153*z + 10044 = 0.
-93/4, -9, 4
Factor l**3/5 + 53*l**2/5 - 716*l/5 - 768/5.
(l - 12)*(l + 1)*(l + 64)/5
Let 3*p**3 - 3294*p**2 + 6576*p = 0. What is p?
0, 2, 1096
Factor -4*q**2 - 64860*q + 194616.
-4*(q - 3)*(q + 16218)
Let -22*z**2 - 8120*z + 66368 = 0. What is z?
-4148/11, 8
Solve 3*p**2 - 12*p - 231 = 0 for p.
-7, 11
Determine b, given that b**5 - 635*b**4 + 3785*b**3 - 6925*b**2 + 3774*b = 0.
0, 1, 2, 3, 629
Factor 3*t**2 + 996*t - 4032.
3*(t - 4)*(t + 336)
Solve -3*p**2/7 + 3366*p/7 - 16755/7 = 0 for p.
5, 1117
Factor -3*j**2 + 370812*j - 370809.
-3*(j - 123603)*(j - 1)
Solve -t**4/5 + t**3 + 2747*t**2/5 - 1101*t + 2754/5 = 0 for t.
-51, 1, 54
Factor -4*y**2 - 2756*y + 176528.
-4*(y - 59)*(y + 748)
Suppose 10*b**4 - 2096*b**3 - 9370*b**2 - 9832*b - 2568 = 0. Calculate b.
-3, -1, -2/5, 214
Determine m, given that m**5/6 + 32*m**4/3 + 341*m**3/2 - 32*m**2/3 - 512*m/3 = 0.
-32, -1, 0, 1
Solve p**5/4 - 307*p**4/4 - 5115*p**3/4 - 17057*p**2/4 - 10001*p/2 - 1938 = 0.
-12, -2, -1, 323
Factor -i**4/5 + 9986*i**3/5 - 24920061*i**2/5 - 49870084*i/5 - 24940036/5.
-(i - 4994)**2*(i + 1)**2/5
Suppose 21*d**5/4 + 585*d**4 + 3933*d**3/2 + 2442*d**2 + 5193*d/4 + 243 = 0. Calculate d.
-108, -1, -3/7
Factor -3*l**3/7 - 624*l**2/7 - 24495*l/7 + 872850/7.
-3*(l - 22)*(l + 115)**2/7
Factor -5445*n**3 - 1456620*n**2 + 707200*n - 85760.
-5*(n + 268)*(33*n - 8)**2
Solve -k**2 + 62*k + 97635 = 0 for k.
-283, 345
Factor -2*t**5 + 9864*t**4 - 12172172*t**3 + 24314760*t**2 - 12152450*t.
-2*t*(t - 2465)**2*(t - 1)**2
What is b in -86*b**5 - 856*b**4 + 2534*b**3 + 4528*b**2 - 6408*b + 288 = 0?
-12, -2, 2/43, 1, 3
Factor -8*j**3/5 - 128984*j**2/5 + 25798*j - 32248/5.
-2*(j + 16124)*(2*j - 1)**2/5
Factor r**3/4 + 1679*r**2/4 + 5019*r/2.
r*(r + 6)*(r + 1673)/4
Let 5*y**4 - 3330*y**3 - 3340*y**2 + 3330*y + 3335 = 0. What is y?
-1, 1, 667
Factor -z**3/4 + 6097*z**2/4 + 6100*z + 6101.
-(z - 6101)*(z + 2)**2/4
Factor x**3/3 + 100*x**2/3 - 848*x/3 + 576.
(x - 4)**2*(x + 108)/3
Suppose 60*v**4 - 1688*v**3 + 15824*v**2 - 50080*v + 6400 = 0. What is v?
2/15, 8, 10
What is o in 20*o**4 - 3740*o**3 + 91965*o**2 + 7749280*o + 85863680 = 0?
-37/2, 112
Factor -m**2/4 - 460622*m - 212172626884.
-(m + 921244)**2/4
Factor 2*r**4/7 - 184*r**3/7 + 518*r**2 + 4116*r.
2*r*(r - 49)**2*(r + 6)/7
Solve z**5/11 - 439*z**4/11 - 5439*z**3/11 + 12191*z**2/11 - 574*z = 0.
-14, 0, 1, 451
Solve -5*q**5/3 - 65*q**4/3 + 30*q**3 + 390*q**2 - 135*q - 1755 = 0.
-13, -3, 3
Factor 3*d**4 - 32862*d**3 + 119935296*d**2 - 145640879826*d - 731206891155.
3*(d - 3653)**3*(d + 5)
Determine h, given that -8528*h**3/3 + 4*h**2/3 + 34112*h/3 - 16/3 = 0.
-2, 1/2132, 2
Factor 4*i**2 + 680*i + 676.
