e third derivative of 0 + s**2 + 3/10*s**5 + 1/105*s**7 - 1/12*s**6 + 0*s - 7/12*s**4 + 2/3*s**3. Factor b(i).
2*(i - 2)*(i - 1)**3
Suppose -o + 0*o = b + 2, 2*o = -8. Let u(l) be the third derivative of 0*l + 1/24*l**3 + 0 + 1/240*l**5 - 1/48*l**4 + b*l**2. Factor u(r).
(r - 1)**2/4
Factor f**2 - 1/2*f**4 + 0 + 0*f - 1/2*f**3.
-f**2*(f - 1)*(f + 2)/2
Let l(d) be the third derivative of 1/6*d**3 + 0*d - 5*d**2 + 1/120*d**5 + 0 - 1/16*d**4. Let l(y) = 0. What is y?
1, 2
Let r = -13 - -11. Let z(m) = -m**5 + m**4 - 9*m**3 + m**2 + 2*m. Let v(d) = d**5 - 2*d**4 + 8*d**3 - 2*d**2 - d. Let f(a) = r*z(a) - 3*v(a). Factor f(s).
-s*(s - 1)**4
Suppose -2*y + 0*i + 5*i - 19 = 0, 2*i = -3*y + 19. Let l(z) be the first derivative of -2*z - 5/2*z**2 - 4/3*z**y - 1/4*z**4 - 3. Factor l(f).
-(f + 1)**2*(f + 2)
Let d = 115 + -113. What is a in 1/4*a - 1/4*a**d - 1/4*a**3 + 0 + 1/4*a**4 = 0?
-1, 0, 1
Let z be (-2 - -1)*(7 - 1). Let c(m) = -m**5 - 4*m**3. Let t(g) = g**5 + 5*g**3. Let b(w) = z*c(w) - 5*t(w). Let b(f) = 0. Calculate f.
-1, 0, 1
Let d = -85 + 89. Let v(j) be the second derivative of -1/24*j**d - 1/12*j**3 + 0 + 0*j**2 + 1/40*j**5 - 3*j + 1/60*j**6. Factor v(c).
c*(c - 1)*(c + 1)**2/2
Let t = 3/5 - 4/15. Let p(x) be the second derivative of 0 - 2/9*x**3 + 1/18*x**4 + t*x**2 + 2*x. Suppose p(u) = 0. What is u?
1
Let a(u) = 6*u**4 + 4*u**3 - 6*u**2 + 4*u - 4. Let v(x) = 7*x**4 + 5*x**3 - 7*x**2 + 5*x - 5. Let w(q) = 5*a(q) - 4*v(q). Factor w(k).
2*k**2*(k - 1)*(k + 1)
Let v(s) be the third derivative of 0*s - 10*s**2 - 1/35*s**5 + 0*s**3 + 1/21*s**4 + 0 + 1/210*s**6. Factor v(q).
4*q*(q - 2)*(q - 1)/7
Let b(i) be the second derivative of -3*i**7/28 - 9*i**6/10 - 3*i**5 - 46*i**4/9 - 44*i**3/9 - 8*i**2/3 - 2*i + 41. Factor b(n).
-(n + 2)**2*(3*n + 2)**3/6
Suppose 1 = -2*n + 7. Let f(j) = -2*j - 2*j**3 + 2 + j**n + j**5 + 2*j**3. Let c(m) = m**3 - m + 1. Let d(l) = 2*c(l) - f(l). Factor d(s).
-s**3*(s - 1)*(s + 1)
Let j(n) = -33*n + 1. Let h be j(-1). Let z be 2/(-6) + h/66. Solve z*y**4 + 4/11*y**3 - 4/11*y**2 - 2/11*y**5 - 2/11*y + 2/11 = 0 for y.
-1, 1
Let r(h) be the second derivative of -5*h**4/39 + 19*h**3/39 - 6*h**2/13 + 4*h. Solve r(d) = 0.
2/5, 3/2
Let z be (-11)/(-9) + (-2)/9. Suppose -5 = -3*y + z. Let 2/7*p**3 + 0*p**y + 0 + 0*p = 0. What is p?
0
Let y be (-57)/21 - 4/14. Let f(d) = -4*d**3 + d**2 - 4*d + 3. Let k(j) = -5*j**3 + 2*j**2 - 5*j + 4. Let h(p) = y*k(p) + 4*f(p). Factor h(q).
-q*(q + 1)**2
Let a(v) be the third derivative of v**7/12600 - v**6/3600 - v**5/300 + v**4/8 - 6*v**2. Let h(x) be the second derivative of a(x). Factor h(m).
(m - 2)*(m + 1)/5
Determine x so that 0 + 0*x**4 - 2/5*x**5 + 0*x + 0*x**3 + 0*x**2 = 0.
