7 - 6*r. Factor j(u).
2*u*(u + 3)*(7*u - 2)/7
Let t = -4 + 6. Determine x, given that 20*x**4 + 13*x + x**t - 9*x**3 - 2 - 22*x**2 + 7*x**4 = 0.
-1, 1/3, 2/3
Factor 0*i**2 + 4/5*i**3 + 0*i + 0 + 0*i**4 - 4/5*i**5.
-4*i**3*(i - 1)*(i + 1)/5
Suppose 26*q - 25*q = -5*c, -4*q = 0. Factor c*x + 0*x**3 + 0 - 4/7*x**4 + 4/7*x**5 + 0*x**2.
4*x**4*(x - 1)/7
Suppose 3*t + 2*u - 24 = -2*t, -2*u = 2*t - 12. Factor -6/5*j**3 - 2/5*j + 0 + 6/5*j**2 + 2/5*j**t.
2*j*(j - 1)**3/5
Let y(c) be the third derivative of -c**6/24 - c**5/12 + 5*c**4/12 - 15*c**2. Factor y(z).
-5*z*(z - 1)*(z + 2)
Let y(m) be the second derivative of 0 + m**3 - 9/4*m**4 + 0*m**2 - 5*m + 21/20*m**5. Solve y(v) = 0 for v.
0, 2/7, 1
Factor -1/4*r**2 - 49/4 + 7/2*r.
-(r - 7)**2/4
Let t be ((-3)/126)/((-6)/30). Let d(k) be the third derivative of -t*k**7 + 3*k**2 + 0 + 0*k + k**6 + 4*k**4 - 46/15*k**5 - 8/3*k**3. Factor d(n).
-(n - 2)**2*(5*n - 2)**2
Let l(d) be the second derivative of 0 + 1/4*d**4 - 3*d + 1/30*d**6 - 2/3*d**3 - 2*d**2 + 1/5*d**5. Determine p so that l(p) = 0.
-2, -1, 1
Let z(x) = -8*x + 8. Let g be z(1). Suppose g + 0*f + 0*f**3 - 2/9*f**2 + 2/9*f**4 = 0. Calculate f.
-1, 0, 1
Let h(s) be the first derivative of 6/5*s**2 + s + 2/5*s**3 + 4 + 1/20*s**4. Let f(v) be the first derivative of h(v). Factor f(c).
3*(c + 2)**2/5
Let t(b) = b**2 - 4*b + 3. Let i be t(3). Find k, given that -3/5*k**3 + 6/5*k**2 - 3/5*k + i = 0.
0, 1
Let u(f) be the first derivative of 5/2*f**4 + f + 10/3*f**3 + 2 + 1/6*f**6 + f**5 + 5/2*f**2. Factor u(n).
(n + 1)**5
Let j = -24 - -28. Determine g so that 9*g**5 + g**3 + 12*g**4 - 4 + j + 2*g**3 = 0.
-1, -1/3, 0
Let s(m) be the first derivative of 0*m + 2*m**2 + 2*m**3 - 5/2*m**4 - 2. Factor s(z).
-2*z*(z - 1)*(5*z + 2)
Let 1/4*v**5 + 1/2*v + 5/4*v**4 + 0 + 9/4*v**3 + 7/4*v**2 = 0. Calculate v.
-2, -1, 0
Let f(m) be the first derivative of 54*m**6 - 117*m**5/5 - 1311*m**4/4 + 158*m**3 + 30*m**2 - 24*m - 2. Find q such that f(q) = 0.
-2, -2/9, 1/4, 1/3, 2
Factor -1/6*a**2 - 1/3 + 1/2*a.
-(a - 2)*(a - 1)/6
Suppose 9*p = 5*p - 28. Let w = 7 + p. Factor -2/3*f**3 + w + 0*f - 2/3*f**2.
-2*f**2*(f + 1)/3
Suppose -o - 3*i = -0*i + 13, -31 = -3*o + 5*i. Let c(d) = -d**o + 4*d - 5 + 5 + 0. Let g(m) = m**3 - 3*m. Let k(w) = -2*c(w) - 3*g(w). Factor k(l).
-l*(l - 1)*(3*l + 1)
Find l such that -162/5 + 2/5*l**5 + 132/5*l**3 - 26/5*l**4 + 378/5*l - 324/5*l**2 = 0.
1, 3
Suppose 5*q = -w - 17 - 18, -4*q = w + 32. Let j be (-2)/2 + w/(-12). Factor 2/3*g**5 + 0*g + 0*g**4 + 0 - j*g**3 + 0*g**2.
2*g**3*(g - 1)*(g + 1)/3
Factor -2*r + 2*r + 4*r**2 - r + 17*r + 16.
4*(r + 2)**2
Let s(r) = -r**3 + r**2 + r + 1. Let u(x) = -12*x**3 - 15*x**2 - 15*x. Let q(m) = 6*s(m) - u(m). Factor q(b).
