 - 4*c**b + 7*c**4 - 15*c**3 + 6*c**2 - c**4 = 0.
-1, 1, 2
Factor 1/2*l**3 - 1 + l**2 - 1/2*l.
(l - 1)*(l + 1)*(l + 2)/2
Let t(g) = 3*g**3 - 4*g**2 - 5*g - 4. Let m(x) = x**3 - x**2 - x - 1. Let a(j) = 4*m(j) - t(j). Let b(p) = -p**2. Let w(z) = -a(z) + 2*b(z). Factor w(y).
-y*(y + 1)**2
Factor -18*p**2 + 540*p**3 + 16 - 282*p**3 - 272*p**3 + 14*p + 2*p**4.
2*(p - 8)*(p - 1)*(p + 1)**2
Let k(s) be the second derivative of -s**7/6300 - s**6/450 - s**5/75 + s**4/6 + 2*s. Let a(p) be the third derivative of k(p). Let a(m) = 0. Calculate m.
-2
Let f(w) be the second derivative of -1/6*w**2 + 0 - 1/20*w**5 - 7/36*w**4 - 3*w - 5/18*w**3. Factor f(o).
-(o + 1)**2*(3*o + 1)/3
Let u(o) be the first derivative of -2*o**5/5 + 2*o**4 - 4*o**3 + 4*o**2 - 2*o + 15. Determine p so that u(p) = 0.
1
Let o = -110 + 113. Factor 0 - 3/2*x**2 - 1/2*x - 3/2*x**o - 1/2*x**4.
-x*(x + 1)**3/2
Factor 22 - 9*q**2 - 10 - q**4 + 6*q**3 - 12.
-q**2*(q - 3)**2
Let -11/2*a**4 - 2*a**5 + 5/4*a + 1/4*a**2 - 17/4*a**3 + 1/4 = 0. What is a?
-1, -1/4, 1/2
Let c = 253 + -251. Solve 0 + 4/11*g**3 + 2/11*g**c + 0*g + 2/11*g**4 = 0 for g.
-1, 0
Let a(d) be the first derivative of -5*d**5 - 55*d**4/2 - 115*d**3/3 - 15*d**2 - 1. Find m such that a(m) = 0.
-3, -1, -2/5, 0
Let -c**4 + 5/3*c - 5/3*c**3 - 2/3 + 5/3*c**2 = 0. Calculate c.
-2, -1, 1/3, 1
Factor -28/3*j - 26/3*j**2 + 3*j**4 + j**3 - 8/3.
(j - 2)*(j + 1)*(3*j + 2)**2/3
Let h(c) be the third derivative of -c**8/840 - 2*c**7/525 + c**5/75 + c**4/60 - 3*c**2. Determine r, given that h(r) = 0.
-1, 0, 1
Suppose -6 - 6 = -3*r. Suppose -18 - 6 = -r*v. Factor -8*g**2 + v - 3 - 5 + 8*g.
-2*(2*g - 1)**2
Suppose 7 - 1 = v - o, -15 = 3*o. Factor 0*x**2 + v - 1 - 1 + x**2.
(x - 1)*(x + 1)
Let l(x) be the third derivative of -x**7/1260 + x**6/180 + x**4/6 + 6*x**2. Let d(w) be the second derivative of l(w). Factor d(m).
-2*m*(m - 2)
Let a(z) be the first derivative of z**4/2 + 2*z**3/3 - z**2 - 2*z + 10. Determine b so that a(b) = 0.
-1, 1
Let l(q) be the first derivative of -2*q**3/3 + 2*q + 22. Factor l(m).
-2*(m - 1)*(m + 1)
Let a(u) be the first derivative of u + 2. Let j(h) = h**2 + 3*h + 3. Let x(w) = -3*a(w) + 3*j(w). Factor x(s).
3*(s + 1)*(s + 2)
Let a = 2 + -2. Let v(u) be the third derivative of 1/90*u**6 + 0 - 1/90*u**5 + a*u - 2*u**2 + 0*u**3 + 0*u**4 - 1/315*u**7. What is r in v(r) = 0?
0, 1
Let k(q) = -9*q**3 - 7*q**2 + 11. Let t(f) = -4*f**3 - 4*f**2 + 6. Let l(w) = 2*k(w) - 5*t(w). Determine u so that l(u) = 0.
-2, 1
Let n = 561 + -3921/7. Let -2/7*q**2 + 0 + n*q = 0. What is q?
0, 3
Suppose -5*v - 9 - 3 = -p, -4*p + 2 = 3*v. Factor 0*w**2 - p*w**3 + w + w**3 + 0*w**2.
-w*(w - 1)*(w + 1)
Let h(z) be the first derivative of 3*z**5/10 - 3*z**4/8 - z**3/2 + 3*z**2/4 + 1. Solve h(a) = 0 for a.
