) be the second derivative of 0*x**2 + 0 + h*x**4 - 4*x + 1/80*x**5 - 1/12*x**3. Factor z(j).
j*(j - 1)*(j + 2)/4
Let u(b) = -11*b**4 + 22*b**3 - 21*b**2 + 2*b - 1. Let p(h) = h**4 + h**2 + 1. Let s(n) = -3*p(n) - u(n). Factor s(r).
2*(r - 1)**3*(4*r + 1)
Let w(p) be the second derivative of p**8/2240 + p**7/420 + p**4/6 + 5*p. Let y(c) be the third derivative of w(c). Factor y(l).
3*l**2*(l + 2)
Find y, given that -16 - 2*y**2 + 2*y + 5*y + 4*y + y = 0.
2, 4
Let v be ((-2)/5)/((-3)/15). Factor f**5 + 1 - 3*f**4 + 2*f**3 - f - 2*f + 6*f**v - 4*f**2.
(f - 1)**4*(f + 1)
Suppose 2*t**3 + 2 + 0 - 2 - 2*t = 0. What is t?
-1, 0, 1
Let k(u) be the first derivative of u**6/270 + u**5/360 + 2*u**3/3 + 1. Let w(z) be the third derivative of k(z). Factor w(r).
r*(4*r + 1)/3
Suppose 5 = -4*p - c + 13, -3*c + 4 = 2*p. Let s = 2 - p. Solve s*o - 2*o**2 + 3*o**2 - o**4 - o**3 + o = 0 for o.
-1, 0, 1
Suppose 32/3 - 16/3*r + 2/3*r**2 = 0. Calculate r.
4
Factor 2/9*d + 4/9*d**3 + 4/9 - 10/9*d**2.
2*(d - 2)*(d - 1)*(2*d + 1)/9
Let k(g) be the second derivative of -g**6/40 + 3*g**5/20 - 3*g**4/8 + g**3/2 - 3*g**2/8 - 5*g. Factor k(t).
-3*(t - 1)**4/4
Let m be (2702/(-20) - -1)*2. Let a = 269 + m. Find h such that 6/5*h - a - 2/5*h**2 = 0.
1, 2
Let j(r) = 7*r**3 + 6*r**2. Let i(p) = -p**3 - p**2. Let z(w) = 6*i(w) + j(w). Suppose z(l) = 0. Calculate l.
0
Let r(h) be the first derivative of 0*h**2 + 2/9*h**3 + 1 + 0*h. Factor r(q).
2*q**2/3
Let x(f) = -8*f**2 + 2*f - 7. Let r(k) = k**2 + 1. Let y(p) = -14*r(p) - 2*x(p). Factor y(g).
2*g*(g - 2)
Let q(w) be the first derivative of 2/21*w**3 + 2/7*w**2 + 0*w + 5. Find t, given that q(t) = 0.
-2, 0
Let d = 141/14 - 60/7. Let i(s) = -s**2 - 15*s + 5. Let b be i(-15). Suppose -d*z**3 + 0*z - 3/2*z**4 - 1/2*z**2 - 1/2*z**b + 0 = 0. Calculate z.
-1, 0
Let t(p) be the second derivative of -1/54*p**4 + 2/27*p**3 + 0*p**2 + 3*p - 1/90*p**5 + 0. Suppose t(w) = 0. What is w?
-2, 0, 1
Let h(p) be the second derivative of 1/4*p**4 + 0*p**3 + 3/10*p**6 + 0*p**2 - 9/20*p**5 - 1/14*p**7 + 0 - 2*p. Factor h(a).
-3*a**2*(a - 1)**3
Suppose -2*b + 16 = 12. Determine h, given that 0 - 1/4*h + 1/4*h**b = 0.
0, 1
Let u(l) = l**2 + l - 1. Let v(m) = -4*m**2 - 10*m + 6. Let s = 20 + -11. Let t = s - 15. Let w(i) = t*u(i) - v(i). Factor w(c).
-2*c*(c - 2)
Suppose 4*k = -5*l - 2, 4 = 2*l - 3*k - 9. Factor l*g + 4*g**3 - 5*g**3 - g**3.
-2*g*(g - 1)*(g + 1)
Let g(q) = -q**4 - 4*q**3 + 2*q. Let h(p) = 3*p**4 + 9*p**3 - 5*p. Let v(z) = -5*g(z) - 2*h(z). Find y such that v(y) = 0.
0, 2
Suppose 0 = 3*p - 12, 2 = l + p - 2*p. Factor 6*c**3 + 13*c**2 + 4 + 6 + 30*c**4 - l - 29*c**4 + 12*c.
(c + 1)**2*(c + 2)**2
Let x(y) be the third derivative of -y**5/180 + y**4/24 - y**3/9 - 5*y**2. Factor x(t).
