 -2*h**5/5 - 3*h**4 + 10*h**3 - 8*h**2 + 69. Factor d(b).
-2*b*(b - 1)**2*(b + 8)
Let m(q) be the first derivative of q**5/120 + q**4/144 + 2*q**2 + 5. Let r(j) be the second derivative of m(j). Determine b so that r(b) = 0.
-1/3, 0
Let b(h) = h**4 + h**3 - h**2 - h. Let m(i) = 2*i**5 + i**4 - 19*i**3 - 29*i**2 + 35*i + 64. Let v(s) = 6*b(s) + 2*m(s). Factor v(w).
4*(w - 2)**2*(w + 2)**3
Let c = 35/1856 + -2646831/9280. Let r = -284 - c. Factor 9/5*l**2 + 0*l**3 - 3/5*l**4 + 0 + r*l.
-3*l*(l - 2)*(l + 1)**2/5
Factor 0 + 3/2*u**2 + 3/2*u.
3*u*(u + 1)/2
Let i(r) be the third derivative of -r**6/80 + r**5/8 - 7*r**4/16 + 3*r**3/4 - 4*r**2. Factor i(w).
-3*(w - 3)*(w - 1)**2/2
Let n(m) = 4*m**3 + 22*m**2 - 10*m - 10. Let j(d) = d**2 - d - 1. Let y(x) = 10*j(x) - n(x). Factor y(a).
-4*a**2*(a + 3)
Let h = -18 + 6. Let k(j) = j**3 + 12*j**2. Let b be k(h). Factor b + 2/9*q**3 - 4/9*q**2 + 0*q.
2*q**2*(q - 2)/9
Factor 21/4*c**3 + 0 + 3/4*c - 9/4*c**4 - 15/4*c**2.
-3*c*(c - 1)**2*(3*c - 1)/4
Let h(b) be the first derivative of -b**6/6 - 8*b**5/15 - b**4/2 + b**2/6 + 10. Factor h(p).
-p*(p + 1)**3*(3*p - 1)/3
Let g(i) be the second derivative of -2/9*i**3 + 1/18*i**4 - 3*i - 3/2*i**2 - 1/180*i**5 + 0. Let j(k) be the first derivative of g(k). Factor j(f).
-(f - 2)**2/3
Factor -2/5*s**2 - 2/5*s**3 + 0 + 0*s.
-2*s**2*(s + 1)/5
Suppose -j + 5 = -3. Suppose -8 + j + 2*k**2 - 2*k**3 = 0. What is k?
0, 1
Determine a so that -3*a**4 + 2*a**3 - a**4 - 18*a**3 + 8*a**3 = 0.
-2, 0
Let g = 16 + -21. Let k = g + 8. Determine b, given that -1/3 - 1/3*b + 1/3*b**2 + 1/3*b**k = 0.
-1, 1
Let c(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 2*b - 1/105*b**6 + 1/147*b**7 - 1/70*b**5 + 1/42*b**4. What is s in c(s) = 0?
-1, 0, 1
Let z(l) = 2*l**2 - 10*l + 14. Let j(m) = -m**2. Let x(t) = 6*j(t) + z(t). Let q(u) = 20*u**2 + 49*u - 69. Let c(s) = -2*q(s) - 11*x(s). Factor c(y).
4*(y - 1)*(y + 4)
Let o(m) be the first derivative of -3*m**7/560 + m**6/24 - 7*m**5/60 + m**4/6 + 4*m**3/3 - 1. Let u(n) be the third derivative of o(n). What is l in u(l) = 0?
2/3, 2
Let q be 6/4*6/9. Find r, given that 3*r**3 + r**3 - 3*r - r + 5*r**2 - q - 4*r**2 = 0.
-1, -1/4, 1
Let a(d) be the third derivative of -d**8/20160 + d**5/20 + 2*d**2. Let o(f) be the third derivative of a(f). Factor o(c).
-c**2
Let a(m) be the second derivative of 4*m - 1/4*m**4 + m**3 + 0 - 3/2*m**2. Factor a(s).
-3*(s - 1)**2
Let t(q) = 5*q**2 - 6*q - 4. Let u(z) = -6*z**2 + 7*z + 5. Let s(i) = 3*t(i) + 2*u(i). Let d be s(2). Factor 2/3*x**d + 4/3*x + 2/3.
2*(x + 1)**2/3
Let j(p) = 7*p**4 + 6*p**2 - 8*p + 5 - p**3 + 0*p**3 - 3*p**3. Let m(v) = -v**4 + v**3 - v**2 + v - 1. Let z(r) = -j(r) - 6*m(r). What is t in z(t) = 0?
-1, 1
Factor 0 + 2/13*u**5 + 0*u + 2/13*u**4 - 2/13*u**3 - 2/13*u**2.
