 2/13*w**2 + 0*w - 14/13*w**4.
2*w**2*(w - 1)**2*(3*w - 1)/13
Let z(x) be the second derivative of x**4/42 - 10*x**3/21 + 25*x**2/7 + 26*x. Solve z(g) = 0 for g.
5
Let m be (-25)/10 + (-1 - -5). Solve -m*r + 3/4 + 3/4*r**2 = 0.
1
Factor g**3 + 2*g**3 + 3*g**3 - 3*g**3 + 15*g + 6 + 12*g**2.
3*(g + 1)**2*(g + 2)
Let u(f) be the third derivative of f**5/60 + f**4/12 - f**3/2 - 50*f**2. Factor u(i).
(i - 1)*(i + 3)
Let d(k) be the first derivative of -4*k**3/3 - 12*k**2 - 36*k - 3. Factor d(n).
-4*(n + 3)**2
Let u(i) be the first derivative of -i**6/6 + 3*i**4/4 - 2*i**3/3 - 12. Factor u(z).
-z**2*(z - 1)**2*(z + 2)
Suppose -4*k = 4*a, 2*a + 4*k + 4 = k. Factor y**2 - 1/5*y**a - 3/5*y**3 + 1/5*y**5 + 0 - 2/5*y.
y*(y - 1)**3*(y + 2)/5
Let t be (49/(-14)*(-2)/14)/1. Find d such that 1/2*d**5 - d**3 + 1/2*d**4 + t*d - d**2 + 1/2 = 0.
-1, 1
Factor 2/5*c**3 + 2/5 + 6/5*c + 6/5*c**2.
2*(c + 1)**3/5
Suppose 2*k + 28 = 4*k. What is v in -9 - v**4 - 8*v**3 - 8*v**2 + 0*v**2 - k*v**2 - 24*v = 0?
-3, -1
Let s = -17 - -20. Let -4 - n - 5*n - s*n - 4*n**2 + n = 0. Calculate n.
-1
Factor -2*l**2 + 18*l**2 + 3*l**3 - 6 - 3*l - 10*l**2.
3*(l - 1)*(l + 1)*(l + 2)
Let l = -15 - -19. Suppose -14*m + l = -12*m. Factor -1/5*h**m - 3/5*h - 2/5.
-(h + 1)*(h + 2)/5
Let d(c) be the first derivative of 3 + 1/14*c**4 + 2/7*c**3 + 0*c + 2/7*c**2. Let d(t) = 0. What is t?
-2, -1, 0
Let v(q) be the second derivative of q**8/16800 - q**6/1800 + q**4/4 + 2*q. Let m(p) be the third derivative of v(p). Let m(z) = 0. Calculate z.
-1, 0, 1
Let t be (-34)/119*(1 - 2). Determine f so that 6/7*f**2 + 2/7 - t*f**3 - 6/7*f = 0.
1
Factor 1/5*a**4 + 4/5*a**3 + 6/5*a**2 + 4/5*a + 1/5.
(a + 1)**4/5
Let h(y) = -y**3 + 11*y**2 - 9*y - 8. Let t be h(10). Factor 6/5 + 9/5*u + 3/5*u**t.
3*(u + 1)*(u + 2)/5
Let m(p) be the third derivative of p**8/21 - 8*p**7/21 + 37*p**6/30 - 32*p**5/15 + 13*p**4/6 - 4*p**3/3 - 6*p**2. Find x, given that m(x) = 0.
1/2, 1, 2
Let v = -2 + 0. Let o be (-4)/8 - 7/v. What is f in -4*f**2 - 2*f**4 + f**2 + f**o + f**2 - 5*f**3 = 0?
-1, 0
Factor 1/3*v**4 + 0*v**3 + 0 + 0*v - 1/3*v**2.
v**2*(v - 1)*(v + 1)/3
Let c(o) be the third derivative of o**9/75600 - o**7/12600 - o**4/4 - 3*o**2. Let r(n) be the second derivative of c(n). Factor r(u).
u**2*(u - 1)*(u + 1)/5
Let g(o) be the first derivative of 2*o**5/15 - 2*o**3/3 + 2*o**2/3 + 11. Factor g(c).
2*c*(c - 1)**2*(c + 2)/3
Let z(l) be the third derivative of -1/3*l**3 + 0 - 1/30*l**6 + 0*l**5 - 2*l**2 + 0*l + 1/6*l**4 + 1/105*l**7. Factor z(j).
2*(j - 1)**3*(j + 1)
Let u(f) be the first derivative of 5*f**3/3 - 5*f**2/2 - 30*f - 18. Factor u(x).
