the third derivative of x**7/140 + 11*x**6/360 + x**5/30 + 11*x**4/24 + 9*x**2. Let y(b) be the second derivative of z(b). Factor y(g).
2*(g + 1)*(9*g + 2)
Let l(w) be the third derivative of w**8/151200 - w**6/5400 + w**5/10 + w**2. Let f(b) be the third derivative of l(b). Factor f(o).
2*(o - 1)*(o + 1)/15
Let x = 19 - 15. Let y(n) = -n**2 + n + 15. Let a be y(x). Factor -1/2 - 1/2*i**2 + i**4 - 1/4*i**5 - i**a + 5/4*i.
-(i - 2)*(i - 1)**3*(i + 1)/4
Let f(i) = 11*i**3 - 4*i**2 - 35*i - 14. Let t(w) = -31*w**3 + 13*w**2 + 103*w + 42. Let g(l) = 17*f(l) + 6*t(l). Factor g(y).
(y + 1)*(y + 2)*(y + 7)
Let j(q) = q**4 + q**3 + 2*q. Let w(u) = 12*u**4 - 30*u**3 + 440*u**2 - 378*u. Let x(z) = -22*j(z) + 2*w(z). Factor x(r).
2*r*(r - 20)**2*(r - 1)
Let r(b) be the third derivative of -b**5/180 - 53*b**4/12 - 2809*b**3/2 + 385*b**2. Determine j, given that r(j) = 0.
-159
Let o(h) = 5*h**5 - 68*h**4 + 468*h**3 - 1458*h**2 + 2021*h - 976. Let v(u) = -u**5 + u**4 + 2*u + 2. Let r(j) = -o(j) - 2*v(j). Factor r(z).
-3*(z - 12)*(z - 3)**3*(z - 1)
Let q(y) be the second derivative of -y**8/3360 + y**7/630 + y**6/120 - 13*y**4/12 - 7*y. Let h(z) be the third derivative of q(z). Let h(s) = 0. Calculate s.
-1, 0, 3
Let m = -1131 - -596. Let n = m + 3751/7. Factor -n*s**2 - 4/7*s - 1/7*s**4 - 1/7 - 4/7*s**3.
-(s + 1)**4/7
Determine k, given that 694*k**4 - k**5 - 92*k**2 + 122*k**2 - 684*k**4 - 31*k**3 = 0.
0, 2, 3, 5
Let 5 + 24*a**4 - 13*a**2 - 36*a - 4*a**5 + 3 - 56*a**3 - 3*a**2 + 80*a**2 = 0. Calculate a.
1, 2
Let p(b) be the second derivative of 6*b**2 + 4*b + 0 + 5/9*b**3 + 1/450*b**5 - 1/18*b**4. Let f(d) be the first derivative of p(d). What is h in f(h) = 0?
5
Solve -23*b**5 - 10*b**4 - 12*b**3 + 0*b**4 + 21*b**5 = 0 for b.
-3, -2, 0
Suppose b + 6 = -2*b + 3*t, 3*b - 4*t + 11 = 0. Suppose 2 + 7 = 3*v. Let 10*i**b - 8*i**3 - i**v - i**5 = 0. Calculate i.
-1, 0, 1
Let d(b) = b**3 - 3*b**2 - 3*b - 1. Let j be d(4). Let i(z) be the second derivative of 0 - 3/2*z**j + z + 3*z**2 + 1/4*z**4. Factor i(w).
3*(w - 2)*(w - 1)
Let j(b) be the third derivative of -3*b**7/140 + 11*b**6/160 - b**5/20 - b**4/32 - 39*b**2 - 1. Factor j(q).
-3*q*(q - 1)**2*(6*q + 1)/4
Let f(v) = -12*v**2 + 12*v + 27. Let s(d) = -d**2 + d + 3. Let a(g) = -2*f(g) + 26*s(g). What is k in a(k) = 0?
-3, 4
Let d be (-7 - 1432/(-140)) + 12/(-28). Factor 8/5*x**2 - 4 + 2/5*x**3 - d*x.
2*(x - 2)*(x + 1)*(x + 5)/5
Let h(q) = -15*q**5 + 30*q**4 - 55*q**3 + 70*q**2 - 10*q - 10. Let u(l) = l**5 - l**3 - l**2 - l + 1. Let b(k) = h(k) + 10*u(k). Factor b(z).
-5*z*(z - 2)**2*(z - 1)**2
Let r = -37/8 + 349/72. Let k(c) be the second derivative of -r*c**3 + 6*c + 0*c**2 + 5/18*c**4 + 0 + 1/15*c**5 - 1/9*c**6. Solve k(h) = 0 for h.
