192
Suppose -2*p**2/15 - 2070*p - 92880 = 0. What is p?
-15480, -45
Factor -2*h**5/9 - 4*h**4 + 982*h**3/9 + 1144*h**2 - 163592*h/9.
-2*h*(h - 13)**2*(h + 22)**2/9
Determine g so that -4*g**3 - 5649296*g**2 - 418031476*g - 7733481000 = 0.
-1412250, -37
Suppose w**4/4 - 2405*w**3/4 + 3583*w**2/2 + 24020*w = 0. What is w?
-5, 0, 8, 2402
Factor 3*a**2/4 - 346797*a/4 + 19383000.
3*(a - 115375)*(a - 224)/4
Suppose 5*c**2 + 165500*c + 10571520 = 0. Calculate c.
-33036, -64
What is q in 8*q**4 + 19276*q**3 - 1377516*q**2 + 2003576*q + 1348576 = 0?
-2479, -1/2, 2, 68
Solve -h**4/7 - 115341*h**3/7 - 1153322*h**2/7 - 197700*h + 8303832/7 = 0.
-115331, -6, 2
Factor 10*s**2/3 + 7464232*s/3 - 4478550.
2*(s + 746425)*(5*s - 9)/3
Factor f**3/5 + 100083*f**2/5 - 901152*f.
f*(f - 45)*(f + 100128)/5
Factor 2*n**3/7 - 330520*n**2/7 - 2644256*n/7 - 5288576/7.
2*(n - 165268)*(n + 4)**2/7
What is h in 3*h**3/2 - 795*h**2 + 38853*h/2 + 475335 = 0?
-15, 42, 503
Factor -x**3/4 - 2652083*x**2/2 + 10608335*x/4 - 1326042.
-(x - 1)**2*(x + 5304168)/4
Factor 3*p**3 - 37599*p**2 + 127743033*p - 60889487589.
3*(p - 5983)**2*(p - 567)
Factor -2*t**2/3 + 154262*t/3 - 976752.
-2*(t - 77112)*(t - 19)/3
Determine d, given that -3*d**2 + 5266140*d - 2311019208300 = 0.
877690
Find u, given that -2*u**5/15 - 212*u**4/15 + 1378*u**3/5 + 23432*u**2/15 - 556504*u/15 + 329888/5 = 0.
-122, -12, 2, 13
What is n in -3*n**5/8 - 1893*n**4/8 - 26109*n**3/2 + 206508*n**2 - 305376*n - 3108096 = 0?
-568, -76, -3, 8
Find p such that -9*p**4/4 + 1811235*p**3/2 - 13282293*p**2/4 + 2414955*p + 1207479 = 0.
-1/3, 2, 402493
What is y in -y**4/8 - 11381*y**3/4 + 706471*y**2/8 - 638177*y/2 + 615411/2 = 0?
-22793, 2, 27
Factor -x**2 + 23468552*x - 137693233244176.
-(x - 11734276)**2
Find j, given that 5*j**3 + 138395*j**2 - 3324245*j + 3185845 = 0.
-27703, 1, 23
Find q, given that 28*q**5 - 3264*q**4 + 69576*q**3 - 400192*q**2 - 184548*q = 0.
-3/7, 0, 13, 91
Determine n so that -n**2/3 - 3934454*n/3 - 3869982069529/3 = 0.
-1967227
Factor 2*a**2 + 168268*a + 190208496.
2*(a + 1146)*(a + 82988)
What is w in w**4 + 2970*w**3 + 2283116*w**2 + 114464664*w - 238085568 = 0?
-1458, -56, 2
What is u in 2*u**3 + 24202*u**2/7 - 226780*u + 64512 = 0?
-1792, 2/7, 63
Factor -b**2 + 1385*b + 347634.
-(b - 1602)*(b + 217)
Factor 405*j**3 + 13119885*j**2 - 2915545*j + 161975.
5*(j + 32395)*(9*j - 1)**2
Suppose -763*i**5 - 183881*i**4 + 744407*i**3 - 935099*i**2 + 376316*i - 980 = 0. Calculate i.
-245, 2/763, 1, 2
What is m in -m**3/4 - 23261*m**2 + 93075*m/4 + 1395675/2 = 0?
-93045, -5, 6
Determine r, given that r**2 + 79646039*r - 79646040 = 0.
-79646040, 1
Suppose -12*c**5 - 2995568*c**4 - 7988120*c**3 - 5991072*c**2 + 4*c + 998512 = 0. What is c?
