 30. Factor w(l).
5*l**2*(l - 5)*(l - 2)*(l - 1)
Let f(a) be the first derivative of 2*a**3/27 - 304*a**2/9 + 46208*a/9 - 420. Factor f(q).
2*(q - 152)**2/9
Determine y so that 32/7*y**3 + 808/7*y + 460/7*y**2 - 4/7*y**4 + 384/7 = 0.
-6, -1, 16
Determine t so that -38642/9 - 2/9*t**2 + 556/9*t = 0.
139
Let r be ((-120)/65)/((-4032)/3744). Factor -r*n + n**2 + 0 - 1/7*n**3.
-n*(n - 4)*(n - 3)/7
Factor 3/2*x**2 - 483/2*x + 477.
3*(x - 159)*(x - 2)/2
Let i(c) be the second derivative of c**5/30 + 125*c**4/18 + 122*c**3/9 - 248*c**2/3 - 59*c - 9. Factor i(x).
2*(x - 1)*(x + 2)*(x + 124)/3
Let y(w) be the second derivative of -w**4/72 + 209*w**3/9 - 43681*w**2/3 + 42*w - 14. Find d, given that y(d) = 0.
418
Let w(r) be the third derivative of -r**8/6720 + r**7/1120 - r**6/720 - 95*r**3/6 + r**2 - 53. Let d(s) be the first derivative of w(s). Factor d(p).
-p**2*(p - 2)*(p - 1)/4
Suppose -26*m - 11*m + 9546 = 0. Let l = -256 + m. Find g such that -3 - 9/5*g**l + 48/5*g = 0.
1/3, 5
Let f be ((-50)/(-5) - 9) + -5. Let i be f/38 + 1239/399. Factor 0 + 2/7*v**2 + 2/7*v**4 + 4/7*v**i + 0*v.
2*v**2*(v + 1)**2/7
Let t(m) be the first derivative of -m**5 - 20*m**3 - 138 + 35/4*m**4 + 80*m - 10*m**2. Determine r, given that t(r) = 0.
-1, 2, 4
Suppose 276*q + 16 = 292*q. Let s be (-12 - -11) + 5 + (-1 - q). Solve -4/13*v + 4/13*v**3 - 2/13 + 0*v**s + 2/13*v**4 = 0.
-1, 1
Let t(b) be the third derivative of 21 + 91/144*b**4 + 1/720*b**6 + 49/12*b**3 + 17/360*b**5 + 5*b**2 + 0*b. Determine r, given that t(r) = 0.
-7, -3
Let v(q) be the first derivative of -q**6/24 - 3*q**5/4 + 25*q**4/12 - 65*q**2/2 + 1. Let y(d) be the second derivative of v(d). Factor y(s).
-5*s*(s - 1)*(s + 10)
Let p(w) be the third derivative of w**7/840 + w**6/480 - 2*w**2 - 776*w. Let p(u) = 0. Calculate u.
-1, 0
Let x be 0/((-2)/2*(-34 + 35)). Determine k so that 3/7*k**2 - 3/7*k**4 + 0 + x*k + 0*k**3 = 0.
-1, 0, 1
Let t = 1/25373 + 50743/76119. Factor -t*j**2 + 0 + 70/3*j.
-2*j*(j - 35)/3
Let a = 25463 + -77231/3. Let q = -280 - a. Solve -2/9*l**3 + 2/9*l - q*l**2 + 2/9*l**4 + 4/9 = 0 for l.
-1, 1, 2
Let l(v) be the third derivative of 3*v**8/112 - v**7/21 - 6*v**2 - 21. Factor l(p).
p**4*(9*p - 10)
Let q(c) be the third derivative of 0 + 0*c - 1/18*c**4 + 57*c**2 - 7/360*c**5 + 4/9*c**3 - 1/720*c**6. Solve q(w) = 0.
-4, 1
Let a = 9/34654 - -17309/69308. Factor -13/4 + 7/2*x**2 - 3*x**3 - a*x**4 + 3*x.
-(x - 1)**2*(x + 1)*(x + 13)/4
Let c(n) be the first derivative of -n**3/18 - 7*n**2/4 - 15*n + 1265. Determine j, given that c(j) = 0.
-15, -6
Suppose 140 = 6*n - n. Let g be (3 - 76/n)/(1/7). Find x, given that -8*x - 24*x**g + 3*x + 29*x**2 = 0.
0, 1
Let m(c) be the third derivative of -c**5/240 - 223*c**4/24 - 49729*c**3/6 - 593*c**2. Suppose m(l) = 0. What is l?
-446
Find p, given that -3/4*p**3 - 6561/4 - 1701/4*p + 153/4*p**2 = 0.
