*z**2. Let a(h) be the second derivative of l(h). Factor a(k).
2*k**3*(k - 1)*(k + 1)/11
Let p(h) = h**3 + 4*h + 5. Let g be p(-1). What is n in 2/3*n**3 + g - 4/3*n**2 + 2/3*n = 0?
0, 1
Let y(f) be the first derivative of -3*f**4/4 - 10*f**3/3 - 14*f**2/3 - 8*f/3 - 36. Factor y(u).
-(u + 2)*(3*u + 2)**2/3
Solve 26/11*m**2 - 24/11*m - 12/11*m**3 + 2/11*m**4 + 8/11 = 0.
1, 2
Let r be (2/20)/(-1)*(3 - 8). Let 9/2*n + 0 + r*n**3 + 3*n**2 = 0. What is n?
-3, 0
Let h = -9 + 13. Let r(p) be the first derivative of -1/3*p + 1/9*p**3 - 1/12*p**h - 2 + 1/6*p**2. Solve r(t) = 0.
-1, 1
Suppose l = 5*l - 24. Let h = l + -6. Factor 0 + h*n - 2/7*n**2.
-2*n**2/7
Factor -8*f + 12*f**4 + 0*f**3 + 6*f**3 + 0*f**5 + 4*f**5 - 2*f**3 - 12*f**2.
4*f*(f - 1)*(f + 1)**2*(f + 2)
Factor -2/5*i**2 - 84/5*i - 882/5.
-2*(i + 21)**2/5
Factor -43*f**3 - 5*f**2 - 15*f**4 + 93*f**3 + 5*f**5 - 35*f**3.
5*f**2*(f - 1)**3
Suppose -8 - 44 = 4*y. Let c = y + 18. Factor -2/7*q**c + 0 + 0*q + 2/7*q**3 + 2/7*q**4 - 2/7*q**2.
-2*q**2*(q - 1)**2*(q + 1)/7
Suppose 5*x - 4*w - 41 = 0, -2*x - w - 2*w = 2. Factor o**2 + 4*o**3 - 3*o - x*o**3 - 4*o**2 - 1 + 0.
-(o + 1)**3
Let p(y) be the second derivative of y**6/60 + y**5/15 + 7*y**4/72 + y**3/18 - 6*y. Find i such that p(i) = 0.
-1, -2/3, 0
Let g = -17 + 15. Let w be (-2 - 0 - g)/(-1). Factor w*d - 3/2*d**2 + 3/2.
-3*(d - 1)*(d + 1)/2
Factor -1/2*h + 3/4*h**2 - 1/4*h**3 + 0.
-h*(h - 2)*(h - 1)/4
Let r(k) be the third derivative of 0*k**4 + 0*k**3 - 1/120*k**6 + 0 + 0*k + 4*k**2 + 1/30*k**5. What is h in r(h) = 0?
0, 2
Let s be 2 + -2 - (3 + (-10)/3). Suppose -2*m = 3*c - 15, 2*c = -3*m - 2*m + 21. Find u, given that -1/3*u**4 + 0 - u**2 - s*u - u**m = 0.
-1, 0
Suppose 0 = -25*v + 15*v. Let x = -2/204561 - -260610736/2250171. Factor v + 756/11*c**3 + x*c**4 + 686/11*c**5 + 16/11*c + 184/11*c**2.
2*c*(c + 1)*(7*c + 2)**3/11
Let n(h) be the second derivative of -h**4/78 + 2*h**3/39 - h**2/13 - 2*h. Factor n(z).
-2*(z - 1)**2/13
Let r(u) = -6*u**2 + 6*u - 4. Let c(i) = -i**2 - i + 1. Let n(j) = j**2 + 11*j - 9. Let y(x) = -6*c(x) - n(x). Let d(o) = 3*r(o) + 4*y(o). Factor d(k).
2*k*(k - 1)
Suppose 0 = 3*l - 80 + 8. Let u be (-3)/(-4)*l/15. Factor -u*n + 6/5*n**3 + 2/5*n**2 + 2/5*n**4 - 4/5.
2*(n - 1)*(n + 1)**2*(n + 2)/5
Let h(s) be the second derivative of s**9/15120 - s**7/4200 - s**3/3 - 4*s. Let n(l) be the second derivative of h(l). Determine b, given that n(b) = 0.
-1, 0, 1
Let p(d) be the first derivative of -2*d**6/3 + 12*d**5/5 - 2*d**4 - 8*d**3/3 + 6*d**2 - 4*d + 18. Suppose p(l) = 0. Calculate l.
-1, 1
Let l(r) = 8*r**2 + r**3 - r**2 - 4*r**2 - 4*r**2. Let j(s) = -4*s**2 + 1 + 2*s**3 + 2*s - s + 0*s. Let k(q) = -j(q) + 3*l(q). Factor k(p).
