*2/13
Find h such that h**5 - 21*h**4 + 119*h**3 + 29*h**2 - 1092*h - 980 = 0.
-2, -1, 7, 10
Factor -4*w**4 + 84*w**3 - 577*w**2 + 1428*w - 1156.
-(w - 2)**2*(2*w - 17)**2
Suppose l**3/4 - 29*l**2/4 + 30*l = 0. Calculate l.
0, 5, 24
Factor 21*h**3 - 66*h**2 - 9*h + 54.
3*(h - 3)*(h - 1)*(7*h + 6)
Solve -12*b**5/5 - 51*b**4/5 - 33*b**3/5 + 51*b**2/5 + 9*b = 0.
-3, -5/4, -1, 0, 1
Factor -28*g**2/3 + 32*g/3 + 20.
-4*(g + 1)*(7*g - 15)/3
Factor -3*v**4/4 + 657*v**3/2 - 149043*v**2/4 + 282510*v - 554700.
-3*(v - 215)**2*(v - 4)**2/4
Find w such that 945*w**3 - 1350*w**2 + 540*w - 40 = 0.
2/21, 2/3
Determine l, given that 4*l**4/5 - 16*l**3/5 = 0.
0, 4
Find h, given that -2744*h**5 + 17444*h**4 - 20468*h**3 + 9640*h**2 - 2032*h + 160 = 0.
2/7, 1/2, 5
Factor -5*u**4 + 40*u**3 - 110*u**2 + 120*u - 45.
-5*(u - 3)**2*(u - 1)**2
Factor -14*r**4 + 4*r**3 + 14*r**2 - 4*r.
-2*r*(r - 1)*(r + 1)*(7*r - 2)
Solve -2*h**3/7 + 226*h**2/7 - 6270*h/7 - 6498/7 = 0.
-1, 57
Factor 4*k**2 + 104*k - 348.
4*(k - 3)*(k + 29)
Solve -b**2 + 1198*b/3 - 133 = 0.
1/3, 399
Determine h, given that 4*h**5 - 56*h**4 + 84*h**3 + 160*h**2 - 176*h - 192 = 0.
-1, 2, 12
Suppose -4*h**5/7 - 8*h**4/7 + 52*h**3/7 + 8*h**2 - 96*h/7 = 0. What is h?
-4, -2, 0, 1, 3
Factor -25*d**2 + 1445*d + 290.
-5*(d - 58)*(5*d + 1)
Find c such that 2*c**5 - 268*c**4 + 8954*c**3 + 3248*c**2 - 112024*c + 143648 = 0.
-4, 2, 67
Factor -2*c**3 - 50*c**2 + 224*c - 232.
-2*(c - 2)**2*(c + 29)
Factor -2*i**4 + 172*i**3 - 3696*i**2 - 172*i + 3698.
-2*(i - 43)**2*(i - 1)*(i + 1)
Solve 12*g**2 - 94*g - 126 = 0.
-7/6, 9
Factor h**2 + 44*h + 484.
(h + 22)**2
Factor -2*u**4 + 20*u**3 - 26*u**2 - 120*u - 72.
-2*(u - 6)**2*(u + 1)**2
Factor -2*l**2/7 - 822*l/7 + 2484/7.
-2*(l - 3)*(l + 414)/7
Determine p, given that -4*p**2 - 48*p + 432 = 0.
-18, 6
Factor 4*d**5/5 - 108*d**3/5 + 216*d**2/5.
4*d**2*(d - 3)**2*(d + 6)/5
Factor -c**3/5 + 54*c**2 + 543*c/5 + 272/5.
-(c - 272)*(c + 1)**2/5
Factor -3*d**5/8 - 777*d**4/8 + 2349*d**3/8 - 2355*d**2/8 + 393*d/4.
-3*d*(d - 1)**3*(d + 262)/8
Factor 5*w**4 - 50*w**3 + 135*w**2 - 90*w.
5*w*(w - 6)*(w - 3)*(w - 1)
Find p, given that -3*p**3 + 90*p**2 - 483*p = 0.
0, 7, 23
Factor q**2 - 154*q + 5929.
(q - 77)**2
Find j such that -2*j**5 + 34*j**4 - 106*j**3 - 538*j**2 + 1908*j - 1296 = 0.
-4, 1, 2, 9
Factor 2*m**3/5 - 22*m**2 + 844*m/5 - 736/5.
2*(m - 46)*(m - 8)*(m - 1)/5
Suppose -4*j**2 + 12*j + 16 = 0. What is j?
-1, 4
Factor -400*b**3 - 27640*b**2 - 2761*b - 69.
-(b + 69)*(20*b + 1)**2
Find x, given that 40*x**5/3 + 940*x**4 + 15850*x**3 - 75605*x**2/3 + 12840*x - 2160 = 0.
-36, 1/2
Suppose 15*s**3 - 10*s**2 = 0. What is s?
0, 2/3
Solve 2*u**5 - 40*u**4 - 54*u**3 + 252*u**2 = 0 for u.
-3, 0, 2, 21
Let 5*b**2 - 55*b - 60 = 0. Calculate b.