-1, 0, 2/5, 1
Suppose 2*y = -2*o, -2*y - 2*o = 3*y - 6. Let f be 4*y - ((6 - -3) + -4). Solve -48/5*q**2 + 32/5*q**f - 6*q - 4/5 = 0 for q.
-1/4, 2
Suppose 6*p - 66 = 9*p. Let f be (-266)/(-231) + (-4)/p. Solve 0*s**3 - f*s**2 + 2/3*s**5 + 4/3*s**4 + 0 - 2/3*s = 0 for s.
-1, 0, 1
Let k(g) be the third derivative of g**5/330 + g**4/3 + 44*g**3/3 - 142*g**2. Factor k(a).
2*(a + 22)**2/11
Let i = -6196129/948 + 6536. Let q = 5701/12324 + i. Factor q - 2/13*x**2 + 4/13*x.
-2*(x - 3)*(x + 1)/13
Let x be (66 + (-38 - 26))*(-1)/8*-2. Find l such that -1/2*l**4 + 0 + 1/2*l**3 - x*l + 1/2*l**2 = 0.
-1, 0, 1
Let h(j) be the third derivative of j**2 + 0*j + 1/1800*j**6 + 0 - 1/200*j**5 - 1/2*j**3 + 1/60*j**4. Let i(w) be the first derivative of h(w). Factor i(o).
(o - 2)*(o - 1)/5
Let f(a) = -a**5 - 2*a**4 + a**2 - a - 1. Let j(x) = 5*x**5 + 8*x**4 - 2*x**3 - 4*x**2 + 5*x + 4. Let u(c) = 4*f(c) + j(c). Factor u(r).
r*(r - 1)**2*(r + 1)**2
Factor 0 - 8/7*n**4 + 0*n**3 - 4/7*n**5 + 8/7*n**2 + 4/7*n.
-4*n*(n - 1)*(n + 1)**3/7
Let n(v) be the first derivative of -v**5/60 + v**4/8 - v**3/3 + 5*v**2 + 7. Let c(k) be the second derivative of n(k). Solve c(a) = 0.
1, 2
Let x be (42/(-4))/((8 + -5)/(-18)). Determine y, given that -4*y**2 - 30*y + 11*y**2 - x - 12 - 10*y**2 = 0.
-5
Let j be 426/1420 - (-11)/30. Factor -2/9*y**3 + 2/9*y + j*y**2 - 2/3.
-2*(y - 3)*(y - 1)*(y + 1)/9
Let i be (-2)/(-10) - 288/(-10). Suppose 2*p + 38 = 4*h, -4*h + h = -2*p - i. Factor -n**3 - h*n**2 - 2*n + n**3 - 4*n - 3*n**3.
-3*n*(n + 1)*(n + 2)
Let g = 4578 - 4578. Factor g + 0*v**2 + 0*v - 8/3*v**3 + 4/3*v**4.
4*v**3*(v - 2)/3
Let f(m) be the first derivative of -m**6/12 - m**5/10 + 3*m**4/8 + m**3/6 - m**2/2 + 213. Solve f(z) = 0.
-2, -1, 0, 1
Let u(c) be the third derivative of 5/42*c**7 + 0*c**3 + 1/12*c**5 - 5/12*c**4 + 1/3*c**6 + 0*c + 9*c**2 + 0. Find p, given that u(p) = 0.
-1, 0, 2/5
Suppose 5*n = n + 20, -4*n + 21 = -r. Let v = 3 - r. Let -4*y**2 - y + 0*y - v*y**3 + y**3 = 0. What is y?
-1, -1/3, 0
Let t be ((-32)/(-12))/(63/54) + -2. Let -4/7*f + 2/7*f**2 + t = 0. What is f?
1
Let s = 38 + -3. Suppose -12*p**3 - 12*p**3 + 14*p**3 - 35*p**2 + s*p**4 + 10*p = 0. What is p?
-1, 0, 2/7, 1
Let y(l) = l**2 + 20*l - 797. Let j be y(20). Let s(t) be the first derivative of 9*t + 5 + 21/2*t**2 + 2*t**j. Factor s(x).
3*(x + 3)*(2*x + 1)
Let y = 28 - 17. Suppose j = 15 - y. Let 2*f**3 + 78*f - 80*f + 3 - 3 - 5*f**j + 5*f**2 = 0. Calculate f.
-1, 0, 2/5, 1
Determine r, given that 5/6*r**3 - 7/6*r**2 + 7/6*r**4 + 1/6*r**5 - r + 0 = 0.
-6, -1, 0, 1
Let a(q) be the first derivative of -q**3/3 - 5*q**2/2 - 2*q - 4. Let u be a(-3). Factor -2/3*s**3 + s**u + s - 1/3*s**5 - 1/3 - 2/3*s**2.
