11*o**4.
2*o**2*(o - 1)*(o + 1)/11
Let x be -1 + 3 - 48/28. Let n(w) = -w**2 - 5*w. Let b be n(-1). Let -x*g + 4/7*g**2 + 4/7*g**3 - 2/7*g**5 - 2/7 - 2/7*g**b = 0. Calculate g.
-1, 1
Let s = 32291/11628 - -1/1292. Let k(b) be the first derivative of -1 - 5/3*b**2 + 1/3*b + s*b**3. Factor k(f).
(5*f - 1)**2/3
Let y = 19/27 + -1/27. Factor 0 - y*h - 2/3*h**3 - 4/3*h**2.
-2*h*(h + 1)**2/3
Let z be (-6)/(21*(-5)/5). Factor 0*x + z*x**2 + 0.
2*x**2/7
Let z(c) be the first derivative of -c**8/840 - c**7/210 - c**6/180 + c**3 - 2. Let q(g) be the third derivative of z(g). Factor q(h).
-2*h**2*(h + 1)**2
Let b(a) = 5*a - 40. Let v be b(8). Suppose -4*d + 5 = -7. Factor 0*f**2 + v - 2/3*f**d - 1/3*f**4 + 0*f.
-f**3*(f + 2)/3
Let t be (-10 + 9)/(2/(-18)). Factor -4*b**5 - 3*b**2 + 6*b**3 + 3*b**3 - t*b**4 + 7*b**5.
3*b**2*(b - 1)**3
Factor 0*o - 1/2*o**2 + 1/2.
-(o - 1)*(o + 1)/2
Suppose -4*q + 0 = -12. Determine c, given that 7 + 0*c + q*c**2 - 18*c + 9 + 11 = 0.
3
Let f(p) be the second derivative of p**7/7 - 29*p**6/45 + 11*p**5/10 - 5*p**4/6 + 2*p**3/9 + 3*p. Factor f(g).
2*g*(g - 1)**3*(9*g - 2)/3
Let w be 40/(-25) + (-7)/((-21)/6). Factor -2/5*t - 4/5 + w*t**2.
2*(t - 2)*(t + 1)/5
Let g(n) be the first derivative of -n**6/180 + 2*n**5/45 - n**4/9 + 2*n**2 - 4. Let u(j) be the second derivative of g(j). Factor u(v).
-2*v*(v - 2)**2/3
Let j(r) be the second derivative of 0*r**3 + 1/50*r**5 + 2*r + 1/75*r**6 + 0*r**2 + 0 + 0*r**4. Factor j(a).
2*a**3*(a + 1)/5
Let h be ((-7)/35)/(8/(-10)). Determine s, given that 0*s + h*s**4 - 1/2*s**3 + 0 + 0*s**2 = 0.
0, 2
Let f = 7 + -15. Let m be (6/f)/(5/(-20)). Factor 2*s**3 + s**m - s**3 - 2*s.
2*s*(s - 1)*(s + 1)
Let a(p) = -4*p - 1. Let h be a(-1). Let k(y) be the first derivative of -2/15*y**h - 1/5*y**2 + 0*y + 1. Solve k(o) = 0.
-1, 0
Let m(z) be the third derivative of -z**8/224 - z**7/70 + z**6/16 + z**5/4 - z**4/4 - 2*z**3 + 17*z**2. Determine o, given that m(o) = 0.
-2, -1, 1, 2
Let t = 4 + 0. Let b = -4 + t. Factor -2/9*a**4 - 4/9*a**5 + 0*a + b + 0*a**2 + 2/9*a**3.
-2*a**3*(a + 1)*(2*a - 1)/9
Let u(t) be the first derivative of -t**6/16 - 9*t**5/40 - 9*t**4/32 - t**3/8 + 9. Factor u(p).
-3*p**2*(p + 1)**3/8
Solve -1/4*m**3 - 5/4*m**2 - 1 - 2*m = 0.
-2, -1
Let l be ((-1)/10)/(17/(170/(-36))). Let j(a) be the second derivative of 0*a**3 - 4*a + 1/6*a**2 + 0 - l*a**4. What is i in j(i) = 0?
-1, 1
Factor 1/2*p**2 + 0*p - 2.
(p - 2)*(p + 2)/2
Factor -7*z + 10*z + 6*z**2 + 2*z**2.
z*(8*z + 3)
Let v(a) = 4*a**3 + 7*a**2 + 6*a + 3. Let z(w) = -w**3 - w**2 - w - 1. Let m(h) = 4*v(h) + 20*z(h). Factor m(r).
-4*(r - 2)*(r - 1)*(r + 1)
Suppose 0 = -u - n + 6, u + 4*n - 5 = 13. Suppose -31*a = -35*a + 8. Factor -9*b**2 + 13*b + u*b**3 - 4 + 0*b**3 + b**a - 3*b.