-1, 12
Factor h**2/9 + 11*h/3 - 148/9.
(h - 4)*(h + 37)/9
Solve 4*w**5 - 4*w**4 = 0.
0, 1
Find v, given that -10*v**2 - 155*v - 210 = 0.
-14, -3/2
Factor -5*d**3 + 11825*d**2 + 23665*d + 11835.
-5*(d - 2367)*(d + 1)**2
Suppose -5*w**3/3 + 1230*w**2 - 302580*w + 24811560 = 0. What is w?
246
Let -2*m**2/13 + 6*m/13 = 0. Calculate m.
0, 3
Solve r**5 + 12*r**4 + 54*r**3 + 108*r**2 + 81*r = 0.
-3, 0
Find s, given that -21*s**3 + 106*s**2 - 89*s + 4 = 0.
1/21, 1, 4
Solve -k**5/6 + k**4 + 17*k**3/3 + 28*k**2/3 + 13*k/2 + 5/3 = 0.
-1, 10
Factor -q**3 + 32*q**2 - 61*q + 30.
-(q - 30)*(q - 1)**2
Let 55*d**4 + 2125*d**3 + 1310*d**2 - 760*d = 0. What is d?
-38, -1, 0, 4/11
Factor -50*v**5 - 1030*v**4 - 606*v**3 - 602*v**2/5 - 8*v.
-2*v*(v + 20)*(5*v + 1)**3/5
Find j such that 2*j**5/19 + 82*j**4/19 + 404*j**3/19 - 8604*j**2/19 + 31050*j/19 - 33750/19 = 0.
-25, 3
Factor 4*j**2/9 + 28*j/3 + 416/9.
4*(j + 8)*(j + 13)/9
Factor -t**2/5 + 7*t/5 - 12/5.
-(t - 4)*(t - 3)/5
Factor h**4/6 + 418*h**3/3 + 28981*h**2 - 175142*h/3 + 175561/6.
(h - 1)**2*(h + 419)**2/6
Factor 286225*z**3 - 87740*z**2 - 10075*z - 250.
5*(5*z - 2)*(107*z + 5)**2
Find b, given that b**4/3 + 10*b**3/3 + 13*b**2/3 - 8*b = 0.
-8, -3, 0, 1
Factor -3*n**2/7 + 1245*n/7 + 3762/7.
-3*(n - 418)*(n + 3)/7
Let 2*s**4/9 + 286*s**3/9 - 2*s**2/9 - 286*s/9 = 0. Calculate s.
-143, -1, 0, 1
Factor 5*p**2 + 15*p - 440.
5*(p - 8)*(p + 11)
Solve -4*p**4 - 180*p**3 - 2424*p**2 - 8960*p - 9600 = 0 for p.
-20, -3, -2
Suppose 3*k**5 + 9*k**4 - 51*k**3 - 81*k**2 + 264*k - 144 = 0. What is k?
-4, 1, 3
Factor -o**4 + 6*o**3 - 4*o**2 - 6*o + 5.
-(o - 5)*(o - 1)**2*(o + 1)
Solve -v**4 + 380*v**3/7 - 101*v**2/7 - 380*v/7 + 108/7 = 0 for v.
-1, 2/7, 1, 54
Factor -2*k**5/15 + 472*k**4/3 - 222784*k**3/3 + 52577024*k**2/3 - 6204088832*k/3 + 1464164964352/15.
-2*(k - 236)**5/15
Factor 3*g**3 + g**2 - 8*g + 4.
(g - 1)*(g + 2)*(3*g - 2)
Factor 3*o**2 - 1608*o + 215472.
3*(o - 268)**2
Let -4*p**3/7 - 36*p**2/7 + 12*p - 44/7 = 0. What is p?
-11, 1
Factor -15*b**3 + 350*b**2 + 245*b - 120.
-5*(b - 24)*(b + 1)*(3*b - 1)
Solve 3*b**3 + 687*b**2 - 1386*b = 0.
-231, 0, 2
Factor -3*j**2/7 + 15*j/7 + 150/7.
-3*(j - 10)*(j + 5)/7
Let w**4/2 - 75*w**3/2 + 877*w**2/2 + 22575*w/2 - 24037 = 0. Calculate w.
-13, 2, 43
Factor -4*m**2 - 488*m - 484.
-4*(m + 1)*(m + 121)
Factor -2*u**5 - 3*u**4 + 2*u**3 + 4*u**2 - 1.
-(u - 1)*(u + 1)**3*(2*u - 1)
Factor -p**3 + 19*p**2 - 99*p + 81.
-(p - 9)**2*(p - 1)
Factor 38*s**4 + 262*s**3 + 428*s**2 - 48*s.
2*s*(s + 3)*(s + 4)*(19*s - 2)
What is w in -2*w**2/5 + 28992*w/5 - 105067008/5 = 0?
7248
Determine m, given that -m**5/10 + 19*m**4/10 - 49*m**3/5 + 31*m**2/5 + 99*m/10 - 81/10 = 0.
-1, 1, 9
Factor -8*q**3/5 + 578*q**2/5 - 10512*q/5 + 2592/5.
