+ -267/20. Let u(g) = -g**2 + 6*g + 3. Let v be u(6). Solve -16/5*k - 38/5*k**2 - 24/5*k**v - a = 0 for k.
-1, -1/3, -1/4
Let c = -129 + 647/5. Let o = 4/3 - 14/15. Factor o*g + 0 - c*g**2.
-2*g*(g - 1)/5
Factor -4*q - 2*q**2 + 10*q + 3*q**2 - 4*q.
q*(q + 2)
Let l(u) = u**2 + u. Let c be l(1). Let j(n) be the second derivative of -1/60*n**4 - c*n + 0*n**2 + 0 - 1/30*n**3. Factor j(p).
-p*(p + 1)/5
Let s(j) be the first derivative of j**3/6 - j**2/4 - 2. Suppose s(l) = 0. What is l?
0, 1
Find x such that 0 + 6/5*x - 24/5*x**3 + 3/5*x**2 + 3*x**4 = 0.
-2/5, 0, 1
Let v be (0 - (-40)/5) + -5. Factor 1/4*j**5 + 0*j + 1/4*j**2 - 1/4*j**v - 1/4*j**4 + 0.
j**2*(j - 1)**2*(j + 1)/4
Let p be (-2*3)/(3/(-14)). Suppose -2*l = -0*l - p. Factor -4*y**3 + 4*y - y**4 + 17*y**4 - 2*y**4 - l*y**2.
2*y*(y - 1)*(y + 1)*(7*y - 2)
Factor -6*h**3 + 4*h**4 - h**5 + 10*h**3 - 4*h**2 - 3*h**5.
-4*h**2*(h - 1)**2*(h + 1)
Factor 0*x**2 + 0 + 6/5*x**3 - 3/5*x**4 + 0*x.
-3*x**3*(x - 2)/5
Let d(g) be the third derivative of -1/140*g**5 - 5*g**2 + 0*g**3 + 0*g + 0 + 0*g**4. Factor d(f).
-3*f**2/7
Factor 3/2*f**2 + 1/2*f**3 - 1/2*f - 1 - 1/2*f**4.
-(f - 2)*(f - 1)*(f + 1)**2/2
Let y be 24/16 - (-5)/2. Solve 0 + 0*j + 1/3*j**3 + 0*j**2 - 1/3*j**y = 0.
0, 1
Let x(a) be the second derivative of a**7/84 + a**6/15 + 3*a**5/20 + a**4/6 + a**3/12 - 30*a. Factor x(g).
g*(g + 1)**4/2
Let k be 2/10*0 - (-4)/1. Let f(m) be the second derivative of 0*m**2 - 27/14*m**7 + 0 - k*m + 8/5*m**5 + 0*m**3 + 1/3*m**4 + 3/2*m**6. Factor f(w).
-w**2*(w - 1)*(9*w + 2)**2
Let z be ((-14)/56)/((-3)/(-2) - 2). Let 1/2*x**5 - z - x**3 + x**2 + 1/2*x - 1/2*x**4 = 0. What is x?
-1, 1
Let z(c) = c + 1. Let u(m) = 2*m**3 + 1. Let p be u(1). Let j be z(p). Determine l, given that 5*l**3 + 2*l**3 + 7*l**3 + j*l**2 = 0.
-2/7, 0
Let s(k) be the third derivative of 1/60*k**4 - 1/150*k**5 + 0*k + 0 + 2/15*k**3 + 3*k**2. Factor s(j).
-2*(j - 2)*(j + 1)/5
Let f(m) be the second derivative of 0 + 1/30*m**5 + 0*m**2 + 0*m**4 + 1/45*m**6 - 6*m + 0*m**3. Factor f(b).
2*b**3*(b + 1)/3
Let m(j) be the second derivative of j**4/32 - 3*j**2/4 - 13*j. Factor m(n).
3*(n - 2)*(n + 2)/8
Let m(p) be the first derivative of -p**8/336 - p**7/70 - p**6/40 - p**5/60 - 2*p**2 + 2. Let d(q) be the second derivative of m(q). Solve d(f) = 0.
-1, 0
Let j(f) be the third derivative of f**7/1575 + f**6/225 + 2*f**5/225 - 9*f**2 + 2*f. Factor j(b).
2*b**2*(b + 2)**2/15
Let r(w) be the third derivative of -2*w**7/75 - 23*w**6/150 - 9*w**5/25 - 13*w**4/30 - 4*w**3/15 - 10*w**2 - 3*w. Factor r(l).
-4*(l + 1)**3*(7*l + 2)/5
Let c be 2 + -1 - 2 - -4. Solve 6*t**2 + c*t - 2*t**2 - t**2 = 0 for t.
-1, 0
Let j(m) = -11*m**5 - 13*m**4 + 42*m**3 - 18*m**2. Let g(a) = -2*a**5 - 2*a**4 + 7*a**3 - 3*a**2. Let d(p) = 34*g(p) - 6*j(p). Factor d(v).