-249628, -1, 1/3
Determine v, given that -3*v**4/5 - 22761906*v**3/5 - 43175363729391*v**2/5 + 91047624*v/5 + 172701454917612/5 = 0.
-3793651, -2, 2
Factor j**2 - 267014*j + 534024.
(j - 267012)*(j - 2)
Suppose -5*p**2 - 728346340*p - 26524419549569780 = 0. Calculate p.
-72834634
Factor 3*v**4 + 108*v**3 + 336*v**2 - 8640*v + 21504.
3*(v - 4)**2*(v + 16)*(v + 28)
Let j**3 - 34982258*j**2 + 305939593694641*j = 0. What is j?
0, 17491129
Factor -z**3/4 + 27808591*z**2/4 - 48332368766050*z + 144997043728827.
-(z - 13904294)**2*(z - 3)/4
Determine x, given that -5*x**5/2 - 1805*x**4/4 + 77745*x**3/4 - 79045*x**2 + 34720*x = 0.
-217, 0, 1/2, 4, 32
Factor 4*y**2 - 15306416*y + 14642898172816.
4*(y - 1913302)**2
Determine d so that -d**4 - 18462*d**3 + 36952*d**2 + 443136*d = 0.
-18464, -4, 0, 6
Suppose -2*q**4 - 65826*q**3 - 65806*q**2 + 592434*q + 592416 = 0. Calculate q.
-32912, -3, -1, 3
Determine f so that -5*f**4/4 - 85*f**3/4 + 885*f**2 + 16200*f = 0.
-24, -20, 0, 27
Factor -2*q**3/5 + 8084*q**2/5 - 7097234*q/5.
-2*q*(q - 2753)*(q - 1289)/5
Solve b**3/8 - 73107*b**2/8 - 13926621*b/8 + 13999727/8 = 0 for b.
-191, 1, 73297
Find m, given that m**3/4 - 40113*m**2/4 + 2837941*m/2 = 0.
0, 142, 39971
Find v, given that 4*v**5 - 2892*v**4 + 30040*v**3 + 913776*v**2 + 2347360*v - 8544000 = 0.
-10, -6, 2, 25, 712
Determine r so that 729*r**3 + 1060698*r**2 + 1064331*r + 4362 = 0.
-1454, -1, -1/243
Let 3*c**2/4 - 3675*c/2 + 995052 = 0. Calculate c.
808, 1642
Factor u**2 - 55914*u + 7863993.
(u - 55773)*(u - 141)
Let -92*d**2 - 4352132*d + 946120 = 0. What is d?
-47306, 5/23
Solve 2*n**2/11 - 8604*n/11 + 208832 = 0.
286, 4016
Find o, given that -4*o**4/5 + 437556*o**3/5 - 11966609612*o**2/5 + 35894140812*o/5 + 47861187984/5 = 0.
-1, 4, 54693
Solve -b**3/5 - 19488*b**2/5 + 58543*b/5 + 272874 = 0 for b.
-19491, -7, 10
Factor -6*a**2 + 6115765*a - 1019294.
-(a - 1019294)*(6*a - 1)
Factor 2*x**3 - 150094*x**2 + 2912972080*x - 3605882578400.
2*(x - 36860)**2*(x - 1327)
Determine a, given that 5*a**3 - 131430*a**2 - 1446395*a + 1577820 = 0.
-12, 1, 26297
Find t such that 5*t**2 + 12140*t - 3289020 = 0.
-2674, 246
Suppose 26536654087876*a**2 - 247265952*a + 576 = 0. Calculate a.
12/2575687
Factor 3*r**5/4 - 5241*r**4/4 + 36393*r**3/2.
3*r**3*(r - 1733)*(r - 14)/4
Solve g**3/4 + 109333*g**2/4 - 300690*g + 656064 = 0 for g.
-109344, 3, 8
What is v in v**5/6 - 278183*v**4/6 + 9673153133*v**3/3 + 3225079836*v**2 - 45140917680*v - 77386337856 = 0?
-3, -2, 4, 139092
What is i in -i**2 - 3152683*i + 12610748 = 0?
-3152687, 4
Let 4*p**2/5 + 7863775*p - 9829719/5 = 0. What is p?
-9829719, 1/4
Factor u**3/3 + 2404*u**2/3 + 228095*u/3 - 230500/3.
(u - 1)*(u + 100)*(u + 2305)/3
Factor 3*d**2/5 + 68841198*d/5 + 394925878506267/5.
