(x) be the first derivative of z(x). Find u, given that r(u) = 0.
-2
Let p be 7 + -4 - (-2)/2. Suppose p*q - 10 - 2 = 0. Let -n + q + 0 - n - 4 - n**2 = 0. Calculate n.
-1
Let j be 26/143 - 249/1430. Let k(c) be the second derivative of 0*c**3 - j*c**5 + 0 + c - 1/26*c**4 + 4/13*c**2. Factor k(l).
-2*(l - 1)*(l + 2)**2/13
Let z(i) be the first derivative of -9*i**4/4 + 8*i**3 - 21*i**2/2 + 6*i + 10. Suppose z(c) = 0. Calculate c.
2/3, 1
Factor -6/7*d**3 - 2/7*d + 6/7*d**2 + 2/7*d**4 + 0.
2*d*(d - 1)**3/7
Let v(i) = 8*i**5 - 24*i**4 - 20*i**3 + 12*i**2. Let g(s) = s**5 + s**4 + s**3 + s**2. Let u(m) = 4*g(m) + v(m). Let u(y) = 0. Calculate y.
-1, 0, 2/3, 2
Let c(a) = a - 6. Let g be c(6). Find m such that -2/5*m**4 + 2/5*m**3 - 2/5*m + g + 2/5*m**2 = 0.
-1, 0, 1
Let s(o) be the third derivative of o**6/240 - o**4/16 + o**3/6 + 13*o**2. Find g, given that s(g) = 0.
-2, 1
Let y(b) = -b**2 + 3*b + 18. Let p be y(6). Let t be (-4)/(-6)*(2 + 1). Find l such that 1/4*l**4 - 1/4*l**t + 1/4*l - 1/4*l**3 + p = 0.
-1, 0, 1
Let v(y) = y + 6. Let i be v(6). Let o = i - 12. Factor 1/4*p**2 + o + 1/4*p.
p*(p + 1)/4
Let k(i) be the third derivative of i**7/245 - i**6/140 - i**5/35 - i**2. Factor k(q).
6*q**2*(q - 2)*(q + 1)/7
Let p(m) be the third derivative of -1/8*m**4 + 0*m**3 + 0 + 0*m**5 + 0*m + 1/20*m**6 - 1/112*m**8 + 0*m**7 + 4*m**2. Determine i so that p(i) = 0.
-1, 0, 1
Let l(p) = -7*p**2 + 3*p - 1. Let k(u) = 8*u**2 - 4*u + 2. Let g(b) = 5*k(b) + 6*l(b). Factor g(n).
-2*(n - 1)*(n + 2)
Let m(s) be the second derivative of s**4/42 - 4*s**3/21 + 3*s**2/7 + 9*s. Solve m(u) = 0 for u.
1, 3
Let r = -4 - -6. Suppose -5*x - 4*g - 3 = -1, -r*x - 5 = 3*g. Factor 7*z**2 + 2 - 7*z**x - 8*z**3 + 12*z**2 - 8*z + 2*z**4.
2*(z - 1)**4
Let p(v) be the first derivative of -v**4/18 + v**2/9 - 1. Let p(o) = 0. What is o?
-1, 0, 1
Let -21*a + 11*a**2 + 21*a**3 + 6 - 27*a**2 + 10*a**2 = 0. What is a?
-1, 2/7, 1
Let w be 42/(-112) - 57/(-24). Factor -3/2*o**4 - 27/2*o**w + 15/2*o**3 + 21/2*o - 3.
-3*(o - 2)*(o - 1)**3/2
Suppose -3*s + 45 = 6*s. Let z(b) be the second derivative of 2/165*b**6 + 0 + 0*b**2 + 1/231*b**7 + 0*b**4 + 0*b**3 - b + 1/110*b**s. Solve z(o) = 0 for o.
-1, 0
Let v(t) be the second derivative of t**7/63 + 2*t**6/45 + t**5/30 - 31*t. Suppose v(a) = 0. What is a?
-1, 0
Suppose -2*k + 5*k + 9 = 2*s, -4*s = 4*k - 8. Let g(a) be the first derivative of -1/12*a**4 + 1 - 1/3*a**s - 1/3*a - 1/2*a**2. Solve g(d) = 0 for d.
-1
Let o(f) be the first derivative of -f**6/54 + f**5/15 - f**4/18 - 2*f**3/27 + f**2/6 - f/9 + 22. Determine w so that o(w) = 0.
-1, 1
Factor 3/5*x**2 + 9*x - 48/5.
3*(x - 1)*(x + 16)/5
Let q(l) be the third derivative of -l**5/330 - l**4/44 + 4*l**3/33 + 15*l**2. Factor q(j).
-2*(j - 1)*(j + 4)/11
Solve -2/15 - 2/5*n**2 - 2/15*n**3 - 2/5*n = 0.
-1
Let u(b) = -b**3 + 4*b**2 + 5*b - 18. Let v be u(4). Factor 8/3*k + 0 + 2/3*k**5 + 8/3*k**2 - v*k**3 - 4/3*k**4.
