2)
Let w(g) be the first derivative of -2*g**3/15 - 3*g**2/5 - 4*g/5 - 1. Factor w(p).
-2*(p + 1)*(p + 2)/5
Let y(g) = -25*g**2 + 33*g + 9. Let z(r) = 3*r**2 - 4*r - 1. Let c(p) = -6*y(p) - 51*z(p). Factor c(f).
-3*(f - 1)**2
Factor 7*p**5 + 2*p**3 - 5*p**5 + 2*p**4 - 4*p**5 - 2*p**2 + 0*p**3.
-2*p**2*(p - 1)**2*(p + 1)
Let b(o) be the third derivative of -o**6/40 - o**5/20 + o**4/8 + o**3/2 - 3*o**2. Factor b(i).
-3*(i - 1)*(i + 1)**2
Let a be (-1 + 1/(-1))/(450/(-75)). Factor -a*y**3 + 2/3*y + 0 + 1/3*y**2.
-y*(y - 2)*(y + 1)/3
Suppose -l - u = -2 + 5, l = 3*u + 17. Find v, given that -4*v - 19/2*v**l - 7/2*v**3 + 2 = 0.
-2, -1, 2/7
Let r(a) be the first derivative of -3*a**5/20 - a**4/4 + 13*a**3/12 - 3*a**2/4 + 8. Find y, given that r(y) = 0.
-3, 0, 2/3, 1
Let c(a) be the third derivative of a**10/30240 - a**9/15120 - a**8/6720 + a**7/2520 - a**4/6 - 2*a**2. Let w(z) be the second derivative of c(z). Factor w(b).
b**2*(b - 1)**2*(b + 1)
Let q(r) = r**2 + 10*r - 13. Let c be q(-11). Let p be c/(-9) - 1/(-36). What is l in 0 - 1/4*l**4 + 0*l**3 + 0*l**2 - p*l**5 + 0*l = 0?
-1, 0
Let g(a) be the third derivative of a**8/392 - a**7/147 - a**6/210 + a**5/35 - a**4/84 - a**3/21 + 4*a**2. Let g(n) = 0. What is n?
-1, -1/3, 1
Let d(b) be the third derivative of 1/30*b**5 + 0 + 0*b**3 - 6*b**2 - 1/105*b**7 + 0*b**6 + 0*b + 0*b**4. Factor d(i).
-2*i**2*(i - 1)*(i + 1)
Let 4/9*p - 4/3*p**2 - 4/9*p**3 + 4/3 = 0. What is p?
-3, -1, 1
Let h be 3/(-6) - (-18)/4. Suppose -6*k**2 + 5*k**2 + 2*k**3 + 3*k**3 + k**4 - k**5 - h*k**3 = 0. What is k?
-1, 0, 1
Factor 9/7*a - 3/7*a**2 - 6/7.
-3*(a - 2)*(a - 1)/7
Let g(d) be the first derivative of 30*d**3 + d**5 - 1/18*d**6 + 81*d - 135/2*d**2 - 1 - 15/2*d**4. Let g(h) = 0. What is h?
3
Let -60*h**3 + 0*h - 72*h**2 - 1/2*h**5 + 0 + 23/2*h**4 = 0. Calculate h.
-1, 0, 12
Factor -3/4*b**2 + 0*b + 1 - 1/4*b**3.
-(b - 1)*(b + 2)**2/4
Solve 0*w + 2/5*w**3 + 2/5*w**2 + 0 - 2/5*w**4 - 2/5*w**5 = 0.
-1, 0, 1
Let p(q) be the third derivative of q**8/392 + q**7/735 - q**6/84 - q**5/210 + q**4/42 - 17*q**2. Determine b, given that p(b) = 0.
-1, 0, 2/3, 1
Let u(l) be the first derivative of 3*l**5/20 - 3*l**4/4 + 5*l**3/4 - 3*l**2/4 + 4. Factor u(x).
3*x*(x - 2)*(x - 1)**2/4
Suppose 0 = -4*v + 2*k + 4 + 12, -v + 2*k = -1. What is w in -w**2 - w + 5 - v = 0?
-1, 0
Let o = 3/8 - -1/8. Let m(l) be the first derivative of 2/5*l**5 - 2 + o*l**4 + 0*l - 2/3*l**3 - l**2. Suppose m(d) = 0. What is d?
-1, 0, 1
Let m = 5 + 9. Solve m*p**2 - p - p - 2 - 15*p**2 + 1 = 0 for p.
-1
Let t = -6/19 - -43/76. Solve 0*g - 1/4*g**2 + t = 0 for g.
-1, 1
Let v(b) be the first derivative of 2/3*b**3 + 2*b + 3 + 2*b**2. Factor v(d).
