 + 3*g**4 - 5*g**3 - 15*g**2 + 4*g + 9. Let v(c) = c**5 + 2*c**4 - 6*c**3 - 16*c**2 + 5*c + 10. Let d(j) = 3*v(j) - 4*w(j). Factor d(l).
-(l - 1)**2*(l + 1)**2*(l + 6)
Let a(y) be the third derivative of y**8/1344 - y**7/280 + y**6/160 - y**5/240 - 3*y**2. What is u in a(u) = 0?
0, 1
Let u(c) be the third derivative of c**7/1365 - c**6/780 + 10*c**2. Suppose u(f) = 0. Calculate f.
0, 1
Let y = 17 + -65/4. Let o(j) be the first derivative of 3 + 1/4*j**2 + 3/16*j**4 - y*j**3 + 0*j + 1/5*j**5. Determine b, given that o(b) = 0.
-2, 0, 1/4, 1
Suppose 12 = -4*x + x. Let b = x + 6. Let -z**3 - z - b + 1 + 2*z + z**2 = 0. Calculate z.
-1, 1
Let x(l) be the third derivative of -l**8/28 + 8*l**7/105 - l**6/30 + 3*l**2. Factor x(t).
-4*t**3*(t - 1)*(3*t - 1)
Let g(y) = -y**3 + 2*y**2 - 5*y + 4. Let h be g(1). Factor 4/11*u**2 + 0*u**3 + h*u - 2/11 - 2/11*u**4.
-2*(u - 1)**2*(u + 1)**2/11
Suppose 5*w + x = -x - 17, 0 = -3*w + x - 8. Let d(n) = n**2 - 4. Let c be d(w). Let -2/3*g**c + 0*g**2 + 0*g - 4/3*g**4 + 0 - 2/3*g**3 = 0. Calculate g.
-1, 0
Let o(p) be the first derivative of 1/15*p**3 + 3 - 3/5*p**2 + 9/5*p. Factor o(u).
(u - 3)**2/5
Let 0 - 2/11*z**4 + 2/11*z**2 - 2/11*z + 2/11*z**3 = 0. Calculate z.
-1, 0, 1
Let x be (-2586)/1260 + 4/14. Let i = x + 13/6. Determine p so that 38/5*p**3 - 6*p**2 + 4/5 - 14/5*p**4 + i*p = 0.
-2/7, 1
Factor 0*a**3 - 12/5*a**2 + 0*a + 0 + 3/5*a**4.
3*a**2*(a - 2)*(a + 2)/5
Let q(a) be the first derivative of -4/9*a**6 + 26/15*a**5 - 1/3*a**2 + 0*a - 5/2*a**4 + 14/9*a**3 - 3. Let q(k) = 0. What is k?
0, 1/4, 1
Suppose 4*x + 2*n = -50, x + 3*n = -2*n + 1. Let f be (-4)/x - (-40)/7. Determine g, given that -4*g**2 - f*g**3 - 2*g**2 + 2*g - 2*g**4 - 4*g = 0.
-1, 0
Let v = -5956/5 + 1192. Find t, given that v*t**2 + 2*t + 4/5 = 0.
-2, -1/2
Let y(c) be the third derivative of 1/108*c**4 + 1/270*c**6 + 0 - 2*c**2 + 0*c**3 + 0*c - 1/90*c**5. Factor y(w).
2*w*(w - 1)*(2*w - 1)/9
Let c = -2/47 + 89/987. Let x(n) be the first derivative of 3/14*n**4 + c*n**6 + 0*n**2 + 6/35*n**5 + 1 + 0*n + 2/21*n**3. Factor x(m).
2*m**2*(m + 1)**3/7
Suppose 2 = 2*l - l. Factor -6/7*d**l + 4/7*d + 0 + 2/7*d**3.
2*d*(d - 2)*(d - 1)/7
Solve 0 + 3*c + 69/4*c**3 - 21/4*c**4 - 15*c**2 = 0.
0, 2/7, 1, 2
Let c(q) be the third derivative of -q**5/750 + 7*q**4/150 - 49*q**3/75 - 12*q**2. Factor c(p).
-2*(p - 7)**2/25
Factor -4/11*i - 2/11*i**3 + 0 - 6/11*i**2.
-2*i*(i + 1)*(i + 2)/11
Find b, given that -4*b**3 + 10*b**2 + 0*b**3 - 8 - 3*b**2 + b**2 + 4*b = 0.
-1, 1, 2
Let n(j) = -15*j**3 + 4*j**2 + 15*j + 7. Let o(d) = 4*d**3 - d**2 - 4*d - 2. Let b(x) = -6*n(x) - 22*o(x). Factor b(f).
2*(f - 1)**2*(f + 1)
Let k be 0 + (2 - 3)*1. Let x(v) = -v**2 - 2*v - 1. Let n be x(k). Suppose -1/3*p**5 + 0*p**2 + n - 1/3*p**3 - 2/3*p**4 + 0*p = 0. Calculate p.