2*(b - 2)*(b - 1)**2
Let t be -1 - 0 - -3 - 0. Factor 4*r**3 - 4*r**3 - r**3 + 0*r**t + r - r**2 + r**4.
r*(r - 1)**2*(r + 1)
Let l(p) be the first derivative of 0*p**2 - 3*p + 1/60*p**5 - 1/18*p**3 - 1 + 0*p**4. Let u(n) be the first derivative of l(n). Factor u(b).
b*(b - 1)*(b + 1)/3
Let g be 1 + (1 - 2)/1. Suppose w - 4 + g = 0. Suppose 0*f + 0*f + f**3 - f**w = 0. Calculate f.
0, 1
Let b(j) be the third derivative of j**8/56 + 2*j**7/105 - j**6/60 - 5*j**2. Solve b(o) = 0 for o.
-1, 0, 1/3
Determine u, given that 18/7*u**2 - 6/7*u**5 + 0*u - 18/7*u**4 + 0 + 6/7*u**3 = 0.
-3, -1, 0, 1
Let s be 4/6*(-27)/(-4). Factor 2*y**3 - s*y**2 + 3*y - 1/2.
(y - 1)**2*(4*y - 1)/2
Let f = -118/3 + 40. Let u(k) be the second derivative of 0*k**2 + k + 1/3*k**3 + 1/2*k**5 + 0 - f*k**4 - 2/15*k**6. Factor u(a).
-2*a*(a - 1)**2*(2*a - 1)
Let a = -135929/43 + 3161. Let p = a + 190/129. Factor p*x + 2/3*x**2 + 2/3.
2*(x + 1)**2/3
Let i(f) be the first derivative of -2*f**3/15 + 4*f**2/5 - 8*f/5 + 6. Factor i(o).
-2*(o - 2)**2/5
Let p(a) be the second derivative of a**5/30 - 2*a. Factor p(r).
2*r**3/3
Let l(t) be the first derivative of -t**8/1680 + t**7/840 + t**6/120 - t**5/120 - t**4/12 + t**3 + 2. Let q(z) be the third derivative of l(z). Factor q(f).
-(f - 2)*(f - 1)*(f + 1)**2
Let o(c) be the second derivative of -3/20*c**5 + 0*c**3 + 0 - 8*c + 0*c**2 + 1/4*c**4. Suppose o(t) = 0. What is t?
0, 1
Let g(l) be the third derivative of -l**6/480 - l**5/120 - l**4/96 + 5*l**2. Solve g(o) = 0 for o.
-1, 0
Let v(w) = 17*w**4 + 40*w**3 + 19*w**2 - 8*w + 2. Let x(d) = -18*d**4 - 39*d**3 - 18*d**2 + 9*d - 3. Let y(l) = 3*v(l) + 2*x(l). Factor y(c).
3*c*(c + 1)*(c + 2)*(5*c - 1)
Let q(j) be the second derivative of j**7/231 + j**6/165 - j**5/55 + 9*j. Suppose q(l) = 0. What is l?
-2, 0, 1
Let 6/7*w**3 + 10/7*w - 2*w**2 - 2/7 = 0. What is w?
1/3, 1
Let s be 14/(-84)*15 + 1 + 3. Suppose -s*r**2 + 3 - 3/2*r = 0. Calculate r.
-2, 1
Suppose 3*r = 134 - 26. Let a be 1/3 + 6/r. Factor -1/4*o**4 + 0 - a*o**3 + 0*o - 1/4*o**2.
-o**2*(o + 1)**2/4
Let i(h) be the first derivative of h**4/42 - h**3/21 - 2*h**2/7 - h + 3. Let y(m) be the first derivative of i(m). Let y(z) = 0. Calculate z.
-1, 2
Let p(o) be the third derivative of o**8/26880 - o**7/10080 - o**6/2880 + o**5/480 + o**4/24 - o**2. Let j(m) be the second derivative of p(m). Factor j(l).
(l - 1)**2*(l + 1)/4
Let l(r) be the third derivative of -r**7/5040 + r**6/360 - r**5/60 + r**4/18 - r**3/2 - 3*r**2. Let z(n) be the first derivative of l(n). Factor z(j).
-(j - 2)**3/6
Let o(n) be the second derivative of n**5/80 + 5*n**4/48 + 7*n**3/24 + 3*n**2/8 + 7*n. Factor o(h).
(h + 1)**2*(h + 3)/4
Solve 20 - 4*i**2 + 29*i**2 - 40*i - 42*i**3 + 37*i**3 = 0 for i.
