 is y in k*y**3 - 2/9*y**2 + 0 + 0*y = 0?
0, 1
Let y(n) be the first derivative of -2/35*n**5 - 4/7*n**2 - 2/7*n - 4/7*n**3 - 2/7*n**4 + 1. Factor y(q).
-2*(q + 1)**4/7
Solve 0*b + 0*b**2 - 3/2*b**4 + 0*b**3 + 0 - 1/2*b**5 = 0.
-3, 0
Let j(i) be the first derivative of -2*i**5/15 + 2*i**4/3 - 10*i**3/9 + 2*i**2/3 - 21. Factor j(t).
-2*t*(t - 2)*(t - 1)**2/3
Let o(d) be the third derivative of -1/120*d**5 - 1/6*d**3 - 1/16*d**4 + 0 + 0*d - 5*d**2. Factor o(m).
-(m + 1)*(m + 2)/2
Let v(x) be the third derivative of -x**5/90 + x**4/18 + 5*x**2. Let v(z) = 0. Calculate z.
0, 2
Let p(b) = -b**3 - 5*b**2 + 5*b - 4. Let s be p(-6). Factor -s + 3*h**2 - 4*h**2 - 2*h**3 + 2*h + 3*h**2.
-2*(h - 1)**2*(h + 1)
Suppose 3*u = 2*q + 6, 0 = -4*q - 0*u + u - 2. Let r(n) be the second derivative of -n + q*n**2 + 0 - 1/9*n**4 + 0*n**3 + 1/10*n**5. Factor r(v).
2*v**2*(3*v - 2)/3
Let x(i) = -i**3 - 8*i**2 - 5*i + 7. Let c be x(-7). Let m be (-3 - c)/(-4)*-3. Factor 16/7 + 10/7*g**m - 36/7*g**2 + 24/7*g.
2*(g - 2)**2*(5*g + 2)/7
Let z(x) = -x**2 + 1. Let m(p) = 16*p**2 - 10*p - 26. Let j(u) = -2*m(u) - 36*z(u). Factor j(g).
4*(g + 1)*(g + 4)
Suppose p + 6 + 6 = 0. Let l be (-1)/(-14) + (-6)/p. Solve -2/7*z**3 + 0 + l*z**2 - 2/7*z = 0.
0, 1
Let q(f) be the third derivative of -f**6/40 + 3*f**5/4 - 75*f**4/8 + 125*f**3/2 + 24*f**2. Solve q(m) = 0 for m.
5
Let c = -1/237 - -716/1185. Find g such that 0*g - c*g**3 - 3/5*g**4 + 0 + 0*g**2 = 0.
-1, 0
Let p(k) = k**2 - 9*k + 4. Let l be p(9). Suppose -l*h - 5*c + 9 = -27, -3*c + 4 = -2*h. Factor 4/5*r**2 + 16/5*r**h - 6/5*r**5 + 0 + 0*r - 14/5*r**3.
-2*r**2*(r - 1)**2*(3*r - 2)/5
Let c(o) be the second derivative of -5*o**4/24 - 25*o**3/6 - 20*o**2 + 41*o. Determine s so that c(s) = 0.
-8, -2
Let q(v) = -36*v**4 + 28*v**3 - 3*v**2 - 11*v - 11. Let b(j) = 18*j**4 - 14*j**3 + 2*j**2 + 6*j + 6. Let a(f) = -11*b(f) - 6*q(f). Factor a(n).
2*n**2*(n - 1)*(9*n + 2)
Let f(j) be the third derivative of 0*j + 0 + 1/420*j**6 + 0*j**3 - 3*j**2 + 0*j**4 + 1/105*j**5. Factor f(b).
2*b**2*(b + 2)/7
Let o(r) be the second derivative of 3*r**5/50 + r**4/3 + r**3/15 - 6*r**2/5 - 8*r. Factor o(g).
2*(g + 1)*(g + 3)*(3*g - 2)/5
Let v(w) be the second derivative of -49*w**5/10 - 28*w**4/3 - 16*w**3/3 + 9*w. Factor v(l).
-2*l*(7*l + 4)**2
Let x(y) = -y**2 + y + 1. Let z(g) = -21*g**2 - 9. Let u(m) = m**3 - 6*m**2 + 7. Let p be u(5). Let b(c) = p*x(c) + z(c). Suppose b(n) = 0. What is n?
-3
Suppose 6 + 10 = 4*m, -20 = 4*h - 5*m. What is r in h*r + 0 + 4/3*r**3 - 2/3*r**2 = 0?
0, 1/2
Find s such that -2*s + 0*s - s**4 - 6*s**2 - s**4 - 6*s**3 = 0.
-1, 0
Let l be (-56)/(-60)*(-9)/6. Let t = -1 - l. Determine f so that 2/5 + 2/5*f**3 - t*f**2 - 2/5*f = 0.
