*2. Factor b(a).
-2*a*(a - 1)*(a + 4)**2/7
Let f be 82/16 - (-11)/(-88). Let y(x) be the second derivative of 1/20*x**f + 0 - 1/6*x**4 + x**2 - 1/6*x**3 - 4*x. What is v in y(v) = 0?
-1, 1, 2
Let j(m) be the second derivative of -18*m + 0*m**2 - 1/30*m**4 + 1/3*m**3 + 0. Suppose j(o) = 0. What is o?
0, 5
Let t(r) be the third derivative of -r**6/40 + 15*r**5/4 - 1875*r**4/8 + 15625*r**3/2 + 112*r**2 + 2. Determine h, given that t(h) = 0.
25
Let x(g) = 3*g**4 - 2*g**3 - 4*g**2 + 2*g - 3. Let w = 64 + -55. Let s(q) = -7*q**4 + 5*q**3 + 9*q**2 - 5*q + 7. Let d(p) = w*x(p) + 4*s(p). Factor d(i).
-(i - 1)**3*(i + 1)
Factor 4*n**2 - 7/3*n**3 - 2/3 - n.
-(n - 1)**2*(7*n + 2)/3
Let -5*q**4 - 13*q**3 - 3*q**3 + 15*q - 711 - 2*q**3 + 3*q**3 + 691 + 25*q**2 = 0. Calculate q.
-4, -1, 1
Let t(c) = -8 - c**2 + 3*c + 6 - 8*c. Let w be t(-3). Find j such that -10*j**5 + 11*j**5 - 3*j**5 - 2*j**3 - w*j**4 = 0.
-1, 0
Let k(y) be the first derivative of y**7/21 + 4*y**6/15 + 3*y**5/10 - 2*y**4/3 - 4*y**3/3 + 4*y - 17. Let q(s) be the first derivative of k(s). Factor q(n).
2*n*(n - 1)*(n + 1)*(n + 2)**2
Let c be -228 - -239 - 14/2. Solve 0*n**3 + 0*n + 0*n**2 + 1/3*n**c + 0 + 1/3*n**5 = 0.
-1, 0
Let s be 10 + (-658)/63 + 768/513. What is j in 2/19*j - s*j**4 + 24/19*j**3 + 6/19*j**5 - 12/19*j**2 + 0 = 0?
0, 1/3, 1
Let q(s) = -s + 0*s - 4 - s + 9*s + 7*s**2. Let p(k) = 3*k**2 + 3*k - 2. Let c(a) = -15*p(a) + 6*q(a). Factor c(r).
-3*(r - 1)*(r + 2)
Let o(u) = -7*u**2 - 5*u - 13. Let h(t) = -10*t**2 - 7*t - 19. Let q(g) = -5*h(g) + 7*o(g). Let k be q(9). Factor -3*y**3 - 4*y**2 - k*y**4 + y**3 + 87*y**4.
2*y**2*(y - 2)*(y + 1)
Let a(g) = -g**5 + g**4 - g**3. Suppose 5*i - 50 = 45. Let k = i + -5. Let q(m) = -6*m**5 + 8*m**4 - 9*m**3. Let s(p) = k*a(p) - 2*q(p). Factor s(l).
-2*l**3*(l - 1)*(l + 2)
Let p = 64 + -61. Factor 5*d**5 + 10*d**2 - 15*d**p - d**2 + d**2.
5*d**2*(d - 1)**2*(d + 2)
Let m(f) = -2*f**3 - 10*f**2 + 38*f - 23. Let z(h) = -h**3 - h + 1. Let j(s) = -2*s + 1. Let k be j(1). Let n(v) = k*m(v) - 3*z(v). Solve n(w) = 0.
-4, 1
Let x(u) be the first derivative of -u**6/7 + 3*u**5/7 + 3*u**4/28 - u**3 + 3*u**2/14 + 6*u/7 - 99. Suppose x(h) = 0. What is h?
-1, -1/2, 1, 2
Let g(a) be the third derivative of 0*a + 0 - 1/840*a**7 + 17*a**2 + 0*a**4 - 3/20*a**5 + 0*a**3 - 1/40*a**6. Let g(p) = 0. What is p?
-6, 0
Let b(d) be the first derivative of 2*d**6/21 + 4*d**5/35 - 6*d**4/7 + 8*d**3/21 + 10*d**2/7 - 12*d/7 + 333. Factor b(g).
4*(g - 1)**3*(g + 1)*(g + 3)/7
Let d be 4/30 + -3*(-682)/6930. Factor 12/7 + d*n**2 - 12/7*n.
3*(n - 2)**2/7
Let s(i) = -3*i**3 + 330*i**2 - i - 1. Let x(z) = z**3 + z + 1. Let r(u) = -s(u) - x(u). Factor r(t).
