/10 - t**4/8 - t**3/2 - 8*t**2. Factor a(y).
-3*(y - 1)**2*(y + 1)**3
Let o(m) be the third derivative of m**7/2940 - m**5/420 + m**3/2 + 6*m**2. Let v(h) be the first derivative of o(h). Factor v(t).
2*t*(t - 1)*(t + 1)/7
Let o(r) be the third derivative of -r**9/60480 + r**7/10080 - r**4/24 + r**2. Let j(g) be the second derivative of o(g). Factor j(p).
-p**2*(p - 1)*(p + 1)/4
Let w(u) = -9*u + 27. Let z be w(3). Factor -2/9*l**4 + z + 4/9*l**3 + 0*l - 2/9*l**2.
-2*l**2*(l - 1)**2/9
Let m(b) be the first derivative of -4*b**3/3 - 10*b**2 - 16*b - 13. Factor m(d).
-4*(d + 1)*(d + 4)
Determine i, given that 9/2*i**3 + 15/2*i - 3/2 - 21/2*i**2 = 0.
1/3, 1
Suppose -r = 4*r - 10. Factor -5*a**2 + 3*a + a**2 + 10*a**r - 3.
3*(a + 1)*(2*a - 1)
Let f(b) be the first derivative of 3 + 1/4*b + 0*b**3 - 1/20*b**5 - 1/4*b**2 + 1/8*b**4. Suppose f(w) = 0. Calculate w.
-1, 1
Let u(x) be the second derivative of -4*x + 0*x**3 - 6*x**2 - 3/20*x**5 + 3/4*x**4 + 0. Factor u(v).
-3*(v - 2)**2*(v + 1)
Let n(u) = 15*u**3 - 27*u**2 - 21*u + 24. Let r(j) = j**4 - 46*j**3 + 80*j**2 + 62*j - 73. Let y(x) = 8*n(x) + 3*r(x). Factor y(o).
3*(o - 3)**2*(o - 1)*(o + 1)
Let 0 + 4/5*k**2 - 4*k**3 + 12/5*k**5 + 8/5*k - 4/5*k**4 = 0. What is k?
-1, -2/3, 0, 1
Let g be (1 + 20/(-8))*7/(-8). Let y(h) be the first derivative of -2 + 9/20*h**5 + g*h**4 - 2*h - 5/2*h**2 - 1/6*h**3. Find k, given that y(k) = 0.
-2, -2/3, 1
Find o such that 4/7*o**2 - 2/7*o - 2/7*o**3 + 0 = 0.
0, 1
Let v(t) be the third derivative of -t**5/20 + t**4/4 - t**3/2 + 3*t**2. Factor v(o).
-3*(o - 1)**2
Suppose -3 = 6*t - 15. Let n(m) be the first derivative of -4*m - 5/2*m**4 + 6/5*m**5 + t + 5*m**2 - 2/3*m**3. Determine v, given that n(v) = 0.
-1, 2/3, 1
Let -1/2*o**2 - 1/2*o**3 + 1/2 + 1/2*o = 0. Calculate o.
-1, 1
Let k = 9/46 + -247/1380. Let h(n) be the second derivative of -k*n**4 - 1/100*n**5 + 1/150*n**6 + 0*n**2 + 1/30*n**3 + 3*n + 0. Factor h(b).
b*(b - 1)**2*(b + 1)/5
Let x = 151/213 + -3/71. Factor 2/3*c**4 - x*c**2 - 2/3*c**3 + 2/3*c**5 + 0*c + 0.
2*c**2*(c - 1)*(c + 1)**2/3
Factor 2*w**4 + 26*w**3 - 4*w**2 + 60*w**2 - 6*w**2 + 20*w**2 - 98*w.
2*w*(w - 1)*(w + 7)**2
Let k = 4 - -3. Let f(t) be the second derivative of 10/3*t**4 - 2*t + t**2 + 1/6*t**k + t**6 + 5/2*t**5 + 0 + 5/2*t**3. Let f(a) = 0. Calculate a.
-1, -2/7
Suppose j = 2*j - 2. Find r, given that 4 + 3*r + 3*r - 3*r**j + 5*r**2 = 0.
-2, -1
Let t be 898/(-7) + (-13)/13. Let x = -129 - t. Factor -x*p**2 - 2/7*p + 0.
-2*p*(p + 1)/7
Let f be ((-9)/15)/(1 + -4). Determine y so that f*y + 0 + 1/5*y**2 - 1/5*y**3 - 1/5*y**4 = 0.
-1, 0, 1
Factor -2*g - g + 3*g**2 - 5 - 1.