3*(b + 1)*(b + 2)*(2*b + 1)
Let q(h) be the first derivative of h**4/4 + 7*h**3/3 + 3*h**2 + 2*h + 3. Let y be q(-6). Factor -1/5*w**y - 1/5*w + 0.
-w*(w + 1)/5
Let w = -23 + 28. Suppose 11*u**3 + u**5 - u**3 - 14*u**4 + w*u**5 - 2*u**2 = 0. What is u?
0, 1/3, 1
Let u(h) = 7*h**2 + 7*h - 6. Let b(a) = -a + 13*a**2 + 14*a - 2 - 9. Let t = 19 + -13. Let p(x) = t*b(x) - 11*u(x). Factor p(k).
k*(k + 1)
Let 6*p**5 - 5*p**5 + p**5 + 2592*p - 1728*p**2 + 0*p**5 - 48*p**4 + 432*p**3 = 0. What is p?
0, 6
Let w(g) be the second derivative of g + 1/30*g**4 + 0 + 2/15*g**3 - 3/5*g**2. Determine x, given that w(x) = 0.
-3, 1
Suppose 0 = -3*d + 5*d - 4. Suppose 5*a + 16 = -4*q, -4*a + q = -3*q - 16. Factor -1/2*t**4 + 1/2*t**d + a + 0*t**3 + 0*t.
-t**2*(t - 1)*(t + 1)/2
Let b(l) be the third derivative of -l**8/140 - 2*l**7/105 - l**6/90 + 4*l**3/3 - 6*l**2. Let s(f) be the first derivative of b(f). Factor s(r).
-4*r**2*(r + 1)*(3*r + 1)
Let p(m) = 5*m**2 + 13*m - 3. Let u be p(-3). Let n(a) be the first derivative of 3 - 3/7*a**2 - 4/21*a**u + 4/7*a. Factor n(t).
-2*(t + 2)*(2*t - 1)/7
Let q(j) be the second derivative of j**6/120 + j**5/80 - 7*j. Let q(c) = 0. Calculate c.
-1, 0
Let u(c) = -c + 7. Suppose 15 = 2*t + 5. Let k be u(t). Suppose -4/7 + 2/7*i**k - 2/7*i = 0. What is i?
-1, 2
Let f(u) be the third derivative of 5*u**2 + 1/3*u**3 + 0*u - 11/24*u**4 + 1/30*u**6 + 1/48*u**8 - 8/105*u**7 + 7/30*u**5 + 0. Let f(h) = 0. What is h?
-1, 2/7, 1
Let l be ((16/14)/(-4))/(14/(-21)). Factor 3/7*v**2 - l*v + 0.
3*v*(v - 1)/7
Let w(c) be the third derivative of c**6/360 - c**5/90 - c**4/18 + 4*c**3/9 - 12*c**2. Let w(g) = 0. What is g?
-2, 2
Find c such that 0*c + 2/3*c**5 + 0*c**2 + 8/3*c**4 + 8/3*c**3 + 0 = 0.
-2, 0
Let q = -2027/5 - -407. Find n, given that -32/5*n - 18/5*n**3 + q + 42/5*n**2 = 0.
2/3, 1
Let z = -6 - -9. Suppose 6*f**2 - 2*f**z - 6*f**2 + 6*f**2 - 4*f = 0. What is f?
0, 1, 2
Let k = -6 - -8. Determine p so that k + 6*p**4 - 2*p**5 + p**3 - 5*p**4 - 2 = 0.
-1/2, 0, 1
Let s(h) be the second derivative of -5*h**4/12 - 55*h**3/6 - 25*h**2 - 17*h. Find b such that s(b) = 0.
-10, -1
Let a = 191/76 + -1/76. Let c(p) be the first derivative of 0*p + 14/3*p**3 + 2 + 2*p**2 + a*p**4. Let c(f) = 0. Calculate f.
-1, -2/5, 0
Suppose -1 = -m + 2. Factor z**m + z**3 - 3*z**3 + 2*z**2.
-z**2*(z - 2)
Let m(z) = 3*z**5 - 13*z**3 - 12*z**2 - 2. Let y(x) = 5*x**5 - 25*x**3 - 25*x**2 - 5. Let f(j) = -5*m(j) + 2*y(j). Factor f(a).
-5*a**2*(a - 2)*(a + 1)**2
Let j = 2 + 2. Let n be (30/(-20))/((-2)/j). Let -6/5 - 21/5*k - n*k**2 = 0. What is k?
-1, -2/5
Let d(k) be the first derivative of -k**7/560 - k**6/240 + k**5/40 - 2*k**3 - 9. Let o(m) be the third derivative of d(m). Determine j so that o(j) = 0.