-3, 27
Suppose 0 = p - 4*b - 20, p - 4*b + 7*b = -8. Factor -3*j**p + 46 + 12*j - 49 + 0*j + 12*j**3 - 18*j**2.
-3*(j - 1)**4
Suppose -38*y + 7712 = -6*y. Factor o**5 + 19*o**4 + 115*o**3 + y*o**2 + 208*o + 23 + 16 + 25.
(o + 1)**3*(o + 8)**2
Let t = 445 - 443. Suppose -5*u**3 - 784 + 40*u**2 + 105*u**t + 1764 - 646*u - 474*u = 0. What is u?
1, 14
Let k(q) = -2*q**4 + 6*q**3 + 114*q**2 - 97*q + 3. Let t(w) = 8*w**4 - 26*w**3 - 448*w**2 + 389*w - 11. Let n(o) = -11*k(o) - 3*t(o). Factor n(y).
-2*y*(y - 10)*(y - 1)*(y + 5)
Suppose -9*x + 469 + 98 = 0. Let l be 4/(-12) - (0 + (-39)/x). Factor 0 + 0*h - 2/7*h**2 - l*h**3.
-2*h**2*(h + 1)/7
Let l(v) = -23*v - 33. Let x be l(-2). Suppose -6*y + 25 - x = 0. Suppose 0 + 0*t + 2/9*t**y = 0. What is t?
0
Let m(q) be the second derivative of -q**5/100 - 731*q**4/30 - 88816*q**3/5 + 535824*q**2/5 + 83*q + 42. Factor m(b).
-(b - 2)*(b + 732)**2/5
Find a such that -315/4*a - 153/4*a**2 - 159/4 + 3/4*a**3 = 0.
-1, 53
Let d(n) = 20*n**2 - 14*n + 3. Let s be d(3). Factor -68*f**4 - 4*f**3 - 8*f**2 - 2*f**3 + s*f**4 - 71*f**4.
2*f**2*(f - 4)*(f + 1)
Suppose 6*w - 991 = 23. Suppose 8*m**4 + 6*m**2 + w*m - 197*m + 0*m**4 - 5*m**5 + 19*m**3 - 20*m**2 - 8 = 0. Calculate m.
-1, -2/5, 2
Let s(d) be the first derivative of 5*d**3/3 + 170*d**2 - 1825*d + 3914. Let s(o) = 0. What is o?
-73, 5
Let v(a) be the first derivative of -5*a**3/3 - 35*a**2/2 - 60*a - 1379. Factor v(c).
-5*(c + 3)*(c + 4)
Factor 1926*j + 160 - 76*j**2 - 3947*j + 1933*j + 4*j**3.
4*(j - 20)*(j - 1)*(j + 2)
Let z = -584 - -586. Find t, given that 290*t**z - 142*t**2 + 172*t - 152*t**2 = 0.
0, 43
Let w(t) be the second derivative of 1/150*t**5 - 1/90*t**4 + 0*t**3 + 0*t**2 - 17 - t. Find s such that w(s) = 0.
0, 1
Let o = -204326/429 + 15758/33. Factor 14/13*t - 2/13*t**2 + o.
-2*(t - 8)*(t + 1)/13
Let a(d) be the third derivative of -d**6/120 + d**5/2 + d**4/6 - 20*d**3 + 3*d**2 + 31. Factor a(j).
-(j - 30)*(j - 2)*(j + 2)
Let t(h) be the third derivative of 0*h + 0 - 30*h**2 + 0*h**3 + 1/240*h**6 + 1/120*h**5 - 1/48*h**4 - 1/420*h**7. Factor t(v).
-v*(v - 1)**2*(v + 1)/2
Let d(v) be the third derivative of v**7/1260 - v**6/180 - 7*v**5/90 - 2*v**4/9 - 3*v**2 - 165*v. Let d(a) = 0. Calculate a.
-2, 0, 8
Determine d so that -728*d**3 - 2632*d - 841*d**4 - 2408*d**2 + 885*d**4 + 156*d + 4*d**5 - 836 = 0.
-19, -1, 11
Let b = -20 - -20. Factor 4*u**3 + b*u**3 + 80*u - 4*u**2 - 104*u.
4*u*(u - 3)*(u + 2)
Suppose -6*n**5 + 2*n**5 + 28*n**3 + n**2 - 19*n**4 - 25*n**4 + 28*n**4 + 39*n**2 = 0. Calculate n.
-5, -1, 0, 2
Determine h, given that -266/5 + 534/5*h - 54*h**2 + 2/5*h**3 = 0.
1, 133
Let b(f) be the third derivative of f**8/2856 + f**7/595 - 19*f**6/1020 - f**5/170 + 3*f**4/34 + 631*f**2. Suppose b(z) = 0. Calculate z.
