2. Factor l(g).
(g - 1)**2/2
Let z(o) = 20*o**3 + 2*o**4 - 8*o**4 - 10*o**4 - 6 + 4*o**2 - 2*o**4. Let c(y) = 18*y**4 - 19*y**3 - 4*y**2 + 5. Let b(v) = 6*c(v) + 5*z(v). Factor b(d).
2*d**2*(d - 1)*(9*d + 2)
Let x(k) = -9*k**3 - 14*k**2 + 3*k + 4. Suppose -3*m = -25 - 2. Let y = 8 - m. Let c(q) = q**2 + 1. Let g(d) = y*x(d) - 2*c(d). Factor g(a).
3*(a + 1)**2*(3*a - 2)
Let 13*s**4 + 2*s**2 - 15*s**4 + 0*s**2 = 0. What is s?
-1, 0, 1
Suppose -2*f - z + 24 = 3*f, 26 = 5*f - z. Let v(j) = j**2 - 4*j - 2. Let y be v(f). Factor -10*q**4 - y*q**2 + q - q**4 - 4*q**4 + 24*q**3 - 7*q.
-3*q*(q - 1)**2*(5*q + 2)
Factor 9*n + 1/3*n**3 + 3*n**2 + 9.
(n + 3)**3/3
Let y(w) = -12*w**2 + w**3 + 8*w - 2*w**5 + w**3 - 4*w**3. Let v(o) = o**5 + o**4 - o**3 + o**2. Let a(c) = -4*v(c) - y(c). Factor a(r).
-2*r*(r - 1)**2*(r + 2)**2
Factor -4/5*d**2 - 8/5*d + 0.
-4*d*(d + 2)/5
Let q(c) = 2*c**2 + 2*c. Let n(f) = 3*f - 5*f + f**2 - 3*f**2 - f. Let x be (0 - -3) + (-4)/(-2). Let g(m) = x*q(m) + 4*n(m). Determine r, given that g(r) = 0.
0, 1
Let s be (4 + -3)*(0 + 2). Let p(o) = -2*o - 3. Let h be p(-3). Let 0*z**s + 0*z**h - 1 + z**2 + z - z**3 = 0. Calculate z.
-1, 1
Let g(b) = -9*b**4 - 43*b**3 + 37*b + 12. Let x(l) = -10*l**4 - 42*l**3 + 38*l + 12. Let f(r) = 2*g(r) - 3*x(r). Let f(o) = 0. What is o?
-3, -1, -1/3, 1
Let i(v) = -v**2 + 12*v + 15. Let z be i(13). Let t(f) be the second derivative of -1/11*f**z - 3*f + 0*f**3 + 0 + 1/66*f**4. Suppose t(j) = 0. What is j?
-1, 1
Suppose -8 = -3*m + 4. Let v be 2/(3*m/12). Factor 5/2*w**3 + 0 + v*w**2 - 3/2*w**4 - 2*w.
-w*(w - 2)*(w + 1)*(3*w - 2)/2
Find r, given that 3/2*r**5 + 9/2*r**2 - 3*r + 0 + 3/2*r**3 - 9/2*r**4 = 0.
-1, 0, 1, 2
Let m(o) be the first derivative of 1/2*o**2 - 3 - 1/4*o**4 + 0*o**3 + 0*o. Factor m(y).
-y*(y - 1)*(y + 1)
Determine t, given that 5*t**3 + 14*t**2 + 10*t - 10*t**2 + 11*t**2 = 0.
-2, -1, 0
Suppose 3*d - 28 = 4*a, -2*d + 3*d + 4*a + 12 = 0. Let q = -4 + 7. Factor -6*m + 3*m**q + 4*m - d*m**3 + 3*m**2.
-m*(m - 2)*(m - 1)
Let p be 92/(-28) - 4/(-14). Let a be -2*(0 + (p - -2)). Factor -13*o**2 - 14*o**a - 12 + 0*o**2 - 36*o.
-3*(3*o + 2)**2
Let y(d) = -3*d**5 - 8*d**4 - 13*d**3 - 7*d**2 - d - 1. Let p(s) = s**5 + s**3 - s**2 - s + 1. Let z(x) = p(x) + y(x). Factor z(b).
-2*b*(b + 1)**4
Let d(a) be the first derivative of -3*a**5/5 - 3*a**4 + 6*a**3 + 6*a**2 - 15*a - 28. Suppose d(t) = 0. What is t?
-5, -1, 1
Let q(f) be the first derivative of -f**4/16 + f**3/4 + f**2/2 - 23. Solve q(o) = 0.
-1, 0, 4
Let k = 20 - 6. Let l = 28 - k. Factor l*c**3 + 34/3*c**4 + 22/3*c**2 + 0 + 4/3*c + 10/3*c**5.