-1, 1
Factor -9*x + 0*x**2 - 4 + 2*x**2 + 11*x.
2*(x - 1)*(x + 2)
Suppose -6 = 2*w - 4*w. Let d(l) be the first derivative of 1 + 1/10*l**2 + 0*l - 1/15*l**w. Find o, given that d(o) = 0.
0, 1
Let -6*p + 11 + 2*p**2 - 3 - 2*p = 0. Calculate p.
2
Let h be ((-51)/18 - -3)/1. Let j(q) be the first derivative of 2 - h*q**6 + 0*q**2 - 1/4*q**4 + 0*q**3 + 0*q + 2/5*q**5. Factor j(k).
-k**3*(k - 1)**2
Let b be 18/(-63) + 734/2520. Let j(a) be the third derivative of a**2 + 0*a + 1/18*a**3 - b*a**5 + 1/360*a**6 - 1/72*a**4 + 0. Factor j(w).
(w - 1)**2*(w + 1)/3
Let p = 3107041/480 + -6473. Let u(d) be the third derivative of 1/240*d**5 + 0 - 1/24*d**3 - 1/96*d**4 + 0*d - 3*d**2 + p*d**6. Solve u(j) = 0.
-1, 1
Factor 4/3*q**3 + 0*q**2 + 0*q + 1/3*q**5 + 0 + 4/3*q**4.
q**3*(q + 2)**2/3
Let s be (-8)/6*(-6)/4. Let y = s + 1. Solve 0*h**5 - h**5 - 2*h**5 + 2*h**y - 4*h**4 + 5*h**5 = 0.
0, 1
Factor 35*j**2 - 3*j**5 + 4*j - j - 29*j**2 - 6*j**4.
-3*j*(j - 1)*(j + 1)**3
Let y(n) = n**2 - 13*n + 26. Let l be y(11). Let w(c) be the first derivative of c**3 - 1/4*c**4 + 0*c**2 - 3 - l*c. Factor w(j).
-(j - 2)**2*(j + 1)
Let a(x) be the third derivative of x**6/900 + x**5/450 - x**4/180 - x**3/45 - 3*x**2. Factor a(u).
2*(u - 1)*(u + 1)**2/15
Factor -162*r**3 + 49*r - 58*r + 2 - 10 - 71*r - 234*r**2.
-2*(r + 1)*(9*r + 2)**2
Let y be ((-4)/(-6))/((-4)/(-3)). Determine g, given that 5/2*g - y - 2*g**2 = 0.
1/4, 1
Factor -6/5*v + 0 - 3/5*v**2.
-3*v*(v + 2)/5
Let h = -68 - -341/5. Let c be ((-1)/(-5))/(-1 - -2). Factor 2/5*v**2 + h*v + 0 + c*v**3.
v*(v + 1)**2/5
Let f(o) be the third derivative of -o**6/120 + o**5/30 + 7*o**4/24 + 2*o**3/3 - 10*o**2. Find d such that f(d) = 0.
-1, 4
Let z(a) = 2*a**5 - 6 + 2*a**4 + 4*a**5 + 5*a**4 - a**3 - 5*a**5 - a**2. Let p(b) = b**4 - 1. Let q(n) = 6*p(n) - z(n). Factor q(s).
-s**2*(s - 1)*(s + 1)**2
Let n(a) be the first derivative of 0*a**2 + 3*a**3 - 3/4*a**4 - 12*a - 6. Suppose n(c) = 0. Calculate c.
-1, 2
Let t(v) be the first derivative of 4*v**3 + 2*v**2 - 13. Let t(g) = 0. What is g?
-1/3, 0
Suppose 0 = t - 4*m - 10, 6*t - 2*t - 4*m = 4. Let f be t/(-8) - 28/(-16). Factor -2*i**4 + 14*i**2 + 6*i**4 - f*i - 16*i**3 - 3*i**2 + 3*i**3.
i*(i - 2)*(i - 1)*(4*i - 1)
Let p(i) be the third derivative of -8/35*i**7 + 39/20*i**5 + 17/8*i**4 + 0*i + 1/5*i**6 + i**3 - 2*i**2 + 0. Solve p(x) = 0.
-1, -1/4, 2
Let y = -110 - -112. Factor -1/4*p**5 - 1/4*p - 1/4 + 1/2*p**3 + 1/2*p**y - 1/4*p**4.
-(p - 1)**2*(p + 1)**3/4
Suppose -20*w + 26*w = 18. Let o = -10 - -15. Let -2 + o*t - 11*t - 2 + 2*t**w = 0. Calculate t.
-1, 2
Let l(g) be the first derivative of -g**4/12 + g**2/2 + 2*g/3 + 4. Suppose l(y) = 0. Calculate y.
