the third derivative of -y**7/504 - y**6/135 + y**5/90 - 2*y**3/3 + 6*y**2. Let f(d) be the first derivative of z(d). Factor f(u).
-u*(u + 2)*(5*u - 2)/3
Let z = 43/186 - 2/31. Factor 1/6*l**3 + 0 - 1/6*l**2 + 0*l - z*l**5 + 1/6*l**4.
-l**2*(l - 1)**2*(l + 1)/6
Let x be ((-1)/(-1))/(38 + -2). Let a(h) be the second derivative of 1/90*h**6 - x*h**4 + 0 - 3*h + 1/18*h**3 - 1/60*h**5 + 0*h**2. Factor a(s).
s*(s - 1)**2*(s + 1)/3
Suppose 0 = -l + 3*l - 5*o - 18, -5*l - 2*o + 16 = 0. Let x = -5 + 7. Factor -y**4 + l*y**2 + 0 - 1 - x*y**2.
-(y - 1)**2*(y + 1)**2
Factor 0*r**2 - 3/2*r**5 + 3*r**3 + 0 + 0*r**4 - 3/2*r.
-3*r*(r - 1)**2*(r + 1)**2/2
Let l be (-14)/(-63) - 4/99. Find a, given that -l*a**2 + 0 + 6/11*a**4 + 8/11*a**3 - 4/11*a = 0.
-1, 0, 2/3
Suppose -o = j + j - 6, -26 = -5*j + 3*o. Let y(f) be the third derivative of 0*f + 1/36*f**j + 0 + 0*f**3 + f**2 - 7/180*f**5. Factor y(g).
-g*(7*g - 2)/3
Let o(u) be the first derivative of 2 + 1/3*u**3 - 2*u + 2*u**2 - 1/6*u**4. Let a(f) be the first derivative of o(f). Factor a(i).
-2*(i - 2)*(i + 1)
Let y be 145/30 - 7/(-42). Determine z so that -5/4*z**4 + 0*z - z**2 + 0 + 2*z**3 + 1/4*z**y = 0.
0, 1, 2
Let i(h) be the first derivative of -h**3 + 3*h**2 - 3*h - 8. Factor i(r).
-3*(r - 1)**2
Factor 1/2*f**3 + 1/4 - 3/4*f**4 + 1/4*f**5 + 1/2*f**2 - 3/4*f.
(f - 1)**4*(f + 1)/4
Suppose 9*f - 4*f - 20 = 0. Factor -s**2 - s + 3*s**2 + s**3 - s**f - s**2.
-s*(s - 1)**2*(s + 1)
Let k = -158 + 161. Let p(t) be the second derivative of 4*t + 0*t**2 + 1/3*t**k - 1/12*t**4 + 0. Suppose p(o) = 0. Calculate o.
0, 2
Let p = 11 - 9. Factor -2/5*a**p - 2/5*a + 0.
-2*a*(a + 1)/5
Let w(n) be the second derivative of -n**7/70 - n**6/40 + n**5/40 + n**3/3 - 3*n. Let k(g) be the second derivative of w(g). Determine f, given that k(f) = 0.
-1, 0, 1/4
Let 0*j + 243/7*j**2 + 27*j**3 + 0 + 3/7*j**5 - 51/7*j**4 = 0. Calculate j.
-1, 0, 9
Let y(w) be the third derivative of w**6/300 - w**5/200 - w**4/40 + w**3/12 + 14*w**2. Solve y(n) = 0 for n.
-5/4, 1
Let m(c) be the first derivative of 0*c - 1/66*c**4 - 1/396*c**6 - 7/660*c**5 + 0*c**2 + 1/3*c**3 + 2. Let i(n) be the third derivative of m(n). Factor i(d).
-2*(d + 1)*(5*d + 2)/11
Let y(m) = 6*m**2 + 3*m - 3. Let v(z) = -5*z**2 - 3*z + 2. Let d(c) = -3*v(c) - 2*y(c). Solve d(f) = 0.
-1, 0
Let t(p) be the second derivative of -p**4/60 - 7*p**3/30 - 3*p**2/5 - 34*p. Determine m so that t(m) = 0.
-6, -1
Suppose -5*d - 25 = 5*x, 4*x + 8 = -d - 12. Factor -4/7*b + 2/7*b**2 + d.
2*b*(b - 2)/7
Let r(u) = 16*u**4 + 28*u**3 + 16*u**2 + 2. Let o(k) = 15*k**4 + 27*k**3 + 17*k**2 - k + 3. Let x(y) = 2*o(y) - 3*r(y). Factor x(c).
-2*c*(c + 1)*(3*c + 1)**2
Factor 8/3 - 44/3*m**2 + 12*m.
