8, 0
Find a such that a**3/2 - 9941*a**2/2 + 9920520*a - 5612916384 = 0.
1224, 7493
Solve -n**5/2 + 25454823*n**4/8 + 15909269*n**3/4 - 4772779*n**2/2 - 15909267*n/4 - 6363707/8 = 0 for n.
-1, -1/4, 1, 6363707
Factor 5*h**3 - 9390*h**2 - 8970395*h - 8961000.
5*(h - 2575)*(h + 1)*(h + 696)
Factor 3*p**2 - 354218694*p + 10455906931588803.
3*(p - 59036449)**2
Determine q so that -3355*q**5 - 56960*q**4 - 267125*q**3 - 208720*q**2 + 4800*q = 0.
-8, -1, 0, 15/671
Determine h so that 1453146*h**3 + 13078316*h**2/3 + 2906294*h + 4/3 = 0.
-2, -1, -1/2179719
Determine j so that -j**3/3 - 65*j**2 + 24238*j/3 + 417544 = 0.
-268, -41, 114
Factor -33*o**3 + 15914322*o**2 - 2893512*o.
-3*o*(o - 482252)*(11*o - 2)
Find r, given that -4*r**3/7 - 1114*r**2/7 - 6982*r/7 + 24480/7 = 0.
-272, -9, 5/2
Factor -3*d**3/2 - 259347*d**2 - 1037364*d.
-3*d*(d + 4)*(d + 172894)/2
What is a in -a**5 + 173*a**4 + 34419*a**3 - 141205*a**2 - 175450*a = 0?
-121, -1, 0, 5, 290
Solve 4*b**2 + 3760760*b + 63931764 = 0 for b.
-940173, -17
Find y such that y**5 - 233104*y**4 + 18110704164*y**3 - 468843798984174*y**2 - 10792229675598261*y - 19708939265896818 = 0.
-21, -2, 77709
Suppose 5*t**4 - 5259*t**3 + 4203*t**2 + 1051*t = 0. Calculate t.
-1/5, 0, 1, 1051
Factor -t**3 + 1624988*t**2 + 9749955*t + 14624946.
-(t - 1624994)*(t + 3)**2
Find s such that -s**3 + 15365969*s**2 - 61463864*s + 61463860 = 0.
2, 15365965
What is t in 2*t**5/7 + 506*t**4/7 - 31296*t**3/7 + 348840*t**2/7 = 0?
-306, 0, 15, 38
Find p, given that 15*p**2 + 295002310*p - 98334105 = 0.
-19666821, 1/3
Factor -x**2 + 238120*x + 5239124.
-(x - 238142)*(x + 22)
What is z in z**3/2 - 91063*z**2/2 - 45532*z = 0?
-1, 0, 91064
Solve -6911641*l**4 + 6469969*l**3 + 434616*l**2 + 7056*l = 0 for l.
-84/2629, 0, 1
Factor 9393*s**2 + 23970927*s - 22968.
3*(s + 2552)*(3131*s - 3)
Factor -y**2/4 - 3454289*y/2 + 20725770.
-(y - 12)*(y + 6908590)/4
What is z in z**5 + 63*z**4 - 541*z**3 - 21951*z**2 + 46368*z + 67716 = 0?
-66, -18, -1, 3, 19
Factor 2*a**3/3 + 98434*a**2/3 - 14403338*a/3 + 526110854/3.
2*(a - 73)**2*(a + 49363)/3
Let -q**5/7 + 792*q**4/7 - 2222*q**3/7 - 16404*q**2 + 47169*q + 2811996/7 = 0. Calculate q.
-11, -4, 9, 789
Suppose -5*b**4 - 21283215*b**3 - 22648751395200*b**2 + 22648772678420*b = 0. Calculate b.
-2128322, 0, 1
Suppose -3*v**2 - 13236186*v - 14599718318883 = 0. Calculate v.
-2206031
Factor 3*q**2 + 26268*q - 21173271.
3*(q - 743)*(q + 9499)
Find n such that -3*n**4/7 + 10716*n**3/7 - 3246471*n**2/7 + 6460806*n/7 - 3225048/7 = 0.
1, 332, 3238
What is n in 32*n**3 + 92144*n**2 + 1787682*n + 8700120 = 0?
-2860, -39/4
Solve -4*x**2/5 + 20642488*x/5 + 41284992/5 = 0 for x.
-2, 5160624
Solve 3*u**2/7 + 1734156*u/7 + 250608086028/7 = 0 for u.