-1, 0, 1
Find b, given that 12*b + 3*b**3 - b**2 - 10*b**2 - b**2 + 0*b**3 = 0.
0, 2
Let c(v) be the second derivative of -v**6/90 + v**5/15 - v**4/6 + 2*v**3/9 - v**2/6 + 19*v. Factor c(d).
-(d - 1)**4/3
Let y(v) be the first derivative of 0*v**2 + 2 - 1/12*v**4 + 0*v + 1/9*v**3. Factor y(m).
-m**2*(m - 1)/3
Let o(a) be the third derivative of 0*a + 0*a**3 - 1/120*a**6 + a**2 - 1/72*a**4 + 0 + 1/630*a**7 + 1/60*a**5. Factor o(i).
i*(i - 1)**3/3
Let j be (-15)/(-6)*8/10. Factor 4*u**j + 8*u**2 + 4*u**2 + 4*u**3 + 16*u.
4*u*(u + 2)**2
Let m be 2 + (1/(-6)*47)/4. Let h(c) be the second derivative of 1/16*c**4 - 3*c + 1/16*c**5 - m*c**3 + 0 - 1/8*c**2 + 1/60*c**6. Factor h(q).
(q + 1)**3*(2*q - 1)/4
Let n = 1/12 - -2/3. Solve 1/4*d**5 + 0*d + 0 + 3/4*d**3 + n*d**4 + 1/4*d**2 = 0.
-1, 0
Let o be -3 - (2 - (6 + 0)). Determine w, given that 14*w**2 + 1 + 2*w**3 - o + 8*w**3 + 4*w = 0.
-1, -2/5, 0
Suppose 3*n = 5*n - 16. Suppose n*z - 10 = 3*z. Find x such that -2 + 0*x**4 + 7*x**3 + x**3 + 8*x - 2*x**4 + x**z - 13*x**2 = 0.
1
Solve 3*m**3 + 7*m**5 + 40*m**2 + 0*m**5 + 12*m**4 - 42*m**2 = 0.
-1, 0, 2/7
Let m = 5 - -13. Suppose -u - 2*l + m = u, -4*l = -u - 16. Factor 4 - n**3 - u - n**4.
-n**3*(n + 1)
Let t be 8/(-90)*(-6)/64. Let i(p) be the third derivative of 1/480*p**6 + p**2 + 0 + 1/96*p**4 + 0*p + 0*p**3 + t*p**5. Determine y so that i(y) = 0.
-1, 0
Let h = 119 + -115. Let y(z) be the third derivative of -1/840*z**8 - 2/525*z**7 + 0 + 1/75*z**5 + 0*z + 1/60*z**h + 2*z**2 + 0*z**3 + 0*z**6. Factor y(d).
-2*d*(d - 1)*(d + 1)**3/5
Suppose 3*w + 38 = -22. Let z be (-8)/w + (-6)/(-15). Suppose -4/5*b**3 - 16/5*b**2 + 4/5*b**4 - 14/5*b - z + 2/5*b**5 = 0. Calculate b.
-1, 2
Let f(u) be the first derivative of u**6/240 + u**5/30 + u**4/12 - u**2/2 + 3. Let s(m) be the second derivative of f(m). Solve s(o) = 0.
-2, 0
Suppose -2 = g, 2*d = 4*g - 7*g. Let t be (6/(-4))/(3/(-8)). Let 0 - 1 - 2*l**d + 2*l**4 - l**t + 2*l = 0. What is l?
-1, 1
Let w = -1/62 + 16/31. Let x(o) be the first derivative of -1 - 1/4*o**4 + w*o**2 + 0*o + 0*o**3. Factor x(v).
-v*(v - 1)*(v + 1)
Let p be (-2)/4 - (-14)/12. Let x(r) be the first derivative of 2*r**2 - 2 - p*r**3 - 2*r. Factor x(d).
-2*(d - 1)**2
Suppose -16*z + 12 = -10*z. Factor 0 - 1/2*a**z + 1/2*a.
-a*(a - 1)/2
Let r be -7 + 0 - (-3 - -2). Let s(z) = -8*z**2 + 2. Let w(u) = u**2. Let o(f) = r*w(f) - s(f). Factor o(c).
2*(c - 1)*(c + 1)
Let u = -1 - -1. Suppose u*p + 2*p = 8. Find z, given that z**3 + 2 - p - 3*z + 4 = 0.
-2, 1
Let c(v) be the third derivative of 1/90*v**5 + 1/12*v**4 + 0*v + 2/9*v**3 + 0 + 6*v**2. Suppose c(f) = 0. Calculate f.
-2, -1
Let i(c) = -c**2 + 9*c - 5. Let l be i(8). Factor -l*d**4 + d**4 + 7*d**2 - 4*d**2 - d**4.
