8 + p**4.
-2*p*(p - 2)*(p + 1)**2
Let n(l) = l**2 - 4*l - 3. Let y be n(5). Let s be (-4 + 4 + 0)/(-2). Factor -4/3*w + 10/3*w**4 + 2/3*w**y + s + 16/3*w**3.
2*w*(w + 1)**2*(5*w - 2)/3
Let -1/4*t**2 - 1/4 - 1/2*t = 0. What is t?
-1
Let d(r) be the first derivative of 20/3*r**2 + 7/6*r**4 + 1 - 4*r**3 - 2/15*r**5 - 16/3*r. Factor d(y).
-2*(y - 2)**3*(y - 1)/3
Factor 36*j - 62*j**3 + 33*j**3 + 33*j**3 + 24*j**2.
4*j*(j + 3)**2
Factor -2/5 - 1/5*x**3 + 0*x**2 + 3/5*x.
-(x - 1)**2*(x + 2)/5
Factor -g - 2/5 - 1/5*g**3 - 4/5*g**2.
-(g + 1)**2*(g + 2)/5
Let y = 19 + -15. Let w = -187/5 + 38. Solve w*l**y + 0*l - 2/5*l**2 + 0 - 1/5*l**3 = 0.
-2/3, 0, 1
Factor 9/2*p**2 - 3/2*p**3 + 3/2 - 9/2*p.
-3*(p - 1)**3/2
Let h(s) be the second derivative of -3/20*s**5 + 0 + 1/4*s**4 + 2*s + 0*s**2 + 1/2*s**3 - 1/10*s**6. Solve h(a) = 0 for a.
-1, 0, 1
Factor -1/3*v**4 - 8/3*v**2 + 0 - 5/3*v**3 - 4/3*v.
-v*(v + 1)*(v + 2)**2/3
Let c be (-2)/(-4) + 12/8. Let j = 6 + -4. What is n in n + 3*n**2 - 4*n**c + 0*n**j = 0?
0, 1
Let y be 3 - (2 - (-88)/90). Let p(c) be the second derivative of 0*c**3 + 0*c**2 - 1/15*c**5 + 2*c + 0 + y*c**6 + 1/18*c**4. Factor p(a).
2*a**2*(a - 1)**2/3
Factor -5*x + 8 - 44*x**2 - 15*x - 9*x**3 - 7*x**3.
-4*(x + 1)*(x + 2)*(4*x - 1)
Let -48*n + 31 + 258*n**2 - 128*n**2 + 257 - 128*n**2 = 0. What is n?
12
Let f = 62 - 58. Let n = -1 + 1. Let -3/4*s**3 - 1/4*s**2 - 3/4*s**f + n*s + 0 - 1/4*s**5 = 0. What is s?
-1, 0
Let m(x) be the second derivative of x**7/70 - x**6/40 - x**5/20 + x**4/8 - 3*x**2/2 - 3*x. Let j(n) be the first derivative of m(n). Factor j(g).
3*g*(g - 1)**2*(g + 1)
Let g(o) = -o - 3. Let a be g(-3). Let f(u) be the third derivative of a + 0*u**6 - u**2 + 0*u**3 + 0*u**4 + 0*u - 1/90*u**5 + 1/315*u**7. Factor f(c).
2*c**2*(c - 1)*(c + 1)/3
Let k(f) = 6*f - 34. Let c be k(6). Factor 0 + 1/2*u + 1/2*u**3 + u**c.
u*(u + 1)**2/2
Let s be ((-81)/(-18))/((-2)/((-4)/3)). Let i(f) be the third derivative of -3*f**2 + 0*f - 1/12*f**4 + 0*f**5 - 2/9*f**s + 1/180*f**6 + 0. Factor i(m).
2*(m - 2)*(m + 1)**2/3
Factor 1 - l**3 - 27*l**2 + 7*l**2 + 8*l**2 + 11*l**2 + l.
-(l - 1)*(l + 1)**2
Suppose 5 = 4*k - 7. Factor 5 - 13*a + 4*a - k*a**2 - 11.
-3*(a + 1)*(a + 2)
Determine i so that -1/5*i**5 + 0 - 2/5*i**2 + 0*i + 1/5*i**3 + 2/5*i**4 = 0.
-1, 0, 1, 2
Factor -10*w**3 + 30*w**3 - 16*w**3 + 2*w - 1 + 7*w**2.
(w + 1)**2*(4*w - 1)
Suppose -5*n = -3*n. Let m(j) be the first derivative of 1/4*j**4 + n*j - 3 + 2/3*j**3 + 0*j**2. Factor m(z).
z**2*(z + 2)
Let n(v) be the second derivative of -v**8/3360 + v**7/1680 + v**6/720 - v**5/240 - v**3/2 - 3*v. Let w(h) be the second derivative of n(h). Factor w(a).