1, 2
Suppose -3 = 2*a - r, -2*a = 4*r - 1 - 1. Let i(s) = 3*s**2 - 2*s - 1. Let d be i(a). Find q such that q**2 - 19*q - d*q**3 + 19*q = 0.
0, 1/4
Let t = 4 + -2. Solve h**3 - 3*h**3 + 2*h**2 - t*h**4 - 2*h**3 - 4*h**2 = 0.
-1, 0
Let n = -14 - -20. Suppose 3/2*g**2 - n*g**3 + 0 + g + 7/2*g**4 = 0. What is g?
-2/7, 0, 1
Let b(n) be the third derivative of n**6/480 - n**5/60 + 5*n**4/96 - n**3/12 + 5*n**2. Find f, given that b(f) = 0.
1, 2
Factor 0 - 1/2*w**2 + 1/2*w.
-w*(w - 1)/2
Let j = 143/105 + -14/15. Factor -j*r**5 + 0 + 0*r**3 + 6/7*r**4 - 6/7*r**2 + 3/7*r.
-3*r*(r - 1)**3*(r + 1)/7
Let r = -85/3 + 29. Suppose -r*a - 4/3*a**2 + 2/3*a**4 + 4/3*a**3 + 2/3 - 2/3*a**5 = 0. Calculate a.
-1, 1
Factor 3/4*t**4 - 9/4*t**2 - 15/4*t - 3/2 + 3/4*t**3.
3*(t - 2)*(t + 1)**3/4
Let x = 10 + -8. Factor 2 - 3*l**x + 6*l - 6 + l**2.
-2*(l - 2)*(l - 1)
Let d(z) be the first derivative of 5*z**4/4 + 5*z**3/3 - 5*z**2/2 - 5*z + 25. Factor d(x).
5*(x - 1)*(x + 1)**2
Let j(b) be the first derivative of 3/10*b**2 + 3/100*b**5 - 1/20*b**4 - 4*b + 3 - 1/10*b**3. Let m(l) be the first derivative of j(l). Factor m(n).
3*(n - 1)**2*(n + 1)/5
Let s(c) = c - 2. Let w be s(5). Solve -3/4*t**w + 3/4*t**2 - 3/4*t**4 + 3/4*t + 0 = 0 for t.
-1, 0, 1
Let i(j) = j**3 - j**2 - j - 1. Suppose 0*o + 4*o = 4. Let n(x) = -24*x**3 + 18*x**2 + 4*x + 6. Let b(g) = o*n(g) + 6*i(g). Factor b(h).
-2*h*(3*h - 1)**2
Let k = 4 - 4. Suppose -v = -k - 3. Factor 4*j**v + j**2 + 2*j**5 + j**2 - 5*j**4 - 3*j**2.
j**2*(j - 1)**2*(2*j - 1)
Let p be (3/10)/((-6)/(-5)). Let t be ((-24)/(-28))/(12/28). Let -p*d**4 + 0*d**t + 1/2*d - 1/2*d**3 + 1/4 = 0. What is d?
-1, 1
Let w(x) = x**2 + x + 1. Let m(k) = -7*k**2 - 4*k - 1. Let z(u) = -m(u) - 4*w(u). Factor z(s).
3*(s - 1)*(s + 1)
Let l(m) be the third derivative of m**8/3360 - m**7/525 + m**6/300 + 20*m**2. Determine d so that l(d) = 0.
0, 2
Suppose -39 + 356*o - 17*o**3 - 736*o**2 - 10*o**3 + 91*o**3 - 5 = 0. Calculate o.
1/4, 11
Let o(k) = -12*k**4 + 10*k**3 + 48*k**2 - 16*k - 6. Let q(g) = -12*g**4 + 11*g**3 + 48*g**2 - 16*g - 7. Let a(s) = -7*o(s) + 6*q(s). Factor a(x).
4*x*(x - 2)*(x + 2)*(3*x - 1)
Determine o, given that -5/3*o**2 - 20/3 + 20/3*o = 0.
2
Let a(j) = j**2 - 5*j + 6. Let c be a(3). Let y = 11 - 21/2. Factor 1/2*x**3 + y*x**2 + c + 0*x.
x**2*(x + 1)/2
Let n(a) be the second derivative of a**10/40320 - a**9/60480 - a**8/8960 + a**7/10080 + a**4/3 - 2*a. Let v(f) be the third derivative of n(f). Solve v(g) = 0.
-1, 0, 1/3, 1
Let t(z) be the second derivative of -4*z**7/21 + 2*z**6/5 + 4*z**5/5 - z**4 - 4*z**3/3 - 30*z. Solve t(y) = 0.
-1, -1/2, 0, 1, 2
Let b(h) be the first derivative of -h**3/18 + h**2 - 6*h + 13. Factor b(f).
-(f - 6)**2/6
Let m(o) = -12*o**5