*b**2 + 71790*b + 215397.
-3*(b - 23933)*(b + 3)
Suppose -16*g**4 - 10400*g**3 + 349708*g**2 + 357500*g + 90024 = 0. What is g?
-682, -1/2, 33
Solve 4*h**2 + 3568*h + 773164 = 0.
-521, -371
Solve 5*d**3 - 1095*d**2 + 14470*d - 24600 = 0 for d.
2, 12, 205
Solve 15*d**5 + 1346*d**4 + 30000*d**3 - 9446*d**2 - 30015*d + 8100 = 0 for d.
-45, -1, 4/15, 1
Find c, given that -2*c**3 - 3904*c**2 - 15584*c = 0.
-1948, -4, 0
Factor 4*m**3 + 143440*m**2 + 143436*m.
4*m*(m + 1)*(m + 35859)
Factor 34*c**3/7 + 1104*c**2/7 - 594*c/7.
2*c*(c + 33)*(17*c - 9)/7
Find w, given that -2*w**3/9 - 9940*w**2/9 - 79424*w/9 - 52928/3 = 0.
-4962, -4
Determine o so that -3*o**2/2 + 9387*o - 37524 = 0.
4, 6254
Factor -2*l**2/3 - 272384*l/3 + 272386/3.
-2*(l - 1)*(l + 136193)/3
Let 3*h**2/2 - 74532*h - 149070 = 0. What is h?
-2, 49690
Find z such that 2*z**3/13 - 197824*z**2/13 - 197826*z/13 = 0.
-1, 0, 98913
Suppose j**5 + 221*j**4 - 3013*j**3 + 6919*j**2 + 30828*j - 68796 = 0. What is j?
-234, -3, 2, 7
Solve -2*b**4/5 + 208*b**3 - 14032*b**2/5 - 68672*b/5 - 72864/5 = 0.
-2, 18, 506
Factor s**3/9 + 2*s**2/3 - 112*s/9.
s*(s - 8)*(s + 14)/9
Find b, given that 1682*b**3/11 - 125918*b**2/11 - 17392*b/11 - 600/11 = 0.
-2/29, 75
Factor 2*w**2 + 1023800*w + 131020805000.
2*(w + 255950)**2
Let w**4/4 + 117*w**3 + 28779*w**2/2 - 360371*w - 444730575/4 = 0. Calculate w.
-181, 75
Solve -q**5/5 - 12*q**4 + 29*q**3 + 264*q**2 + 1116*q/5 = 0 for q.
-62, -3, -1, 0, 6
Suppose 5*o**5/3 + 142*o**4/3 - 34*o**3 - 436*o**2/3 - 23*o/3 + 58 = 0. What is o?
-29, -1, 3/5, 2
Find f, given that 14*f**4 + 6228*f**3 - 70694*f**2 + 201492*f - 27360 = 0.
-456, 1/7, 5, 6
Suppose 2*l**5 - 106*l**4 + 1936*l**3 - 14888*l**2 + 45312*l - 32256 = 0. Calculate l.
1, 6, 8, 14, 24
Solve -h**3 - 1358*h**2 + 41704*h + 88832 = 0.
-1388, -2, 32
Suppose -14*i**2/15 - 33520*i/3 - 23942/5 = 0. What is i?
-11971, -3/7
Factor -p**2/8 - 57*p/8 + 3965/4.
-(p - 65)*(p + 122)/8
Find s, given that -s**5/11 + 125*s**4/11 + 1483*s**3/11 + 1819*s**2/11 - 6882*s/11 - 7344/11 = 0.
-9, -3, -1, 2, 136
What is l in 8*l**5 - 777814*l**4 + 18907151274*l**3 - 51988200624*l**2 - 14178759264*l = 0?
-1/4, 0, 3, 48612
Suppose 3*z**4 + 429*z**3 + 15543*z**2 + 14271*z - 30246 = 0. Calculate z.
-71, -2, 1
Solve 4*p**3 - 544*p**2 + 11660*p + 12208 = 0 for p.
-1, 28, 109
Find y, given that 3*y**4 - 471432*y**3 + 18519263202*y**2 + 111128308200*y + 166698826875 = 0.
-3, 78575
Factor 5*d**2 + 570520*d + 16274653520.
5*(d + 57052)**2
Suppose 670*o**2 - 8755*o + 585 = 0. Calculate o.
9/134, 13
Let -2*h**2/7 + 20990*h/7 + 20992/7 = 0. Calculate h.
-1, 10496
Factor d**4/4 + 911*d**3/4 - 3003*d**2.
d**2*(d - 13)*(d + 924)/4
Let -y**2/4 - 19471*y/2 - 38941/4 = 0. What is y?
-38941, -1
Factor -2*a**2 - 66*a + 21716.
