-627437
Solve -3*a**4 + 501*a**3 + 2064*a**2 - 2004*a - 8208 = 0 for a.
-4, -2, 2, 171
Suppose -12*f**5/7 + 170*f**4/7 + 12666*f**3/7 + 22346*f**2/7 - 14670*f/7 - 20500/7 = 0. Calculate f.
-25, -2, -5/6, 1, 41
Determine u so that 8*u**5 + 58*u**4 - 156*u**3 - 270*u**2 = 0.
-9, -5/4, 0, 3
Factor -n**3/5 + 582*n**2/5 - 2268*n + 11240.
-(n - 562)*(n - 10)**2/5
Factor 40304715362*a**3 + 40308122378*a**2 + 3407088*a + 72.
2*(a + 1)*(141959*a + 6)**2
Factor -4*y**2/5 + 2172*y/5 - 14224.
-4*(y - 508)*(y - 35)/5
Factor -p**3 - 1568*p**2 - 788125*p - 124218750.
-(p + 318)*(p + 625)**2
Factor -2*d**3/9 + 298*d**2/9 + 2488*d/9 + 1256/3.
-2*(d - 157)*(d + 2)*(d + 6)/9
Let -b**4 - 469*b**3 - 73476*b**2 - 3869424*b - 3796416 = 0. Calculate b.
-156, -1
Solve -158*h**4 + 2356*h**3/3 - 1826*h**2/3 - 56*h/3 = 0 for h.
-7/237, 0, 1, 4
Factor 3*d**2 + 34161*d + 682020.
3*(d + 20)*(d + 11367)
Determine l, given that -4*l**2 - 142108*l - 994560 = 0.
-35520, -7
Suppose 4*i**4/5 + 608*i**3/5 - 3540*i**2 = 0. Calculate i.
-177, 0, 25
Suppose 4*j**5 - 4224*j**4 - 47000*j**3 + 55440*j**2 + 46996*j - 51216 = 0. Calculate j.
-12, -1, 1, 1067
Factor 2*w**2/3 - 4040*w + 24232/3.
2*(w - 6058)*(w - 2)/3
Factor -a**4 + 505*a**3 - 15939*a**2 + 172667*a - 628232.
-(a - 472)*(a - 11)**3
Factor -4*c**3 - 4572*c**2 - 189368*c - 184800.
-4*(c + 1)*(c + 42)*(c + 1100)
Solve -5*z**5/7 - 43*z**4/7 + 169*z**3/7 + 395*z**2/7 - 164*z/7 - 352/7 = 0 for z.
-11, -8/5, -1, 1, 4
Solve t**2/4 - 44727*t/4 + 22363/2 = 0.
1, 44726
Factor -16*n**3/9 - 2063960*n**2/9 - 1031977*n/9 - 14333.
-(n + 128997)*(4*n + 1)**2/9
Factor -4*t**2 + 129424*t - 258832.
-4*(t - 32354)*(t - 2)
Determine r, given that -5*r**2 - 295*r - 290 = 0.
-58, -1
Factor 3*x**2 - 4296*x + 1537968.
3*(x - 716)**2
Factor j**3/2 - 294*j**2 + 19018*j.
j*(j - 514)*(j - 74)/2
Determine p so that -2*p**2/7 + 220884*p/7 + 220886/7 = 0.
-1, 110443
Determine s so that 3*s**4 + 1026*s**3 + 1023*s**2 = 0.
-341, -1, 0
Factor 20*l**3/3 + 2348*l**2/3 - 4936*l.
4*l*(l - 6)*(5*l + 617)/3
Factor 2*f**3/7 - 654*f**2/7 - 2784*f - 19880.
2*(f - 355)*(f + 14)**2/7
Suppose z**4 - 4772*z**3 + 5673876*z**2 + 45620320*z + 91393600 = 0. What is z?
-4, 2390
Suppose -2*i**2/9 - 6218*i/9 + 194680/9 = 0. What is i?
-3140, 31
Factor -n**2 + 487*n + 3960.
-(n - 495)*(n + 8)
Determine g, given that -2*g**4 + 4768*g**3 + 14330*g**2 - 19096*g = 0.
-4, 0, 1, 2387
Find b such that 2*b**4/7 + 3996*b**3/7 - 96672*b**2/7 + 775424*b/7 - 2070528/7 = 0.