-2, 0, 1
Let d(p) = -p + 1. Let n be d(-3). Suppose f + 6 = -t + 4*t, 2*t + f = n. Factor 0*r**3 - r**t + 0*r**4 - r**4 + 2*r**3.
-r**2*(r - 1)**2
Let q(z) be the second derivative of 1/40*z**5 + 0*z**2 + 1/48*z**4 + 0*z**3 + 1/120*z**6 + 0 + 2*z. Solve q(p) = 0.
-1, 0
Let p(w) be the third derivative of -w**8/1680 - w**7/210 - w**6/120 + w**5/30 + w**4/6 - w**3/2 + w**2. Let z(d) be the first derivative of p(d). Factor z(r).
-(r - 1)*(r + 1)*(r + 2)**2
Solve -1/2 - 1/6*k**3 - 5/6*k**2 - 7/6*k = 0.
-3, -1
Suppose -3*n = -u - 11, 4*u + 5 = -3*n + 2*n. Let j be (4 + -1)*2/n. Factor g + 4*g - 2 + g**j - 6*g.
(g - 2)*(g + 1)
Let k(s) = 4*s**3 + 2*s**2 - 8*s - 1. Let h(u) = 1 + 2*u - 2 - 9*u + u**2 + 3*u**3. Let t(a) = 5*h(a) - 4*k(a). Solve t(g) = 0.
-1
Let a(w) be the third derivative of -w**6/30 + w**5/60 + w**4/24 + w**3/6 - w**2. Let u be a(-1). Factor k**3 - 3*k**3 + 2*k**5 + 0*k**u.
2*k**3*(k - 1)*(k + 1)
Find t such that 6/11 + 8/11*t + 2/11*t**2 = 0.
-3, -1
Let a be (-3)/4 + (-174)/(-72). Find b such that a*b**4 - 4/3*b**2 + 8/3*b - 1/3*b**5 + 0 - 2*b**3 = 0.
-1, 0, 2
Let z(q) be the second derivative of 0*q**2 + 0 + 1/54*q**4 - 1/27*q**3 - 5*q. Suppose z(a) = 0. Calculate a.
0, 1
Let b(v) = -3*v - 6. Let y be b(-3). Factor z**2 + 0*z**y + 0 + 2/3*z - 1/3*z**4.
-z*(z - 2)*(z + 1)**2/3
Let g = 30 - 22. Let b(q) be the third derivative of -1/168*q**g - 3*q**2 - 1/30*q**5 + 0*q + 0 + 1/105*q**7 + 0*q**3 + 1/60*q**6 + 0*q**4. Factor b(v).
-2*v**2*(v - 1)**2*(v + 1)
Let x(j) be the second derivative of 5*j**4/16 + 5*j**3/24 - j. Factor x(c).
5*c*(3*c + 1)/4
Let r(w) be the first derivative of 8 - 4/9*w**3 + 0*w**2 - 1/2*w**4 + 0*w + 2/3*w**5. Let r(k) = 0. Calculate k.
-2/5, 0, 1
Let a(b) = 4*b**3 - 5*b**2 - 9*b. Let c(g) = -g - 1. Let u(d) = 4*a(d) + 36*c(d). Factor u(t).
4*(t - 3)*(t + 1)*(4*t + 3)
Suppose 0 = -0*q + 5*q - 10. Let w(n) be the second derivative of 5/24*n**3 + 0 - q*n - 1/4*n**2 - 1/16*n**4. Factor w(u).
-(u - 1)*(3*u - 2)/4
Let i(c) be the third derivative of 3*c**7/7 - 3*c**6/8 - 11*c**5/3 - 95*c**4/24 - 5*c**3/3 - 46*c**2. Find y such that i(y) = 0.
-1, -1/3, -1/6, 2
Let k(n) be the first derivative of -n**5/15 - 5*n**4/12 - 2*n**3/9 + 10*n**2/3 + 8*n - 35. Suppose k(y) = 0. Calculate y.
-3, -2, 2
Suppose 2*l = -2*l + 16. Let r(n) be the second derivative of 0*n**3 - 4/9*n**2 + 0 + 2*n - 1/90*n**5 + 1/18*n**l. Factor r(c).
-2*(c - 2)**2*(c + 1)/9
Let f(p) = -p**3 - 14*p**2 + 9*p + 14. Let z(u) = u**3 + 9*u**2 - 6*u - 9. Let n be (-12)/(3/(-1)) - -1. Let s(g) = n*f(g) + 8*z(g). Factor s(c).
(c - 1)*(c + 1)*(3*c + 2)
Let h(z) be the third derivative of z**8/672 + z**7/105 + z**6/60 - 46*z**2. Factor h(p).
p**3*(p + 2)**2/2
Let k(g) = -5*g**2 + 3*g + 2. Let d(m) = -m**2. Let u(v) = -6*