hird derivative of -g**7/70 + g**6/40 + 16*g**2. Factor j(i).
-3*i**3*(i - 1)
Determine j, given that -16*j + 26 + 28 - 4*j**2 - 66 = 0.
-3, -1
Let v(z) = z**3 + 8*z**2 - 9*z + 6. Let y be v(-9). Let n = 5 + -1. Factor y*a**4 + 2*a - 2*a**2 - 2*a**3 - a**4 - 3*a**n.
2*a*(a - 1)**2*(a + 1)
Let c(a) be the second derivative of -a**7/42 + a**5/10 - a**3/6 - 3*a. Let c(f) = 0. Calculate f.
-1, 0, 1
Let q be (10 - 8)/(1*2). Let v = q - -2. Factor 24/11*l**2 + 0 + 14/11*l**v - 8/11*l.
2*l*(l + 2)*(7*l - 2)/11
Let r(b) = -b**3 - b + 1. Let k(z) = 2*z**4 + 10*z**3 + 2*z**2 + 6*z - 6. Let q(g) = 2*k(g) + 12*r(g). Factor q(u).
4*u**2*(u + 1)**2
Let y(v) be the second derivative of -v**6/600 - v**5/100 - v**4/40 - v**3/30 - 5*v**2/2 - 2*v. Let k(l) be the first derivative of y(l). Factor k(m).
-(m + 1)**3/5
Let -14/5*o**2 + 0 - 2/5*o**5 - 18/5*o**3 - 2*o**4 - 4/5*o = 0. Calculate o.
-2, -1, 0
Let t(b) be the third derivative of b**6/24 - b**5/4 + 5*b**4/8 - 5*b**3/6 + 31*b**2. Factor t(k).
5*(k - 1)**3
Let r be ((-237)/(-12))/1 + 2. Let u = -427/20 + r. Factor 0*z**2 + 0 + 0*z - u*z**4 - 2/5*z**3.
-2*z**3*(z + 1)/5
Let v be -2 + ((-6)/(-2) - 1). Let r be (1 - v) + (-2)/6. Factor 0 + 2*m**5 + 0*m + 0*m**2 - r*m**4 - 4/3*m**3.
2*m**3*(m - 1)*(3*m + 2)/3
Let w(b) be the third derivative of -b**7/84 + b**6/12 - b**5/4 + 5*b**4/12 - 5*b**3/12 + 6*b**2. Determine l, given that w(l) = 0.
1
Let h(v) be the first derivative of -2*v**5/15 + 13*v**4/18 - 26*v**3/27 + v**2/3 + 20. Suppose h(m) = 0. What is m?
0, 1/3, 1, 3
Solve 70*r**5 - 30*r - 25*r + 7 - 80*r**4 + 3 - 35*r**5 + 20*r**3 + 70*r**2 = 0.
-1, 2/7, 1
Let s(l) be the second derivative of 0*l**2 + 2/9*l**3 - 1/18*l**4 + 0 + 4*l. Suppose s(b) = 0. Calculate b.
0, 2
Let y = -40679/60 - -678. Let m(n) be the third derivative of -y*n**5 - 1/6*n**3 - 3*n**2 + 1/12*n**4 + 0*n + 0. Find l such that m(l) = 0.
1
Let p = -8 + 11. Let s(l) = -3*l**3 - 4*l**2. Let r(w) = -4*w**3 - 5*w**2. Let z(q) = p*s(q) - 2*r(q). Solve z(y) = 0 for y.
-2, 0
Let g(b) be the third derivative of -b**7/105 + b**5/15 - b**3/3 - 31*b**2. Suppose g(s) = 0. What is s?
-1, 1
Let l(q) be the second derivative of -q**7/315 + 2*q**6/225 + q**5/150 - q**4/45 - 6*q. Find o, given that l(o) = 0.
-1, 0, 1, 2
Factor -2 - 2*a + a - 2*a**2 + a + 4*a.
-2*(a - 1)**2
Let g(a) = a - 15. Let r be g(15). Suppose -1/4*u**2 + r + 0*u = 0. Calculate u.
0
Let u be (-1)/4 + (-27)/24*-2. Factor 2/3*d**4 + 6*d**u + 10/3*d**3 + 14/3*d + 4/3.
2*(d + 1)**3*(d + 2)/3
Let a(j) = j**3 - 4*j**2 + 1. Let r be a(4). Let q(h) be the first derivative of -2/3*h**3 + 0*h + 0*h**2 + 1/2*h**4 + r. Solve q(i) = 0 for i.
0, 1
Let d(s) be the first derivative of s**6/2 - 3*s**4/2 + 3*s**2/2 - 2. Suppose d(h) = 0. What is h?
-1, 0, 1
Let w(t) be the second derivative of t**6/10 + 3*t**5/10 + t**4/4 + 2*t. Solve w(v) = 0 for v.
