*p**2/7 + 7*p. Factor j(r).
2*(r - 1)**2*(r + 2)/7
Let h(y) = y**2 - y. Suppose 0 = -2*k + 3*k + 3. Let s(x) = -2*x**4 + 3*x**5 - x**2 - 2*x**3 - 5*x**5 + 3*x + 4*x**5. Let w(u) = k*h(u) - s(u). Factor w(f).
-2*f**2*(f - 1)**2*(f + 1)
Suppose s - 38 = -4*s + 3*c, -4*c + 46 = 3*s. Let n be (9/15)/(2/s). Factor 0*p**2 - 2/7*p**n + 0 + 0*p.
-2*p**3/7
Let y(t) be the first derivative of -27*t**4/2 - 26*t**3 - 40*t**2/3 - 8*t/3 + 26. Factor y(j).
-2*(j + 1)*(9*j + 2)**2/3
Let n(r) be the third derivative of 1/90*r**5 + 2*r**2 - 1/540*r**6 - 1/36*r**4 + 0 - 1/2*r**3 + 0*r. Let g(c) be the first derivative of n(c). Factor g(d).
-2*(d - 1)**2/3
Let c(q) be the third derivative of q**5/90 - q**3/9 - 5*q**2. Suppose c(u) = 0. Calculate u.
-1, 1
Let q = 3 - 0. Let j = 45/11 - 43/11. Find r, given that 0 - 2/11*r**q + 0*r**2 + j*r = 0.
-1, 0, 1
Let z = 6 + 3. Determine u, given that 6*u**5 - u + 20*u**4 - 5 + 20*u**3 - z*u + 1 = 0.
-1, 2/3
Let i(l) be the second derivative of 1/3*l**3 + l + 2*l**2 - 1/60*l**6 - 1/4*l**4 - 1/8*l**5 + 0. Determine r so that i(r) = 0.
-2, 1
Let v be (-6)/21 - 114/(-56). Let n = -2/283 - -857/1132. Factor -n*l**4 + 0 + 2*l**3 + 1/2*l - v*l**2.
-l*(l - 1)**2*(3*l - 2)/4
Suppose 2*z + 2*z + 8 = 0. Let k(g) = 0*g**3 + g**3 + 2 - 1. Let l(m) = -m**3 + 2*m**2 - m - 4. Let w(u) = z*l(u) - 4*k(u). Factor w(d).
-2*(d - 1)*(d + 1)*(d + 2)
Let p(l) be the second derivative of l**2 - 2/3*l**3 - 1/4*l**4 + 0 + 3*l. Let a(q) = -15*q**2 - 19*q + 11. Let u(f) = -2*a(f) + 11*p(f). Factor u(s).
-3*s*(s + 2)
Determine u, given that -8*u**2 + 6*u**2 - 2*u**3 + 2*u**4 + 47*u - 45*u = 0.
-1, 0, 1
Let z(a) be the first derivative of -a**6/6 - a**5 - a**4/2 + 14*a**3/3 + 3*a**2/2 - 9*a - 18. Let z(m) = 0. What is m?
-3, -1, 1
Let p(l) = -3*l**3 - 12*l**2 + 21*l - 18. Let c(x) = -x**2 + x - 1. Let f(n) = -12*c(n) + p(n). Find t such that f(t) = 0.
-2, 1
Let i(f) be the first derivative of f**6/12 - 3*f**5/20 - 5*f**4/16 + 13*f**3/12 - 9*f**2/8 + f/2 + 12. Factor i(a).
(a - 1)**3*(a + 2)*(2*a - 1)/4
Let k = -3/13 + 19/26. Let f(i) be the second derivative of 5/6*i**4 - 1/42*i**7 - 5/6*i**3 + 1/2*i**2 + 1/6*i**6 - k*i**5 + 0 - i. Factor f(m).
-(m - 1)**5
Let r(c) be the third derivative of -1/30*c**6 + 1/15*c**5 - c**2 + 0*c + 1/6*c**4 + 0 - 2/3*c**3. Suppose r(g) = 0. What is g?
-1, 1
Let y(s) be the second derivative of -1/80*s**5 + 0 - 1/16*s**4 - 1/8*s**3 - 1/8*s**2 - s. Find n such that y(n) = 0.
-1
Let i(u) be the second derivative of -1/6*u**3 - 1/16*u**4 - 1/8*u**2 + 0 - 5*u. What is f in i(f) = 0?
-1, -1/3
Let c(p) be the third derivative of 3*p**7/350 - 7*p**6/200 + 3*p**5/100 + 3*p**4/40 - p**3/5 + 4*p**2. Factor c(l).
3*(l - 1)**3*(3*l + 2)/5
Determine p, given that -18*p - 5*p**2 - 81/5 = 0.
