 13. Factor u(z).
z**2*(z - 2)*(z + 1)**2
Let l(t) be the second derivative of t**6/80 - t**4/16 + 3*t**2/16 - 20*t. Factor l(i).
3*(i - 1)**2*(i + 1)**2/8
Let r(x) be the second derivative of -1/27*x**3 + 2/135*x**6 + 0 + 0*x**5 + 9*x + 1/189*x**7 + 0*x**2 - 1/27*x**4. Factor r(b).
2*b*(b - 1)*(b + 1)**3/9
Let k be ((-12)/25)/2 + 0. Let b = k + 68/75. Factor 2/3*o**2 - 4/3*o + b.
2*(o - 1)**2/3
Let f(p) be the second derivative of 1/72*p**4 + 1/40*p**5 + 0*p**2 - 3*p - 1/36*p**6 + 0 - 1/36*p**3 + 1/126*p**7. Determine x, given that f(x) = 0.
-1/2, 0, 1
Let m be 1/(-6) + 104/48. Suppose m*a - c - 1 = 1, 5*a - c = 11. Factor -4/9*w**2 - 2/9*w**a + 0 - 2/9*w.
-2*w*(w + 1)**2/9
Let p(k) be the first derivative of k**5 - 17*k**4/4 + 16*k**3/3 - 2*k**2 + 11. Solve p(q) = 0 for q.
0, 2/5, 1, 2
Let i(l) be the second derivative of -l**5/90 + l**4/54 - 6*l. Determine h, given that i(h) = 0.
0, 1
Let -10/7*g - 8/7*g**2 - 2/7*g**3 - 4/7 = 0. Calculate g.
-2, -1
Let j(w) = -w**3 - 16*w**2 - 7*w + 124. Let s be j(-15). Solve -1/4*d**5 + 0 + 0*d + 0*d**2 + 1/2*d**3 - 1/4*d**s = 0.
-2, 0, 1
Let j(z) be the first derivative of 2/3*z**3 + 0*z**2 + 0*z + 1/240*z**5 - 1/720*z**6 - 1 + 1/24*z**4. Let s(b) be the third derivative of j(b). Factor s(n).
-(n - 2)*(n + 1)/2
Suppose 0 = 3*y - 5*v + 9, 0 = 5*v + 3 - 18. Let u(i) be the first derivative of 1 - i**y + 0*i + 1/3*i**3. Determine d, given that u(d) = 0.
0, 2
Let s(o) be the first derivative of -1/2*o**4 - 2/3*o**3 - 4*o**2 - 1 - 4*o. Let t(i) = 2*i**3 + 3*i**2 + 7*i + 3. Let r(y) = 3*s(y) + 4*t(y). Factor r(x).
2*x*(x + 1)*(x + 2)
Suppose -2*q - 3*b = 6, -4*q + 4*b = -9 - 19. Factor -12*d**2 + 26*d**2 - 11*d**2 - 15*d + 15*d**q - 3.
3*(d - 1)*(d + 1)*(5*d + 1)
Let w be (-46)/(-14) + (-8)/28. Suppose -2*z - 9 = -5*z. Factor 0 + w*n**z + 3/2*n**2 - 3/2*n.
3*n*(n + 1)*(2*n - 1)/2
Let v be ((-140)/(-21) + -8)/(-1). Factor 2*q + v + 2/3*q**2.
2*(q + 1)*(q + 2)/3
Suppose -27*q = -33 - 48. Factor -8/5 - 122/5*o**2 + 84/5*o**q - 18/5*o**4 + 56/5*o.
-2*(o - 2)**2*(3*o - 1)**2/5
Let c(t) = -180*t**4 + 44*t**3 + 126*t**2 + 10*t + 26. Let l(b) = -20*b**4 + 5*b**3 + 14*b**2 + b + 3. Let q(m) = 6*c(m) - 52*l(m). Suppose q(h) = 0. What is h?
-1/2, -2/5, 0, 1
Factor 0 + 0*l - 1/5*l**4 + 4/5*l**3 + 0*l**2.
-l**3*(l - 4)/5
Let c(w) be the second derivative of -2*w**6/3 + 18*w**5/5 - 4*w**4 - 16*w**3/3 + 3*w. Factor c(r).
-4*r*(r - 2)**2*(5*r + 2)
Let p be (3/(-73))/(12/8). Let x = 65/292 - p. Determine j, given that 0*j - x + 1/4*j**2 = 0.
-1, 1
Let d(m) be the second derivative of m**5/20 + 5*m**4/12 + 7*m**3/6 + 3*m**2/2 + 2*m. Factor d(h).
(h + 1)**2*(h + 3)
Solve -5/2*i + 0*i**3 + 0 - 5*i**4 + 5*i**2 + 5/2*i**5 = 0.