-1, 0
Let -1 + 2*g**3 - 9*g**3 - 5*g**3 - 20*g**2 - 4*g + 5 = 0. Calculate g.
-1, 1/3
Let q(b) be the third derivative of -b**5/60 + b**3/6 - b**2. Factor q(v).
-(v - 1)*(v + 1)
Let x(f) = -17 + 20*f**2 - 84*f + f**2 - 8*f**2 + 14*f**3. Let w(c) = 9*c**3 + 9*c**2 - 56*c - 11. Let m(h) = 7*w(h) - 5*x(h). Solve m(g) = 0.
-2, -2/7, 2
Let c(d) = -d - 3*d + 3*d + 0*d. Let o(t) = 2*t**2 + 4*t - 4. Let f(i) = 2*c(i) + o(i). Factor f(s).
2*(s - 1)*(s + 2)
Let g = -1 - -1. Suppose 0 = -2*s - g*s + 10. Factor -1 + 3*u**5 - s*u**4 - 6*u**5 - 10*u**3 - 10*u**2 - 5*u + 2*u**5.
-(u + 1)**5
Determine h, given that 12*h + 29*h**2 + 24*h - 8 + 15*h**2 = 0.
-1, 2/11
Let z(v) be the first derivative of v**4/12 - 4*v**3 + 72*v**2 - 576*v + 14. Factor z(u).
(u - 12)**3/3
Factor -4/11*l + 0 - 18/11*l**3 + 10/11*l**4 - 2/11*l**5 + 14/11*l**2.
-2*l*(l - 2)*(l - 1)**3/11
Let f(d) be the first derivative of d**6/135 + d**5/90 + d - 5. Let w(m) be the first derivative of f(m). Determine t so that w(t) = 0.
-1, 0
Suppose -2*n = -n - 2. Solve -5*w**2 - 3*w**3 + 11*w - 9 + 10*w + n*w**2 - 6*w = 0.
-3, 1
Let j(y) be the first derivative of -9*y**5/50 + 4*y**4/5 - 13*y**3/15 + 2*y**2/5 - 5*y - 6. Let i(g) be the first derivative of j(g). Factor i(s).
-2*(s - 2)*(3*s - 1)**2/5
Suppose 2*k = 4*v - 5 - 15, 3*v = -5*k + 2. Let f(w) be the second derivative of 3*w + 0*w**2 + 1/48*w**v + 1/40*w**5 + 0 + 0*w**3 + 1/120*w**6. Factor f(n).
n**2*(n + 1)**2/4
Factor -18/7*k**2 - 96/7*k - 128/7.
-2*(3*k + 8)**2/7
Let r be (-40)/(-48) + 33/(-126). Factor 0 + r*t + 3/7*t**3 + 8/7*t**2.
t*(t + 2)*(3*t + 2)/7
Let k be 0 + 9 + (10 - 14). Let v(y) be the third derivative of -3*y**2 + 0*y + 0*y**4 + 0*y**3 - 1/80*y**6 + 0 + 0*y**k - 1/140*y**7. Factor v(g).
-3*g**3*(g + 1)/2
Let b be -2 + 3/(3 - 0). Let h(z) = -6*z - 1. Let s be h(b). Factor -2*y - 2*y**4 - s*y**2 - 6*y**4 + 14*y**3 + y**2.
-2*y*(y - 1)**2*(4*y + 1)
Let a(p) = 3*p**3 - 4*p**3 - 7 + 7. Let s(d) = -4*d**3 + 4*d**2 + 5*d + 2. Let k(l) = 15*a(l) - 3*s(l). Factor k(f).
-3*(f + 1)**2*(f + 2)
Let q(u) be the third derivative of -u**5/20 + u**4/4 + u**2. Factor q(w).
-3*w*(w - 2)
Let a(m) be the third derivative of 21*m**6/200 + 37*m**5/100 + 13*m**4/30 + 2*m**3/15 + 4*m**2. Suppose a(u) = 0. Calculate u.
-1, -2/3, -2/21
Let g(x) be the second derivative of x**6/135 + x**5/18 + 7*x**4/54 + x**3/9 - 2*x. Factor g(l).
2*l*(l + 1)**2*(l + 3)/9
Let h = -3 - -6. Let y = h - -1. Solve 0*w - 2 + 0*w**3 - 2*w + 2*w**2 - 2*w**3 + y*w = 0 for w.
-1, 1
Suppose 4*x = 11 + 5. Let r be 4/(-48)*-4*x. Solve 2/3*i**3 + 2/3*i + 0 - r*i**2 = 0.
0, 1
Let c(f) be the first derivative of 2*f**3/3 + 6*f**2 + 52. Determine h so that c(h) = 0.
-6, 0
Determine k so that -5*k**2 + 4*k**2 + 20*k - 74 - 33 + 7 = 0.