-4*(m - 1)*(11*m + 2)/3
Factor 0*n - n**2 + 0 + 3/2*n**4 - 1/2*n**3.
n**2*(n - 1)*(3*n + 2)/2
Let x(j) = j**2 - 4*j + 5. Let g be x(4). Factor -4*r**3 - 2*r**5 - r**g + r**3 + 6*r**4.
-3*r**3*(r - 1)**2
Let y(t) be the second derivative of t**8/1680 - t**6/360 - t**3/3 + t. Let g(z) be the second derivative of y(z). Find i such that g(i) = 0.
-1, 0, 1
Suppose 1/4*m**3 - 1/4*m**5 - 1/4*m**2 + 0 + 1/4*m**4 + 0*m = 0. What is m?
-1, 0, 1
Let j = 4 - 4. Suppose j*b + 20 = 5*b. Factor 7*q**4 - 4*q**b + 3 + 3*q**4 + 18*q**2 + 12*q - 3*q**4 + 12*q**3.
3*(q + 1)**4
Suppose -2*u = -0*u - 5*x - 19, -4*x = 2*u + 8. Let o be u*(-2)/(-8)*3. Suppose -o*h - 3/4*h**2 - 3/4 = 0. Calculate h.
-1
Let c(u) = 12*u**4 - 6*u**3 + 8*u**2 - 4*u - 10. Let o(t) = -t**4 + t**3 - t**2 + 1. Let r(x) = -2*c(x) - 20*o(x). Factor r(v).
-4*v*(v - 1)*(v + 1)*(v + 2)
Let q(a) be the first derivative of -2 + 1/7*a**2 + 4/7*a - 2/21*a**3. Factor q(p).
-2*(p - 2)*(p + 1)/7
Let m be ((-1)/3*0)/(0 + 1). Solve m + 2*w**4 + 10/7*w**3 + 0*w - 4/7*w**2 = 0.
-1, 0, 2/7
Let r(f) be the third derivative of f**5/540 + f**4/216 - f**3/27 + 10*f**2 - 5. Let r(s) = 0. Calculate s.
-2, 1
Let f(r) = 2*r + 6. Let c(u) be the third derivative of u**5/60 + 5*u**4/12 + 31*u**3/6 + u**2. Let b = -24 - -13. Let t(z) = b*f(z) + 2*c(z). Factor t(a).
2*(a - 2)*(a + 1)
Suppose -u + 4 = 2. Let j(y) be the second derivative of -1/3*y**3 + 0*y**u - 2*y + 0 + 1/6*y**4. Solve j(s) = 0 for s.
0, 1
Solve 0 - 2*a - 1/2*a**2 = 0.
-4, 0
Let q(x) = -4*x**4 - 10*x**3 - 10*x**2 + 10*x + 7. Let m(l) = -l**4 - 3*l**3 - 3*l**2 + 3*l + 2. Let j(i) = -14*m(i) + 4*q(i). Determine d, given that j(d) = 0.
-1, 0, 1
Let p(d) = d - 3. Let k be p(5). Solve 16 - 2*t + 2*t**k - 20 + 4*t = 0 for t.
-2, 1
Let z be (-168)/(-5928) - 1/(-13). Factor z*i**4 + 18/19*i**2 + 14/19*i + 10/19*i**3 + 4/19.
2*(i + 1)**3*(i + 2)/19
Solve 8/3 - 4*l**3 + 26/3*l**2 - 8*l + 2/3*l**4 = 0.
1, 2
Factor -2688*a**2 - 1372*a**4 + 3920*a**3 - 39*a - 88 + 24 + 743*a.
-4*(a - 2)*(7*a - 2)**3
Factor 2/9*r + 0 + 2/9*r**2 - 2/9*r**4 - 2/9*r**3.
-2*r*(r - 1)*(r + 1)**2/9
Let y(c) be the second derivative of 0 + c**2 + 1/3*c**3 - 4*c + 1/21*c**7 + 1/15*c**6 - 1/3*c**4 - 1/5*c**5. Factor y(q).
2*(q - 1)**2*(q + 1)**3
Let u = -12 + 1. Let x = u - -28. Let l(w) = -5*w**3 + 3*w**2 + 2*w + 6. Let r(b) = 14*b**3 - 8*b**2 - 6*b - 17. Let n(p) = x*l(p) + 6*r(p). Factor n(o).
-o*(o - 2)*(o - 1)
Let j(p) be the second derivative of p**5/20 - 5*p**4/12 + 4*p**3/3 - 2*p**2 + 3*p + 8. Factor j(k).
(k - 2)**2*(k - 1)
Let n(d) be the first derivative of -1 + 0*d**2 - d + 0*d**3 + 1/20*d**5 + 1/12*d**4. Let y(l) be the first derivative of n(l). Factor y(w).
w**2*(w + 1)
Factor 3/7*j**4 + 0*j**3 - 6/7*j**2 + 0*j + 3/7.
