5.
-(b - 5)*(b + 7)**2*(2*b + 1)
Let -2*s**3/11 - 322*s**2/11 - 320*s/11 = 0. Calculate s.
-160, -1, 0
Determine w so that w**5 + 7*w**4 - 57*w**3 - 135*w**2 + 1188*w - 1620 = 0.
-10, -6, 3
Solve 35*m**2 - 950*m + 1040 = 0.
8/7, 26
Determine l, given that -3*l**2/4 - 7425*l - 326337/4 = 0.
-9889, -11
Solve 1215*p**5 - 1738935*p**4 + 5587080*p**3 + 5054180*p**2 + 1342240*p + 114240 = 0 for p.
-1/3, -2/9, 4, 1428
Solve x**2/4 + 649*x/4 + 2067 = 0 for x.
-636, -13
Solve -5*h**5 - 980*h**4 - 6665*h**3 - 9450*h**2 = 0 for h.
-189, -5, -2, 0
Factor -2*n**2/7 - 50406*n/7.
-2*n*(n + 25203)/7
Suppose -151*f**2/3 - 376*f/3 - 75 = 0. Calculate f.
-225/151, -1
Factor 5*m**3 - 18355*m**2.
5*m**2*(m - 3671)
Let -2*a**4 - 364*a**3 + 8696*a**2 - 56720*a + 81600 = 0. Calculate a.
-204, 2, 10
Factor 2*d**2/7 + 3382*d/7 - 6772/7.
2*(d - 2)*(d + 1693)/7
Determine s so that -2*s**3/15 - 1342*s**2/15 + 2702*s/5 - 4062/5 = 0.
-677, 3
Factor -2*s**2/9 + 4424*s/9 - 35264/9.
-2*(s - 2204)*(s - 8)/9
Factor c**2/2 + 23587*c/4 + 11793/4.
(c + 11793)*(2*c + 1)/4
Factor 3*g**3/8 - 217719*g**2/8 - 435447*g/8 - 217725/8.
3*(g - 72575)*(g + 1)**2/8
Suppose -u**2/2 + 13925*u - 193905625/2 = 0. What is u?
13925
Determine j so that -5*j**2 - 18070*j + 90475 = 0.
-3619, 5
Find j such that j**2/5 - 10088*j + 127209680 = 0.
25220
Determine a, given that 29*a**4/8 - 303*a**3/2 + 2025*a**2/2 + 12744*a + 2592 = 0.
-6, -6/29, 24
Factor -38*o**2 - 1148*o + 930.
-2*(o + 31)*(19*o - 15)
Factor -86*m**2/7 + 568*m/7 - 312/7.
-2*(m - 6)*(43*m - 26)/7
Factor 2*v**3 + 1128*v**2 - 10298*v + 9168.
2*(v - 8)*(v - 1)*(v + 573)
Solve -5*s**3 - 380*s**2 - 3825*s + 141750 = 0 for s.
-45, 14
Determine p, given that -2*p**3 - 2374*p**2 - 4734*p + 7110 = 0.
-1185, -3, 1
Solve 124*x**5 - 1868*x**4 - 6204*x**3 - 6164*x**2 - 1808*x + 144 = 0.
-1, 2/31, 18
Suppose -246230*n**3 + 1846715*n**2/2 + 984995*n/4 + 5 = 0. Calculate n.
-1/4, -1/49246, 4
Suppose -t**3 + 3963*t**2 - 3924360*t - 3928324 = 0. Calculate t.
-1, 1982
Factor 5*c**3 + 49770*c**2 + 397920*c + 795680.
5*(c + 4)**2*(c + 9946)
Solve 2*m**3 - 7612*m**2 + 22798*m + 76060 = 0.
-2, 5, 3803
Factor 5*q**5 - 21200*q**4 + 22472000*q**3.
5*q**3*(q - 2120)**2
Find c, given that -27*c**5 + 30612*c**4 - 84888*c**3 + 71262*c**2 - 10173*c - 6786 = 0.
-2/9, 1, 1131
Factor -5*s**3 + 385*s**2 - 1120*s + 740.
-5*(s - 74)*(s - 2)*(s - 1)
Factor -4*b**2/3 + 20480*b/3 + 6828.
-4*(b - 5121)*(b + 1)/3
Factor v**4 - 4133*v**3 + 20644*v**2 - 16512*v.
v*(v - 4128)*(v - 4)*(v - 1)
Factor -p**4 + 806*p**3 - 158329*p**2 - 1644240*p - 4161600.
-(p - 408)**2*(p + 5)**2
Factor -2*h**2 + 27850*h - 361712.
-2*(h - 13912)*(h - 13)
Let -2*x**4/13 + 824*x**3/13 - 30474*x**2/13 + 263844*x/13 + 656208/13 = 0. What is x?
