e second derivative of -3/20*c**5 - 1/10*c**6 - 1/42*c**7 - 1/12*c**4 + 0*c**3 + 0*c**2 + 0 + 3*c. Let g(h) = 0. Calculate h.
-1, 0
Let d be ((-8018)/44)/(1/(-4)). Let v = -728 + d. Let 10/11*h**4 + 4/11*h**3 - v*h**2 - 4/11*h + 0 = 0. What is h?
-1, -2/5, 0, 1
Let h = 8 - 3. Factor 4*k**5 - 4*k**4 + k**h + 2*k**4 - 7*k**5.
-2*k**4*(k + 1)
Let a be 1/4*(-12)/15*-2. What is r in 0*r**3 + 2/5 - 4/5*r**2 + 0*r + a*r**4 = 0?
-1, 1
Factor -2/5*q**4 + 0 + 3/5*q**2 + 2/5*q - 3/5*q**3.
-q*(q - 1)*(q + 2)*(2*q + 1)/5
Let c(p) be the third derivative of 0*p**6 + 0*p**3 + 0 - 1/195*p**5 - 1/156*p**4 + 2/1365*p**7 + 5*p**2 + 1/2184*p**8 + 0*p. Factor c(f).
2*f*(f - 1)*(f + 1)**3/13
Let q(x) be the second derivative of -4/9*x**3 + 2/9*x**4 - 1/30*x**5 + 0 + 0*x**2 - 6*x. Factor q(k).
-2*k*(k - 2)**2/3
Let t(y) be the third derivative of y**5/60 - y**4/4 + 5*y**3/6 + y**2. Let a be t(5). Factor 1/4*l**5 - 1/4*l**4 + 0*l**3 + a + 0*l + 0*l**2.
l**4*(l - 1)/4
Let r = 16 + -8. Let x(s) be the third derivative of 1/1344*s**r + 0*s**4 + 1/480*s**6 + 0*s + 0*s**3 + 2*s**2 - 1/420*s**7 + 0 + 0*s**5. Factor x(n).
n**3*(n - 1)**2/4
Suppose 0 = -4*g - 3*v - 0*v - 9, -4*g + 5*v = -15. Suppose 0 = -u + m + 3, -5*u + 14 + g = -4*m. Solve 0*o**2 - 2*o**u - 3*o + o = 0 for o.
-1, 0
Let y(m) be the second derivative of -1/9*m**6 - 4*m + 0 + 3/10*m**5 - 7/18*m**4 + 0*m**2 + 2/9*m**3 + 1/63*m**7. What is x in y(x) = 0?
0, 1, 2
Let n(t) be the second derivative of -t**7/210 - t**6/180 + t**5/180 + t**2 - 4*t. Let v(d) be the first derivative of n(d). Factor v(o).
-o**2*(o + 1)*(3*o - 1)/3
Suppose 9*x + 10 = 14*x. Solve 13*w**2 + 0*w + 6*w - 9*w**x - 2*w**3 = 0 for w.
-1, 0, 3
Factor 2/13*b**4 + 8/13 + 24/13*b + 2*b**2 + 12/13*b**3.
2*(b + 1)**2*(b + 2)**2/13
Factor -2/3*r**3 + 2/9*r**4 + 0*r**2 + 8/9*r + 0.
2*r*(r - 2)**2*(r + 1)/9
Determine c, given that -33/7*c**2 - 24/7*c + 12/7 - 9/7*c**3 = 0.
-2, 1/3
Suppose 9*z - 12 = 6. Factor 0 + 0*s + 2/7*s**z.
2*s**2/7
Suppose 5*r - 77 + 57 = 0. Let c(w) be the third derivative of w**2 + 0*w + 0 - 1/300*w**6 + 0*w**3 - 1/60*w**r + 1/75*w**5. Factor c(s).
-2*s*(s - 1)**2/5
Let a(i) be the second derivative of -1/25*i**6 + 0*i**3 + 0*i**4 + 0*i**2 + 2*i + 1/70*i**7 + 0 + 3/100*i**5. Let a(g) = 0. Calculate g.
0, 1
Suppose -17*w = -3*w + w. Factor 2/3*x**4 - 1/6*x**2 + 0 - 1/2*x**3 + w*x.
x**2*(x - 1)*(4*x + 1)/6
Let r(h) = -3*h + 1. Let z be r(-5). Suppose 4*p - z = 4*n, -n = 2*n + 5*p - 20. Solve n*k + 2/3 - 2/3*k**2 = 0 for k.
-1, 1
Let -5*g - 49 - 2*g**2 + g + 49 = 0. Calculate g.
-2, 0
Let y(n) = 9*n**2 - 15*n + 11. Let x(c) = -8*c**2 + 14*c - 10. Let t(w) = 5*x(w) + 4*y(w). Factor t(b).
