**2 = 0.
-1, -2/5, 0
Let z(p) be the first derivative of -2*p**5/25 + p**4/10 + 2*p**3/15 - p**2/5 - 25. Determine o so that z(o) = 0.
-1, 0, 1
Let d(o) be the first derivative of o**3/24 - o/8 - 15. Solve d(a) = 0.
-1, 1
Let g(u) = u**2 - 21*u + 24. Suppose -237 = -8*i - 77. Let t be g(i). Factor -1/4 + 3/4*o**5 - 3/2*o**2 + 1/2*o**3 + 7/4*o**t - 5/4*o.
(o - 1)*(o + 1)**3*(3*o + 1)/4
Factor 0 + 0*q - 3/2*q**5 + 0*q**2 - 3*q**4 + 0*q**3.
-3*q**4*(q + 2)/2
Let u(r) be the second derivative of -r**4 + 0 - 3/2*r**3 + 0*r**2 - 3/20*r**5 + 10*r. Factor u(z).
-3*z*(z + 1)*(z + 3)
Let p = 39/7 - 38/7. Let w(d) be the second derivative of -1/7*d**3 + 1/21*d**4 + 0 + p*d**2 + 2*d. What is h in w(h) = 0?
1/2, 1
Let n(w) = -16*w**3 - 3*w**2 + w. Let l be n(2). Let r = l + 1520/11. Factor r + 0*q - 2/11*q**2.
-2*(q - 1)*(q + 1)/11
Let p be 10/18 + 4/(-8). Let n(r) be the first derivative of 0*r - 4/27*r**3 - 2 - 1/9*r**2 - p*r**4. Determine g so that n(g) = 0.
-1, 0
Let u = 259/172 - 1/172. Let 0*b + 3/2*b**3 + 3/2*b**4 - u*b**5 - 3/2*b**2 + 0 = 0. What is b?
-1, 0, 1
Let o(y) be the first derivative of 0*y - y**2 - 1/60*y**6 + 2/15*y**5 + 0*y**3 - 1/3*y**4 - 1. Let n(b) be the second derivative of o(b). Factor n(i).
-2*i*(i - 2)**2
Suppose -7*m + 6 - 6 = 0. Let h(r) be the second derivative of m*r**3 + 0 - 1/30*r**4 + 1/5*r**2 - 2*r. Factor h(j).
-2*(j - 1)*(j + 1)/5
Let z(r) = 84*r**4 + 60*r**3 - 108*r**2 - 69*r + 33. Let s(v) = 21*v**4 + 15*v**3 - 27*v**2 - 17*v + 8. Let j(g) = 9*s(g) - 2*z(g). Find h such that j(h) = 0.
-1, 2/7, 1
Let o(i) = 9*i**3 - 15*i**2 - 2*i - 11. Suppose -4 - 5 = y. Let w = -15 - y. Let s(r) = 5*r**3 - 8*r**2 - r - 6. Let j(f) = w*o(f) + 11*s(f). Factor j(v).
v*(v + 1)**2
Let v(t) be the second derivative of -t - 1/15*t**4 + 1/50*t**5 - 1/15*t**3 + 0 + 2/5*t**2. Suppose v(s) = 0. What is s?
-1, 1, 2
Let k = -27/65 + 8/13. Factor -k*t + 1/5*t**3 + 0*t**2 + 0.
t*(t - 1)*(t + 1)/5
Let k(n) = -3*n**3 + 2*n**2 + 2*n + 1. Let f be k(-1). Find y such that -2*y**5 + y - 7*y**4 - 2 - 3*y + f*y**3 + 4*y**4 + 4*y**2 + y**4 = 0.
-1, 1
Suppose -q = -1 - 1. Suppose -b = -21 + q. Factor -b*l - l**4 + 19*l.
-l**4
Factor -2/5*h**3 + 0 + 0*h - 6/5*h**2.
-2*h**2*(h + 3)/5
Let c(n) = -n**5 + n**4 - n**3 - 24*n**2 - 16*n + 5. Let a(d) = -d**4 + 1. Let i(l) = -5*a(l) + c(l). Factor i(p).
-p*(p - 4)**2*(p + 1)**2
Solve -1 + 1/2*d**5 - 5/2*d + 2*d**3 + 2*d**4 - d**2 = 0 for d.
-2, -1, 1
Factor 155*w**2 - 140*w**2 - 5*w**3 - 7*w - 3*w.
-5*w*(w - 2)*(w - 1)
Let q(i) be the third derivative of 0 + 1/12*i**4 + 2*i**2 + 0*i - 1/9*i**3 - 1/72*i**5. Factor q(f).
