 Factor s(v).
-4*v**2*(v - 1)**3
Let c be (6/4)/((-1)/(-6)). Let b = -7 + c. Factor -2*o**2 + 2*o + o**2 - 3*o**b + 2*o**3.
2*o*(o - 1)**2
Factor 18/7*b**3 - 27/7*b**2 + 12/7*b - 3/7*b**4 + 0.
-3*b*(b - 4)*(b - 1)**2/7
Suppose 4*d + 0*d = 16. Determine v, given that -6/5*v - 6/5*v**d + 2/5 + 4/5*v**2 + 4/5*v**3 + 2/5*v**5 = 0.
-1, 1
Let a(t) = -t**3 - 4*t**2 - 2*t + 3. Let n be a(-3). Factor 1/5*d**4 + 1/5*d + 3/5*d**3 + 3/5*d**2 + n.
d*(d + 1)**3/5
Let c(g) be the third derivative of 1/28*g**8 - 11/40*g**6 + 1/14*g**7 + 0 - 13/8*g**4 - 23/20*g**5 + 0*g - 5*g**2 - g**3. Factor c(x).
3*(x - 2)*(x + 1)**3*(4*x + 1)
Let g(d) be the first derivative of -d**9/1512 + d**8/420 - d**6/90 + d**5/60 + 5*d**3/3 + 5. Let m(a) be the third derivative of g(a). Factor m(o).
-2*o*(o - 1)**3*(o + 1)
Let s(v) = -v + 6. Let t be s(0). Let u = t - 2. Suppose 0*n**4 + 4*n**u - 3*n**3 + n**3 + 3*n**4 - 5*n**5 = 0. Calculate n.
0, 2/5, 1
Let r = 37/78 - 4/13. Factor 1/6*u**2 + 0 + r*u.
u*(u + 1)/6
Let r be 4/22 + 9234/(-330). Let q = 28 + r. Factor 0 + q*o + 0*o**2 - 1/5*o**3.
-o*(o - 1)*(o + 1)/5
Let i be 2 - (-11)/14*-244. Let a = i + 190. Let -2/7*n**2 + a*n + 0 = 0. Calculate n.
0, 1
Let p(g) be the third derivative of -1/6*g**3 + 1/336*g**8 - 3*g**2 + 1/24*g**4 + 1/30*g**5 - 1/210*g**7 + 0 + 0*g - 1/60*g**6. Find a, given that p(a) = 0.
-1, 1
Let g(s) = -s**2 - 4*s + 3. Let u be g(-5). Let v be u - -2 - (-6)/2. Factor 0*n + 0 + 2/3*n**2 + 4/3*n**v + 2/3*n**4.
2*n**2*(n + 1)**2/3
Let a(b) = b. Let z be a(6). Let y be (z/16)/(144/64). Suppose -1/6 + 2/3*h + 2/3*h**3 - h**2 - y*h**4 = 0. Calculate h.
1
Let p(k) be the first derivative of -27/20*k**5 + 9/2*k**4 + 3*k**2 - 11/2*k**3 - 3/4*k - 3. Factor p(g).
-3*(g - 1)**2*(3*g - 1)**2/4
Let t(x) be the third derivative of 0*x**3 - 1/60*x**7 + 0 + 1/120*x**6 - 1/24*x**4 + 0*x + 7/120*x**5 + x**2. Factor t(m).
-m*(m - 1)*(m + 1)*(7*m - 2)/2
Factor -1/2*n**2 + 0 + 1/2*n.
-n*(n - 1)/2
Let j = -34439/60 + 574. Let u(y) be the second derivative of -y - j*y**6 + 0*y**2 + 0*y**3 + 0 - 1/20*y**5 - 1/24*y**4. Solve u(c) = 0 for c.
-1, 0
Let -6*k + 10*k**3 + 5*k**2 + 0*k**3 - 3*k**4 - 2*k**4 - 4*k = 0. Calculate k.
-1, 0, 1, 2
Find p, given that -6 + 15/2*p**2 - 3*p**4 + 3/4*p**3 - 3*p + 3/4*p**5 = 0.
-1, 2
Let v(q) be the first derivative of -q**2 - 4 - 1/3*q**3 + 0*q + 1/4*q**4. Solve v(c) = 0.
-1, 0, 2
Let c be 2*-2*(-6 + 141/24). Factor -1/2*z + 0 - c*z**4 + 1/2*z**3 + 1/2*z**2.
-z*(z - 1)**2*(z + 1)/2
Factor 1/6*i**2 + 4/3*i + 8/3.
(i + 4)**2/6
Let d(y) be the third derivative of 0*y - 5/56*y**4 + 0 - 1/280*y**6 + 1/7*y**3 + 3*y**2 + 1/35*y**5. Let d(o) = 0. What is o?
1, 2
Let l = -18 - -58/3. Suppose -l*m**2 + 2/3*m + 4/3 - 2/3*m**3 = 0. What is m?