-(s - 1)**4*(s + 1)/3
Let r(x) be the third derivative of x**9/60480 - x**8/6720 + x**7/2520 + 5*x**5/12 - 18*x**2. Let y(o) be the third derivative of r(o). Factor y(b).
b*(b - 2)*(b - 1)
Let s(g) = -g**3 + 3 + 0*g + 3*g**2 - 4*g + 2*g. Let t be s(2). Solve b**3 - 14*b**4 + 3*b**3 - b**t - 4*b**2 + 6*b**2 = 0.
-2/7, 0, 1/2
Let h(c) be the first derivative of c**5/10 - 4*c**4/3 + 16*c**3/3 - 4*c + 8. Let s(f) be the first derivative of h(f). Factor s(m).
2*m*(m - 4)**2
Let y(z) be the third derivative of z**5/135 + 7*z**4/18 + 76*z**3/27 - 2*z**2 - 11*z. Factor y(w).
4*(w + 2)*(w + 19)/9
Let h = -42 + 45. Factor 11*o - 11 + o**h - 3*o**2 + 6 - 4*o**2.
(o - 5)*(o - 1)**2
Let h(j) = -j**3 + 43*j**2 - 166*j + 393. Let w be h(39). Let 2/3*u**2 + 0 - 1/3*u**w - 1/3*u = 0. Calculate u.
0, 1
Let -2/7*w**3 - 1/7*w**5 + 0 + 0*w - 3/7*w**4 + 0*w**2 = 0. What is w?
-2, -1, 0
Let u be (24/7)/(-3*4/(-294)). Suppose 8 = -19*n + u. Factor m**2 + 0 + 3/2*m**3 - 1/2*m**5 + 0*m**n + 0*m.
-m**2*(m - 2)*(m + 1)**2/2
Let w(u) be the first derivative of -u**4/6 + 152*u**3/9 + 77*u**2/3 + 173. Factor w(q).
-2*q*(q - 77)*(q + 1)/3
Let i(o) be the third derivative of 2*o**7/21 + o**6/24 - 7*o**5/3 + 85*o**4/24 + 5*o**3 - 26*o**2 + 11*o. Solve i(n) = 0.
-3, -1/4, 1, 2
Determine k, given that -135*k**2 - 12*k**3 - 129*k**2 + 132*k + 213*k**2 + 47 - 11 = 0.
-6, -1/4, 2
Let a = 87/19 - 289/171. Let g(f) = f - 4. Let o be g(6). Find h, given that 2/3*h**o - 8/9 + a*h**3 + 8/9*h**4 - 32/9*h = 0.
-2, -1/4, 1
Let z(y) = -2*y + 3*y + 0*y + 2 + 4. Let w be z(-4). Factor 0*k**2 - 7*k**w - 3*k**2 + 4*k.
-2*k*(5*k - 2)
Let x be (-1687)/241 - (-81)/11. Solve -18/11*f**4 + 54/11*f**2 - x*f**3 - 24/11*f - 8/11 = 0 for f.
-2, -2/9, 1
Let n(y) be the third derivative of -y**7/504 - y**6/144 + y**5/12 - y**4/3 + 3*y**2. Let m(k) be the second derivative of n(k). Find p such that m(p) = 0.
-2, 1
Let z(j) be the second derivative of -5*j**4/12 - 125*j**3/3 - 597*j. Factor z(a).
-5*a*(a + 50)
Let g(f) be the third derivative of -f**7/63 - f**6/20 - 4*f**5/75 - f**4/45 + 180*f**2. Factor g(v).
-2*v*(v + 1)*(5*v + 2)**2/15
Let n = -42 - -32. Let x be 2/n*5/(-2). Suppose -5/2*z**4 + x*z**3 + 0 + 3/2*z**5 + 1/2*z**2 + 0*z = 0. Calculate z.
-1/3, 0, 1
Let p(w) be the second derivative of w**6/1080 - w**5/360 - w**3/3 - 16*w. Let t(a) be the second derivative of p(a). Find n, given that t(n) = 0.
0, 1
Let g = -14 - -19. Suppose 0 = -2*c + 3*c - g. Solve -4*o**2 - 2*o**4 - o**3 - o**2 + o**c + 7*o**2 = 0 for o.
-1, 0, 1, 2
Let s(p) = 15*p**3 + 15*p**2 - 8. Let d(b) = -5*b**3 - 5*b**2 + 3. Let t be (-9)/3 - (1 + -7). Let f(j) = t*s(j) + 8*d(j). Let f(q) = 0. What is q?
-1, 0
Let s(f) be the second derivative of -1/150*f**6 + 1/30*f**4 + 0*f**2 + 3*f + 0 - 1/100*f**5 + 0*f**3. Factor s(