-2*v**2*(v - 3)*(v - 1)**2
Let k(a) be the third derivative of a**7/315 - a**6/60 + a**5/30 - a**4/36 - 15*a**2. Factor k(l).
2*l*(l - 1)**3/3
Let o(d) = d**4 + d**3 - d**2 - d + 5. Let t(v) = -1. Let a(b) = 3*o(b) + 15*t(b). Solve a(i) = 0.
-1, 0, 1
Suppose -v = -m + 2*v + 14, 2*v + 8 = 0. Factor -3*w**4 - 3/4*w**5 - 3/4*w - 3*w**m - 9/2*w**3 + 0.
-3*w*(w + 1)**4/4
What is j in 0 - 3/4*j**2 + 1/4*j**3 + 1/2*j = 0?
0, 1, 2
Factor -10*n**5 - 9*n - 3*n**5 - 3 + 6*n**3 - 6*n**2 + 26*n**5 - 10*n**5 + 9*n**4.
3*(n - 1)*(n + 1)**4
Let i = 5 - 1. Determine b so that i*b**4 + 6*b**3 - 4*b**2 + 4*b - 2*b**5 + 14*b**2 - 6*b**4 = 0.
-1, 0, 2
Suppose -s - 96 = -3*a, -4*a + 54 + 66 = -4*s. Let t = 35 - a. Factor 16/5*x**t - 2/5*x - 2/5 + 24/5*x**3.
2*(2*x + 1)**2*(3*x - 1)/5
Let g(h) be the second derivative of 0 + 0*h**2 - 1/720*h**6 + 0*h**4 - 3*h - 1/240*h**5 + 1/2*h**3. Let x(l) be the second derivative of g(l). Factor x(v).
-v*(v + 1)/2
Let p = -26 - -17. Let o = p - -13. Factor -1/2*w**o - 1/2*w + 1/2*w**2 + 1/2*w**3 + 0.
-w*(w - 1)**2*(w + 1)/2
Suppose t - 10 = 2*z, -2*t - z + 3 = -2. Let s(d) = d**3 + 2*d**2 - d. Let q be s(1). Factor -4*y**3 + q*y**3 - 2 + 4*y + 2*y**3 + 2*y**t - 4*y**3.
2*(y - 1)**3*(y + 1)
Factor 4/3*g**3 + 0*g + 2/3*g**2 + 2/3*g**4 + 0.
2*g**2*(g + 1)**2/3
Solve 3/2*v + 3/8 - 15/2*v**4 + 3/8*v**2 - 3*v**5 - 21/4*v**3 = 0 for v.
-1, -1/2, 1/2
Let m be (348/(-145))/((-3)/5). Solve -v**m - v + 1/4 + v**3 + 3/4*v**2 = 0.
-1, 1/2, 1
Let x = 19 - 14. Let h(y) be the second derivative of 0*y**3 + 0 + 1/135*y**6 + 0*y**2 + y + 1/54*y**4 + 1/45*y**x. Suppose h(c) = 0. What is c?
-1, 0
Let l(k) be the first derivative of -3*k**5/5 - 9*k**4/2 - 8*k**3 + 9*k**2 + 27*k + 15. Find p, given that l(p) = 0.
-3, -1, 1
Let v = 19 - 7. Let r be 1/v - (-4)/16. Determine u, given that 1/3*u**2 + 1/3*u**5 + 0*u - 1/3*u**4 + 0 - r*u**3 = 0.
-1, 0, 1
Let c = 13/46 - -5/23. Find h, given that -3/2*h + 0 + c*h**2 = 0.
0, 3
Let v(k) be the third derivative of -k**5/30 + k**4/6 + 5*k**2. Determine r so that v(r) = 0.
0, 2
Let g(z) be the third derivative of -1/70*z**7 - 1/8*z**4 + 0*z + 0*z**3 + 1/20*z**5 + 0 + 1/40*z**6 - 5*z**2. Solve g(o) = 0 for o.
-1, 0, 1
Let j(r) be the second derivative of -1/30*r**6 - 1/12*r**4 + 0*r**3 + 0*r**2 + 0 - 3*r + 1/10*r**5. Factor j(n).
-n**2*(n - 1)**2
Let w(v) be the first derivative of 3 + 0*v**4 + 1/60*v**5 + 0*v - v**2 - 1/6*v**3. Let c(d) be the second derivative of w(d). Determine s, given that c(s) = 0.
-1, 1
Let t(a) be the third derivative of 5*a**6/36 - a**5/18 - 4*a**4/9 - 4*a**3/9 - a**2. Factor t(r).
2*(r - 1)*(5*r + 2)**2/3
Factor -9*r - 6 + 98*r**2 + 98*r**2 - 199*r**2.