-2, -1, 1
Let q(j) = 5*j**5 - j**3 + 4*j. Let g(c) = 9*c**5 - 2*c**3 + 7*c. Let u = -2 + 9. Let y(w) = u*q(w) - 4*g(w). Factor y(x).
-x**3*(x - 1)*(x + 1)
Let f = 9 - 17. Let n be (f/(-6))/(7 - 3). Factor 1/3*c**5 - 4/3*c**4 - 4/3*c**2 + 2*c**3 + 0 + n*c.
c*(c - 1)**4/3
Let v(s) be the third derivative of 0*s**3 + 2/945*s**7 + 0 + s**2 + 1/1512*s**8 - 1/135*s**5 - 1/108*s**4 + 0*s + 0*s**6. Factor v(l).
2*l*(l - 1)*(l + 1)**3/9
Let v(h) = h**3 - h**2 - h. Let m(f) = -18*f**4 - 28*f**3 + 2*f**2 + 6*f. Let w(b) = m(b) + 6*v(b). Factor w(d).
-2*d**2*(d + 1)*(9*d + 2)
Let z(b) be the first derivative of -b**6/90 + b**5/30 - b**4/36 + b - 3. Let n(s) be the first derivative of z(s). Factor n(w).
-w**2*(w - 1)**2/3
Let v(n) be the first derivative of n**4/26 + 2*n**3/13 - n**2/13 - 6*n/13 + 20. Determine b so that v(b) = 0.
-3, -1, 1
Let x(v) = -7*v**3 + 18*v**2 - 13*v + 2. Let k(o) = 13*o**3 - 35*o**2 + 26*o - 4. Let p(c) = 2*k(c) + 5*x(c). Factor p(d).
-(d - 1)**2*(9*d - 2)
Determine x so that 91*x**3 - 43*x**3 - 45*x**3 - 9*x**2 = 0.
0, 3
Let n = 13 + -8. Suppose s - 6 = 3*s + 5*d, n*s - 2*d - 14 = 0. Factor 0*o**s + 0*o + 2/5*o**5 + 2/5*o**3 + 0 + 4/5*o**4.
2*o**3*(o + 1)**2/5
Let i = -2706 + 625087/231. Let m(a) be the second derivative of 4/165*a**6 + 2/33*a**4 - 2*a + 0*a**2 + 3/55*a**5 + 1/33*a**3 + 0 + i*a**7. Factor m(c).
2*c*(c + 1)**4/11
Suppose 4 + 16 = 2*d. Let c(v) = 8*v**2 - 12*v - 10. Let r(o) = o**2 - o - 1. Let j(x) = d*r(x) - c(x). Factor j(p).
2*p*(p + 1)
Let w = 11 + -5. Let h(z) be the third derivative of -1/360*z**w + 0*z + 1/180*z**5 + 1/72*z**4 - 1/18*z**3 + 0 - z**2. Factor h(m).
-(m - 1)**2*(m + 1)/3
Factor -3/7*g**2 + 1/7*g**3 + 4/7 + 0*g.
(g - 2)**2*(g + 1)/7
Suppose 0 = 3*m + m - 16. Let u be ((-24)/9 - -3)*0. Let 1/5*d**m - 1/5*d**2 + u*d**3 + 0 + 0*d = 0. What is d?
-1, 0, 1
Let u = 2/1257 + 359/37710. Let p(v) be the third derivative of -u*v**5 + 1/36*v**4 + 0*v + 0 + v**2 + 2/9*v**3. Factor p(s).
-2*(s - 2)*(s + 1)/3
Let d(k) be the second derivative of 0 - 1/14*k**2 + 1/210*k**6 - 1/21*k**3 + 1/70*k**5 + k + 0*k**4. Factor d(l).
(l - 1)*(l + 1)**3/7
Suppose 0 = -2*l + 13 + 19. Suppose -5*r + 4*p + l = 0, -3*r + 4*p + 8 = 2*p. Factor 3/2*b**2 + b**3 - 1/2 + r*b.
(b + 1)**2*(2*b - 1)/2
Let q = 13 - 16. Let j be 0 - (-9 - -3 - q). Factor 0*a**2 + 1/4*a + 0 - 1/4*a**j.
-a*(a - 1)*(a + 1)/4
Let s(o) be the second derivative of o**4/66 + o**3/11 + 2*o**2/11 + 5*o. Factor s(q).
2*(q + 1)*(q + 2)/11
Let u(g) be the third derivative of g**5/330 - 7*g**4/132 + 2*g**3/11 + 10*g**2. Factor u(s).
2*(s - 6)*(s - 1)/11
Let d(o) be the third derivative of -o**8/168 + o**7/105 + o**6/60 - o**5/30 - 4*o**2. Factor d(b).
