/3*f**2 - 256/3*f**4 - 2/3.
(f - 2)*(4*f + 1)**4/3
Let u be 1/(1 - (-6)/(-8)). Let d(s) be the second derivative of -s - 1/7*s**2 + 0 + 3/7*s**3 + 8/35*s**5 - 4/7*s**u. Factor d(g).
2*(g - 1)*(4*g - 1)**2/7
Let v be (-1 - 0)*(-6)/10. Factor -4/5 + v*s**2 + 4/5*s.
(s + 2)*(3*s - 2)/5
Let h(j) = 7*j**5 + 53*j**4 + 213*j**3 + 363*j**2 + 282*j + 82. Let r(v) = v**5 - v**4 - v**3 - v**2 + v + 1. Let x(s) = -h(s) + 2*r(s). Factor x(k).
-5*(k + 1)**3*(k + 4)**2
Let t(j) be the second derivative of 1/36*j**4 - 3*j + 0*j**3 + 0 - 1/60*j**5 + 0*j**2. Factor t(b).
-b**2*(b - 1)/3
Let x(n) be the second derivative of n**8/20160 + n**7/7560 - n**6/2160 - n**5/360 - n**4/3 - 5*n. Let d(r) be the third derivative of x(r). Factor d(m).
(m - 1)*(m + 1)**2/3
Factor -15*v**4 - 30*v**2 - 53*v**5 + 2 + 30*v**3 + 56*v**5 + 15*v - 5.
3*(v - 1)**5
Let b be (-2)/(-3) - (-13)/3. Let o(v) be the first derivative of 0*v**3 + 0*v**2 + 1/6*v**4 - 3 + 1/9*v**6 + 0*v + 4/15*v**b. Solve o(h) = 0.
-1, 0
Let o(h) be the second derivative of -h**5/40 - h**4/12 + h**3/4 - 8*h. Solve o(z) = 0 for z.
-3, 0, 1
Let b be -2 + -1 + 12/1. Find w such that 4 + 24*w**2 + 11*w - 4*w**4 - 8*w**3 - 12*w**5 - 24*w**4 + b*w = 0.
-1, -1/3, 1
Let s(c) be the third derivative of -c**9/12096 + c**7/1680 - c**5/480 + c**3/6 + 3*c**2. Let a(x) be the first derivative of s(x). Find q, given that a(q) = 0.
-1, 0, 1
Let j(v) be the second derivative of 1/66*v**4 + 0 + v - 1/11*v**3 + 2/11*v**2. What is y in j(y) = 0?
1, 2
Let y(a) be the second derivative of -1/40*a**5 + 0*a**2 + 5*a - 1/30*a**6 + 0*a**3 - 1/84*a**7 + 0*a**4 + 0. Factor y(x).
-x**3*(x + 1)**2/2
Factor 53*v + 0*v**2 - v**2 - 50*v - 11*v**2.
-3*v*(4*v - 1)
Factor 3/2 - 3/2*a**2 + 0*a.
-3*(a - 1)*(a + 1)/2
Let r(q) be the first derivative of -q**4/3 - 2*q**3/3 - q**2/3 + 1. Factor r(t).
-2*t*(t + 1)*(2*t + 1)/3
Let o(i) be the second derivative of -i**4/60 + i**2/10 - 6*i. Factor o(c).
-(c - 1)*(c + 1)/5
Let q(s) = -80*s**4 - 111*s**3 - 9*s**2 - 11*s + 11. Let b(t) = 16*t**4 + 22*t**3 + 2*t**2 + 2*t - 2. Let n(u) = 11*b(u) + 2*q(u). Factor n(x).
4*x**2*(x + 1)*(4*x + 1)
Let l be (9/4)/((-11)/44). Let t be 25/l + (3 - 0). Determine h, given that 0*h - t*h**2 + 0 = 0.
0
Let l(d) be the third derivative of -d**8/60480 - d**7/7560 + d**5/60 + 9*d**2. Let j(u) be the third derivative of l(u). Determine k, given that j(k) = 0.
-2, 0
Let t(a) = 8*a - 302. Let j be t(38). Find r, given that 1/5*r**5 + 3/5*r**3 - 1/5*r**j + 0 - 3/5*r**4 + 0*r = 0.
0, 1
Let o(a) be the first derivative of -6*a**5/25 + a**4/10 + 4*a**3/15 + 4. Let o(s) = 0. What is s?
-2/3, 0, 1
Let m(t) = -5*t**2 - 138*t - 978. Let w(v) = -135*v**2 - 3725*v - 26405. Let r(j) = -55*m(j) + 2*w(j). Factor r(d).
5*(d + 14)**2
Let q(j) be the third derivative of -j**5/390 - 5*j**4/156 + 2*j**3/13 - 42*j**2. Solve q(g) = 0.