-(f - 2)*(5*f - 2)/6
Suppose 80 = 12*f - 14*f. Let p = -116/3 - f. Determine q, given that 10/3*q + p + 8/3*q**2 + 2/3*q**3 = 0.
-2, -1
Let x(j) = -j**2 + j + 2. Let l(q) = q**2 - q - 2. Let o(g) = -2*l(g) - 3*x(g). Determine d, given that o(d) = 0.
-1, 2
Let h(a) be the third derivative of -a**7/315 + a**6/20 + 9*a**2 - 1. Find d such that h(d) = 0.
0, 9
Let j = -106 + 108. Determine i so that 0 - 1/2*i + 2*i**j = 0.
0, 1/4
Let -s**3 - 11*s**2 + 6*s - 8*s**2 - 8 + 22*s**2 = 0. Calculate s.
-2, 1, 4
Factor 22 + 3*r**3 - 23 + 15*r - 12*r**2 - 5.
3*(r - 2)*(r - 1)**2
Let g(w) be the first derivative of -w**5/5 - w**4/4 + 8. Factor g(y).
-y**3*(y + 1)
Let l(h) be the first derivative of h**4/2 - h**2 + 1. Let l(c) = 0. Calculate c.
-1, 0, 1
Factor -7/6*s + 5/6*s**5 + 1/3*s**2 + 3*s**3 - 1/2 + 17/6*s**4.
(s + 1)**4*(5*s - 3)/6
Suppose -4 = 2*k - 14. Suppose k*q + 5*i - 10 = 0, 0*i = -3*q - 4*i + 6. Find s, given that 4*s**3 + s - 5*s - 1 + s**2 + 0*s**q + 0 = 0.
-1, -1/4, 1
Suppose 26*a**3 - 4*a**4 + 2*a**2 - 63*a**3 + 35*a**3 = 0. What is a?
-1, 0, 1/2
Let h = -175/4 - -44. Determine q so that 0*q + h*q**2 + 0 = 0.
0
Let j(y) be the second derivative of -y**4/102 + y**3/51 - 5*y. Factor j(l).
-2*l*(l - 1)/17
Let s = -23/10 - -19/5. Let 0 - 2*g**3 + g + s*g**4 - 1/2*g**2 = 0. What is g?
-2/3, 0, 1
Let v(x) be the third derivative of -x**6/200 + x**5/50 - x**4/40 + 2*x**2. Suppose v(k) = 0. Calculate k.
0, 1
Let q(o) be the second derivative of o**9/2520 - o**8/4200 - o**7/1050 - 5*o**3/6 - 3*o. Let f(n) be the second derivative of q(n). Factor f(v).
2*v**3*(v - 1)*(3*v + 2)/5
Let v(s) be the second derivative of 0 + 0*s**4 + 1/42*s**6 - 2*s + 0*s**3 + 0*s**2 - 1/70*s**5. Factor v(d).
d**3*(5*d - 2)/7
Let m(q) be the third derivative of -q**5/150 - q**4/30 - q**3/15 + 3*q**2. Factor m(x).
-2*(x + 1)**2/5
Suppose -14 = -3*u + 1. Let k(l) be the second derivative of l + 0*l**2 - 2/45*l**6 + 0 - 1/63*l**7 + 0*l**3 - 1/30*l**u + 0*l**4. Suppose k(i) = 0. What is i?
-1, 0
Let m(n) be the first derivative of -5*n**4/16 - 5*n**3/4 - 15*n**2/8 - 5*n/4 - 18. Find z, given that m(z) = 0.
-1
Let j(q) be the first derivative of -4/7*q**3 + 13/42*q**4 + 4/7*q**2 + 1 - 3/35*q**5 + 2*q + 1/105*q**6. Let x(u) be the first derivative of j(u). Factor x(w).
2*(w - 2)**2*(w - 1)**2/7
Let i(v) be the second derivative of -v**7/14 - v**6/10 - v. Factor i(c).
-3*c**4*(c + 1)
Let u(d) = 3*d + 12. Let a be u(-4). Suppose 0 = -3*v + t + 1, a = -v + 2*t + t - 13. Determine g, given that -7/4*g - g**v + 1/2 = 0.
-2, 1/4
Let p(r) be the first derivative of -2*r**5/45 - r**4/18 + 2*r**3/9 + r**2/9 - 4*r/9 + 2. Suppose p(g) = 0. What is g?
-2, -1, 1
Let q(m) be the second derivative of m**4/3 - 4*m**3/3 + 2*m**2 + 2*m. Factor q(u).
4*(u - 1)**2
Suppose -3*b - 9 = j, 5*j - 6*b + 3*b - 9 = 0. Let -1/7*k + j + 1/7*k**2 = 0. Calculate k.
