e third derivative of -o**6/160 + 3*o**5/40 - 3*o**4/8 + o**3 - 4*o**2. Factor b(q).
-3*(q - 2)**3/4
Let y(s) be the second derivative of s**6/45 - s**5/10 + s**4/6 - s**3/9 - 10*s. Factor y(w).
2*w*(w - 1)**3/3
Suppose 15*q - 16 = 11*q. Let j(i) be the third derivative of 0*i**3 + 1/504*i**8 + 0*i**q + 0 + 2/315*i**7 + 0*i + 0*i**5 + 2*i**2 + 1/180*i**6. Factor j(u).
2*u**3*(u + 1)**2/3
Let o(m) be the third derivative of -m**8/17640 - m**7/17640 + m**5/30 + 2*m**2. Let p(s) be the third derivative of o(s). Let p(d) = 0. What is d?
-1/4, 0
Let v = -30/59 + 976/295. Factor 16/5*d**2 + 32/5*d**3 + 2/5 - v*d.
2*(d + 1)*(4*d - 1)**2/5
Suppose 0 = -3*m + 10 + 5. Suppose -x = m*n - 2, -n - 3 = -x - 1. Determine k, given that 4/7*k + 0 - 2/7*k**x = 0.
0, 2
Determine j, given that 0 - 24/5*j - 4/5*j**2 = 0.
-6, 0
Suppose 2*n - 3*n + 2*b + 4 = 0, n - 4 = -3*b. Suppose -2*g - 2 = -5*u, 3*g - n = 2*g. What is p in 2*p + 2/5*p**3 + 8/5*p**u + 4/5 = 0?
-2, -1
Let h = -38 + 38. Let k = -18/35 + 4/5. Factor k - 2/7*n**2 + h*n.
-2*(n - 1)*(n + 1)/7
Let m(k) be the second derivative of 2*k + 1/4*k**2 + 0 + 1/20*k**5 - 1/60*k**6 - 1/6*k**3 + 0*k**4. Factor m(u).
-(u - 1)**3*(u + 1)/2
Factor 8*o**2 - o - 6*o**2 + 2*o**2 - 4*o**4 - 3*o + 4*o**3.
-4*o*(o - 1)**2*(o + 1)
Let l(z) be the first derivative of 0*z + 3 + 9/14*z**2 + 1/7*z**3. Solve l(k) = 0.
-3, 0
Let x(i) be the first derivative of -5*i**3/9 - i**2/2 + 2*i/3 + 3. Factor x(z).
-(z + 1)*(5*z - 2)/3
Let j(x) be the first derivative of -7*x**5/10 + 2*x**4 - 11*x**3/6 + x**2/2 + 1. Factor j(n).
-n*(n - 1)**2*(7*n - 2)/2
Let z = 2/15 + 6/5. Factor -z*w + 1/3*w**2 + 4/3.
(w - 2)**2/3
Let p(w) be the third derivative of w**8/84 - 2*w**7/105 - w**6/30 + w**5/15 - 2*w**2. Let p(b) = 0. What is b?
-1, 0, 1
Let a(q) be the third derivative of q**8/6720 - q**7/2520 - q**4/6 + 2*q**2. Let l(u) be the second derivative of a(u). Factor l(p).
p**2*(p - 1)
Let j(u) be the first derivative of -1/90*u**5 + 1/36*u**4 - 1/2*u**2 + 0*u**3 + 0*u - 2. Let m(a) be the second derivative of j(a). Factor m(l).
-2*l*(l - 1)/3
Let u(n) be the first derivative of -n**4/18 + 14*n**3/27 - 5*n**2/3 + 2*n + 44. Factor u(v).
-2*(v - 3)**2*(v - 1)/9
Suppose r + 5 - 2 = 0, 4*r - 3 = -3*f. Determine n so that -1/5*n**f - 1/5*n - 6/5*n**3 - 4/5*n**2 + 0 - 4/5*n**4 = 0.
-1, 0
Let s(n) = -n**3 - 5*n**2 + 5*n - 6. Let i be s(-6). Let m be (2/5)/((-36)/(-20)). Suppose -2/9*v**5 + 0*v**2 + i*v**4 + 4/9*v**3 - m*v + 0 = 0. What is v?
-1, 0, 1
Factor -1 - 1/4*h**3 - 1/2*h**2 + 7/4*h.
-(h - 1)**2*(h + 4)/4
Let s = 17 - 17. Let f(m) be the first derivative of 0*m**3 + 1 - 1/4*m**4 + 0*m + s*m**2. Factor f(l).
-l**3
Factor -2*i**3 - 1 + 4 + 8*i**3 - 3*i - 3*i**3 - 3*i**2.
3*(i - 1)**2*(i + 1)
Solve 103 + 8*l - 103 + 4*l**2 = 0 for l.