2*u**2*(u - 1)*(u + 1)**2/13
Let t(w) be the first derivative of w**5/100 + w**4/12 + w**3/10 - 9*w**2/10 - 6*w + 7. Let c(d) be the first derivative of t(d). Factor c(x).
(x - 1)*(x + 3)**2/5
Suppose -35 = -8*o + o. Let h(x) be the third derivative of x**2 + 0 - 1/315*x**7 - 1/36*x**4 + 0*x + 1/180*x**6 + 1/90*x**o + 0*x**3. Factor h(f).
-2*f*(f - 1)**2*(f + 1)/3
Let x(j) be the first derivative of -j**6/15 + 3*j**4/10 + 4*j**3/15 + 14. Suppose x(y) = 0. Calculate y.
-1, 0, 2
Factor -3*o**4 + 5*o**4 + 1 - 4*o**3 - 1.
2*o**3*(o - 2)
Let l(v) = v + 1. Let b be l(-3). Let c be (-3 - b)/(1/(-3)). Determine n so that n**3 - 3*n**2 + 5*n**2 - 2*n + c*n = 0.
-1, 0
Factor 0*j - 2/15*j**2 + 0 + 2/15*j**3.
2*j**2*(j - 1)/15
Find u, given that 3*u**2 - 3*u + 6*u**4 + 6*u**3 + 3*u - 3*u**4 = 0.
-1, 0
Determine o so that -1/3*o - 1/3*o**2 + 2/3 = 0.
-2, 1
Let h = 14 - 23. Let b be (-24)/h + (-2)/(-6). Suppose -5*j**5 - 2*j**4 + 2*j**2 + 2*j**5 + 6*j**3 - b*j**5 = 0. What is j?
-1, -1/3, 0, 1
Let w(t) = -t**2 + 10*t - 64. Let z(r) = -r. Let h(j) = -w(j) + 6*z(j). Suppose h(n) = 0. Calculate n.
8
Let h(o) = o**2 - 5*o - 2. Let k be h(6). Let d be 2*(k - 15/4). Factor 1/2*q**3 - d*q - 1/2*q**2 + 1/2.
(q - 1)**2*(q + 1)/2
Factor 4*n**2 - 63*n**3 + 63*n**3 - 4*n**4.
-4*n**2*(n - 1)*(n + 1)
Let h(f) be the third derivative of 0*f + 2*f**2 + 1/735*f**7 + 0 + 0*f**5 - 1/21*f**3 - 1/210*f**6 + 1/42*f**4. Suppose h(y) = 0. What is y?
-1, 1
Suppose -4*t + 0*t = -16. Factor 40*u**2 + 8*u**4 + t*u**5 + 4*u**3 - 40*u**2.
4*u**3*(u + 1)**2
Let d(t) be the second derivative of -2*t + 0 + 11/6*t**3 - 3*t**4 + 4/5*t**5 + 32/15*t**6 - 1/2*t**2. Let d(z) = 0. Calculate z.
-1, 1/4
Let r be (1 - 35/33)*-15. Let c = r - 29/44. Factor c*j**2 - 1/4*j - 1/4*j**4 + 0 + 1/4*j**3.
-j*(j - 1)**2*(j + 1)/4
Suppose 11*c - 18*c = -14. Factor 1 + 1/2*n - 1/2*n**c.
-(n - 2)*(n + 1)/2
Let y(o) be the second derivative of 0 + 1/36*o**4 + 3*o + 1/6*o**2 - 1/9*o**3. Factor y(z).
(z - 1)**2/3
Let u = 8 - 6. Let d(s) be the second derivative of 1/60*s**5 + 0*s**3 + 0 - 1/18*s**4 + 0*s**u - 2*s. Determine a so that d(a) = 0.
0, 2
Let x(o) be the first derivative of 5*o**3/12 - o**2/4 + 18. Factor x(n).
n*(5*n - 2)/4
Determine z, given that -1/4*z**3 + 0 - 3/4*z**2 - 1/2*z = 0.
-2, -1, 0
Let z = -10/59 - -89/177. Suppose 1/3*b**2 + 1/3*b**3 - 1/3 - z*b = 0. What is b?
-1, 1
Let n = -3 + 4. Let x be n*(3 + 0 + 1). Factor t**2 + 2*t**2 + 2*t**5 + 6*t**x - t**2 + 6*t**3.
2*t**2*(t + 1)**3
What is u in 22/19*u**3 + 6/19*u**4 + 16/19*u**2 + 0 - 8/19*u = 0?
-2, 0, 1/3
Let s be (-4)/(-8)*(0 - -2). Factor -9*r + 12*r + r**2 + s - 5*r.