-1, 0, 1
Let u(d) be the third derivative of -d**6/600 + d**4/40 + d**3/15 - d**2. Let u(m) = 0. What is m?
-1, 2
Let k(y) be the second derivative of -5*y**4/6 - 4*y**3/3 + y**2 + y. Determine c, given that k(c) = 0.
-1, 1/5
Find j, given that 3/4 + 1/4*j**2 - j = 0.
1, 3
Let v(l) be the first derivative of -121*l**5 - 55*l**4 - 20*l**3/3 - 3. Solve v(c) = 0.
-2/11, 0
Suppose 5*r - 2*r = 0. Suppose 4*d - n - 16 = 0, -3*n + 8 + r = 2*d. Suppose -3*p**d - 10/3*p**5 + 0 + 3*p**2 + 2/3*p + 8/3*p**3 = 0. Calculate p.
-1, -1/2, -2/5, 0, 1
Let t(k) be the third derivative of -k**8/70560 - k**7/17640 + k**6/1260 + k**5/15 + 5*k**2. Let w(a) be the third derivative of t(a). Factor w(n).
-2*(n - 1)*(n + 2)/7
Let s be (6/2 - (-29)/(-5)) + 3. Suppose 2/5*d**3 - s*d - 1/5 + 2/5*d**2 - 1/5*d**4 - 1/5*d**5 = 0. Calculate d.
-1, 1
Let y(o) be the first derivative of 3*o**5/25 - o**4/5 - 2*o**3/15 + 2*o**2/5 - o/5 + 11. Let y(m) = 0. Calculate m.
-1, 1/3, 1
Let l(x) be the first derivative of 2*x**5/35 + x**4/14 - 8*x**3/21 - 4*x**2/7 + 40. Find q such that l(q) = 0.
-2, -1, 0, 2
Solve 8/3 + 242/3*h**2 - 88/3*h = 0 for h.
2/11
Let h(j) be the second derivative of j**5/40 + j**4/10 + j**3/15 - 6*j. Factor h(q).
q*(q + 2)*(5*q + 2)/10
Let k be ((-24)/42)/((-4)/14). Let 9*p**3 - 6*p**k - 3*p**4 + 0 - 1 + 1 = 0. Calculate p.
0, 1, 2
Let s(x) = 4*x**2 + 20*x + 27. Let g(u) = -4*u**2 - 20*u - 26. Let p(m) = -3*g(m) - 2*s(m). Factor p(d).
4*(d + 2)*(d + 3)
Let f(j) be the third derivative of -j**5/330 - j**4/66 + j**3/11 + 7*j**2. Factor f(t).
-2*(t - 1)*(t + 3)/11
Suppose -3*h = -6*h. Let m = h - -2. Factor -x + 2*x**m + 4*x**2 - 2*x**2 - 5*x**2.
-x*(x + 1)
Let 0 - 8/3*r**4 - 4/3*r**2 + 0*r + 10/3*r**3 + 2/3*r**5 = 0. Calculate r.
0, 1, 2
Factor -8*m**2 + 78*m**4 - m**3 + 0*m**3 - 3*m**3 - 70*m**4 + 4*m**5.
4*m**2*(m - 1)*(m + 1)*(m + 2)
Factor n**3 - 4/3*n + 0*n**2 + 0 - 1/3*n**4.
-n*(n - 2)**2*(n + 1)/3
Let x(o) be the first derivative of 8/9*o**3 + 4/3*o + 5/3*o**2 - 5 + 1/6*o**4. Factor x(s).
2*(s + 1)**2*(s + 2)/3
Suppose -62*z**2 + 28*z**5 + 58*z**3 + 94*z**2 + 86*z**3 + 120*z**4 = 0. What is z?
-2, -2/7, 0
Let w(x) be the first derivative of 3 + 2/3*x**3 + 0*x - 2/5*x**2. Solve w(l) = 0.
0, 2/5
Let -5/3*g**3 + 1/3*g**4 + 8/3*g - 1/3*g**2 - 4/3 + 1/3*g**5 = 0. Calculate g.
-2, 1
Let d = 30 + -26. Let p(k) be the first derivative of -4*k + 0*k**2 + k**3 - 1 + 1/4*k**d. Factor p(m).
(m - 1)*(m + 2)**2
Let y = 11 + -6. Suppose r**4 + 8*r**4 - 4*r**4 - 3*r**y - 2*r**3 = 0. Calculate r.
0, 2/3, 1
Suppose z - 2*z - 11 = -2*i, 3*i = -2*z - 1. Let j(k) be the third derivative of 0*k**4 + 0 + 0*k**3 - 1/90*k**5 - i*k**2 + 0*k. Solve j(f) = 0 for f.
0
Find s, given that 0 - 1/9*s**2 + 2/9*s = 0.