-9/5
Let o(c) = 6*c - 9*c**2 + 7 + 6*c**2 - 8*c**2. Let b(y) = -6*y**2 + 3*y + 3. Let m(h) = -5*b(h) + 3*o(h). Factor m(k).
-3*(k - 2)*(k + 1)
Suppose 0 = -5*r - 28 - 12. Let u be 5/(-14)*r/10. Factor -8/7 - u*h**2 - 8/7*h.
-2*(h + 2)**2/7
Let z(j) = -2*j - 10. Let h be z(-5). Factor 2/7*p**3 - 4/7*p**2 + 2/7*p + h.
2*p*(p - 1)**2/7
Let p be (164/(-24) + 6)*2/(-10). Factor -1/2*s**4 - 1/6*s**5 - p*s**2 - 1/2*s**3 + 0*s + 0.
-s**2*(s + 1)**3/6
Suppose -2/5 - 2/5*g**3 - 6/5*g**2 - 6/5*g = 0. What is g?
-1
Let b(c) = 5*c**3 - 85*c**2 - 3*c + 51. Let f be b(17). What is r in -1/2*r**2 - 1/2*r + f = 0?
-1, 0
Suppose 1/9*i**4 - 4/9*i**3 + 4/9*i - 4/9 + 1/3*i**2 = 0. What is i?
-1, 1, 2
Factor -10*g**2 - 11*g**2 + 11 + g**2 - 12*g - 3.
-4*(g + 1)*(5*g - 2)
Let y(i) = -12*i**2 - 111*i - 110. Let l(w) = 2*w**2 + 22*w + 22. Let z(k) = -11*l(k) - 2*y(k). Factor z(h).
2*(h - 11)*(h + 1)
Factor -4/7*c**2 + 1/7*c**3 - 2/7 + 5/7*c.
(c - 2)*(c - 1)**2/7
Let x(h) be the first derivative of -3 + 0*h**2 - 1/2*h**4 + 0*h + 0*h**3. Find z such that x(z) = 0.
0
Let t(s) = -s - 15. Let y be t(-15). Factor y*i + 0 - 1/5*i**3 - 2/5*i**2.
-i**2*(i + 2)/5
Factor 2/3*b**5 + 2*b**3 + 0*b + 2*b**4 + 0 + 2/3*b**2.
2*b**2*(b + 1)**3/3
Let h(w) be the first derivative of 81*w**4/8 + 39*w**3/2 + 12*w**2 + 2*w - 18. Suppose h(u) = 0. Calculate u.
-2/3, -1/9
Let z(h) be the third derivative of h**8/30240 + h**7/7560 - h**6/540 - h**5/60 - 3*h**2. Let v(q) be the third derivative of z(q). Find x, given that v(x) = 0.
-2, 1
Suppose v - 9*g + 4 = -7*g, -5*g = 5*v - 25. Factor -2/9*k**v + 4/9*k - 4/9*k**3 + 2/9*k**4 + 0.
2*k*(k - 2)*(k - 1)*(k + 1)/9
Let z(w) = -w**3 - w**2 + w + 1. Let h(r) = 31*r**3 - 29*r**2 - 4*r + 2. Let u(y) = -h(y) + 2*z(y). Solve u(j) = 0.
-2/11, 0, 1
Let j(v) be the first derivative of -v**6/90 + v**5/10 - 13*v**4/36 + 2*v**3/3 - 2*v**2/3 - v - 2. Let d(r) be the first derivative of j(r). Factor d(z).
-(z - 2)**2*(z - 1)**2/3
Let t(s) be the second derivative of s**4/3 - 44*s**3/3 + 242*s**2 + 3*s. Factor t(x).
4*(x - 11)**2
Let a(l) be the first derivative of 2/3*l**2 - 2/3*l + 1 - 2/9*l**3. Factor a(g).
-2*(g - 1)**2/3
Let f(m) = -m**3 - m**2 - m. Let z(t) = -6*t**3 - 2*t**2 + 4*t + 1. Let j(l) = -f(l) + z(l). Find q such that j(q) = 0.
-1, -1/5, 1
Find y such that 0 - 2*y**3 + 0*y**4 + 9/5*y**5 + 0*y**2 + 1/5*y = 0.
-1, -1/3, 0, 1/3, 1
Factor 5 - 37 - 88*a**2 - 136*a - 14*a**3 - 4 + 4.
-2*(a + 2)*(a + 4)*(7*a + 2)
Factor 1/4*n**2 - 7/2*n + 49/4.
(n - 7)**2/4
Let p be (-2)/(-3) + (-66)/(-9). Suppose b - 4 = -3*u, -5*u + 3*b + 8 = -p. Solve -4/3*m**4 + 2/3*m - 2/3*m**5 + 0*m**3 + 0 + 4/3*m**u = 0 for m.
