tive of s**5/10 + s**4/6 - s**3/3 - s**2 + 3*s - 1. Let x(u) be the first derivative of k(u). Factor x(d).
2*(d - 1)*(d + 1)**2
Let h(z) be the third derivative of z**7/315 + z**6/144 - z**5/120 - 5*z**4/144 - z**3/36 + 5*z**2. Solve h(g) = 0.
-1, -1/4, 1
Factor 1768*m**2 + 6*m - m - 1778*m**2.
-5*m*(2*m - 1)
Let h be ((-16)/10)/2*-1. Let n be (-12 + -2)*(-6)/21. Factor 0 + 9/5*z**5 + h*z + n*z**2 + 6*z**4 + 37/5*z**3.
z*(z + 1)**2*(3*z + 2)**2/5
Suppose 5 = 5*f - 4*o, -o + 1 - 5 = -4*f. Let a be f + -2 + 117/63. Determine m so that a*m**2 - 4/7 + 2/7*m = 0.
-1, 2/3
Let x(j) be the second derivative of -3*j**5/80 + 3*j**4/16 - j**3/4 - 4*j. Suppose x(c) = 0. What is c?
0, 1, 2
Let s(h) be the second derivative of 0 + 0*h**5 + 0*h**2 - 1/24*h**4 - 1/24*h**3 + 1/60*h**6 + h + 1/168*h**7. Factor s(i).
i*(i - 1)*(i + 1)**3/4
Suppose -4*v - 4*j - 1 = -5, 4*v + 2*j = 10. Suppose 0 = -5*z - v*r + 31, 3*r + 3 = 5*z - 0. Factor 0*k - 4/5*k**z - 2/5*k**4 + 0*k**2 + 2/5*k**5 + 0.
2*k**3*(k - 2)*(k + 1)/5
Let x be 10/(-25) - (-2)/15*3. Factor -9/4*b**3 + 0 + x*b - 7/4*b**4 - 1/2*b**2.
-b**2*(b + 1)*(7*b + 2)/4
Let s(j) be the first derivative of j**3/6 - j**2 - 6. Factor s(k).
k*(k - 4)/2
Let y(g) = g**3 + 5*g**2 - 7*g - 4. Let m be -3 + -1 - 6/3. Let s be y(m). Factor -8/3*o + 8/3 + 2/3*o**s.
2*(o - 2)**2/3
What is f in 2*f**2 + 2/3*f + 2*f**3 + 2/3*f**4 + 0 = 0?
-1, 0
Factor -4/3*g**5 + 0*g**3 + 8/3*g**4 - 8/3*g**2 + 4/3*g + 0.
-4*g*(g - 1)**3*(g + 1)/3
Let h(z) be the first derivative of -1/2*z**2 + 2/5*z**5 + 0*z - 2/3*z**3 + 0*z**4 - 3 + 1/6*z**6. Factor h(m).
m*(m - 1)*(m + 1)**3
Let h = 6662/28169 - 2/1657. Let q = h + 22/51. Solve -q*l**2 - 2/3*l + 0 = 0.
-1, 0
Let s(y) be the first derivative of -y**4 - 7*y**2 + 16/3*y**3 - 4/5*y**5 + 4*y + 1/3*y**6 + 4. Factor s(q).
2*(q - 1)**4*(q + 2)
Let v(q) = -3*q**3 + 5*q**2 - 2*q + 1. Let i be v(5). Let n = -2847/11 - i. Factor 2/11*b**2 - n + 0*b.
2*(b - 1)*(b + 1)/11
Let -3/4*m**5 + 0*m**3 + 3/2*m**2 - 3/2*m**4 + 3/4*m + 0 = 0. What is m?
-1, 0, 1
Let q(c) = -9*c - 1. Let z be q(-1). Suppose -128/3*l**3 - 2/3 - z*l - 32*l**2 = 0. Calculate l.
-1/4
Let r(s) be the first derivative of s**4/4 + 2*s**3/3 - s**2 - 2*s - 6. Let t be r(-2). Solve -7/2*y**t + y + 0 = 0 for y.
0, 2/7
Suppose -5*z - 5*d = -15, 0 = 3*z + d - 0*d - 7. Suppose 10*v = 12*v. Factor -1/3*l**3 + v + 2/3*l**z - 1/3*l.
-l*(l - 1)**2/3
Factor -6*g - 24 - 119*g**2 + 115*g**2 + 34*g.
-4*(g - 6)*(g - 1)
Suppose -3*d + 5*k = 4, -2*k = d + 3*k - 12. Factor 2/5*w**d + 0*w + 0.
2*w**2/5
Factor -1/4*b**2 - 15/2*b - 225/4.
-(b + 15)**2/4
Let d(x) be the first derivative of -x**6/24 - x**5/10 + x**3/6 + x**2/8 - 35. Factor d(h).
