 - 2/5*v - 11. Factor n(s).
-2*(s - 1)**2*(s + 1)**2/5
Suppose -s = y + 5, 54*y - 23 = -s + 57*y. Factor -s*m**2 - 1/2*m**3 + 0*m + 0 + 1/4*m**4.
m**2*(m - 4)*(m + 2)/4
Let x = 1403/231 + -57/77. Let l(u) be the second derivative of 1/120*u**5 + 4/3*u**3 + 0 - 1/6*u**4 - 8*u - x*u**2. Factor l(z).
(z - 4)**3/6
Suppose 3*b - 4 = 8. Suppose 6*r = 5*r + b. Factor 3*k - 4*k**2 - 2*k**2 - 3*k**3 + 2 + r.
-3*(k - 1)*(k + 1)*(k + 2)
Let b(t) be the second derivative of -t**4/6 - 3*t**3 - 8*t**2 - t - 27. Factor b(k).
-2*(k + 1)*(k + 8)
Determine d so that 51/5*d + 21/5*d**2 + 27/5 - 3/5*d**3 = 0.
-1, 9
Let h(m) be the first derivative of -m**4/4 + 2*m**3 + m**2/2 - 6*m + 163. Factor h(i).
-(i - 6)*(i - 1)*(i + 1)
Find k, given that 12*k**3 - 3/2*k**4 - 30*k - 33/2*k**2 + 0 = 0.
-1, 0, 4, 5
Let g(q) = 9*q**4 + 43*q**3 - 48*q**2 + 2*q + 2. Let m(w) = 200*w**4 + 945*w**3 - 1055*w**2 + 45*w + 45. Let n(f) = 45*g(f) - 2*m(f). Find x such that n(x) = 0.
-10, 0, 1
Let m(o) be the first derivative of -o**4/4 - 2*o**3/3 + 3*o**2/2 + 81. Factor m(h).
-h*(h - 1)*(h + 3)
Suppose -2*y = -y - 4. Factor -q - y*q - 598*q**2 + 603*q**2.
5*q*(q - 1)
Let z(o) be the third derivative of o**6/1800 - o**5/150 - 17*o**3/6 + 14*o**2. Let v(p) be the first derivative of z(p). Factor v(u).
u*(u - 4)/5
Let f(t) be the third derivative of -27*t**2 + 1/144*t**6 + 1/252*t**7 + 0*t + 0*t**4 + 0*t**5 + 0 + 0*t**3. Factor f(w).
5*w**3*(w + 1)/6
Let z be (-7)/(462/(-4))*231/63. Let z*d**3 - 4/9*d + 2/3*d**4 + 0 - 2/3*d**2 + 2/9*d**5 = 0. Calculate d.
-2, -1, 0, 1
Let h(a) be the third derivative of -a**8/168 + 11*a**7/210 - a**6/12 - a**5/3 + a**4/2 + 3*a**3/2 - 4*a**2 + 8. Find o, given that h(o) = 0.
-1, -1/2, 1, 3
Let f(j) be the third derivative of -1/6*j**3 + 0*j - 1/12*j**4 + 3*j**2 - 1/60*j**5 + 0. Factor f(n).
-(n + 1)**2
Let u(h) be the third derivative of 0 - 1/8*h**3 - 1/160*h**5 - 3/64*h**4 + 0*h - h**2. Factor u(m).
-3*(m + 1)*(m + 2)/8
Determine v, given that -1/2 - 5/6*v**3 + 13/6*v + 11/6*v**2 = 0.
-1, 1/5, 3
Find h, given that -25440*h - 20*h**5 + 8340 - 1219 - 560*h**4 - 2665*h**3 + 4399 + 17165*h**2 = 0.
-16, 1, 3/2
Let x = 12253/542 - 29/271. Factor 0*o**2 + 0*o + 0 + 33/2*o**4 + 3*o**3 + x*o**5.
3*o**3*(3*o + 1)*(5*o + 2)/2
Factor -2*z + 4/3 + 1/3*z**2 + 1/2*z**3 - 1/6*z**4.
-(z - 2)**2*(z - 1)*(z + 2)/6
Let i(a) be the second derivative of -7*a**4/48 + 11*a**3/2 + 19*a**2/8 + 6*a - 4. Factor i(f).
-(f - 19)*(7*f + 1)/4
Let a(b) be the third derivative of 5/108*b**4 + 1/270*b**5 + 18*b**2 + 0 + 0*b + 4/27*b**3. Determine n so that a(n) = 0.
-4, -1
Let h(r) = -8*r**3 + 160*r**2 - 1277*r. Let a(p) = -9*p**3 + 160*p**2 - 1276*p. Let z(t) = -3*a(t) + 4*h(t). Find l such that z(l) = 0.