-1, 0, 1
Let r(m) = 1. Suppose 0*z - z + 3 = 4*f, 3*z + 3*f = -9. Let j = -2 - z. Let w(a) = -7*a**2 + 2*a + 3. Let c(p) = j*r(p) - w(p). Factor c(d).
d*(7*d - 2)
Let -3/5*d**2 + 8/5*d - 2/5*d**3 + 1/5*d**4 - 4/5 = 0. What is d?
-2, 1, 2
Let b be ((-14)/6 - -2)/(73/(-438)). Solve 1/2*m**b + 3/4*m - 1/2*m**3 - 1/4*m**5 + 1/4 - 3/4*m**4 = 0.
-1, 1
Let y(o) be the third derivative of -1/300*o**5 + 1/120*o**4 + 0 + 1/3*o**3 + o**2 + 1/1800*o**6 + 0*o. Let l(d) be the first derivative of y(d). Factor l(k).
(k - 1)**2/5
Find w such that 2*w + 2*w**2 + w - 2 - 6 + 3*w = 0.
-4, 1
Let y be 43/5 - 12/(-30). Let t = 29/3 - y. Factor 0 + 2/3*n**2 + t*n.
2*n*(n + 1)/3
Let l(o) be the first derivative of 3*o**4/4 + 2*o**3 + 3*o**2/2 - 41. Determine k so that l(k) = 0.
-1, 0
Solve 6*q + 5*q**3 - q + 10*q**2 - 43 + 43 = 0.
-1, 0
Let s = -16/3 + 6. Let n be (-204)/(-144) - (-3)/(-4). Factor s*g**2 + 0 - n*g.
2*g*(g - 1)/3
Suppose 2*t - 5*j + 2 = -j, j = -3*t + 11. Suppose -11 = -t*i + 4. Factor -i - 1 - 10*m + 2 + 14*m**2.
2*(m - 1)*(7*m + 2)
Let z(l) be the second derivative of 1/36*l**4 + 1/18*l**3 + 0*l**2 + 0 + 6*l. Find i such that z(i) = 0.
-1, 0
Let b be 3/2*6/162. Let x(s) be the second derivative of 0*s**5 + 0*s**2 + 1/45*s**6 + 0 - b*s**4 + 2*s + 0*s**3. Factor x(o).
2*o**2*(o - 1)*(o + 1)/3
Let m(s) be the second derivative of -1/5*s**5 - s**2 + s + 1/15*s**6 + 0*s**4 + 0 + 2/3*s**3. Factor m(t).
2*(t - 1)**3*(t + 1)
Let q = 8 - 7. Suppose a - 4 = q. Factor -a*v**3 - 1 + 2*v**3 + 1.
-3*v**3
Let k(l) be the first derivative of -28*l**5/5 - 23*l**4 - 36*l**3 - 26*l**2 - 8*l + 15. Factor k(m).
-4*(m + 1)**3*(7*m + 2)
Let w = -17 + 24. Let a(h) = 13*h**2 - 12*h + 6. Let j(l) = -6*l**2 + 6*l - 3. Let d(o) = w*j(o) + 3*a(o). Determine t so that d(t) = 0.
1
Let q(g) be the third derivative of 3/8*g**3 - 9/80*g**6 + 39/80*g**5 - 5/8*g**4 + 0 + g**2 + 0*g. Suppose q(l) = 0. Calculate l.
1/3, 3/2
Let k = 0 - -2. Suppose -3*l - 12 = 0, 0 = -k*j - 5*l - 5 - 11. Solve 2*u**4 - u**2 + j*u**3 + 0*u**4 - 3*u**4 = 0.
0, 1
Suppose 5*i**4 - 10*i**3 + 180 + 36*i + 39*i - 55*i**2 - 15*i = 0. Calculate i.
-2, 3
Let y be (-2)/(-4) + 9/2. Suppose -4*v - 5*d - 8 = -0*v, 5*v + y*d + 5 = 0. Factor 2*m**5 - m**v + 3*m**3 + 2*m - 6*m**3.
2*m*(m - 1)**2*(m + 1)**2
Let d = -128 + 209. Let 7*c - 3*c - d*c**3 + 6 - 7*c - 90*c**2 = 0. Calculate c.
-1, -1/3, 2/9
Let w(b) be the first derivative of -12*b**5/5 - 2*b**4 + 16*b**3 + 16*b**2 - 4. Find a such that w(a) = 0.
-2, -2/3, 0, 2
Let m(j) be the first derivative of -2*j**3/3 + j**2/2 - 4. Let w(r) be the first derivative of r**3/3 - 1. Let i(h) = -m(h) - 3*w(h). Factor i(c).
-c*(c + 1)
Factor 19/3*s**2 + 27 + 33*s + 1/3*s**3.
(s + 1)*(s + 9)**2/3
Let o(j) be the first derivative of 0*j**2 + 3 + j**3 + 0*j - 3/4*j**4. Suppose o(c) = 0. What is c?
0