4
Factor -3*b**3 - 9837*b**2 + 19683*b - 9843.
-3*(b - 1)**2*(b + 3281)
Let -3*z**4 + 1764*z**3 + 380160*z**2 + 17749248*z = 0. What is z?
-88, 0, 764
Factor 6885*n**2 + 3635275*n - 2640.
5*(n + 528)*(1377*n - 1)
What is m in -195*m**5 - 726*m**4 + 23280*m**3 - 5322*m**2 - 29133*m = 0?
-13, -1, 0, 83/65, 9
Factor -d**2/5 + 29561276*d/5 - 218467259687044/5.
-(d - 14780638)**2/5
Find h such that 28*h**2/13 - 11556546*h/13 - 2476404/13 = 0.
-3/14, 412734
Solve -2*k**3/7 + 94816*k**2/7 + 8*k/7 - 379264/7 = 0.
-2, 2, 47408
Determine r so that r**2/6 + 1462979*r/3 + 2140307554441/6 = 0.
-1462979
Suppose 3*w**2/4 - 195093576*w + 12687167798822592 = 0. Calculate w.
130062384
Suppose 2*a**2 + 751892*a - 10526880 = 0. What is a?
-375960, 14
Find n such that -5*n**3 + 33380*n**2 - 67359220*n + 42830878720 = 0.
1546, 3584
Factor 2*d**3/3 - 1092546*d**2 - 104889024*d - 2517373440.
2*(d - 1638915)*(d + 48)**2/3
Factor p**3 - 180568*p**2 - 214114540*p - 63266478800.
(p - 181748)*(p + 590)**2
Factor -5*o**2 + 433675*o + 3035970.
-5*(o - 86742)*(o + 7)
Factor -2*n**4/9 - 17996*n**3/3 - 8079840*n**2 - 3712439100*n - 571964856750.
-2*(n + 465)**3*(n + 25599)/9
What is i in -6*i**4/5 + 13186*i**3/5 - 381206*i**2/15 + 216242*i/3 - 739544/15 = 0?
1, 13/3, 2188
Let -8*a**5/5 - 230168*a**4/5 + 26086054*a**3/5 - 724494252*a**2/5 - 744173874*a/5 - 187688232/5 = 0. What is a?
-28884, -1/2, 57
Factor 5*a**3 + 373485*a**2 + 6997093200*a + 841188941120.
5*(a + 121)*(a + 37288)**2
Determine w, given that -15*w**5 - 169415*w**4 - 733800*w**3 + 564500*w**2 = 0.
-11290, -5, 0, 2/3
Solve -1594*t**4 + 41468*t**3 - 301890*t**2 + 578376*t - 8640 = 0 for t.
12/797, 3, 8, 15
Let -10*z**5/7 + 15644*z**4/7 + 19316*z**3 + 104192*z**2/7 - 587938*z/7 - 81796 = 0. What is z?
-7, -13/5, -1, 2, 1573
Factor u**3/5 - 13786106*u**2/5 + 27572209*u/5 - 13786104/5.
(u - 13786104)*(u - 1)**2/5
Suppose 2*f**4 - 6366*f**3 + 4650526*f**2 + 675531510*f - 2776127544 = 0. What is f?
-127, 4, 1653
Solve i**3/4 - 18833*i**2/4 + 2584671*i/4 - 89006895/4 = 0 for i.
69, 18695
Suppose -36*d**5 + 307988*d**4 - 354063028*d**3 + 432352108*d**2 - 78597032*d = 0. What is d?
0, 2/9, 1, 1367, 7187
Factor 2*a**2 - 20*a - 4584342.
2*(a - 1519)*(a + 1509)
Find b, given that 3*b**2 + 38322*b + 3839919 = 0.
-12673, -101
Factor 2*c**3 - 5521882*c**2 + 3811394841798*c + 3811400363682.
2*(c - 1380471)**2*(c + 1)
Find i such that 2*i**5/3 - 126592*i**4/3 + 2004077746*i**3/3 - 28037849564*i**2/3 + 29368838696*i - 26697410160 = 0.
2, 10, 31641
Let 2*j**2/7 + 32*j - 198528/7 = 0. What is j?
-376, 264
Factor 3*z**2/2 - 2001291*z - 4002588.
3*(z - 1334196)*(z + 2)/2
Find g such that -3*g**5/2 + 79*g**4/2 + 12525*g**3/2 - 454871*g**2/2 + 70923*g + 150212 = 0.