-2*b**2*(b - 1)**2*(b + 1)
Let y(u) be the third derivative of -u**6/540 - u**5/180 + u**3/3 + 3*u**2. Let i(z) be the first derivative of y(z). Factor i(r).
-2*r*(r + 1)/3
Let j be (-56)/(-35)*(-14 + -1). Let p be 6/8 - (-6)/j. Factor -p*a**4 + 1/2*a**2 + 0*a + 0 + 0*a**3.
-a**2*(a - 1)*(a + 1)/2
Suppose 3*g = 8 + 4. Let 0 - 2/5*v**3 + 0*v**2 + 0*v**g + 0*v + 2/5*v**5 = 0. What is v?
-1, 0, 1
Let b = -8 + 10. Determine w so that -w**3 + 0*w**2 + 0*w**3 - b*w**2 + 0*w**2 = 0.
-2, 0
Let l(p) be the first derivative of 4/5*p**3 + 0*p**2 - 6 + 0*p - 9/25*p**5 + 1/10*p**6 + 0*p**4. Factor l(g).
3*g**2*(g - 2)**2*(g + 1)/5
Suppose -5 - 3 = -2*l. Find y, given that -4*y**2 - 12*y**3 + l*y**3 + 14*y + 1 + 3 - 6*y**3 = 0.
-1, -2/7, 1
Let p(z) = -z**3 - 9*z**2 + 9*z - 10. Let m be p(-10). Let g = m + 3. Factor -w - 2*w + 12*w**2 - 9*w**3 + 3*w**4 - g*w**2.
3*w*(w - 1)**3
Let n(i) = i**4 - i**3 + i. Let k(m) = m**4 - 4*m**3 + 3*m**2 - 2*m. Let j(b) = -k(b) - 2*n(b). Factor j(x).
-3*x**2*(x - 1)**2
Let d(k) be the third derivative of -49*k**6/120 - 56*k**5/15 - 29*k**4/6 - 8*k**3/3 + 6*k**2. Suppose d(j) = 0. What is j?
-4, -2/7
Solve 43*i**2 - 5*i + 17*i - 41*i**2 + 18 = 0.
-3
Let c(s) be the first derivative of -1/3*s**3 - 1/8*s**4 + 1 - 1/4*s**2 + 0*s. Factor c(u).
-u*(u + 1)**2/2
Let s(f) be the first derivative of 4*f**5/45 - 8*f**3/27 + 4*f/9 - 26. Factor s(x).
4*(x - 1)**2*(x + 1)**2/9
Let y(m) be the second derivative of 4*m + 1/18*m**4 + 1/20*m**5 - 9/14*m**7 + 0*m**3 + 0 - 2/5*m**6 + 0*m**2. Let y(n) = 0. What is n?
-1/3, 0, 2/9
Factor 10/11*f + 8/11*f**2 - 2/11*f**3 + 0.
-2*f*(f - 5)*(f + 1)/11
Let m(g) be the first derivative of -2 - 2*g**3 + 3*g + 3/2*g**2. Factor m(s).
-3*(s - 1)*(2*s + 1)
What is j in 2/3*j + 2/3*j**3 + 0 + 4/3*j**2 = 0?
-1, 0
Let f(q) be the third derivative of -q**5/20 - q**4/4 + 60*q**2. Solve f(i) = 0 for i.
-2, 0
Let f(w) be the first derivative of 0*w**3 + 0*w**2 - 3/50*w**5 + w - 1 + 1/30*w**4. Let a(t) be the first derivative of f(t). Factor a(l).
-2*l**2*(3*l - 1)/5
Let c(f) be the second derivative of f**7/252 - 8*f**6/45 + 11*f**5/4 - 121*f**4/9 - 1331*f**3/36 + 17*f. Solve c(s) = 0 for s.
-1, 0, 11
Let y(q) = -5*q**2 + 33*q - 48. Let z(u) = -5*u**2 + 32*u - 47. Let a(g) = 2*y(g) - 3*z(g). Suppose a(d) = 0. Calculate d.
3
Factor 1423*h - 1423*h - 2*h**3 + 3*h**4.
h**3*(3*h - 2)
Suppose 0*n + 6 = 3*n. Factor r**2 + 3*r + 5*r**n - 3*r**2 + 0*r.
3*r*(r + 1)
Factor -4*o + o + 15*o + 3*o**3 - 15*o**2.
3*o*(o - 4)*(o - 1)
Let w(r) be the third derivative of r**6/900 + r**5/300 - r**4/30 - 7*r**3/6 - 3*r**2. Let v(j) be the first derivative of w(j). Suppose v(y) = 0. What is y?
-2, 1
Factor -1/5 + 1/5*g**2 + 0*g.
(g - 1)*(g + 1)/5
Factor 11*f + 13*f**3 - 12 + 52*f**2 + 2*f**3 + 15*f - f**3.
2*(f + 1)*(f + 3)*(7*f - 2)
