+ 1/28*c**4. Factor w(t).
t*(t + 1)*(t + 9)/7
Factor -96*z - 17*z**4 - 64*z**2 + 9*z**3 + 10*z**4 + 10*z**4 + 10*z**2 + 288.
3*(z - 3)*(z - 2)*(z + 4)**2
Let r(n) be the third derivative of n**6/120 - 2*n**5/15 + n**4/2 + 5*n**2 + 5*n. Factor r(a).
a*(a - 6)*(a - 2)
Let j(y) be the third derivative of y**7/140 - 11*y**6/80 + y**5/5 + 5*y**4/4 - 73*y**2. Factor j(p).
3*p*(p - 10)*(p - 2)*(p + 1)/2
Let d(v) = -v**3 - v**2 + 44*v - 9. Let g be d(6). Factor 6*w**2 + 15/2*w + 3 + 3/2*w**g.
3*(w + 1)**2*(w + 2)/2
Factor 80*u**2 + 1296*u + 4*u**3 - 39*u**2 + 27*u**2 - 212*u**2.
4*u*(u - 18)**2
Let g(o) be the second derivative of -o**4/24 + o**3/12 + o**2/2 + 40*o. Solve g(i) = 0 for i.
-1, 2
Let a be 4/(-6) - 12/9. Let p = -2 - a. Factor 4 + 0*o**2 - 4*o**2 + p*o**2.
-4*(o - 1)*(o + 1)
Let r(j) be the first derivative of -2*j**5/35 - 3*j**4/14 + 4*j**2/7 + 74. Factor r(u).
-2*u*(u - 1)*(u + 2)**2/7
Let m(u) be the first derivative of -3*u**5/5 - 21*u**4/4 - 11*u**3 - 15*u**2/2 + 84. Factor m(b).
-3*b*(b + 1)**2*(b + 5)
Let d(m) = m + 2. Let o be d(0). Let y be (-4)/14*(-140)/160. Find z such that -1/4 - y*z**o + 1/2*z = 0.
1
Let i = -348 + 1395/4. Let l(n) be the first derivative of -15/8*n**4 + 3/4*n + 5/2*n**3 + i*n**5 + 5 - 1/8*n**6 - 15/8*n**2. Factor l(y).
-3*(y - 1)**5/4
Let y(o) be the second derivative of 0 - 35/12*o**4 + 0*o**2 - 2*o - 5/6*o**3 - 5/6*o**6 - 11/4*o**5. Factor y(p).
-5*p*(p + 1)**2*(5*p + 1)
Let u(g) be the first derivative of g**7/2520 - g**6/1080 - g**5/72 - g**4/24 + 14*g**3/3 - 13. Let b(s) be the third derivative of u(s). Factor b(c).
(c - 3)*(c + 1)**2/3
Let h(y) be the third derivative of y**5/60 - y**4/3 - y**3 + 6*y**2. Let m be h(10). Solve 6 - 8*f - m + 2*f**2 - 4*f**2 = 0.
-2
Factor -1 - 9/4*b - 1/2*b**2.
-(b + 4)*(2*b + 1)/4
Find d such that 88/3*d**2 + 4 - 56/3*d + 8/3*d**5 - 16*d**3 - 4/3*d**4 = 0.
-3, 1/2, 1
Factor -128*b**2 - 40*b - 45*b + 123*b**2.
-5*b*(b + 17)
Let t = 83 + -78. Let m be 18*(18/(-8))/9 + t. Find d, given that m*d**2 + 1/2*d**3 + 0 - 1/2*d**4 - 1/2*d = 0.
-1, 0, 1
Let b(r) = -5*r**2 + 2*r - 6. Let m be (-1 - 2)/((-4)/(-8)). Let d(c) = -c**2 + c - 1. Let z(o) = m*d(o) + b(o). Suppose z(i) = 0. Calculate i.
0, 4
Let d(s) = s**3 + s**2 - 2*s. Let i(a) = -6*a**3 + 34*a**2 - 56*a - 100. Let m(k) = 2*d(k) + i(k). Let m(v) = 0. Calculate v.
-1, 5
Let c = 305 + -305. Let r(j) be the second derivative of c + 0*j**2 + 6*j - 1/36*j**4 + 1/18*j**3. Solve r(m) = 0.
0, 1
Let m(v) be the second derivative of -v**5/20 + 23*v**4/12 - 20*v**3 - 72*v**2 - 21*v. Factor m(r).
-(r - 12)**2*(r + 1)
Let w(r) be the third derivative of -r**8/336 - r**7/210 + r**6/60 - 59*r**2. Factor w(k).
-k**3*(k - 1)*(k + 2)
Let k(m) be the first derivative of 1/12*m**3 + 0*m**2 + 0*m - 19 - 1/16*m**4. Factor k(u).
