2 - l - 6. Let h(d) = 26*d**3 - 46*d**2 + 6*d + 30. Let n(y) = -3*h(y) - 16*v(y). Factor n(x).
2*(x - 3)*(x - 1)*(x + 1)
Determine j, given that 3/8*j**5 + 21/2*j + 57/4*j**2 + 75/8*j**3 + 3 + 3*j**4 = 0.
-2, -1
Let n(a) be the second derivative of -a**4/27 - 2*a**3/27 - 12*a. Solve n(z) = 0 for z.
-1, 0
Let n(f) be the second derivative of -f**4/4 + 6*f**2 + 3*f. Factor n(d).
-3*(d - 2)*(d + 2)
Let u(z) be the second derivative of -z**6/6 - 3*z**5/2 - 5*z**4 - 25*z**3/3 - 15*z**2/2 - 3*z. Factor u(t).
-5*(t + 1)**3*(t + 3)
Let i(c) be the first derivative of -1/60*c**5 - 1/360*c**6 + 1 + 0*c**2 + 0*c - 1/24*c**4 + 2/3*c**3. Let w(k) be the third derivative of i(k). Factor w(r).
-(r + 1)**2
Let y(r) be the first derivative of 1/6*r**3 - r - 1/36*r**4 - 1/3*r**2 + 2. Let q(n) be the first derivative of y(n). Solve q(w) = 0 for w.
1, 2
Let v(t) = 2*t**4 + 4*t**3 - 21*t**2 - 17*t - 7. Let o(a) = a**4 + 2*a**3 - 10*a**2 - 8*a - 3. Let j(z) = 13*o(z) - 6*v(z). Let j(u) = 0. Calculate u.
-3, -1, 1
Let g(u) = u**4 + u**2 + u. Let d(w) = -w**5 + 11*w**4 + w**3 + 7*w**2 + 9*w. Let t(a) = 2*d(a) - 18*g(a). Let t(z) = 0. Calculate z.
-1, 0, 1, 2
Let t be 3*-1 - 77/(-22). Factor 1/2*b**3 + 1/4*b**5 - 1/4 - 3/4*b - t*b**2 + 3/4*b**4.
(b - 1)*(b + 1)**4/4
Let b(w) be the first derivative of -w**3/6 + 3*w**2/4 - w - 16. Suppose b(r) = 0. What is r?
1, 2
Let m(x) be the first derivative of -2 + 0*x - 1/5*x**5 + 3/4*x**4 - x**3 + 1/2*x**2. Factor m(k).
-k*(k - 1)**3
Let m be 3/(-4) + (-15)/(-20). Let w be (-8)/(-36)*(m + 1). Factor 0*u**2 + w*u**3 + 2/9*u**5 + 0*u + 4/9*u**4 + 0.
2*u**3*(u + 1)**2/9
Let x(d) be the second derivative of 0 + 1/30*d**4 - 4*d + 1/5*d**2 + 2/15*d**3. Solve x(s) = 0.
-1
Let v(f) be the second derivative of 0 - 2*f**3 - 7/60*f**5 + 5/6*f**4 - 2*f + 4/3*f**2. Factor v(k).
-(k - 2)**2*(7*k - 2)/3
Let u be 38/(-8) + -11 + 16. Let d be (-30)/(-9)*6/5. Factor 0 + 1/4*v - 1/4*v**3 - u*v**2 + 1/4*v**d.
v*(v - 1)**2*(v + 1)/4
Let f(p) be the third derivative of 0 + 1/300*p**5 + 0*p**3 + 0*p - 1/600*p**6 + 4*p**2 + 0*p**4. Factor f(n).
-n**2*(n - 1)/5
Suppose 4/5*i**3 + 1/5*i**2 - 4/5*i + 0 - 1/5*i**4 = 0. What is i?
-1, 0, 1, 4
Let i(p) = -4*p**4 - 20*p**3 + 12*p**2 - 12*p. Let r(q) = -q**4 - q**3 - q. Let k(v) = -i(v) + 8*r(v). Factor k(z).
-4*z*(z - 1)**3
Find u, given that -12*u - 15*u**2 + 5*u**2 + 12*u**2 + 18 = 0.
3
Suppose p - 15 = -5*h, -4*p = 5*h - 15 - 15. Let s be 7/(-14) + 5/2. Factor 5*c**2 + 3*c**s - h*c - 6*c**2.
2*c*(c - 1)
Let u(t) = -t**2 - 7*t + 11. Let q be u(-8). Determine c so that -c**q - 2 - c - 2*c**2 - 1 + 3 = 0.
-1, 0
Let j be (-5)/1*(-3 + 4). Let t(d) = 10*d**4 - 6*d**3 - d - 3. Let g(x) = 7*x**4 - 4*x**3 - x - 2. Let b(y) = j*t(y) + 7*g(y). Factor b(i).
