o**3 + 30. Find p such that z(p) = 0.
-3, -1, 0, 1
Let q(z) be the third derivative of -z**7/70 - z**6/20 - z**5/20 - 3*z**2. Suppose q(w) = 0. Calculate w.
-1, 0
Let h(d) be the second derivative of 2*d**3 - 4*d**2 - 3*d - 1/2*d**4 + 0 + 1/20*d**5. Find z, given that h(z) = 0.
2
Let s be (3/(-6))/((-2)/(-12)). Let u = s + 2. Let w(d) = d**4 + 2*d**2 + 1. Let a(b) = b**2. Let i(n) = u*w(n) + 4*a(n). Let i(k) = 0. Calculate k.
-1, 1
Factor -4/5*d + 2/5*d**2 + 0 + 2/5*d**3.
2*d*(d - 1)*(d + 2)/5
Let n(j) = -j**3 - 5*j**2 - 5*j - 4. Let u be n(-4). Let t be 2 + u*1/3. What is y in 0*y + 0 + 2/7*y**t = 0?
0
Factor 2/5*p**2 - 2*p - 12/5.
2*(p - 6)*(p + 1)/5
Let d(s) = -15*s**3 - 22*s**2 + 8*s + 8. Let t(m) = 10*m**3 + 15*m**2 - 5*m - 5. Let y(z) = -5*d(z) - 7*t(z). Factor y(j).
5*(j - 1)*(j + 1)**2
Let o(g) be the first derivative of -5*g**3/3 - 10*g**2 - 20*g - 5. Determine u so that o(u) = 0.
-2
Let s = -167/4 + 42. Let p(u) be the second derivative of -1/6*u**3 + s*u**2 + 0 + 2*u + 1/24*u**4. Factor p(j).
(j - 1)**2/2
Let h(p) be the first derivative of 1/30*p**6 + 0*p**2 + 0*p**3 - 1/12*p**4 + 2*p + 0*p**5 + 1. Let u(o) be the first derivative of h(o). Factor u(l).
l**2*(l - 1)*(l + 1)
Let p(h) be the second derivative of -4*h + 4/21*h**3 + 4/7*h**2 + 0 + 1/42*h**4. Factor p(z).
2*(z + 2)**2/7
Suppose -l + 22 = -0*l - 5*z, 10 = 5*l - 5*z. Let p = -1 - l. Suppose -4*j**2 + p*j - 2 + 2*j + 2*j**2 = 0. What is j?
1
Let a(w) be the first derivative of -2*w**5/9 - 23*w**4/18 - 50*w**3/27 - w**2/9 + 4*w/3 - 10. Let a(u) = 0. What is u?
-3, -1, 2/5
Let g(p) = p**4 + p**2. Let a(f) = 2 + 0*f**3 + 0*f**3 - 2*f**4 - 8*f**2. Let x(b) = 7*b + 10. Let m be x(-2). Let k(h) = m*g(h) - a(h). Factor k(j).
-2*(j - 1)**2*(j + 1)**2
Let j(c) be the second derivative of c**6/195 + c**5/65 + c**4/78 - 10*c. Factor j(z).
2*z**2*(z + 1)**2/13
Suppose 0 = -0*b + 4*b - 16. Factor -2*o**2 - 5*o - o - 4 - 2*o - b.
-2*(o + 2)**2
Let r be -1 + (6 + 0 - 3). Determine n so that -n - 12*n**2 + 13*n**4 + 2 - 20*n**5 + 19*n**3 - 13*n**2 + 10*n**4 + r*n = 0.
-1, -1/4, 2/5, 1
Let l(g) = -4*g - 4. Let k be l(-1). Factor k - 1/3*s - s**3 - 4/3*s**2.
-s*(s + 1)*(3*s + 1)/3
Factor -2/3 + 46/3*a**2 - 44/3*a.
2*(a - 1)*(23*a + 1)/3
Let h(b) = 2*b**2 + 10*b + 17. Let f(o) = o**2 + 5*o + 9. Let g(r) = 5*f(r) - 3*h(r). Factor g(c).
-(c + 2)*(c + 3)
Let h(g) = -g**2. Let b(w) = -10*w**2. Let s(p) = -b(p) + 12*h(p). Suppose s(o) = 0. What is o?
0
Let n(j) be the first derivative of -5*j**4/2 - 5*j**3/3 + 22. Determine r so that n(r) = 0.
-1/2, 0
Let m(r) be the second derivative of r**5/5 - r**4 + 4*r**3/3 - 30*r. Factor m(z).
4*z*(z - 2)*(z - 1)
Factor -3*k - 6*k**2 - 3/5 - 3/5*k**5 - 3*k**4 - 6*k**3.