-a*(a - 1)**2*(a + 1)/2
Suppose -3*g = 4*c - 1, -8*c + 4*c - 9 = 5*g. Find v, given that -v - 2/3 + 1/3*v**c + 1/3*v**2 + v**3 = 0.
-2, -1, 1
Let v = 10 + -8. Factor 2*r + 4*r**2 - r + r**2 - 4*r**v.
r*(r + 1)
Let w(h) be the third derivative of 1/525*h**7 + 2*h**2 - 1/300*h**6 + 0*h**4 + 0*h**5 + 0*h**3 + 0 + 0*h. Factor w(m).
2*m**3*(m - 1)/5
Let j be (-7 - 1)/2 - (193 + -201). Determine k, given that 18/5*k + 4/5 + j*k**2 + 6/5*k**3 = 0.
-2, -1, -1/3
Let q(u) be the third derivative of 2*u**7/105 + u**6/15 - u**5/3 - u**4 + u**2 + 12*u. Factor q(s).
4*s*(s - 2)*(s + 1)*(s + 3)
Let i(k) be the first derivative of k**5/10 - k**4/4 + 2. Let i(r) = 0. Calculate r.
0, 2
Let s(n) be the third derivative of 0 + 1/20*n**6 + 1/20*n**5 + 0*n**4 + 1/70*n**7 + 0*n + 0*n**3 + 5*n**2. Factor s(g).
3*g**2*(g + 1)**2
Let l(c) be the first derivative of 3/4*c**4 + 0*c**3 - 3/2*c**2 - 3 + 0*c. Factor l(p).
3*p*(p - 1)*(p + 1)
Let d(q) = -q**2 - 5. Let a(b) = -2*b**2 - 14. Let r = 12 + -4. Let z(n) = r*d(n) - 3*a(n). Factor z(g).
-2*(g - 1)*(g + 1)
Let t(u) be the second derivative of u**8/13440 + u**7/1680 - u**5/60 + u**4/12 - 2*u. Let w(o) be the third derivative of t(o). Determine k so that w(k) = 0.
-2, 1
Factor -9/4*l**2 - 27/4 + 27/4*l + 1/4*l**3.
(l - 3)**3/4
Suppose 0*u - 2/5*u**2 + 0 - 7/5*u**3 = 0. Calculate u.
-2/7, 0
Solve -3*c + 3*c**3 + 7*c**4 + c**2 - 1 - 1 - 6*c**4 = 0.
-2, -1, 1
Suppose -4*n - 2*c + 2 = 0, 3*n + 0*c + c = 1. Let g(p) be the first derivative of 0*p**2 + n*p**3 - 2/15*p**5 + 0*p**4 + 2 - 1/18*p**6 + 0*p. Solve g(u) = 0.
-2, 0
Suppose -5*b + 3*j + 27 = 0, 0*j = -3*j - 12. Factor d**5 + 2*d**4 + 11*d**3 - 11*d**b - 2*d**2 - d.
d*(d - 1)*(d + 1)**3
Let q = 71/102 - 1/34. Find t, given that 0 + 1/3*t + 1/3*t**3 - q*t**2 = 0.
0, 1
Suppose -5*w + 15 = -25. Suppose -q = q - w. Find a such that a**q + 3*a**4 - 3*a**2 - 3*a**4 - a**3 - 2 + 5*a = 0.
-2, 1
Let v be (-28)/(-8) - 1/2. Let i = 8 - v. Factor 0*g - i*g**2 + 3*g**2 + 2*g.
-2*g*(g - 1)
Factor 15*p**4 - 2*p**2 + 46 - 4*p**5 - 20*p**3 + 12*p**2 - 47.
-(p - 1)**4*(4*p + 1)
Let j(y) = 2*y + 3*y - 4*y**3 - 8*y**2 - 4*y - 5. Let a = 5 - 10. Let m(i) = -2*i**3 - 4*i**2 - 2. Let c(s) = a*m(s) + 2*j(s). Let c(d) = 0. Calculate d.
-1, 0
Let f = 2696 + -647039/240. Let h(y) be the third derivative of 2*y**2 + 1/24*y**3 + 0*y**4 - f*y**5 + 0*y + 0. Determine z, given that h(z) = 0.
-1, 1
Suppose 4 = -4*n, 3*d + 3 = 5*d + n. Let u(l) be the third derivative of 0 + 0*l**3 + 0*l + 2*l**d - 1/150*l**5 + 1/30*l**4. Let u(x) = 0. What is x?
0, 2
Let z(i) = -i**2 - i - 1. Let o be (-9)/7 + (-4)/(-14). Let t(d) = -4*d**2 - 5*d - 5. Let x(q) = o*t(q) + 5*z(q). What is f in x(f) = 0?
0
Suppose 16/5 - 4*h**2 + 6/5*h**5 + 54/5*h**3 - 32/5*h**4 - 24/5*h = 0. What is h?
