 the third derivative of 3*p**8/14560 - p**7/2730 + p**6/4680 - p**4/4 - 9*p**2. Let h(b) be the second derivative of w(b). Factor h(j).
2*j*(3*j - 1)**2/13
Suppose 19 = 6*r - 5. Let i(c) be the second derivative of -c + 0*c**r + 0 + 1/70*c**5 - 1/7*c**3 + 2/7*c**2. Let i(h) = 0. Calculate h.
-2, 1
Suppose -3*a - 5*u = -28, -3*a + 2*u + 32 = 6*u. Let m be (-30)/12*a/(-10). Let -2*l + l**m + 1 + l - 4*l**3 - 3*l + 6*l**2 = 0. Calculate l.
1
Suppose -2 = -2*b + 2. Factor 5*h + 0*h**2 - 3*h**b - 2*h + 3*h.
-3*h*(h - 2)
Factor 1/4*c**3 + 0 + 1/4*c**2 - 1/2*c.
c*(c - 1)*(c + 2)/4
Suppose 4*c + 2 = -18. Let u(r) = -6*r**2 + 16*r - 16. Let x(l) = 4*l**2 - 11*l + 11. Let b(z) = c*u(z) - 8*x(z). Solve b(j) = 0 for j.
2
Let r = 148 + -732/5. Determine p so that -r*p - 2/5 - 6/5*p**2 = 0.
-1, -1/3
Let i(v) = -v**2 - 2*v - 1. Suppose -l + 0 - 11 = -2*g, 2*g - 10 = 0. Let m be i(l). Factor 4/9*j**3 - 10/9*j**4 + 2/3*j**5 + 0 + 0*j + m*j**2.
2*j**3*(j - 1)*(3*j - 2)/9
Let g(f) be the first derivative of -f**5/14 + f**4/6 - 2*f**3/21 + 2*f + 1. Let m(u) be the first derivative of g(u). Factor m(r).
-2*r*(r - 1)*(5*r - 2)/7
Let o(g) be the third derivative of -g**9/20160 - g**5/10 + 7*g**2. Let m(a) be the third derivative of o(a). Factor m(n).
-3*n**3
Let t(x) = x**2 + 4*x - 11. Let u(k) = k**2 - k - 1. Let p(g) = t(g) - 2*u(g). Solve p(m) = 0.
3
Let w(m) be the second derivative of -m**4/20 + m**3/5 - 3*m**2/10 - 2*m. Determine f so that w(f) = 0.
1
Let o be 6/9*-3 + 8 + -6. Suppose 0 = -2*s + 3*l - 6, -3*s = -0*s + 5*l - 10. Factor s*h**3 + o*h + 2/3*h**2 + 0 - 2/3*h**4.
-2*h**2*(h - 1)*(h + 1)/3
Let j(o) be the first derivative of 2*o**3/51 - 2*o**2/17 + 2*o/17 - 1. Let j(l) = 0. What is l?
1
Factor 5/3*k + 1/3*k**2 - 1/3*k**3 + 1.
-(k - 3)*(k + 1)**2/3
Let t = -1146/5 + 230. Solve -2/5 - t*q**2 - 1/5*q**3 - q = 0 for q.
-2, -1
Let g be (-6)/7*(-196)/(-105)*-2. Factor -32/5 - g*c - 2/5*c**2.
-2*(c + 4)**2/5
Suppose -2*h = h - h. Let w(x) be the third derivative of 1/105*x**7 + 1/168*x**8 + 1/12*x**4 - 1/30*x**6 + 1/3*x**3 + 0*x - 1/15*x**5 + x**2 + h. Factor w(v).
2*(v - 1)**2*(v + 1)**3
Suppose -2*p**4 - 24*p**2 + p**4 + 21*p**2 - p - 3*p**3 = 0. What is p?
-1, 0
Let z = -5 - -7. Let y be (-6)/9 - z/(-3). Determine p, given that -3/4*p**3 + 1/2*p**4 + 1/4*p + 0*p**2 + y = 0.
-1/2, 0, 1
Let z = 27 - 27. Let g = -6/7 + 58/35. Find d such that -2/5*d + z - 2/5*d**3 + g*d**2 = 0.
0, 1
Let b(s) be the first derivative of -10*s**3/3 + 2*s**2 - 21. Factor b(y).
-2*y*(5*y - 2)
Suppose -n**3 - 2*n**5 - 3*n**5 - 9*n**3 - 10*n**4 + 25*n**4 = 0. What is n?
0, 1, 2
Determine v so that 1/3*v + 2/3*v**5 - 1/3*v**4 + 7/3*v**2 - 7/3*v**3 - 2/3 = 0.