0
Let b = 9 + -4. Let s(x) = x**2 - 4*x - 3. Let u be s(b). What is f in -4*f**3 + 5 + 4*f + u*f**4 - 2 - 5 = 0?
-1, 1
Suppose -5*i - 4*d + 30 = 0, -4*d + 15 + 3 = 3*i. Suppose 0 = -3*m - 0*m + i. Factor 4*s**2 + 4*s**2 - m*s - 4*s**2 - 2*s**3.
-2*s*(s - 1)**2
Let x be (-58)/(-10) + 3/15. Factor -2*g**2 + 2 + 4*g - 8 + x.
-2*g*(g - 2)
Let b(o) = 11*o**3 + 71*o**2 + 322*o + 392. Let h(m) = 6*m**3 + 36*m**2 + 162*m + 196. Let r(y) = 4*b(y) - 7*h(y). Let r(j) = 0. What is j?
-7, -2
Let s = 1/83 - -163/249. Let s*u**3 + 0 + 4/3*u**2 + 2/3*u = 0. What is u?
-1, 0
Suppose -41 = -27*f + 67. What is x in 12/5*x**3 + 4*x**2 + 0 + 4/5*x - 36/5*x**f = 0?
-1/3, 0, 1
Let f(y) be the third derivative of y**8/560 - 3*y**7/280 + y**6/40 - y**5/40 + 5*y**3/6 + 3*y**2. Let s(d) be the first derivative of f(d). Factor s(t).
3*t*(t - 1)**3
Let 2/3*o + 1/3*o**2 + 1/3 = 0. What is o?
-1
Suppose 6 + 6 = 4*y. Suppose 4*k + 12 = -4*t, 4*t + y*k + 0 = -7. Factor -2*d - 2/5 - 8/5*d**t.
-2*(d + 1)*(4*d + 1)/5
Let u(q) be the third derivative of q**7/84 - q**6/90 - q**5/12 + q**4/6 - q**3/3 - q**2. Let g(y) be the first derivative of u(y). What is k in g(k) = 0?
-1, 2/5, 1
Let g(v) be the second derivative of v**7/1960 - v**6/1680 - v**5/140 + 5*v**4/12 - 2*v. Let s(z) be the third derivative of g(z). Factor s(f).
3*(f - 1)*(3*f + 2)/7
Let h(f) be the first derivative of 3*f**5/5 + f**4/2 - f**3 - f**2 + 3. Factor h(r).
r*(r - 1)*(r + 1)*(3*r + 2)
Suppose -2*b + 7 = 3. Factor m**2 + 3*m**2 - 4*m**b + 2*m**5 - 4*m**4 + 2*m**3.
2*m**3*(m - 1)**2
Let c(h) be the first derivative of 2*h**3/57 - 7*h**2/19 - 33. Factor c(m).
2*m*(m - 7)/19
Let w(s) be the third derivative of -1/40*s**6 - 2*s**3 + 3/20*s**5 + 0*s**4 + 0*s + 0 - 2*s**2. Factor w(f).
-3*(f - 2)**2*(f + 1)
Find f, given that 4*f**2 - 6*f**2 + 9*f**2 - 8*f + 5*f**2 = 0.
0, 2/3
Let h(o) be the second derivative of o**5/300 + o**4/60 - 5*o**2/2 - 3*o. Let v(y) be the first derivative of h(y). Find s, given that v(s) = 0.
-2, 0
Suppose 0 = -5*g - 2*y + 20, 3*y = -4*g + y + 16. Let r = 0 + 0. Factor 0 - 2/7*x**g - 2/7*x**3 + 0*x**2 + r*x.
-2*x**3*(x + 1)/7
Let c(j) be the third derivative of -1/630*j**7 - 3*j**2 + 0*j**6 + 0 + 1/180*j**5 + 0*j**3 + 0*j + 0*j**4. Find u, given that c(u) = 0.
-1, 0, 1
Suppose 3*t + t - 60 = 0. Let 33/4*g**3 - 3*g**5 - 3/2 - t*g**2 + 3*g**4 + 33/4*g = 0. Calculate g.
-2, 1/2, 1
Let n = -5 + 9. Suppose -n*y - 5 + 13 = 0. Determine w, given that -2/3*w - 2/3*w**y + 2/3*w**3 + 2/3 = 0.
-1, 1
Let w = 415 - 413. Let -1/5*v**w + 0 + 0*v = 0. Calculate v.
0
Let p(b) = b**2 + 8*b + 14. Let t be p(-2). Suppose -6/5*m + 1/5*m**t + 9/5 = 0. What is m?
3
Let f(y) be the third derivative of 3/20*y**5 + 0*y - 3/28*y**8 - 23/70*y**7 + 1/8*y**4 + 4*y**2 - 9/40*y**6 + 0*y**3 + 0. Determine j, given that f(j) = 0.