-2*(a - 89)*(a + 122)
Factor 3*p**3/5 - 90*p**2 - 5229*p/5 - 13524/5.
3*(p - 161)*(p + 4)*(p + 7)/5
Factor 118*b**2 + 396*b + 126.
2*(b + 3)*(59*b + 21)
Factor -4*r**2/9 - 35396*r - 1274192/9.
-4*(r + 4)*(r + 79637)/9
Solve -3*z**3/4 - 765*z**2/4 + 3*z/4 + 765/4 = 0.
-255, -1, 1
Let -4*w**2 - 106080*w + 212176 = 0. Calculate w.
-26522, 2
Factor -5*q**2/4 - 12725*q/4 - 44415/2.
-5*(q + 7)*(q + 2538)/4
Factor -x**2/2 - 216*x - 17496.
-(x + 108)*(x + 324)/2
Let -2*k**5/15 + 166976*k**4/15 - 232341538*k**3 - 166976*k**2/15 + 3485123072*k/15 = 0. What is k?
-1, 0, 1, 41744
Determine w so that -6*w**3 + 106743*w**2/2 - 120042*w - 240111/2 = 0.
-3/4, 3, 8893
Find n such that 2*n**2 + 2912*n + 423776 = 0.
-1292, -164
Factor 2*g**3/3 - 1112*g**2/3 + 52256*g - 203136.
2*(g - 276)**2*(g - 4)/3
Solve -5*h**5 - 335*h**4 + 5970*h**3 - 14780*h**2 - 1400*h + 19680 = 0 for h.
-82, -1, 2, 12
Determine q, given that -2850*q**2 - 1719*q = 0.
-573/950, 0
What is g in 5*g**5 - 2395*g**4 + 28250*g**3 - 107710*g**2 + 140225*g - 58375 = 0?
1, 5, 467
Solve 2*a**2 + 2652*a = 0.
-1326, 0
Factor 5*v**3 - 196580*v**2 + 1932184820*v.
5*v*(v - 19658)**2
Factor t**4/8 + 303*t**3/8 + 17415*t**2/8 - 2046843*t/8 - 45080469/2.
(t - 84)*(t + 129)**3/8
Factor 4*y**2 + 12516*y.
4*y*(y + 3129)
Factor 5*g**2 + 75850*g + 75845.
5*(g + 1)*(g + 15169)
Let r**4 + 2*r**3 - 20*r**2 + 24*r = 0. Calculate r.
-6, 0, 2
Factor -2*f**3/11 - 324754*f**2/11 - 13183632182*f/11 - 39547973814/11.
-2*(f + 3)*(f + 81187)**2/11
Factor -27*j**4/2 - 8703*j**3 + 11622*j**2 - 3876*j.
-3*j*(j + 646)*(3*j - 2)**2/2
Factor -5*b**5 - 35*b**4 + 150*b**3 + 610*b**2 + 655*b + 225.
-5*(b - 5)*(b + 1)**3*(b + 9)
Factor -2*s**2/13 + 85992*s/13 - 924328008/13.
-2*(s - 21498)**2/13
Find m, given that -3*m**2 + 118182*m + 945648 = 0.
-8, 39402
Let 2*f**5/13 + 2178*f**4/13 + 166*f**3 - 19562*f**2/13 + 23928*f/13 - 8704/13 = 0. Calculate f.
-1088, -4, 1
Factor -5*a**3 + 5460*a**2 - 96460*a - 214800.
-5*(a - 1074)*(a - 20)*(a + 2)
Determine b so that -25*b**3 - 6347110*b**2 - 2538840*b = 0.
-253884, -2/5, 0
Find z, given that z**5/3 - 19001*z**4/3 + 25331*z**3 - 94987*z**2/3 + 37994*z/3 = 0.
0, 1, 2, 18997
Determine g so that -2*g**4 + 74*g**3 + 984*g**2 + 3384*g + 3456 = 0.
-6, -3, -2, 48
Let 5*d**5 - 139515*d**4 + 974267640*d**3 - 14592675420*d**2 + 70011708480*d - 104994973440 = 0. What is d?
3, 6, 13944
Factor 3*w**2/2 + 39207*w/2 - 176553.
3*(w - 9)*(w + 13078)/2
Suppose v**2/9 - 181618*v/9 + 8246274481/9 = 0. What is v?
90809
Find b, given that -4*b**2 + 1735544*b + 1735548 = 0.
-1, 433887
Solve -p**5/5 + 137*p**4/5 - 4887*p**3/5 + 12931*p**2/5 + 17956*p/5 = 0 for p.
-1, 0, 4, 67
Factor -2*o**3/3 + 83908*o**2/3 - 880069058*o/3.
