*6/1080 + 7*s**3/6 - 3*s. Let t(o) be the second derivative of d(o). Factor t(n).
-n**2*(n + 1)**2/3
Factor 0*x**2 + 0 + 0*x + x**3 + 1/3*x**4.
x**3*(x + 3)/3
Let 8/3*l**4 + 2/3*l**5 + 0 + 8/3*l**3 + 0*l + 0*l**2 = 0. Calculate l.
-2, 0
Let l(t) be the first derivative of -t**6/420 + 3*t**2/2 - 4. Let p(d) be the second derivative of l(d). Determine y so that p(y) = 0.
0
Let f(l) = 491*l - 491*l - 3*l**2. Let q(h) = -3*h**2 - h**3 - h**2 - 3*h**2. Let g(v) = -7*f(v) + 3*q(v). Factor g(u).
-3*u**3
Let i(s) = 80*s**4 + 27*s**3 - 39*s**2 + 4*s - 5. Let u(b) = -240*b**4 - 80*b**3 + 116*b**2 - 12*b + 16. Let t(p) = 16*i(p) + 5*u(p). Let t(z) = 0. Calculate z.
-1, 0, 1/10, 1/2
Let b(j) be the third derivative of j**5/300 - j**3/30 + 11*j**2. Find t such that b(t) = 0.
-1, 1
Suppose 5 = -5*x + 20. Suppose -2/3*j**4 - 2/3*j**5 + 4/3*j**x + 4/3*j**2 - 2/3*j - 2/3 = 0. Calculate j.
-1, 1
Suppose 2*g**5 + 13*g**4 - 8*g**3 + 4*g**2 - 17*g**4 + 6*g**5 = 0. Calculate g.
-1, 0, 1/2, 1
Let k(n) be the first derivative of -7*n**6/30 + 37*n**5/25 - 33*n**4/10 + 44*n**3/15 - 4*n**2/5 - 16. Let k(g) = 0. Calculate g.
0, 2/7, 1, 2
Let g(k) = 10*k**3 + 2*k + 2. Let i(u) = -u**5 - 51*u**3 - 11*u - 11. Let v(m) = -22*g(m) - 4*i(m). Suppose v(s) = 0. Calculate s.
-2, 0, 2
Suppose -2*k - 3 = -3*k. Let m(s) be the first derivative of 1 - 2*s + s**2 - 1/6*s**k. Find f, given that m(f) = 0.
2
Factor 9*s**2 - s**3 - 2*s**2 - s**3 - 3*s**2.
-2*s**2*(s - 2)
Suppose 2*a = 4*s - 22, 2*a = -a - s + 2. Let w(i) = -2*i**5 - i**3 + 3. Let y(g) = g**5 - 1. Let m(r) = a*w(r) - 3*y(r). Determine x so that m(x) = 0.
-1, 0, 1
Factor -2/5*z**5 + 0*z**4 + 8/5 + 6*z + 4*z**3 + 8*z**2.
-2*(z - 4)*(z + 1)**4/5
Let -4*o**2 - 12*o + 14*o + 4*o**3 - 2*o**3 = 0. What is o?
0, 1
Suppose -11 = 3*z - 4*x - 33, 5*x + 24 = 2*z. Solve 7*j + 0*j**2 + z*j**2 + 0*j - 5*j = 0.
-1, 0
Let l(z) = -z - 6. Let h be l(-7). Suppose -h - 5 = -2*m. Suppose c**2 + m*c**3 - 2*c**3 + 0*c**3 = 0. What is c?
-1, 0
Let r be (-69)/12 - 3/12. Let f(j) = -j**3 - 4*j**2 - j - 6. Let b(x) = 3*x**3 + 11*x**2 + 3*x + 17. Let k(i) = r*b(i) - 17*f(i). Factor k(d).
-d*(d - 1)**2
Let r(o) be the third derivative of o**8/4480 - o**7/5040 - o**6/480 + o**5/240 + o**4/12 - 2*o**2. Let k(a) be the second derivative of r(a). Factor k(h).
(h - 1)*(h + 1)*(3*h - 1)/2
Let n(p) be the second derivative of 0 - p**2 + 4/3*p**3 - 1/15*p**6 + p + 2/5*p**5 - p**4. Find m such that n(m) = 0.
1
Let y(w) be the second derivative of w - 3/4*w**2 + 3/40*w**5 + 0 + 3/4*w**3 - 3/8*w**4. Factor y(l).
3*(l - 1)**3/2
Factor -3/2*d**3 - 33/4*d**2 + 9*d + 3/4*d**4 + 27.
3*(d - 3)**2*(d + 2)**2/4
Let m be 6/8*(-16)/(-6). Suppose 0 = -m*p + 6*p. Suppose 1/4*o + 3/4*o**2 + o**5 - 3/4*o**4 - 5/4*o**3 + p = 0. Calculate o.
