.
2*h**3*(h - 1)*(h + 1)/5
Let u be 1*(-6)/2*1. Let l be u*(2 + (-64)/30). Suppose -l - 2/5*o**4 + 0*o + 0*o**3 + 4/5*o**2 = 0. Calculate o.
-1, 1
Let u(c) be the third derivative of c**7/105 - c**5/10 + c**4/6 - 7*c**2. Factor u(w).
2*w*(w - 1)**2*(w + 2)
Suppose 0 = -5*z + 9*z + 5*z. Let r be ((-15)/(-50))/((-3)/(-4)). Factor 2/5*m - r*m**2 + z.
-2*m*(m - 1)/5
Let w(m) be the second derivative of -m**6/1620 + m**4/108 + 2*m**3/3 + 8*m. Let j(c) be the second derivative of w(c). Determine y, given that j(y) = 0.
-1, 1
Let h(t) be the third derivative of 7*t**5/30 + 3*t**4/4 + 2*t**3/3 + 8*t**2. Factor h(f).
2*(f + 1)*(7*f + 2)
Let i = 18 - 6. Suppose 2*d + 3*d - g = -4, -i = -4*d - 3*g. Factor 0 - 2/9*q**3 + 2/9*q + d*q**2.
-2*q*(q - 1)*(q + 1)/9
Suppose t - 7 + 4 = 0. Factor t*q**2 - 3*q**2 + q**2.
q**2
Suppose -2*z + 2 + 2 = 0. Suppose z*l - 7 + 1 = 0. Determine i, given that i + 1/3 - i**4 + 2/3*i**2 - 1/3*i**5 - 2/3*i**l = 0.
-1, 1
Suppose 0 = -x - 3 + 7. Solve 2/5*t**3 + 0 - 7/5*t**x - 2/5*t + 7/5*t**2 = 0 for t.
-1, 0, 2/7, 1
Let w(t) be the second derivative of 0 + 0*t**3 - t - 1/9*t**2 + 1/54*t**4. Factor w(a).
2*(a - 1)*(a + 1)/9
Let j be (4/(-9))/(-1) + 0. Find q such that j - 4/9*q**2 + 2/9*q - 2/9*q**3 = 0.
-2, -1, 1
Let g(k) be the second derivative of 0*k**4 + 0*k**2 + 0*k**6 + 0 + 0*k**5 - 2/21*k**7 - k + 0*k**3. Factor g(q).
-4*q**5
Suppose j = 4*j + 5*k - 10, 0 = 2*k + 2. Let t be 9/(-3) - j*-1. Factor 0 + 2/7*l**t - 2/7*l.
2*l*(l - 1)/7
Let q(z) = z**2 + 2*z. Let o(r) = -3*r**2 - 2*r**2 + 2*r**2 - 4*r. Let w(k) = -k**3 + 10*k**2 - 9*k - 5. Let l be w(9). Let c(m) = l*q(m) - 2*o(m). Factor c(a).
a*(a - 2)
Let m(r) = -r**3 + 2*r**2 - 2*r + 1. Suppose 0 = 4*d - 6 + 2. Let q be m(d). Let t + 1/2*t**2 - 1/2*t**3 + q = 0. What is t?
-1, 0, 2
Let i(d) = 0*d**2 - d**2 - 9 - 4*d + 12*d + 20. Let z be i(9). Factor -1/2*a + 0 - 1/4*a**z.
-a*(a + 2)/4
Factor 2*w**3 - 3 - 2*w**4 + 2*w**2 + 6 - 2*w - 3.
-2*w*(w - 1)**2*(w + 1)
Let d(n) = 13*n**2 + 5*n + 7. Let r(p) = 9*p**2 + 3*p + 5. Let m(f) = f + 17. Let g be m(-10). Let b = -15 + 10. Let x(v) = b*d(v) + g*r(v). Solve x(i) = 0.
-2, 0
Let k(w) = -4*w**5 - 2*w**2. Let t(c) = c**5 - 4*c**3 - c**2 + 3*c**5 + 3*c**3 - 5*c**5. Suppose -8*x + 3*x - 5 = 0. Let f(n) = x*k(n) + 2*t(n). Factor f(h).
2*h**3*(h - 1)*(h + 1)
Let r(b) be the second derivative of 6*b + 1/42*b**4 - 1/105*b**6 + 0 + 0*b**2 + 0*b**5 + 0*b**3. Suppose r(s) = 0. What is s?
-1, 0, 1
Let m(z) = -3*z**2 - 5. Let y be 0 + -5 - (-4 + 1). Let x(b) = b**2 + 2. Let j(f) = y*m(f) - 5*x(f). Factor j(v).
v**2
Factor 0 + 1/4*o**2 - 1/4*o**4 - 1/4*o + 1/4*o**3.
