**3.
2*f*(f - 1)**2*(5*f + 2)/5
Factor 1/3*z**3 + 0*z + 0 + 1/3*z**2.
z**2*(z + 1)/3
Factor -2*q**2 + 7*q**2 - 228*q + 193*q.
5*q*(q - 7)
Let w = -50 - -118. Let x be w/85 - 4/10. Factor -2/5*c**3 + 0 + 0*c + x*c**2.
-2*c**2*(c - 1)/5
Suppose -2/7*i**2 + 0*i + 2/7 = 0. What is i?
-1, 1
Let u(x) = -8*x**4 + 7*x**3 - 9*x**2 - x + 5. Let m(w) = 7*w**4 - 7*w**3 + 9*w**2 - 4. Let r(v) = -6*m(v) - 5*u(v). Let r(g) = 0. Calculate g.
1/2, 1
Let y(o) be the first derivative of 0*o - 3/2*o**2 - 4 - o**3. Solve y(f) = 0.
-1, 0
Let j be 1226/10 - (6 - 5). Let h = 122 - j. What is u in -h + 3/5*u**2 - 1/5*u**4 + 1/5*u**3 - 1/5*u = 0?
-1, 1, 2
Let q be ((-43)/(-602))/((-2)/(-14)). Factor -q*h**2 - 3/2 + 2*h.
-(h - 3)*(h - 1)/2
Let h(z) = -z**2 + 13*z + 116. Let j be h(-6). Factor -l**3 + 1/2*l**5 + 0*l**j - 1/2*l**4 + 0*l + 0.
l**3*(l - 2)*(l + 1)/2
Let n(s) be the third derivative of 1/210*s**7 + 0*s - s**2 - 1/30*s**5 + 1/60*s**6 - 1/24*s**4 - 1/336*s**8 + 0 + 1/6*s**3. Suppose n(a) = 0. What is a?
-1, 1
Factor 0 - 1/5*n**3 - 4/5*n - n**2.
-n*(n + 1)*(n + 4)/5
Let k be (-8)/(-6)*(-18)/(-12). Let j be 6/36 + 1/k. Find y, given that -2/9*y**2 - j*y**3 + 0 + 4/9*y = 0.
-1, 0, 2/3
Suppose 0*r = 2*r - 6. Suppose 3*v - 5*l - 6 - 15 = 0, 5*v - 4*l - 22 = 0. Factor 1/2*h**r - v*h**2 - 1 + 5/2*h.
(h - 2)*(h - 1)**2/2
Let p(i) = i + 3. Let c be p(7). Suppose 5*o = -0*o + c. Factor -3*n**o - 6 + 7*n - 3*n + 10*n - 5*n.
-3*(n - 2)*(n - 1)
Suppose -16 = 3*b - 43. Suppose 7*v + 6 = b*v. Factor 2/7*n**v + 0 + 0*n + 2/7*n**2.
2*n**2*(n + 1)/7
Let y(b) = -b**3 - 2*b**2 + 7*b - 1. Let l be y(-4). Let z(q) be the second derivative of q**2 + 1/10*q**5 + 1/2*q**4 + q**l + 0 - 2*q. What is n in z(n) = 0?
-1
Factor -1/2*b**5 + 1/2*b**2 + 0 + 1/2*b**3 + 0*b - 1/2*b**4.
-b**2*(b - 1)*(b + 1)**2/2
Determine h, given that -1/3*h**4 - 2/3*h + 2/3*h**3 + 1/3 + 0*h**2 = 0.
-1, 1
Let d = 24 + -17. Let r = d + -5. Solve 2*c - r + 2 - 2*c**3 = 0 for c.
-1, 0, 1
Let r(g) = 3*g**3 + 3*g**2 + 7*g + 5. Let m(k) = -7*k**3 - 5*k**2 - 14*k - 11. Let p(f) = 4*m(f) + 10*r(f). Determine a so that p(a) = 0.
-3, -1
Let d(k) = -k - 5. Let s be d(-5). Find q, given that -12*q**3 + q - 4*q**2 - 8*q**4 + s*q - 2*q**5 - 3*q - 4*q**2 = 0.
-1, 0
Let f(j) = -j**3 - 5*j**2 + 7*j - 8. Let y be f(-6). Let g be ((-8)/y)/((-18)/(-7)). Factor 2/9*h**2 + g - 4/9*h.
2*(h - 1)**2/9
Suppose -3*c = -2*p + c - 12, 2 = -3*p - 2*c. Let v = p + 4. Factor w**3 + 3*w**3 + 4*w**2 - v*w**3.
2*w**2*(w + 2)
Let n(q) = -2*q - 2. Let c be n(-2). Let h be ((-2)/6)/(1/(-63)). Suppose h - 3*l**3 - 6*l**c - 21 = 0. What is l?