-1, -1/4, 0, 1
Let f be 124/80 + 39/(-52). Factor 0 + 2/5*k**3 + 2/5*k - f*k**2.
2*k*(k - 1)**2/5
Let k(d) be the second derivative of d**4/36 + d**3/6 - 2*d**2/3 + 14*d. Let k(q) = 0. Calculate q.
-4, 1
Let o(m) be the first derivative of m**6/39 + 8*m**5/65 + 5*m**4/26 + 4*m**3/39 + 11. Factor o(s).
2*s**2*(s + 1)**2*(s + 2)/13
Let z = 11 - 9. Let n(s) be the first derivative of -2/9*s**3 - 2/3*s**z - 1 - 2/3*s. Factor n(o).
-2*(o + 1)**2/3
Let m(q) = -7*q**4 - 12*q**2 - 16*q + 3. Let h(u) = -u**4 + u**3 - u + 1. Let s(f) = 6*h(f) - m(f). Find o, given that s(o) = 0.
-3, -1
Let p be (3 - -5 - -1) + -4. Let c(a) = -a**3 + 11*a**2 + 15*a - 17. Let w(h) = 2*h**3 - 32*h**2 - 46*h + 52. Let n(i) = p*w(i) + 16*c(i). Factor n(r).
-2*(r - 3)*(r + 1)*(3*r - 2)
Suppose 4 = 8*j - 20. Factor 0*x - 2/7*x**j - 2/7*x**2 + 0.
-2*x**2*(x + 1)/7
Let o(l) = -l**3 + 9*l**2 - 8*l + 3. Let h be o(8). Determine b, given that b**3 - 2*b**2 + 3 - 1 - h*b**3 + 2*b = 0.
-1, 1
Let h be ((-6)/21)/((-2)/28). Suppose -2/3*l**2 - 2/3*l**h - 4/3*l**3 + 0*l + 0 = 0. What is l?
-1, 0
Let a be 3/(-6)*2*-3. Let q(l) be the second derivative of -1/54*l**4 - 2*l + 0 - 2/9*l**2 - 1/9*l**a. Factor q(d).
-2*(d + 1)*(d + 2)/9
Let g be ((-1)/3)/((-2)/12). Determine u so that 2/7*u + 0 - 6/7*u**g = 0.
0, 1/3
Suppose -4*u + 0*u = 24. Let d = -3 - u. Factor -2*n**2 + n - n**3 - 3*n**2 - 1 - d*n**2 + 9*n**2.
-(n - 1)**2*(n + 1)
Let f(k) = -k**3 + 8*k**2 + k + 8. Let n be f(8). Suppose 0 = 2*z + 4*r - 5*r + 4, 3*z - 4*r + n = 0. Factor 3/2*w**2 + 1/2*w**4 + 3/2*w**3 + z + 1/2*w.
w*(w + 1)**3/2
Let p be (-1 - (-2)/5)/((-12)/30). Find q such that 0*q**2 + 0 - 3/2*q + p*q**3 = 0.
-1, 0, 1
Let t = 16 - 18. Let p be t/(15/10*-2). Factor 0*r + 0*r**3 + 0 + 2/3*r**4 + p*r**5 + 0*r**2.
2*r**4*(r + 1)/3
Let s = -6717/20 - -336. Let y(r) be the second derivative of 13/24*r**4 + r**3 + 2*r + s*r**5 + r**2 + 1/60*r**6 + 0. Solve y(b) = 0 for b.
-2, -1
Let w be 10/(-5)*(-1 + 0). Let z be w*(1 - 3)/(-2). Determine f, given that 0*f + 1/5*f**3 + 0 + 4/5*f**5 + f**4 + 0*f**z = 0.
-1, -1/4, 0
Let c(g) be the third derivative of -g**6/30 + g**5/5 - g**4/2 + 2*g**3/3 + g**2. Factor c(q).
-4*(q - 1)**3
Suppose -23 = -4*a + 61. Let q be 91/a - 2/6. Let -3*p**2 + 2*p**2 + 5*p**4 - q*p**4 = 0. Calculate p.
-1, 0, 1
Suppose -3*z = -5*a + 24, 3*a = -2*a + 15. Let s = z - -6. Factor -5 + 4 + s*l**2 + 6*l + 4.
3*(l + 1)**2
Factor -9*q**3 - 2*q**2 + 8*q**2 + q**4 + 0*q**4 + 2*q**4.
3*q**2*(q - 2)*(q - 1)
Let w(m) be the third derivative of -4*m**4 + 0 + 0*m - 1/5*m**6 - 4*m**2 + 1/70*m**7 + 6/5*m**5 + 8*m**3. Let w(p) = 0. Calculate p.
2
Factor 2/3*t**4 - 2*t**2 - 4/3*t + 0 + 0*t**3.
2*t*(t - 2)*(t + 1)**2/3
Let l be 1/(1*3/15). Factor -i**l + 3 - 3 + i**3 + 0.