-2, 0
Let g(r) be the first derivative of 5*r**4/2 + 16*r**3/3 + 3*r**2 - 16*r + 1. Let k(b) = -3*b**3 - 5*b**2 - 2*b + 5. Let w(x) = 5*g(x) + 16*k(x). Factor w(n).
2*n*(n - 1)*(n + 1)
Let p be ((-9)/5)/((-14)/595). Let j = 93 + -57. Determine l, given that -j*l - p*l**3 + 27*l**4 + 159/2*l**2 + 6 = 0.
1/2, 2/3, 1
Let s(o) be the third derivative of o**5/5 + 3*o**4/8 + 22*o**2. Factor s(a).
3*a*(4*a + 3)
Suppose -3 = -0*b + b, -4*i + b = -11. Let y(r) be the first derivative of 1/6*r**i + 1/3*r + 1/15*r**5 - 2/9*r**3 - 1/6*r**4 + 1 + 1/18*r**6. Factor y(m).
(m - 1)**2*(m + 1)**3/3
Factor 1/2*x - 1/4*x**2 + 3/4.
-(x - 3)*(x + 1)/4
Suppose 0 = -3*z - 2*c + 25, c + 3*c + 20 = 4*z. Suppose -z*w = -3*w. Find u such that 0 + 0*u**2 + w*u**4 - 4/11*u**3 + 2/11*u**5 + 2/11*u = 0.
-1, 0, 1
Factor 120/13*n + 20/13*n**3 - 2/13*n**4 - 72/13 - 74/13*n**2.
-2*(n - 3)**2*(n - 2)**2/13
Suppose 2/9*s**4 - 4/9*s**2 + 0*s + 0 + 2/9*s**3 = 0. Calculate s.
-2, 0, 1
Let r(x) be the third derivative of 0 + 1/90*x**5 - 1/3*x**3 + 8*x**2 - 1/18*x**4 + 0*x. Let r(c) = 0. What is c?
-1, 3
Let r(g) be the first derivative of g**6/6 - g**4/2 + g**2/2 - 2. Let r(w) = 0. Calculate w.
-1, 0, 1
Let y(f) be the third derivative of 1/330*f**6 + 0*f**5 - 1/66*f**4 - 5*f**2 + 0*f + 1/33*f**3 - 1/1155*f**7 + 0. Factor y(g).
-2*(g - 1)**3*(g + 1)/11
Let j(b) = -b + 6. Let x be j(3). Let g(w) be the second derivative of 1/3*w**2 - 1/12*w**4 - 5/18*w**x + 0 + w. Factor g(c).
-(c + 2)*(3*c - 1)/3
Let t(l) be the second derivative of l**5/10 - l**4/6 - 2*l**3/3 + 9*l. Factor t(a).
2*a*(a - 2)*(a + 1)
Let i(t) = -4*t + 8. Let a be i(2). What is p in p**2 + 0*p**3 - 1/3*p**4 + a - 2/3*p = 0?
-2, 0, 1
Let b = -16 + 22. Suppose p - 6 = 3*z + b, -4 = z. Solve p + 2/7*o**3 + 4/7*o**2 + 2/7*o = 0 for o.
-1, 0
Let z = 2 - -1. Suppose 6 = 2*l + 4*b + 24, 0 = -z*l - b - 7. Let a(g) = 5*g**2 + 16*g. Let v(d) = -d + 1. Let m(o) = l*a(o) - 4*v(o). Factor m(x).
-(x + 2)*(5*x + 2)
Suppose 2*x + 4*n + 4 = 0, -3*x + 4*n = -3 - 1. Let j be 49/(-154) + 1/2. Factor 2/11*w + x + j*w**2.
2*w*(w + 1)/11
Suppose -2*y - 1 = 4*q - 5, -2*y + 9 = 3*q. Solve 0*d**3 + d**4 + 0*d**3 - 4*d + 3*d**4 + y*d**2 - 12*d**3 = 0.
0, 1
Suppose 22*s - 21*s = 0. Solve 2/5*v**3 + s + 0*v + 0*v**2 + 2/5*v**4 = 0.
-1, 0
Factor 0 + 0*x + 3/2*x**3 + 3/4*x**4 + 3/4*x**2.
3*x**2*(x + 1)**2/4
Let p be 6/(((-21)/2)/(-7)). Let v(s) be the third derivative of 1/40*s**6 + 0*s + 0*s**3 + 0 + 1/2*s**p + 5*s**2 + 1/5*s**5. Factor v(j).
3*j*(j + 2)**2
Suppose 2*x + 2*b - 3 = 1, -b = -3*x + 14. What is m in 8/9*m**2 + 0 + 2/3*m**3 - 2/9*m**5 - 4/9*m**x - 8/9*m = 0?
