*7. Factor x(j).
2*j**2*(j - 1)**2*(j + 1)/7
Factor -3*b - 6 - 16*b**2 - 4*b**3 - 2 - 7*b - 10*b.
-4*(b + 1)**2*(b + 2)
Let g = 71 + -263/4. Factor 0 + 3/2*n - g*n**2.
-3*n*(7*n - 2)/4
Let x(i) be the first derivative of -1/6*i**3 + 0*i**2 + 1/3*i**4 + 1/20*i**5 - 2/15*i**6 - i - 2. Let a(w) be the first derivative of x(w). Factor a(v).
-v*(v - 1)*(v + 1)*(4*v - 1)
Factor -3*v**2 + 2/3*v**3 + 10/3*v - 1.
(v - 3)*(v - 1)*(2*v - 1)/3
Let w = 2 + -2. Let u be (-1)/5 - (-21)/5. Determine c, given that 2 + 2*c**u - 2 + w + 2*c**3 = 0.
-1, 0
Let j(t) be the first derivative of t**6/3 - 4*t**5/5 + 4*t**3/3 - t**2 + 20. Solve j(m) = 0.
-1, 0, 1
Let c(x) = -x + 1. Let y be c(1). Let k(l) be the second derivative of 0*l**2 + y - 1/12*l**4 - 1/6*l**3 - 2*l. Solve k(g) = 0.
-1, 0
Let n(s) = -4*s**2 + 6*s**2 - 16*s + 5*s**2 + 5*s. Let p(u) = 3*u**2 - 5*u. Let l(r) = -4*n(r) + 9*p(r). Factor l(f).
-f*(f + 1)
Factor 4/15*p - 2/15*p**2 + 0.
-2*p*(p - 2)/15
Suppose 22 = 5*s + n, 2*s - 3*n = -s + 24. Factor -j**2 - 3*j**3 - 2*j**5 - 2*j**4 + 0*j**4 + 3*j**2 + s*j**3.
-2*j**2*(j - 1)*(j + 1)**2
Let r = -63 - -127/2. Let p(z) be the first derivative of r*z**3 + 0*z + 1 + 0*z**2. Factor p(t).
3*t**2/2
Factor 4*l - 11*l**2 - 5*l**3 + l**2 + 13*l - 2*l.
-5*l*(l - 1)*(l + 3)
Solve -1 - 5/4*p - 1/4*p**2 = 0.
-4, -1
Let r(s) be the first derivative of s**9/9072 + s**8/2520 - s**6/540 - s**5/360 + s**3 + 6. Let d(p) be the third derivative of r(p). Factor d(x).
x*(x - 1)*(x + 1)**3/3
Let v(r) = r**3 - r**2 - r + 3. Let t = 1 + -1. Let d be v(t). Suppose 2 + q**d + 2*q - 2*q**2 - 4*q**3 + q**3 = 0. What is q?
-1, 1
Let t(x) = -x - 23*x**3 + 1 + 24*x**3 - 2*x**5 - 2. Let b(i) = i**5 + i**4 - i**2 + i + 1. Let j(q) = b(q) + t(q). Factor j(f).
-f**2*(f - 1)**2*(f + 1)
Let q(m) be the first derivative of -m**3/8 - 3*m**2 - 24*m - 21. Factor q(p).
-3*(p + 8)**2/8
Let g = 4 + 4. Factor -2*u - g*u**2 - 9*u**2 - 28*u**4 - 42*u**3 - u**3.
-u*(u + 1)*(4*u + 1)*(7*u + 2)
Factor 20 - 25/2*u**3 - 5/2*u**4 - 15*u**2 + 10*u.
-5*(u - 1)*(u + 2)**3/2
Let k be (3/(-4))/(1/(-8)). Suppose 3*r - 6*r + k = 0. Suppose 2/3*u**r - 16/3*u**3 + 32/3*u**4 + 0*u + 0 = 0. What is u?
0, 1/4
Suppose -3*q = 3 - 9. Factor -2*h + q + h**3 + 1/2*h**4 - 3/2*h**2.
(h - 1)**2*(h + 2)**2/2
Suppose -2*m - m = -m. Let r(z) be the third derivative of m*z + 1/50*z**5 + 0*z**3 + z**2 - 1/75*z**6 + 0 + 1/60*z**4. Determine q so that r(q) = 0.
-1/4, 0, 1
Let r(t) be the first derivative of t**5/9 + t**4/18 - 5*t**3/27 - t**2/9 - 5. Suppose r(b) = 0. Calculate b.
-1, -2/5, 0, 1
Find a, given that 0 - 2/19*a + 2/19*a**2 = 0.
0, 1
Factor 1/5 + 1/5*l**2 + 2/5*l.
(l + 1)**2/5
Let u = -64 - -66. Factor -1/2*r**u + 1/4*r**3 + 1/4*r + 0.
r*(r - 1)**2/4
Suppose 165*s = 161*s + 3*f + 13, -4*f = 3*s - 16. Let u = 0 + 2. Find k, given that -2/5*k**s + 0*k**u + 4/5*k - 4/5*k**3 + 2/5 = 0.