(p - 1)*(p + 1)**2
Let d(x) be the first derivative of -x**5/5 - x**4/4 - 26. Find n such that d(n) = 0.
-1, 0
Factor 31*s**3 - 6*s**4 - 31*s**5 + 84*s**4 + 94*s**5 - 7*s**3.
3*s**3*(3*s + 2)*(7*s + 4)
Factor 0 - 1/10*m**3 - 1/10*m**2 + 1/5*m.
-m*(m - 1)*(m + 2)/10
Let p = -1011 - -1014. Factor -4/7*w - 10/7*w**2 - 4/7*w**p + 0.
-2*w*(w + 2)*(2*w + 1)/7
Let z(d) be the second derivative of d**4/114 - 20*d**3/57 + 100*d**2/19 - 10*d. Factor z(p).
2*(p - 10)**2/19
Factor -1/5*i**3 + 1/5*i - 2/5 + 2/5*i**2.
-(i - 2)*(i - 1)*(i + 1)/5
Let h(d) be the first derivative of -3*d**5/5 - 15*d**4/4 - 6*d**3 + 6*d**2 + 24*d + 5. Factor h(f).
-3*(f - 1)*(f + 2)**3
Let g be (-4)/(-8)*-2*0/2. Let y(o) be the first derivative of 0*o**3 + 1 + 0*o + 1/10*o**4 + g*o**2. Suppose y(a) = 0. What is a?
0
Let i(g) be the first derivative of -2*g**5/15 + g**4/2 - 4*g**2/3 - 15. Factor i(b).
-2*b*(b - 2)**2*(b + 1)/3
Let x be ((-5)/((-20)/32))/6. Solve 8/3*w**4 - x - 6*w - 4/3*w**2 + 6*w**3 = 0 for w.
-2, -1, -1/4, 1
Let c(x) be the second derivative of -81/10*x**5 + x + 9/5*x**6 + 0 + 8*x**2 + 15*x**4 - 44/3*x**3. Factor c(w).
2*(w - 1)*(3*w - 2)**3
Let p = 469/314 - -1/157. Factor p*y + 1 + 1/2*y**2.
(y + 1)*(y + 2)/2
Let n be (-4)/22*(-1 - (-14)/(-8)). Factor -n*a**2 - 1/2 - a.
-(a + 1)**2/2
Let y = 25 + -19. Let w(r) be the first derivative of 26/35*r**5 - 4/21*r**y - 1/7*r**2 + 0*r - 2 + 2/3*r**3 - 15/14*r**4. Factor w(v).
-2*v*(v - 1)**3*(4*v - 1)/7
Let h(w) = w**3 - w**2 - 7*w + 5. Let l be h(4). Suppose -x = -5*p + l, -2*p + x = p - 17. Factor 4/5*j**2 + 2/5*j**3 + 0 - 6/5*j**p + 0*j.
-2*j**2*(j - 1)*(3*j + 2)/5
Suppose -3*n + 1 = -5. Suppose -9*g**n + 3 + 6*g - 21*g - 9 = 0. What is g?
-1, -2/3
Let j = 5 + -3. Factor -4*u**2 - 5*u**2 + 3*u**2 + 4*u**j + 2*u**3.
2*u**2*(u - 1)
Let c = -63/20 + 22/5. Suppose 2*u - 5*u + 9 = 0. Determine y, given that 1/2 - c*y - 1/4*y**u + y**2 = 0.
1, 2
Suppose -1 = -4*f + 115. Suppose 7*g**2 - f*g**2 + 12*g**3 + 1 - 4*g**3 + 10*g + 3 = 0. Calculate g.
-1/4, 1, 2
Let x(m) be the third derivative of -m**6/300 + 2*m**5/75 - m**4/12 + 2*m**3/15 - 5*m**2. Factor x(g).
-2*(g - 2)*(g - 1)**2/5
Determine p, given that 4/9*p**2 - 2/9*p**3 + 2/3*p + 0 = 0.
-1, 0, 3
Let w = 309/2 - 154. What is g in w + 1/2*g**2 + g = 0?
-1
Let u be 20/12 + (-4)/12. Let -2/3*c**4 - 2/3 + 4/3*c**2 - 2/3*c**5 - 2/3*c + u*c**3 = 0. Calculate c.
-1, 1
Let q(g) be the second derivative of 2/3*g**3 - 1/6*g**4 - g**2 - 3*g + 0. Determine w so that q(w) = 0.
1
Let o(j) be the third derivative of j**8/840 - j**7/525 - 6*j**2. Factor o(a).
2*a**4*(a - 1)/5
Suppose 0 = -4*y - y - 50. Let b be ((-1)/(-1))/((-5)/y). Suppose -n + n**b + n**3 + n = 0. Calculate n.
-1, 0
Let -64*b + 176/3*b**2 + 32/3 + 112*b**3 + 98/3*b**4 = 0. Calculate b.
