the second derivative of f(t). Factor p(o).
(o + 1)**2*(7*o + 2)/5
Let j(n) = 5*n**5 - 21*n**4 + 21*n**3 - 5*n**2 - 13. Let v(q) = -q**5 + 5*q**4 - 5*q**3 + q**2 + 3. Let c(s) = -6*j(s) - 26*v(s). Factor c(z).
-4*z**2*(z - 1)*(z + 1)**2
Let v(t) = -7*t**4 + 7*t**3 + 8*t**2 - 6*t + 6. Let g(b) = 15*b**4 - 15*b**3 - 17*b**2 + 13*b - 13. Let u(p) = 6*g(p) + 13*v(p). Determine i so that u(i) = 0.
-1, 0, 2
Suppose 0 = -10*s + 2*s + 4*s. Let q(b) be the first derivative of 3/4*b**4 - 2 + 3/2*b**2 + s*b - 2*b**3. Factor q(c).
3*c*(c - 1)**2
Let c(h) be the second derivative of h**8/1848 - h**7/385 + h**6/330 - 5*h**2/2 + 5*h. Let x(d) be the first derivative of c(d). Factor x(k).
2*k**3*(k - 2)*(k - 1)/11
Let u be 1/(3/9) - 3. Suppose 18*w - 21*w = u. Let w*o + 0 - 2/3*o**2 = 0. Calculate o.
0
Let j(x) be the third derivative of 0 + 1/108*x**4 + 0*x**3 - x**2 + 0*x - 1/270*x**5. Find z, given that j(z) = 0.
0, 1
Let n = -15/19 - -311/57. Let -4/9 - 34/9*q**3 - 22/9*q - n*q**2 - 10/9*q**4 = 0. What is q?
-1, -2/5
Let u(j) be the third derivative of 5*j**6/24 - 37*j**5/12 + 55*j**4/6 - 10*j**3 - 25*j**2. Factor u(x).
5*(x - 6)*(x - 1)*(5*x - 2)
Determine r so that 6 + 0*r - 3/2*r**2 = 0.
-2, 2
Factor 2/3 - 1/3*l**2 + 1/3*l.
-(l - 2)*(l + 1)/3
Suppose -4*c = -f + 5 - 24, -55 = -5*c - 5*f. Let x(p) be the third derivative of 0 + 0*p**5 + 0*p**4 + 0*p**c + 1/70*p**7 + 3*p**2 + 0*p + 0*p**3. Factor x(y).
3*y**4
Let q(m) be the first derivative of m**4/12 - 2*m**3/9 + 5. Factor q(p).
p**2*(p - 2)/3
Factor -5/6*i + 1/6*i**2 + 2/3.
(i - 4)*(i - 1)/6
Let k(i) be the first derivative of -9*i**5/5 + 29*i**4/4 - 11*i**3 + 15*i**2/2 - 2*i + 11. Factor k(y).
-(y - 1)**3*(9*y - 2)
Solve 12*j**4 - 18*j**4 + 0*j**3 + 3*j**3 = 0 for j.
0, 1/2
Let w(n) be the second derivative of -n**7/23940 + n**6/3420 + n**4/12 - 2*n. Let m(r) be the third derivative of w(r). What is t in m(t) = 0?
0, 2
Let h(g) = g**5 + 32*g**4 + 57*g**3 - 29*g**2 - 64*g + 3. Let y(s) = 32*s**4 + 56*s**3 - 28*s**2 - 64*s + 4. Let q(l) = 4*h(l) - 3*y(l). Solve q(b) = 0 for b.
-4, -1, 0, 1
Let v = 229 + -225. Suppose -6 = 3*k - 5*m, 2*m = -0*k - k + 9. Find a such that 1/2*a**2 + 0 - a - 1/2*a**v + a**k = 0.
-1, 0, 1, 2
Let d(i) = -i + 10. Let p be d(8). Factor 2*j**2 - j**2 - j**2 - j**2 - 1 + p*j.
-(j - 1)**2
Let z(l) = -l**2 - 5*l - 4. Let c be z(-7). Let g be (6/27)/((-8)/c). Factor 3/2*m - g*m**2 + 0.
-m*(m - 3)/2
Determine u so that -2*u + 1/8*u**2 + 8 = 0.
8
Let y(f) = -4*f**2 + 20*f + 95. Let s(p) = 5*p**2 - 20*p - 94. Let o(i) = 5*s(i) + 6*y(i). Determine q so that o(q) = 0.
-10
Let g(z) be the first derivative of -2*z**3 + 3*z**2/2 + 3*z - 17. Let g(h) = 0. Calculate h.
-1/2, 1
Let p = -56069912/329 + 170425. Let y = 1/47 - p. Factor -y*t**2 - 2/7*t + 4/7.