-1, 1
Let a(y) be the first derivative of 2*y**5/7 + y**4/2 - 2*y**3/7 - y**2 - 4*y/7 + 5. Solve a(z) = 0 for z.
-1, -2/5, 1
Let h = -52 - -105/2. Factor -h*a**2 + 0 - 1/2*a.
-a*(a + 1)/2
Let f = 260 + -258. Factor 3/5*h**5 - 3/5*h**3 - 9/5*h**4 + 12/5 - 36/5*h + 33/5*h**f.
3*(h - 2)*(h - 1)**3*(h + 2)/5
Find n such that -14*n**2 - 2*n**3 + 14 + 16*n + 4*n**3 + 0*n**2 + 18 = 0.
-1, 4
Let f be 0 + 5/((-10)/(-8)). Factor -2*s**2 + 0*s**4 + 2*s**5 - 2*s**3 - 2*s**f + 4*s**4.
2*s**2*(s - 1)*(s + 1)**2
Let y = 8/75 - -619/525. Factor -y*h - 3/7*h**3 + 3/7 + 9/7*h**2.
-3*(h - 1)**3/7
Let z = -9 - -13. Factor z*f**2 - 6*f**2 + 5*f**2 - f**2 - 2*f**4.
-2*f**2*(f - 1)*(f + 1)
Let s(f) be the first derivative of -2*f**3/3 + f**2/3 - 13. Let s(y) = 0. What is y?
0, 1/3
Solve -4*c**2 - 3*c**5 - 33*c**5 - 12*c**4 + 84*c**3 - 64*c**3 = 0.
-1, 0, 1/3
Let x(s) = -2*s**3 + 2*s**2 + 13*s + 13. Let f(n) = n**3 - n**2 - 6*n - 6. Let k(h) = -13*f(h) - 6*x(h). Let k(m) = 0. Calculate m.
0, 1
Let b(z) = 2*z - 8. Let d be b(7). Let k be (d/5)/((-15)/(-50)). Factor -1/2*j**k - 1/2*j**5 + 0 + 1/2*j**2 + 0*j + 1/2*j**3.
-j**2*(j - 1)*(j + 1)**2/2
Let n be (8/10)/(2/5). Suppose -5*j = -n*j - 6. Suppose j*r**4 - 2*r**3 + 2*r**2 - 2*r**3 + 0*r**2 = 0. What is r?
0, 1
Let a = -513 + 513. Determine v, given that 0 + 0*v**2 + 1/2*v**4 - 1/2*v**3 + a*v = 0.
0, 1
Let v(t) = t**3 - 32*t**2 - 40*t - 7. Let u(h) = -16*h**2 - 20*h - 4. Let g(j) = 9*u(j) - 4*v(j). Let g(b) = 0. Calculate b.
-2, -1
Let v(n) = 0 + n - 7 + 4. Let q be v(6). Solve -s**2 + 0 - 1/3*s + 4/3*s**q = 0.
-1/4, 0, 1
Let i be (-3)/(-6)*(0 - -8). Suppose -c**3 + 12*c + 6 - 4*c**2 + 2 - i*c**3 - 7*c**3 - 4*c**4 = 0. Calculate c.
-2, -1, 1
Let z(w) be the second derivative of -w**7/189 + 2*w**6/135 - w**4/27 + w**3/27 + 2*w. Suppose z(c) = 0. Calculate c.
-1, 0, 1
Suppose 5 = 3*z - 10. Let t(f) be the second derivative of f + 0*f**4 + 1/135*f**6 + 0 + 2/27*f**3 - 1/45*f**z - 1/9*f**2. Determine k so that t(k) = 0.
-1, 1
Let t(h) be the first derivative of h**6/2 - 3*h**5/5 - 9*h**4/4 + h**3 + 3*h**2 - 15. Factor t(b).
3*b*(b - 2)*(b - 1)*(b + 1)**2
Let m = 40 - 37. Let u(t) be the second derivative of 0*t**4 - 2*t - 1/40*t**5 + 0*t**m + 0*t**2 + 1/60*t**6 + 0. Factor u(i).
i**3*(i - 1)/2
Factor 15/2*h**3 + 0 - 3*h - 27/2*h**2.
3*h*(h - 2)*(5*h + 1)/2
Let j(r) be the first derivative of 2/21*r**3 - 1/14*r**4 - 2/35*r**5 + 0*r + 1/21*r**6 + 0*r**2 + 3. Factor j(i).
2*i**2*(i - 1)**2*(i + 1)/7
Let c(a) = a**3 - a**2 - a + 1. Let i(h) = -h**4 - 5*h**2 - 3*h + 3. Let s(j) = 3*c(j) - i(j). Factor s(p).
p**2*(p + 1)*(p + 2)
Let j = -28/21083 + 3046732/8116955. Let r = j - -2/77. Solve 2/5*a**3 + 0*a**2 + 0 - r*a = 0.