-(t - 2)*(t - 1)/3
Let t(p) be the second derivative of p**5/40 - p**4/24 + 7*p. Let t(s) = 0. What is s?
0, 1
Factor -1/4*s**2 + 1/4 + 0*s.
-(s - 1)*(s + 1)/4
Let o(f) be the second derivative of f**5/10 - f**4/6 - 2*f**3/3 + 10*f. What is r in o(r) = 0?
-1, 0, 2
Let g be 4/6*1*6. Determine s so that -6*s**g + 98*s - 21*s**5 - 98*s = 0.
-2/7, 0
Let q(m) = 12*m**2 - 42*m + 100. Let p(h) = -8*h**2 + 28*h - 67. Let l(j) = 8*p(j) + 5*q(j). Let z(d) = -d. Let u(s) = l(s) - 10*z(s). Factor u(v).
-4*(v - 3)**2
Let y = 746 + -746. Factor -1/4*m**4 + y - m - 5/4*m**3 - 2*m**2.
-m*(m + 1)*(m + 2)**2/4
Let o(c) be the third derivative of c**7/84 + 5*c**6/24 + 25*c**5/24 + 9*c**2. Factor o(t).
5*t**2*(t + 5)**2/2
Suppose 0*y + 0 - 2/5*y**2 = 0. Calculate y.
0
Let y(w) be the second derivative of w**6/120 - w**4/24 + w**2/8 + w. Factor y(q).
(q - 1)**2*(q + 1)**2/4
Let i(j) = 5*j**3 + 12*j**2 + 9*j - 7. Let b be 24/9*3/(-2). Let q(k) = -k**3 - 3*k**2 - 2*k + 2. Let x(g) = b*i(g) - 18*q(g). Factor x(r).
-2*(r - 2)**2*(r + 1)
Let f(r) = -r**4 + r**3 + r - 1. Let z(u) = -15*u**4 + 54*u**3 - 72*u**2 + 42*u - 9. Let k(y) = -3*f(y) + z(y). Find m, given that k(m) = 0.
1/4, 1, 2
Let u(l) = 5*l**3 - 7*l**2 - 2*l + 4. Let v(f) = 11*f**3 - 14*f**2 - 5*f + 8. Let y(g) = -5*u(g) + 2*v(g). Factor y(k).
-(k - 2)*(k - 1)*(3*k + 2)
Let n(q) = -13*q**3 + q**2 + 28*q - 16. Let c(s) = 12*s**3 - 27*s + 15. Let g(a) = 4*c(a) + 3*n(a). Factor g(i).
3*(i - 1)*(i + 2)*(3*i - 2)
Let z(r) be the first derivative of 0*r**2 - 1/4*r + 2 + 1/12*r**3. Determine y, given that z(y) = 0.
-1, 1
Let n be 2/9 - (-112)/63. Suppose n*t = 4*t. Factor 6/5*o**4 + 6/5*o**3 + t + 2/5*o**5 + 0*o + 2/5*o**2.
2*o**2*(o + 1)**3/5
Let -9*m**3 + 8*m**3 + 0*m**2 - 3*m**4 + 2*m**4 + 2*m**2 = 0. What is m?
-2, 0, 1
Suppose -5*z = 0, 4*z - 4 + 1 = -w. Let a(k) be the first derivative of 1/9*k**6 - 1/3*k**4 + 1/3*k**2 + 1 - 2/3*k + 4/9*k**w - 2/15*k**5. Factor a(u).
2*(u - 1)**3*(u + 1)**2/3
Let h be (-28)/(-8)*8/14. Suppose 2*m**4 + m**h - 3*m**4 + 3*m + 2*m**3 - 3*m**3 - 2*m = 0. Calculate m.
-1, 0, 1
Let w = 8 + -3. Let r be -3 + 1 + w*1. Factor 52*d**3 - 30*d**4 + 8*d - 20*d**2 - 4*d - 15*d**r + 9*d**5.
d*(d - 1)**2*(3*d - 2)**2
Let i = 3/65 + 7/130. Let q(d) be the second derivative of -3*d + 0*d**3 - 1/24*d**4 + i*d**5 + 0 + 0*d**2. Solve q(v) = 0.
0, 1/4
Let k(p) = -24*p**4 - 71*p**3 - 105*p**2 - 69*p - 15. Let n(q) = 335*q**4 + 995*q**3 + 1470*q**2 + 965*q + 210. Let j(o) = 55*k(o) + 4*n(o). Factor j(y).
5*(y + 1)**3*(4*y + 3)
Factor 7*d**2 + 4*d + 8 - 3*d**2 - 8.
4*d*(d + 1)
Suppose 4*j - 9 = 3*x - 4*x, 5*j - 3*x = -10. Let m be (-12)/(-24)*(j + -1). Find d such that 2*d**2 + 2*d + m - 35/2*d**3 = 0.