-2*(b - 1)*(2*b - 3)
Factor 0 + q**2 - 2/5*q + 1/5*q**5 - 3/5*q**3 - 1/5*q**4.
q*(q - 1)**3*(q + 2)/5
Let d be 35/15 - (-2)/3. Factor 1/3*g**d + 0 + 1/3*g - 2/3*g**2.
g*(g - 1)**2/3
Let i(k) be the second derivative of -k**6/45 + k**5/5 - k**4/2 + 4*k**3/9 + k + 22. Suppose i(o) = 0. Calculate o.
0, 1, 4
Let x(l) be the second derivative of -1/6*l**2 - 1/126*l**7 + 4*l + 1/30*l**5 - 1/18*l**3 + 1/18*l**4 + 0 - 1/90*l**6. Factor x(s).
-(s - 1)**2*(s + 1)**3/3
Let u(k) = 3*k**5 + 8*k**4 + 15*k**3 + 6*k**2. Let b = 31 + -58. Let p(y) = 21*y**5 + 57*y**4 + 105*y**3 + 42*y**2. Let q(i) = b*u(i) + 4*p(i). Factor q(s).
3*s**2*(s + 1)**2*(s + 2)
Suppose 0 = 5*q + 9 - 44. Let z(h) be the third derivative of -1/1680*h**8 + 0*h + 0 + 1/600*h**6 + 0*h**4 + 0*h**3 + 0*h**5 + 0*h**q - h**2. Factor z(b).
-b**3*(b - 1)*(b + 1)/5
Let g(s) be the second derivative of s**4/12 + 4*s**3/3 + 8*s**2 + 21*s. Factor g(x).
(x + 4)**2
Suppose 0 = 5*a + 73 - 8. Let j(r) = -r**2 - 12*r + 16. Let d be j(a). Factor -6/7*g**d - 2/7*g + 10/7*g**2 - 18/7*g**4 + 0.
-2*g*(g + 1)*(3*g - 1)**2/7
Suppose -147/8*f**3 - 243/4 - 9/8*f**4 + 1107/8*f - 465/8*f**2 = 0. Calculate f.
-9, 2/3, 1
Let n be 26/(-117) + (-6)/(-27). What is z in 0 + n*z + 2/11*z**2 = 0?
0
Suppose 3*u - 3*i + 0 + 6 = 0, 3*u = -5*i + 26. Let 2*n**2 - 7*n**2 - 4*n**3 + 8*n**4 + n**u = 0. Calculate n.
-1/2, 0, 1
Let x(j) be the first derivative of 0*j - 3/10*j**2 - 4 - 3/20*j**4 + 2/5*j**3. Suppose x(n) = 0. What is n?
0, 1
Solve -2/7*q + 0 - 2/7*q**3 - 4/7*q**2 = 0 for q.
-1, 0
Suppose -p = -2*i, 2*p = 3 + 5. Let t be (10/(-8))/((-6)/24). Solve o**i + 5*o**2 + 0 - 3 - t + 8*o = 0 for o.
-2, 2/3
Let k(q) be the second derivative of q**9/60480 + q**8/6720 + q**7/3360 - q**4/2 + q. Let f(n) be the third derivative of k(n). Factor f(t).
t**2*(t + 1)*(t + 3)/4
Suppose 0 - 6 = -2*w. Suppose 0 = -v - 3*v + w*f + 26, f + 12 = 2*v. Factor 5 + v*l**2 - 5 - 2*l.
l*(5*l - 2)
Let w be 2/9 - 18/(-243)*24. Suppose -5/3*p**w - 7/3*p + 2/3 + 4/3*p**3 = 0. Calculate p.
-1, 1/4, 2
Let u(n) be the first derivative of 10*n**3/9 + 7*n**2/3 + 4*n/3 - 40. Factor u(h).
2*(h + 1)*(5*h + 2)/3
Let w be (-3)/(3/1) - 5. Let k be (2 - (-20)/w)*-3. Determine z, given that 31*z**4 + 7*z**3 - 28*z**5 - 4*z**k - 3*z - 29*z**2 + 24*z**3 + 2 = 0.
-1, -2/7, 1/4, 1
Let v(j) be the first derivative of j**8/840 + j**7/105 + j**6/30 + j**5/15 + j**4/12 - j**3 - 3. Let p(u) be the third derivative of v(u). Factor p(f).
2*(f + 1)**4
Let h(p) be the third derivative of -2*p**7/525 - p**6/150 + 8*p**5/75 + 2*p**4/5 + p**2 - 8*p. Let h(g) = 0. What is g?
-2, 0, 3
Let n be (-120)/(-16)*8/(-10). Let s = -4 - n. Factor 1 - q**s + 4*q**3 - q - 3*q**3 + 0*q**2.
(q - 1)**2*(q + 1)
Let m be 1 + -3 + 240/84. Suppose -8/7*g + m + 2/7*g**2 = 0. What is g?
