(-4). Factor l + 3*l + 2*l**2 + 0*l + v*l + 2.
2*(l + 1)**2
Let x = -60 - -60. Let o(s) be the second derivative of -s + s**5 + 0*s**2 + x + 13/36*s**4 + 1/18*s**3 + 56/45*s**6 + 32/63*s**7. Solve o(u) = 0 for u.
-1, -1/4, 0
Let g(l) = 7*l**2 - 2*l - 2. Let j be g(-1). Find x, given that -12*x + 3 - 12 - 18*x**2 - 16*x**3 + j - 6*x**2 = 0.
-1/2
Let d(x) = -x**2 - 3*x + 4. Let z be d(-4). Suppose -3*w = -2*g - 17, 0 = -4*w - z*w + 5*g + 32. Factor -4/5*h**4 - 2/5*h + 0*h**w + 2/5*h**5 + 0 + 4/5*h**2.
2*h*(h - 1)**3*(h + 1)/5
Let h(j) = -j**2 + 3*j - 2. Let y be h(3). Let m = 2 - y. Factor o - 4*o**2 + 7*o**2 - m*o**2.
-o*(o - 1)
Let r = 840 + -2518/3. Find b, given that 0 - 4/3*b**3 + 0*b - r*b**2 - 2/3*b**4 = 0.
-1, 0
Let y(q) be the second derivative of -q**4/6 + 10*q**3/3 - 25*q**2 - 18*q. Factor y(t).
-2*(t - 5)**2
Let c(j) be the first derivative of 2*j**5/5 + j**4/2 - 4*j**3 - 4*j**2 + 16*j + 1. Factor c(w).
2*(w - 2)*(w - 1)*(w + 2)**2
Suppose -2*u - 8 = 0, 3*g = 3*u + 2*u + 29. Solve -6*t**g + 11*t**2 - 2*t - t**2 - 3*t + t = 0 for t.
0, 2/3, 1
Let l(g) = -g**2 + 4*g + 3. Let u = 8 - 6. Let p(a) = -2*a**2 - 8 + 1 - 9*a + 5*a**u. Let t(d) = 5*l(d) + 2*p(d). Determine o, given that t(o) = 0.
-1
Let o = 2690/21 - 128. Let t(r) be the first derivative of 0*r**2 - o*r**3 + 0*r + 1. Factor t(j).
-2*j**2/7
Let n be 180/(-48) + 2/(-8). Let y be n + 4 + (-1)/(-4). Find k, given that 3/4*k**2 + y - 3/4*k - 1/4*k**3 = 0.
1
Suppose -28*j**2 + 3 - 111*j + 35*j + 0 + 21 = 0. Calculate j.
-3, 2/7
Suppose -5*r + 31 = 21. Factor -14/5*m**2 + r*m + 4/5.
-2*(m - 1)*(7*m + 2)/5
Let m(y) = -y**4 + y**2 + 2*y + 2. Let t(j) = j**4 - j**3 - j**2 - 1. Let o(z) = -2*m(z) - 4*t(z). Determine f, given that o(f) = 0.
-1, 0, 1, 2
Let g(p) be the second derivative of -7*p**4/6 - 23*p**3/3 - 6*p**2 - 7*p. Suppose g(t) = 0. What is t?
-3, -2/7
Let x(v) be the first derivative of 4/5*v**3 + 0*v + 6/5*v**2 + 3/20*v**4 + 5. Factor x(r).
3*r*(r + 2)**2/5
Let g(m) be the second derivative of m**7/4410 + m**6/2520 + m**4/3 + 6*m. Let f(c) be the third derivative of g(c). Determine w so that f(w) = 0.
-1/2, 0
Let a(z) be the first derivative of -9*z**5/5 - 39*z**4/4 - 11*z**3 + 15*z**2/2 + 18*z - 19. Determine y so that a(y) = 0.
-3, -1, 2/3
Let t(c) be the third derivative of -c**8/840 + c**7/525 + c**6/150 - 10*c**2. Factor t(v).
-2*v**3*(v - 2)*(v + 1)/5
Let l(r) = r**3 - 5*r**2 + 2*r - 5. Let s be l(5). Solve v**2 + 3*v + 2*v**3 + 2*v**3 - v**3 + s*v**2 = 0.
-1, 0
Let y(c) be the second derivative of 0*c**4 + 1/10*c**6 + 0*c**5 + 0*c**2 + 2*c + 0*c**3 + 0. Find z such that y(z) = 0.
0
Suppose -3838*r**2 + 592*r - 13552*r**4 - 3137*r**3 - 154*r**2 + 14797*r**3 - 34 + 2 + 5324*r**5 = 0. Calculate r.