-2, 21, 372
Determine z, given that 2457*z**4/5 + 2453*z**3/5 - 2461*z**2/5 - 2453*z/5 + 4/5 = 0.
-1, 4/2457, 1
What is z in z**5/6 + 4*z**4/3 - 19*z**3 + 116*z**2/3 + 113*z/6 - 40 = 0?
-16, -1, 1, 3, 5
Factor r**2/4 - 45*r/4 + 99.
(r - 33)*(r - 12)/4
Factor j**2/5 - 31*j/5 - 17052/5.
(j - 147)*(j + 116)/5
Factor 13*h**3 - 9929*h**2/2 - 573*h.
h*(h - 382)*(26*h + 3)/2
Determine p so that -3*p**4 - 1719*p**3 - 318918*p**2 - 19186560*p + 19507200 = 0.
-254, -160, 1
Factor 4*d**2 + 2683532*d - 2683536.
4*(d - 1)*(d + 670884)
Determine y so that 441*y**4/2 + 721*y**3/2 + 375*y**2/2 + 63*y/2 = 0.
-7/9, -3/7, 0
Suppose 2*v**5 + 16*v**4 - 32*v**3 - 124*v**2 + 30*v + 108 = 0. Calculate v.
-9, -2, -1, 1, 3
Factor -d**3/2 + 699*d**2 - 4176*d.
-d*(d - 1392)*(d - 6)/2
Determine p so that -4*p**4 - 1648*p**3 - 185024*p**2 - 3073280*p = 0.
-196, -20, 0
Factor p**5/2 + 7*p**4/2 - 17*p**3/2 + 9*p**2/2.
p**2*(p - 1)**2*(p + 9)/2
Solve 2*g**5/7 + 284*g**4/7 + 1926*g**3/7 + 700*g**2 + 5416*g/7 + 2160/7 = 0 for g.
-135, -2, -1
Factor -r**3 + 89*r**2 + 1105*r - 173225.
-(r - 65)**2*(r + 41)
Suppose a**3/4 + 6217*a**2/4 - 24881*a/4 + 18663/4 = 0. What is a?
-6221, 1, 3
Solve h**3 + 11912*h**2/9 - 17221*h/9 + 5300/9 = 0 for h.
-1325, 4/9, 1
Factor c**2 - 1063*c + 19836.
(c - 1044)*(c - 19)
Solve -3*n**3 - 765*n**2 + 3339*n + 59829 = 0.
-259, -7, 11
Let 3*b**3 + 1038*b**2 + 105792*b + 3361632 = 0. Calculate b.
-194, -76
Let 2*s**4 - 1642*s**3 + 36948*s**2 - 191232*s - 229824 = 0. What is s?
-1, 12, 798
Let -5*i**4 + 2375*i**3 + 9555*i**2 + 11965*i + 4790 = 0. What is i?
-2, -1, 479
Solve -o**2/5 - 931*o - 18604/5 = 0 for o.
-4651, -4
Let -2*f**3/13 - 480*f**2/13 + 47558*f/13 + 97020/13 = 0. Calculate f.
-315, -2, 77
Factor l**3/4 + 1425*l**2/4 + 34375*l/2.
l*(l + 50)*(l + 1375)/4
Find w such that -10*w**4 + 94*w**3 + 124*w**2 - 664*w + 240 = 0.
-3, 2/5, 2, 10
Factor v**3 - 39063*v**2 + 381694248*v - 4193911436.
(v - 19526)**2*(v - 11)
Find k such that 4*k**2 - 3924*k - 31648 = 0.
-8, 989
Find l such that 2*l**3/7 + 10270*l**2/7 - 392426*l/7 + 533558 = 0.
-5173, 19
Let 5*x**2 - 983980*x + 48410832020 = 0. Calculate x.
98398
Factor -2*y**3 + 1058*y**2 - 2108*y.
-2*y*(y - 527)*(y - 2)
Suppose -s**5/3 + 88*s**4/3 - 2138*s**3/3 + 20744*s**2/3 - 25887*s + 19656 = 0. What is s?
1, 9, 13, 56
Factor i**2 + 2901*i/4 + 725/4.
(i + 725)*(4*i + 1)/4
Suppose -2*u**3/3 + 5386*u**2/3 - 1196954*u - 15865278 = 0. Calculate u.
-13, 1353
What is q in -4*q**5 - 1800*q**4 - 213048*q**3 - 2381168*q**2 - 8720580*q - 9592200 = 0?
-219, -5, -2
Factor 2*p**4 + 24*p**3 - 1130*p**2 - 17352*p - 16200.
2*(p - 25)*(p + 1)*(p + 18)**2
Solve 2*n**4/11 + 18*n**3/11 - 380*n**2/11 - 2496*n/11 = 0 for n.