2*t**2*(t - 165)
Let f(u) be the second derivative of u**6/105 + u**5/14 + u**4/14 - 5*u**3/21 - 4*u**2/7 + 2*u + 6. Solve f(h) = 0.
-4, -1, 1
Let a = -69 + 66. Let k be -1 - (1 + a + 1). What is q in 0*q**3 + 0*q + 3/4*q**5 + 0 + k*q**2 + 3/4*q**4 = 0?
-1, 0
Let w(g) = -g**5 - 20*g**4 + 62*g**3 - 106*g**2 + 79*g - 22. Let s(k) = -k**5 - 2*k**4 - k**3. Let l(m) = -6*s(m) + 3*w(m). Factor l(d).
3*(d - 11)*(d - 2)*(d - 1)**3
Let s = -2034 + 2041. Let p(u) be the third derivative of 0*u - 1/60*u**6 - 1/175*u**s + 0 + 0*u**4 - 7*u**2 - 1/75*u**5 + 0*u**3. Factor p(c).
-2*c**2*(c + 1)*(3*c + 2)/5
Let w(f) = -f**3 - 2*f**2 - f + 1. Let t(h) = -35*h**3 - 110*h**2 + 85*h - 30. Let a(g) = t(g) - 30*w(g). Determine d, given that a(d) = 0.
-12, 1
Suppose -2*j = -6*j. Let s be (-1)/4 + 4/16. Suppose j + s*b**2 + 1/4*b - 1/4*b**3 = 0. Calculate b.
-1, 0, 1
What is o in -6/5*o**3 - 44/5*o + 16/5 + 34/5*o**2 = 0?
2/3, 1, 4
Factor -5*q**2 + 7*q**2 + 5*q - 88 - 6*q**2 + 59*q - 12*q.
-4*(q - 11)*(q - 2)
Factor -7/3 + 8/3*b**2 - 1/3*b**4 + 2*b**3 - 2*b.
-(b - 7)*(b - 1)*(b + 1)**2/3
Let g(c) = 0*c - 2 - 3*c + 2*c. Let w be g(-2). Factor -d + w*d + 2*d**3 - d**3.
d*(d - 1)*(d + 1)
Let l(h) = 18*h - 216. Let c be l(12). Factor 2/19*b**2 + 2/19*b**3 - 4/19*b + c.
2*b*(b - 1)*(b + 2)/19
Let a = 331/70 + -33/10. Let f(d) = -d**3 - d**2 + 2*d + 2. Let y be f(-2). Solve 4/7 - 10/7*t**3 - 4/7*t**y + a*t = 0.
-1, -2/5, 1
Let s(w) be the first derivative of 0*w + 2/3*w**3 + 6 - 1/15*w**5 + 0*w**4 - 3*w**2. Let o(k) be the second derivative of s(k). Factor o(g).
-4*(g - 1)*(g + 1)
Suppose -3*l + 4*l = -2*h + 3, 0 = -h. Let a(c) be the second derivative of 0*c**5 + 1/10*c**4 - 1/75*c**6 + 0*c**2 + 8*c + 2/15*c**l + 0. Factor a(r).
-2*r*(r - 2)*(r + 1)**2/5
Let a(h) be the third derivative of 0*h**4 - 1/420*h**5 - 1/6*h**3 - 9*h**2 - 1/1260*h**6 + 0 + 0*h. Let w(m) be the first derivative of a(m). Factor w(f).
-2*f*(f + 1)/7
Let j be 0 - (2 - (0 - -2)). Let z be 12/42*(-14)/(-8). Determine g, given that j - z*g**4 + 0*g - 1/2*g**3 + g**2 = 0.
-2, 0, 1
Factor -4*i**2 - 2*i**2 - 23 + 34*i + 7*i**2 + 56.
(i + 1)*(i + 33)
Let y(b) = 7*b**3 - 4*b**2 + 10*b + 12. Let u(r) = -6*r**3 + 4*r**2 - 9*r - 10. Let l(v) = -6*u(v) - 5*y(v). Let l(f) = 0. Calculate f.
0, 2
Let g(a) be the third derivative of -2*a**7/735 - 2*a**6/105 - a**5/21 - a**4/21 - 91*a**2. Solve g(m) = 0.
-2, -1, 0
Let c(a) be the first derivative of 5/3*a**3 - 35*a + 35 + 15*a**2. Factor c(i).
5*(i - 1)*(i + 7)
Determine v, given that 48*v**4 + 6*v**2 + 16*v**3 + 0*v**4 + 62*v**3 + 42*v**2 + 9*v + 9*v**5 = 0.
-3, -1, -1/3, 0
Factor 4/15 - 2/5*z + 2/15*z**2.
2*(z - 2)*(z - 1)/15
Suppose -90 = 4*x + 5*x. Let f be 4/x*1 + (-24)/(-10). Factor a**3 + 5/4*a + 1/4 + 2*a**f.