-2*(t - 1)*(t + 2)/7
Let r(o) be the second derivative of -o**5/8 - 5*o**4/12 + 5*o**3/12 + 5*o**2/2 - 16*o. Suppose r(k) = 0. What is k?
-2, -1, 1
Let m be (7 - (-742)/(-105)) + (-4)/(-10). Let q(c) be the first derivative of -1/4*c**4 + 0*c + c**2 - m*c**3 - 3. Factor q(g).
-g*(g - 1)*(g + 2)
Let c(b) = b - 2*b + 3*b**2 - 4*b**2. Let a(j) = j. Let q(d) = -4*a(d) - 2*c(d). Factor q(x).
2*x*(x - 1)
Suppose -3*f - 5*o + 80 = -8*f, -2*f - 5*o - 46 = 0. Let g be 4/f - 796/(-180). Determine q so that -48/5*q**4 - 6/5*q**2 + 0*q + 0 + 33/5*q**3 + g*q**5 = 0.
0, 2/7, 1
Let w(u) = 23*u**3 + 6*u**2 - 17. Let s(z) = -6*z**3 + z + 1. Let h be s(-1). Let v(a) = 4*a**3 + a**2 - 3. Let r(p) = h*w(p) - 34*v(p). Factor r(d).
2*d**2*(d + 1)
Suppose 4*m - 26 = -5*h, h + 4*m = 3*h + 12. Suppose -2*i - i = -6. Factor 3*c - 3*c**i + c**3 + 0*c**h + 3 - 4.
(c - 1)**3
Let l(k) be the second derivative of -k**5/5 + k**4/3 - 10*k. Factor l(b).
-4*b**2*(b - 1)
Let c(z) be the first derivative of 10*z**3/3 - 15*z**2/2 - 10*z - 7. Factor c(b).
5*(b - 2)*(2*b + 1)
Suppose -v = -5*v - v. Determine h, given that v + 5/4*h**3 + h + 2*h**2 + 1/4*h**4 = 0.
-2, -1, 0
Determine f so that -4/3 - 1/3*f**3 + 0*f + f**2 = 0.
-1, 2
Factor i**3 - 3*i**3 - 6*i + 6*i.
-2*i**3
Let u = 1469/3 + -489. Factor -4/3*r**2 + 5/3*r + 1/3*r**3 - u.
(r - 2)*(r - 1)**2/3
Let j(z) be the first derivative of -z**4 - 8*z**3/3 - 2*z**2 - 5. Factor j(t).
-4*t*(t + 1)**2
Let d(i) be the first derivative of 0*i**2 + 1/40*i**5 + 1/3*i**3 - 2 - 2*i + 1/6*i**4. Let b(n) be the first derivative of d(n). Let b(m) = 0. What is m?
-2, 0
Let o(j) be the second derivative of 1/4*j**2 - 4*j + 0*j**3 + 0 + 0*j**5 - 1/12*j**4 + 1/60*j**6. Find p such that o(p) = 0.
-1, 1
Determine w, given that -8/5*w**3 - 12/5*w**2 - 2/5 - 2/5*w**4 - 8/5*w = 0.
-1
Let t be 0 + (0 - 1)*-2. Let r(f) = f**2 - f. Let s be r(2). Factor -t*k + s*k**5 + 2*k + 2*k**4.
2*k**4*(k + 1)
Let v(m) be the third derivative of -m**6/60 - m**5/30 - 5*m**2. Let v(i) = 0. Calculate i.
-1, 0
Let s = -435 - -2177/5. Find u such that 0 + s*u**2 + 6/5*u = 0.
-3, 0
Factor 3/5*i**2 + 12/5*i + 12/5.
3*(i + 2)**2/5
Let s be ((-3)/(-2))/(3/52). Let n = s - 23. What is o in -o**n + 0 + 1/2*o**4 + 0*o + 1/2*o**2 = 0?
0, 1
Find b, given that 14/9*b - 8/9*b**2 + 4/9 = 0.
-1/4, 2
Suppose -5*i - 3*d + 23 = 0, -3*d = -3*i + 4*i - 7. Let -5*t**4 + 0*t**3 + t**4 - i*t - 4*t**5 + 8*t**3 - 4 + 8*t**2 = 0. Calculate t.
-1, 1
Let v(c) be the second derivative of -7*c + 1/3*c**4 + 0*c**2 + 0 + 2*c**3. Factor v(l).
4*l*(l + 3)
Let i(l) = -l**2 + 3*l. Let t be i(2). Suppose t*u + u = 6. Let -2*d**3 + d**u + 0*d**2 + 3*d**3 = 0. Calculate d.