-2/7, 0, 2/5
Let u be ((-24)/30)/(2/(-5)). Let s(c) = -c + 2. Let w be s(u). Find v such that w + 3/2*v**3 + 0*v - 1/2*v**2 - 3/2*v**4 + 1/2*v**5 = 0.
0, 1
Let t(f) be the third derivative of -f**5/60 - 7*f**4/24 - f**3/3 - 11*f**2. Let z be t(-6). Factor 1/5*v**z - 1/5*v**3 + 0 + 1/5*v - 1/5*v**2.
v*(v - 1)**2*(v + 1)/5
Let m(t) be the second derivative of 81*t**5/5 - 42*t**4 - 136*t**3/3 - 16*t**2 - 2*t + 10. Factor m(f).
4*(f - 2)*(9*f + 2)**2
Let p(b) = 4*b**2 - b. Let v be p(2). Factor -6*t**3 + 23*t - 12 + 0 + v*t + 3*t**2 - 13*t.
-3*(t - 2)*(t + 2)*(2*t - 1)
Let l be ((-2)/10)/((-4)/60). Let z(i) be the first derivative of 1/3*i + 1/15*i**5 + 1/6*i**4 - 1/6*i**2 - 1/18*i**6 - 2/9*i**l - 1. Find t such that z(t) = 0.
-1, 1
Let m(o) be the second derivative of 0*o**2 - 1/6*o**4 + 4*o - 1/3*o**3 + 0. Factor m(h).
-2*h*(h + 1)
Let k(a) be the second derivative of a**9/45360 - a**7/3780 + a**5/360 + a**4/12 + 2*a. Let g(l) be the third derivative of k(l). Factor g(n).
(n - 1)**2*(n + 1)**2/3
Let a(s) be the third derivative of 0*s + 0*s**3 + 0 - 1/168*s**4 + 1/420*s**5 - 4*s**2. Factor a(j).
j*(j - 1)/7
Let u(p) = 2*p**4 - 4*p**3 - 10*p**2 - 4. Let r(w) = -1 - 2*w**2 - 5*w**2 - w**3 + 3*w**2 + w + 3*w**2. Let k(a) = -4*r(a) + u(a). Suppose k(d) = 0. What is d?
-1, 0, 2
Let d(r) = r**2 + 3*r - 2. Let f be d(-4). Factor -1/3*j**f - 4/3*j - 4/3.
-(j + 2)**2/3
Let u(v) = 0*v - 11*v - 3*v - 10 - 5*v**2. Let d(s) = s**2 + s - 1. Let c(b) = -2*d(b) - u(b). Let c(r) = 0. Calculate r.
-2
Let z(q) be the second derivative of -q**8/8400 - q**7/4200 + q**6/900 + q**3/2 + 3*q. Let t(a) be the second derivative of z(a). Solve t(j) = 0.
-2, 0, 1
Factor -7*p + 2 - 9*p**2 + 0 + 0.
-(p + 1)*(9*p - 2)
Let b(d) be the first derivative of -d**4/18 - 2*d**3/27 + 2*d**2/9 + 2. Determine r, given that b(r) = 0.
-2, 0, 1
Let u(t) be the first derivative of 4/3*t + 5/18*t**6 + 4/3*t**2 - 11/9*t**3 - 13/12*t**4 + 7/15*t**5 - 2. Let u(m) = 0. What is m?
-2, -1, -2/5, 1
Let u = 3 - 3. Let 0 + 0 - f**2 + 2*f + u = 0. What is f?
0, 2
Let p = 12 - 4. Factor p*f**2 - 9*f**2 + 0*f**2.
-f**2
Let o = 33 - 57. Let z = 27 + o. Find p such that -2/5*p + 2/5*p**z - 4/5*p**2 + 4/5 = 0.
-1, 1, 2
Let t be (-5)/(3/3) + 1. Let d = -2 - t. Let -3*s**4 - 2*s**d + s**2 + s**4 - 3*s**3 = 0. Calculate s.
-1, -1/2, 0
Let z = 5 + -3. Factor -2*f**4 + 2 - 3 - f**5 + z*f + 4*f**2 - 1 + 3*f**5 - 4*f**3.
2*(f - 1)**3*(f + 1)**2
Let w = 48/23 - 3063/46. Let c = -255/4 - w. Factor -7/4*g - c*g**3 - 1/2 - 2*g**2.
-(g + 1)**2*(3*g + 2)/4
Suppose 4 + d**3 + 2*d - 12*d + 8*d**2 - 3*d**3 = 0. Calculate d.
1, 2
Let n = -1 + -4. Let v(y) = 7*y**3 - 11*y**2 + 6*y - 2. Let r(p) = 6*p**3 - 10*p**2 + 6*p - 2. Let i(w) = n*r(w) + 4*v(w). Factor i(g).
-2*(g - 1)**3
Let z(t) be the