5*(x - 3)*(x + 2)
Let c(s) = -3*s**5 + 3*s**4 - 2*s**3 - 3*s**2. Let x(j) = 3*j**5 - 3*j**4 + 3*j**3 + 3*j**2. Let d be 42/8 + 2/(-8). Let g(b) = d*x(b) + 6*c(b). Factor g(y).
-3*y**2*(y - 1)**2*(y + 1)
Let h = -10 + 12. Find w, given that 6*w**2 - 3*w**2 + 3*w**h + 8*w - 2*w**2 = 0.
-2, 0
Let j(a) be the second derivative of a**5/50 + a**4/6 + 8*a**3/15 + 4*a**2/5 - 22*a. Factor j(i).
2*(i + 1)*(i + 2)**2/5
Let x(g) = -3*g. Let a be x(-1). Suppose -a*k + 3*y = -9, -5*y - 26 = 3*k - 11. Solve -n**2 + k*n**4 + n - n**5 - n**2 - n**4 + 3*n**4 = 0.
-1, 0, 1
Let j(k) = 2*k**2. Let a be j(1). Find x such that -8*x + 3 - 2*x**2 + 5 + 3*x**a + x**2 = 0.
2
Let n(q) be the first derivative of -q**4/14 - 4*q**3/7 - 12*q**2/7 - 16*q/7 + 4. Factor n(y).
-2*(y + 2)**3/7
Let x be ((-4)/4)/(-2 - 14/(-8)). Suppose 39 = 5*h + 14. Factor 1/3*y**h + 1/3*y + 0*y**x + 0 - 2/3*y**3 + 0*y**2.
y*(y - 1)**2*(y + 1)**2/3
Let f(t) = t**2 - 7*t - 6. Let u be f(8). Let i be 3/(((-3)/(-4))/1). Determine b so that 2*b**5 - 2*b**u - 2*b + 3*b**4 - 4*b**4 + 5*b**i - 2*b**2 = 0.
-1, 0, 1
Let l be (2/4)/(2/40). Let x = 13 - l. Suppose 0 + 2/5*r**x + 2/5*r**5 + 0*r**2 + 4/5*r**4 + 0*r = 0. Calculate r.
-1, 0
Let f be (-4)/((-72)/40 - -1). Suppose -2/7*d + 4/7*d**3 + 4/7*d**2 - 2/7 - 2/7*d**f - 2/7*d**4 = 0. What is d?
-1, 1
Let a(n) be the third derivative of n**5/75 + 2*n**4/3 + 40*n**3/3 - 6*n**2. Factor a(y).
4*(y + 10)**2/5
Let d(n) be the second derivative of -n**4/4 - 2*n**3 - 6*n**2 - 30*n. Factor d(j).
-3*(j + 2)**2
Let n be 0 - -3 - 1 - 12. Let q be 5/4*(-2)/n. Factor -q - g - 3/2*g**2 - 1/4*g**4 - g**3.
-(g + 1)**4/4
Factor -26/3*g**3 + 4*g**4 - 2/3*g**5 + 0 + 8*g**2 - 8/3*g.
-2*g*(g - 2)**2*(g - 1)**2/3
Let n(m) = m**2 - m. Let x(o) be the second derivative of -o**4/3 + o**3/6 + 6*o**2 - 3*o. Let c(h) = -n(h) - x(h). Factor c(l).
3*(l - 2)*(l + 2)
Let t = 20 - 20. Let v(g) be the third derivative of 1/480*g**6 + t*g - 1/80*g**5 - 1/24*g**3 - 2*g**2 + 0 + 1/32*g**4. Factor v(o).
(o - 1)**3/4
Suppose 0 = 3*l + 2*g - 22, 0*l + 3*g = -5*l + 35. Factor -2*k**3 + 2*k + 0*k + 4*k - l.
-2*(k - 1)**2*(k + 2)
Let 3*u**2 - 2*u**3 - 10*u + 12*u - 2*u**4 - u**2 = 0. Calculate u.
-1, 0, 1
Factor -1/2*q**5 - 7/2*q**4 - 9*q**3 - 4*q - 10*q**2 + 0.
-q*(q + 1)*(q + 2)**3/2
Let k(f) be the first derivative of f**8/105 - f**7/35 + f**6/40 - f**5/120 - f**3/3 + 2. Let n(y) be the third derivative of k(y). Factor n(g).
g*(g - 1)*(4*g - 1)**2
Let h(c) be the first derivative of -c**5/30 + 3*c + 3. Let b(p) be the first derivative of h(p). Find x such that b(x) = 0.
0
Let i(m) be the third derivative of m**5/120 + m**4/12 + m**3/3 - 12*m**2. What is t in i(t) = 0?
-2
Let v(f) be the first derivative of -f**6/6 + 4*f**5/5 - f**4 - 2*f**3/3 + 5*f**2/2 - 2*f - 3. Factor v(o).