-3*(k + 1)**5/5
Let h(g) be the second derivative of g**5/60 - g**4/6 + 2*g**3/3 + g**2 + g. Let i(o) be the first derivative of h(o). What is c in i(c) = 0?
2
Let d = 1 + 2. Factor 5*j**4 + 4*j**4 - 3*j**4 + 2*j**d - 4*j**4.
2*j**3*(j + 1)
Suppose d - 2 = -3. Let g = 5 + d. Factor 2/5*k**2 + 0*k**3 + 0 + 0*k - 2/5*k**g.
-2*k**2*(k - 1)*(k + 1)/5
Let q(u) be the second derivative of u**5/10 - 3*u**4/8 + u**3/2 - 7*u**2/2 - 4*u. Let n(x) be the first derivative of q(x). Find d such that n(d) = 0.
1/2, 1
Solve -1/5*c**2 + 0 - 1/5*c**5 - 2/5*c + 3/5*c**3 + 1/5*c**4 = 0.
-1, 0, 1, 2
Let s(i) = 2*i**3 - 8*i**2 + 6*i - 2. Let j be (8/14)/((-2)/7). Let h be (-3)/(-3)*(0 - 1). Let n(k) = k**2. Let o(p) = h*s(p) + j*n(p). Factor o(x).
-2*(x - 1)**3
Let x be (2/(-3))/((-2)/(-51)). Let n = x - -20. Factor 1/4*t**4 - 1/4*t + 0 + 3/4*t**2 - 3/4*t**n.
t*(t - 1)**3/4
Let x(q) = -36*q**3 + 26*q**2 + 10*q + 11. Let n(m) = -7*m**3 + 5*m**2 + 2*m + 2. Suppose 0 = i - 3*a - 1, a + 3 = -1. Let t(j) = i*n(j) + 2*x(j). Factor t(g).
g*(g - 1)*(5*g + 2)
Let m = -21 + 33. Factor 8*u**4 + 4*u**3 + 5*u**3 - m*u**3 + 7*u**3 + 4*u**5.
4*u**3*(u + 1)**2
Solve -3*v**3 - 4*v**4 + 8*v**4 - 3*v**2 - v**4 + 3*v = 0.
-1, 0, 1
Let g(j) be the second derivative of j**10/75600 - j**9/12600 + j**8/8400 - j**4/3 + 2*j. Let q(u) be the third derivative of g(u). Factor q(k).
2*k**3*(k - 2)*(k - 1)/5
Let m(u) be the third derivative of -3*u**7/70 - 23*u**6/120 - 8*u**5/45 - u**4/18 - 23*u**2. Suppose m(v) = 0. Calculate v.
-2, -1/3, -2/9, 0
Let j be 3*(1 - 2) - -3. Suppose -2*x - 5 + j*x - 2*x**2 - 2*x + 3 = 0. Calculate x.
-1
Suppose 0 = 5*t - 10*t. Suppose -4*v - v + 10 = t. Factor 1/6*l**4 + 0 + 1/2*l**v - 1/2*l**3 - 1/6*l.
l*(l - 1)**3/6
Let n(x) be the first derivative of -5*x**3/3 + 10*x**2 + 25*x - 24. Solve n(c) = 0 for c.
-1, 5
Suppose 5*y + 2*l + 276 = 3*l, y - 2*l = -57. Let j = y + 221/4. Let i + 1 + j*i**2 = 0. Calculate i.
-2
Suppose 0*m - 3*m = 0. Suppose m = -t - 2*t + 9. Find f, given that 3*f - 4*f - 5 + f**2 + t = 0.
-1, 2
Let m(v) be the third derivative of v**7/10080 - v**6/2880 + v**4/4 - 2*v**2. Let r(g) be the second derivative of m(g). What is t in r(t) = 0?
0, 1
Let b(k) be the third derivative of -k**2 + 1/24*k**4 - 1/120*k**6 + 0*k + 0*k**3 + 0*k**5 + 0. Factor b(m).
-m*(m - 1)*(m + 1)
Factor -8/11 + 2/11*r**3 - 10/11*r**2 + 16/11*r.
2*(r - 2)**2*(r - 1)/11
Let n(s) = -s**2 + 7*s - 5. Let v(j) = -j**2 + 3*j - 3. Let d(q) = -6*n(q) + 10*v(q). Find c such that d(c) = 0.
-3, 0
Factor -26*i**2 + 17*i**2 - 4*i**4 - 20*i**3 - 23*i**2 - 16*i.
-4*i*(i + 1)*(i + 2)**2
Let g(o) be the first derivative of -2 - 1/12*o**6 - 1/10*o**5 + 0*o**4 + 0*o**2 + 0*o**3 + 0*o. Factor g(l).
-l**4*(l + 1)/2
Let u(k) be the first derivative of 3*k**6/5 + 84*k**5/25 + 23*k**4/10 - 28*k**3/45 - 8*k**2/15 + 16. Suppose u(w) = 0. What is w?