-2*(q - 36)**2*(4*q - 1)/5
What is x in 2*x**2/17 + 36*x/17 - 80/17 = 0?
-20, 2
Solve -186*l**2/5 - 34*l + 16/5 = 0.
-1, 8/93
Find h, given that -2*h**2/3 + h/2 + 1/6 = 0.
-1/4, 1
Factor 3*z**3/5 - 4224*z**2/5 + 1486848*z/5.
3*z*(z - 704)**2/5
Solve 2*r**3 + 76*r**2 - 78*r = 0.
-39, 0, 1
Factor -4*h**3 + 8*h**2 + 212*h + 360.
-4*(h - 9)*(h + 2)*(h + 5)
Determine v so that -2*v**4 - 2*v**3 + 18*v**2 + 18*v = 0.
-3, -1, 0, 3
Factor -2*j**2/9 + 36*j - 322/9.
-2*(j - 161)*(j - 1)/9
Factor -2*l**3/5 + 1778*l**2/5 - 78854*l - 79210.
-2*(l - 445)**2*(l + 1)/5
Factor 2*i**3/15 - 12*i**2/5 - 38*i/15.
2*i*(i - 19)*(i + 1)/15
Solve -q**4/2 + 15*q**3/2 - 71*q**2/2 + 129*q/2 - 36 = 0 for q.
1, 3, 8
Determine j so that 5*j**2 + 520*j - 2725 = 0.
-109, 5
Find t such that -3*t**5/4 + 57*t**4/4 - 243*t**3/4 - 273*t**2/4 + 915*t/2 + 450 = 0.
-2, -1, 5, 12
Factor 5*a**4 - 30*a**3 - 35*a**2.
5*a**2*(a - 7)*(a + 1)
Factor -3*s**2/4 + 3*s/4 + 9/2.
-3*(s - 3)*(s + 2)/4
What is w in 2*w**2 + 544*w + 36992 = 0?
-136
Let 3*f**3 + 213*f**2 + 3360*f + 15300 = 0. Calculate f.
-51, -10
Factor -3*y**2 - 39*y - 66.
-3*(y + 2)*(y + 11)
Let 2*z**3/13 - 42*z**2/13 - 44*z/13 = 0. Calculate z.
-1, 0, 22
Factor -5*o**2/2 - 4220*o - 1780840.
-5*(o + 844)**2/2
Factor 2*x**4 - 26*x**3 + 116*x**2 - 216*x + 144.
2*(x - 6)*(x - 3)*(x - 2)**2
Determine n, given that 7*n**4/2 - 1251*n**3/2 - 365*n**2/2 + 1251*n/2 + 179 = 0.
-1, -2/7, 1, 179
Let -6*i**3/11 - 18*i**2 - 1296*i/11 + 5832/11 = 0. What is i?
-18, 3
Factor 2775*n**3 + 2*n**2 - 2775*n - 2.
(n - 1)*(n + 1)*(2775*n + 2)
Solve -12*f**4 - 44*f**3 + 96*f**2 + 80*f = 0.
-5, -2/3, 0, 2
Factor 4*t**2/11 + 2778*t/11 - 1390/11.
2*(t + 695)*(2*t - 1)/11
Determine c so that 5*c**5 - 20*c**4 + 15*c**3 + 20*c**2 - 20*c = 0.
-1, 0, 1, 2
Find g such that g**5/6 + 4*g**4/3 + g**3/2 - 28*g**2/3 - 2*g/3 + 8 = 0.
-6, -4, -1, 1, 2
Solve w**5 - 215*w**4 + 12075*w**3 - 55125*w**2 = 0 for w.
0, 5, 105
Factor f**4 + 212*f**3 + 12043*f**2 + 84660*f + 72828.
(f + 1)*(f + 7)*(f + 102)**2
Let -2*m**3/13 - 44*m**2/13 - 170*m/13 = 0. What is m?
-17, -5, 0
Find k, given that 4761*k**5/7 + 1932*k**4 - 29496*k**3/7 - 30816*k**2/7 - 4656*k/7 - 192/7 = 0.
-4, -2/3, -2/23, 2
Solve -2*l**2/9 + 320*l/3 - 3808/9 = 0 for l.
4, 476
Suppose 2*x**5/13 + 6*x**4/13 - 12*x**3/13 - 20*x**2/13 + 42*x/13 - 18/13 = 0. Calculate x.
-3, 1
Let z**2/2 - 157*z/2 = 0. Calculate z.
0, 157
Let 2*t**2 + 90*t + 88 = 0. Calculate t.
-44, -1
Factor p**4/7 + 24*p**3/7 + 150*p**2/7 - 88*p/7 - 1815/7.
(p - 3)*(p + 5)*(p + 11)**2/7
Determine x so that 6*x**3/7 + 3*x**2 + 6*x/7 - 9/7 = 0.
-3, -1, 1/2
Solve 33*s**4 - 582*s**3 + 1731*s**2 + 3282*s + 936 = 0 for s.
-1, -4/11, 6, 13
Factor l**3 + l**2/3 - 4*l - 4/3.
(l -