10
Let n(w) be the second derivative of -1/20*w**6 + 5*w + 0 - 1/8*w**7 + 0*w**3 + 0*w**4 + 0*w**5 + 0*w**2. Factor n(k).
-3*k**4*(7*k + 2)/4
Factor 0*d**3 - 12*d**2 + 6*d**3 - 10*d**3.
-4*d**2*(d + 3)
Let o(l) be the first derivative of 2/21*l**3 - 8/7*l - 7 + 0*l**2. Factor o(k).
2*(k - 2)*(k + 2)/7
Suppose -2*h + 19 = p, p - 3 = h - 20. Suppose 8 = 5*r - h. Factor -3*s**5 - 3*s**5 + 3*s**5 - s**3 + r*s**3.
-3*s**3*(s - 1)*(s + 1)
Factor -8 - 16 + 5*n**2 + 39 - 23*n + 3*n.
5*(n - 3)*(n - 1)
Suppose -3*p + 0 = -9. Let 0 + 2 - z**2 - p*z + 2*z**2 = 0. Calculate z.
1, 2
Let z(t) be the first derivative of -4/9*t**2 + 1/18*t**4 - 4 + 16/9*t - 4/27*t**3. Factor z(p).
2*(p - 2)**2*(p + 2)/9
Let z be (-56)/9*(-273)/260. Let l(h) be the third derivative of 8/3*h**4 - 16/21*h**3 + z*h**6 - 28/5*h**5 - h**2 - 49/15*h**7 + 0*h + 0. Factor l(i).
-2*(7*i - 2)**4/7
Let f(v) = v. Let p(b) = 7*b**5 + b - 7*b**3 - 4*b + 2*b**4 + 7*b - 2*b**2. Let h = -29 - -25. Let z(d) = h*f(d) + p(d). Find t, given that z(t) = 0.
-1, -2/7, 0, 1
Let v = -102449 - -22026591/215. Let s = 6/43 + v. Factor 9/5*c**2 + c**4 + 0 + 12/5*c**3 + s*c.
c*(c + 1)**2*(5*c + 2)/5
Let s(w) = -w**3 + 6*w**2 + 9*w - 12. Let i be s(7). Factor 32/5 - 16/5*b + 2/5*b**i.
2*(b - 4)**2/5
Suppose 0 = -2*j + 3*q + 31, 3*q + 2*q = -15. Let z = j - 6. Factor -8/7*y**4 + 2/7*y + 2/7*y**z + 12/7*y**3 - 8/7*y**2 + 0.
2*y*(y - 1)**4/7
Factor 0*m - 3/2*m**5 + 0 - 6*m**4 - 9/2*m**3 + 0*m**2.
-3*m**3*(m + 1)*(m + 3)/2
Let h = 12 - 10. Let z(m) = m**3 - m + 1. Let u(k) = 2*k**3 + 3*k**2 - k - 3. Let l(g) = h*z(g) - 2*u(g). Let l(t) = 0. Calculate t.
-2, 1
Suppose -z + 19 = 4*k, 3*z + 1 - 6 = k. Factor z*t**4 - t**4 + t**4.
3*t**4
Let m(j) be the third derivative of -j**5/270 + 5*j**4/108 - 2*j**2 - 4. Factor m(d).
-2*d*(d - 5)/9
Let y be 1/5 - 63/(-135). Factor -8/3*x**2 - y - 8/3*x.
-2*(2*x + 1)**2/3
Let z(u) = -66*u**2 - 105*u - 27. Let r(f) = 5*f**2 + 8*f + 2. Let c be (-5)/1 + (5 - 2). Let y(x) = c*z(x) - 27*r(x). Factor y(a).
-3*a*(a + 2)
Let q(i) = -12*i**3 + 15*i**2 - 5*i + 2. Let z(x) = -x**3 + x**2. Let c(j) = 2*q(j) - 22*z(j). Factor c(v).
-2*(v - 2)*(v - 1)**2
Let g be (-8)/(-30)*(2 - (-1)/(-2)). Find c such that -4/5*c**3 - g + 2/5*c**2 + 4/5*c = 0.
-1, 1/2, 1
Let b = -3 - -7. Factor b*v - 2*v - v**3 - v**2 + 12 - 12.
-v*(v - 1)*(v + 2)
Suppose -3*t + 0 = -12. Suppose 0 = t*w + w. Factor w + 1/3*v - 1/3*v**2.
-v*(v - 1)/3
Suppose -2/7*m**2 + 2/7*m + 4/7 = 0. What is m?
-1, 2
Let t(g) be the third derivative of 4*g**7/105 + g**6/12 - g**5/10 - 5*g**4/12 - g**3/3 + 8*g**2. Find m such that t(m) = 0.
-1, -1/4, 1
Factor 2/7*w**5 + 0 + 0*w**4 - 4/7*w**3 + 2/7*w + 0*w**2.
2*