-2, 0, 1
Determine l, given that 15/2*l**3 - 7/2*l**2 + 2*l**5 + 0 + 1/2*l - 13/2*l**4 = 0.
0, 1/4, 1
Suppose 0 = 3*u - 5*s - 21, 4*s - 4 = -16. Let d(a) be the first derivative of -1/3*a**u + 10/9*a**3 - 1 + 8/15*a**5 - 4/3*a**4 + 0*a. Factor d(p).
2*p*(p - 1)*(2*p - 1)**2/3
Let w be (-2 - 57/(-33))/(6/(-4)). Determine y so that 0*y + 0 + w*y**2 + 2/11*y**3 = 0.
-1, 0
Let q = 61/3 + -19. Factor 2/3 + 2/3*t**2 + q*t.
2*(t + 1)**2/3
Let l(d) be the third derivative of -3*d**8/448 - d**7/35 + d**6/32 + 3*d**5/8 + 7*d**4/8 + d**3 - 18*d**2. What is f in l(f) = 0?
-2, -1, -2/3, 2
Let s = -110 - -331/3. Determine q so that s*q**2 + 0 + 1/3*q = 0.
-1, 0
Suppose 0*s - 28 = 7*s. Let q(x) be the second derivative of x**4/6 - x**3 + x**2/2 + x. Let m(p) = 2*p**2 - 6*p. Let z(r) = s*q(r) + 3*m(r). Factor z(d).
-2*(d - 2)*(d - 1)
Let z(a) be the first derivative of 8*a**3/3 + 4*a**2 + 2*a + 7. Factor z(q).
2*(2*q + 1)**2
Let k(z) = -5*z**3 + 2*z**2 - z - 2. Let a(o) = 4*o**3 - 3*o**2 + 2*o + 2. Let u(w) = 4*a(w) + 3*k(w). Let i be u(5). Factor t**3 + t + 2*t**i + t - 2*t + t.
t*(t + 1)**2
Let w(y) = -y - 14. Let g be w(-14). Let a(f) be the second derivative of 0*f**3 + g - f**2 + 1/6*f**4 - 2*f. Let a(s) = 0. What is s?
-1, 1
Let x(r) = -r**4 - r**3 - r**2 - r. Let g(t) = -8*t**4 + 11*t**3 - 16*t**2 - 8*t. Let w(v) = -g(v) + 4*x(v). Factor w(z).
z*(z - 2)**2*(4*z + 1)
Let v(i) be the second derivative of i**4/36 + i**3/3 + 4*i**2/3 + 21*i. Determine w, given that v(w) = 0.
-4, -2
Let x(b) be the third derivative of b**9/2520 + b**8/3360 - b**4/12 - 3*b**2. Let z(r) be the second derivative of x(r). Find w, given that z(w) = 0.
-1/3, 0
Let c(h) be the second derivative of 5*h**7/49 - 41*h**6/105 + h**5/5 + 10*h**4/21 - 8*h**3/21 - 29*h. Let c(i) = 0. What is i?
-2/3, 0, 2/5, 1, 2
Suppose 7 + 2 = -3*v. Let b be 8/2*v/(-6). Suppose 2*p**3 - p**3 - 2*p**b + p**3 = 0. Calculate p.
0, 1
Let h(g) be the first derivative of 5*g**6/24 - 3*g**5/4 + 5*g**4/16 + 5*g**3/4 - 5*g**2/4 - 1. Determine v, given that h(v) = 0.
-1, 0, 1, 2
Let w(k) be the first derivative of k**4/36 - k + 1. Let m(f) be the first derivative of w(f). Let m(q) = 0. Calculate q.
0
Let j(u) be the second derivative of -u**6/480 + u**5/120 - u**4/96 + u**2/2 - 3*u. Let h(p) be the first derivative of j(p). Let h(m) = 0. What is m?
0, 1
Let k be (0 + 0)*(-1 + 2). Factor k*z**2 - 1/6*z**4 + 0 + 0*z + 1/6*z**3.
-z**3*(z - 1)/6
Let p be 84/(-490)*(-40)/6. Find g such that 2/7 - p*g**2 - 6/7*g = 0.
-1, 1/4
Let s(j) be the third derivative of -7*j**5/570 + 4*j**4/57 - 4*j**3/57 + 19*j**2. Suppose s(c) = 0. What is c?
2/7, 2
Let h(q) be the third derivative of 1/36*q**4 + 0*q + 0 - 1/180*q**6 + 0*q**3 - 1/90*q**5 - 9*q**2 + 1/315*q**7. Solve h(l) = 0 for l.
-1, 0, 1
Let n be 142/(-195) + (-6)/(-9). Let i = n - -686/