-68, -2/3, 1, 47
Solve k**2 - 3549033*k - 14196148 = 0 for k.
-4, 3549037
Find s such that 2*s**2/5 - 14410*s + 5464248/5 = 0.
76, 35949
Factor 230*c**2 - 159255*c - 574200.
5*(c - 696)*(46*c + 165)
Factor -2*g**2 - 5822*g - 791648.
-2*(g + 143)*(g + 2768)
Determine j, given that 49*j**5/3 - 17045*j**4 - 25325009*j**3/3 - 37001111*j**2 + 69637288*j/3 - 3414620 = 0.
-363, -5, 2/7, 1411
Suppose -5*i**3 - 210845*i**2 - 26926720*i - 860999680 = 0. What is i?
-42041, -64
Factor 3*n**3 + 6537*n**2 - 98832*n - 223788.
3*(n - 17)*(n + 2)*(n + 2194)
Factor -2*c**2/7 - 3266*c/7 + 217216/7.
-2*(c - 64)*(c + 1697)/7
Suppose 2*c**3/5 - 1221416*c**2/5 + 732842*c + 2442820 = 0. Calculate c.
-2, 5, 610705
Let 52*h**3/5 - 10268*h**2/5 + 14656*h/5 + 9408 = 0. What is h?
-20/13, 3, 196
Suppose 10*b**3/9 + 451234*b**2/9 - 90248*b/3 = 0. What is b?
-45124, 0, 3/5
Find u such that 11654*u**2/3 + 21116*u/3 - 4384/3 = 0.
-2, 1096/5827
Factor -255*d**2 - 9441*d - 18060.
-3*(d + 35)*(85*d + 172)
Determine v so that v**3/6 - 223549*v**2/6 + 123615959*v/6 - 17110183355/6 = 0.
277, 222995
Solve -2*h**5 + 10370*h**4 + 41512*h**3 + 32*h**2 - 166016*h - 166048 = 0.
-2, 2, 5189
Find s, given that 2*s**2 + 31971878*s + 95915616 = 0.
-15985936, -3
Factor 3*n**2 + 1600683*n + 62422074.
3*(n + 39)*(n + 533522)
Determine x so that -2*x**2 - 1732272*x - 1732270 = 0.
-866135, -1
Let -32*x**5 - 168336*x**4 + 305971406*x**3 + 1884234423014*x**2 - 942174570624*x + 117774211072 = 0. Calculate x.
-4256, 1/4, 3251
Determine x, given that x**4/4 + 69318185*x**3/4 + 1601670164807151*x**2/4 + 12336092973296959072419*x/4 - 12336099379978727392047 = 0.
-23106063, 4
Find r, given that 2*r**4/3 - 653186*r**3/3 + 1306324*r**2/3 + 13063592*r/3 + 5225456 = 0.
-2, 6, 326591
Factor 4*d**2 - 1450071200*d + 131419155316840000.
4*(d - 181258900)**2
Find v, given that -2*v**3 - 10200*v**2 - 91594*v + 224004 = 0.
-5091, -11, 2
Factor 3*a**2 - 30579*a - 827820.
3*(a - 10220)*(a + 27)
Suppose m**4 + 29208*m**3/5 - 2501464*m**2/5 - 4100448*m/5 + 2038544/5 = 0. Calculate m.
-5926, -2, 2/5, 86
Suppose 4*i**3 + 335682*i**2 - 163915482*i + 81873820 = 0. What is i?
-84406, 1/2, 485
Factor -197*g**2/3 - 88707*g - 265924/3.
-(g + 1)*(197*g + 265924)/3
Factor k**2/4 - 2672193*k/2 - 5344387/4.
(k - 5344387)*(k + 1)/4
Factor 2*q**2/19 - 3259742*q/19.
2*q*(q - 1629871)/19
Let l**2/6 - 25771*l/3 + 68712 = 0. What is l?
8, 51534
Factor -4*h**2/3 - 10609320*h - 21104563286700.
-4*(h + 3978495)**2/3
Determine m so that 5*m**5 - 120*m**4 - 38460*m**3 - 1348690*m**2 - 13015305*m - 11704950 = 0.
-37, -15, -1, 114
Suppose o**5/3 - 38*o**4/3 + 472*o**3/3 - 718*o**2 + 1293*o - 720 = 0. Calculate o.
1, 3, 15, 16
Find s, given that -4*s**5 + 964*s**4 - 20916*s**3 + 18044*s**2 + 39928*s = 0.
