541
Factor 3*m**2 + 324*m - 9975.
3*(m - 25)*(m + 133)
Factor 2*j**4/3 - 2492*j**3/3 + 768746*j**2/3 + 1559992*j + 2351256.
2*(j - 626)**2*(j + 3)**2/3
Find q such that q**2 + 13692*q + 46867716 = 0.
-6846
Factor -93*j**3/2 - 29571*j**2/2 - 2350179*j/2 + 75843/2.
-3*(j + 159)**2*(31*j - 1)/2
Factor 2*t**3/15 - 2*t**2/15 - 4*t/15.
2*t*(t - 2)*(t + 1)/15
Find l such that -l**5/6 - 76*l**4/3 - 3469*l**3/6 - 4105*l**2 - 6576*l - 3024 = 0.
-126, -12, -1
Let 32*d**5 + 452*d**4 - 40*d**3 - 1292*d**2 + 736*d + 112 = 0. What is d?
-14, -2, -1/8, 1
Factor -4*x**2 - 19104*x - 720176.
-4*(x + 38)*(x + 4738)
Factor -c**5 - 27*c**4 - 168*c**3 + 196*c**2.
-c**2*(c - 1)*(c + 14)**2
Factor 2*u**3/5 - 46*u**2/5 - 2048*u/5 + 1760.
2*(u - 44)*(u - 4)*(u + 25)/5
What is l in 2*l**5/7 - 232*l**4/7 + 2186*l**3/7 - 7076*l**2/7 + 1216*l - 3392/7 = 0?
1, 4, 106
Suppose 99*j**5/4 - 1065*j**4/2 + 9987*j**3/4 + 1593*j**2 - 1293*j + 168 = 0. What is j?
-1, 2/11, 1/3, 8, 14
Factor -2*t**3/3 + 157660*t**2/3 - 3107084450*t/3.
-2*t*(t - 39415)**2/3
Solve 4*s**4/7 + 156*s**3 - 472*s**2 + 2208*s/7 = 0.
-276, 0, 1, 2
Suppose -52*m**5 + 1604*m**4 + 404*m**3 - 4708*m**2 - 3952*m - 496 = 0. What is m?
-1, -2/13, 2, 31
Determine d, given that 7*d**5/4 + 97*d**4/2 + 343*d**3 + 654*d**2 - 216*d = 0.
-18, -6, -4, 0, 2/7
Factor 2*j**2/7 + 1683592*j/7 + 354310252808/7.
2*(j + 420898)**2/7
Solve -3*d**5 + 22473*d**4 + 22515*d**3 - 292185*d**2 - 22512*d + 269712 = 0 for d.
-4, -1, 1, 3, 7492
Solve 52*o**4 - 528*o**3 + 236*o**2 + 6528*o - 1008 = 0.
-3, 2/13, 6, 7
Solve 5*n**2 - 1553610*n + 3107200 = 0 for n.
2, 310720
Suppose -m**3/3 - 67*m**2/3 - 285*m - 663 = 0. What is m?
-51, -13, -3
Factor g**3/2 - 47*g**2 - 63*g/2 + 63504.
(g - 63)**2*(g + 32)/2
Factor m**2/6 - 21184*m/3 + 224380928/3.
(m - 21184)**2/6
Factor 2*q**4 + 4082*q**3.
2*q**3*(q + 2041)
Determine c, given that 4*c**3/5 - 164*c**2 + 288*c/5 + 107712/5 = 0.
-11, 12, 204
Suppose y**3/2 - 1189*y**2/2 - 4777*y/2 + 5965/2 = 0. What is y?
-5, 1, 1193
Factor 2*h**2 + 53334*h - 53336.
2*(h - 1)*(h + 26668)
Determine y, given that 3*y**5 - 9582*y**4 - 57567*y**3 - 105582*y**2 - 57600*y = 0.
-3, -2, -1, 0, 3200
Factor 2*a**3/11 - 46*a**2/11 + 84*a/11 + 720/11.
2*(a - 20)*(a - 6)*(a + 3)/11
Factor -q**3 - 389*q**2 - 40115*q - 1245127.
-(q + 71)**2*(q + 247)
Factor -3*t**2/4 + 24633*t/4 + 6159.
-3*(t - 8212)*(t + 1)/4
Factor -2*y**3/3 - 1370*y**2/3 + 5504*y/3 - 5512/3.
-2*(y - 2)**2*(y + 689)/3
Factor -5*u**2 - 183865*u + 183870.
-5*(u - 1)*(u + 36774)
Solve -b**2/4 + 9737*b/2 - 94809169/4 = 0 for b.
9737
Factor -2*d**4 - 14*d**3 + 74*d**2 + 350*d - 1176.
-2*(d - 4)*(d - 3)*(d + 7)**2
Factor o**2/2 + 902*o + 21360.