-1, 0, 1
Let i be (-74)/(-14) + 6/(-21). Let w be (-10)/i - (-9)/4. Factor -1/4 + w*f**2 + 0*f.
(f - 1)*(f + 1)/4
Let q be (304/(-72) - -6) + 4/18. Suppose -2/5*u**q + 2*u**4 + 0*u + 2/5*u**3 + 6/5*u**5 + 0 = 0. What is u?
-1, 0, 1/3
Let y = 11 - 10. Let n be 0 + 20/25*y. Suppose 2*d**4 - 8/5*d + 8/5 - 6*d**2 - n*d**3 = 0. Calculate d.
-1, 2/5, 2
Let u be (8/(-6))/(20/(-12)). Let g(j) be the first derivative of -u*j + 1/2*j**4 + 4/15*j**3 - j**2 - 1. Factor g(k).
2*(k - 1)*(k + 1)*(5*k + 2)/5
Let 0*j - 1/6*j**2 + 0 - 1/6*j**3 = 0. What is j?
-1, 0
Let z(h) = 3*h**3 + h + 1. Let i be z(-1). Let n = i + 5. Factor 2*f**4 - 2*f**2 + 4 - n*f**2 - 2.
2*(f - 1)**2*(f + 1)**2
Let p be (-3)/(-4) - (66/(-12))/(-11). Factor 1/4*i**3 + 1/2 - 1/2*i**2 - p*i.
(i - 2)*(i - 1)*(i + 1)/4
Let z(a) be the second derivative of 1/180*a**6 + 0 + 0*a**3 - a - a**2 - 1/90*a**5 + 0*a**4. Let x(u) be the first derivative of z(u). Factor x(v).
2*v**2*(v - 1)/3
Let i(o) = -6*o**2 + 6*o - 4. Let l(h) be the second derivative of 7*h**4/12 - 7*h**3/6 + 5*h**2/2 + 3*h. Let b(v) = 5*i(v) + 4*l(v). Factor b(w).
-2*w*(w - 1)
Suppose -4*k = -2*k. Let i(c) be the third derivative of k*c**3 - 1/30*c**5 - c**2 + 0*c + 0 + 1/6*c**4. Factor i(j).
-2*j*(j - 2)
Suppose -2*x - 20 = -6*x. Let a(h) be the first derivative of 108/5*h**x - h**2 - 18*h**4 + 1 + 20/3*h**3 - 9*h**6 + 0*h. Factor a(m).
-2*m*(m - 1)*(3*m - 1)**3
Let p(c) be the second derivative of 0*c**4 + 0 - 3*c + 1/135*c**6 + 0*c**5 + 0*c**2 - 1/189*c**7 + 0*c**3. Factor p(f).
-2*f**4*(f - 1)/9
Factor -45*r - 675/2 - 3/2*r**2.
-3*(r + 15)**2/2
Suppose 10*g + 12 = 42. Let x = -71/133 + 21/19. Factor 0 - x*a**2 + 2/7*a**g + 2/7*a**4 + 0*a.
2*a**2*(a - 1)*(a + 2)/7
Let l = 43 + -25. Let z(o) = -o. Let h(k) = k**5 + 3*k**4 + 3*k**3 + k**2 - 9*k. Let n(r) = l*z(r) - 2*h(r). Factor n(w).
-2*w**2*(w + 1)**3
Determine x so that -4 + 3*x + 2*x**2 + 0*x - 2*x + x = 0.
-2, 1
Factor 1/4 - 1/2*t**2 + 1/4*t**4 + 0*t**3 + 0*t.
(t - 1)**2*(t + 1)**2/4
Let w(l) be the first derivative of -3*l**5/5 + l**3 + 19. Solve w(j) = 0.
-1, 0, 1
Suppose 0 = -2*j + 5 - 1. Factor 2*i**5 - 11*i**4 + 11*i**3 + 3*i**3 + i**4 - 6*i**j.
2*i**2*(i - 3)*(i - 1)**2
Let r(m) = 5*m**5 + 19*m**4 + 51*m**3 + 41*m**2 + 16*m. Let b(s) = 5*s**5 + 18*s**4 + 52*s**3 + 42*s**2 + 17*s. Let w(n) = 6*b(n) - 7*r(n). Factor w(l).
-5*l*(l + 1)**3*(l + 2)
Let m(a) = a**2 - 11*a + 13. Let d be m(10). Let f be d*(-4 - 62/(-15)). Factor -2/5*q**4 + 0*q - 2/5*q**3 + 0 + 2/5*q**2 + f*q**5.
2*q**2*(q - 1)**2*(q + 1)/5
Let a(g) be the third derivative of g**6/780 - 11*g**5/390 + 2*g**4/13 + 12*g**3/13 + 41*g**2. Determine u, given that a(u) = 0.
-1