-2, 0
Suppose 5*i + 5 + 40 = 0. Let g = -5 - i. Factor -1/3*j**g + 0*j**3 - 1/3 + 0*j + 2/3*j**2.
-(j - 1)**2*(j + 1)**2/3
Let f be (-2)/(-35) + 130/(-2275). Solve 3*t**2 + f*t - 3/2*t**3 + 0 - 3/2*t**4 = 0 for t.
-2, 0, 1
Let z be -1 - 6/((-3600)/605). Let f(r) be the third derivative of -r**2 + 0*r**3 + 1/300*r**5 + 0*r + 0 - 1/1050*r**7 + z*r**4 - 1/600*r**6. Factor f(u).
-u*(u - 1)*(u + 1)**2/5
Let z = -5 - -6. Let f(q) = 2*q. Let y be f(z). Factor y + 0*l - 3*l**2 - 2*l + l.
-(l + 1)*(3*l - 2)
Let -5/3*l**2 - 5 + 20/3*l = 0. What is l?
1, 3
Let d(o) be the first derivative of 0*o + 2 + 1/4*o**3 + 0*o**2. Factor d(q).
3*q**2/4
Factor 16*y**3 - 12*y - 7*y**2 + 13*y**2 - 8 - 3*y**5 - y**5 + 2*y**2.
-4*(y - 2)*(y - 1)*(y + 1)**3
Let -1/2*u + 1/3*u**2 - 1/3 = 0. What is u?
-1/2, 2
Let u(z) be the second derivative of z**5/60 - z**4/9 - z**3/6 + 3*z**2 + 9*z. Factor u(d).
(d - 3)**2*(d + 2)/3
Suppose 2*m + z - 1 = -20, 3 = -z. Let p be m/36 - 64/(-45). Determine b, given that 2/5 + 6/5*b**2 - 2/5*b**3 - p*b = 0.
1
Let k(u) be the third derivative of -u**8/28 + 16*u**7/105 - 7*u**6/30 + 2*u**5/15 - 9*u**2. Let k(d) = 0. What is d?
0, 2/3, 1
Let z be (-7 + 2)*(-8)/20. Factor -10*a**2 + z*a + 4*a - 5*a**2 + 21*a**3 - 9*a**4 - 3*a.
-3*a*(a - 1)**2*(3*a - 1)
Let k = -79 + 245/3. Factor -8/3*y**2 + 2/3*y**5 - k*y**4 + 2/3*y + 4*y**3 + 0.
2*y*(y - 1)**4/3
Let y(c) be the third derivative of -c**8/1008 + c**6/90 + c**5/90 - c**4/24 - c**3/9 + 7*c**2. Factor y(j).
-(j - 2)*(j - 1)*(j + 1)**3/3
Let k(d) be the first derivative of -2*d**3/27 + 8*d**2/9 - 32*d/9 - 5. Let k(l) = 0. Calculate l.
4
Let k(t) be the second derivative of -1/4*t**3 - 1/8*t**2 + 3*t - 1/8*t**5 - 1/40*t**6 - 1/4*t**4 + 0. Factor k(a).
-(a + 1)**3*(3*a + 1)/4
Let d(b) be the first derivative of b**8/168 + 2*b**7/105 + b**6/60 + b**2 - 3. Let h(g) be the second derivative of d(g). Factor h(s).
2*s**3*(s + 1)**2
Factor -64/7*w**3 + 0 + 4*w**4 + 16/7*w**2 + 0*w.
4*w**2*(w - 2)*(7*w - 2)/7
Let l be (-3 - -21)/3 + -2. Let s(y) = -l*y + 15*y - y**2 + 2*y. Let p(n) = -n**2 + 9*n. Let t(g) = 7*p(g) - 5*s(g). Solve t(r) = 0 for r.
-1, 0
Let b(n) be the second derivative of n + 0*n**2 - 1/36*n**3 + 0 - 1/72*n**4. Factor b(g).
-g*(g + 1)/6
Let a(m) be the second derivative of m**7/147 + m**6/105 - 3*m**5/70 - m**4/42 + 2*m**3/21 + 5*m. Suppose a(t) = 0. What is t?
-2, -1, 0, 1
Solve 32/3 - 1/3*g**4 + 0*g + 3*g**3 - 22/3*g**2 = 0 for g.
-1, 2, 4
Let u(g) = -2*g**2 - 8*g - 18. Let b(o) = o + 1. Let h(m) = -28*b(m) - 2*u(m). Factor h(s).
4*(s - 2)*(s - 1)
What is i in 2/3*i**3 + 0*i + 0 - 10/9*i**4 + 4/9*i**2 = 0?
-2/5, 0, 1
Let c(w) be the third derivative of 0 + 0*w**3 - 1/600*w**6 + 1/120*w**4 - 2*w**2 + 0*w + 1/300*w**5 - 1/1050*w**7. Determine o, given that c(o) = 0.