-3*(r + 1)*(r + 2)
Let v(a) = -a**3 - a**2 - a. Let h(b) = 4*b**3 - 76*b**2 + 374*b - 625. Let z(c) = -h(c) + v(c). Factor z(o).
-5*(o - 5)**3
Let n(m) = 1. Let r(s) = -s**3 + 4*s**2 - 5*s + 5. Let k(a) = -3*n(a) + r(a). Factor k(g).
-(g - 2)*(g - 1)**2
Solve 18/5*d + 3/5 - 21/5*d**2 = 0.
-1/7, 1
Factor -3/5*k**3 + 9/5*k**2 + 3/5 - 9/5*k.
-3*(k - 1)**3/5
Determine w, given that 16*w**3 - 4 + 6*w - 24*w**2 - 4*w**4 + 6*w + 4*w = 0.
1
Let s be (-66)/77 + 27/7. Factor -8/3 + 8/3*a - 2*a**s + 10/3*a**2.
-2*(a - 2)*(a + 1)*(3*a - 2)/3
Let m(i) be the second derivative of 0 + 1/1260*i**6 + i + 0*i**4 - 1/420*i**5 - 1/6*i**3 + 0*i**2. Let j(n) be the second derivative of m(n). Factor j(k).
2*k*(k - 1)/7
Let f(k) = -k - 1. Let j(m) = m**3 - 8*m - 7. Let a(n) = 14*f(n) - 2*j(n). Determine q, given that a(q) = 0.
-1, 0, 1
Let r(a) be the second derivative of 3/20*a**5 - 1/30*a**6 + 0*a**2 + 2*a + 1/12*a**4 + 0 - 1/14*a**7 + 0*a**3. Find o, given that r(o) = 0.
-1, -1/3, 0, 1
Let d(k) = -11*k**4 - 12*k**3 + 11*k**2 + 5*k + 7. Let t(s) = 4*s**4 + 4*s**3 - 4*s**2 - 2*s - 2. Let m(z) = 2*d(z) + 7*t(z). Factor m(x).
2*x*(x - 1)*(x + 1)*(3*x + 2)
Suppose 0*o - 8 = -4*y - 4*o, -3*o + 6 = 2*y. Let c(n) be the first derivative of 2*n**2 + 3/2*n**4 + y*n - 2 - 10/3*n**3. Factor c(t).
2*t*(t - 1)*(3*t - 2)
Let o be (2/3)/(6/27). Factor -o*y**2 + 4*y**2 + y + 0*y**2 - 2.
(y - 1)*(y + 2)
Let z(q) be the second derivative of -q**8/8400 + q**6/900 - q**4/120 - q**3/3 - q. Let i(v) be the second derivative of z(v). Solve i(t) = 0.
-1, 1
Let a(u) be the second derivative of 13*u**5/5 + 13*u**4/6 - u**3 + u**2 - 3*u. Let r(t) = 51*t**3 + 27*t**2 - 5*t + 3. Let m(h) = 3*a(h) - 2*r(h). Factor m(z).
2*z*(3*z + 2)*(9*z - 2)
Suppose 0*x - 3*q + 8 = -x, 3*x + 8 = 5*q. Let v(g) = 24*g + 2. Let l be v(x). Factor -2*r + 8*r**4 + 12*r**2 - l*r**5 + 28*r**2 - 148*r**4 + 6*r**3 - 6*r.
-2*r*(r + 1)**2*(7*r - 2)**2
Factor 2/15 - 2/15*u + 2/15*u**3 - 2/15*u**2.
2*(u - 1)**2*(u + 1)/15
Suppose 2*d - 3 = -d. Factor -r**4 + 0*r**2 - 4*r - 6*r**2 - d - 4*r**3 + 0*r**2.
-(r + 1)**4
Determine l, given that 0 + 1/2*l**3 + 7/2*l**2 + 0*l = 0.
-7, 0
Let w(b) = -15*b**4 - 15*b**3 + 321*b**2 + 192*b - 351. Let o(k) = -k**4 - k**3 + 20*k**2 + 12*k - 22. Let q(s) = 33*o(s) - 2*w(s). Factor q(y).
-3*(y - 2)*(y - 1)*(y + 2)**2
Let t(c) be the second derivative of -1/18*c**3 - 1/3*c**2 + 1/36*c**4 - c + 0. Factor t(a).
(a - 2)*(a + 1)/3
Let a(p) be the first derivative of -p**5/60 + p**4/3 - 8*p**3/3 + 2*p**2 - 2. Let y(k) be the second derivative of a(k). Let y(r) = 0. Calculate r.
4
Let n(p) = 9*p**5 - 9*p**4 + 27*p**3 - 15*p**2 + 6. Let j(w) = 10*w**5 - 8*w**4 + 27*w**3 - 14*w**2 - w + 7. Let i(d) = 6*j(d) - 7*n(d). Factor i(y).
-3*y*(y - 2)*(y - 1)**3
Le