-1, 0
Let r(s) be the first derivative of 0*s + 2 - 7/12*s**4 - 1/3*s**2 - s**3. Let r(q) = 0. What is q?
-1, -2/7, 0
Let u(h) be the third derivative of -h**8/336 - h**7/70 + h**6/60 + h**5/10 - h**4/24 - h**3/2 - 4*h**2. Let u(p) = 0. Calculate p.
-3, -1, 1
Factor -6/7*s**2 + 10/7*s - 4/7.
-2*(s - 1)*(3*s - 2)/7
Let i(m) be the second derivative of m**5/250 - m**3/25 + 2*m**2/25 - 12*m. Determine d so that i(d) = 0.
-2, 1
Let y(p) be the third derivative of -1/50*p**6 + 0*p + p**2 + 11/40*p**4 + 1/5*p**3 - 8/175*p**7 + 7/50*p**5 + 0 - 1/80*p**8. Let y(g) = 0. Calculate g.
-1, -2/7, 1
Let m = 1 - 6. Let t(y) = y**5 - 7*y**4 + 3*y**3 - 5*y**2 + 4*y. Let j(g) = -g**5 + 8*g**4 - 3*g**3 + 6*g**2 - 5*g. Let w(r) = m*t(r) - 4*j(r). Factor w(o).
-o**2*(o - 1)**3
Let y(h) be the first derivative of -h**8/1680 + h**7/525 - h**5/150 + h**4/120 + 2*h**2 - 1. Let p(t) be the second derivative of y(t). Solve p(d) = 0 for d.
-1, 0, 1
Let p = -45 - -48. Let m(f) be the third derivative of -1/132*f**4 - 2/33*f**p + 0*f + 0 + f**2 + 1/330*f**5. Factor m(b).
2*(b - 2)*(b + 1)/11
Let y(n) = -2*n**2 - 8*n - 8 - 2*n**2 - 4*n**2. Let s(x) = x**2 + x. Let u(i) = 12*s(i) + y(i). Solve u(m) = 0 for m.
-2, 1
Let c = -19 + 24. Suppose 2*r - 5*i + 1 = -2*r, 5*r + 3*i - 45 = 0. Find f such that -r*f**4 + 2*f**4 - 2*f**c + 0*f**3 - 2*f**3 = 0.
-1, 0
Let f(l) be the second derivative of -2*l**7/147 + 2*l**6/15 - 18*l**5/35 + 20*l**4/21 - 16*l**3/21 - 14*l. What is i in f(i) = 0?
0, 1, 2
Let d = 7 + -5. Factor -2*g**3 - 5 - g + g + 7 + d*g - 2*g**2.
-2*(g - 1)*(g + 1)**2
Let z(p) be the first derivative of 1/5*p**2 + 0*p - 4 - 2/15*p**3. What is h in z(h) = 0?
0, 1
Let r be (1 - 0)/(1/57). Factor 118*c**4 + 22*c + 54*c**5 + 180*c**3 - 13*c**4 + 92*c**2 + r*c**4 + 1 + 1.
2*(c + 1)**2*(3*c + 1)**3
Let c = -2/113 - -248/1243. Find o, given that 0 - 12/11*o**3 + 8/11*o**4 + 8/11*o**2 - c*o - 2/11*o**5 = 0.
0, 1
Let o(c) be the third derivative of -5*c**7/126 - c**6/9 + c**5/4 + 5*c**4/9 - 10*c**3/9 - 8*c**2. Solve o(j) = 0 for j.
-2, -1, 2/5, 1
Let s = -4 + 6. Solve -d**3 + 3*d - 3 + d + d - d**s = 0.
-3, 1
Let m be (-847)/(-165) + 4/(-30). Let q(c) be the third derivative of 0*c**3 + 0*c - 2*c**2 + 1/30*c**4 - 1/150*c**m + 0. Find y such that q(y) = 0.
0, 2
Let j(c) be the first derivative of 5*c**3/3 + 20*c**2 + 80*c + 5. Factor j(q).
5*(q + 4)**2
Suppose 0 = -5*f - z + 12, 2*f + 6*z - 4*z = 8. Factor 0 + 1/8*u + 1/8*u**f.
u*(u + 1)/8
Let v(t) be the first derivative of 4*t**6/9 + 26*t**5/15 + 5*t**4/2 + 14*t**3/9 + t**2/3 + 44. Factor v(k).
2*k*(k + 1)**3*(4*k + 1)/3
Let d(p) be the third derivative of 2*p**7/945 - p**6/54 + 4*p**5/135 - 30*p**2. Factor d(y).
4*y**2*(y - 4)*(y - 1)/9
Let s(u) = -u**2 - 8. Let o(n) = -3*n - 1. Let q be (-18)/8*2*2. Let g(i) = 7*i 