2*k*(k - 2)**2*(k + 1)**2/3
Suppose -2 = 3*i - 8. Factor -4*j + 7*j - j**3 + 3*j**2 - i*j**3 - 3 + 0*j**3.
-3*(j - 1)**2*(j + 1)
Suppose -2*g + 8 = -0. Suppose 4*d = -g, 3*l + 0*d = 3*d + 9. Factor 0 + 0*t - 2/9*t**l.
-2*t**2/9
Let z(c) = c**3 - 4*c**2 - 5*c + 2. Let s be z(5). Factor 10*w**2 - 10*w**s + w**3.
w**3
Suppose 3*j - 24 = -5*o + o, 5*o - 3 = 3*j. Factor 4*k**3 + 5*k**4 - 8*k**4 - k**j.
-4*k**3*(k - 1)
Let d = -19 - -19. Factor -4/3*k**2 + 1/3*k**3 + d + 4/3*k.
k*(k - 2)**2/3
Solve -8/5*k + 0 - 24/5*k**2 - 2*k**3 = 0 for k.
-2, -2/5, 0
Suppose -f + 5*f = 0. Suppose o - 4*n - 4 = -f*n, 0 = -3*o + 5*n + 19. Factor -8 + o - v - v**3 + 2*v**2.
-v*(v - 1)**2
Find c such that 1/3*c**4 + 0 + 0*c**2 - 1/3*c**3 + 0*c = 0.
0, 1
Let t(w) = -w**4 - 2*w**3 - 2*w**2. Let q(u) = 2*u**4 + 3*u**3 + 3*u**2. Let f(i) = 2*q(i) + 3*t(i). Determine r so that f(r) = 0.
0
Solve 2/3*n**2 - 2/3*n + 0 = 0.
0, 1
Let t(m) be the second derivative of 1/12*m**4 - 1/18*m**3 + 0 + 1/90*m**6 + 0*m**2 + 2*m - 1/20*m**5. Determine o, given that t(o) = 0.
0, 1
Let f(z) be the first derivative of -1/14*z**5 + 2 - 3/7*z**3 + 2/7*z**2 + 2/7*z**4 + 3*z. Let w(o) be the first derivative of f(o). Factor w(k).
-2*(k - 1)**2*(5*k - 2)/7
Factor -27*f + 41*f - 3*f**3 + 9*f**2 - 20*f.
-3*f*(f - 2)*(f - 1)
Let p be 6*((-13)/(-2) - 3). Let o be (3 + -9)*(-1)/p. Suppose 2/7*x**2 - o*x**5 + 0*x + 2/7*x**3 - 2/7*x**4 + 0 = 0. Calculate x.
-1, 0, 1
Suppose -15 = -2*k - 9. Factor -x**k + 5/2*x**4 + 3/2*x**5 - 3*x**2 + 1/2 - 1/2*x.
(x - 1)*(x + 1)**3*(3*x - 1)/2
Let p(n) = -8*n**3 - 16*n**2 + 8*n + 16. Let d(u) = 20*u**3 + 40*u**2 - 20*u - 40. Let c(s) = -5*d(s) - 12*p(s). Find i, given that c(i) = 0.
-2, -1, 1
Factor 3*p**3 - 33*p**2 + 35*p**2 - p**3 + 0*p**3.
2*p**2*(p + 1)
Let f be (7/14)/((-1)/2). Let u(d) = -6*d**4 - 2*d**3 - 2*d**2 - 6*d + 4. Let z(r) = -r**4 - r**3 - r**2 - r + 1. Let t(i) = f*u(i) + 4*z(i). Factor t(a).
2*a*(a - 1)**2*(a + 1)
Suppose -4*c + 7*c = -2*g + 12, -5*c - 2*g + 20 = 0. Let z be ((-3)/c)/((-36)/24). Suppose 1/2*p**3 - 1/2*p**2 + 1/2*p**4 + 0 + 0*p - z*p**5 = 0. What is p?
-1, 0, 1
Suppose -3*v - r + 18 = 3*r, v + 3*r = 11. Determine l, given that l**3 - 3*l - 4*l**2 + v + l**2 + 3*l**2 = 0.
-2, 1
Let c(n) be the third derivative of n**8/2184 - n**6/260 + n**5/195 + n**2 + 15*n. Factor c(y).
2*y**2*(y - 1)**2*(y + 2)/13
Let k be ((-15)/(-2))/5*(-8)/(-42). Suppose -2/7 - 4/7*n - k*n**2 = 0. What is n?
-1
Suppose -8 = -4*o - 0. Suppose o*c + 6 = 4*c. Factor -2/9*a**c - 2/3*a**2 - 2/9 - 2/3*a.
-2*(a + 1)**3/9
Suppose -5*t = -72 + 62. Determine k, given that 8/5 + 2/5*k**t - 8/5*k = 0.
2
Let s(l) be the first derivative of 15*l**4/16 - 25*l**3/12 + 5*l**2/4 + 18. Factor s(n).
5*n*(n - 1)*(3*n - 2)/4
Let f(m) = 2*m**3 - 3*m**2 - 2. Let k(i) = -i**3 + 2*i**2 - i + 2. Let d(z) 