-2/3, 1, 2
Let z(u) = -u + 11. Let m be z(8). Let b be ((-4)/m)/((-2)/3). Factor b*a**2 + 0*a + 4*a - 2*a**4 + a**5 - 5*a.
a*(a - 1)**3*(a + 1)
Let h(b) be the third derivative of -5*b**2 + 0*b**5 + 0*b + 0 + 1/10*b**4 - 1/350*b**7 + 0*b**3 - 3/200*b**6. Factor h(j).
-3*j*(j - 1)*(j + 2)**2/5
Let p(l) = l**2 - l. Let i be p(-2). Suppose c - 2 = k, 3*c = i*c + 2*k + 4. Find d, given that c + 0*d + 0*d**2 + 1/3*d**3 + 1/3*d**4 = 0.
-1, 0
Let b be ((-2)/(-1)*-1)/(-2). Let i = b + 1. Factor 2*k**3 + k**4 - k**2 - i*k**3.
k**2*(k - 1)*(k + 1)
Let k(b) = b**2 - 4*b + 9. Let v be k(6). Let f = v + -19. Factor 1/2*m**f - 1 - 1/2*m.
(m - 2)*(m + 1)/2
Let r be 1 + -1 - (-1 + -2). Find d such that -2*d**5 + r*d**4 - 6*d**2 + 4*d**3 + 5*d**2 - 2*d**2 - d - d = 0.
-1, -1/2, 0, 1, 2
Suppose -3 = l - x, 0 = 3*x - 2 - 13. Let u(m) be the first derivative of -7/3*m**6 + 0*m - m**4 + 0*m**l + 18/5*m**5 - 1 + 0*m**3. What is f in u(f) = 0?
0, 2/7, 1
Let h(s) = 6*s**3 - 12*s**2. Let v = 6 + -8. Let k(a) = -5*a**3 + 11*a**2. Let u(i) = v*h(i) - 3*k(i). Solve u(r) = 0.
0, 3
Let -17*o**3 - 4*o**4 + 16*o**3 - 8*o**2 + 13*o**3 = 0. Calculate o.
0, 1, 2
Let b(s) be the third derivative of s**5/90 - s**4/12 - 4*s**3/9 + 26*s**2. Factor b(g).
2*(g - 4)*(g + 1)/3
Let x(h) be the third derivative of -h**5/15 + h**4/3 - 2*h**3/3 - 7*h**2. What is n in x(n) = 0?
1
Let j(p) = -56*p**4 + 46*p**3 - p**2 + 11. Let g(y) = 11*y**4 - 9*y**3 - 2. Let i(u) = 11*g(u) + 2*j(u). Find b such that i(b) = 0.
-2/9, 0, 1
Let w = 90 + -88. Let v(l) be the third derivative of -1/60*l**5 + 0 - 1/240*l**6 + 0*l + 0*l**3 - 1/48*l**4 + w*l**2. Factor v(j).
-j*(j + 1)**2/2
Factor -4/3*q**2 + 0 + 0*q**3 - 2/3*q + 2/3*q**5 + 4/3*q**4.
2*q*(q - 1)*(q + 1)**3/3
What is d in 4/9 + 4/9*d**3 - 4/9*d**2 - 4/9*d = 0?
-1, 1
Let u(m) = -3*m**2 - 16*m - 25. Let z(q) = -3*q**2 - 15*q - 24. Let i(j) = -3*u(j) + 2*z(j). Let i(h) = 0. What is h?
-3
Factor -1 + 3/4*m**3 + 5/4*m**2 - 1/4*m**4 - 3/4*m.
-(m - 4)*(m - 1)*(m + 1)**2/4
Let w(p) be the first derivative of p**6/18 + p**5/5 + p**4/4 + p**3/9 - 6. Factor w(t).
t**2*(t + 1)**3/3
Let b(v) be the third derivative of -v**5/12 - 25*v**4/24 + 5*v**3 + 43*v**2. Find o, given that b(o) = 0.
-6, 1
Factor 1 + 1/4*l**2 + l.
(l + 2)**2/4
Let w(s) be the third derivative of 0*s**3 + 0 + 0*s + 2/105*s**5 - 1/420*s**6 - 4*s**2 - 1/21*s**4. Factor w(x).
-2*x*(x - 2)**2/7
Let a(t) be the first derivative of -2*t**5/15 + 4*t**4/3 - 32*t**3/9 + 10. Find c, given that a(c) = 0.
0, 4
Let q(g) be the first derivative of 4*g**5/5 + 3*g**4 + 4*g**3/3 - 6*g**2 - 8*g - 2. Solve q(k) = 0.
-2, -1, 1
Let h(p) be the third derivative of p**6/90 - p**5/15 + p**4/9 - 3*p**2. Factor h(f).
4*f*(f - 2)*(f - 1)/3
Let a(t) be the third derivative of -t**8/112 - t**7/70 + t**6/20 + t**5