0, 16
Let o(m) be the first derivative of 0*m**4 - 1/160*m**5 + 0*m**2 + 0*m + 1/480*m**6 + m**3 + 1. Let i(t) be the third derivative of o(t). Factor i(l).
3*l*(l - 1)/4
Let i(q) be the second derivative of q**5/270 - q**4/54 + q**3/27 + 9*q**2/2 - 4*q. Let a(h) be the first derivative of i(h). Factor a(z).
2*(z - 1)**2/9
Let s = 37 - 22. Factor -7 + 1 - 4*o**5 - 2*o**2 - 4*o**2 - s*o + 12*o**3 + 7*o**5 + 12*o**4.
3*(o - 1)*(o + 1)**3*(o + 2)
Let c be (23 - 25) + 33/5. Find b, given that -c*b - 7/5*b**2 - 6/5 = 0.
-3, -2/7
Let t(b) be the second derivative of -11/7*b**2 + 10/21*b**3 + 0 + 1/42*b**4 - 2*b. Factor t(q).
2*(q - 1)*(q + 11)/7
Let w(s) be the third derivative of -s**6/135 + 19*s**5/54 - 46*s**4/9 - 16*s**3/3 + 3*s**2 + 106*s. What is y in w(y) = 0?
-1/4, 12
Let n(m) be the second derivative of -5/12*m**4 + 5*m**3 - 36*m - 25/2*m**2 + 0. Factor n(k).
-5*(k - 5)*(k - 1)
Let g(p) = 2*p**3 + 88*p - 187. Let l be g(2). Let b = -8 + 12. Factor 2/17*v**3 - 2/17*v**l + 0*v + 0*v**2 + 0 + 0*v**b.
-2*v**3*(v - 1)*(v + 1)/17
Let q = -382/3 - -129. Let k = -1002 - -1006. Factor -1/3*j**5 + 7/3*j**2 - 2/3*j - 3*j**3 + 0 + q*j**k.
-j*(j - 2)*(j - 1)**3/3
Find u such that -19/4*u**4 + 33/4*u**5 + 0 - 35/4*u**3 + 19/4*u**2 + 1/2*u = 0.
-1, -1/11, 0, 2/3, 1
Let t(y) be the first derivative of -y**5/20 + 33*y**4/16 - 109*y**3/6 - 225*y**2/2 - 162*y - 260. Suppose t(p) = 0. Calculate p.
-2, -1, 18
Determine g, given that -4/5*g**3 + 14/5*g**4 + 14/5 + 2/5*g**5 - 28/5*g**2 + 2/5*g = 0.
-7, -1, 1
Suppose 3532 = -2*r + 3*r. Let i be r/66 + 4/(-22). Find g, given that -i*g**5 - 20/3*g**2 - 22/3*g + 4/3 + 16/3*g**4 + 182/3*g**3 = 0.
-1, -2/5, 1/4, 1
Let t = 2859/2471 - 5/353. Determine o, given that 16/7*o**2 + t - 4/7*o**3 - 20/7*o = 0.
1, 2
Factor 56*h**4 - 118*h**4 - 9*h**3 + 60*h**4 - 2*h**2 - 5*h**2.
-h**2*(h + 1)*(2*h + 7)
Let a(q) be the third derivative of q**5/100 - 11*q**4/20 - 23*q**3/10 - q**2 + 124. Factor a(c).
3*(c - 23)*(c + 1)/5
Suppose u**4 + 12*u**2 + 23*u**5 + 28*u - 56*u**3 + 5*u**5 + 42*u**2 - 9*u**4 - 8 - 38*u**2 = 0. What is u?
-1, 2/7, 1
Let w(k) be the second derivative of k**4/54 - 25*k**3/9 - 76*k**2/9 - 8*k + 36. Factor w(d).
2*(d - 76)*(d + 1)/9
Let c(r) = -r**4 - r**3 - r + 1. Let s(x) = 38*x**4 + 304*x**3 - 192*x**2 + 17*x + 11. Let j(l) = -22*c(l) + 2*s(l). Determine f, given that j(f) = 0.
-7, 0, 2/7
Let d(s) = 22*s**3 - 15*s**2 - 128*s + 142. Let l(y) = -15*y**3 + 10*y**2 + 85*y - 95. Let h(w) = 5*d(w) + 7*l(w). Suppose h(a) = 0. What is a?
-3, 1, 3
Suppose 0 = -6*x + 50 + 4. Factor 16*c**2 - c**2 + 78*c**3 - 81*c**3 + x - 21*c.
-3*(c - 3)*(c - 1)**2
Let x(o) be the first derivative of 42*o**5/25 + 9*o**4 - 82*o**3/5 - 252*o**2/5 - 24*o - 120. Determine i so that x(i) = 0.