-(i - 1)**3*(i + 1)
Let v(c) be the first derivative of -3/14*c**4 + 4/21*c**3 - 4/7*c + 3/7*c**2 + 3. Find p, given that v(p) = 0.
-1, 2/3, 1
Let u(i) = 12*i**4 + 12*i**3 - 33*i**2 - 9. Let x(h) = -3*h**4 - 3*h**3 + 8*h**2 + 2. Let z(k) = 2*u(k) + 9*x(k). Solve z(m) = 0 for m.
-2, 0, 1
Let g(r) = r - 1. Let c be -1 + 0 - -2 - 2. Let p(q) = q**2 + 3*q. Let z(a) = c*p(a) + g(a). Factor z(b).
-(b + 1)**2
Suppose -7 = o - 9. Let q(i) be the second derivative of o*i - 1/48*i**4 + 0 + 0*i**3 + 1/8*i**2. Find f such that q(f) = 0.
-1, 1
Let d(a) be the first derivative of -a**4/2 + 4*a**3/3 - 13. Factor d(f).
-2*f**2*(f - 2)
Let h = 7 - 5. Factor -7 + 2*q**h - 5*q + 2*q**3 + 5 + 3*q.
2*(q - 1)*(q + 1)**2
Let l(q) be the third derivative of 0 + 1/24*q**6 + 1/24*q**4 + 0*q**3 + 4*q**2 - 1/140*q**7 + 0*q - 3/40*q**5. Find w such that l(w) = 0.
0, 1/3, 1, 2
Suppose -5*r - 11 = -11. Factor -1/4*c**3 - 1/4*c**4 + r*c**2 + 0 + 0*c.
-c**3*(c + 1)/4
Let n be (-4)/18 + (-112)/(-18). Solve z**2 - n*z**3 + z**4 - 4*z**2 + 6*z + z**4 + z**4 = 0 for z.
-1, 0, 1, 2
Suppose -10 - 2 = -2*h. Let u be -2 + h/(-2) + 7. Solve -2/3*w + 1/3 + 1/3*w**u = 0 for w.
1
Factor 0*x + 0 + 2/5*x**2.
2*x**2/5
Let r = 13 - 9. Determine z, given that z**4 - 2*z - 4 + 2 - 2*z**5 - 3*z**r + z**2 + 3*z**2 + 4*z**3 = 0.
-1, 1
Suppose 0 = 3*q - 3*z - 3, q + 4*z + 5 = 1. Factor 2/13*x**3 + 4/13*x**2 + 0*x + q.
2*x**2*(x + 2)/13
Suppose v - 68 = 4*p - 3*v, -v + 1 = 0. Let l = -5 - p. Let -9 + 4*u - u**2 + l + 3*u**2 = 0. Calculate u.
-1
Let t = -165/8 + 1179/56. Factor t*u**2 + 0 + 0*u.
3*u**2/7
Let y(i) = -3*i**4 + 2*i**3 + 7*i**2 - 6*i. Let z(p) = p**2 - p. Let q(m) = y(m) - 4*z(m). Determine b so that q(b) = 0.
-1, 0, 2/3, 1
Let d(j) = 14*j**3 + 17*j**2 - 3*j - 6. Let t(p) = -36*p**3 - 2 + 2 + 37*p**3 + p**2. Let i(b) = -d(b) + 5*t(b). Solve i(c) = 0.
-1, 2/3
Let k = 20 - 16. Let o(s) be the first derivative of -2/3*s**3 + 2 + 0*s + 1/2*s**k + 0*s**2. Factor o(w).
2*w**2*(w - 1)
Factor 4/9 - 2/9*x**3 - 10/9*x + 8/9*x**2.
-2*(x - 2)*(x - 1)**2/9
Let k = -9 - -11. Let m(q) be the first derivative of 0*q**3 + 0*q**k - 1/15*q**5 + 0*q + 1 + 1/12*q**4. Solve m(a) = 0.
0, 1
Let r(m) = m**4 + m**3 - m**2 + m. Let g(a) = -6*a**3 + 3*a**2 + 39*a + 24. Let n(f) = g(f) - 3*r(f). Determine k, given that n(k) = 0.
-2, -1, 2
Let n = 2/573 + 503/20055. Let a(p) be the third derivative of -1/20*p**6 - n*p**7 + 0 + 0*p**4 + 0*p**3 - 1/30*p**5 - 1/168*p**8 - p**2 + 0*p. Factor a(t).
-2*t**2*(t + 1)**3
Factor -l**4 + l**3 + 8*l - 9*l**3 - l**4 - 2*l**4 + 4.
-4*(l - 1)*(l + 1)**3
Let s(k) be the third derivative of -k**5/12 + 35*k**4/24 - 5*k**3 + 21*k**2. Suppose s(b) = 0. What is b?
