*w. Let c be (-2 - 2/(-2))*0. Let b be s(c). Factor 1/5*a + 1/5*a**4 - 1/5*a**3 + b - 1/5*a**2.
a*(a - 1)**2*(a + 1)/5
Let o(b) be the second derivative of 0*b**2 - 2/105*b**6 + 0 + 1/35*b**5 + 0*b**3 + 2/21*b**4 + 17*b. Factor o(w).
-4*w**2*(w - 2)*(w + 1)/7
Let g(i) = 4*i**3 - 26*i**2 + 8*i + 23. Let a(w) = 11*w**3 - 77*w**2 + 21*w + 69. Let y(r) = 3*a(r) - 8*g(r). Factor y(z).
(z - 23)*(z - 1)*(z + 1)
Let h be (10/18)/((-9)/(-27)*1). Let h*r**3 - 5/6*r - 5/6*r**2 + 0 = 0. Calculate r.
-1/2, 0, 1
Let t = -212 - 151. Let x = -2535/7 - t. Factor -x*v + 2/7*v**2 + 0.
2*v*(v - 3)/7
Let t(k) be the first derivative of 3/16*k**2 - 15 + 1/24*k**3 + 0*k. Suppose t(w) = 0. What is w?
-3, 0
Let y(p) = -11*p + 83. Let a(f) = 2*f - 14. Let d(q) = -39*a(q) - 6*y(q). Let g be d(4). Let 2/3*w + g*w**3 + 0 - 4/3*w**4 + 4/3*w**2 - 2/3*w**5 = 0. What is w?
-1, 0, 1
Let 1/2*t**4 - 30*t + 3*t**3 - 11/2*t**2 + 50 = 0. What is t?
-5, 2
Let z(p) be the third derivative of p**6/300 - p**5/50 - p**4/60 + p**3/5 - 407*p**2. Factor z(q).
2*(q - 3)*(q - 1)*(q + 1)/5
Let n(k) = -5*k**4 + 36*k**2 + 8. Let a(o) = -o**3 + o**2 - 2*o - 1. Let g(j) = 40*a(j) + 5*n(j). Solve g(w) = 0 for w.
-4, 0, 2/5, 2
Let b(r) be the second derivative of 3/2*r**4 + 0 + 10*r + 2/3*r**3 + 0*r**2. Suppose b(i) = 0. What is i?
-2/9, 0
Let f(x) be the third derivative of -x**7/1260 + x**6/72 - x**5/10 + 7*x**4/12 + 5*x**2. Let l(s) be the second derivative of f(s). Factor l(u).
-2*(u - 3)*(u - 2)
Let g be -10 - (-11 - -4) - (-1 - 22). Suppose 2*n - 10 = m, n - m - 27 = -g. Suppose 8/9*f - 4/9*f**n - 4/9*f**5 + 8/9*f**2 + 2/9 - 10/9*f**4 = 0. Calculate f.
-1, -1/2, 1
Let p(j) be the third derivative of j**7/70 + 3*j**6/80 - j**5/10 - 3*j**4/16 + j**3/2 - 23*j**2. Determine a so that p(a) = 0.
-2, -1, 1/2, 1
Let l = 55685/3 - 18557. Factor 2/3*f**2 + 4 - l*f.
2*(f - 6)*(f - 1)/3
Let v = -777 - -779. Factor 0*r**v + 3/4*r - 1/4*r**3 + 1/2.
-(r - 2)*(r + 1)**2/4
Factor -26 + 34*p - 66*p + 4*p**2 - 10.
4*(p - 9)*(p + 1)
Let n be (5 + 110/(-20))/((-1)/8). Factor -64/21*h - 32/21 + 2/3*h**n - 80/21*h**3 + 48/7*h**2.
2*(h - 2)**3*(7*h + 2)/21
Let z(c) = 7*c**5 + 35*c**4 - 135*c**3 + 278*c**2 - 281*c + 105. Let f(l) = l**5 + l**4 - l**3 - l + 1. Let v(p) = 18*f(p) - 2*z(p). Solve v(a) = 0.
1, 3, 4
Let f(a) be the second derivative of a**5/50 + 2*a**4/5 - a**3 - 26*a**2/5 - a - 54. Factor f(v).
2*(v - 2)*(v + 1)*(v + 13)/5
Let k = 1/2399 - -52763/35985. Let c = k + -4/5. Factor -1/6*n**3 - c*n**2 - 1/2*n + 0.
-n*(n + 1)*(n + 3)/6
Let p(m) be the first derivative of 0*m + 15/4*m**4 - 5/3*m**3 - 5/6*m**6 + m**5 + 34 - 5*m**2. Determine z so that p(z) = 0.