3*(g - 2)*(g + 1)
Let s = 307/5610 - 4/187. Let a(b) be the third derivative of 0*b + 0 + 1/12*b**4 + 3*b**2 + 0*b**3 + s*b**5. Determine y so that a(y) = 0.
-1, 0
Let b(d) = -d**3 - 2*d**2 + 3*d. Let x(f) = -f + 1. Let r be x(4). Let m be b(r). Factor 2/7*h**5 - 4/7*h**4 + 4/7*h**2 - 2/7*h + m*h**3 + 0.
2*h*(h - 1)**3*(h + 1)/7
Let l(q) be the second derivative of 2*q + 0*q**2 + 2/9*q**3 + 1/9*q**4 + 1/60*q**5 + 0. Find r, given that l(r) = 0.
-2, 0
Suppose -5*r = 0, -9*r + 12 = 4*f - 7*r. Solve 0 + 2/3*s**f + 8/3*s - 8/3*s**2 = 0 for s.
0, 2
Let y(p) be the second derivative of p**4/108 - p**3/18 + p**2/9 - 11*p. Find s, given that y(s) = 0.
1, 2
Suppose -3*a = -8*a. Let t(m) be the third derivative of a*m - 7/12*m**4 + 0 - 1/105*m**7 - 1/12*m**6 - 2/3*m**3 - 3*m**2 - 3/10*m**5. Factor t(n).
-2*(n + 1)**3*(n + 2)
Let a(n) be the first derivative of -n**6/2 + 9*n**5/5 + 3*n**4/4 - 7*n**3 + 12*n - 3. Suppose a(k) = 0. What is k?
-1, 1, 2
Suppose -3*o - 5*p + 27 = 8, -3*o + p + 7 = 0. Factor -4 - 3*i**5 - o*i**5 - 4*i + 8*i**3 + 2*i**5 - 4*i**4 + 8*i**2.
-4*(i - 1)**2*(i + 1)**3
Let q(w) be the third derivative of -2/5*w**4 + 9/200*w**6 - 6*w**2 + 2/5*w**3 + 0*w - 11/100*w**5 + 0. Factor q(v).
3*(v - 2)*(v + 1)*(9*v - 2)/5
Let r(u) be the second derivative of -1/28*u**7 - u - 1/20*u**6 + 0 + 5/8*u**4 + 9/40*u**5 + 1/2*u**3 + 0*u**2. Factor r(c).
-3*c*(c - 2)*(c + 1)**3/2
Suppose 0 = -6*b + 7 + 5. Let l(z) be the third derivative of -1/210*z**5 + 0*z**3 + 0 + 1/42*z**4 + z**b + 0*z. Solve l(g) = 0.
0, 2
Let n(o) = -o**3 + 17*o**2 + 19*o - 18. Let b be n(18). Let y(q) be the first derivative of b*q - 3 + q**2 - 1/3*q**3. Suppose y(w) = 0. Calculate w.
0, 2
Let w(s) be the third derivative of -s**6/40 - s**5/60 + s**4/8 + s**3/6 + s**2. Factor w(h).
-(h - 1)*(h + 1)*(3*h + 1)
Let k = -1004/171 + 120/19. What is u in 10/9*u**4 + 0 + 2/9*u**3 - 10/9*u**2 - 2/3*u**5 + k*u = 0?
-1, 0, 2/3, 1
Find k such that 6*k**3 + 6*k**3 - 8*k**4 + 5*k + 2*k**5 - 8*k**2 - 3*k = 0.
0, 1
Let l(y) be the second derivative of -7/15*y**6 + 0 + 3/10*y**5 + 2/3*y**3 + 9*y + 7/6*y**4 - 5/21*y**7 + 0*y**2. Suppose l(q) = 0. What is q?
-1, -2/5, 0, 1
Let a = 6 - 4. Let v be a/(-3) - 24/(-9). Determine t, given that -2*t - 1 - t**v + 3*t + t = 0.
1
Let n(y) = 8*y**2 + 8*y + 14. Let r(w) = w**2 + 1. Let v(h) = n(h) - 6*r(h). Find a such that v(a) = 0.
-2
Let f be 1/4 - (-44)/16. Factor -8 + 3*a + 11 - 3*a**f + a**2 - 4*a**2.
-3*(a - 1)*(a + 1)**2
Let z(o) be the second derivative of o**6/240 - o**5/80 + 23*o. Factor z(f).
f**3*(f - 2)/8
Let f(y) be the third derivative of -1/20*y**5 + 3/2*y**3 + 0 - 1/4*y**4 - y**2 + 0*y. Factor f(r).
-3*(r - 1)*(r + 3)
Factor -13/3*j**3 - 11/6*j + 1/3 - 1/2*j**5 + 4*j**2 + 7/3*j**4.