-2, -1/2, 1
Let m(y) be the second derivative of -1/40*y**5 + 1/120*y**6 - 1/8*y**2 + 1/12*y**3 + 0*y**4 - 3*y + 0. Let m(u) = 0. What is u?
-1, 1
Suppose -3*t + 5 = r, 2*t - 5 = -2*t - r. Let k(h) be the second derivative of -1/4*h**2 - 1/60*h**6 + t*h**3 + 0 + 0*h**5 + 1/12*h**4 - 3*h. Factor k(c).
-(c - 1)**2*(c + 1)**2/2
Let q(u) be the first derivative of 3*u**5/5 - 4*u**4 + 8*u**3 - 16*u - 13. What is w in q(w) = 0?
-2/3, 2
Let g(k) be the first derivative of 125*k**4/4 - 50*k**3 + 30*k**2 - 8*k - 18. Factor g(u).
(5*u - 2)**3
Find r such that -24/7 + 3/7*r**2 - 6/7*r = 0.
-2, 4
Let v(k) = 3*k + 27. Let p be v(-9). Factor p + 2/9*c - 2/9*c**2.
-2*c*(c - 1)/9
Let o(c) be the second derivative of -c**5/20 + c**4/3 - 2*c**3/3 + 7*c. Factor o(r).
-r*(r - 2)**2
Let i(q) be the third derivative of q**5/30 + q**4/6 - q**3 - 8*q**2. Suppose i(b) = 0. Calculate b.
-3, 1
Let f be 1*(1 - -4) - 0. Let q(w) be the second derivative of 0*w**4 + 1/15*w**6 + 0 - 2/3*w**3 - w**2 + 1/5*w**f + 2*w. What is b in q(b) = 0?
-1, 1
Let k(b) be the second derivative of -b**4/4 + 3*b**2/2 - 6*b. Suppose k(t) = 0. Calculate t.
-1, 1
Let p(o) be the first derivative of -9/4*o**2 + 3/10*o**5 - 11/8*o**4 - 3 + 5/2*o**3 + o. Factor p(i).
(i - 1)**3*(3*i - 2)/2
Let s(d) = d. Let l be s(4). Let 2*f**2 - 2*f**5 + 5*f**4 + 3*f**4 - 4*f**3 - 2*f**3 - 2*f**l = 0. What is f?
0, 1
Suppose 2/7*n**3 + 0 + 6/7*n**2 + 4/7*n = 0. What is n?
-2, -1, 0
Suppose -11*p - 8*p = -57. Factor 1/2*a**5 + 1/2*a + 0 + 0*a**4 - a**p + 0*a**2.
a*(a - 1)**2*(a + 1)**2/2
Factor -2/3 - 4/3*a**2 - 3*a.
-(a + 2)*(4*a + 1)/3
Suppose -4*y - 19 + 35 = 0. Let 0 + 0*f - 1/4*f**y + 0*f**2 + 0*f**3 = 0. What is f?
0
Let r(a) be the first derivative of a**6 - 7*a**5/2 + 4*a**4 - a**3 - a**2 + a/2 - 1. Solve r(v) = 0 for v.
-1/3, 1/4, 1
Let w(n) = n - 9. Let q be w(15). Let h be (q - 12)*4/(-6). Factor -6/5*i**2 + 2/5*i**h - 4/5 + 2/5*i**3 - 2*i.
2*(i - 2)*(i + 1)**3/5
Let v(g) be the third derivative of -g**7/1470 - g**6/280 + g**5/28 - 17*g**4/168 + g**3/7 - 6*g**2. Let v(m) = 0. Calculate m.
-6, 1
Factor 6 + 4*z + 2/3*z**2.
2*(z + 3)**2/3
Let h = 35/6 + -442/75. Let l = h + 109/150. Factor -2/3*g - l + 2/3*g**2 + 2/3*g**3.
2*(g - 1)*(g + 1)**2/3
Factor -9*d**5 + d**3 - 12*d**4 - 2*d**3 + 4*d**3 + 6*d**2.
-3*d**2*(d + 1)**2*(3*d - 2)
Find u, given that 1/3*u**5 + 0*u**3 + 0 + 2/3*u**4 - 2/3*u**2 - 1/3*u = 0.
-1, 0, 1
Solve 5*t**3 + 5*t**2 + t - 4*t**2 - 6*t**3 - t**4 = 0 for t.
-1, 0, 1
Factor 9*r**2 + 30*r + 4*r**2 - 5*r - 8*r**2.
5*r*(r + 5)
Let b be 2/(-1)*(-9)/6. Factor m - m**b + 3*m - 3*m + 0*m.
-m*(m - 1)*(m + 1)
Let t(i) = i**2 + 3*i + 5. Let g(r) = 2*r + 4. Let b(l) = 6*g(l) - 4*t(l). Let b(p) = 0. What is p?