4*(i + 1)*(i + 169)
Determine k so that -5*k**5/3 - 460*k**4/3 + 50*k**3/3 + 4600*k**2/3 - 15*k - 1380 = 0.
-92, -3, -1, 1, 3
Let -t**5/5 - 23*t**4/5 + 127*t**3 - 1757*t**2/5 + 1706*t/5 - 112 = 0. Calculate t.
-40, 1, 14
What is h in 4*h**2 + 113056*h + 798853696 = 0?
-14132
Factor -3*c**2/2 + 3303*c - 6603/2.
-3*(c - 2201)*(c - 1)/2
Factor -a**3/4 + 251*a**2/4 + 2243*a/2 + 4690.
-(a - 268)*(a + 7)*(a + 10)/4
Find n, given that -n**5/7 + 5*n**4 - 57*n**3/7 - 45*n**2 + 594*n/7 = 0.
-3, 0, 2, 3, 33
Determine n, given that 27*n**2 + 107241*n - 226518 = 0.
-3974, 19/9
Solve -u**4 - 5535*u**3 - 104884*u**2 - 441180*u + 551600 = 0.
-5516, -10, 1
Factor -7*b**2/5 + 13859*b/5 + 396.
-(b - 1980)*(7*b + 1)/5
What is t in 2*t**3 + 676*t**2 - 6942*t + 6264 = 0?
-348, 1, 9
Find b, given that 22*b**3 - 278*b**2 - 98640*b/11 - 469800/11 = 0.
-90/11, 29
Factor 5*w**3/3 + 78075*w**2 + 914394880*w + 2742950420/3.
5*(w + 1)*(w + 23422)**2/3
Find s, given that 4*s**5 + 32*s**4 - 80*s**3 - 856*s**2 - 500*s + 1400 = 0.
-7, -5, -2, 1, 5
Factor -s**2 - 151170*s - 5713092225.
-(s + 75585)**2
What is o in -2*o**3/9 + 16130*o**2/9 + 32266*o/9 + 5378/3 = 0?
-1, 8067
Factor 2*q**2/3 - 28*q/3 - 650.
2*(q - 39)*(q + 25)/3
Factor 9*m**3 + 655989*m**2 + 437323*m + 72887.
(m + 72887)*(3*m + 1)**2
Let 3*p**5/7 + 4437*p**4/7 - 31188*p**3/7 + 26748*p**2/7 = 0. What is p?
-1486, 0, 1, 6
Solve -35*t**3 + 2880*t**2 + 8105*t - 2550 = 0.
-3, 2/7, 85
Factor -3*p**2 + 121791*p.
-3*p*(p - 40597)
Factor -h**4/9 - 19*h**3/3 - 967*h**2/9 - 1325*h/3 + 5000/9.
-(h - 1)*(h + 8)*(h + 25)**2/9
Find f such that f**3/8 - 409*f**2/8 - 40721*f/4 - 20155 = 0.
-145, -2, 556
Factor -3*g**5 + 59247*g**4 - 236958*g**3 + 355422*g**2 - 236943*g + 59235.
-3*(g - 19745)*(g - 1)**4
Factor -5*d**2 - 2060*d + 34240.
-5*(d - 16)*(d + 428)
Factor 27*x**2 + 8182584*x + 619950749232.
3*(3*x + 454588)**2
Factor 8152661165*i**4 + 8215000970*i**3 + 62498700*i**2 + 159030*i + 135.
5*(i + 1)*(1177*i + 3)**3
Factor 2*j**2 - 548*j - 2224.
2*(j - 278)*(j + 4)
Suppose 3*q**4/5 - 3*q**3/5 - 1083*q**2/5 + 11667*q/5 - 34776/5 = 0. What is q?
-23, 7, 8, 9
Factor -3*x**3 + 2895*x**2 + 125559*x + 1332261.
-3*(x - 1007)*(x + 21)**2
Factor 3*j**3/5 - 1122*j**2/5 + 99099*j/5.
3*j*(j - 231)*(j - 143)/5
Factor 2*f**3/3 + 2360*f**2/3 + 676936*f/3 - 11443328/3.
2*(f - 16)*(f + 598)**2/3
Let 2*r**2/3 - 522548*r + 102396154614 = 0. What is r?
391911
Solve b**2 + 86*b + 1449 = 0.
-63, -23
Factor 3*f**3/7 - 353067*f**2/7.
3*f**2*(f - 117689)/7
Factor -5*l**3/2 + 105*l**2 - 1225*l/2.
-5*l*(l - 35)*(l - 7)/2
Factor 5*d**2 - 920*d + 42240.
5*(d - 96)*(d - 88)
Let -4*t**4 - 1684*t**3 - 8348*t**2 - 11660*t - 4992 = 0. Calculate t.
-416, -3, -1
Factor 92837405*q**3 + 184899190*q**2 - 1549620*q + 3240.