-5, -1, -2/7, 2
Suppose 5*d = -5, -d = 2*x - 10 + 11. Factor 0*z**3 + x*z + 0 + 3/7*z**5 + 3/7*z**4 + 0*z**2.
3*z**4*(z + 1)/7
Let h(z) be the first derivative of -15*z**4/4 - 132*z**3 - 438*z**2 - 288*z + 96. Find n, given that h(n) = 0.
-24, -2, -2/5
Suppose -5*j - 18 = -14*j. Suppose 2*r = -4, 5*m - 14 = -0*m + j*r. Factor 7/3*n**m - 2/3*n - n**3 + 0.
-n*(n - 2)*(3*n - 1)/3
Let f be -6*(154/378*3 + -3). Factor -f*l + 10 + 2/3*l**2.
2*(l - 15)*(l - 1)/3
Let l(m) be the third derivative of -2*m**7/945 - m**6/45 + m**5/9 - 4*m**4/27 + 17*m**2 + 1. Factor l(q).
-4*q*(q - 1)**2*(q + 8)/9
Suppose -12 = -5*g - l, -g + 623 = -3*l + 627. Find j such that 0*j - g*j**3 - 1/2*j**2 + 0 = 0.
-1/4, 0
Let f(o) = -o - 2. Let u be f(-5). Let v(r) be the second derivative of 0 - 1/45*r**6 + 2/5*r**5 - u*r**4 - 27*r**2 + 8*r + 12*r**3. Factor v(b).
-2*(b - 3)**4/3
Let o(x) be the first derivative of 38 + 1/23*x**4 + 2/115*x**5 + 2/23*x - 1/69*x**6 - 4/69*x**3 - 1/23*x**2. Solve o(h) = 0.
-1, 1
Let h(l) be the third derivative of l**10/15120 - l**9/3780 - l**8/1120 - 29*l**4/24 - 26*l**2. Let c(p) be the second derivative of h(p). Factor c(y).
2*y**3*(y - 3)*(y + 1)
Let z(d) be the first derivative of -10/13*d**2 + 2/13*d**4 - 6/13*d + 6/13*d**3 - 21. Let z(k) = 0. Calculate k.
-3, -1/4, 1
Let j(l) = 8*l**2 - 18*l - 5. Let g(s) = 20*s**2 - 56*s - 16. Let k(u) = -5*g(u) + 16*j(u). Factor k(w).
4*w*(7*w - 2)
Let p(l) be the third derivative of l**5/60 - l**4/3 - 3*l**3/2 - 722*l**2. Factor p(f).
(f - 9)*(f + 1)
Let w = -8999/21 + 1289/3. Factor -w + 2/7*z**2 + 6/7*z.
2*(z - 1)*(z + 4)/7
Let c(b) be the first derivative of -4*b**3/3 + 40*b**2 - 400*b - 21. Solve c(u) = 0 for u.
10
Let z = -101 + 107. Let q be -3 + (110/z)/5. Determine v, given that 2*v**4 - 16/9 + 56/9*v - q*v**3 - 52/9*v**2 = 0.
-2, 2/3, 1
Suppose 1/3*w - 1/3*w**3 + w**2 - 1 = 0. Calculate w.
-1, 1, 3
Let j(m) = m**4 + 9*m**3 + 2*m**2 + 3*m - 3. Let b(k) = -2 + k**4 + k**2 + 18*k**3 - 5 + 39*k - 32*k + 3*k**2. Let r(f) = 3*b(f) - 7*j(f). Factor r(w).
-w**2*(w + 2)*(4*w + 1)
Let t = -35/2 + 529/30. Let i(l) be the third derivative of 0*l + 0 - 1/6*l**4 + 1/30*l**6 + t*l**5 + 7*l**2 - 4/3*l**3. Determine z, given that i(z) = 0.
-2, -1, 1
Let a(x) be the second derivative of -x**6/120 + 3*x**5/80 + x**4/24 - x**3/2 + x**2 + 2*x - 2. Factor a(s).
-(s - 2)**2*(s - 1)*(s + 2)/4
Let s = 87 + -53. Suppose -15*d + 11 - s + 13 - 5*d**2 = 0. Calculate d.
-2, -1
Let w(i) be the second derivative of 28227*i**4/8 + 97*i**3 + i**2 + 156*i. Factor w(y).
(291*y + 2)**2/2
Let r be 0/((-130)/(-70) + 16/14). Determine h so that 1/4*h**2 + r*h + 1/4*h**3 + 0 = 0.
-1, 0
Suppose 41*w - 46*w + 2*j = -8, 0 = 4*w + 5*j - 13. Suppose -24/7*c**w + 0*c + 0 - 4/7*c**3 = 0