-1, 0, 1, 2
Let f(j) be the first derivative of -4*j**3/3 - 12*j**2 - 20*j + 6. Suppose f(s) = 0. What is s?
-5, -1
Factor -7/3*u**3 - 1/3*u**4 + 0 - 11/3*u**2 - 5/3*u.
-u*(u + 1)**2*(u + 5)/3
Let q(f) be the first derivative of -28*f**2 - 4 - 4/3*f**3 + 16*f + 7/2*f**4. Find d such that q(d) = 0.
-2, 2/7, 2
Let j(m) be the third derivative of 9/40*m**6 + 0*m**3 + 5/112*m**8 + 1/20*m**5 + 8*m**2 - 1/4*m**4 - 13/70*m**7 + 0 + 0*m. Factor j(a).
3*a*(a - 1)**3*(5*a + 2)
Let m(r) be the first derivative of r**9/3024 + r**8/840 + r**7/840 - 11*r**3/3 + 11. Let k(n) be the third derivative of m(n). Factor k(j).
j**3*(j + 1)**2
Let y(b) = -b - 12. Let h be y(15). Let c be h/(-60) - 1/5. Solve -3/4*p**4 - c*p**5 + 0*p - 1/4*p**2 - 3/4*p**3 + 0 = 0 for p.
-1, 0
Find u, given that 7*u - 2*u + 0*u**3 - 5*u**3 - 16*u**2 + u**2 + 15 = 0.
-3, -1, 1
Suppose -3*u = 3*i - 28821, -i = -u - 5008 - 4593. Factor -6036*s**3 - i*s**4 - 4 - 507*s**2 - 112*s - 669*s**2 + 548*s**3.
-4*(7*s + 1)**4
Let x(z) be the first derivative of -z**3 + 15*z**2 - 48*z - 235. Determine d so that x(d) = 0.
2, 8
Let z be -9 + (-28)/(-3) - 3/9. Let h(y) be the second derivative of 0 + z*y**4 - 1/5*y**2 - y + 1/25*y**5 - 2/15*y**3 + 1/75*y**6. Let h(t) = 0. What is t?
-1, 1
Let q be (-20)/(-30) + -10*(-3)/9. Suppose -p - 3*s + 13 = 0, -p + 2*p - q*s + 15 = 0. Factor -1/3*c**2 - p - 4/3*c.
-(c + 1)*(c + 3)/3
Let c(p) be the third derivative of -p**6/330 - 3*p**5/110 - p**4/33 + 79*p**2. Factor c(j).
-2*j*(j + 4)*(2*j + 1)/11
Suppose 1/4*u**3 - 9/4 + 5/4*u**2 + 3/4*u = 0. Calculate u.
-3, 1
Determine l, given that 40*l**3 - 627*l**2 - l**4 + 6*l**4 + 587*l**2 + 720 - 480*l = 0.
-6, 2
Factor -16/5*o**3 - 2/5*o**5 + 2*o**4 + 0*o + 8/5*o**2 + 0.
-2*o**2*(o - 2)**2*(o - 1)/5
Let v = 32618 - 32618. Factor -4/15*c - 2/15*c**2 + 2/15*c**3 + v.
2*c*(c - 2)*(c + 1)/15
Let c(y) be the first derivative of 1/6*y**4 - 4/3*y**2 + 16 - 20/27*y**3 + 4/45*y**5 + 16/9*y. Solve c(j) = 0 for j.
-2, 1/2, 2
Let o(l) = 9*l**2 + 126*l + 128. Let f(b) = 3*b**2 + 42*b + 43. Let k(p) = 11*f(p) - 4*o(p). Factor k(n).
-3*(n + 1)*(n + 13)
Let b(d) be the third derivative of -d**5/60 - 17*d**4/6 + 658*d**2. Factor b(m).
-m*(m + 68)
Factor 0 - 1/6*l**3 + 0*l + 29/6*l**2.
-l**2*(l - 29)/6
Let x = -7 + 16. Suppose -q + 0*q + x = 0. Let 6*m**4 - q*m**2 + 10 - 8 + 1 + 3*m - 3*m**3 = 0. What is m?
-1, -1/2, 1
Let c be (690/40 - 15) + (-98)/72. Find u, given that 8/9*u**3 - 4/9*u**5 + c*u**2 - 4/9*u - 4/9*u**4 - 4/9 = 0.
-1, 1
Let x(u) = u + 14. Let d be x(-13). Suppose a + d = 4. Factor -4*s + 2*s**2 + 4*s**a - s**2 - 3*s**2 + 2.
2*(s - 1)*(s + 1)*(2*s - 1)
Let d(x) be the third derivative of -3*x**5/20 - 469*x**4/8 - 78*x**3 - 3*x**2 + 167. Factor d(t).