0, 1
Factor -4*k**2 + 8*k + 134*k**3 + 0*k**2 - 138*k**3.
-4*k*(k - 1)*(k + 2)
Let o be ((-4)/7)/(162/(-252)). Let x = 130 + -382/3. Factor 10/9*c**2 - x*c + o.
2*(c - 2)*(5*c - 2)/9
Factor 20*u**4 - 12*u**3 + 8*u + 4*u**3 - 24*u**2 + 4*u**2.
4*u*(u - 1)*(u + 1)*(5*u - 2)
Let t(m) be the third derivative of m**8/896 + 3*m**7/560 + m**6/160 - m**5/80 - 3*m**4/64 - m**3/16 + 21*m**2. Factor t(v).
3*(v - 1)*(v + 1)**4/8
Let v(g) be the second derivative of -g**7/21 - 19*g**6/105 - 3*g**5/14 - g**4/42 + 2*g**3/21 - 3*g. Factor v(x).
-2*x*(x + 1)**3*(7*x - 2)/7
Let t(o) be the third derivative of o**2 + 0*o**3 + 0*o + 1/20*o**5 + 0 - 1/8*o**4. Determine n, given that t(n) = 0.
0, 1
Factor -4/7 + 2/7*r**2 + 2/7*r**4 + 6/7*r**3 - 6/7*r.
2*(r - 1)*(r + 1)**2*(r + 2)/7
Factor 3*n + 5*n**3 + 0*n - 2*n**2 - 5*n**2 - n**4.
-n*(n - 3)*(n - 1)**2
Let g(q) be the third derivative of -q**8/280 + q**7/75 + q**6/300 - 7*q**5/150 + q**4/30 - q**2. What is b in g(b) = 0?
-1, 0, 1/3, 1, 2
Let n = -353 - -356. Factor 0*x - 2/7*x**n - 8/7 + 6/7*x**2.
-2*(x - 2)**2*(x + 1)/7
Suppose -5*j = -j + 4. Let d be 0 + j - 66/(-18). Find q, given that 1/3*q**3 + 2/3*q**2 - d*q**4 + 5/3*q**5 + 0 + 0*q = 0.
-2/5, 0, 1
Let q(m) be the first derivative of 3 + 4/9*m**2 - 8/9*m - 2/27*m**3. Determine h so that q(h) = 0.
2
Let t(r) be the third derivative of r**7/1680 - r**6/240 + r**5/80 - r**4/4 - 7*r**2. Let y(z) be the second derivative of t(z). Factor y(k).
3*(k - 1)**2/2
Let k(r) be the third derivative of -r**7/2940 + r**6/1260 - 2*r**3/3 + 4*r**2. Let j(w) be the first derivative of k(w). Factor j(o).
-2*o**2*(o - 1)/7
Determine w, given that 4*w - w**2 - w - 6 + 4 = 0.
1, 2
Let n(i) = -12*i**4 - 4*i**3 + 48*i**2 - 5*i + 7. Let l(r) = -8*r**4 - 3*r**3 + 32*r**2 - 3*r + 5. Let d(p) = -7*l(p) + 5*n(p). Factor d(k).
-k*(k - 2)*(k + 2)*(4*k - 1)
Let l(a) be the second derivative of 0 + 1/5*a**5 + 0*a**4 - a**2 - 4*a + 1/15*a**6 - 2/3*a**3. Factor l(i).
2*(i - 1)*(i + 1)**3
Let z(v) be the third derivative of -v**7/98 + 17*v**6/280 - 4*v**5/35 + v**4/14 - 7*v**2. Find h, given that z(h) = 0.
0, 2/5, 1, 2
Let w(g) = -2*g**2 + 4*g. Let a(c) = -5*c**2 + 11*c. Let q(l) = -l - 16. Let z be q(0). Let b be 0 + z/(4/(-2)). Let h(o) = b*w(o) - 3*a(o). Factor h(p).
-p*(p + 1)
Let l(f) be the third derivative of f**9/25200 + f**8/2800 + f**7/840 + f**6/600 + f**4/8 - 2*f**2. Let b(t) be the second derivative of l(t). Factor b(a).
3*a*(a + 1)**2*(a + 2)/5
Let s(t) be the second derivative of -t**7/252 + t**5/60 - t**3/36 + 11*t. Factor s(l).
-l*(l - 1)**2*(l + 1)**2/6
Let o(t) = -t**3 + 5*t**2 - 3*t - 4. Let a be o(4). Let x = a + 3. Determine p, given that -3*p**4 + 5*p**2 - 4*p**2 - x*p**3 - p**2 = 0.
-1, 0
Let g(t) be the second derivative of -t*