-u**2*(u - 1)/4
Suppose k - 3*s = 23, 2*k = 3*k + s - 19. Suppose 13 = k*t - 27. Factor -2/5 - 8/5*p + 2*p**t.
2*(p - 1)*(5*p + 1)/5
Let d = -119 + 118. Let p be ((-30)/18 + d)*-1. Determine u so that 4*u**3 - 8/3*u**4 + 2/3*u + 2/3*u**5 + 0 - p*u**2 = 0.
0, 1
Factor 0*y + 5/2*y**3 + 0 - 5/2*y**4 + 15*y**2.
-5*y**2*(y - 3)*(y + 2)/2
Solve -12/5*m**4 + 12/5*m**2 - 3/5*m**3 + 3/5*m**5 + 0*m + 0 = 0 for m.
-1, 0, 1, 4
Let 0 + 1/2*x**4 - 2*x**3 - 16*x**2 + 0*x = 0. Calculate x.
-4, 0, 8
Let d(r) be the second derivative of 0*r**2 + 0 - 6*r - 1/27*r**4 + 0*r**3. Factor d(c).
-4*c**2/9
Solve 21/4*b**3 + 51/4*b - 33/2*b**2 - 3/2 = 0.
1/7, 1, 2
Let r = 51514/193065 - 2/12871. Let 0*g**2 + r + 2/5*g - 2/15*g**3 = 0. Calculate g.
-1, 2
Let d = -1/1444 + 7947/7220. Let g = -13/30 + d. Let 2/3*o**2 + g*o**3 - 2/3 - 2/3*o = 0. What is o?
-1, 1
Let s(j) = j**2 + 9*j + 12. Let o be s(-7). Let l be o/(-4) - (-6)/(-24). Factor -l - 1/4*c**2 - 1/2*c.
-(c + 1)**2/4
Let b(q) be the second derivative of q**8/112 + q**7/70 - 3*q**6/40 - q**5/4 - q**4/4 - 5*q**2/2 - 10*q. Let f(p) be the first derivative of b(p). Factor f(h).
3*h*(h - 2)*(h + 1)**3
Suppose -210 - 35 = -35*z. Let j(x) be the second derivative of -3/140*x**5 + 0*x**4 + 10*x + 0 + 0*x**2 + 0*x**3 + 1/35*x**6 - 1/98*x**z. Factor j(h).
-3*h**3*(h - 1)**2/7
Let o(z) be the third derivative of z**7/1260 - z**6/180 + z**5/120 + z**4/36 - z**3/9 - z**2 + 35*z. Factor o(r).
(r - 2)**2*(r - 1)*(r + 1)/6
Let n(k) be the third derivative of 1/140*k**6 + k**4 + 0 - 7*k**2 + 2*k - 24/7*k**3 - 1/7*k**5. Suppose n(f) = 0. What is f?
2, 6
Let x = 63 - 61. Let s(h) be the first derivative of 1/3*h**3 - 1/2*h**x + 0*h - 5. Determine u, given that s(u) = 0.
0, 1
Suppose 0 = -4*v - v + 20. Suppose -6 + 24 = 3*t. Factor -27*l**2 + 11 + 8*l**3 + 7 - t*l - 6*l + 8*l**v + 5*l**2.
2*(l - 1)**2*(2*l + 3)**2
Let j = -24 - -12. Let q = j - -14. Factor r - q*r**2 - 4*r**3 + 8*r**4 + r**4 - 7*r**4 + 3*r**5.
r*(r - 1)*(r + 1)**2*(3*r - 1)
Let z(h) be the third derivative of -h**11/582120 - h**10/264600 - 17*h**5/60 - 16*h**2. Let m(y) be the third derivative of z(y). Factor m(w).
-4*w**4*(w + 1)/7
Let a = -2/2483 + 9950/22347. Let y(c) be the second derivative of 1/54*c**4 + 0 + a*c**2 + 9*c - 4/27*c**3. Factor y(g).
2*(g - 2)**2/9
Suppose -4*w - 2339 = 3*c, -6*w + 2*c = -2*w + 2334. Let a = w + 2929/5. Solve 0 - 2/5*s + 2/5*s**3 + a*s**2 - 9/5*s**4 = 0.
-1, 0, 2/9, 1
Let o be (-1)/1*(3 - 3). Suppose 0*d + 2/3*d**5 - 2/3*d**3 + 0*d**4 + o*d**2 + 0 = 0. Calculate d.
-1, 0, 1
Factor 0 + 1/5*w**5 + 28/5*w**2 - 19/5*w**3 + 2/5*w**4 - 12/5*w.
w*(w - 2)*(w - 1)**2*(w + 6)/5
Let t(f) = 30*f**2 + 1470*f + 46137. Let x(a) = 7*a**2 + 368*a + 11534. Let n(s) = 2*t(s) - 9*x(s). Factor n(k).