(a + 1)*(2*a + 1)**2/4
Let m = -17 - -19. Factor 12*w**3 + 169*w**2 + 2*w**4 + 2*w - 178*w**m - 7*w**4.
-w*(w - 1)**2*(5*w - 2)
Let v be 1/8 - (-3)/(-24). Let i(m) be the third derivative of 1/90*m**6 + v*m**4 + 0*m - 11*m**2 - 1/90*m**5 + 0 - 1/315*m**7 + 0*m**3. Factor i(u).
-2*u**2*(u - 1)**2/3
Suppose -10*k = -15*k. Determine h so that -2 - 12*h**4 + 7*h**4 + k*h**3 + 7*h**4 + 4*h**3 - 4*h = 0.
-1, 1
Let j(y) be the third derivative of -y**6/960 + y**5/20 - 15*y**4/64 + 11*y**3/24 + 2*y**2 - 22. Find n such that j(n) = 0.
1, 22
Factor -1363/3*k**3 - 3536/3*k + 1156/3 - 1/3*k**5 + 71/3*k**4 + 3673/3*k**2.
-(k - 34)**2*(k - 1)**3/3
Let z(t) = -2*t**4 + 2*t**3 + 2*t**2 - 6*t - 4. Let x(c) = -c - 1. Suppose 0 = -5*v + 4*v + 10. Let k = v + -6. Let q(l) = k*x(l) - z(l). Factor q(a).
2*a*(a - 1)**2*(a + 1)
Suppose -8*d + 2*d = -672. Let 7*c**3 + d*c**4 - 3*c - 110*c**4 - c**5 - 2*c**2 - 3*c**3 = 0. What is c?
-1, 0, 1, 3
Let b(l) be the first derivative of -l**7/210 - l**6/60 + l**4/12 + l**3/6 - 8*l**2 - 4. Let x(f) be the second derivative of b(f). Factor x(j).
-(j - 1)*(j + 1)**3
Let j be (-2 - (-300)/135)/(4/9). Suppose 2*p - 1 = 5. Factor 2 + 6*q + 3*q**p + j*q**4 + 13/2*q**2.
(q + 1)**2*(q + 2)**2/2
Let q be (5 - 0)*(-7)/((-70)/(-48)). Let i be (5 + 1)/((-45)/q). Factor -4/5 - i*z - 7/5*z**2.
-(z + 2)*(7*z + 2)/5
Let k(i) be the first derivative of i**6/540 - i**5/36 - i**4/6 + 16*i**3/3 - 5. Let n(d) be the third derivative of k(d). Factor n(b).
2*(b - 6)*(b + 1)/3
Factor 0 - 2/15*c**3 - 54/5*c - 12/5*c**2.
-2*c*(c + 9)**2/15
Let n(x) be the first derivative of -x**6/60 - 4*x**5/45 - x**4/12 + 2*x**3/9 - 6*x**2 - 12. Let p(f) be the second derivative of n(f). Factor p(z).
-2*(z + 1)*(z + 2)*(3*z - 1)/3
Let z be 5 + 7 + -6 - 12/4. Factor 3/4 + 3/8*i**z - 3/4*i**2 - 3/8*i.
3*(i - 2)*(i - 1)*(i + 1)/8
Let q(r) be the third derivative of r**6/120 - r**5/20 - r**4/6 + 2*r**3/3 + 5*r**2. Let o be q(4). Factor 2*i**5 + 68*i**o - 64*i**4 + 2*i**5.
4*i**4*(i + 1)
Let b(v) be the first derivative of 0*v + 1/20*v**5 + 0*v**4 - 13 + 0*v**2 + 0*v**3. Factor b(x).
x**4/4
Let q(b) be the first derivative of 5/3*b**3 + 0*b**2 - 6 - 5*b. Factor q(y).
5*(y - 1)*(y + 1)
Let d(n) = -n**3 + n**2 + 1. Let x(i) = 56*i**4 + 29 + 6*i**4 + 741*i**2 - 697*i**3 - 272*i + 134*i**4. Let t(v) = -3*d(v) - x(v). Find c such that t(c) = 0.
2/7, 1, 2
Let s = 105 + -92. Suppose s*b - 27 = -1. Solve -3/4*h**4 + 3*h**3 - 15/4*h**b + 3/2*h + 0 = 0 for h.
0, 1, 2
Let c = -501 + 503. Let r be 4*(1 - 0/1). Factor 4 - 2*v**5 - 2 + r*v**3 - 2 - c*v.
-2*v*(v - 1)**2*(v + 1)**2
Suppose 1/3*c**2 + 1/6*c**3 - 1 - 5/6*c = 0. Calculate c.
-3, -1, 2
Let p(d) be the third derivative of 1/50*d**5 + 0*d - 1/60*d**4 + 0 + 1/300*d**6 - 1/525*d**7 - 2/15*d**3 - 34*d**2. Suppose p(i