-o*(o - 1)**2*(o + 1)/4
Let l(v) = -v. Let t(n) = -3*n**2 + 33*n. Let h(a) = 6*l(a) - t(a). Determine c, given that h(c) = 0.
0, 13
Let w = -5 - -59. Suppose y - w = -2*y. Factor -y - 2*x**2 + 12 + 6 + 6*x.
-2*x*(x - 3)
Find l such that -12/5*l**3 + 16/5*l**2 + 2/5*l**5 + 0*l**4 + 0 - 6/5*l = 0.
-3, 0, 1
Let w(i) be the third derivative of 0*i**3 + 2*i**2 + 1/60*i**6 + 0 + 0*i**5 + 0*i + 0*i**4 - 1/105*i**7. Factor w(o).
-2*o**3*(o - 1)
Let o(i) be the third derivative of -6*i**2 - 1/90*i**5 + 0*i - 1/18*i**4 + 0*i**3 + 0. Suppose o(c) = 0. What is c?
-2, 0
Let y(c) = 2*c**2 - c - 4. Let m(w) = -w**2 + w + 1. Let n(s) = 6*m(s) + 2*y(s). Factor n(g).
-2*(g - 1)**2
Let d be 12/15*10/(-22). Let i = 3/22 - d. Factor 1/4*j**4 + i*j**3 + 0*j + 1/4*j**2 + 0.
j**2*(j + 1)**2/4
Let y be (-4)/(-7) + 17/(-42). Factor -y*w + 1/6*w**3 + 0 - 1/6*w**4 + 1/6*w**2.
-w*(w - 1)**2*(w + 1)/6
What is p in 8/7*p + 0 - 8/7*p**2 - 6/7*p**3 = 0?
-2, 0, 2/3
Let o(m) be the second derivative of m**8/6720 - m**4/12 + 3*m. Let c(a) be the third derivative of o(a). Factor c(w).
w**3
Solve -12*g + 0 - 9*g**2 - 3/2*g**3 = 0 for g.
-4, -2, 0
Let h = 10/19 - 367/950. Let m(p) be the second derivative of -p + 1/5*p**3 - 2/5*p**2 + 1/25*p**6 - h*p**5 + 1/10*p**4 + 0. Factor m(u).
2*(u - 1)**3*(3*u + 2)/5
Let y(s) be the third derivative of -1/15*s**3 + s**2 - 1/75*s**5 + 0*s + 0 + 1/600*s**6 + 1/24*s**4. Find p, given that y(p) = 0.
1, 2
Let w(h) be the first derivative of 10*h**3/3 + 2*h**2 + 3. Find c such that w(c) = 0.
-2/5, 0
Factor -15/4*d**2 + 3/2*d + 3/2*d**3 + 0.
3*d*(d - 2)*(2*d - 1)/4
Factor -4*n**3 + 4*n**3 + 2*n**3.
2*n**3
Let d = 98 - 98. Let m(l) be the second derivative of 0*l**2 - 1/60*l**6 + 1/24*l**4 - 3*l + d*l**5 + 0*l**3 + 0. Suppose m(f) = 0. What is f?
-1, 0, 1
Let n(z) = -9*z**3 - 12*z**2 + 3*z - 6. Let q(w) = -w**3 - w**2 + w - 1. Let v(r) = n(r) - 6*q(r). Find k, given that v(k) = 0.
-1, 0
Let m(j) = j**4 + 5*j**3 + 4. Let t(d) = d**4 + 14 - 9 + 9*d**3 - 3*d**3. Let l(k) = -5*m(k) + 4*t(k). Factor l(w).
-w**3*(w + 1)
Suppose 3*l - 2*v + 4 = 0, -3*l + 1 = -4*v + 9. Suppose 5*u**3 - 8*u - 3*u**2 + 0 + 2*u**4 + l*u**4 + 4 = 0. Calculate u.
-2, 1/2, 1
Determine l, given that 11*l**3 - 4*l**2 - 6*l**3 - 8*l**3 - l**3 = 0.
-1, 0
Let k(g) be the first derivative of 0*g + 0*g**2 - 7/22*g**4 - 9 + 2/11*g**5 + 4/33*g**3. What is h in k(h) = 0?
0, 2/5, 1
Factor 10*h**2 - 2*h**2 + 5*h - 10 + 13*h**2 - 6*h**2.
5*(h + 1)*(3*h - 2)
Let j(z) be the first derivative of -4*z**3/3 + 4*z**2 + 12*z - 4. Factor j(m).
-4*(m - 3)*(m + 1)
Let p = 2 + 3. Find v such that -v**p - v**5 + 2*v**4 + 0*v**5 = 0.
0, 1
Suppose 9*f - 6 = 7*f. Factor -1 - g**5 - 3*g**2 + 3*g**2 - 10*g**f + 4*g - 5*g**4 - 9*g - 10*g**2.