-6, 1
Let a(z) be the second derivative of -z**5/30 + 5*z**4/36 - 2*z**3/9 - 2*z**2 - 3*z. Let p(t) be the first derivative of a(t). Find i, given that p(i) = 0.
2/3, 1
Let x = 4 - 1. Suppose 0 = x*q - 4*i + 6, q - 4*i + 5*i = 5. Factor 2/7*w + 0 - 2/7*w**q.
-2*w*(w - 1)/7
Let y(v) be the third derivative of v**8/5880 - 2*v**6/315 + 4*v**4/21 + v**3/3 + 4*v**2. Let k(h) be the first derivative of y(h). Factor k(n).
2*(n - 2)**2*(n + 2)**2/7
Let a(d) be the second derivative of -d**4/24 + d**3/12 + d**2/2 + 11*d. Factor a(x).
-(x - 2)*(x + 1)/2
Factor -2*q - 2/3*q**2 - 4/3.
-2*(q + 1)*(q + 2)/3
Factor -1/2*r**3 + 0 + 1/2*r**5 - 1/2*r**2 + 1/2*r**4 + 0*r.
r**2*(r - 1)*(r + 1)**2/2
Let v(x) be the third derivative of 0*x**5 - 2/105*x**7 + 0*x + 0*x**3 - 1/168*x**8 - 1/60*x**6 + 0 + 0*x**4 + x**2. Factor v(w).
-2*w**3*(w + 1)**2
Let b(j) be the first derivative of 0*j**3 + 7 + 1/24*j**4 - 1/15*j**5 + 0*j**2 + 1/36*j**6 + 0*j. Factor b(n).
n**3*(n - 1)**2/6
Let d(v) be the third derivative of -v**6/60 + v**5/30 + 5*v**4/12 + v**3 - 2*v**2 + 39. Factor d(h).
-2*(h - 3)*(h + 1)**2
Let t be -24*(0 - -2)/(-4). Factor 9*g**2 - 3*g**3 - 1 - t + 1.
-3*(g - 2)**2*(g + 1)
Let c(m) be the first derivative of -m**5/15 + m**4/3 - m**3/3 - 2*m**2/3 + 4*m/3 + 2. Factor c(b).
-(b - 2)**2*(b - 1)*(b + 1)/3
Let s(d) be the first derivative of 3*d**4/4 - 6*d**3 + 9*d**2/2 + 30*d - 10. Factor s(p).
3*(p - 5)*(p - 2)*(p + 1)
Let k(g) be the third derivative of -2*g**7/525 - g**6/50 - 2*g**5/75 - 9*g**2. Solve k(f) = 0 for f.
-2, -1, 0
Factor 0*p - 1/2 + 1/2*p**2.
(p - 1)*(p + 1)/2
Factor 0 - 1/5*h**2 - 3/5*h.
-h*(h + 3)/5
Let d = -52 - -52. Factor -16/3*i**2 + d + 2*i**3 - 8/3*i + 6*i**4.
2*i*(i - 1)*(3*i + 2)**2/3
Let u(y) = -15*y**4 - y**3 - 8*y**2 + 11*y. Let d(n) = 8*n**4 + 4*n**2 - 6*n. Let h(p) = -11*d(p) - 6*u(p). Factor h(x).
2*x**2*(x + 1)*(x + 2)
Let t(q) = -q - 1. Let r(s) = -2*s**3 + 12*s**2 + 11*s - 3. Let k(h) = 2*r(h) + 18*t(h). Factor k(j).
-4*(j - 6)*(j - 1)*(j + 1)
Let g(l) be the third derivative of 7*l**5/570 - l**4/19 - 4*l**3/57 - 2*l**2 - 6. Factor g(j).
2*(j - 2)*(7*j + 2)/19
Let j(x) be the first derivative of -x**6/36 - x**5/30 + 5*x**4/24 - x**3/6 + 24. Let j(f) = 0. Calculate f.
-3, 0, 1
Let r(z) be the first derivative of z**6/540 - z**5/30 + z**4/4 - 2*z**3 + 5. Let d(o) be the third derivative of r(o). Suppose d(k) = 0. What is k?
3
Let w(h) = -3*h - 27. Let t be w(-9). Suppose t*x + 0 + 1/2*x**2 - 1/4*x**4 - 1/4*x**3 = 0. What is x?
-2, 0, 1
Suppose 16 = -6*o + 2*o. Let u(p) = 2 - 4*p - 1 + 1 + 6*p**2. Let n(t) = t**2 - t + 1. Let m(i) = o*n(i) + u(i). What is d in m(d) = 0?