-1, 0, 1
Let i(d) be the first derivative of 4*d**5/5 + 6*d**4 + 4*d**3/3 - 48*d**2 + 64*d + 1. What is b in i(b) = 0?
-4, 1
Let m(w) be the second derivative of -2*w**2 + w + 4/9*w**3 + 1/9*w**4 + 0. Let m(v) = 0. What is v?
-3, 1
Let q = -1 - -4. Let r(m) be the second derivative of -1/6*m**4 + 0*m**2 + 0 + 2/3*m**q + 2*m. Factor r(s).
-2*s*(s - 2)
Let g(n) be the third derivative of 0*n - 3/140*n**7 + 0*n**4 - 1/20*n**6 + 0 + 1/10*n**5 + 5*n**2 + 0*n**3. Factor g(l).
-3*l**2*(l + 2)*(3*l - 2)/2
Let r(u) be the first derivative of 2*u**4 - 4*u**3 + 2*u**2 - 2. Suppose r(b) = 0. What is b?
0, 1/2, 1
Let t(v) be the second derivative of -v**6/30 - v**5/10 - v**4/12 + 10*v. Factor t(a).
-a**2*(a + 1)**2
Let m(f) be the first derivative of 0*f + 0*f**2 - 1/12*f**4 + 0*f**3 - 1 + 2/15*f**5 - 1/18*f**6. Find s, given that m(s) = 0.
0, 1
Let n(x) be the second derivative of -x**5/20 + x**4/2 - 2*x**3/3 - x**2/2 + x. Let f be n(5). Factor -1 + s**f - 2*s**3 + 0*s**3 + 2*s + 0*s.
(s - 1)**3*(s + 1)
Let a(t) = -t**3 - 5*t**2 - 3*t + 6. Let f be a(-4). Find y, given that 2/7*y**3 + 0*y**f - 2/7*y + 0 = 0.
-1, 0, 1
Let b(q) = -q**3 + 2*q**2 + 3*q - 4. Let z be b(3). Let o = -1 - z. Factor 1/2*h**o + 1/2*h + 0 - h**2.
h*(h - 1)**2/2
Let u(c) be the first derivative of 2/3*c**3 - 7 - 2*c + 0*c**2. Factor u(z).
2*(z - 1)*(z + 1)
Let v be (-12*(-4)/(-56))/(7 - 10). Factor -v*f**3 + 2/7*f + 0 + 0*f**2.
-2*f*(f - 1)*(f + 1)/7
Let t(l) be the first derivative of 1 - 1/24*l**4 + 1/120*l**6 + 0*l + 1/6*l**3 - 1/60*l**5 + l**2. Let o(r) be the second derivative of t(r). Factor o(g).
(g - 1)**2*(g + 1)
Let i(s) = -s**3 + 2*s**2 - 3*s + 1. Let o be i(2). Let z = 7 + o. Determine p so that -2 + 7/2*p**4 - p**3 - 21/2*p**z + 10*p = 0.
-2, 2/7, 1
Factor 2*c**3 + 0 - 2/7*c**4 - 32/7*c**2 + 24/7*c.
-2*c*(c - 3)*(c - 2)**2/7
Let y(v) be the first derivative of -6*v**5/85 + v**4/34 + 6*v**3/17 + 3*v**2/17 - 4*v/17 - 8. Find x such that y(x) = 0.
-1, 1/3, 2
Suppose 0 = 4*a + 8 - 24. Factor -3*x + 0*x - 3*x**5 - x**a + x**4 + 6*x**3.
-3*x*(x - 1)**2*(x + 1)**2
Suppose 2*j = -3*j - 3*g - 44, -2*g = 5*j + 46. Let h = -10 - j. Factor 0 + 1/3*p**5 + 0*p**3 + 1/3*p**4 + 0*p**2 + h*p.
p**4*(p + 1)/3
Let o be ((-1)/2)/((-45)/(-72)). Let r = 46/45 + o. Factor -32/9 + r*q**5 - 112/9*q**2 + 32/3*q - 2*q**4 + 64/9*q**3.
2*(q - 2)**4*(q - 1)/9
Suppose -61 = 5*f + 3*g + 10, -2*g + 61 = -5*f. Let i = -25/2 - f. Determine q so that -1/2*q**3 - 4*q**4 - 2*q**5 + 7/2*q**2 + 5/2*q + i = 0.
-1, -1/2, 1
Let j(c) be the first derivative of -c**6/6 - c**5 - 3*c**4/2 + 2*c**3/3 + 7*c**2/2 + 3*c - 15. Factor j(v).
-(v - 1)*(v + 1)**3*(v + 3)
Suppose 5*b + 2 = -3*z + 3*b, -4*b - 12 = 2*z. Let n(t) be the first derivative of -1 + z*t - 1/3*t**3 - 1/2*t**2. Solve n(v) = 0.
-2, 1
Let o(t) be the third derivative of 2*t**5/75 - t**4/60 + t**2. Factor 