Let p(n) = f*u(n) - 3*k(n). Factor p(o).
-3*o**2*(o - 2)*(o + 1)**2
Let c(p) be the third derivative of 5*p**5/3 + 10*p**4/3 + 8*p**3/3 - 31*p**2. Let c(l) = 0. Calculate l.
-2/5
Let v be ((-3)/8)/(6/48*-1). Let 2/19*r**v - 8/19*r - 16/19 + 4/19*r**2 = 0. What is r?
-2, 2
Let u(y) be the first derivative of -3*y**5/10 + 15*y**4/8 - 9*y**3/2 + 21*y**2/4 - 3*y - 1. Factor u(l).
-3*(l - 2)*(l - 1)**3/2
Let s = 316 - 1579/5. Factor -s + 1/5*b**3 - 3/5*b**2 + 3/5*b.
(b - 1)**3/5
Let d(f) be the first derivative of 12*f - 3*f**2 - 33/8*f**4 - 9*f**3 + 6 - 3/5*f**5. Solve d(b) = 0.
-2, 1/2
Solve -17*w**3 + 2*w - 7*w**2 + 2*w**4 + 15*w**3 + 5*w**2 = 0.
-1, 0, 1
Let b(j) = j**2 + 3*j. Let k(u) = 7*u**2 - u - 6. Let y(n) = 6*n**2 - 5. Let l(x) = 4*k(x) - 5*y(x). Let z(q) = 6*b(q) + 4*l(q). Factor z(d).
-2*(d - 2)*(d + 1)
Let t(y) be the second derivative of y**3/3 - 3*y**2 + 2*y. Let x be t(4). Factor 2*s + 3*s**4 + 7*s**2 + 5*s**4 + s**x + 2*s**5 + 12*s**3.
2*s*(s + 1)**4
Let y(i) = -4 - 4 - 3*i**2 - 6*i**2 - 12*i + 3. Let a(v) = -2*v**2 - 3*v - 1. Let o(r) = -26*a(r) + 6*y(r). Factor o(p).
-2*(p - 2)*(p - 1)
Let z(x) be the first derivative of 16*x**4/3 - 16*x**3/3 - 5*x**2/2 - x/3 - 19. Factor z(t).
(t - 1)*(8*t + 1)**2/3
Let l(p) be the second derivative of -p**9/9828 + p**8/10920 + p**7/5460 - p**3/2 + 6*p. Let h(g) be the second derivative of l(g). Factor h(u).
-2*u**3*(u - 1)*(2*u + 1)/13
Let r(f) = 14*f**2 + 8*f - 17. Let c(m) = 5*m**2 + 3*m - 6. Let p(b) = -11*c(b) + 4*r(b). Factor p(g).
(g - 2)*(g + 1)
Let x(q) = -q**4 + q**2 + q + 1. Let z = -2 - -3. Let f(p) = 12*p**4 - 2*p**3 - 12*p**2 - 8*p - 10. Let h(b) = z*f(b) + 10*x(b). Factor h(v).
2*v*(v - 1)**2*(v + 1)
What is g in 1 - 3/2*g**3 - 2*g**2 + 1/2*g = 0?
-1, 2/3
Let k = -35 + 107/3. Solve 2/3*t + 0 + k*t**2 = 0 for t.
-1, 0
Let k(p) be the second derivative of -p**5/130 - p**4/78 + 2*p. Determine f, given that k(f) = 0.
-1, 0
Let y(m) = -m**2 + 6*m - 5. Suppose -13 = -3*i + 2. Let a be y(i). Factor 0 - 1/4*o**2 + a*o.
-o**2/4
Let y(v) be the first derivative of 3 - 2/27*v**3 - 1/9*v**2 - 1/54*v**4 - 2*v. Let c(j) be the first derivative of y(j). Factor c(a).
-2*(a + 1)**2/9
Let d(n) be the first derivative of -n**8/840 + n**6/180 + 2*n**3 + 2. Let s(y) be the third derivative of d(y). Factor s(l).
-2*l**2*(l - 1)*(l + 1)
Factor f**3 + 2*f**3 - 2*f**3.
f**3
Let g = -3 - -6. Factor -3*h**g + h**3 + 3*h**3.
h**3
Let a = -13 - -9. Let i(c) = -2*c - 6. Let y be i(a). Factor 0*q + q**3 - y*q - 3*q**3 - 4*q**2.
-2*q*(q + 1)**2
Let l(a) be the second derivative of -5*a**7/24 - 11*a**6/8 - 53*a**5/16 - 155*a**4/48 + 5*a**2/2 - 2*a. What is n in l(n) = 0?
-2, -1, 2/7
Let s(o) be the third derivative of o**8/168 + 2*o**7/105 - 5*o**2. Factor s(m).
2*m**4*(m + 2)
Factor -21/4*l**2 - 3/4*l**5 - 15/4*l**4 - 27/4*l**3 + 0 - 3/2*l.