-2*o*(o - 20977)**2/3
Factor -2*h**2/3 - 1583*h + 2375/3.
-(h + 2375)*(2*h - 1)/3
Find s such that 81*s**4 + 1985661*s**3 - 1323873*s**2 - 1544457*s - 294180 = 0.
-24515, -1/3, 4/3
Determine n, given that -2*n**5 + 248*n**4/7 + 1992*n**3/7 + 2880*n**2/7 = 0.
-30/7, -2, 0, 24
Factor -k**4/3 - 1046*k**3/3 - 90827*k**2 + 548104*k/3 - 274576/3.
-(k - 1)**2*(k + 524)**2/3
Suppose -t**3 + 187*t**2 + 29294*t - 59328 = 0. What is t?
-103, 2, 288
Factor 3*t**5 - 927*t**4 - 1863*t**3 - 933*t**2.
3*t**2*(t - 311)*(t + 1)**2
Find t such that 5*t**4/3 + 72905*t**3/3 + 265428665*t**2/3 - 797817675*t + 1596510750 = 0.
-7295, 3, 6
Factor -d**3/5 + 4*d**2/5 + 975*d + 124722/5.
-(d - 82)*(d + 39)**2/5
Factor -2*l**2 + 916*l - 62250.
-2*(l - 375)*(l - 83)
Factor 16*o**3 - 72440*o**2 + 36217*o - 4527.
(o - 4527)*(4*o - 1)**2
Determine a so that 5*a**5 - 400*a**4 - 10480*a**3 + 938750*a**2 + 3930875*a - 4858750 = 0.
-46, -5, 1, 65
Find q, given that 2*q**4 - 1746*q**3 - 8772*q**2 - 7024*q = 0.
-4, -1, 0, 878
Let -3*p**4 + 42024*p**3 - 42021*p**2 = 0. Calculate p.
0, 1, 14007
Factor -b**3 + 1872*b**2 - 172077*b - 173950.
-(b - 1775)*(b - 98)*(b + 1)
Suppose -5*m**4 + 90*m**3 + 2160*m**2 + 10150*m + 8085 = 0. Calculate m.
-7, -1, 33
Solve c**3 - c**2 - 1681*c + 1681 = 0.
-41, 1, 41
Let -14*s**2/9 - 209584*s/9 - 19960/3 = 0. What is s?
-14970, -2/7
What is w in -w**3 + 183*w**2 + 8620*w + 8436 = 0?
-38, -1, 222
Factor -4*s**3 - 856*s**2 - 53760*s - 811008.
-4*(s + 22)*(s + 96)**2
Factor -n**3/3 - 1979*n**2/3 + 1982*n/3 + 1320.
-(n - 2)*(n + 1)*(n + 1980)/3
Suppose 165*k**4 - 170*k**3 - 125*k**2 + 170*k - 40 = 0. What is k?
-1, 4/11, 2/3, 1
Find g, given that 2*g**5/7 + 26*g**4/7 - 94*g**3/7 + 38*g**2/7 + 92*g/7 - 64/7 = 0.
-16, -1, 1, 2
Factor 4*d**3 + 134184*d**2.
4*d**2*(d + 33546)
Solve -1030301*p**5/6 + 86025033*p**4 + 2555300*p**3 + 75901*p**2/3 + 167*p/2 = 0.
-1/101, 0, 501
Factor 5*s**3 + 74235*s**2 - 74240*s.
5*s*(s - 1)*(s + 14848)
Factor 2*o**3/17 + 83466*o**2/17 + 500742*o/17 + 751086/17.
2*(o + 3)**2*(o + 41727)/17
Find p such that -5*p**3 - 375*p**2 - 1440*p + 241920 = 0.
-48, 21
Factor -4*d**3 - 25888*d**2 - 51764*d - 25880.
-4*(d + 1)**2*(d + 6470)
Let -118*z**4/9 - 670*z**3/3 - 8446*z**2/9 - 2258*z/3 - 220/9 = 0. What is z?
-11, -5, -1, -2/59
Factor p**2/6 - 5239*p/6.
p*(p - 5239)/6
Find a, given that -6*a**4/11 + 287796*a**3/11 - 3451681272*a**2/11 + 13802983980*a/11 - 10351590498/11 = 0.
1, 3, 23981
Factor -4*a**3 - 3136*a**2 - 70100*a - 66968.
-4*(a + 1)*(a + 22)*(a + 761)
Factor -h**2 + 1466*h + 176736.
-(h - 1578)*(h + 112)
Determine p, given that -p**2 - 1215744*p - 369508368384 = 0.
-607872
Determine i, given that 35378*i**3 + 776720*i**2 - 35094*i + 396 = 0.
-22, 3/133
What is w in -2*w**4