-289026
Suppose 4*s**2 - 163956*s - 502006248 = 0. Calculate s.
-2862, 43851
Determine l, given that -l**4/3 - 206*l**3/3 + 100556*l**2 + 21070616*l/3 + 360912448/3 = 0.
-632, -34, 494
Let -4*s**5/9 + 36616*s**4/9 - 86959484*s**3/9 + 14341169912*s**2/9 + 28986496*s/3 - 1593467392 = 0. What is s?
-1, 1, 178, 4488
Let -5*c**2 + 80450*c - 56795000 = 0. Calculate c.
740, 15350
Factor -3*x**3 - 2260237*x**2 - 9040936*x/3 - 1004548.
-(x + 753411)*(3*x + 2)**2/3
Find w, given that 4*w**5 + 223220*w**4 + 223056*w**3 - 8929088*w**2 - 25000192*w = 0.
-55804, -4, 0, 7
Factor -2*q**3/3 + 352*q**2/3 - 19418*q/3 + 106580.
-2*(q - 73)**2*(q - 30)/3
Find h such that 24*h**4 + 1818668*h**3 + 34453528488*h**2 - 5750186196*h - 149299937384 = 0.
-37889, -2, 13/6
Solve 4*o**5 - 580*o**4 - 5464*o**3 - 12272*o**2 - 7392*o = 0 for o.
-6, -2, -1, 0, 154
Suppose -2*q**4/21 + 1642*q**3/21 + 1178*q**2/3 + 11558*q/21 + 236 = 0. What is q?
-3, -1, 826
Determine v, given that v**2 + 6237074*v + 9725273020369 = 0.
-3118537
Solve x**3/3 + 13618*x**2/3 + 12174267*x - 23414993244 = 0 for x.
-7443, 1268
Let z**2 + 2764425*z - 46995514 = 0. Calculate z.
-2764442, 17
What is f in -f**3/4 - 1561*f**2/4 - 9209*f + 19981 = 0?
-1537, -26, 2
What is r in -11*r**3/5 - 292243*r**2/5 - 1036014*r/5 - 478152/5 = 0?
-26564, -3, -6/11
Suppose -495*l**5/4 - 53463*l**4 - 642165*l**3/4 + 5211*l**2 + 27027*l = 0. What is l?
-429, -3, -14/33, 0, 2/5
Let -44*u**5/3 + 105344*u**4/3 - 111533*u**3 - 337117*u**2/3 - 33482*u/3 + 6376 = 0. Calculate u.
-1/2, 2/11, 4, 2391
Let -22*n**5 + 3110*n**4 - 89666*n**3 - 3110*n**2 + 89688*n = 0. Calculate n.
-1, 0, 1, 444/11, 101
Solve 2*b**5/7 + 20879410*b**4/7 - 167035364*b**3/7 + 459347324*b**2/7 - 501106206*b/7 + 187914834/7 = 0.
-10439713, 1, 3
Let 8*i**5/3 + 412618*i**4/3 - 378250*i**3 + 515804*i**2/3 + 206320*i/3 = 0. What is i?
-51580, -1/4, 0, 1, 2
Determine w, given that -w**4/4 + 4931*w**3/4 - 942216*w**2 - 1539889489*w - 1538946040 = 0.
-760, -1, 2846
Let -l**3/4 - 497*l**2/2 + 768037*l/4 - 766045/2 = 0. Calculate l.
-1505, 2, 509
Find x, given that 2*x**3/5 + 27640150*x**2 - 276401506*x/5 + 138200754/5 = 0.
-69100377, 1
What is p in -p**3 - 716220*p**2 + 78080083*p + 159025038 = 0?
-716329, -2, 111
Solve f**3/4 - 648*f**2 - 145885*f/4 + 198525 = 0.
-60, 5, 2647
Find l, given that 4*l**3 - 4736*l**2 - 125308*l - 643720 = 0.
-19, -7, 1210
Find p such that 3*p**4 - 2418*p**3 + 95655*p**2 - 1199700*p + 4819500 = 0.
10, 21, 765
Find l, given that l**5 + 6571*l**4 + 306714*l**3 + 560876*l**2 - 1226872*l - 2348640 = 0.
-6524, -45, -2, 2
What is p in 4*p**3 + 100252*p**2 + 789266240*p + 1864529811200 = 0?
-10360, -4343
Factor -1458*z**4/5 + 86473494*z**3/5 - 57648564*z**2/5 + 2562152*z - 948944/5.