-6, -1, 0, 1, 3
Let h(b) = -b**2 - 4*b + 2. Let f be h(-4). Suppose 2*k + 199 = 3*y + 225, 0 = 3*k - 2*y - 24. Factor 0 + 10/11*c**3 + 2/11*c**5 + 0*c + 12/11*c**k + 0*c**f.
2*c**3*(c + 1)*(c + 5)/11
Let f be 2/(-36)*(0 + -3). Let y be 5/(-6)*-32*(-8)/80 + 3. Factor -4/3 + f*n**4 + 1/2*n**3 - y*n**2 - 2*n.
(n - 2)*(n + 1)*(n + 2)**2/6
Suppose 1651 + 5*h**2 + 95*h - 331 + 204*h - 549*h = 0. Calculate h.
6, 44
Let u(c) be the third derivative of 18*c**2 - 1/4*c**5 + 5/24*c**6 + 10/3*c**3 - 5/3*c**4 + 0*c + 0 + 1/21*c**7. Factor u(a).
5*(a - 1)*(a + 2)**2*(2*a - 1)
Let r = -738 - -742. Suppose 5*a + w - 24 = 0, -3*w + 3 = 2*a - r. Solve -14/11*n**3 + 6/11*n**2 + 4/11*n - 6/11*n**4 + 0 + 10/11*n**a = 0.
-1, -2/5, 0, 1
Let b(w) be the first derivative of -33 + 0*w + 7/4*w**4 + 0*w**2 + 5/6*w**3 - 3/10*w**5. Solve b(h) = 0.
-1/3, 0, 5
Factor 1755 + 1752 - 240*z + 36*z**3 - 5254 - 4*z**4 + 1747 - 32*z**2.
-4*z*(z - 6)*(z - 5)*(z + 2)
Factor 243/5 + 1/5*w**3 - 3*w**2 + 27/5*w.
(w - 9)**2*(w + 3)/5
Let c be (-2)/12*12/2. Let x be (-9)/((-72)/(-50))*c. Factor x*a + 4*a**3 + 3/4 + 14*a**2.
(a + 3)*(4*a + 1)**2/4
Let h(s) = s**2 - 6*s + 12. Let f be h(7). Solve -70*d**2 + 22 + 32*d**3 - 96*d - 7*d**4 + 10 + f*d**3 = 0 for d.
-1, 2/7, 4
Factor -6/13*m**3 - 8/13*m**2 + 0*m + 2/13*m**4 + 0.
2*m**2*(m - 4)*(m + 1)/13
Suppose 16 = -2*o + 2*v, -2*o + 7*v - 7 = 8*v. Let u be 0 + (0/o)/2. Factor -2/15*n**3 + u*n**2 + 0 + 2/15*n.
-2*n*(n - 1)*(n + 1)/15
Let g(h) be the second derivative of h**5/210 - 193*h**4/126 - 28*h**3/9 + 388*h**2/21 - 731*h. Suppose g(s) = 0. Calculate s.
-2, 1, 194
Suppose 16 = b + 3*c, -4*b = b + 5*c - 30. Let o be (3 - b) + 20/10. Suppose 9*d**3 - 58*d**o - 8*d**2 + 2*d**5 + 51*d**4 + 3*d**2 + d = 0. What is d?
0, 1/2, 1
Solve 111*x**4 - 156*x**4 - 2354*x**3 + 1807*x - 4082*x**2 - 10*x**5 + 462*x - 241*x**4 - 241*x = 0.
-13, -3, 0, 2/5
Let h(v) = v**3 - 10*v**2 + 8*v + 11. Suppose 0*z + 2*z - 18 = 0. Let j be h(z). Determine p, given that 3*p**2 - 4 - 5*p - 4*p**j + 0 + p = 0.
-2
Let p(c) be the third derivative of 0*c + 0*c**3 - 4/7*c**7 - 19/15*c**5 - 53/40*c**6 - 1/2*c**4 - 3*c**2 - 25/336*c**8 - 20. Solve p(l) = 0 for l.
-3, -1, -2/5, 0
Let a(l) = -4*l**3 - 3*l**2 + 761*l + 765. Let i be a(-1). Determine r, given that 11/7*r**4 + 24/7 + 1/7*r**i + 2*r - 15/7*r**3 - 5*r**2 = 0.
-12, -1, 1, 2
Let l(w) be the second derivative of -w**4/24 - 67*w**3/36 - 11*w**2/6 - 1108*w. Let l(r) = 0. Calculate r.
-22, -1/3
Let l = 31183 - 31183. Let i(m) be the second derivative of 8/3*m**4 - 1/5*m**5 + 30*m + l + 36*m**2 - 14*m**3. Let i(w) = 0. Cal