-(g + 1)**5
Let y(b) be the second derivative of -b**8/336 + b**7/105 - b**5/30 + b**4/24 - b**2/2 - 3*b. Let a(o) be the first derivative of y(o). Let a(v) = 0. What is v?
-1, 0, 1
Suppose 2*r + 0*r + 2 = 0. Let c be 2 + (42/(-15) - r). Determine a so that -2*a**2 - 1/5 + 2*a**3 - a**4 + a + c*a**5 = 0.
1
Let w be 6/(-2) - -1 - -3. Let y(r) = r**2. Let g(l) = -5*l**3 - 9*l**2 - 9*l - 2. Let t(f) = w*g(f) - 3*y(f). Factor t(j).
-(j + 1)**2*(5*j + 2)
Let d(s) be the second derivative of s**8/3360 - s**6/360 - 5*s**4/12 + 5*s. Let g(t) be the third derivative of d(t). What is z in g(z) = 0?
-1, 0, 1
Let w(h) be the first derivative of 1 + 4/3*h**3 - h**2 + 1/10*h**5 + 0*h - 5/8*h**4. Factor w(l).
l*(l - 2)**2*(l - 1)/2
Suppose 0 = 121*g - 66*g. Factor g - 8/3*w + 4/3*w**2 + 4/3*w**3.
4*w*(w - 1)*(w + 2)/3
Let n(s) be the first derivative of -1/3*s**3 + 0*s**2 + 3 + s. Factor n(z).
-(z - 1)*(z + 1)
Let t(j) be the third derivative of -j**10/75600 - j**9/37800 - j**4/24 - 3*j**2. Let k(r) be the second derivative of t(r). Factor k(y).
-2*y**4*(y + 1)/5
Suppose 2*q - 2*x = -x + 5, -4*q + 5*x + 25 = 0. Determine w so that q + 0*w - 4/3*w**3 - 2/3*w**2 - 2/3*w**4 = 0.
-1, 0
Let l(t) be the third derivative of -t**6/24 - t**5/3 - 5*t**4/6 - t**2 + 13*t. Determine z, given that l(z) = 0.
-2, 0
Let s be (-8)/18*((-1827)/98)/29. What is f in -2/7*f**2 - 2/7*f + s + 2/7*f**3 = 0?
-1, 1
Suppose 4 = -c - 2*p, -4*c - 5 = -2*p - 19. Suppose -i - 3*t - c*t = -7, 5*t = 5. Factor -a**3 - 3*a**3 - 2*a**4 - a**i - a**2.
-2*a**2*(a + 1)**2
Let l = 36/77 + -2/7. Let l*v**2 - 2/11 + 2/11*v**3 - 2/11*v = 0. What is v?
-1, 1
Let c(l) be the second derivative of 3*l + 1/6*l**3 + 1/12*l**4 + 0 + 0*l**2. Let c(z) = 0. What is z?
-1, 0
Factor 2*a**4 + 0*a + 0 + 4/7*a**2 + 18/7*a**3.
2*a**2*(a + 1)*(7*a + 2)/7
Let a be (2 + -1)*(-9)/3. Let u(w) = -w**2. Let q(n) = 6*n**2. Let x(l) = a*q(l) - 16*u(l). Factor x(m).
-2*m**2
Let x(a) be the second derivative of 0*a**3 + 1/24*a**4 - 1/30*a**5 - 3/2*a**2 - 1/40*a**6 + a + 0. Let m(p) be the first derivative of x(p). Factor m(r).
-r*(r + 1)*(3*r - 1)
Factor 0*o**3 - 2/11*o**4 + 0*o + 16/11*o**2 - 32/11.
-2*(o - 2)**2*(o + 2)**2/11
Suppose -2*d + 3 = -7. Let z(k) = -k**5 - k + 1. Let x(q) = -3*q**5 + 5*q**4 + 4*q**3 + q**2 - 5*q + 5. Let g(h) = d*z(h) - x(h). Solve g(l) = 0.
-1, -1/2, 0
Let q(u) be the first derivative of -2*u**5/5 + 3*u**4/8 + 5*u**3/6 - 3*u**2/4 - u/2 - 20. Let q(g) = 0. Calculate g.
-1, -1/4, 1
Let h(r) be the second derivative of -r**2 + 7*r + 0 + 0*r**3 + 1/8*r**4 - 1/40*r**5. Factor h(f).
-(f - 2)**2*(f + 1)/2
Suppose -4*p + 7 + 1 = 0. Factor i**3 + i**4 - i**2 + i + 0*i**2 - p*i**3.
i*(i - 1)**2*(i + 1)
Suppose 7 = -2*h - 21. Let o be h/(-4) - 3/2. Factor 1/5 - 1/5*c**o + 0*c.
-(c - 1)*(c + 1)/5
Factor 0*j + 0 - 8/15*j**3 + 2/15*j**4 - 2/3*j**2.
2*j**2*(j - 5)*(j + 1)