 5. Factor h(z).
-5*(z - 3)*(z - 1)*(z + 1)/2
Let v(c) = 6*c + 2. Suppose -2*y - 2 - 4 = 0. Let g(q) = q**2 - 7*q - 3. Let b(r) = y*v(r) - 2*g(r). Factor b(h).
-2*h*(h + 2)
Let c = 29/52 + -4/13. Let t(o) be the first derivative of 0*o**3 + 1 + 0*o + 1/2*o**2 - c*o**4. Factor t(s).
-s*(s - 1)*(s + 1)
Let f(m) be the first derivative of -m**3/5 - 21*m**2/5 - 147*m/5 + 16. Factor f(s).
-3*(s + 7)**2/5
Suppose 3*n - 10 = -2*n. Find x, given that 2*x**2 + 360*x - 360*x + n*x**3 = 0.
-1, 0
Suppose -3/7*n**2 - 9/7 + 12/7*n = 0. What is n?
1, 3
Let b(m) be the first derivative of -1 + 3*m + 35*m**3 + 75/4*m**4 + 33/2*m**2. Factor b(v).
3*(v + 1)*(5*v + 1)**2
Let v(k) be the third derivative of k**7/8820 - k**6/2520 + k**4/24 - 3*k**2. Let q(x) be the second derivative of v(x). Factor q(r).
2*r*(r - 1)/7
Let t(m) be the third derivative of m**7/1050 - m**5/300 - 2*m**2. Let t(d) = 0. Calculate d.
-1, 0, 1
Let l(n) be the third derivative of n**8/84 + 2*n**7/105 - n**6/30 - n**5/15 + n**2 - 1. Factor l(x).
4*x**2*(x - 1)*(x + 1)**2
Let r be 8/(-6) - 44/(-33). Let b(n) be the third derivative of 0*n**4 + 0 - 1/80*n**5 + 1/8*n**3 + r*n - 2*n**2. Solve b(z) = 0.
-1, 1
Let -8/7*f**2 - 2/7*f + 8/7 + 2/7*f**3 = 0. What is f?
-1, 1, 4
Let j be 4/(-22) + 558/1980. Let u(w) be the second derivative of 0*w**2 + 0 - 3/100*w**5 + j*w**3 - 3*w + 0*w**4. Find q such that u(q) = 0.
-1, 0, 1
Let a = 17089/48 - 356. Let j(c) be the second derivative of -1/24*c**3 + 0*c**2 + a*c**4 + 0 + 2*c. Factor j(u).
u*(u - 1)/4
Determine j, given that 2/5*j**2 + 4/5*j + 0 = 0.
-2, 0
Let y be (3 + 54/(-15))*120/(-54). Factor 2/3*l**3 - 2*l - y + 0*l**2.
2*(l - 2)*(l + 1)**2/3
Let d be ((-42)/24)/(-7) + (-25)/(-60). Let m be 4/(-6) + 4/6. Let -o**3 - d*o + 7/3*o**4 + 5/3*o**5 - 7/3*o**2 + m = 0. Calculate o.
-1, -2/5, 0, 1
Solve -2/3 - 8/3*v + 8/3*v**3 - 4/3*v**2 + 2*v**4 = 0.
-1, -1/3, 1
Suppose -p = -5*p. Let q(h) be the third derivative of p - 2*h**2 + 1/315*h**7 + 0*h**4 + 1/180*h**6 + 0*h**5 + 0*h**3 + 0*h. Find c such that q(c) = 0.
-1, 0
Solve 30/7*z + 75/7 + 3/7*z**2 = 0 for z.
-5
Find h, given that 2/7*h**2 + 24/7*h + 72/7 = 0.
-6
Suppose -3*r = -2*g + 2, 2*r + 15 = 5*g - 1. Let m(z) be the second derivative of -1/5*z**r + 1/60*z**4 - z + 0 + 1/30*z**3. Factor m(v).
(v - 1)*(v + 2)/5
Let b(y) = -y**3 + 6*y**2 + 11*y - 9. Let c be b(7). Let a = -15 + c. Factor -4/5*d**2 + 0*d**3 + 0 + 2/5*d + 4/5*d**a - 2/5*d**5.
-2*d*(d - 1)**3*(d + 1)/5
Let x = -23 + 26. Suppose 5*g**3 + g**4 + g**4 - g**x = 0. What is g?
-2, 0
Let h(i) be the first derivative of 0*i - 1/15*i**6 + 0*i**5 - 1/5*i**2 + 0*i**3 - 2 + 1/5*i**4. Factor h(j).
-2*j*(j - 1)**2*(j + 1)**2/5
Let d be 15/10 + (-461)/546. Let j = 1/91 + d. Factor -4/3*y - j - 2/3*y**2.