-3*l*(l + 1)**3*(l + 2)/4
Let 3*a**3 + 2*a**5 - a - 71*a**2 + 3*a**4 - 4*a**3 + 68*a**2 = 0. What is a?
-1, -1/2, 0, 1
Let t be 0 + (2 - (-1 - (-57)/21)). Factor 0*w - t*w**3 + 8/7*w**5 + 0 + 0*w**2 + 6/7*w**4.
2*w**3*(w + 1)*(4*w - 1)/7
Let a = 51/110 + 2/55. Suppose 3*x - 12 = 0, 4*r = -x + 3 + 1. Find l, given that -1/2*l**2 + r + a*l = 0.
0, 1
Let k(h) be the third derivative of -3*h**2 + 0*h**5 + 0*h + 1/24*h**4 + 0 - 1/9*h**3 - 1/360*h**6. What is b in k(b) = 0?
-2, 1
Solve 0*y + 4/7*y**2 + 0 - 4/7*y**3 = 0 for y.
0, 1
Let f(g) be the third derivative of 1/84*g**4 - g**2 + 0*g**3 + 0 + 1/210*g**5 + 11/735*g**7 + 0*g - 1/294*g**8 - 3/140*g**6. Solve f(p) = 0.
-1/4, 0, 1
Suppose z - 3*z = -2*o - 6, -1 = 2*z + 5*o. Let 2/13*k**5 + 10/13*k + 2/13 + 20/13*k**3 + 20/13*k**z + 10/13*k**4 = 0. Calculate k.
-1
Let b(c) = -24*c**3 - 23*c**2 + 59*c - 7. Let l(y) = -12*y**3 - 11*y**2 + 29*y - 4. Let w(n) = 2*b(n) - 5*l(n). Factor w(d).
3*(d - 1)*(d + 2)*(4*d - 1)
Let p = -78 + 78. Factor 0 - 1/4*a**5 - 1/4*a**3 - 1/2*a**4 + 0*a**2 + p*a.
-a**3*(a + 1)**2/4
Let a be (-52)/(-338) - (-118)/78. Factor 1/3*g**3 - 3 + a*g**2 + g.
(g - 1)*(g + 3)**2/3
Suppose 8*x = 10*x. Let o(c) be the second derivative of c + 1/5*c**6 + 0 - 1/10*c**5 + x*c**2 - 1/2*c**4 + 1/3*c**3. Factor o(h).
2*h*(h - 1)*(h + 1)*(3*h - 1)
Let x(w) be the third derivative of -w**7/70 + 3*w**6/40 + w**5/20 - 3*w**4/8 - 16*w**2. Factor x(o).
-3*o*(o - 3)*(o - 1)*(o + 1)
Suppose 0 = -3*c - 0*c. Let j = 4/5 + 27/10. What is m in c + m + j*m**2 + 3/2*m**3 = 0?
-2, -1/3, 0
Let x(j) = -j. Let u be x(-10). Let q be ((-16)/(-6))/(15/u). Find c, given that q*c**3 - 32/9*c**4 - 2/9*c**2 + 0 + 0*c = 0.
0, 1/4
Let u(x) be the third derivative of -x**8/9240 + x**7/4620 + x**6/990 + 5*x**3/6 - 4*x**2. Let d(g) be the first derivative of u(g). Let d(h) = 0. Calculate h.
-1, 0, 2
Let 0*j - 2/9 + 2/9*j**2 = 0. Calculate j.
-1, 1
Suppose -27*h = -26*h - 2. Factor 1/2*n**4 + 1/2 + 0*n - n**h + 0*n**3.
(n - 1)**2*(n + 1)**2/2
Let z(l) be the first derivative of 2*l**3/15 + 4*l**2/5 + 8*l/5 - 4. Factor z(p).
2*(p + 2)**2/5
What is r in 3/2*r**5 + 6*r**2 + 3/2*r + 0 + 9*r**3 + 6*r**4 = 0?
-1, 0
Let r(b) be the first derivative of 3*b**5/10 + 7*b**4/8 + 5*b**3/6 + b**2/4 - 10. Factor r(d).
d*(d + 1)**2*(3*d + 1)/2
Let q(l) = -l - 12. Suppose -3*s - 28 = -4*g, -s + 44 = -4*s - 4*g. Let i be q(s). Factor 0 + 0*t**2 + 2/9*t**3 + i*t + 2/9*t**4.
2*t**3*(t + 1)/9
Let p(o) = -o - 13. Let z(c) = -c - 14. Let u(l) = 7*p(l) - 6*z(l). Let h be u(-10). Factor -2*q**2 - 4/3*q + 0 + 0*q**h + 2/3*q**4.
2*q*(q - 2)*(q + 1)**2/3
Let j(d) = -4*d**4 - d**3 - 8*d**2 + d + 3. Let q(m) = m**2 + m**4 - 1 + 0*m + 0*m**4 - 2*m**3 + m**3 - m. Let v(t) = j(t) + 3*q(t). Solve v(u) = 0 for u.