-16, -6, 0, 13
Find m, given that 2*m**4/9 - 32*m**3/3 + 1186*m**2/9 - 1412*m/3 + 496 = 0.
2, 3, 12, 31
Determine t, given that -3*t**2 - 3051*t - 21210 = 0.
-1010, -7
Let -6*o**4/7 - 55698*o**3/7 + 222858*o**2/7 - 278598*o/7 + 111444/7 = 0. Calculate o.
-9287, 1, 2
Factor 5*y**2 - 942800*y + 44443592000.
5*(y - 94280)**2
Solve -155332805*x**3 - 15171230*x**2 - 371260*x - 40 = 0.
-2/41, -2/18481
Factor 3*r**2/4 - 55944*r.
3*r*(r - 74592)/4
Factor g**3/9 - 10*g**2/9 - 53*g/9 - 14/3.
(g - 14)*(g + 1)*(g + 3)/9
Let -5*b**2 - 22380*b - 25043220 = 0. Calculate b.
-2238
Determine s so that -5*s**4 - 975*s**3 - 8320*s**2 + 9300*s = 0.
-186, -10, 0, 1
What is t in 3*t**4 + 681456*t**3 + 38698523325*t**2 - 681456*t - 38698523328 = 0?
-113576, -1, 1
Find c, given that 5*c**2 - 1550800*c + 120249032000 = 0.
155080
Let 62*d**4/5 - 58*d**3/5 - 1716*d**2/5 - 1232*d/5 + 2944/5 = 0. Calculate d.
-4, -2, 1, 184/31
Suppose -3*m**3/7 + 3*m**2 + 75*m/7 - 75 = 0. What is m?
-5, 5, 7
Factor -22*j**2/21 - 32*j/21 + 200/7.
-2*(j + 6)*(11*j - 50)/21
Suppose -2*h**2/3 - 14456*h - 78365976 = 0. What is h?
-10842
Solve -58*w**5 - 26866*w**4 + 21356*w**3 + 5568*w**2 = 0.
-464, -6/29, 0, 1
Factor -l**4/3 - 167*l**3/3 + 170*l**2/3 + 112*l.
-l*(l - 2)*(l + 1)*(l + 168)/3
Find p such that -2*p**3/7 - 80256*p**2/7 - 805128192*p/7 = 0.
-20064, 0
Let -2*f**4/15 + 1402*f**3/15 - 1396*f**2/15 - 560*f/3 = 0. Calculate f.
-1, 0, 2, 700
Factor a**3/5 + 5846*a**2/5 - 11699*a/5 - 17544/5.
(a - 3)*(a + 1)*(a + 5848)/5
Determine k so that 4*k**2/3 - 54136*k/3 + 183169156/3 = 0.
6767
Factor 3*m**2/2 + 237531*m/2 + 118764.
3*(m + 1)*(m + 79176)/2
Factor f**3/5 + 45552*f**2.
f**2*(f + 227760)/5
Factor 93*k**3 - 5874*k**2 + 90240*k + 79872.
3*(k - 32)**2*(31*k + 26)
Factor -3*w**2 + 26946*w.
-3*w*(w - 8982)
Solve 5*a**3/2 - 370*a**2 - 2255*a/2 - 755 = 0.
-2, -1, 151
What is c in -1615*c**2/6 - 845*c/2 - 460/3 = 0?
-1, -184/323
Factor -5*h**4 - 129000*h**3 - 832178990*h**2 - 1663971000*h - 831921005.
-5*(h + 1)**2*(h + 12899)**2
Determine m, given that 64827*m**2 + 77616*m + 23232 = 0.
-88/147
Factor -w**3 + 16329*w**2 - 32651*w - 48981.
-(w - 16327)*(w - 3)*(w + 1)
Factor -3*f**2 - 30573*f + 61158.
-3*(f - 2)*(f + 10193)
Determine b so that 12*b**5/7 + 5968*b**4/7 + 15852*b**3 + 32352*b**2/7 - 72656*b/7 = 0.
-478, -19, -1, 0, 2/3
Factor 2*r**2 + 6660*r - 66800.
2*(r - 10)*(r + 3340)
Factor -503*g**3/7 - 2013*g**2/7 + 6032*g/7 + 12/7.
-(g - 2)*(g + 6)*(503*g + 1)/7
Factor i**4/2 - 8652*i**3 + 37411244*i**2 + 149748816*i + 149783432.
(i - 8654)**2*(i + 2)**2/2
Find h, given that 747477*h**3 - 458160*h**2 + 71169*h - 294 = 0.
2/471, 7/23
Let l**2/4 + 1249*l/4 + 312 = 0. Calculate l.
-1248, -1
Factor 3*w**2 - 1056*w + 11253.
3*(w - 341)*(w - 11)
Find p such that p**4 - 12412*