-3*d**2*(d - 1)*(d + 1)
Let k(c) = -6*c + 28*c - 9*c**3 - 12 - 18*c**2 - 7*c. Let w(d) = d**3 + d**2 - d + 1. Let v(x) = -k(x) - 12*w(x). Factor v(f).
-3*f*(f - 1)**2
What is a in 2/7*a**3 + 4/7*a**4 + 0 + 0*a - 2/7*a**2 = 0?
-1, 0, 1/2
Let c(b) be the first derivative of -4/9*b**3 + 4/3*b + 7/6*b**4 + 4 - 7/3*b**2. Solve c(l) = 0.
-1, 2/7, 1
Factor 4/7*f**2 + 2/7*f**3 + 2/7*f + 0.
2*f*(f + 1)**2/7
Let a = 18 - 18. Let z(o) be the second derivative of -1/126*o**7 + 2*o + 0*o**3 + 0*o**2 + 0*o**5 + a + 0*o**4 - 1/90*o**6. Factor z(u).
-u**4*(u + 1)/3
Let l(g) be the second derivative of -g**6/6 - g**5/4 + 5*g**4/12 + 5*g**3/6 + 11*g. Let l(h) = 0. Calculate h.
-1, 0, 1
Let k = -59/8 + 8. Let h(m) be the first derivative of -1/4*m - 5/6*m**3 - 1 + k*m**2 + 1/24*m**6 - 1/4*m**5 + 5/8*m**4. Factor h(p).
(p - 1)**5/4
Let x be (-8)/10 - 990/(-675). Find i, given that -4/9 + 2/3*i**3 - x*i + 2/9*i**2 + 2/9*i**4 = 0.
-2, -1, 1
Solve 0 + 2/15*b**2 - 8/15*b = 0.
0, 4
Let t(u) be the first derivative of 7*u**4/18 - 2*u**3/3 + 2*u**2/9 - 8. What is h in t(h) = 0?
0, 2/7, 1
Let z be (-1 + 0)/((-3)/(-69)). Let h = -23 - z. Factor 1/3*m**5 + 0 - 1/3*m - 2/3*m**4 + h*m**3 + 2/3*m**2.
m*(m - 1)**3*(m + 1)/3
Factor 6*b**4 + 70*b**3 + 211*b + 2*b**4 + 209*b - 3*b**4 + 305*b**2 + 180.
5*(b + 1)**2*(b + 6)**2
Let j(t) = -12*t**2 - 45*t + 57. Let l(q) = -3*q**2 - 11*q + 14. Let p(m) = -5*j(m) + 21*l(m). Factor p(h).
-3*(h - 1)*(h + 3)
Let y be (4/10)/(56/280). Suppose 0*b + 0 + 1/4*b**y - 1/4*b**4 + 0*b**3 = 0. What is b?
-1, 0, 1
Let k(b) = 3*b**2 + 9*b**2 + b**2 - 4*b**2. Let r(z) = -13*z**2. Suppose 0 = -3*s - 11 - 4. Let v(j) = s*r(j) - 7*k(j). Factor v(c).
2*c**2
Let n = -7 - -10. Let a(t) be the first derivative of -1 + 1/6*t**2 + 0*t + 1/4*t**4 - 1/3*t**n - 1/15*t**5. Factor a(k).
-k*(k - 1)**3/3
Let 1/9*s**4 + 0*s**2 + 1/3*s**3 + 0 - 4/9*s = 0. What is s?
-2, 0, 1
Let t(a) = 36*a**3 - 63*a**2 + 18*a + 1. Let b(x) = 12*x**3 - 21*x**2 + 6*x. Let n(g) = 8*b(g) - 3*t(g). Find w such that n(w) = 0.
-1/4, 1
Let -4*n + 2*n - 3*n**2 + 5*n + 6 + 0 = 0. What is n?
-1, 2
Let v(z) be the first derivative of z**4/6 + 2*z**3 + 9*z**2 + 18*z - 4. Factor v(h).
2*(h + 3)**3/3
Let u be (-42)/(-5) - 4/10. Suppose u*q = 2*q. Determine w, given that -1/3*w**2 + 0 + q*w - 1/3*w**3 = 0.
-1, 0
Let w be 3/(-2)*12/(-10). Let o = 264 + -1311/5. Suppose 3/5*q**4 - 3/5*q + 0 - o*q**3 + w*q**2 = 0. What is q?
0, 1
Let n = -703/4 - -176. Factor 3/4*l**3 + 5/4*l**2 + 1/4*l - n.
(l + 1)**2*(3*l - 1)/4
Let s = -2 - -3. Find m, given that -2*m - m + 11*m**3 - 12*m**3 + s + 3*m**2 = 0.
1
Let y = -3 - -4. Let q be 6*y - 2 - 2. What is t in 2 + 2*t - 2*t**q - 2*t = 0?
-1, 1
Let s be ((-1)/2)/((-8)/64). Factor -q**5 + 