5*(q + 2)*(4309*q - 18)**2
Let -171*x**2 + 3801*x/5 - 882/5 = 0. Calculate x.
14/57, 21/5
Factor 5*y**2 - 197875*y - 395770.
5*(y - 39577)*(y + 2)
Let 2*r**5/15 - 382*r**4/15 - 812*r**3/15 + 7768*r**2/15 - 3088*r/5 = 0. What is r?
-6, 0, 2, 193
Factor -b**3 + 53*b**2 + 2265*b + 18675.
-(b - 83)*(b + 15)**2
Suppose 4*j**2 - 1032*j + 2048 = 0. What is j?
2, 256
Factor 26*n**3/9 + 16*n**2 + 58*n/3 + 56/9.
2*(n + 1)*(n + 4)*(13*n + 7)/9
Solve 3*j**2 - 1686*j + 23016 = 0.
14, 548
Determine t, given that 12*t**4 + 22041*t**3 - 5511*t**2 = 0.
-1837, 0, 1/4
Solve u**2/6 + 1553*u/3 + 34045/6 = 0 for u.
-3095, -11
Factor p**2 - 3372*p + 2842596.
(p - 1686)**2
Factor 3*z**3 + 106896*z**2.
3*z**2*(z + 35632)
Determine g so that -g**3 + 198*g**2 - 8969*g + 8772 = 0.
1, 68, 129
Factor c**3/3 - 340*c**2/3 + 7168*c.
c*(c - 256)*(c - 84)/3
Determine s so that s**2 - 928*s - 19929 = 0.
-21, 949
Factor 3*t**4 - 591*t**3.
3*t**3*(t - 197)
Factor 2*i**2 + 22308*i.
2*i*(i + 11154)
Find g, given that -3*g**4 + 22182*g**3 - 221607*g**2 + 642468*g - 443040 = 0.
1, 4, 5, 7384
Let -2*k**3/5 + 312*k**2/5 - 8152*k/5 - 17568/5 = 0. What is k?
-2, 36, 122
Factor -2*c**2 + 9410*c + 47100.
-2*(c - 4710)*(c + 5)
Factor 2*h**5 + 24*h**4 + 112*h**3 + 252*h**2 + 270*h + 108.
2*(h + 1)*(h + 2)*(h + 3)**3
Factor -4*b**3 - 64*b**2 + 68*b.
-4*b*(b - 1)*(b + 17)
Find g, given that g**5/5 - 746*g**4 + 3481949*g**3/5 - 6937808*g**2/5 - 10423488*g/5 = 0.
-1, 0, 3, 1864
Factor 2*g**2/13 - 3686*g/13 + 407100/13.
2*(g - 1725)*(g - 118)/13
Determine u so that -2*u**2/11 - 898*u/11 + 164 = 0.
-451, 2
Factor 2*n**2 + 2904*n + 604800.
2*(n + 252)*(n + 1200)
Factor -2*o**3/7 + 1152*o**2/7 - 10222*o/7 + 1296.
-2*(o - 567)*(o - 8)*(o - 1)/7
Suppose -3*z**3 + 3942*z**2 + 59643*z + 215298 = 0. Calculate z.
-9, -6, 1329
Factor 2*b**3/5 + 12*b**2 + 342*b/5 + 92.
2*(b + 2)*(b + 5)*(b + 23)/5
Find m such that -2*m**4/3 + 66310*m**3/3 - 183020992*m**2 - 9352181960*m/3 - 8803052672/3 = 0.
-16, -1, 16586
Factor -5*p**2 + 1450990*p - 105268599005.
-5*(p - 145099)**2
Find u such that -u**4/3 + 872*u**3/3 + 20546*u**2/3 + 11656*u - 18795 = 0.
-21, -3, 1, 895
Suppose u**4/6 + 5978*u**3/3 - 11957*u**2/6 = 0. Calculate u.
-11957, 0, 1
Suppose -n**5 - 20585*n**4 - 141178725*n**3 - 322121417875*n**2 + 3235352646250*n = 0. Calculate n.
-6865, 0, 10
Factor 218*y**2/11 + 47958*y/11 - 40.
2*(y + 220)*(109*y - 1)/11
Factor -3*a**2 - 41382*a - 142705827.
-3*(a + 6897)**2
Factor -4*j**3 + 20040*j**2 - 24131712*j - 2448776704.
-4*(j - 2552)**2*(j + 94)
Determine d, given that 2*d**5/7 + 172*d**4/7 + 244*d**3 + 4352*d**2/7 + 66*d/7 - 900 = 0.
-75, -7, -3, -2, 1
Factor m**2/2 - 75978*m + 2886328242.
(m - 75978)**2/2
Factor 3*o**4 - 1353*o**3 + 157206*o**2 - 1048284*o + 1478520.
3*(o - 222)**2*(o - 5)*(o -