(o + 24)*(o + 1780)/2
Factor 5*c**2 - 6675*c + 118530.
5*(c - 1317)*(c - 18)
Factor -2*j**2/5 - 98*j/5 + 992.
-2*(j - 31)*(j + 80)/5
Suppose -2*b**3 + 946*b**2 + 357770*b + 26144342 = 0. What is b?
-133, 739
Let -b**5/7 - 129*b**4/7 - 991*b**3/7 - 2811*b**2/7 - 3400*b/7 - 1452/7 = 0. Calculate b.
-121, -3, -2, -1
Let -3*g**2 + 48462*g - 145359 = 0. Calculate g.
3, 16151
Determine p so that 3*p**3/5 - 528816*p**2/5 + 1057623*p/5 - 105762 = 0.
1, 176270
Suppose 5*d**3 - 165*d**2 - 32750*d - 248880 = 0. What is d?
-61, -8, 102
Factor -2*o**3/7 - 1734*o**2/7 - 376710*o/7 - 374978/7.
-2*(o + 1)*(o + 433)**2/7
What is q in -4*q**4 - 259*q**3 - 1759*q**2 + 456*q = 0?
-57, -8, 0, 1/4
Suppose -3*d**3/7 - 4761*d**2/7 - 37932*d/7 - 56844/7 = 0. What is d?
-1579, -6, -2
Factor q**2/2 - 90148*q + 4063330952.
(q - 90148)**2/2
Let -3*n**2/7 - 48612*n/7 - 196927212/7 = 0. What is n?
-8102
What is s in -s**4/6 + 781*s**3/6 - 10739*s**2/2 + 118965*s/2 - 54243 = 0?
1, 21, 738
Factor 3*k**4 + 492*k**3 + 3345*k**2 + 7572*k + 5652.
3*(k + 2)**2*(k + 3)*(k + 157)
Factor i**4 + 2789*i**3 + 33360*i**2 + 99972*i.
i*(i + 6)**2*(i + 2777)
Factor -d**3/5 - 2*d**2/5 + 1995*d - 376884/5.
-(d - 57)**2*(d + 116)/5
Find p such that -p**3 - 535*p**2 - 2124*p = 0.
-531, -4, 0
Solve 4*t**4 + 76*t**3 - 580*t**2 + 548*t + 1200 = 0 for t.
-25, -1, 3, 4
Solve -4*l**2/5 - 10272*l/5 + 92772/5 = 0 for l.
-2577, 9
Find o such that -o**3/2 + 7257*o**2 - 333293*o/2 = 0.
0, 23, 14491
Factor -3*y**2 + 70335*y - 703050.
-3*(y - 23435)*(y - 10)
Factor -3*h**3/4 - 21*h**2/2 + 651*h/4 + 345/2.
-3*(h - 10)*(h + 1)*(h + 23)/4
Factor 4*i**4 + 84*i**3 + 360*i**2.
4*i**2*(i + 6)*(i + 15)
Factor y**2/4 + 20*y + 375.
(y + 30)*(y + 50)/4
Factor -14*m**2/11 - 1069106*m/11 + 305460/11.
-2*(m + 76365)*(7*m - 2)/11
Factor -2*p**2 - 103136*p - 1329629312.
-2*(p + 25784)**2
Determine f so that f**4/4 + 8293*f**3/4 + 132431*f**2/4 - 8293*f/4 - 33108 = 0.
-8277, -16, -1, 1
Solve b**4/9 - 2677*b**3/3 + 104257*b**2/9 - 61475*b/3 + 88198/9 = 0.
1, 11, 8018
Determine p, given that 2*p**3/9 - 155626*p**2/9 + 3028131680*p/9 - 3026731208 = 0.
9, 38902
Factor 2*g**3/3 + 362*g**2 - 6312*g + 58240/3.
2*(g - 13)*(g - 4)*(g + 560)/3
Factor -5*y**4 + 350*y**3 + 3955*y**2 + 3600*y.
-5*y*(y - 80)*(y + 1)*(y + 9)
Suppose -4*r**2 - 3468*r - 10368 = 0. Calculate r.
-864, -3
Factor d**2/4 - 50*d + 7791/4.
(d - 147)*(d - 53)/4
Factor -4*j**2 - 373648*j - 8725801744.
-4*(j + 46706)**2
Factor -u**3 - 599823*u**2 - 89947207743*u - 89946607921.
-(u + 1)*(u + 299911)**2
Suppose -81*m**5 + 1620*m**4 + 81*m**3 - 1632*m**2 + 228*m + 240 = 0. What is m?
-1, -1/3, 2/3, 20
Determine q, given that -3*q**4/8 + 87*q**3/4 - 81*q**2 = 0.
0, 4, 54
Factor 5*n**2 + 5745*n - 262460.
