**3 + w - 1/2*w**2 + 1/6*w**4 - 1/10*w**5. Factor z(o).
(o - 1)**3*(o + 1)**2
Factor -3/7*f - 6/7 + 3/7*f**2.
3*(f - 2)*(f + 1)/7
Suppose 2 + 8 = 5*g. Factor 0*y + y - 3*y**3 + g*y.
-3*y*(y - 1)*(y + 1)
Let g(n) be the third derivative of -n**8/1512 + 4*n**7/945 - n**6/135 + 2*n**2. Find j such that g(j) = 0.
0, 2
Factor 3/7*p**2 + 6/7*p + 0.
3*p*(p + 2)/7
Suppose -5*w = -8 - 12. Determine p so that -3*p**w + 13 - 13 - 24*p**2 + 15*p**3 + 12*p = 0.
0, 1, 2
Suppose -3*d + 3 = -0*d. Let g be d/(1/(-6))*-2. Factor -3*n**2 - 24*n**4 - g*n**3 + n**2 + 6*n**4.
-2*n**2*(3*n + 1)**2
Let c be (-7 + (-16)/(-2))/(8/102). Suppose 15/2*z**5 - 3/2 + 3/4*z**2 + 21/4*z - c*z**3 + 3/4*z**4 = 0. Calculate z.
-1, 2/5, 1/2, 1
Let o(b) = -3*b - 1 - 1 + 2*b. Let g be o(-4). Find j, given that -7*j**2 + 2*j - 5*j**3 + 4*j**g + 0*j = 0.
-1, 0, 2/5
Factor 1/3*d**3 + 0 + 2/3*d + d**2.
d*(d + 1)*(d + 2)/3
Let l(j) be the third derivative of j**9/6048 + j**8/1680 + j**7/1680 + j**3 + j**2. Let i(r) be the first derivative of l(r). Factor i(f).
f**3*(f + 1)**2/2
Suppose 0 = -5*f + 6 - 1. Factor 3*n**4 - 2*n**2 + n**5 - f + 3*n**5 + 2*n**3 + 2*n - 5*n - 3*n**5.
(n - 1)*(n + 1)**4
Suppose 3*r**3 - 18*r + 6*r**2 - r**2 + 19*r - 9*r**4 = 0. Calculate r.
-1/3, 0, 1
Let o(v) be the second derivative of -v**6/135 + 2*v**5/45 - v**4/18 - 4*v**3/27 + 4*v**2/9 - 4*v. Let o(f) = 0. What is f?
-1, 1, 2
Let s(a) = -2*a**3 + 4*a**2 + 6*a + 2. Let i(p) = -2*p**3 + 4*p**2 + 6*p + 3. Let f(c) = 2*i(c) - 3*s(c). Solve f(o) = 0 for o.
-1, 0, 3
Let o(c) = -5*c**5 + 61*c**4 - 96*c**3 + 27*c**2 + 37*c. Let k(m) = m**5 + m**4 - m**2 + m. Let f(t) = 10*k(t) - 2*o(t). Factor f(i).
4*i*(i - 2)**3*(5*i + 2)
Let l(g) be the third derivative of -g**6/180 - g**5/90 + g**4/36 + g**3/9 - 14*g**2. Find b such that l(b) = 0.
-1, 1
Let l(i) = -21*i**3 + 26*i**2 + 6*i. Let q(x) = -7*x**3 + 9*x**2 + 2*x. Let w = -10 + 21. Let d(z) = w*q(z) - 4*l(z). Factor d(p).
p*(p - 1)*(7*p + 2)
Let w(m) = 48*m**4 - 32*m**3 - 8*m**2 + 4*m. Let u(y) = -49*y**4 + 31*y**3 + 8*y**2 - 5*y. Let s(n) = -4*u(n) - 5*w(n). Let s(b) = 0. Calculate b.
-2/11, 0, 1
Suppose 2*o - 5*k + 10 = 0, 0 = 6*o - o - 4*k + 25. Let b = -2 - o. Factor -3*f - 4*f**5 + 4*f**b + f + 2*f**5.
-2*f*(f - 1)**2*(f + 1)**2
Let t(p) be the third derivative of -p**5/20 + p**3/2 + 10*p**2 + p. Factor t(s).
-3*(s - 1)*(s + 1)
Let b(z) be the first derivative of -1/16*z**4 - 1/6*z**3 + 21/20*z**5 - 4 + 0*z**2 + 0*z. Factor b(v).
v**2*(3*v - 1)*(7*v + 2)/4
Let j = 56 - 34. Let v be 70/j + 12 + -15. Find y such that v*y - 2/11*y**3 + 2/11*y**2 - 2/11*y**4 + 0 = 0.
-1, 0, 1
Factor 0 + 0*z**2 + 4/11*z**4 - 2/11*z**3 + 0*z - 2/11*z**5.