0, 2
Let s be (-3)/((-9)/12) + -3. Let q(y) = y**5 - y**2 - y - 1. Let k(o) = -o**5 - 2*o**4 + o**3 + 2*o**2 + 2*o + 2. Let u(f) = s*k(f) + 2*q(f). Factor u(j).
j**3*(j - 1)**2
Suppose 8*t = -0*t + 24. Let -2/3*a**4 + 0*a + 0 + 2/3*a**t + 2/3*a**2 - 2/3*a**5 = 0. Calculate a.
-1, 0, 1
Suppose -2*a + 8 + 2 = 0. Let h(i) = -9*i**3 - i**2 - i + 1. Let w(d) = -5*d**3 - d**2 - d + 1. Let c(k) = a*w(k) - 3*h(k). Let c(m) = 0. What is m?
-1, 1
Let o(g) be the second derivative of g**4/6 - g**3/3 - 26*g. Factor o(y).
2*y*(y - 1)
Let 0*h**3 + 0*h**2 + 0 - 2/7*h**4 - 2/7*h**5 + 0*h = 0. What is h?
-1, 0
Let l(o) be the first derivative of 2*o**5/35 + 5*o**4/14 + 2*o**3/3 + 3*o**2/7 - 1. Factor l(d).
2*d*(d + 1)**2*(d + 3)/7
Factor 4/9*l**2 + 0 + 2/9*l**3 + 2/9*l.
2*l*(l + 1)**2/9
Let l = 4 + -2. Factor -3*w**2 - w**2 - 2*w**l + 0*w**2 + 2*w.
-2*w*(3*w - 1)
Let n = -1015 - -1018. Factor 0*k + 1/5*k**n + 0*k**2 + 0.
k**3/5
Suppose 2 = -10*y + 2. Let r(z) be the third derivative of 0*z - 1/90*z**5 - 2/9*z**3 + y - 2*z**2 - 1/12*z**4. Suppose r(l) = 0. Calculate l.
-2, -1
Suppose w - 1 = 1. Find q such that -3*q**2 + 7*q**2 - 2*q**w = 0.
0
Let r(h) be the second derivative of h**6/40 - 2*h**2 + 4*h. Let c(a) be the first derivative of r(a). Factor c(o).
3*o**3
Factor -9/2*v**3 + 1/2*v**4 + 27/2*v**2 + 0 - 27/2*v.
v*(v - 3)**3/2
Let v(z) be the third derivative of -z**6/600 + z**5/300 + z**4/60 - 32*z**2. Factor v(o).
-o*(o - 2)*(o + 1)/5
Let a be (-100)/(-175)*7/3. Solve -2/3 + a*m - 2/3*m**2 = 0 for m.
1
Let m(w) be the second derivative of w**6/75 - w**5/25 + w**4/30 - 12*w. Factor m(l).
2*l**2*(l - 1)**2/5
Suppose -14*u = -30*u. Factor 0 - 3/2*f**2 + u*f.
-3*f**2/2
Suppose 0 = -4*m + 16 + 4. Suppose 0 = 3*k - m*k. Factor k*f**2 + 4/7 - 2/7*f**3 + 6/7*f.
-2*(f - 2)*(f + 1)**2/7
Let x(o) be the second derivative of -3*o**5/100 + o**4/60 + o**3/15 - 12*o. Determine u, given that x(u) = 0.
-2/3, 0, 1
Let a(o) = -7*o**2 + 2. Let w(b) = 3*b**2 - 1. Let j(q) = 4*a(q) + 10*w(q). Factor j(h).
2*(h - 1)*(h + 1)
Let t = -1379/10 + 138. Let n(g) be the first derivative of 1/6*g**3 + 2 - 1/8*g**4 - t*g**5 + 1/4*g**2 + 0*g. Determine x so that n(x) = 0.
-1, 0, 1
Let q(i) be the third derivative of -i**5/75 - i**4/10 + 6*i**2. Factor q(v).
-4*v*(v + 3)/5
Let k(h) be the first derivative of h**4/6 - 4*h**3/3 + 4*h**2 + 6*h + 3. Let y(u) be the first derivative of k(u). Suppose y(b) = 0. Calculate b.
2
Let t(k) be the first derivative of -15*k**4/4 + 10*k**3/3 + 25*k**2/2 - 20*k + 23. Let t(j) = 0. What is j?
-4/3, 1
Let f be (-207)/(-63) + (-2)/7. Find w such that 0*w + 0*w**f - 1/2*w**2 + 0 + 1/2*w**4 = 0.
-1, 0, 1
Let v = 39/2 - 191/10. Let g(y) be the first derivative of 1 + v*y**5 - 2/3*y**3 + 0*y**4 + 0*y - 1/2*y**2 + 1/6*y**6. Solve g(m) = 0.
-1, 0, 1
Let l(w