5*(n - 44)*(n + 1193)
Find f, given that 868*f**3/3 + 2316*f**2 + 4640*f + 64/3 = 0.
-4, -1/217
Factor t**2/5 + 10242*t/5.
t*(t + 10242)/5
Let d**3/6 - 3691*d**2/3 + 22139*d/6 - 7379/3 = 0. Calculate d.
1, 2, 7379
Let -2*b**2/15 + 475168*b/15 + 950344/15 = 0. Calculate b.
-2, 237586
Suppose -2*p**4/23 + 27528*p**3/23 - 126049740*p**2/23 + 190867918088*p/23 + 5245866945342/23 = 0. Calculate p.
-27, 4597
What is p in 189*p**5 - 35367*p**4/2 + 27003*p**3 + 16866*p**2 - 2748*p - 1104 = 0?
-1/2, -2/9, 2/7, 2, 92
Solve 2*g**2 - 15424*g + 123264 = 0 for g.
8, 7704
Solve -3*a**3 - 184*a**2/3 - 539*a/3 - 68 = 0.
-17, -3, -4/9
Suppose -2*u**2/7 - 820609*u/7 - 410304/7 = 0. Calculate u.
-410304, -1/2
Suppose -s**5/5 + 8*s**3/5 - 16*s/5 = 0. What is s?
-2, 0, 2
Let 2*z**2/3 - 2210*z - 13268/3 = 0. What is z?
-2, 3317
Factor -4*l**3 + 32920*l**2 - 67732900*l.
-4*l*(l - 4115)**2
Factor -j**4/6 - 13835*j**3 + 41506*j**2 - 124519*j/3 + 27671/2.
-(j - 1)**3*(j + 83013)/6
Determine f so that 2*f**4/7 - 2809*f**3/7 - 7034*f**2/7 - 1409*f/7 + 402 = 0.
-2, -1, 1/2, 1407
Solve -5*m**5 - 6160*m**4 + 201790*m**3 - 568360*m**2 + 556015*m - 183280 = 0 for m.
-1264, 1, 29
Suppose -3*f**2 - 1282500*f - 137067187500 = 0. What is f?
-213750
Let -95*m**5 - 1310*m**4 + 660*m**3 + 5240*m**2 - 1120*m = 0. Calculate m.
-14, -2, 0, 4/19, 2
Factor -4*i**3 + 1552*i**2 + 4*i - 1552.
-4*(i - 388)*(i - 1)*(i + 1)
Find o, given that 2*o**4/11 + 11986*o**3/11 + 17952030*o**2/11 - 17964018*o/11 = 0.
-2997, 0, 1
Determine s so that 2*s**2 + 53756*s + 361213442 = 0.
-13439
Solve -g**3/4 - 70*g**2 - 943*g - 3192 = 0.
-266, -8, -6
Factor -3*o**4/2 + 294009*o**3/2 - 3601941000*o**2 + 10804500000*o.
-3*o*(o - 49000)**2*(o - 3)/2
Factor 2*y**2/11 - 35490*y/11 + 6452.
2*(y - 17743)*(y - 2)/11
Find l, given that 2*l**4 - 200*l**3 + 1268*l**2 + 3144*l + 1674 = 0.
-1, 9, 93
Factor r**2/2 - 355*r/2 + 15500.
(r - 200)*(r - 155)/2
Solve q**5/7 + 171*q**4 + 368251*q**3/7 + 6025227*q**2/7 + 4550080*q + 7310100 = 0 for q.
-590, -7, -3
Solve -42114*m**4 - 463245*m**3 - 1010637*m**2 + 1516320*m - 324 = 0 for m.
-6, 3/14038, 1
Determine y so that -5*y**2/4 - 275*y/2 + 2520 = 0.
-126, 16
Solve 4*l**4 - 94384*l**3 + 558091024*l**2 - 15571094784*l + 108868322304 = 0.
14, 11784
Factor -o**3 - 790*o**2 - 157593*o - 617796.
-(o + 4)*(o + 393)**2
Solve -6*b**5 - 106*b**4 - 134*b**3 + 2938*b**2 - 820*b - 1872 = 0.
-13, -9, -2/3, 1, 4
Let 5*h**2 + 470*h + 920 = 0. Calculate h.
-92, -2
Factor 2*y**4/9 - 136*y**3/9 - 55096*y**2/9 + 650624*y/3 + 45773312.
2*(y - 138)**2*(y + 104)**2/9
Let -176*m**4/3 + 707*m**3/3 - 4*m**2 = 0. Calculate m.
0, 3/176, 4
Determine s, given that 3*s**5 - 39*s**4 - 63*s**3 + 759*s**2 + 780*s = 0.
-4, -1, 0, 5, 13
Let -22*q**4 + 6454*q**3/9 - 40136*q**2/9 - 5672*q/3 - 192 = 0. Calculate q.
-2/9, -2