-2*z**3*(z - 1)**2/11
Let k(s) be the second derivative of 0*s**2 - 9/100*s**5 + 2*s - 2/75*s**6 - 1/10*s**4 + 0 - 1/30*s**3. Determine r, given that k(r) = 0.
-1, -1/4, 0
Let x(s) = s**5 - 5*s**4 + 2*s**3 + 2*s**2. Let a(m) = 3*m**5 - 11*m**4 + 5*m**3 + 3*m**2. Let k(v) = 2*a(v) - 5*x(v). Factor k(w).
w**2*(w - 1)*(w + 2)**2
Factor 8/9*v**2 + 10/9*v + 2/9*v**3 + 4/9.
2*(v + 1)**2*(v + 2)/9
Let k(l) be the second derivative of -l**5/50 + l**4/15 + 4*l**3/15 - 8*l**2/5 + 30*l. Solve k(v) = 0 for v.
-2, 2
Let t = 2/2659 - -2239/558390. Let d(o) be the third derivative of 0*o**3 + 0*o**5 + 0*o**4 + 2*o**2 + t*o**7 + 0*o + 0 - 1/120*o**6. Factor d(r).
r**3*(r - 1)
Let i(m) be the third derivative of m**6/40 + 3*m**5/20 + m**4/4 - 6*m**2. Factor i(p).
3*p*(p + 1)*(p + 2)
Let h(i) be the first derivative of -2 - 40*i**3 + 384/5*i**5 + 8*i**4 - 21*i**2 - 4*i. Factor h(n).
2*(3*n - 2)*(4*n + 1)**3
Suppose -3*d**3 - 3*d**2 + 17*d - 20*d + 9*d**2 = 0. Calculate d.
0, 1
Let d(z) be the second derivative of 0*z**2 + 0 + 1/54*z**4 + 1/27*z**3 - 3*z - 1/30*z**5 + 2/189*z**7 - 1/135*z**6. What is a in d(a) = 0?
-1, -1/2, 0, 1
Let f be (-4)/14 - (-272)/119. Let q be 57/36 + 2/(-8). Factor q*k**f + 3*k + 2/3.
(k + 2)*(4*k + 1)/3
Let l(w) = w**2 + 4*w - 1. Suppose 4*z = 4*o + 20, 2*o + 5 = o + 4*z. Let y be l(o). Determine k so that 2/9 + 2/3*k - 2/3*k**3 - 4/9*k**y + 2/9*k**2 = 0.
-1, -1/2, 1
Let m(n) = -11*n**2 - 7*n - 9. Let v(c) = 5*c**2 + 3*c + 4. Let h(j) = 4*m(j) + 9*v(j). Factor h(t).
t*(t - 1)
Let u(v) be the third derivative of 0 + 0*v**5 + 1/120*v**6 - 1/336*v**8 + 4*v**2 + 0*v**7 + 0*v**4 + 0*v + 0*v**3. What is p in u(p) = 0?
-1, 0, 1
Let r be (-3)/(-6) + 13/2. Let z be r/3 + 4/(-12). Factor 1 + 22*x - 24*x**2 - 5 + 7*x**z - x**2.
-2*(x - 1)*(9*x - 2)
Let g(k) be the first derivative of -k**7/490 - k**6/280 + k**5/140 + k**4/56 - 3*k**2 + 2. Let w(i) be the second derivative of g(i). Factor w(t).
-3*t*(t - 1)*(t + 1)**2/7
Let q = 55/3 + -151/9. Let -2/9*w**3 - 2/3*w**4 + q*w**2 - 8/9 + 2/9*w**5 + 0*w = 0. Calculate w.
-1, 1, 2
Suppose -w = 5*c - 6*w, -2*w + 4 = 0. Find x such that 2*x - 4*x**c - 4*x**3 + 0 + 0 + 6*x**3 = 0.
0, 1
Let i(f) be the first derivative of 5*f**4/4 - 65*f**3/3 - 5*f**2/2 + 65*f + 10. Find z, given that i(z) = 0.
-1, 1, 13
Factor 7/3*p**4 + 0 + 13/3*p**2 - 1/3*p**5 - 4/3*p - 5*p**3.
-p*(p - 4)*(p - 1)**3/3
Let c(r) = -4*r**4 - 3*r**3 + 3. Let g(a) = -a**5 + 5*a**4 + 4*a**3 - 4. Let x(n) = -4*c(n) - 3*g(n). Factor x(z).
z**4*(3*z + 1)
Let x(f) be the third derivative of f**8/56 + 5*f**7/63 + 7*f**6/60 + f**5/30 - f**4/18 + 22*f**2. Determine y, given that x(y) = 0.
-1, 0, 2/9
Let d(y) be the third derivative of y**6/1200 - y**5/300 - 44*y**2. Determine p, given that d(p) = 0.