-(j - 1)**4*(3*j - 2)/6
Let f = -40 + 45. Let l(q) be the second derivative of 0 - 2*q**3 + 3/2*q**4 - 2/5*q**f + q**2 - 2*q. Factor l(a).
-2*(a - 1)**2*(4*a - 1)
Let p(n) be the third derivative of -n**6/160 + n**5/20 - 3*n**4/32 + 3*n**2. Suppose p(r) = 0. Calculate r.
0, 1, 3
Let b(a) be the second derivative of a**6/40 + 3*a**5/80 - a**4/16 - a**3/8 + a. Factor b(d).
3*d*(d - 1)*(d + 1)**2/4
Let p = -128 - -132. Factor 0*d**2 + 0*d - 4/5*d**3 + 0 + 2/5*d**p.
2*d**3*(d - 2)/5
Let m be 2/4 + 3/2. Suppose 19785*u**3 - 2801*u**m - 5749*u**3 - 1687*u**2 - 32 + 624*u - 15972*u**4 = 0. Calculate u.
2/11, 1/3
Let i be (4/(-48))/((-15)/(-9) - 2). Let 0*k + 1/4 - i*k**2 = 0. Calculate k.
-1, 1
Let a = -3 - -5. Let y(t) be the first derivative of -2 + 2*t - 1/2*t**4 - 3*t**2 + a*t**3. Factor y(z).
-2*(z - 1)**3
Let c(b) be the first derivative of -b**5/15 + b**4/4 - 2*b**3/9 + 8. Factor c(d).
-d**2*(d - 2)*(d - 1)/3
Let d(c) be the third derivative of 5*c**8/336 - c**7/14 - 3*c**6/4 + 9*c**5/2 + 135*c**4/8 - 405*c**3/2 + 2*c**2 - c. Factor d(t).
5*(t - 3)**3*(t + 3)**2
Let q(a) be the first derivative of a**6/60 + a**5/40 - a**4/24 - a**3/12 - 2*a + 2. Let g(x) be the first derivative of q(x). Determine h so that g(h) = 0.
-1, 0, 1
Let s(i) be the third derivative of -i**9/37800 + i**8/8400 - i**7/6300 + i**4/8 + 3*i**2. Let o(n) be the second derivative of s(n). Factor o(b).
-2*b**2*(b - 1)**2/5
Let d be 2/9*36/48. Let y(q) be the first derivative of -2/9*q**3 - d*q**4 + 1/3*q**2 + 2/3*q + 1. Find f such that y(f) = 0.
-1, 1
Let x = -1 - 12. Let h be (-3)/(-4) + x/(-4). Factor 0*i**3 + 0*i - 2/9 - 2/9*i**h + 4/9*i**2.
-2*(i - 1)**2*(i + 1)**2/9
Let i(p) be the third derivative of -p**6/1080 - p**5/540 + p**4/216 + p**3/54 - 8*p**2. Factor i(k).
-(k - 1)*(k + 1)**2/9
Let w be ((-2)/16)/(6/(-12)). Factor 1/2*c + 1/4*c**2 + w.
(c + 1)**2/4
Let o(r) be the third derivative of r**7/945 - r**5/90 + r**4/54 + 12*r**2. Factor o(g).
2*g*(g - 1)**2*(g + 2)/9
Let d(l) be the first derivative of 2/7*l + 108/7*l**4 + 7 + 72/7*l**3 + 18/7*l**2. Factor d(h).
2*(6*h + 1)**3/7
Let c(f) be the first derivative of f**4/20 + 4*f**3/15 - f**2/10 - 4*f/5 + 24. Determine t, given that c(t) = 0.
-4, -1, 1
Let x(s) = -7*s**5 - 7*s**4 - s**3 - s**2 - 4*s + 4. Let w(d) = 13*d**5 + 13*d**4 + d**3 + d**2 + 7*d - 7. Let m(v) = 4*w(v) + 7*x(v). Factor m(k).
3*k**2*(k - 1)*(k + 1)**2
Suppose 28 = 4*i - 5*o - 0*o, 0 = 4*o + 16. Let a(s) be the first derivative of 7*s**2 + 3 - 2*s**5 - 7/2*s**4 + i*s**3 + 4*s. Let a(f) = 0. What is f?
-1, -2/5, 1
Let s = -232/15 - -78/5. What is u in s*u**2 + 4/15*u + 2/15 = 0?
-1
Suppose 0 = 2*u + 1 - 7. Let j(w) = -w**2 + 3*w + 2. Let h be j(3). Determine l so that -3*l**2 + 6*l**h - 5*l**2 - 2*l**u = 0.
-1, 0
Suppose 85*c + 210*c + 260*c**3 - 28*c**4 + 27 + 345*c - 744*c**2 - 155 = 0. Wh