-1, 0
Suppose 2/3*f**5 + 0*f - 6*f**2 + 10*f**3 - 14/3*f**4 + 0 = 0. What is f?
0, 1, 3
Let o = -1156 - -10412/9. Find c, given that 10/9*c**3 + o*c + 32/9*c**2 - 14/9*c**4 + 0 = 0.
-1, -2/7, 0, 2
Let l(g) be the second derivative of g**7/294 - g**5/70 + g**3/42 + 7*g. Let l(c) = 0. Calculate c.
-1, 0, 1
Factor 0*l - 1/5*l**5 + 0 + 1/5*l**3 + 1/5*l**4 - 1/5*l**2.
-l**2*(l - 1)**2*(l + 1)/5
Let c = -27 + 30. Let j(v) be the first derivative of 3/2*v**2 + c - 2*v + 7/4*v**4 + 4*v**3. Solve j(i) = 0 for i.
-1, 2/7
Suppose -7*h = -2*h - 15. Let s(m) be the third derivative of 0 - 1/6*m**4 + 1/10*m**5 - 1/60*m**6 + 0*m**3 + 0*m + h*m**2. Factor s(c).
-2*c*(c - 2)*(c - 1)
Let k be (-80)/14 + (-14)/49. Let x be 3*-1 - 22/k. Factor 1/3*a**2 + 1/3*a - x.
(a - 1)*(a + 2)/3
Let s be (3 + -5)/((-46)/(-2)). Let v = 102/115 + s. Suppose 2/5*b**2 + v*b**3 + 0 + 0*b + 2/5*b**4 = 0. What is b?
-1, 0
Let t = -9 - -28/3. Let s be (8/12 + 0)/2. Determine b so that -t*b**2 - s*b + 2/3 = 0.
-2, 1
Let v be -1 + (-3)/(9/(-15)). Solve 4*c + 7*c**3 + 0*c**v - 11*c**2 + c**3 - 2*c**4 + c**2 = 0.
0, 1, 2
Suppose u = 4*v - 3*u + 16, -4*v + 2*u = 26. Let x be (v/12)/(15/(-8)). Factor -2/5*g**3 + 2/5*g**2 - 2/5 + x*g.
-2*(g - 1)**2*(g + 1)/5
Let u be (-1 + 1)*(-4)/(-8). Let i(v) be the second derivative of -3*v - 2/3*v**2 + 4/9*v**3 - 5/36*v**4 + 1/60*v**5 + u. What is q in i(q) = 0?
1, 2
Factor 3/4*t**3 + 18 + 15/2*t**2 + 21*t.
3*(t + 2)**2*(t + 6)/4
Let n(y) be the first derivative of -5*y**3/3 + 55*y**2 - 605*y + 4. Factor n(z).
-5*(z - 11)**2
Factor 9/4*z**3 + 13/4*z - 1/2 - 5*z**2.
(z - 1)**2*(9*z - 2)/4
Let v be (-20)/(-8) - (-1)/(-2). Suppose 0*w + w - v = -3*d, 0 = -d - 2*w - 6. Factor 0*f - d*f + 0*f**2 + f - f**2.
-f*(f + 1)
Let u(t) be the first derivative of 2*t**4/5 + 2*t**3/15 - 16*t**2/5 - 8*t/5 - 8. What is s in u(s) = 0?
-2, -1/4, 2
Let -2/7*m**2 + 2/7*m + 0 + 2/7*m**4 - 2/7*m**3 = 0. Calculate m.
-1, 0, 1
Let b(n) = -4*n**2 - 2. Let h(g) = g**2 - g. Let d be h(-1). Let q(p) = 8*p**2 + 1 - 3*p + 2*p + 2 - 3*p**d. Let f(l) = 7*b(l) + 6*q(l). Factor f(k).
2*(k - 2)*(k - 1)
Factor 0 + 0*z**3 + 3/4*z**2 - 1/4*z**4 - 1/2*z.
-z*(z - 1)**2*(z + 2)/4
Let l = 232 - 2086/9. Let l*x + 0 + 0*x**2 - 2/9*x**3 = 0. What is x?
-1, 0, 1
Let z(k) be the third derivative of k**7/1050 - k**6/600 - k**5/60 - k**4/40 - 23*k**2. Factor z(o).
o*(o - 3)*(o + 1)**2/5
Let u(r) be the first derivative of 1/3*r**2 - 2 + 1/9*r**3 + 0*r. Suppose u(y) = 0. What is y?
-2, 0
Factor 3*o - 3*o**3 - o**2 - 2*o**2 - 1 + 4*o**3.
(o - 1)**3
Let u(z) = 18*z - 27. Let k(f) be the second derivative of f**4/12 + 3*f**3 - 27*f**2/2 + 2*f. Let b(w) = -3*k(w) + 4*u(w). Factor b(j).