0, 2
Suppose -4*n + 10 = -6. Let -2*x**n + 2*x**3 - 3*x - 2*x**2 + 4*x**2 + x + 0*x = 0. What is x?
-1, 0, 1
Let c(d) be the first derivative of -2*d**3/45 + 7. Factor c(w).
-2*w**2/15
Let x = -83 + 83. Let d(i) be the first derivative of 2 + i + x*i**2 - 1/3*i**3. Factor d(f).
-(f - 1)*(f + 1)
Let s(m) = 3*m**4 - 77*m**3 + 143*m**2 - 83*m. Let u(j) = -2*j**4 + 38*j**3 - 72*j**2 + 42*j. Let d(k) = -3*s(k) - 7*u(k). Factor d(o).
5*o*(o - 3)**2*(o - 1)
Let l(s) be the first derivative of -10/27*s**3 + 1 - 1/3*s**2 + 2*s - 1/18*s**4. Factor l(r).
-2*(r - 1)*(r + 3)**2/9
Let d = 470 - 467. Solve -3/4*u**2 + 0 - 7/4*u**d + 1/2*u + 3/4*u**4 + 5/4*u**5 = 0.
-1, 0, 2/5, 1
Suppose -2/5*w**2 + 0 - 2/5*w = 0. What is w?
-1, 0
Let j(r) be the third derivative of r**9/15120 - r**8/6720 - r**7/1260 + 7*r**4/24 + 5*r**2. Let p(v) be the second derivative of j(v). Factor p(x).
x**2*(x - 2)*(x + 1)
Let n = -6 - -9. Let o(p) = n*p**4 - p**3 - 6*p**4 + 4*p**4 + p**2. Let t(f) = -8*f**4 + 6*f**3 - 4*f**2. Let a(j) = -6*o(j) - t(j). Factor a(x).
2*x**2*(x - 1)*(x + 1)
Suppose -5*c = -16 - 9. Solve 8/7*v**2 + 0*v**3 - 8/7*v**4 + 4/7*v + 0 - 4/7*v**c = 0 for v.
-1, 0, 1
Let n(p) be the second derivative of -p**4/15 + 2*p**3/15 - p. Find v such that n(v) = 0.
0, 1
Let u be (-2640)/(-28) - 4 - 1. Let p = u + -89. Factor p*m - 2/7*m**2 + 2/7 - 2/7*m**3.
-2*(m - 1)*(m + 1)**2/7
Let p(w) = w**3. Let i(u) = u**3 + 6*u**2 - 8. Let n(x) = -i(x) - p(x). Factor n(y).
-2*(y - 1)*(y + 2)**2
Let z be 4/(-10) - (-5)/((-150)/(-32)). Factor -z*u**3 + 2*u**2 + 0 - 4/3*u.
-2*u*(u - 2)*(u - 1)/3
Let j = -56/17 - -202/51. Find b such that -j - 4/3*b - 2/3*b**2 = 0.
-1
Let d be 6/8*24/(-42). Let r = 5/21 - d. Solve 0 + 0*h - 2/3*h**4 + 7/3*h**5 - 7/3*h**3 + r*h**2 = 0 for h.
-1, 0, 2/7, 1
Let q be (-36)/(-112)*(-56)/(-42). Factor -q*d**3 - 24/7*d - 15/7*d**2 - 12/7.
-3*(d + 1)*(d + 2)**2/7
Let s(v) be the second derivative of -v**4/120 - 2*v**3/15 - 7*v**2/20 - 16*v. Factor s(a).
-(a + 1)*(a + 7)/10
Let t(g) be the second derivative of 1/6*g**4 + g**2 - 1/30*g**5 + 2*g - 1/3*g**3 + 0. Let d(w) be the first derivative of t(w). Factor d(r).
-2*(r - 1)**2
Let d(w) be the first derivative of -w**4/12 + w**3 + 5*w**2/3 + 18. Factor d(n).
-n*(n - 10)*(n + 1)/3
Let d(p) = -p + 1. Let w(s) = -3*s**2 - 4*s + 4. Let a(q) = -4*d(q) + w(q). Factor a(k).
-3*k**2
Let s(j) be the first derivative of 2*j**5/25 + j**4/10 - 2*j**3/15 - j**2/5 + 5. Factor s(h).
2*h*(h - 1)*(h + 1)**2/5
Suppose -13 = -3*z - 1. Factor 2 + 9*o + 6*o**2 - 2*o**z - o**3 + o - o**3 + 2.
-2*(o - 2)*(o + 1)**3
Suppose 5/2*p**3 - 3/2*p**2 + 1/2*p**5 + 0 + 1/3*p - 11/6*p**4 = 0. What is p?
0, 2/3, 1
Factor 15*r**3 + 14*r**2 - 1 + r**5 - 17*r**3 - 12*r**2 - r**4 + r.
(r - 1)**3*(r + 1)**2
Suppose 0 = -25*r + 27*r. Solve r - 2/11*a