-2, 2/7
Let l(b) be the third derivative of 8/35*b**7 + 0 - 1/2*b**3 - b**2 + b**4 - 3/4*b**5 + 0*b - 1/5*b**6. Factor l(j).
3*(j - 1)*(j + 1)*(4*j - 1)**2
Suppose -2*a = 3*a - 3*d - 1, 2*a = -2*d + 10. What is g in -1/4*g**4 + 1/4*g**a + 0*g + 1/4*g**3 + 0 - 1/4*g**5 = 0?
-1, 0, 1
Suppose 4*a - 28 = 28. Suppose -2*x + 5*x - 3*x + 4*x + a*x**2 = 0. Calculate x.
-2/7, 0
Let d = 69 + -66. Factor -2/7*h - 2/7*h**d + 0 - 4/7*h**2.
-2*h*(h + 1)**2/7
Factor 0 + 0*u**3 + 4/5*u**2 - 4/5*u**4 - 2/5*u + 2/5*u**5.
2*u*(u - 1)**3*(u + 1)/5
Suppose -5*u = -30 + 5. Let q(i) = i**3 - 6*i**2 + 5*i + 2. Let c be q(u). What is m in 1/4*m**c + m + 1 = 0?
-2
Let x be 9/12 - (-13)/(-28). Suppose 2/7*s**2 + 0*s - x = 0. What is s?
-1, 1
Let g(b) be the second derivative of -7*b - b**3 + 0*b**4 - 3/2*b**2 + 1/10*b**6 + 0 + 3/10*b**5. Factor g(x).
3*(x - 1)*(x + 1)**3
Let s = -107/5 + 643/30. Let u(d) be the second derivative of -1/10*d**5 + s*d**6 + 0 - d + 0*d**2 + 0*d**3 + 1/12*d**4. Solve u(j) = 0 for j.
0, 1
Let f(d) be the third derivative of 14*d**7/135 + 7*d**6/135 + d**5/135 + 27*d**2. Determine g so that f(g) = 0.
-1/7, 0
Let u(m) = 2*m**2 - 6*m + 6. Let n(f) = 0*f**2 + 3 + 2*f**2 + 0 + 2 - 5*f. Let d(g) = 6*n(g) - 5*u(g). Factor d(q).
2*q**2
Solve -n**3 + 0 - 3 + 1 + n + 2*n**2 = 0.
-1, 1, 2
Let k(h) be the first derivative of h**5/120 - 3*h**2/2 + 3. Let w(b) be the second derivative of k(b). Factor w(n).
n**2/2
Factor 0*g**2 + 3*g**5 - 33/5*g**4 + 0*g + 6/5*g**3 + 0.
3*g**3*(g - 2)*(5*g - 1)/5
Suppose -4*j = h - 22, -2*j - 4*h = -5*j + 26. Let o = j + -6. Find s such that -2*s**3 + 2*s**2 + s**4 + s**4 - 2*s**3 + o*s**3 = 0.
0, 1
Let r be -1 + (368/(-42))/(-8). Let y(a) be the first derivative of -3/14*a**4 - 6/35*a**5 + 0*a**2 - r*a**3 + 0*a - 1/21*a**6 - 1. Factor y(x).
-2*x**2*(x + 1)**3/7
Let d(l) be the third derivative of l**5/180 + l**4/24 - 2*l**2. Factor d(o).
o*(o + 3)/3
Let d(c) = c. Let z(o) = -3*o**3 - 3*o**2 - 3*o + 3. Let p(h) = -6*d(h) - z(h). Factor p(v).
3*(v - 1)*(v + 1)**2
Let u(z) be the third derivative of 5*z**5/12 + 85*z**4/24 + 5*z**3 + 5*z**2. Factor u(d).
5*(d + 3)*(5*d + 2)
Let m(u) be the first derivative of -2 + 2*u - 2/3*u**3 - 1/2*u**4 + u**2. Find l such that m(l) = 0.
-1, 1
Determine k, given that 6*k**3 - 7/2*k**2 + 0 + 1/2*k = 0.
0, 1/4, 1/3
Let r = -63 + 65. Let l(a) be the third derivative of -a**r + 0*a - 3/4*a**4 - 7/30*a**5 + 0 - 2/3*a**3. Factor l(m).
-2*(m + 1)*(7*m + 2)
Factor -5 - 1/5*d**2 - 2*d.
-(d + 5)**2/5
Let x be (-1)/(-2) + 3/2. Suppose z - 7*z = 0. Factor 0*h**x + 0 - 2/3*h**4 + 0*h**3 + z*h.
-2*h**4/3
Let m(f) be the second derivative of f**6/30 - f**5/20 - f**4/12 + f**3/6 - 2*f. Let m(c) = 0. Calculate c.
-1, 0, 1
Factor 1/6 - 1/6*n + 1