2*c*(c + 1)**3*(5*c + 2)/3
Let p = 7/19 - 9/76. Suppose 1/2*x**2 + 1/4*x + p*x**3 + 0 = 0. What is x?
-1, 0
Let z(p) be the third derivative of -1/60*p**4 + 0*p**3 + 0 + 0*p**5 + 1/300*p**6 + 0*p - 3*p**2. Determine a so that z(a) = 0.
-1, 0, 1
Let f(q) be the second derivative of -q**6/60 - 11*q**5/40 - 35*q**4/24 - 25*q**3/12 - 10*q. Factor f(v).
-v*(v + 1)*(v + 5)**2/2
Let k(b) be the first derivative of b**4/24 - 5*b**3/18 + 2*b**2/3 - 2*b/3 + 6. Factor k(i).
(i - 2)**2*(i - 1)/6
Let h(r) be the third derivative of -r**6/240 + r**5/360 + r**4/72 - 10*r**2 - 2. What is w in h(w) = 0?
-2/3, 0, 1
Let h(i) = i**5 + i**4 + i**3 + i**2 - i - 1. Let v(b) = -5*b**5 - 2*b**4 - 5*b**3 - 4*b**2 + 4*b + 4. Let w(y) = 4*h(y) + v(y). Let w(g) = 0. Calculate g.
0, 1
Let g be (49/14 + -3)*(-2)/(-3). Factor g*i**2 + 0 - 1/3*i.
i*(i - 1)/3
Find p such that -1/4*p + 0*p**2 + 0 + 1/4*p**3 = 0.
-1, 0, 1
Let r(h) be the first derivative of 28*h**5/3 + 4*h**4/3 - 16*h**3/9 + 1. Factor r(c).
4*c**2*(5*c + 2)*(7*c - 2)/3
Factor -2*a**2 - 4*a**4 - 12*a + 12*a**3 - 2 + 10 - 2*a**2.
-4*(a - 2)*(a - 1)**2*(a + 1)
Let w be (-4)/6*(-3)/4. Let x(s) = 3*s + 16. Let o be x(-4). Factor 0 + 0*j + w*j**2 + 1/2*j**o - j**3.
j**2*(j - 1)**2/2
Let f(o) = 2*o**2 - 3*o + 2. Let h be f(2). Suppose -4 = h*a - 12. Factor 3*z**2 - 4*z**2 + 2*z**a - 1.
(z - 1)*(z + 1)
Let j(t) be the third derivative of t**7/1680 - t**6/720 + t**3/6 - 2*t**2. Let v(o) be the first derivative of j(o). Factor v(y).
y**2*(y - 1)/2
Determine o so that 2/11*o**2 - 2/11*o + 2/11*o**3 - 2/11 = 0.
-1, 1
Factor 73*y - 75 + 175*y + 82*y - 123*y**2 + 12*y**3.
3*(y - 5)**2*(4*y - 1)
Let f(x) be the third derivative of -x**7/280 + x**6/72 - x**5/60 - 4*x**3/3 - 2*x**2. Let g(t) be the first derivative of f(t). Factor g(d).
-d*(d - 1)*(3*d - 2)
Let v(b) be the second derivative of 1/14*b**4 + 0*b**2 - 1/70*b**5 - 2/21*b**3 + 4*b + 0. Find k, given that v(k) = 0.
0, 1, 2
Let x(a) = -a**3 + a**2 + a - 1. Let d(i) = -2*i**3 + 2*i**2 + 2*i - 2. Let u(c) = 2*c**2 + 3*c - 4. Let k be u(-3). Let m(q) = k*x(q) - 3*d(q). Factor m(s).
(s - 1)**2*(s + 1)
Let b(p) be the third derivative of -1/60*p**5 + 0*p - p**2 + 0*p**3 + 0 - 1/24*p**4. Find a such that b(a) = 0.
-1, 0
Let t(h) = -h**2 - 4*h - 2. Suppose k - 4*k = -33. Let u be 1/3 - k/(-3). Let p(g) = g**2 + 4*g + 1. Let f(c) = u*p(c) + 6*t(c). Factor f(x).
-2*(x + 2)**2
Find r such that 2/3 - 2/3*r**2 - 2/3*r**3 + 2/3*r = 0.
-1, 1
Let c(g) be the second derivative of 1/50*g**5 + 0 + 0*g**2 + 1/30*g**4 + 0*g**3 - g. Suppose c(b) = 0. What is b?
-1, 0
Let h = -19 + 27. Let x be h/160 - (-1)/5. What is s in -x*s**2 - 1/4*s + 0 = 0?
-1, 0
Suppose -2*u = 1 - 5. Let f be u + (-8)/2 + 4. Factor -4/9 - 2/9*v**f - 2/3*v.
-2*(v + 1)*(v + 2)/9
Let n(r) be the first derivative of -r**4/26 + 2*r**3/39 + 9. Factor n(z).