-h*(h - 1)*(h + 1)**3/4
Suppose -3*a = -1 - 14. Suppose 6*z**3 - 3*z**2 + 5*z**2 - 2*z**5 + 4*z**a + 6*z**4 = 0. What is z?
-1, 0
Let f be (1/(-79))/((-10)/60). Let y = 128/395 + f. Determine a, given that 4/5*a**3 + y*a**4 + 0*a**2 - 4/5*a - 2/5 = 0.
-1, 1
Let k be 2/21 - (-192)/630. Determine v so that 0 - 2/15*v**5 + 2/15*v**2 + 2/5*v**4 + 0*v - k*v**3 = 0.
0, 1
Let s(k) be the first derivative of k**6/8 - 3*k**5/10 + k**3/2 - 3*k**2/8 - 9. Solve s(u) = 0 for u.
-1, 0, 1
Suppose -4*x = -0*x - 8. Determine z so that 18*z + z**3 + z**3 - z**3 + 12*z**x + z**3 = 0.
-3, 0
Suppose g - 12 = -3*g. Determine f, given that -6*f**2 + 3*f**3 - f**g + 6*f**4 - 29*f + 27*f = 0.
-1, -1/3, 0, 1
Determine x, given that 3*x**2 + 5*x**2 - 24*x**4 + 36*x**3 + 4*x**5 - 8*x**2 = 0.
0, 3
Suppose -3*g - 2*g + 25 = 0. Suppose 2*b = g*b - 6. Factor -c**3 + 6 + 2*c**b - 6*c**2 - 8 - 4*c - c.
-(c + 1)**2*(c + 2)
Let t = 28069/3742 + -2/1871. Determine d so that 3/2*d**3 - 3 - 6*d**2 + t*d = 0.
1, 2
Let o(u) = -u**3 - 3*u**2 + 6*u + 3. Let j(r) = r**3 + 2*r**2 - 5*r - 2. Let f(t) = -5*j(t) - 4*o(t). Factor f(c).
-(c - 2)*(c - 1)*(c + 1)
Let i = -2 + 2. Determine t so that t - 3 - 2 + 3 + i + t**2 = 0.
-2, 1
Suppose 0 = 2*t - 5*c - 1, -2 = -2*c - 0. Let -64/9*f - 16/9*f**t - 2/9*f**4 - 16/3*f**2 - 32/9 = 0. Calculate f.
-2
Let d(y) be the second derivative of -y**9/12096 - y**8/6720 - y**3/2 + y. Let r(q) be the second derivative of d(q). Factor r(c).
-c**4*(c + 1)/4
Let w be ((-6)/18)/(22/18). Let x = 2/33 - w. Suppose 1/3*u**3 + x*u**2 + 0 - 2/3*u = 0. Calculate u.
-2, 0, 1
Let m(b) = -5*b**3 + 2*b**2 - b + 1. Let x(o) = 9*o**3 - 4*o**2 + o - 1. Let s(i) = -5*m(i) - 3*x(i). Factor s(u).
-2*(u - 1)**2*(u + 1)
Let u be 5*(-3)/6*-6. Suppose l - u = -2*l. Factor -4*p**l + 2*p**5 + 3*p**5 - p**3.
p**3*(p - 1)*(p + 1)
Let x(c) be the third derivative of 0 - 4*c**2 + 0*c - 1/540*c**6 + 0*c**4 + 0*c**3 + 1/270*c**5. Factor x(i).
-2*i**2*(i - 1)/9
What is i in 3/5*i**4 - 12/5*i + 12/5*i**3 - 12/5 + 9/5*i**2 = 0?
-2, -1, 1
Find b, given that 64/7*b - 96/7*b**2 - 4/7*b**4 + 0 + 36/7*b**3 = 0.
0, 1, 4
Let t(j) be the second derivative of j**7/1260 + 23*j**6/2520 + j**5/70 + j**4/3 + 3*j. Let i(r) be the third derivative of t(r). Factor i(v).
2*(v + 3)*(7*v + 2)/7
Let x(y) be the first derivative of -y**6/3 + 6*y**5/5 - y**4 - 4*y**3/3 + 3*y**2 - 2*y + 2. Find i such that x(i) = 0.
-1, 1
Let w(r) = -r**2 - 8*r - 13. Let h be w(-5). Let v be 384/660 - h/11. Factor -m + 2/5 - v*m**2 + m**3.
(m - 1)*(m + 1)*(5*m - 2)/5
Let a be (18/4*-1)/(6/(-4)). Let w(k) be the first derivative of -1 + 0*k + 3/2*k**2 - k**a. Find t such that w(t) = 0.
0, 1
Let v(c) = -3*c**2 + 5*c - c + 4*c**2 - 1. Let k be v(-5). What is b in -1/3*b**2 - 1/3*b**3 + 1/3*b**k + 1/3*b**5 + 0 + 0*b = 0?