-1, 1
Suppose -u + 4 = l, 0*u = u + 4*l - 16. Let w(g) be the second derivative of 3/20*g**5 - 2*g - 1/4*g**4 + u + 0*g**2 - g**3. Factor w(h).
3*h*(h - 2)*(h + 1)
Let m be ((-1)/18*-4)/(28/63). Let d(f) be the third derivative of 2/3*f**3 - m*f**4 - 1/20*f**5 + 0*f - 1/70*f**7 + 2*f**2 + 0 + 1/12*f**6. Factor d(w).
-(w - 2)**2*(w + 1)*(3*w - 1)
Let m(g) be the first derivative of -2*g**3/21 + 4*g**2/7 - 6*g/7 + 3. Find x, given that m(x) = 0.
1, 3
Let y be (-2)/(-66)*31 - (-2)/6. Determine v, given that 0*v + 4/11*v**3 + 0 - 2/11*v**2 + 8/11*v**5 + y*v**4 = 0.
-1, 0, 1/4
Let k(t) be the third derivative of 5*t**8/336 - t**7/21 - 5*t**6/24 + t**5/2 - 9*t**2 - 2. Factor k(v).
5*v**2*(v - 3)*(v - 1)*(v + 2)
Let a = -18 - -20. Let y(q) be the first derivative of 0*q + 1/4*q**2 + a - 1/6*q**3. Factor y(t).
-t*(t - 1)/2
Let z = 27 + -23. Determine u so that 8*u**2 + z*u + 6*u**2 + 8*u**3 + 2*u**3 = 0.
-1, -2/5, 0
Let r(h) be the third derivative of h**6/12 - 5*h**5/12 + 5*h**4/6 - 5*h**3/6 + 4*h**2 + 2*h. What is u in r(u) = 0?
1/2, 1
Let c(a) = -a**4 + a**3 - a**2 + a. Let t(p) = 4*p**4 + 6*p**3 + 14*p**2 + 6*p + 2. Let i(d) = -4*c(d) - 2*t(d). Let i(u) = 0. What is u?
-1
Let k(g) = -18*g + 12. Let w(c) = -c**2 - 38*c + 24. Let i(s) = -5*k(s) + 2*w(s). Suppose i(z) = 0. What is z?
1, 6
Let v(j) be the second derivative of -j**10/15120 + j**9/11340 + j**8/10080 - j**4/6 - 4*j. Let q(i) be the third derivative of v(i). Factor q(b).
-2*b**3*(b - 1)*(3*b + 1)/3
Suppose 0 - 3*j**2 - 2/3*j = 0. What is j?
-2/9, 0
Let s(l) be the second derivative of 5*l**5/4 + 15*l**4/4 - 5*l**3/3 + 24*l. Determine c so that s(c) = 0.
-2, 0, 1/5
Let a(o) be the second derivative of -o**7/3780 - o**6/540 + o**4/12 - 2*o. Let j(u) be the third derivative of a(u). Factor j(l).
-2*l*(l + 2)/3
Let h(k) be the first derivative of -k**6/720 - k**5/120 + k**4/16 + 7*k**3/3 - 8. Let g(a) be the third derivative of h(a). Solve g(r) = 0 for r.
-3, 1
Suppose 0 = x - 2. Suppose -5*i + x*i = -6. Determine s, given that 0 - 1/3*s**i - 1/3*s = 0.
-1, 0
Let s be 1/2*(-5 + 17/3). Factor 0*t**4 + 0*t**2 - s*t - 1/3*t**5 + 0 + 2/3*t**3.
-t*(t - 1)**2*(t + 1)**2/3
Let w(m) be the third derivative of m**8/20160 - m**7/3780 - m**4/8 + 6*m**2. Let i(v) be the second derivative of w(v). Factor i(a).
a**2*(a - 2)/3
Let h(g) = -4*g**4 + 8*g**3 - 3*g**2 - 2*g + 1. Let r(a) = 3*a**4 - 7*a**3 + 3*a**2 + 3*a - 2. Let x(y) = 2*h(y) + 3*r(y). What is u in x(u) = 0?
-1, 1, 4
Let x be ((-3)/9 - 0)*-15. Suppose -a + 3*a - 29 = -x*w, -w - 1 = -3*a. What is p in 0*p - 1/4*p**2 + 1/4*p**4 + 1/4*p**3 + 0 - 1/4*p**w = 0?
-1, 0, 1
Let b(w) = 2*w**4 - 6*w**3 + 12*w**2 - 4*w - 4. Let n(z) = z**4 + z**2 - z - 1. Let a(h) = -b(h) + 4*n(h). Factor a(o).
2*o**2*(o - 1)*(o + 4)
Let z(c) be the third derivative of 3*c**5 - 5*c**4/2 + 5*c**3/6 + 1