2*(d + 1)**2
Let j(z) be the second derivative of z**7/588 + z**6/180 - 2*z**5/105 - z**4/21 - 2*z**3/3 - z. Let f(s) be the second derivative of j(s). Factor f(k).
2*(k - 1)*(k + 2)*(5*k + 2)/7
Let d(o) be the first derivative of 0*o + 1/20*o**5 + 0*o**2 + 1/12*o**3 - 1/8*o**4 - 7. Factor d(l).
l**2*(l - 1)**2/4
Suppose -5*z = -8*z + 15. Factor 13*o**2 + z + 20*o + 3*o**2 - 1.
4*(o + 1)*(4*o + 1)
Let n(c) be the second derivative of -c**6/105 - 2*c**5/35 - 5*c**4/42 - 2*c**3/21 + 6*c. Factor n(v).
-2*v*(v + 1)**2*(v + 2)/7
Let 1/2*y**4 - 1/2*y**3 + 1/4*y**5 + 1/4*y - y**2 + 1/2 = 0. What is y?
-2, -1, 1
Factor 73*k - 3*k**3 + 2*k**2 - 73*k + k**5.
k**2*(k - 1)**2*(k + 2)
Let y(a) be the second derivative of 3/20*a**5 + 3*a + 0*a**2 + 0 + 0*a**3 - 1/10*a**6 + 0*a**4. Suppose y(f) = 0. Calculate f.
0, 1
Let 288/5*h + 2/5*h**3 + 0 - 48/5*h**2 = 0. What is h?
0, 12
Suppose -5*v - 4*l = 10, -l + 0 - 5 = 0. Let p(f) be the third derivative of 0*f**3 + 0*f + 2*f**v + 0 - 1/36*f**4 + 1/180*f**5. Factor p(d).
d*(d - 2)/3
Let c be (-4)/3*(-8 - -5). Let a be 16/6 - 2/(-6). Factor -3 + m**2 - m**c - m**3 + a + m.
-m*(m - 1)*(m + 1)**2
Let x(l) be the first derivative of 0*l**3 + 1/4*l**4 + 0*l**2 + 0*l - 1/5*l**5 - 2. Suppose x(v) = 0. Calculate v.
0, 1
Factor 10*r**4 - 11*r**2 + 6*r**2 + 14*r**3 - 5*r**2 - 6*r**2 - 8*r.
2*r*(r - 1)*(r + 2)*(5*r + 2)
Let n be (-6)/2*(1 - 2). Let v = -7 + 11. Find f, given that -4*f**3 - v*f + 6*f**n + 2*f = 0.
-1, 0, 1
Suppose 4*h + 3 = 3. Find q, given that h - 2/5*q**2 + 2/5*q = 0.
0, 1
Let x(b) be the second derivative of b**4/6 - 4*b**2 + 34*b. What is f in x(f) = 0?
-2, 2
Let d(a) be the third derivative of -a**7/6300 + a**6/900 - a**4/24 - a**2. Let p(z) be the second derivative of d(z). Suppose p(n) = 0. Calculate n.
0, 2
Let v(q) be the second derivative of 6*q - 1/2*q**3 + 3/20*q**5 - 3/10*q**6 + 0 - 3*q**2 + 5/4*q**4. Find l, given that v(l) = 0.
-1, -2/3, 1
Let p(i) be the second derivative of -2/3*i**4 + 0 + 5/3*i**3 - i - 2*i**2 + 1/10*i**5. Determine t, given that p(t) = 0.
1, 2
Let i(q) = 4*q**3 + 40*q**2 + 48*q + 8. Let t(b) = -b**3 - 13*b**2 - 16*b - 3. Let p(d) = 3*i(d) + 8*t(d). Find a such that p(a) = 0.
-2, 0
Let f(p) be the second derivative of p**5/4 - 5*p**4/12 - 10*p**3/3 + 10*p**2 - 12*p. Let f(t) = 0. What is t?
-2, 1, 2
Let j be 3 - ((-48)/(-1))/(-4). Let n be 2/4*10/j. Factor 0*t**3 + 0*t**2 + 0*t + 1/3*t**4 + n*t**5 + 0.
t**4*(t + 1)/3
Let s(r) be the second derivative of 0*r**2 - 1/8*r**4 - 1/6*r**3 + 4*r + 0*r**5 + 1/60*r**6 + 0. Let s(t) = 0. Calculate t.
-1, 0, 2
Let d(q) = -7*q**2 + 26*q - 106. Let o(k) = k**2 - k + 1. Let r(p) = d(p) + 6*o(p). Let r(c) = 0. Calculate c.
10
Suppose -5*x + 4*c = 1, 0*x - x - 2*c + 11 = 0. Factor 4 - n**2 - 2*n + 4*n - 3*n**2 - 2*n**x + 0*n**3.
