ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x).
x**2*(x - 2)**2*(x + 1)/3
Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0.
0, 1
Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2.
3*y**2*(y + 1)**3/5
Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a).
3*a*(a + 1)
Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u.
-2, -1
Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v.
1/4, 2
Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p).
2*p**3*(p + 1)/9
Solve -109*y + 59*y + y**2 + 54*y = 0.
-4, 0
Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s).
(s - 1)**2*(s + 1)**3/2
Factor 15*q - 3*q - 5*q**2 + q**2.
-4*q*(q - 3)
Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c).
-(c - 1)**5/3
Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l).
2*l*(l - 1)*(l + 2)/11
Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3.
3*t*(t - 1)*(t + 1)*(t + 2)
Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f.
3
Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x).
(x - 2)*(x + 1)
Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t).
-2*t**2/5
Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0.
0, 1
Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y).
-3*y*(y - 4)**2/5
Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q.
-1, 1
Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x).
-2*x*(x - 1)*(x + 1)
Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0?
1, 2
Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0.
-1, -1/2
Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0.
1
Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4.
z**2*(z - 1)*(4*z - 1)
Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v.
-2*(c + 1)**2*(c + 2)
Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u).
4*(u - 1)*(u + 1)*(u + 5)
Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0.
-1, 1
Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4.
-2*(t - 1)*(t + 1)**3
Factor 5*i + 0 - 5/2*i**2.
-5*i*(i - 2)/2
Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3.
3*f*(f - 1)*(f + 1)**2
Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r).
(r + 1)*(3*r - 1)/3
Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i.
-1, 0, 1
Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u.
2*u**2*(u - 1)**2/9
Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o?
0, 1
Let k(p) be the third derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 5*p**2. Find t, given that k(t) = 0.
-1, 1
Let i(x) = -2*x**5 - 2*x**4 - 22*x**3 - 22*x**2 - 6. Let p(q) = q**5 + 3*q**4 + 23*q**3 + 21*q**2 + 5. Let c(t) = 5*i(t) + 6*p(t). Find m, given that c(m) = 0.
-1, 0, 4
Let f(t) be the third derivative of t**2 - 1/120*t**5 - 1/720*t**6 - 1/3*t**3 - 1/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i).
-(i + 1)**2/2
Suppose -78 = -12*m - m. Factor -m*u**3 + 9/2*u + 3/2 + 0*u**2.
-3*(u - 1)*(2*u + 1)**2/2
Let i(f) = f**4 - f**3 - f**2 - f - 1. Let k(r) = 3*r**5 + 3*r + 3. Let x(z) = 3*i(z) + k(z). Factor x(d).
3*d**2*(d - 1)*(d + 1)**2
Suppose -106*z + 35*z + 213 = 0. What is i in 2/5*i + 8/5 + 6/5*i**4 - 14/5*i**2 - 2/5*i**z = 0?
-1, 1, 4/3
Let l = 11 - 9. Let g(b) be the second derivative of -l*b + 0*b**2 + 1/30*b**4 - 1/50*b**5 + 0*b**3 + 0. Factor g(r).
-2*r**2*(r - 1)/5
Let f(m) be the first derivative of -m**6/1980 - m**5/330 - m**4/132 - 5*m**3/3 - 5. Let i(l) be the third derivative of f(l). Factor i(t).
-2*(t + 1)**2/11
Let q(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 - 2*p - 3. Let a(l) be the first derivative of q(l). Suppose a(r) = 0. What is r?
1, 2
Let r = -189 + 191. Determine f, given that 9/2 - 6*f + 3/2*f**r = 0.
1, 3
Let j(k) be the third derivative of k**6/480 + 7*k**5/240 + k**4/12 - 2*k**3/3 - 59*k**2. Factor j(g).
(g - 1)*(g + 4)**2/4
Let c(d) be the second derivative of -1/15*d**4 + 0 - 1/15*d**3 + 0*d**2 - 1/50*d**5 + 3*d. Factor c(b).
-2*b*(b + 1)**2/5
Let v(l) = -l**2 + 2*l + 1. Let u(t) = -t**2 + 3*t + 1. Let a(j) = 2*u(j) - 3*v(j). Solve a(r) = 0.
-1, 1
Let c be (1/3)/((-3)/(-36)). Let a(m) = c*m - 3 - 4*m**3 - 2*m**2 + 7 + 1 + 6*m**2. Let u(o) = -o**3 + 1. Let w(z) = -a(z) + 5*u(z). What is h in w(h) = 0?