(r - 1)**2
Let q(n) be the first derivative of n**5/60 - n**4/72 + 2*n**2 - 5. Let v(b) be the second derivative of q(b). Factor v(c).
c*(3*c - 1)/3
Let j(v) = v**3 + 12*v**2 + 11*v + 2. Let x be (2/(-3))/(6/99). Let o be j(x). Solve 0*p**2 - 1 - p**2 + o*p + 3*p**2 - 3*p**2 = 0.
1
Suppose -1/2*m**2 - 1/2 - m = 0. What is m?
-1
Let h be 7/((-221)/(-1638) + (-4)/(-18)). Suppose 8/5 + h*u**2 + 56/5*u = 0. Calculate u.
-2/7
Let k(w) be the second derivative of -1/10*w**5 + 0*w**2 + 1/12*w**4 + 0 + 0*w**3 + 2*w + 1/30*w**6. Factor k(x).
x**2*(x - 1)**2
Let o(k) = 6*k**4 - 4*k - 4. Let c = -7 + 13. Let w(f) = 5 - 3*f + 2*f - 7*f**4 + c*f. Let d(z) = 5*o(z) + 4*w(z). Factor d(n).
2*n**4
Let x(r) = -r - 5*r - 2*r + 11*r**2. Let m = 5 + 3. Let k(w) = 7*w**2 - 5*w. Let s(a) = m*k(a) - 5*x(a). Factor s(p).
p**2
Let r(n) be the second derivative of n**8/1008 - n**7/630 + n**2/2 + 2*n. Let m(a) be the first derivative of r(a). Let m(j) = 0. Calculate j.
0, 1
Let u(b) be the third derivative of b**7/1260 - b**5/60 - b**4/6 - 3*b**2. Let a(d) be the second derivative of u(d). Factor a(s).
2*(s - 1)*(s + 1)
Let m(v) be the second derivative of 1/30*v**4 - 1/15*v**3 + v + 0 - 1/150*v**5 + 1/2*v**2. Let j(u) be the first derivative of m(u). Factor j(d).
-2*(d - 1)**2/5
Let 0 - 4/11*c - 2/11*c**2 + 12/11*c**3 - 4/11*c**5 - 2/11*c**4 = 0. What is c?
-2, -1/2, 0, 1
Let j be 3/(-2)*4/(-3). Factor q**2 + 1 + 2*q + 0 - 2*q**2 - j.
-(q - 1)**2
Let w(d) = -6*d - 204. Let v be w(-34). What is f in -4/3*f**2 + 0*f**3 + 2/3 + v*f + 2/3*f**4 = 0?
-1, 1
Let t be 1 - (-15)/6*2. Let x be 1*-3 + -1 + t. Find n, given that -1/2*n**3 + 0*n + 0 - 1/4*n**4 - 1/4*n**x = 0.
-1, 0
Let s(z) = -6*z**5 - 7*z**4 + 12*z**3 - 13*z - 7. Let f(k) = -3*k**5 - 3*k**4 + 6*k**3 - 6*k - 3. Let i(u) = 7*f(u) - 3*s(u). Suppose i(n) = 0. Calculate n.
-1, 0, 1
Let u(a) be the third derivative of 1/360*a**6 - 1/45*a**5 + 5/72*a**4 + 0 - 1/9*a**3 + a**2 + 0*a. Let u(x) = 0. Calculate x.
1, 2
Suppose j = 4 - 0. Let p(n) be the first derivative of 0*n**3 + 0*n**2 + 0*n + 6/5*n**5 + 1/3*n**6 - 2 + n**j. Determine t so that p(t) = 0.
-2, -1, 0
Let h(c) be the first derivative of -c**4/2 + 2*c**3/3 - 8. Determine n, given that h(n) = 0.
0, 1
Let j(b) be the first derivative of -b**4 + 5/3*b**3 + 0*b + 5 - b**2 + 1/5*b**5. Factor j(x).
x*(x - 2)*(x - 1)**2
Let u be 24507/(-105)*(-1)/(-3). Let o = -77 - u. Factor 18/5*x**2 + 0 - o*x.
2*x*(9*x - 2)/5
Let y = -9 + 8. Let q be y/3 + (-2)/(-6). Find z, given that 1/3*z**2 + q*z + 0 = 0.
0
Suppose 5/2*y**2 + 5/2*y**4 - 1/3*y - 17/3*y**3 + 0 + 3*y**5 = 0. What is y?
-2, 0, 1/3, 1/2
Let w(n) be the third derivative of n**8/90720 + n**7/11340 - n**6/1080 - 7*n**5/60 - 3*n**2. Let s(d) be the third derivative of w(d). Factor s(t).
2*(t - 1)*(t + 3)/9
Let v(a) be the first de