-1, 1
Let c(u) be the second derivative of -2*u**7/21 + 6*u**5/5 + 8*u**4/3 + 2*u**3 + u. Determine i, given that c(i) = 0.
-1, 0, 3
Let h = -21 + 14. Let c = -4 - h. Factor -5*k**c - 6*k**4 + 3*k**3 + 4*k**4.
-2*k**3*(k + 1)
Let a be ((-4)/3)/((-4)/6). Factor 3*y**3 + 3*y - 5*y - 5*y**3 + 4*y**a.
-2*y*(y - 1)**2
Let t(n) = -n. Let b(h) be the second derivative of 2*h + 2/3*h**4 - 1/4*h**5 - h**2 + 1/6*h**3 + 0. Let x(q) = -b(q) - 2*t(q). Let x(d) = 0. Calculate d.
-2/5, 1
Let i(c) be the second derivative of c**4/84 + 2*c**3/21 - 39*c. Solve i(k) = 0 for k.
-4, 0
Factor 4/3*y + 2/3*y**3 + 2*y**2 + 0.
2*y*(y + 1)*(y + 2)/3
Let a(f) be the third derivative of -f**6/120 - f**5/30 + f**4/6 + 4*f**3/3 - 20*f**2. Let a(s) = 0. Calculate s.
-2, 2
Let a(b) = 8*b**2 - 9*b - 5. Let x(v) = 7*v**2 - 8*v - 4. Let m(q) = -5*a(q) + 6*x(q). Factor m(i).
(i - 1)*(2*i - 1)
Let r(u) be the first derivative of u**3/9 - u/3 + 7. Factor r(z).
(z - 1)*(z + 1)/3
Let h(x) = -8*x + 8. Let k(f) = -3*f + 3. Let a(g) = 4*h(g) - 11*k(g). Let c(j) = 3*j**2 + 7*j. Let n(b) = -2*a(b) + c(b). Factor n(l).
(l + 1)*(3*l + 2)
Let m(u) be the third derivative of 1/32*u**4 + 0*u + 1/80*u**5 + 0 - 1/160*u**6 - 4*u**2 - 1/8*u**3. Let m(n) = 0. What is n?
-1, 1
Let k = -1452 + 13070/9. Find m, given that 2/9*m**2 + 0 + k*m**5 + 2/3*m**3 + 0*m + 2/3*m**4 = 0.
-1, 0
Let n(m) be the first derivative of -2 - 1/12*m**4 + 0*m**2 + 0*m - 2/9*m**3. Factor n(k).
-k**2*(k + 2)/3
Let a(p) be the third derivative of p**7/525 - p**6/150 + p**4/30 - p**3/15 - 6*p**2. Factor a(r).
2*(r - 1)**3*(r + 1)/5
Let r = -2/995 + 9956/2985. Solve -2/3*f**4 - 2*f**2 - r*f**3 + 6*f + 0 = 0 for f.
-3, 0, 1
Let z = 57086/45 + -10528/9. Let i = 100 - z. Factor 2/5*l**3 + 6/5*l + 2/5 + i*l**2.
2*(l + 1)**3/5
Let k be (-11)/2*212/(-583). Factor 38/9*l**k + 32/9*l**4 + 2/9 - 50/9*l**3 - 14/9*l - 8/9*l**5.
-2*(l - 1)**3*(2*l - 1)**2/9
Let q(f) be the second derivative of 2*f**7/21 - 2*f**6/5 - f**5 + f**4 + 8*f**3/3 - 8*f + 1. What is y in q(y) = 0?
-1, 0, 1, 4
Suppose -y + 80 = 3*y - 4*v, -3*y + 32 = 4*v. Suppose -5*z = -z + 20, 0 = 3*u + 5*z + y. Let 2*h - 2/5 - 6/5*h**2 - 18/5*h**u = 0. What is h?
-1, 1/3
Let w(u) = -u**2 - u - 4. Let a be 78/5 + (-12)/(-30). Suppose -2*o = -4 + a. Let p(m) = -m. Let d(r) = o*p(r) - 2*w(r). Factor d(t).
2*(t + 2)**2
Let s = -19 + 7. Let c(q) = 10*q**2 - 22*q - 12. Let w(a) = 4*a**2 - 9*a - 5. Let x(t) = s*w(t) + 5*c(t). Factor x(y).
2*y*(y - 1)
Let n be -1 - (-2)/(8/4). Let p(z) be the second derivative of n*z**2 - z + 0 + 5/48*z**4 - 1/12*z**3. Factor p(w).
w*(5*w - 2)/4
Let p = -5 - -8. Find x such that -x**4 + 3*x**4 + x**2 + 3*x**p - 4*x**2 + x - 3*x**4 = 0.
0, 1
Let i = 16 - 6. Suppose 2*b - i = -3*b. Factor -h**3 + 0