-2*(y + 1)**2/3
Let h = -3 + 6. Suppose 0 = -5*u - w + 37, -h*u - 2*w + 1 = -24. Factor 4*x**3 + 5*x**4 - u*x**4 - 4*x**5 - 2*x**3.
-2*x**3*(x + 1)*(2*x - 1)
Factor 4*t**2 + t**4 - 3/4*t - 15/4*t**3 - 1/2.
(t - 2)*(t - 1)**2*(4*t + 1)/4
Let i(d) be the third derivative of d**6/360 + d**5/60 + d**4/24 + d**3/18 + 5*d**2. Determine f so that i(f) = 0.
-1
Let z(q) = -5*q**4 + 60*q**3 + 25. Let d(b) = b**4 - 10*b**3 - 4. Let f(i) = 25*d(i) + 4*z(i). Factor f(k).
5*k**3*(k - 2)
Determine j, given that -15*j**2 + 51*j**3 - 6*j + 53*j**3 - 3*j**4 - 116*j**3 = 0.
-2, -1, 0
Factor 15/2*j**2 - 9*j - 7/4*j**3 + 2.
-(j - 2)**2*(7*j - 2)/4
Let q = -13 + 14. Suppose 5*n**3 + 9*n - q - 12*n**2 + 4 - 5 = 0. Calculate n.
2/5, 1
Let w(o) = -o - 1. Let i be (-3)/2 - 3/(-6). Let m be w(i). Factor m*n + 2/5*n**2 - 2/5*n**5 - 2/5*n**4 + 2/5*n**3 + 0.
-2*n**2*(n - 1)*(n + 1)**2/5
Let c be (1 - 5)/(((-10)/(-4))/5). Let m(o) = 2*o**2 + 5*o + 3. Let y(l) = -7 - 14*l - 6*l**2 + l**2 - 1. Let t(n) = c*m(n) - 3*y(n). Factor t(b).
-b*(b - 2)
Suppose 3*a = -0*a, -4*w - a + 12 = 0. Let d(j) be the first derivative of 0*j**2 + 1/6*j**w + 0*j - 1. Factor d(f).
f**2/2
Let p(l) = 4*l**4 + 19*l**3 - 8*l**2 - 48*l + 33. Let g(z) = 12*z**4 + 56*z**3 - 24*z**2 - 144*z + 100. Let w(o) = 3*g(o) - 8*p(o). Factor w(a).
4*(a - 1)**2*(a + 3)**2
Let r(o) be the first derivative of o**5/20 + o**4/4 + o**3/3 + o - 3. Let g(k) be the first derivative of r(k). Suppose g(p) = 0. Calculate p.
-2, -1, 0
Let l(k) be the third derivative of -121*k**5/60 + 11*k**4/12 - k**3/6 - 4*k**2. Factor l(b).
-(11*b - 1)**2
Let k(t) be the second derivative of t**7/42 - 2*t**6/15 + t**5/4 - t**4/6 - 4*t. Factor k(z).
z**2*(z - 2)*(z - 1)**2
Let o(y) = y**3 + 7*y**2 - y - 4. Let j be o(-7). Let m be 0/(-4) + 0/j. Factor m + g**2 - 1/2*g - 1/2*g**3.
-g*(g - 1)**2/2
Let s(u) = u**3 + u**2. Let z be s(1). Let f be (-2)/(-8) - (1 - 20/16). Let 1/2*l**z - f*l + 0 = 0. Calculate l.
0, 1
Suppose -10*q + 6*q = -8. Find z such that 2*z**3 + 1 + 0*z**5 + z**5 - 3*z**4 + 0*z**q + 0*z**5 - 3*z + 2*z**2 = 0.
-1, 1
Suppose 22*i - 24*i = -g + 12, i + 4 = 0. Solve -15/2*x**2 + 8*x**5 + 0 - 23/2*x**3 + 12*x**g - x = 0 for x.
-2, -1/4, 0, 1
Let t(p) = p - 5. Let u = -4 - -13. Let b be t(u). Factor s**3 + 7*s**2 - b*s**2 - 2*s**2.
s**2*(s + 1)
Let c = 22438 - 1682801/75. Let t(d) be the second derivative of -8/15*d**3 - 63/25*d**5 - 2*d**4 - c*d**6 + 0 - 2*d + 0*d**2. Factor t(p).
-2*p*(p + 2)*(7*p + 2)**2/5
Let m(r) be the third derivative of 1/24*r**3 + r**2 + 0 - 1/240*r**5 + 0*r - 1/480*r**6 + 1/96*r**4. Find g such that m(g) = 0.
-1, 1
Suppose 5 = 4*v - y, 4*y + 7 = 5*v - 13. Let c = 81/215 + 1/43. Factor c*q**3 - 6/5*q + v*q**2 - 4/5.