-1, 2
Let l(k) be the second derivative of k**5/4 - k**4/12 + 2*k**3/3 - k**2 - 4*k. Let i(g) = 6*g**3 - g**2 + 4*g - 3. Let v(c) = -6*i(c) + 7*l(c). Factor v(z).
-(z - 2)*(z + 1)*(z + 2)
Let s = 2411/10 - 1203/5. Factor s*a**2 + 0 - 1/2*a.
a*(a - 1)/2
Let z = 30 + -59/2. Let b = 46 - 44. Let -2*h + b + z*h**2 = 0. Calculate h.
2
Let y(q) = q**3 + 7*q**2 - q - 7. Let v be y(-6). Find o, given that 25*o**3 - 6*o**2 - 3*o**2 - v*o**3 - 2*o = 0.
-1/2, -2/5, 0
Let s(k) be the first derivative of -2*k**5/45 + k**4/9 + 2*k**3/27 - 2*k**2/9 - 13. Find l, given that s(l) = 0.
-1, 0, 1, 2
Let b(k) = 22 + 25*k - k**2 + 31*k**2 + 5*k + 22*k**3. Let a(o) = -9*o**3 - 12*o**2 - 12*o - 9. Let w(m) = 12*a(m) + 5*b(m). What is f in w(f) = 0?
-1
Let r(b) = -4*b**2 + 13*b - 19. Let u(g) = -28*g**2 + 92*g - 132. Let k(v) = -3*v + 8. Let i be k(-4). Let w(q) = i*r(q) - 3*u(q). Determine y so that w(y) = 0.
2
Let o(q) be the second derivative of q**6/9 - 17*q**5/30 + 7*q**4/6 - 11*q**3/9 + 2*q**2/3 + 4*q. Factor o(x).
2*(x - 1)**3*(5*x - 2)/3
Let d(t) be the third derivative of t**8/336 - t**7/105 + t**6/120 - 17*t**2. Factor d(o).
o**3*(o - 1)**2
Let u(n) = -n**2 + 3*n + 1. Let w(a) = -3*a**2 + 8*a + 4. Let i(t) = -8*u(t) + 3*w(t). Solve i(x) = 0 for x.
-2, 2
Suppose 0*h - 3*h - 7*h = 0. Factor 0 + 0*m + 0*m**2 - 1/3*m**4 + h*m**3.
-m**4/3
Let b be (-8)/3*(-15)/10. Factor -3*s**2 - b*s + s**2 - 3*s + 3*s - 2.
-2*(s + 1)**2
Let v(p) be the third derivative of p**5/30 + p**4 + 12*p**3 - 18*p**2. Factor v(s).
2*(s + 6)**2
Let q(v) be the third derivative of -v**5/12 - 5*v**4/24 - 31*v**2. Determine r so that q(r) = 0.
-1, 0
Suppose -2/5*o**4 + 0 - 9/5*o**3 - 12/5*o**2 - 4/5*o = 0. What is o?
-2, -1/2, 0
Let d = 18 + -16. Let b(z) be the second derivative of 1/2*z**4 + 0*z**d - 1/3*z**3 + 0 + 1/15*z**6 - 3/10*z**5 + 3*z. Factor b(a).
2*a*(a - 1)**3
Let u(t) be the third derivative of -3*t**2 + 0 - 1/8*t**4 - 1/20*t**5 + 0*t**3 + 0*t. What is r in u(r) = 0?
-1, 0
Let 2/7 + 6/7*b + 6/7*b**2 + 2/7*b**3 = 0. Calculate b.
-1
Let 3/7*p - 3/7*p**2 + 1/7*p**3 - 1/7 = 0. What is p?
1
Suppose -30 + 6 = -6*m. Let p(x) be the third derivative of -1/240*x**5 + 0*x**3 + 0 + 0*x + 0*x**m + 3*x**2. Factor p(j).
-j**2/4
Let y(k) be the first derivative of 1/9*k**3 + 0*k**2 + 0*k + 5. Determine v, given that y(v) = 0.
0
Let m(u) be the first derivative of u**6/2 - 3*u**4/2 + 3*u**2/2 + 7. Factor m(z).
3*z*(z - 1)**2*(z + 1)**2
Let h(k) be the third derivative of -4*k**2 + 0*k + 0 + 1/168*k**8 + 5/12*k**4 - 1/21*k**7 - 1/3*k**3 - 1/3*k**5 + 1/6*k**6. Solve h(l) = 0.
1
Determine v, given that 1/3*v - 1/6*v**2 + 1/2 = 0.
-1, 3
What is j in 9*j - 11*j + 14*j + 4*j**3 - 11*j**2 - 5*j**2 = 0?
0, 1, 3
Let q(v) = 6*v**2 + 3*v + 5 + 6*v + 4. Let t(y) = -11*y**2 - 19*y - 19. Let z(l) = -5*q(l) - 3*t(l). Factor z(o).
3*(o +