-2*(z - 59309)*(9*z - 2)**3/5
Suppose -25*y**3/3 + 54355*y**2 + 21743*y + 6523/3 = 0. What is y?
-1/5, 6523
Factor g**3/3 - 617*g**2/3 + 83095*g/3 - 81253.
(g - 421)*(g - 193)*(g - 3)/3
Find l, given that -196*l**5 + 21609623*l**4 - 90293170*l**3 - 83899273*l**2 - 23813764*l - 2204980 = 0.
-2/7, -1/4, 5, 110249
Solve 4*c**5 - 63865604*c**4 + 254925865094380*c**3 + 764777978476804*c**2 + 764778106208032*c + 254926056691216 = 0 for c.
-1, 7983202
Let 5*h**4 - 2790*h**3 + 5565*h**2 - 2780*h = 0. Calculate h.
0, 1, 556
Find b, given that 3*b**5 - 132*b**4 - 6315*b**3 - 71736*b**2 - 218220*b + 296400 = 0.
-13, -10, 1, 76
Solve -3*f**2/8 + 13301715*f/4 - 6650856 = 0 for f.
2, 8867808
Solve 2*w**2 - 8620177*w + 12930261 = 0.
3/2, 4310087
Solve 2*a**5 + 14100*a**4 + 15862480*a**3 - 47672060*a**2 + 47700270*a - 15904792 = 0.
-5644, -1409, 1
Determine x so that -4*x**3 + 8612*x**2 - 584296*x + 2199648 = 0.
4, 66, 2083
Determine i so that -i**4 - 419*i**3 - 12473*i**2 - 34501*i - 22446 = 0.
-387, -29, -2, -1
Factor 14*x**3/5 + 8270*x**2 + 2763248*x/5 + 46700088/5.
2*(x + 34)**2*(7*x + 20199)/5
Find v such that 105*v**5/2 - 9535*v**4/4 + 122745*v**3/4 - 69570*v**2 - 553500*v = 0.
-3, 0, 12, 1025/42
Let -2*z**2 - 127314*z - 6106464 = 0. Calculate z.
-63609, -48
Find x, given that 5*x**5/3 - 285850*x**4 + 36773887625*x**3/3 - 122558187500*x**2 + 919132812500*x/3 = 0.
0, 5, 85750
Determine k, given that -k**5/8 + 2567*k**4/4 - 955109*k**3/8 + 924337*k**2 - 1828170*k = 0.
0, 4, 185, 4941
Suppose -5*i**4/4 - 16045*i**3/4 - 4541615*i**2/2 + 16045*i + 9083250 = 0. Calculate i.
-2475, -734, -2, 2
Let -5*c**2 + 13235*c - 327750 = 0. What is c?
25, 2622
Let -4*n**5 - 2620*n**4 - 23324*n**3 - 43796*n**2 + 85632*n + 232560 = 0. Calculate n.
-646, -5, -3, 2
Determine r, given that 3*r**5 + 18015*r**4 + 412824*r**3 + 394812*r**2 = 0.
-5982, -22, -1, 0
Let -5*d**2/2 + 72285*d/2 - 1693175 = 0. What is d?
47, 14410
Suppose c**3/3 - 493291*c**2/3 + 4932835*c/3 - 4110675 = 0. Calculate c.
5, 493281
Determine m, given that 3*m**5/5 + 126*m**4/5 - 18984*m**3/5 + 309618*m**2/5 - 997083*m/5 + 141264 = 0.
-109, 1, 3, 15, 48
Factor s**3/7 - 797*s**2/7 - 100788*s/7 - 927180/7.
(s - 909)*(s + 10)*(s + 102)/7
Determine r so that -157*r**2 + 134249*r - 11970 = 0.
14/157, 855
What is z in -z**4/4 + 15359*z**3/4 + 4138561*z**2/4 + 276390625*z/4 = 0?
-133, 0, 15625
Find b such that -4*b**2 - 971836*b + 14578440 = 0.
-242974, 15
Factor -2*u**2/11 + 348892204*u/11 - 15215721251497202/11.
-2*(u - 87223051)**2/11
Factor -4*m**4/3 + 1061108*m**3/3 - 31276629900*m**2 + 921920367532500*m - 1843715631375000.
-4*(m - 88425)**3*(m - 2)/3
Find c, given that -11*c**5/2 - 70307*c**4/2 + 1583697*c**3/2 - 3597829*c**2/2 + 1362925*c - 320700 = 0.
-