-2*z**2*(z - 1)/13
Let o be (-120)/140*(-14)/4. Determine f so that 0*f - 1/3*f**2 - 4/3*f**4 - 7/6*f**o - 1/2*f**5 + 0 = 0.
-1, -2/3, 0
Let p(m) be the third derivative of 0 + m**2 + 0*m + 1/30*m**5 - 2/3*m**3 - 1/12*m**4. Determine c so that p(c) = 0.
-1, 2
Let y(r) = -1. Let q(i) = 4*i**2 - 20. Let t(x) = -q(x) + 4*y(x). Factor t(o).
-4*(o - 2)*(o + 2)
Let m = 3 + -3. Let z = -30 + 92/3. Find t such that -z*t**2 - 2/3*t + m = 0.
-1, 0
Let a be (3/(-51))/(4/(-34)). Suppose -1/6 - 1/3*j**2 + 1/2*j**4 - 1/6*j**5 - 1/3*j**3 + a*j = 0. What is j?
-1, 1
Let z = 11 + -9. Let s(u) = u. Let k be s(z). What is i in 3*i**2 + 2*i - k*i**3 + 3*i**2 - 4 - i**2 - i**2 = 0?
-1, 1, 2
Let m(j) be the first derivative of 0*j - 3 + 1/12*j**2 + 1/18*j**3. Solve m(v) = 0.
-1, 0
Let r(c) be the third derivative of c**9/10080 - c**8/1008 + c**7/2520 + c**6/60 + c**5/60 + c**2. Let b(m) be the third derivative of r(m). Factor b(i).
2*(i - 3)*(i - 1)*(3*i + 2)
Let r be (-26)/(-156) + 2/6. Factor r + 2*p**2 - 5/2*p.
(p - 1)*(4*p - 1)/2
Solve -50/11*m**2 - 8/11 - 38/11*m**3 - 2/11*m**5 - 32/11*m - 14/11*m**4 = 0 for m.
-2, -1
Suppose -6*u + 41 = 41. Solve u*g + 0 - 1/2*g**3 + g**2 = 0.
0, 2
Let c(b) = b**2 - b + 2. Let m be (-198)/36 - (-1)/2. Suppose 0 = w - 1 + 3. Let f(i) = -2*i**2 + 2*i - 5. Let t(g) = m*c(g) + w*f(g). What is q in t(q) = 0?
0, 1
Let f(w) = 3*w - 24. Let h be f(9). Let v(y) be the first derivative of 0*y + 2/3*y**h + 1/4*y**4 + 3 + 1/2*y**2. Factor v(g).
g*(g + 1)**2
Let p(v) be the second derivative of 5*v - 1/30*v**4 - 1/5*v**2 + 2/15*v**3 + 0. Factor p(i).
-2*(i - 1)**2/5
Factor 4/3*w**4 - 4/9*w**5 - 4/3*w**3 + 4/9*w**2 + 0*w + 0.
-4*w**2*(w - 1)**3/9
Let g(u) be the third derivative of u**8/112 + u**7/70 - u**6/40 - u**5/20 - 9*u**2. Factor g(r).
3*r**2*(r - 1)*(r + 1)**2
Let c(y) = -y**5 + y. Let p(d) = 6*d**5 - 5*d**4 + 7*d**3 + d**2 - 13*d + 4. Let j(s) = 20*c(s) + 4*p(s). Suppose j(u) = 0. Calculate u.
-1, 1, 2
Suppose 2*t + 3*l - 4 = 14, -5*l + 35 = 5*t. Factor -1 + 0 + 0 - 2*s**2 + t.
-2*(s - 1)*(s + 1)
Let w(c) be the third derivative of -2*c**2 + 0 - 1/1176*c**8 + 0*c + 0*c**3 + 0*c**4 - 1/210*c**5 - 1/140*c**6 - 1/245*c**7. Let w(d) = 0. What is d?
-1, 0
Suppose 4*v - 4*k = 20, 5 = -v + 2*v + k. What is m in 0*m**3 + v*m**2 + 2*m**5 - 2*m**3 - m**2 - 4*m**4 = 0?
-1, 0, 1, 2
Let p(k) be the second derivative of k**5/80 - k**4/48 - k**3/24 + 9*k**2/2 + 9*k. Let y(z) be the first derivative of p(z). Suppose y(f) = 0. Calculate f.
-1/3, 1
Let x(k) be the second derivative of -2*k**6/15 + k**5/5 + k**4/3 - 2*k**3/3 + 6*k. Factor x(w).
-4*w*(w - 1)**2*(w + 1)
Suppose -r + 13 = 4*g, 2*g - 3*r = -2*r + 5. Let k(d) = d - g*d + d. Let y(t) = t**3 + t**2 + t - 1. Let o(x) = 2*k(x) + y(x). What is h in o(h) = 0?
-1, 1
Let t b