-2, -1, 0
Let o(g) = 2*g**2 + 3*g + 2. Let l be o(2). Find c such that -5*c**2 + l - 4 - 21*c + 11*c**2 + 3*c**3 = 0.
-4, 1
Suppose -5*v + 49 = 5*g + 14, -v - 2*g = -12. Suppose -2/7*y + 6/7*y**v - 4/7 = 0. Calculate y.
-2/3, 1
Suppose -u + 0*u + 3 = 0. Suppose -g**u + 13*g**2 + 0*g**3 - 15*g**2 = 0. What is g?
-2, 0
Suppose -5*b + 10 + 0 = 0. Suppose 0*k**2 - 33*k**3 + 4*k**b + 2*k**2 - 21*k**5 + 48*k**4 = 0. Calculate k.
0, 2/7, 1
What is k in 6*k**3 + 0*k**3 - k**3 = 0?
0
Factor 29*h - 21*h - 32 - 4*h**2 - 44*h.
-4*(h + 1)*(h + 8)
Let r be (4 + 33/(-6))/(1/(-2)). Let n(y) be the third derivative of 1/36*y**4 + 0*y**r + 0*y**5 - 1/180*y**6 + 0 - 3*y**2 + 0*y. Factor n(k).
-2*k*(k - 1)*(k + 1)/3
Let q be (4/10)/(4/80). Let b = -5 + q. Factor 0*x + 0*x**b + 0 - 2/7*x**2 + 2/7*x**4.
2*x**2*(x - 1)*(x + 1)/7
Suppose -2*q = q - 9. Suppose 0*k - 4*k + 27 = -3*a, -4*k = -4*a - 32. Factor 2*c + 2*c**k - c**q - 3*c.
c*(c - 1)*(c + 1)
Determine g, given that -48*g**3 - 8 + 168/5*g - 82/5*g**2 + 10*g**4 = 0.
-1, 2/5, 5
Let g(u) be the first derivative of 1/21*u**6 - 4/35*u**5 + 5 + 0*u - 1/7*u**2 + 4/21*u**3 + 0*u**4. Solve g(m) = 0.
-1, 0, 1
Suppose -1/4*g + 0 + 5/8*g**2 - 1/4*g**3 = 0. Calculate g.
0, 1/2, 2
Suppose 177 = 4*b - 375. Let d = b - 406/3. Factor -2/3 - d*h**2 + 8/3*h.
-2*(2*h - 1)**2/3
Let l(c) be the second derivative of -3*c**5/40 - 3*c**4/8 + c**3/4 + 9*c**2/4 - 29*c. Find h, given that l(h) = 0.
-3, -1, 1
Let d(q) be the third derivative of -1/735*q**7 + 1/84*q**4 + 0*q**3 + 0*q - 1/70*q**5 + 0 + 1/140*q**6 - q**2. Determine f so that d(f) = 0.
0, 1
Let c be 66/6 + 2*1. What is j in -7*j + 11*j**2 - c*j**2 - 8 + 15*j = 0?
2
Determine g, given that g**3 + 2*g + 207*g**2 - 3*g + 2 - 209*g**2 = 0.
-1, 1, 2
Let r = 17 + -5. Let o be 10/r - 13/39. Factor 0 + o*d**2 + 0*d + d**3 + 1/2*d**4.
d**2*(d + 1)**2/2
Suppose -2*f = -4*s, -5*f + f = -s - 14. Suppose -20 = -0*k - f*k. Factor 5*h**2 - 10*h + 0*h**3 - 2 - 20*h**3 - 25*h**2 - 2*h**k - 10*h**4.
-2*(h + 1)**5
Let n be 75/15 + (-2 - -1). Factor -5*q**3 + q**3 - 3*q - 6*q**3 + n*q**4 + 8*q**2 + q.
2*q*(q - 1)**2*(2*q - 1)
Let j(r) = -7*r**3 + 22*r**2 - 18*r + 2. Let u(q) = 190*q**3 - 595*q**2 + 485*q - 55. Let c(v) = 55*j(v) + 2*u(v). Factor c(z).
-5*z*(z - 2)**2
Factor 6/7*f**3 + 8/7*f**2 + 0 - 8/7*f - 2/7*f**5 - 4/7*f**4.
-2*f*(f - 1)**2*(f + 2)**2/7
Let x be 1/(7/(6 - -8)). Determine b, given that 1/5*b**x + 1/5*b + 0 = 0.
-1, 0
Factor -6*c**3 + 8*c - 2*c**2 + 3*c**4 - 4*c**5 + 7*c**4 - 6*c.
-2*c*(c - 1)**3*(2*c + 1)
Let c = -4 - -6. Let -2*u**2 - 4*u**3 - c*u**4 - 3*u**2 + 3*u**2 = 0. Calculate u.
-1, 0
Let r(t) be the