-2022, 8
Factor s**3 - 7242*s**2 + 13104396*s + 26237768.
(s - 3622)**2*(s + 2)
Determine n, given that 40*n**4 - 1012*n**3 + 7780*n**2 - 16764*n + 4356 = 0.
3/10, 3, 11
Factor z**2 + 22477*z - 67440.
(z - 3)*(z + 22480)
Factor 9*y**2/4 - 800823*y/2 + 71257497481/4.
(3*y - 266941)**2/4
Factor -2*l**3 + 786*l**2 - 102750*l + 4467022.
-2*(l - 137)**2*(l - 119)
What is b in 18*b**2 + 1198*b + 2944 = 0?
-64, -23/9
Suppose -3*n**3 - 28338*n**2 + 966093*n - 8219160 = 0. Calculate n.
-9480, 17
Factor 3*m**3 - 18*m**2 - 621*m + 4860.
3*(m - 12)*(m - 9)*(m + 15)
Factor -944350245*p**2 + 274860*p - 20.
-5*(13743*p - 2)**2
Determine w so that 676*w**3 + 69284384*w**2 - 21318320*w + 1639872 = 0.
-102492, 2/13
Factor -c**4 + 132*c**3 - 4995*c**2 + 37800*c + 162000.
-(c - 60)**2*(c - 15)*(c + 3)
Factor u**3/2 - 258*u**2 + 28152*u + 1371168.
(u - 276)**2*(u + 36)/2
Determine x, given that -2*x**2/7 - 1992*x/7 + 1994/7 = 0.
-997, 1
Factor p**3 + 199*p**2 - 202*p - 400.
(p - 2)*(p + 1)*(p + 200)
Factor -3*p**3/5 - 27*p**2/5 + 2898*p/5 + 1176.
-3*(p - 28)*(p + 2)*(p + 35)/5
Factor y**3/4 + 353*y**2/4 + 30251*y/4 - 160205/4.
(y - 5)*(y + 179)**2/4
Solve i**5/5 + 7*i**4/5 - 91*i**3/5 - 187*i**2/5 + 414*i - 360 = 0.
-12, -6, 1, 5
Factor -h**3 - 3499*h**2 + h + 3499.
-(h - 1)*(h + 1)*(h + 3499)
Let r**4 - 36*r**3 - 882*r**2 + 6156*r - 9639 = 0. Calculate r.
-21, 3, 51
Factor -i**3 + 4006*i**2 + 458080*i + 12914048.
-(i - 4118)*(i + 56)**2
Factor 5*s**2/2 + 1308355*s/2 - 1962555.
5*(s - 3)*(s + 261674)/2
Suppose 3*c**5 - 40464*c**4 + 136241907*c**3 + 1368575886*c**2 - 7107911820*c + 7652232168 = 0. Calculate c.
-14, 2, 6749
Factor h**2/6 + 151006*h/3 + 11401406018/3.
(h + 151006)**2/6
Factor -2*x**4/5 - 8016*x**3/5 - 7286924*x**2/5 + 1493196432*x/5 - 69398241458/5.
-2*(x - 89)**2*(x + 2093)**2/5
Suppose 3*p**3 - 23028*p**2 + 44783376*p - 2266889664 = 0. Calculate p.
52, 3812
Suppose 22*x**4/7 + 3180*x**3/7 - 99846*x**2/7 - 55404*x/7 = 0. Calculate x.
-171, -6/11, 0, 27
Factor p**4 + 37448*p**3 + 37447*p**2.
p**2*(p + 1)*(p + 37447)
Factor -5*h**3 - 195*h**2 + 20280*h - 307580.
-5*(h - 26)**2*(h + 91)
Find c, given that -361*c**4 + 336737*c**3 + 1763994*c**2 + 360172*c + 18760 = 0.
-5, -2/19, 938
Factor a**5 + 626*a**4 + 96064*a**3 - 599136*a**2.
a**2*(a - 6)*(a + 316)**2
Determine n, given that 5*n**2 - 4065*n + 63760 = 0.
16, 797
Factor 5*s**3 + 365*s**2 - 10345*s + 9975.
5*(s - 21)*(s - 1)*(s + 95)
Factor -2*n**3/5 + 104*n**2/5 + 32*n/5 - 1664/5.
-2*(n - 52)*(n - 4)*(n + 4)/5
Solve 10*p**5 + 58*p**4/5 - 342*p**3/5 - 106*p**2/5 + 292*p/5 + 48/5 = 0 for p.