1, 3
Let p = 145 + -2174/15. Let x(n) be the third derivative of 0*n + 1/525*n**7 + 0 + 1/15*n**4 + 1/75*n**6 + 1/25*n**5 + 3*n**2 + p*n**3. Factor x(h).
2*(h + 1)**4/5
Let k(m) be the third derivative of m**5/12 - 5*m**4/24 - 5*m**3/3 + 15*m**2. Factor k(n).
5*(n - 2)*(n + 1)
Let x(j) be the first derivative of -4*j + 1/2*j**4 + 4/3*j**3 - 4 - j**2. Factor x(i).
2*(i - 1)*(i + 1)*(i + 2)
Let f be -5*2/(-14)*(-36)/(-90). Solve 10/7*s + 8/7*s**2 + f*s**3 + 4/7 = 0.
-2, -1
Let x(d) = d**2 + 12*d - 24. Let w be x(-14). Solve 0*b**2 - 2/9*b**w + 4/9*b**3 - 4/9*b + 2/9 = 0 for b.
-1, 1
Let z(f) = f**2 - 2. Let v be z(0). Let t be (-10)/v*(-15)/(-25). Suppose 2/7*m**t + 2/7 - 2/7*m**2 - 2/7*m = 0. What is m?
-1, 1
Solve -98/5*z**5 - 56/5*z**4 - 8/5*z**3 + 0 + 0*z + 0*z**2 = 0.
-2/7, 0
Let b be (-10)/(-5)*6/4. Find o such that 0*o**5 - 2*o**5 + 4*o**4 + o**3 - b*o**4 = 0.
-1/2, 0, 1
Factor -2*n**2 - n + 4*n**2 - 94*n**3 + 93*n**3.
-n*(n - 1)**2
Let i(v) be the third derivative of -2/35*v**7 - 9/40*v**6 + 0*v**4 + 0 - 1/10*v**5 + 0*v**3 - 4*v**2 + 0*v. Solve i(d) = 0.
-2, -1/4, 0
Let d(g) be the third derivative of g**7/42 - g**5/6 + 5*g**3/6 - 31*g**2. Solve d(i) = 0 for i.
-1, 1
Let c(v) = -2*v**2 - 32*v - 2. Let n(u) = -u**2 - 13*u - 1. Let r(w) = 5*c(w) - 12*n(w). What is y in r(y) = 0?
1
Find k, given that -1/2*k - 1/4*k**2 - 1/4 = 0.
-1
Find v such that 2/7*v**3 - 6/7*v**2 + 6/7*v - 2/7 = 0.
1
Let r(u) be the second derivative of u**8/168 - u**6/30 + u**4/12 - 2*u**2 - 2*u. Let m(p) be the first derivative of r(p). Factor m(k).
2*k*(k - 1)**2*(k + 1)**2
Let l(c) = -c + 15. Let y be l(10). Solve 6*n**y - 4*n**2 + 0 + 4*n**4 + 0 - 4*n**5 - 2*n = 0 for n.
-1, 0, 1
Suppose 13 = i - 5*q, -2*i + 4*q + 37 = -5*i. Let o(z) = z**2 + 6*z - 4. Let s be o(i). Factor 0*y - 1/2*y**s + 0 + y**2.
-y**2*(y - 2)/2
Let b(r) be the first derivative of -3*r**4/8 - r**3/3 + 4. Factor b(j).
-j**2*(3*j + 2)/2
Let j(g) be the first derivative of g**4/16 - g**3 + 6*g**2 - 16*g + 11. Factor j(d).
(d - 4)**3/4
Let x(a) = a**5 + a**3 - a**2 - a - 1. Let r(i) = 3*i**4 + 9*i**3 - 9*i**2 - 6*i. Let m be (-2 + 15/6)*-2. Let d(j) = m*r(j) + 3*x(j). Factor d(g).
3*(g - 1)**3*(g + 1)**2
Solve 4*j**3 + 55*j**4 - 23*j**4 - 4*j**5 - 56*j**3 + 24*j**2 = 0 for j.
0, 1, 6
Let l = -3/11 + 20/33. Factor -l - 1/3*d**2 - 2/3*d.
-(d + 1)**2/3
Suppose 2/9*j**5 + 0*j**2 + 0 + 0*j + 0*j**3 + 2/9*j**4 = 0. Calculate j.
-1, 0
Let h = -95979/4 + 23789. Let l = h - -207. Factor -l*a**3 + 1/4*a**4 - a + 0 + 2*a**2.
a*(a - 2)**2*(a - 1)/4
Let q = 17 + -6. Let f(x) = -4*x**5 - 30*x**4 + 19*x**2 + 26*x + 11. Let d(n) = -n**5 - 6*n**4 + 4*n**2 + 5*n + 2. Let s(w) = q*d(w) - 2*f(w). Factor s(v).
-3*v*(v - 1)*(v + 1)**3
Let y(o) = -9*o**2 - 3*o + 29. Let q(c) = -2*c**2 - c + 7. Le