-1, 0, 2, 23, 217
Factor 2*y**2/7 - 4154172*y + 15100001879886.
2*(y - 7269801)**2/7
Factor -3*y**2 - 69776*y - 80036660.
-(y + 1210)*(3*y + 66146)
Find a, given that 578*a**5 - 21671668*a**4 - 59919450*a**3 - 28347980*a**2 + 9299272*a - 599952 = 0.
-2, -1, 2/17, 37497
Let -4*p**4/5 + 11301358*p**3/5 - 1130134*p**2 - 22602718*p/5 + 16952034/5 = 0. Calculate p.
-3/2, 1, 2825339
Let 147*h**4 + 90095586*h**3 + 13804838246163*h**2 + 15776869738824*h + 4507668662832 = 0. What is h?
-306447, -4/7
Find b, given that -9*b**3/5 + 19968*b**2 + 1466301*b/5 - 99972 = 0.
-15, 1/3, 11108
What is y in -3*y**5 + 84*y**4 + 3858*y**3 - 16884*y**2 - 20655*y = 0?
-27, -1, 0, 5, 51
Let -620*f**4 - 1096155*f**3 + 8840*f**2 = 0. What is f?
-1768, 0, 1/124
Find c such that 800*c**4 + 344216*c**3 + 777684*c**2 + 186616*c + 3424 = 0.
-428, -2, -1/4, -1/50
Let 4*y**3 - 48047220*y**2 + 96094428*y - 48047212 = 0. What is y?
1, 12011803
Solve f**3/4 - 441*f**2/4 + 8114*f - 8004 = 0.
1, 92, 348
Factor -4*i**2 - 3272*i - 669120.
-4*(i + 408)*(i + 410)
Determine s so that -s**2 - 82704*s - 5701815 = 0.
-82635, -69
What is q in 3*q**4/7 + 7731186*q**3/7 - 162355932*q**2/7 + 109342002*q + 935481129/7 = 0?
-2577083, -1, 11
Solve -l**2/2 - 7836*l - 547295/2 = 0.
-15637, -35
Find t such that -3*t**3/5 - 531*t**2/5 + 21324*t/5 + 52668 = 0.
-209, -10, 42
Solve -18*u**5/7 + 258*u**4/7 + 58642*u**3/7 + 322998*u**2/7 + 247920*u/7 - 629800/7 = 0 for u.
-47, -10/3, 1, 67
Find y, given that -y**2/4 + 3458532*y - 13834127/4 = 0.
1, 13834127
Solve 5*y**4/2 + 32075*y**3/2 - 449745*y**2/2 + 1831905*y/2 - 1157220 = 0.
-6429, 3, 8
Let u**4/3 + 17*u**3 - 3161*u**2/3 - 14297*u + 1951120/3 = 0. What is u?
-80, -29, 29
Let 5*w**2 + 3104400*w + 481864968000 = 0. Calculate w.
-310440
Find u such that u**4 - 29*u**3 - 2251*u**2 - 6115*u + 21450 = 0.
-33, -5, 2, 65
Let -3*n**5/2 - 57477*n**4/2 - 402207*n**3/2 - 287259*n**2/2 + 201105*n + 172368 = 0. What is n?
-19152, -6, -1, 1
Determine p so that 1029*p**4 - 20434029*p**3 - 78827175*p**2 - 101353599*p - 43438194 = 0.
-9/7, 19862
Factor 2*q**3/9 + 21329602*q**2/9.
2*q**2*(q + 10664801)/9
Factor 4*h**2 + 1172388*h.
4*h*(h + 293097)
Suppose -2*g**4 - 538678*g**3 + 5386863*g**2/2 - 2289422*g + 538688 = 0. Calculate g.
-269344, 1/2, 4
Suppose 5*l**2 + 8120*l + 1267875 = 0. What is l?
-1449, -175
Solve -2*f**2/3 + 456148*f/3 - 16874738/3 = 0.
37, 228037
Let 2*m**2/7 - 155328*m/7 + 1708366/7 = 0. Calculate m.
11, 77653
Suppose -3*p**5/5 - 3994*p**4 - 199472*p**3/5 - 478464*p**2/5 + 638464*p/5 + 510464 = 0. What is p?
-19940/3, -4, 2
Factor 3039*w**2/7 - 856956*w/7 - 1692.
3*(w - 282)*(1013*w + 14)/7
Find p, given that 3*p**2 + 3005070*p - 114196992 = 0.
-1001728, 38
Let 4*z**3 + 54084*z