-2*(n - 1)*(n + 1)*(n + 2)
Let y(d) = 16*d**3 + 20*d**2 + 25*d - 1. Let a(p) = 3*p**3 + 4*p**2 + 5*p. Suppose -1 = x + 10. Let m(t) = x*a(t) + 2*y(t). Factor m(s).
-(s + 1)**2*(s + 2)
Factor z + 1/2 - 1/2*z**4 - z**3 + 0*z**2.
-(z - 1)*(z + 1)**3/2
Let a(p) be the second derivative of -p**4/9 + 4*p**3/9 + 16*p**2/3 - 26*p. Suppose a(o) = 0. Calculate o.
-2, 4
Let o(d) = -4*d**4 - 9*d**3 - 30*d**2 - 38*d - 24. Let h(w) = 9*w**4 + 18*w**3 + 60*w**2 + 74*w + 48. Let r(i) = -6*h(i) - 14*o(i). Factor r(q).
2*(q + 2)**3*(q + 3)
Determine i so that -6*i**4 - 22 - i + 7*i**2 - 5*i**3 + 6*i + 21 = 0.
-1, 1/6, 1
Let h(v) be the second derivative of -v**7/210 - v**6/60 - v**5/60 - 3*v**2/2 - 3*v. Let z(o) be the first derivative of h(o). Factor z(l).
-l**2*(l + 1)**2
Suppose 0 = 5*q + 4*k - 32, 2*q + 3*k = 6*q - 7. Factor p + 1/4*p**q + p**3 + 1/4 + 3/2*p**2.
(p + 1)**4/4
Let j(g) = 1214*g**2 - 2*g - 1. Let i be j(-1). Let -45*c**4 + 270*c**2 - i*c + 0*c**5 - 729 - 117*c**3 - 3*c**5 - 1080*c**2 - 153*c**3 = 0. What is c?
-3
Let b(s) be the third derivative of 0 - 2/15*s**3 - 5*s**2 + 0*s + 1/150*s**5 - 1/60*s**4. Factor b(o).
2*(o - 2)*(o + 1)/5
Factor 0*q - 27 - 18*q - 5*q**2 + 2*q**2.
-3*(q + 3)**2
Suppose 25 = 11*w - 6*w. Factor 5 - w + 2*b**2 + 0*b**2.
2*b**2
Suppose -157*i = -153*i - 8. Factor -1/6*x - 1/6 + 1/3*x**i.
(x - 1)*(2*x + 1)/6
Suppose -2*p - 6 = 0, -p + 1 = l + 4. Let f be (l + 2)/((-4)/(-6)). Let -1/2 - 3/2*t**f + 1/4*t + 7/4*t**2 = 0. What is t?
-1/2, 2/3, 1
Let h be (15/6 - 3)*-4. Determine d so that 2*d - 2*d**3 - 2*d**2 + 2 - 4*d**2 + 2*d**h + 2 = 0.
-2, -1, 1
Let n(h) be the first derivative of 1 - 2/5*h**5 + 0*h**2 + 0*h - 1/4*h**4 - 1/6*h**6 + 0*h**3. Solve n(b) = 0 for b.
-1, 0
Suppose -7*c + 10*c = 99. Let t be (-6)/c - (-48)/22. Find a, given that -2/9*a + 0*a**4 + 0*a**t - 2/9*a**5 + 4/9*a**3 + 0 = 0.
-1, 0, 1
Suppose -12 = -b - 3. Let r = b + -5. Let 3*j**3 + 1/3*j + 4/3*j**r + 2*j**2 + 0 = 0. What is j?
-1, -1/4, 0
Let y be ((-6)/7)/(51/(-238)). Let q(i) = -i**2 - 4*i + 4. Let h(x) = 11*x + 5*x**2 - 6 - 5 - 2*x**2. Let p(g) = y*h(g) + 11*q(g). Suppose p(s) = 0. What is s?
0
Let p(g) be the first derivative of 0*g - 1/6*g**2 - 1/4*g**4 - 1/15*g**5 - 1 - 1/3*g**3. Factor p(b).
-b*(b + 1)**3/3
Let h(u) = u**5 - u**3 + u**2 + u + 1. Let n(i) = -26*i**5 + 36*i**4 - 4*i**3 - 11*i**2 - 5*i - 5. Let j(a) = 5*h(a) + n(a). Factor j(d).
-3*d**2*(d - 1)**2*(7*d + 2)
Let u(c) be the third derivative of 0*c**5 + 1/2*c**4 - 4/3*c**3 - 7*c**2 + 0*c + 0 - 1/30*c**6. Find i such that u(i) = 0.
-2, 1
Let l(b) be the first derivative of b**7/42 + 7*b**6/120 - 2*b**5/15 - b**4/6 + 9*b**2/2 + 6. Let j(s) be the second derivative of l(s). Solve j(u) = 0.
-2, -2/5, 0, 1
Suppose 23 = 5*x - 0*b 