1, 6
Suppose 1/7*a + 8/7*a**3 + 2/7 + 4*a**4 - 3*a**2 = 0. What is a?
-1, -2/7, 1/2
Let u(x) be the second derivative of -x**6/15 - x**5/10 + 2*x. Factor u(n).
-2*n**3*(n + 1)
Let h be (-104)/(-20) - (-8)/(-2). Suppose 0 + 0*i - h*i**2 - 3/5*i**3 = 0. What is i?
-2, 0
Let s(z) be the second derivative of -z**6/15 + 3*z**5/10 - 17*z. Factor s(r).
-2*r**3*(r - 3)
Let t(p) be the third derivative of p**8/560 - 2*p**7/175 - p**6/100 + 3*p**5/25 + 9*p**4/40 - 6*p**2. Factor t(w).
3*w*(w - 3)**2*(w + 1)**2/5
Solve 0 + 1/4*z**3 + 0*z - 1/4*z**2 = 0 for z.
0, 1
Let s(w) be the third derivative of -1/630*w**7 + 1/180*w**5 + 0 + 0*w**6 + 0*w**4 - 2*w**2 + 0*w + 0*w**3. Factor s(z).
-z**2*(z - 1)*(z + 1)/3
Let h be (-209)/(-228) - 2/12. Find f, given that -h*f**4 + 0*f + 0 - 1/4*f**2 + 1/4*f**5 + 3/4*f**3 = 0.
0, 1
Let d(a) be the third derivative of a**6/600 + a**5/200 + 2*a**3/3 + 5*a**2. Let b(p) be the first derivative of d(p). Solve b(c) = 0 for c.
-1, 0
Let w(b) be the second derivative of b**6/90 - b**4/18 + b**2/6 + b. Factor w(t).
(t - 1)**2*(t + 1)**2/3
Let x be (-3 + 1)*13/2. Let s be (x/(-7) - 3) + 2. Factor 6/7*b + 2/7 - 2/7*b**2 - s*b**3.
-2*(b - 1)*(b + 1)*(3*b + 1)/7
Let y(c) = -c**3 - c**2 - c. Let f(g) = 5*g**3 - 2*g**2 - 3*g + 2. Let o = -19 - -20. Let b(p) = o*f(p) + 2*y(p). Find q, given that b(q) = 0.
-1, 1/3, 2
Suppose 2*p + 1 - 5 = 0. Let k = p - 3. Let y(n) = 18*n**3 + 14*n**2. Let l(o) = -o**3 - o**2 - o. Let d(i) = k*y(i) - 4*l(i). Solve d(a) = 0 for a.
-1, 0, 2/7
Let m(u) = -9*u**5 + 8*u**4 + 11*u**3 + 10*u**2 + 8*u. Let z(d) = -d**5 + d**4 + d**3 + d**2 + d. Let w(b) = 3*m(b) - 24*z(b). Suppose w(a) = 0. What is a?
-1, 0, 2
Let n(a) be the first derivative of a**4 - 2*a**3/3 - 5*a**2 - 4*a + 10. Determine l, given that n(l) = 0.
-1, -1/2, 2
Let l(x) = -x**2 - 5*x + 1. Let z be l(-3). Let f be 2/7 + 12/z. Factor 1/2*j**f - 1/2 + 1/2*j - 1/2*j**3.
-(j - 1)**2*(j + 1)/2
Let m(p) be the first derivative of 0*p + 10/3*p**3 + 2*p**2 - 1 + p**4. Determine r so that m(r) = 0.
-2, -1/2, 0
Let z(f) be the first derivative of -f**4/10 - 4*f**3/15 + 1. Factor z(h).
-2*h**2*(h + 2)/5
Let u(x) be the third derivative of -x**5/60 - x**4/8 - x**3/3 + 6*x**2. Let u(n) = 0. What is n?
-2, -1
Let p(y) be the third derivative of 0 + 1/21*y**4 + 4/21*y**3 - 1/70*y**5 + 0*y - 5*y**2. Factor p(m).
-2*(m - 2)*(3*m + 2)/7
Factor -192 - 3/4*r**2 - 24*r.
-3*(r + 16)**2/4
Let x(w) be the first derivative of 4*w**3/3 - 16*w + 8. Solve x(z) = 0 for z.
-2, 2
Factor 38*g - 2*g**3 + 2*g**4 - 38*g.
2*g**3*(g - 1)
Let x(m) = 3*m - 3 - 1 - 2*m + 3. Let q(v) = -v**2 - 13*v + 10. Let z(y) = 2*q(y) + 22*x(y). Let z(g) = 0. What is g?
-1
Let i(p) be the first derivative of -7*p**6/51 - 94*p**5/85 - 91*p**4/34 - 122*p**3/51 - 2*p**2/17 + 16*p/17 - 52. Solve i(h) = 