-3*(k + 62)**2
Let i(n) be the first derivative of 1/6*n**2 - 1/6*n**3 + 1/12*n**4 - 2 - 4*n - 1/60*n**5. Let k(x) be the first derivative of i(x). Factor k(c).
-(c - 1)**3/3
Let q(b) = 9*b**2 + 6. Let z(s) = -26*s**2 + s - 17. Let f be (5 - (-210)/(-25))/(5/(-25)). Let j = -16 + 22. Let n(i) = f*q(i) + j*z(i). Factor n(w).
-3*w*(w - 2)
Let m(l) be the first derivative of -l**4/2 + 68*l**3 - 95. Suppose m(o) = 0. Calculate o.
0, 102
Suppose -41*j = 24*j - 141 - 184. Factor -1/5*a**3 + 1/10*a**j + 1/5 - 1/5*a**4 + 4/5*a**2 - 7/10*a.
(a - 1)**4*(a + 2)/10
Let q be (-9)/(-12)*6/18. Suppose 6*o - 3*d - 11 = 8*o, 4*d + 20 = 0. Factor 0*f - q*f**o + 1/4.
-(f - 1)*(f + 1)/4
Let n be (57/9)/((-3)/27). Let h = -10 - n. Factor 2 + h*t**4 + t**3 + t**2 - 48*t**4 - t - 2.
-t*(t - 1)**2*(t + 1)
Let f be (-2 + 0)*(-876)/2920. Factor -3/5*l + 0 + f*l**2.
3*l*(l - 1)/5
Let o(s) be the second derivative of s**5/16 - s**4/16 - 24*s - 8. Factor o(r).
r**2*(5*r - 3)/4
Let 0 - 10/13*k**4 + 40/13*k**2 + 2/13*k**5 + 4/13*k**3 - 48/13*k = 0. What is k?
-2, 0, 2, 3
Let i(c) be the third derivative of -c**7/42 - 5*c**6/6 - 13*c**5/2 + 275*c**4/6 - 605*c**3/6 + 2*c**2 - 51. Factor i(f).
-5*(f - 1)**2*(f + 11)**2
Let v(m) = -m**2 - 36*m - 313. Let u be v(-21). Determine t so that -1/2*t + 1/4*t**u + 1/4*t**3 + 0 = 0.
-2, 0, 1
Let m(i) be the second derivative of i**7/280 - i**6/60 - 3*i**5/40 + 10*i**3/3 + 20*i. Let d(l) be the second derivative of m(l). Suppose d(r) = 0. What is r?
-1, 0, 3
Let i = -391714/13 - -30132. Suppose 0*c**3 - 4/13*c + 6/13*c**2 + 0 - i*c**4 = 0. What is c?
-2, 0, 1
Let c(z) be the first derivative of z**6/3 - 8*z**5/5 - 11*z**4/2 - 4*z**3 + 51. Solve c(j) = 0.
-1, 0, 6
Let s be (4 - 5)*5*-1. Determine j so that 23*j + 27*j**2 + 3*j**2 - 452*j**3 + 5 + s*j**4 + 472*j**3 - 3*j = 0.
-1
Let m(i) = -22*i**2 + 34*i - 94. Let r(y) = -2*y**2 - 1. Let j(x) = -2*m(x) + 20*r(x). Factor j(k).
4*(k - 14)*(k - 3)
Let d(a) be the third derivative of a**7/665 - 23*a**6/1140 + 13*a**5/570 + 7*a**4/228 + 268*a**2. Let d(j) = 0. Calculate j.
-1/3, 0, 1, 7
Let f(j) be the first derivative of -7 - 3/4*j**4 + 0*j - 3*j**3 + 0*j**2. Let f(b) = 0. What is b?
-3, 0
Let c(o) be the first derivative of -o**6/21 - 6*o**5/7 - 11*o**4/7 + 36*o**3/7 + 23*o**2/7 - 78*o/7 + 22. Find h, given that c(h) = 0.
-13, -3, -1, 1
Let r(v) be the third derivative of 2*v**7/735 + 19*v**6/210 + 97*v**5/105 + 15*v**4/14 - 108*v**3/7 - 100*v**2. Solve r(y) = 0 for y.
-9, -2, 1
Suppose -7 - 2 = -3*k. Suppose k*n + 4*h - 10 = -2*n, n - 2 = 3*h. Factor 15*q**3 - 10*q**3 - 2*q**4 + 3*q**3 - 11*q**n + 3*q**2.
-2*q**2*(q - 2)**2
Let j be (-294)/(-18)*15/105. Factor -f**2 - j*f - 