2/11, 1
Let x be (-2)/12 - 26/(-12). Find n, given that 4*n**x + 1/3*n**4 + 2*n**3 + 0 + 8/3*n = 0.
-2, 0
Let b be 5/(-1)*(-8)/10. Factor 28*i**b - 5*i**2 + 2*i - 8*i**2 + 0*i**4 + 13*i**3.
i*(i + 1)*(4*i - 1)*(7*i - 2)
Let r be (-4)/8*-10*(-2)/(-2). Factor 0 + 8*v**2 + 28*v**4 + 218/9*v**3 + 98/9*v**r + 8/9*v.
2*v*(v + 1)**2*(7*v + 2)**2/9
Let w(j) = -2*j**4 + 9*j**3 + 11*j**2 + 5*j - 5. Let c(m) = m**4 - 4*m**3 - 5*m**2 - 2*m + 2. Let g(i) = 5*c(i) + 2*w(i). Solve g(h) = 0 for h.
-1, 0, 3
Suppose 4*q**5 - 4*q**3 + 0*q**5 + 4*q**4 - q**2 - 3*q**2 = 0. Calculate q.
-1, 0, 1
Let a(b) be the first derivative of -1 - 2*b**2 + 1/3*b**3 + 4*b. Let a(r) = 0. What is r?
2
Let u(n) be the first derivative of -2*n**5/45 + n**4/9 - 2*n**2/9 + 2*n/9 + 28. Let u(s) = 0. Calculate s.
-1, 1
What is d in 16/9*d**3 + 2/9*d**4 + 0*d + 0 + 32/9*d**2 = 0?
-4, 0
Let s = 6/65 + 4/13. Suppose 2*w = 4*b + 8, 2*b - 3*w + 12 = -0*b. Let s*p**3 - 1/5*p**2 + b*p + 0 - 1/5*p**4 = 0. Calculate p.
0, 1
Let g(r) be the second derivative of r**6/225 + r**5/75 - r**4/30 - 4*r**3/45 + 4*r**2/15 - 24*r. Suppose g(d) = 0. Calculate d.
-2, 1
Let i(a) = a + 1. Let h = 7 + -8. Let f(q) = -2*q**2 + 6*q. Let z(o) = h*f(o) + 2*i(o). Find x such that z(x) = 0.
1
Let q be (-2 + 2)/(8 + -7). Let a(j) be the second derivative of -1/18*j**4 + 0 - 1/9*j**3 - 2*j + q*j**2. Determine d, given that a(d) = 0.
-1, 0
Let h(z) = 15*z**4 - 23*z**3 - 26*z**2 + 10*z + 2. Let a(k) = -30*k**4 + 47*k**3 + 53*k**2 - 19*k - 5. Let l(t) = 2*a(t) + 5*h(t). Factor l(q).
3*q*(q - 2)*(q + 1)*(5*q - 2)
Let n(l) = -l**3 - 6*l**2 + 5*l - 9. Let g be n(-7). Factor 2*u - u**2 + 5 - g + 0.
-u*(u - 2)
Let t = -25 + 30. Let u(y) be the second derivative of 3*y + 2/3*y**3 + 1/40*y**t - y**2 + 0 - 5/24*y**4. Factor u(p).
(p - 2)**2*(p - 1)/2
Let j(u) be the third derivative of -u**7/280 + u**6/240 + u**5/240 - 6*u**2. Determine g so that j(g) = 0.
-1/3, 0, 1
Let x(u) be the first derivative of u**8/1512 - u**7/945 + 3*u**2/2 + 2. Let z(n) be the second derivative of x(n). Suppose z(y) = 0. Calculate y.
0, 1
Let l(t) = 18*t**3 - 57*t**2 + 53*t - 14. Let m(s) = -36*s**3 + 114*s**2 - 105*s + 27. Let b(x) = 9*l(x) + 4*m(x). Factor b(w).
3*(w - 1)*(2*w - 3)*(3*w - 2)
Let r(s) be the first derivative of -8 + 5 - s**3 - 3 + 3*s. Factor r(c).
-3*(c - 1)*(c + 1)
Let y be 1/30*11/33. Let w(z) be the third derivative of -z**2 - 2/9*z**3 + y*z**5 - 1/36*z**4 + 0*z + 0. Factor w(c).
2*(c - 2)*(c + 1)/3
Let x(c) be the first derivative of -2*c**3/3 - 3*c**2 - 4*c + 13. Factor x(h).
-2*(h + 1)*(h + 2)
Suppose m + 21 = 5*v - 13, 0 = 4*m - 4. Solve 2*a**2 - 3*a**3 + v*a**3 + a**4 + a**4 = 0 for a.
-1, 0
Suppose -3*t + 2*w + 17 = 0, 2*t + t - 5*w - 29 = 0. Factor -v + v - v**t - v**2.