2*(q - 2)*(q + 1)**2/5
Suppose 0 = 4*s - 5*h - 8, 5*s = 3*h + 7 + 3. Suppose -s*z + 2*t + 7 + 1 = 0, -4*t - 10 = -2*z. Factor -4*m**2 + z*m - 2*m + m + 0*m + 2*m**3.
2*m*(m - 1)**2
Factor 0 + 1/2*w + 1/4*w**4 + w**3 + 5/4*w**2.
w*(w + 1)**2*(w + 2)/4
Let g(s) be the third derivative of 0*s + 0 - 1/32*s**4 + 2*s**2 - 1/12*s**3 - 1/240*s**5. Factor g(k).
-(k + 1)*(k + 2)/4
Let t(b) be the first derivative of -4/5*b**5 + 2/3*b**4 - 1/6*b**3 - 4*b + 0*b**2 + 4. Let c(x) be the first derivative of t(x). Determine v so that c(v) = 0.
0, 1/4
Let q(v) be the first derivative of v**2/2 - 2. Let o be q(5). Factor -z + 3*z - 4*z**3 + z**o + z**5.
2*z*(z - 1)**2*(z + 1)**2
Let y(n) = n + 10. Let p be y(-6). Let 0*m**4 - 2*m**5 - 3*m**p + 4*m**5 - m**4 = 0. What is m?
0, 2
Let w(o) be the first derivative of o**6/30 - o**5/10 - o**4/12 + o**3/3 + 5*o + 6. Let c(f) be the first derivative of w(f). Factor c(n).
n*(n - 2)*(n - 1)*(n + 1)
Let -4/11*z**3 + 2/11 + 0*z**2 - 2/11*z**4 + 4/11*z = 0. Calculate z.
-1, 1
Let r be 1293/15 - (-1)/(-5). Let k = 125 - r. Factor 15*z**4 - 3*z**3 + 12*z**2 + 6*z + k*z**3 + 15*z**2.
3*z*(z + 1)**2*(5*z + 2)
Factor 10/3*j - 1/3*j**2 - 25/3.
-(j - 5)**2/3
Let s = -34 + 29. Let p = -3 - s. Determine c so that 0 - 2/5*c**p - 4/5*c + 2/5*c**3 = 0.
-1, 0, 2
Let y = -15 - -15. Suppose y = -b + 6 - 4. Factor 2/7*i + 0 - 2/7*i**b + 2/7*i**4 - 2/7*i**3.
2*i*(i - 1)**2*(i + 1)/7
Let d(y) be the first derivative of -2/15*y**3 + 0*y + 0*y**2 + 4. Factor d(l).
-2*l**2/5
Suppose 0*t + 0 - 1/6*t**4 - 1/3*t**3 + 1/6*t**5 + 0*t**2 = 0. What is t?
-1, 0, 2
Let s(a) = -6*a**2 - 5*a. Let n be s(7). Let k = -2299/7 - n. Factor 4/7*i**3 + 2/7*i**4 - 2/7 + 0*i**2 - k*i.
2*(i - 1)*(i + 1)**3/7
Let q(g) be the second derivative of -g**9/22680 - g**8/10080 + g**4/12 + g. Let d(p) be the third derivative of q(p). Let d(z) = 0. What is z?
-1, 0
Let i be (-109)/(-14) - 6 - 2/(-4). Factor -i*y - 8/7 - 6/7*y**2.
-2*(y + 2)*(3*y + 2)/7
Factor -40/11*x**2 - 4/11 + 18/11*x**3 + 26/11*x.
2*(x - 1)**2*(9*x - 2)/11
Let o(n) be the first derivative of 6*n**4 - 14*n**3/3 + n**2 + 6. What is w in o(w) = 0?
0, 1/4, 1/3
Let j be ((-5)/3)/(66/27 - 3). Factor -27/7*s**j + 0 - 15/7*s**2 - 3/7*s - 3*s**4 - 6/7*s**5.
-3*s*(s + 1)**3*(2*s + 1)/7
Let f(d) be the first derivative of -9*d**5/5 + 15*d**4/2 - 9*d**3 + 3*d**2 + 24. Find y, given that f(y) = 0.
0, 1/3, 1, 2
Let q be (-1 - (-33)/15)*5. Suppose 2 = -d + q. Suppose -2*n**d + 0*n**4 - 2*n**3 + 0*n**3 = 0. What is n?
-1, 0
Factor 0*j + 0 - 16/7*j**2 - 4/7*j**3.
-4*j**2*(j + 4)/7
Let l(j) be the second derivative of -j**7/84 + j**6/5 - 7*j**5/5 + 16*j**4/3 - 12*j**3 + 16*j**2 + 35*j. Factor l(x).
-(x - 4)*(x - 2)**4/2
Let j(o) = o - 1. Let w be j(5). Let m be -8*((-6)/4)/3. 