3*(j - 1)**2*(j + 1)**2/7
Solve 2/15*o**3 - 4/15*o**4 + 4/15 + 4/5*o**2 - 14/15*o = 0.
-2, 1/2, 1
Let k(l) be the third derivative of -l**7/70 - l**6/10 - 3*l**5/20 + l**4/2 + 2*l**3 - 3*l**2. Determine t so that k(t) = 0.
-2, -1, 1
Let p(j) = j**2 - 10*j + 2. Let m be p(11). Let g = m - 9. Find z, given that 2*z - 4*z + 0 + g - 2*z**2 = 0.
-2, 1
Let i(x) be the third derivative of -x**8/10080 - x**7/630 - x**6/90 - x**5/30 + 2*x**2. Let g(m) be the third derivative of i(m). Factor g(z).
-2*(z + 2)**2
Suppose -5 = i + 1. Let k(l) = l**2 + 7*l + 8. Let y be k(i). Find q such that -21/4*q**3 - 5*q**y + 5*q**4 + 0 + 25/4*q**5 - q = 0.
-1, -2/5, 0, 1
Let z be 4 + 3/(990/(-1317)). Let t(v) be the second derivative of -1/33*v**3 - 2*v + z*v**5 + 0 + 0*v**4 + 0*v**2. Find s, given that t(s) = 0.
-1, 0, 1
Let u(q) = 2*q - 9. Let f be u(6). Let -2*l**2 + 0*l + 4*l**3 - f*l - l**2 + 3*l**4 - l**3 = 0. Calculate l.
-1, 0, 1
Let g(f) be the first derivative of f**4/6 - 2*f**3/3 + 2*f**2/3 - 37. Let g(a) = 0. What is a?
0, 1, 2
Let r be (2 + -1)/((-4)/(-12)). Let c be (1/2)/(6/12). Solve -10*d + r + 2 - 5*d**2 - c - 9*d**2 = 0 for d.
-1, 2/7
Suppose 1 = 2*q - 7. Let l(u) = -2*u**3 + 2*u**2 - 1. Let a be l(-1). Find z, given that q - 6*z**a + 6*z - z**2 - 2*z**2 - z**2 = 0.
-1, -2/3, 1
Let r(v) be the first derivative of -1/3*v**3 + 3*v - 3 - 1/24*v**4 - v**2. Let z(i) be the first derivative of r(i). What is t in z(t) = 0?
-2
Let f be 14/(-6) - (-3)/9. Let k be (f - -5)*(-4)/(-6). Solve -5*x**4 - 9*x**2 + 4 - x + 14*x**3 - k - x**3 = 0.
-2/5, 1
Suppose 5*z = -5*t, 3*t + 30 = 2*z - t. Let h(m) = 0*m - 5 - 2*m - 7*m**2 + 2*m**2. Let g(u) = 4*u**2 + 2*u + 4. Let o(n) = z*h(n) + 6*g(n). Factor o(s).
-(s - 1)**2
Let o(c) be the second derivative of c**4/6 + c**3/7 - 7*c. Factor o(h).
2*h*(7*h + 3)/7
Let k = -355 + 17751/50. Let u(m) be the second derivative of 1/5*m**2 - 2*m + k*m**5 + 0 + 1/10*m**4 + 1/5*m**3. Suppose u(h) = 0. Calculate h.
-1
Let b(s) = s**2 - 13*s - 2. Let c be b(12). Let z be 4/(-2)*c/35. Factor -2/5 + 6/5*o**4 + 2/5*o**5 + 4/5*o**3 - 6/5*o - z*o**2.
2*(o - 1)*(o + 1)**4/5
Let b(m) be the third derivative of m**8/420 - m**7/210 + 4*m**3/3 + 7*m**2. Let r(i) be the first derivative of b(i). Factor r(d).
4*d**3*(d - 1)
Let l(t) be the first derivative of t**7/84 - t**6/20 + t**5/20 + t**4/12 - t**3/4 + t**2/4 - 2*t + 2. Let f(v) be the first derivative of l(v). Factor f(q).
(q - 1)**4*(q + 1)/2
Solve -12 + 12 - 12*n**3 + 8*n**2 + 4*n**5 = 0 for n.
-2, 0, 1
Let s = -338/9 + 1708/45. Solve 2/5*t - s - 2/5*t**3 + 2/5*t**2 = 0 for t.
-1, 1
Factor 14/3*g**2 - 10/3*g**3 - 4/3*g + 0.
-2*g*(g - 1)*(5*g - 2)/3
Let l(i) be the third derivative of i**5/20 + 3*i**4/8 - 2*i**3 + i**2 - 2. Factor l(r).
3*(r - 1)*(r + 4)
Let d(k) be t