-3*(j - 3)**2
Let u(l) = -l**3 - 7*l**2 - 5*l + 10. Let o be u(-6). Let b(j) be the first derivative of j**2 + 1/3*j**3 + 0*j - 1/4*j**o - 1. Find h such that b(h) = 0.
-1, 0, 2
Let m(q) = q**3 - q**2 - 1 - 5 + 7 + q. Let j(b) = b**3 - 19*b**2 - 20*b - 8. Let g(x) = j(x) - 4*m(x). Factor g(c).
-3*(c + 1)*(c + 2)**2
Let y = 4 + -10. Let u(t) = -3*t**3 + 9*t**2 + 6*t. Let d(i) be the second derivative of -i**5/20 + i**4/12 + i**3/6 - i. Let f(b) = y*d(b) + u(b). Factor f(w).
3*w**2*(w + 1)
Let u be 2/6 + (-18)/(-189). Factor 0*j + u*j**4 + 0*j**3 + 0 - 3/7*j**2.
3*j**2*(j - 1)*(j + 1)/7
Factor 8/7*t - 4/7 + 1/7*t**3 - 5/7*t**2.
(t - 2)**2*(t - 1)/7
Let i(k) be the first derivative of -k**6/150 + k**5/60 - k**4/120 + 3*k**2/2 + 2. Let h(s) be the second derivative of i(s). Factor h(n).
-n*(n - 1)*(4*n - 1)/5
Let k be (2 - -1) + -6 + 55/15. Factor -2/9 + k*o - 4/9*o**2.
-2*(o - 1)*(2*o - 1)/9
Let d(n) = n + 7. Let y(f) = -f - 13. Let z be y(-10). Let l be d(z). Factor 0*h - 2/3*h**l + 0 + 2/3*h**2 + 0*h**3.
-2*h**2*(h - 1)*(h + 1)/3
Let b = 12 + -56/5. Solve b*q + 8/5*q**3 - 2/5*q**4 + 0 - 2*q**2 = 0.
0, 1, 2
Suppose 0 = 23*j - 26*j + 9. Factor j*v**2 + 264*v - 264*v.
3*v**2
Suppose -k = -19 + 14. Determine p, given that 0 + 0*p**2 + 2/7*p**k - 2/7*p**4 + 0*p**3 + 0*p = 0.
0, 1
Let l(f) be the third derivative of -4*f**2 + 0*f**4 + 0*f + 0 - 1/2*f**3 + 1/20*f**5. Solve l(p) = 0.
-1, 1
Let s = -14 + 14. Let g(r) be the third derivative of s - 1/60*r**6 - 2*r**2 + 0*r + 0*r**3 + 0*r**5 + 1/12*r**4. Factor g(y).
-2*y*(y - 1)*(y + 1)
Suppose -4*t + 9 = -51. Let w be (24/t)/((-2)/(-5)). Factor 22/5*y**w + 4/5*y + 6*y**3 + 18/5*y**2 + 6/5*y**5 + 0.
2*y*(y + 1)**3*(3*y + 2)/5
Determine p, given that 2/5*p**3 - 2/5*p**5 + 6/5*p**4 - 8/5 + 24/5*p - 22/5*p**2 = 0.
-2, 1, 2
Let p be ((-1)/2)/((-13)/((-104)/(-12))). Determine o, given that -2/3*o**3 - 2/3*o**2 - p + o**4 - 1/3*o**5 + o = 0.
-1, 1
Determine v so that 3 + 15/4*v**2 - 6*v - 3/4*v**3 = 0.
1, 2
Let c be 46/14 - 5/35*2. Let s(g) be the second derivative of 1/42*g**4 + 0*g**2 + 1/21*g**3 + 0 + c*g. Factor s(w).
2*w*(w + 1)/7
Let g(i) be the third derivative of -i**8/30240 + i**7/3780 + 7*i**5/60 - 7*i**2. Let n(c) be the third derivative of g(c). Suppose n(u) = 0. Calculate u.
0, 2
Let l(u) be the third derivative of 1/300*u**5 - 1/40*u**4 - u**2 + 1/15*u**3 + 0*u + 0. Determine v, given that l(v) = 0.
1, 2
Let f(r) be the third derivative of 1/48*r**4 + 3*r**2 - 1/12*r**3 + 1/60*r**5 + 0*r + 0. Factor f(y).
(y + 1)*(2*y - 1)/2
Factor -15 + 5*c**2 + 3*c - 3*c + 0*c - 10*c.
5*(c - 3)*(c + 1)
Let n = 2741/70 + -272/7. Let h(c) be the third derivative of -c**2 + 11/60*c**6 + 4/105*c**7 + 1/12*c*