-1, 0, 1
Let f(s) be the first derivative of s**4/4 - s**3/3 + 1. Let w be f(3). Factor w*z**2 + 4 - 12*z - 10*z**3 + 2*z**3 - 2.
-2*(z - 1)**2*(4*z - 1)
Let u(m) be the first derivative of -3*m**4/16 - 7*m**3/12 - 5*m**2/8 - m/4 + 35. Let u(c) = 0. Calculate c.
-1, -1/3
Let h(r) = 2*r**2 - 4*r - 8. Let c(w) = -3*w**2 + 3*w + 8. Let i(y) = -4*c(y) - 5*h(y). Factor i(g).
2*(g + 2)**2
Suppose c + 165 = 5*s - 2*c, 4*c = 5*s - 170. Let t = s + -28. Factor 0*d**3 - 2/11*d**5 + 0 + 4/11*d**t - 4/11*d**4 + 2/11*d.
-2*d*(d - 1)*(d + 1)**3/11
Let -2*l**2 + 0*l**4 + 4*l**4 + l**4 - 4*l**4 + 1 = 0. Calculate l.
-1, 1
Let a = -2034 + 549181/270. Let w(y) be the third derivative of 0 + 1/945*y**7 + 2*y**2 + 0*y**4 + 0*y + 1/270*y**5 + 0*y**3 + a*y**6. Let w(j) = 0. What is j?
-1, 0
Suppose -3*q - 29 + 77 = 0. Suppose -11*t = -q*t + 10. Determine b so that 0 - 1/2*b + 1/2*b**t = 0.
0, 1
Let r = 1 - -1. Let q(f) = 2*f - 3. Let y be q(r). Factor y + 7*u - 2*u**2 - 3 - 3*u**2.
-(u - 1)*(5*u - 2)
Let o(u) be the third derivative of u**6/600 - u**4/120 - 10*u**2. Factor o(p).
p*(p - 1)*(p + 1)/5
Let o = 6 + -8. Let h be 3/(-6)*o*2. Factor k**2 - 1 + h*k + 1.
k*(k + 2)
Let u be (0 + -6 + 4 + -2)/(-2). Let z(l) be the second derivative of 0 - u*l + 1/18*l**4 - 1/9*l**3 + 0*l**2. Suppose z(t) = 0. What is t?
0, 1
Let n(y) be the third derivative of -y**10/604800 + y**8/40320 - y**6/2880 + y**5/60 - 3*y**2. Let h(c) be the third derivative of n(c). What is d in h(d) = 0?
-1, 1
Let x = -424 + 426. Factor 0*a**x + 6/5*a**3 + 0*a - 3*a**5 + 0 - 9/5*a**4.
-3*a**3*(a + 1)*(5*a - 2)/5
Let r(d) be the third derivative of d**5/40 - 3*d**4/16 + d**3/2 - 4*d**2. Solve r(w) = 0 for w.
1, 2
Let -1/9*l - 1/9*l**2 + 0 = 0. Calculate l.
-1, 0
Let q(w) be the second derivative of w**6/2 + w**5 - 5*w**4/6 - 10*w**3/3 - 5*w**2/2 - 5*w. Factor q(s).
5*(s - 1)*(s + 1)**2*(3*s + 1)
Determine j so that 1/3*j**4 - 1/3*j - 1/3*j**5 - 2/3*j**2 + 2/3*j**3 + 1/3 = 0.
-1, 1
Factor 0 + 0*p + 1/6*p**3 + 1/6*p**2.
p**2*(p + 1)/6
Let m(r) = 4*r**4 - 5*r**3 - 17*r**2 + 5*r + 13. Let z(w) = w**4 - w**3 - 4*w**2 + w + 3. Let p(s) = -6*m(s) + 26*z(s). Find q such that p(q) = 0.
-2, -1, 0, 1
Let x be 527/34 - 2/(-4). Suppose -5*s + v - 1 = -x, 2*v = -s + 3. Find k, given that 4/5*k + 6/5*k**2 - 2/5*k**4 + 0*k**s + 0 = 0.
-1, 0, 2
Suppose -3*r = -q - 3, -q + 1 = r - 5*q. Let p(m) = 3*m**3 - 2*m**2 + 2*m - 1. Let c be p(r). Suppose d - 1/2*d**c + 0 = 0. What is d?
0, 2
Let y = -5 - -8. Suppose -6 = -y*m + m. Factor 3*n**3 - 4*n**3 - n**m.
-2*n**3
Let f(h) be the first derivative of 2*h**5/5 - h**4/2 - 2*h**3/3 + h**2 - 4. Factor f(v).
2*v*(v - 1)**2*(v + 1)
Let a = -8 - -13. Suppose 1 = -2*r - a, -11 = 2*x + 5*r. Factor 10/9*w**x - 8/9 - 16/9*w.
2*(w - 2)