3*(d + 11473533)**2/5
Find v, given that -5*v**4 + 9715*v**3 + 3840150*v**2 + 3772080*v - 22982400 = 0.
-336, -3, 2, 2280
Solve -2*j**2/3 - 268424*j/3 + 4206782 = 0 for j.
-134259, 47
Factor -r**3 - 68095*r**2 - 1089327*r - 4288977.
-(r + 7)*(r + 9)*(r + 68079)
Let 2*o**2 - 519360320*o + 33716892748812800 = 0. Calculate o.
129840080
Solve 5991*f**2/8 - 30617007*f/4 + 30663/8 = 0 for f.
1/1997, 10221
Solve 5*l**3 + 1096790*l**2 + 3290335*l + 2193550 = 0.
-219355, -2, -1
Solve -x**3 + 77770*x**2 + 155543*x + 77772 = 0 for x.
-1, 77772
What is w in 81*w**4 - 153119367*w**3 - 374292194*w**2 - 143667732*w - 15122920 = 0?
-2, -2/9, 1890365
Factor -5*x**2/4 - 120645*x/2 + 23936715/4.
-5*(x - 99)*(x + 48357)/4
Find p, given that -5*p**5/2 - 9350*p**4 - 33465*p**3/2 + 7317135*p**2 = 0.
-3738, -29, 0, 27
Determine f, given that -4*f**4 - 13392*f**3 + 3441628*f**2 - 10231080*f + 6802848 = 0.
-3588, 1, 2, 237
Find g such that -4*g**5 + 1808*g**4 - 210152*g**3 + 1551856*g**2 + 1763820*g = 0.
-1, 0, 9, 205, 239
Solve 4*q**3 - 1845480*q**2 + 3690932*q + 5536416 = 0 for q.
-1, 3, 461368
Solve 2*i**4/11 + 288028*i**3/11 - 4896894*i**2/11 + 23044832*i/11 - 18435968/11 = 0.
-144031, 1, 8
Determine w, given that 3*w**2 - 105261*w + 526230 = 0.
5, 35082
Solve 464*r**3 - 176887*r**2 + 156959*r/4 + 4953/4 = 0 for r.
-13/464, 1/4, 381
Solve -6*q**2 - 276664*q - 184440 = 0.
-46110, -2/3
Find w, given that 5*w**5/4 - 1335*w**4/4 - 2460*w**3 + 4621760*w**2 - 117089280*w = 0.
-112, 0, 27, 176
Suppose 54*j**3/7 - 836*j**2/21 - 7970*j/21 + 1300/21 = 0. What is j?
-5, 13/81, 10
Find d such that 2*d**2 - 314*d - 50688 = 0.
-99, 256
Factor 4*i**3 - 21472*i**2 + 619204*i + 640680.
4*(i - 5339)*(i - 30)*(i + 1)
Factor 142805*s**3/3 - 1932515*s**2/3 + 2465705*s - 1869135.
5*(s - 1)*(169*s - 1059)**2/3
Factor y**2/4 - 227*y - 106875.
(y - 1250)*(y + 342)/4
Let 75*l**5 + 73185*l**4 + 349437*l**3 - 119685*l**2 - 244752*l - 58260 = 0. What is l?
-971, -5, -2/5, 1
Let -56*o**3/13 - 10074*o**2/13 + 85418*o/13 + 12408/13 = 0. Calculate o.
-188, -1/7, 33/4
Find q such that 5*q**2 + 230010*q - 120957200 = 0.
-46522, 520
Factor 3*z**2/8 + 5954970*z - 238198875/8.
3*(z - 5)*(z + 15879925)/8
Determine z, given that -10*z**5/3 - 11624*z**4/3 - 3261442*z**3/3 - 431916*z**2 + 651360*z = 0.
-690, -472, -1, 0, 3/5
Solve -2*o**3/15 - 5002*o**2/5 + 5709992*o/15 - 1898328/5 = 0.
-7866, 1, 362
Solve 1770962*v**4 + 1492917202*v**3 - 3173050*v**2 + 1686*v = 0 for v.
-843, 0, 1/941
Determine u, given that 3*u**2/4 + 497223*u/4 + 7456995/2 = 0.
-165711, -30
Determine x, given that x**4/5 + 23998*x**3/5 + 1556668*x**2/5 + 4896474*x - 26063037/5 = 0.
-23933, -33, 1
Suppose -k**4 + 2007724*k**3 - 4015443*k**2 - 2007724*k + 4015444 = 0. Calc