-1, -1/4, 0, 1/3
Suppose 4*n + 0 + 25 = 5*c, -4*c + 5*n + 20 = 0. Suppose -b**c + 7*b**5 - 3*b**5 - 3*b**3 = 0. Calculate b.
-1, 0, 1
Let w be 90/48 - (-2)/16. Find q such that 0*q - w + 1/2*q**3 + 3/2*q**2 = 0.
-2, 1
Let q(c) be the second derivative of 1/2*c**2 + 1/12*c**4 + 1/60*c**6 + 0*c**3 + 1/15*c**5 + 0 + 3*c. Let i(y) be the first derivative of q(y). Factor i(b).
2*b*(b + 1)**2
Let n(r) be the first derivative of r**6/8 + 21*r**5/20 + 57*r**4/16 + 25*r**3/4 + 6*r**2 + 3*r + 10. Factor n(b).
3*(b + 1)**3*(b + 2)**2/4
Let g(p) be the third derivative of p**6/720 + p**5/180 - p**4/48 + 19*p**2. Suppose g(w) = 0. What is w?
-3, 0, 1
Suppose 6*t - 2*t = -2*k + 2, k + 5 = 0. Factor -1/5*f**5 + 4/5*f**4 + 0 - f**t + 0*f + 2/5*f**2.
-f**2*(f - 2)*(f - 1)**2/5
Solve -4/7*f**2 + 4/7*f**5 + 0 + 4/7*f**4 - 4/7*f**3 + 0*f = 0.
-1, 0, 1
Let j be -1*0*4/16. Let t(y) be the third derivative of 0*y**5 + j*y - 2*y**2 + 0*y**4 + 0*y**3 + 0 + 1/540*y**6. Factor t(i).
2*i**3/9
Factor -13*v**2 - 23*v**2 - 8*v**3 + 6*v**3.
-2*v**2*(v + 18)
Let j(z) be the first derivative of -2*z**6/15 + 8*z**5/25 - z**4/5 + 28. Solve j(k) = 0 for k.
0, 1
Let i(t) be the third derivative of t**7/840 - t**5/120 - t**3/6 - 4*t**2. Let f(h) be the first derivative of i(h). Factor f(p).
p*(p - 1)*(p + 1)
Let q = -1 - -4. Find c such that 3*c**3 - 2*c - c**3 - q*c**4 + c**4 + 2*c**2 = 0.
-1, 0, 1
Let l(i) be the first derivative of -i**4/42 - 8*i**3/63 - i**2/7 + 12. Factor l(q).
-2*q*(q + 1)*(q + 3)/21
Let f(w) be the third derivative of 0*w**3 - w**2 + 11/80*w**5 + 0 + 1/40*w**7 + 0*w + 1/10*w**6 + 1/16*w**4. Solve f(k) = 0 for k.
-1, -2/7, 0
Let u be 1 + 0 + 35/7. Factor 9*q**2 - 3*q - 9*q**4 + q**3 - 4*q + 7*q**5 + 5*q - u*q**3.
q*(q - 1)**2*(q + 1)*(7*q - 2)
Let b(u) = 2*u**2 + 3*u. Let v(q) = -q**2 - q. Let w(k) = b(k) + v(k). Factor w(g).
g*(g + 2)
Let q = 6/625 + -40637/1250. Let l = -32 - q. Suppose 0 + 0*s + l*s**2 = 0. What is s?
0
Let l(c) = 2*c - 1. Let j be l(-2). Let m(f) = f**3 - f**2 + 0*f**3 + 0*f**2. Let u(b) = 6*b**3 - 6*b**2 - b + 1. Let i(v) = j*m(v) + u(v). Factor i(d).
(d - 1)**2*(d + 1)
Let n(a) = -17*a**3 - 27*a**2 - 6*a + 7. Let u(s) = 120*s**3 + 190*s**2 + 42*s - 50. Let t(b) = 44*n(b) + 6*u(b). Let t(d) = 0. What is d?
-1, 2/7
Let f(b) be the first derivative of -b**4/78 + b**3/39 - 2*b - 1. Let k(u) be the first derivative of f(u). Determine r so that k(r) = 0.
0, 1
Let m(b) = -2*b**3 - 5*b**3 + 3*b - 3 - 2*b**2 + 2*b**3 + 7*b**4. Let o(l) = -l + 1. Let a(i) = 2*m(i) + 6*o(i). Factor a(n).
2*n**2*(n - 1)*(7*n + 2)
Let j be ((-2)/6)/((200/48)/(-25)). Factor 2/3 + j*i**2 - 2*i - 2/3*i**3.
-2*(i - 1)**3/3
Let r(y) be the third derivative of -y**6/30 - y**5/15 + y**4/6 + 