-(o - 2)*(o - 1)**3*(o + 1)
Let a(r) = 5*r**4 - 11*r**3 - 9*r**2 + 19*r - 10. Let s(y) = -70*y**4 + 155*y**3 + 125*y**2 - 265*y + 140. Let u(t) = 85*a(t) + 6*s(t). Factor u(d).
5*(d - 1)**3*(d + 2)
Let h(l) be the third derivative of l**5/30 - 11*l**2. Find x such that h(x) = 0.
0
Let i(h) be the first derivative of -3*h**4/4 + 5*h**3 - 12*h**2 + 12*h - 4. Let i(x) = 0. What is x?
1, 2
Let c(n) = -2*n. Let x(g) = g**2 + 24*g. Let a(o) = 28*c(o) + 4*x(o). Factor a(d).
4*d*(d + 10)
Let x = -1093 - -1097. Suppose 0*u + 2/5*u**x - 4/5*u**2 + 0 - 2/5*u**3 = 0. Calculate u.
-1, 0, 2
Let q(x) be the first derivative of -5*x**3/3 + 35*x**2/2 + 40*x + 22. Factor q(u).
-5*(u - 8)*(u + 1)
Let j(k) be the third derivative of -k**8/20160 + k**7/1680 - k**6/360 + k**5/30 - 4*k**2. Let m(x) be the third derivative of j(x). Factor m(z).
-(z - 2)*(z - 1)
Let y be (-9)/(-2)*2/3 + -1. Factor -2/5*a + 2/5*a**y + 0.
2*a*(a - 1)/5
Let q(n) be the second derivative of -n**5/330 - n**4/44 - n**2/2 + 7*n. Let d(t) be the first derivative of q(t). Solve d(l) = 0.
-3, 0
Suppose -10 = -2*w, 0 = -3*d - 2*w - w + 30. Let 7*l**d + 36*l - 24*l**4 + 24*l**2 + 5*l**5 - 32*l**3 - 16*l**5 = 0. What is l?
-3, -1, 0, 1
Let g(h) be the first derivative of 4*h**3/3 - 5*h**2 + 4*h + 20. Factor g(r).
2*(r - 2)*(2*r - 1)
Let o(i) be the first derivative of -i**6/24 + 3*i**5/5 - 57*i**4/16 + 67*i**3/6 - 39*i**2/2 + 18*i - 23. What is m in o(m) = 0?
2, 3
Let r(l) be the third derivative of l**5/60 + l**4/6 + 5*l**2. What is f in r(f) = 0?
-4, 0
Let q(z) be the second derivative of -z**5/80 - z**4/48 + z**3/12 - 43*z. Let q(j) = 0. What is j?
-2, 0, 1
Let o(p) be the third derivative of 0 + 1/72*p**4 + p**2 + 0*p + 1/90*p**5 + 0*p**3 + 0*p**6 - 1/1008*p**8 - 1/315*p**7. Factor o(g).
-g*(g - 1)*(g + 1)**3/3
Let l(c) = c**3 - 6*c**2 + c - 3. Let g be l(6). Factor -6/5*d**2 - 2/5 - 2/5*d**g - 6/5*d.
-2*(d + 1)**3/5
Let g = -173 - -178. Factor 20/7*v**3 + 10/7*v + 10/7*v**4 + 20/7*v**2 + 2/7 + 2/7*v**g.
2*(v + 1)**5/7
Let x(c) = c**2 - 3. Let d be x(3). Suppose y = -i + 4 - 5, 0 = 2*i + d. Suppose -y*a**5 + a**5 + 0*a**5 + a**3 = 0. Calculate a.
-1, 0, 1
Suppose -h = 4*t - 2, -2*t = t - 4*h - 11. Let q be 2/(-4)*(t + -1). Solve q*c - c**2 - 3*c**2 + 2*c + 2*c**2 = 0 for c.
0, 1
Let x be 2 + (-6 - 4/2). Let z = x - -9. Factor 0*a**2 + 0 + 1/4*a - 1/4*a**z.
-a*(a - 1)*(a + 1)/4
Determine t, given that -3/5*t**5 - 3/5*t - 18/5*t**3 - 12/5*t**2 + 0 - 12/5*t**4 = 0.
-1, 0
Let y be 2/(-1) + 4 - -2. Let g be (0 - 0) + 1*5. Determine s, given that s**5 - 6*s**g + 4*s**5 + s**y = 0.
0, 1
Let r(m) be the second derivative of -m**7/1680 - m**6/360 - m**5/240 + m**3/3 - m. Let g(p) be the second derivative of r(p). Factor g(a).
-a*(a + 1)**2/2
Let l be (-2008)/(-288) + (3 - (-29)/(-9)). Factor -45/4*p**2 - l*p**5 +