-i**3*(i - 1)*(i + 1)
Suppose 0 = 3*i - 8*i. Let l = 1/6 - -1/3. Solve l*a**2 - a + i = 0.
0, 2
Let c = 278 - 276. Factor 2*m**3 - 2/3*m**4 + 2/3*m - 2*m**c + 0.
-2*m*(m - 1)**3/3
Let y = -11 - -11. Let t be (1 - 1)/(-3 - -7). Factor 0*x + 2/7*x**3 + 0*x**2 + t*x**4 + y - 2/7*x**5.
-2*x**3*(x - 1)*(x + 1)/7
Let u be 1/(4/(-2))*0. Factor -h + 5*h - 6 + 0*h**2 + u*h + 2*h**2.
2*(h - 1)*(h + 3)
Let q(u) = -u**4 + u**3 + u**2 + 1. Let o(h) = 3*h**5 - 12*h**4 + 4*h**3 + 14*h**2 + h + 6. Let j(i) = 5*o(i) - 40*q(i). Factor j(k).
5*(k - 1)**3*(k + 1)*(3*k + 2)
Suppose 2*b = 5*p + 6 + 9, -3*p = b + 9. Suppose 0 = -3*c - 3*o - 1 - 11, -3*o - 12 = b. Factor 0*v - 1/5*v**2 + 1/5*v**4 + 0 + c*v**3.
v**2*(v - 1)*(v + 1)/5
Factor -25*t**3 + 31*t**2 + 24*t - 4*t + 9*t**2.
-5*t*(t - 2)*(5*t + 2)
Let x(y) be the third derivative of y**4 + 11/30*y**5 + 0*y + 0 - 7/20*y**6 - 2*y**2 + 7/120*y**7 + 2/3*y**3. Factor x(k).
(k - 2)**2*(7*k + 2)**2/4
Factor 3/7 + 15/7*q + 9/7*q**2 - 27/7*q**3.
-3*(q - 1)*(3*q + 1)**2/7
Let k be 1*(1 + -1)*-1. Let w(y) be the third derivative of 2/9*y**3 + 0*y - 1/45*y**5 - 1/180*y**6 + 1/36*y**4 + 2*y**2 + k. Solve w(f) = 0 for f.
-2, -1, 1
Let b = 103/40 - 19/8. Solve -1/5 - 2/5*w - b*w**2 = 0 for w.
-1
Determine i so that 3/4*i - 1/2 - 1/4*i**2 = 0.
1, 2
Let c(a) = -3*a**4 + 1. Let p(z) = 13*z**4 - z**3 - 3*z + 0 + 4*z + 6 - 10. Let k(m) = -9*c(m) - 2*p(m). Factor k(y).
(y - 1)*(y + 1)**3
Let y(b) be the first derivative of 6*b**5/35 - b**4/28 + 31. Solve y(x) = 0 for x.
0, 1/6
Suppose -5*w = -2*n + 21 + 9, n - 15 = 3*w. Factor 1 - n*u + 225/4*u**2.
(15*u - 2)**2/4
Let w(q) be the second derivative of -q**7/210 + q**6/75 - q**4/30 + q**3/30 - q. Factor w(b).
-b*(b - 1)**3*(b + 1)/5
Let o(c) be the second derivative of -c**7/189 + 2*c**6/135 - 33*c. Factor o(i).
-2*i**4*(i - 2)/9
Let i be (-80)/15*3/2. Let x = 11 + i. What is c in 0*c + 0 + 0*c**4 + 1/4*c**x - 1/4*c**5 + 0*c**2 = 0?
-1, 0, 1
Suppose 0*c - 5*c = -15. Let 0*v + 6*v**4 - 20*v + 4*v**c - 10*v**4 + 12*v**2 + 8 = 0. What is v?
-2, 1
Solve 2/7*g - 2/7*g**2 + 4/7 = 0 for g.
-1, 2
Let t be (-74)/259 - (0 + (-5434)/56). Suppose t*n**3 - 6 + 105/2*n**2 - 3*n + 189/4*n**4 = 0. Calculate n.
-1, -2/3, 2/7
Let q(a) = -3*a**5 - 3*a**4 - 15*a**2 + 12*a - 9. Let r(g) = -g**4 - g**2 + g - 1. Let k be (-2)/(-3 - (-50)/18). Let f(h) = k*r(h) - q(h). Factor f(u).
3*u*(u - 1)**3*(u + 1)
Let t(a) be the third derivative of a**7/105 - a**6/15 + a**5/15 + a**4/3 - a**3 - 30*a**2. Factor t(v).
2*(v - 3)*(v - 1)**2*(v + 1)
Let y(g) be the third derivative of -g**6/1440 + g**5/240 - g**4/96 + 7*g**3/6 - 4*g**2. Let u(a) be the first derivative of y(a). Factor u(j).
-(j - 1)**2/4
Let -44/9*q - 14/9 - 16/3*