-4, -2/3, -1/3, 0, 1/3
Factor 8/3*t + 0 - 2/3*t**4 - 16/3*t**2 + 10/3*t**3.
-2*t*(t - 2)**2*(t - 1)/3
Let y(l) be the first derivative of l**5/20 - l**4/8 + 4. Factor y(o).
o**3*(o - 2)/4
Suppose -3*y - 2*y = -10. Factor -3*j - j**2 + 2*j**2 - j**y + 3*j**3.
3*j*(j - 1)*(j + 1)
Let m(l) be the third derivative of 0 + 2*l**2 + 5/72*l**6 + 1/6*l**5 - 1/3*l**3 + 1/6*l**4 + 0*l. Let g(q) be the first derivative of m(q). Factor g(p).
(5*p + 2)**2
Suppose 0*w = 5*w. Let h(r) be the second derivative of 0*r**2 + 1/6*r**4 + 0 - 3*r - 1/15*r**6 + w*r**3 - 3/20*r**5. Factor h(d).
-d**2*(d + 2)*(2*d - 1)
Suppose 5*k - 15 = -0*k. Factor k*l**3 - 3*l + l - 6*l**5 + 4*l**5 + l**3.
-2*l*(l - 1)**2*(l + 1)**2
Let p(k) = 55*k**5 - 176*k**4 + 71*k**3 + 32*k**2. Let f(n) = 14*n**5 - 44*n**4 + 18*n**3 + 8*n**2. Let m(t) = 9*f(t) - 2*p(t). Find w such that m(w) = 0.
-1/4, 0, 1, 2
Let b(x) = 38*x**3 + 16*x**2 + 2*x. Let j(u) = -13*u**3 - 5*u**2 - u. Let t(s) = -3*b(s) - 8*j(s). Solve t(l) = 0.
-1, 0, 1/5
What is b in 45*b - b**3 - 45*b = 0?
0
Let x(p) be the first derivative of -p**4/12 - p**3/3 - 2*p - 1. Let z(o) be the first derivative of x(o). Factor z(k).
-k*(k + 2)
Let l(h) be the third derivative of -h**7/105 + h**6/60 + h**5/10 - 5*h**4/12 + 2*h**3/3 + 3*h**2. Suppose l(k) = 0. Calculate k.
-2, 1
Let z(s) be the third derivative of s**5/180 + 2*s**4/9 + 32*s**3/9 - 31*s**2. Solve z(a) = 0.
-8
Let d(i) be the first derivative of -3 - 1/5*i**3 - 12/5*i - 6/5*i**2. Factor d(v).
-3*(v + 2)**2/5
Factor 14*s**2 + 7*s**2 - 27*s**3 - 33*s**5 + 30*s**5 + 15*s**4 - 6*s.
-3*s*(s - 2)*(s - 1)**3
Let x be 4/6 - (-204)/153. Factor 8/5*i - 16/5 - 1/5*i**x.
-(i - 4)**2/5
Let h(b) = -b + 12. Let y be h(16). Let n be (-24)/(-540) - y/10. Suppose 2/9*w**3 + 0 + n*w**2 - 2/9*w - 4/9*w**4 = 0. What is w?
-1, 0, 1/2, 1
Factor -1/2*v**2 + 15*v - 225/2.
-(v - 15)**2/2
Suppose 0 = -3*j + 3*s + 29 + 64, j = 4*s + 34. Let i = j - 26. Factor 2/11*t - 2/11*t**3 - 2/11*t**2 + 2/11*t**i + 0.
2*t*(t - 1)**2*(t + 1)/11
Let l(s) = 8*s**2 - 8*s + 6. Let z(q) = q**2. Let k(v) = -l(v) + 6*z(v). Solve k(g) = 0.
1, 3
Let f(k) be the second derivative of 2*k - 1/10*k**2 + 1/15*k**3 + 0 - 1/60*k**4. Factor f(x).
-(x - 1)**2/5
Suppose -j = 3*r - 18, -10 = 4*r - 4*j - 34. Suppose -2 = 4*i - 4*d - r, 5*d = 3*i - 5. Factor i*k**2 + k**3 - 20*k - 8*k**3 + 26*k**2 - 8.
-(k - 2)**2*(7*k + 2)
Let b(i) be the first derivative of 14*i**5/85 - 19*i**4/34 + 10*i**3/17 - i**2/17 - 4*i/17 - 9. Factor b(n).
2*(n - 1)**3*(7*n + 2)/17
Let t(o) be the second derivative of o**6/75 + 6*o**5/25 + 9*o**4/5 + 36*o**3/5 + 81*o**2/5 - 8*o. Factor t(u).
2*(u + 3)**4/5
Let y be 