-2, 0
Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0.
-3*q*(q - 1)**2*(q + 1)
Suppose 34*r - 12 = 30*r. Determine u, given that 2*u + 1/2*u**r + 2*u**2 + 0 = 0.
-2, 0
Let t(j) = -j**3 - 6*j**2 - j - 3. Let h be t(-6). What is r in 1/3*r**2 + 0 - 1/3*r**5 - r**h + r**4 + 0*r = 0?
0, 1
Let y = -788 + 790. Factor 0 + 0*j + 0*j**y + 2/5*j**3 - 1/5*j**4.
-j**3*(j - 2)/5
Let r(k) = 2*k**3 + 4*k**2 - 2*k - 4. Let b be r(-2). Find m, given that 2/7*m + 0 - 4/7*m**2 + 4/7*m**4 + b*m**3 - 2/7*m**5 = 0.
-1, 0, 1
Suppose 5*m + 3*i - 143 + 56 = 0, -1 = m - 4*i. Suppose -m = -9*l + 4*l. Suppose -1/4*j**4 + 0 - 1/2*j**l - 1/4*j**2 + 0*j = 0. Calculate j.
-1, 0
Let v(l) = -12*l**3 + 2*l - 10. Let a(u) = 6*u**3 + 1. Let s(z) = -z**3. Let p(m) = a(m) + 5*s(m). Let j(r) = 10*p(r) + v(r). What is d in j(d) = 0?
-1, 0, 1
Factor -5 - 7*i + 4*i**2 + 16*i - 7*i**2 - 1.
-3*(i - 2)*(i - 1)
Let j(z) be the first derivative of 2*z**6/27 - 2*z**5/15 + z**4/18 + 9. Factor j(y).
2*y**3*(y - 1)*(2*y - 1)/9
Let i(v) be the third derivative of -1/3*v**3 + 1/60*v**5 - 1/24*v**4 + 0*v - 4*v**2 + 0. Factor i(n).
(n - 2)*(n + 1)
Let d(w) be the first derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/3 - 4. Let l(g) be the third derivative of d(g). Suppose l(a) = 0. What is a?
1
Let h(n) be the third derivative of -n**9/37800 + n**8/8400 - n**7/6300 + n**4/6 + 3*n**2. Let c(i) be the second derivative of h(i). Factor c(l).
-2*l**2*(l - 1)**2/5
Let j(g) be the second derivative of -1/3*g**3 + 0 + 0*g**2 + 1/5*g**5 + 1/6*g**4 - g. Factor j(h).
2*h*(h + 1)*(2*h - 1)
Suppose 4*g - 2*g + 4 = 0. Let b be (10/(-4))/(g - 0). Suppose 0 - 3/4*p**4 - 1/4*p + b*p**3 - p**5 + 3/4*p**2 = 0. Calculate p.
-1, 0, 1/4, 1
Let h(x) be the first derivative of 3*x**4/20 - x**3 + 9*x**2/10 + 27*x/5 - 12. Factor h(g).
3*(g - 3)**2*(g + 1)/5
Factor 9/4*n - 1 - 3/2*n**2 + 1/4*n**3.
(n - 4)*(n - 1)**2/4
Let h(g) be the first derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2 - 2. Let m(o) be the second derivative of h(o). Factor m(l).
-4*l**3*(l + 1)**2
Factor 0 + 1/4*v**3 - 1/2*v - 1/4*v**2.
v*(v - 2)*(v + 1)/4
Let v(o) be the third derivative of -o**7/210 - 6*o**2. Factor v(p).
-p**4
Let o(k) be the second derivative of k**9/68040 + k**8/10080 + k**7/3780 + k**6/3240 - 5*k**4/12 + 6*k. Let p(c) be the third derivative of o(c). Factor p(h).
2*h*(h + 1)**3/9
Let u(n) = -n**2 - 40*n + 200. Let v(j) = 6*j**2 + 200*j - 1000. Let x(g) = 16*u(g) + 3*v(g). Factor x(i).
2*(i - 10)**2
Let t(y) = 5*y**5 + 12*y**4 - 17*y**3 - 17*y**2 + 5*y + 12. Let d(u) = -3*u**5 - 8*u**4 + 11*u**3 + 11*u**2 - 3*u - 8. Let m(z) = -7*d(z) - 5*t(z). Factor m(w).
-4*(w - 1)**2*(w + 1)**3
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