-3*(t + 156)*(3*t + 1)
Let y(v) be the first derivative of -2*v**3/9 + 38*v**2/3 - 74*v/3 - 153. Factor y(l).
-2*(l - 37)*(l - 1)/3
Let o(g) = 12*g**4 - 4*g**3 - 20*g**2. Let w(j) = -j**5 + 24*j**4 - 7*j**3 - 39*j**2. Let i(m) = -7*o(m) + 4*w(m). Factor i(c).
-4*c**2*(c - 2)**2*(c + 1)
Let k(a) = 157*a + 944. Let m be k(-6). Factor 6/5*f + 6/5*f**m + 2/5*f**3 + 2/5.
2*(f + 1)**3/5
Let x(v) be the second derivative of 3*v + 1/20*v**5 + 1/6*v**4 - 1/6*v**3 + 0 - 1/4*v**2 - 1/20*v**6. Determine p so that x(p) = 0.
-1, -1/3, 1
Let y(c) be the third derivative of -c**7/8820 + c**6/630 + c**5/84 + 9*c**4/8 - 17*c**2. Let x(a) be the second derivative of y(a). Factor x(q).
-2*(q - 5)*(q + 1)/7
Let f(q) = q**4. Let i(l) = 18*l**4 + 20*l**3 - 12*l**2 - 20*l - 4. Suppose -2*o = -5*z + 8, 0 = o + 2*z - 2 - 3. Let x(v) = o*i(v) - 2*f(v). Factor x(c).
4*(c - 1)*(c + 1)**2*(4*c + 1)
Suppose 4*l + 11 = 19. Factor -22*m**2 + 51*m**2 + 1 - l*m - 28*m**2.
(m - 1)**2
Let p(v) be the third derivative of -v**8/120960 + 7*v**5/30 + 4*v**2. Let j(x) be the third derivative of p(x). Factor j(y).
-y**2/6
Let p(v) be the second derivative of 1/7*v**2 - 42*v + 1/7*v**4 + 1/105*v**6 - 2/35*v**5 - 4/21*v**3 + 0. Solve p(a) = 0 for a.
1
Let o(p) be the first derivative of 3/2*p**2 + 3/4*p**4 + 15 + 2*p**3 + 0*p. What is u in o(u) = 0?
-1, 0
Let y(k) be the first derivative of -k**3/12 - 11*k**2/2 - 121*k + 55. Factor y(i).
-(i + 22)**2/4
Let o(z) be the first derivative of 6/7*z**2 - 6/7*z - 2/7*z**3 - 2. Factor o(n).
-6*(n - 1)**2/7
Let t = -63 - -96. Let p = t + -23. Let 8*x - 4*x**2 - p*x + 0*x**3 - 2*x**3 = 0. Calculate x.
-1, 0
Let o = 159172/45 - 3537. Let u(i) be the second derivative of -5*i + 1/30*i**5 + 1/10*i**4 + 2/15*i**2 + o*i**3 + 1/225*i**6 + 0. Factor u(m).
2*(m + 1)**3*(m + 2)/15
Let x be (-104)/(-48) - (-1)/(-6). Let q be -8*1/(-6 + x). Find y, given that 2*y**q - 3*y**2 - 3 - 1 - 8*y - 2*y**2 = 0.
-2, -2/3
Let u be 1/3 - 1/(-6). Let f be 66/462*(-1 - -1). Factor f - 1/2*g**2 - u*g.
-g*(g + 1)/2
Factor 4055 - 36*n**4 - 36052*n**2 - 1961*n**3 - 367*n**3 - 21479 + 51216*n.
-4*(n + 33)**2*(3*n - 2)**2
Let r(t) be the first derivative of 0*t - 4*t**2 - 9/5*t**5 - 15/2*t**4 - 28/3*t**3 - 32. Factor r(o).
-o*(o + 2)*(3*o + 2)**2
Let g(u) = -9*u**3 - 30*u**2 + 148*u - 109. Let i(o) = 10*o**3 + 28*o**2 - 148*o + 110. Let p(x) = -6*g(x) - 5*i(x). Suppose p(a) = 0. What is a?
-13, 1, 2
Suppose -8/5*l**2 - 16/5*l + 2*l**4 + 0 + 2/5*l**5 + 12/5*l**3 = 0. Calculate l.
-2, 0, 1
Let a(i) be the second derivative of -i**6/75 + 3*i**5/50 + 3*i**4/5 + 4*i**3/15 - 24*i**2/5 + 85*i. Suppose a(n) = 0. Calculate n.
-2, 1, 6
Suppose 8*h = 11 - 11. Let i(t) be the third derivative of 1/52*t**4 + 2/39*t**3 + 2*t**2 + 0*t + 1/390*t**5 + h. Find n, given that i(n) = 0.
-2, -1
Let z(c) be the first derivative of -5*c**6