-v**2*(v + 1)
Let f(y) be the second derivative of -3*y**5/20 - 5*y**4/4 - y**3 + 12*y**2 + 9*y. Factor f(j).
-3*(j - 1)*(j + 2)*(j + 4)
Factor 42 + 6*s**4 - 42 + 44*s**3 + 14*s**2.
2*s**2*(s + 7)*(3*s + 1)
Let m(t) be the second derivative of -t**6/90 - t**5/30 - t**4/36 - 2*t. Factor m(z).
-z**2*(z + 1)**2/3
Let f = 0 - -14. Suppose -2*q + f = 2*a - 6*q, -2*q - 4 = 0. Solve 2*b**4 - 5*b**4 - 7*b**5 + 4*b**5 + 3*b**2 + a*b**3 = 0 for b.
-1, 0, 1
Let d(k) be the third derivative of -k**6/30 - k**5/10 - k**4/12 + 11*k**2. Solve d(i) = 0.
-1, -1/2, 0
Let x be ((-30)/(-100))/(18/15). Factor 3/2*v + 9/4 + x*v**2.
(v + 3)**2/4
Solve -681*i**2 - 17*i - 37*i + 684*i**2 + 243 = 0.
9
Let l(c) = -45*c**3 - 17*c**2 + 11*c - 3. Let i(s) = -46*s**3 - 18*s**2 + 10*s - 2. Let k(n) = -3*i(n) + 2*l(n). Solve k(r) = 0.
-2/3, 0, 1/4
Let b(x) be the first derivative of -6*x**3 - 8*x**2/5 + 8*x/5 - 11. Factor b(p).
-2*(5*p + 2)*(9*p - 2)/5
Let x(r) be the third derivative of -r**8/168 - r**7/105 + r**6/12 + r**5/30 - 2*r**4/3 + 4*r**3/3 - 12*r**2. Determine m so that x(m) = 0.
-2, 1
Find b, given that -3/2*b**3 - 1 + 2*b**2 + 3/2*b - b**4 = 0.
-2, -1, 1/2, 1
Let c(z) be the third derivative of z**5/210 - z**4/84 - 2*z**3/21 + 6*z**2. Determine t, given that c(t) = 0.
-1, 2
Let q be (-276)/230*(-10)/18. Solve -q*n - 10/3*n**2 - 2*n**3 + 2/3 = 0 for n.
-1, 1/3
Let p be -3*(22/(-6) - -2). Let z(w) be the first derivative of -w**2 - 2*w + 1 + 5/2*w**4 + 4/5*w**p + 2*w**3. What is t in z(t) = 0?
-1, 1/2
Let i = -1/4 - -1/2. Let l(z) be the second derivative of -1/8*z**3 - z + 1/48*z**4 + i*z**2 + 0. Factor l(b).
(b - 2)*(b - 1)/4
Let f(a) be the first derivative of -2/3*a**3 - 3 + 1/2*a**2 + 1/4*a**4 + 0*a. Let f(l) = 0. What is l?
0, 1
Suppose 0 = -4*v, 5*v + 60 = 2*m + m. Find i, given that -28*i - 8 - 10*i**2 + 12*i - m*i**3 + 18*i**3 = 0.
-2, -1
Let j(h) be the second derivative of h**7/168 - h**5/20 + h**4/24 + h**3/8 - h**2/4 - 5*h. Factor j(i).
(i - 1)**3*(i + 1)*(i + 2)/4
Let a(m) be the third derivative of -1/600*m**6 - 1/15*m**3 + 1/120*m**4 + 1/100*m**5 + 0*m + 0 + 4*m**2 - 1/1050*m**7. Determine b so that a(b) = 0.
-2, -1, 1
Let b(t) be the third derivative of -t**8/168 - 4*t**7/105 + t**6/30 + 2*t**5/5 - 3*t**4/4 + 7*t**2. Let b(h) = 0. Calculate h.
-3, 0, 1
Let s(v) be the second derivative of v**7/84 - v**6/60 - v**5/10 + v**4/6 + 16*v. Factor s(y).
y**2*(y - 2)*(y - 1)*(y + 2)/2
Factor 7/2*h - 1/2*h**2 + 4.
-(h - 8)*(h + 1)/2
Factor -5*c**3 + 4*c**3 + 3*c**4 + 2*c**2 - c**4 - 3*c**3.
2*c**2*(c - 1)**2
Determine j, given that -26*j**4 - 18*j**2 + 69*j**3 + 2*j**4 - 62*j - 22*j + 24 + 3*j**4 = 0.
-1, 2/7, 2
Suppose -2*a = 4*y + 8, -y + 3 = -3*a + 12. Factor 5/4*x**a + 1/2*x + 0.
x*(5*x + 2)/4
Suppos