-3, -1, -4/25, 1, 2
Factor -d**2/3 - 2602*d/3 + 149256.
-(d - 162)*(d + 2764)/3
Suppose p**3/2 - 207*p**2 + 3653*p/2 - 1620 = 0. Calculate p.
1, 8, 405
Determine g, given that -2*g**2/9 - 654986*g/9 - 72776 = 0.
-327492, -1
Determine b, given that -4*b**3 - 6964*b**2 - 3048416*b - 15068480 = 0.
-868, -5
Solve 2*q**2 + 411836*q - 411838 = 0 for q.
-205919, 1
Find y, given that -3*y**4/2 - 363*y**3 - 1038*y**2 + 8931*y - 15057/2 = 0.
-239, -7, 1, 3
Determine k so that -3*k**4/5 + 882*k**3/5 - 4347*k**2/5 + 3468*k/5 = 0.
0, 1, 4, 289
Factor -10*s**2 - 464025*s + 232015.
-5*(s + 46403)*(2*s - 1)
Factor -5*g**3 + 18570*g**2 + 824340*g + 9094360.
-5*(g - 3758)*(g + 22)**2
Factor y**3/2 - 421*y**2/2 - 4321*y/2 + 4741/2.
(y - 431)*(y - 1)*(y + 11)/2
Let 2*l**3/7 - 22*l**2 - 9848*l/7 + 20296/7 = 0. Calculate l.
-43, 2, 118
Factor u**4 - 2*u**3 - 21*u**2 - 18*u.
u*(u - 6)*(u + 1)*(u + 3)
Factor g**5/3 - 112*g**4/3 + 3700*g**3/3 - 14678*g**2/3 - 707701*g/3 - 689210/3.
(g - 41)**3*(g + 1)*(g + 10)/3
Let 2*a**3/9 + 17780*a**2/9 + 39480466*a/9 - 158206472/9 = 0. Calculate a.
-4447, 4
Solve -2*f**5/7 - 32*f**4/7 + 2*f**3/7 + 512*f**2/7 + 480*f/7 = 0 for f.
-15, -4, -1, 0, 4
Suppose -2*l**3 - 44*l**2 + 1406*l - 1360 = 0. Calculate l.
-40, 1, 17
Factor w**2/4 + 513*w/4 - 1295/2.
(w - 5)*(w + 518)/4
Solve -7*l**5/11 + 10327*l**4/11 + 7389*l**3/11 - 13279*l**2/11 - 7382*l/11 + 2952/11 = 0 for l.
-1, 2/7, 1, 1476
Factor -5*i**4 + 200*i**3 - 1020*i**2 - 14400*i.
-5*i*(i - 30)*(i - 16)*(i + 6)
Factor -2*g**2 + 4558*g + 295092.
-2*(g - 2342)*(g + 63)
Factor -3*j**4 + 759*j**3 + 3*j**2 - 759*j.
-3*j*(j - 253)*(j - 1)*(j + 1)
Factor -3*z**3/4 + 1821*z**2/4 - 3633*z/4 + 1815/4.
-3*(z - 605)*(z - 1)**2/4
Suppose 2*j**2/15 + 946*j/15 + 1092 = 0. What is j?
-455, -18
What is f in -4*f**5 + 184*f**4/3 + 464*f**3 + 776*f**2/3 - 140*f = 0?
-5, -1, 0, 1/3, 21
Factor 2*p**2/7 + 1728*p/7 - 15840.
2*(p - 60)*(p + 924)/7
Find l such that -l**4 + 131*l**3/4 - 1057*l**2/4 + 1029*l/4 + 9261/4 = 0.
-9/4, 7, 21
Factor -4*c**2 - 3539112*c - 782832109284.
-4*(c + 442389)**2
Find l such that 2*l**2/15 + 318*l + 9532/15 = 0.
-2383, -2
Find d such that 3*d**2/5 - 26064*d/5 = 0.
0, 8688
Factor 3*j**2 + 31398*j.
3*j*(j + 10466)
Let -a**3 + 42979*a**2 - 42978*a = 0. Calculate a.
0, 1, 42978
Let -p**2 + 25676*p - 164814244 = 0. Calculate p.
12838
Factor b**2 - 10407*b + 41612.
(b - 10403)*(b - 4)
Solve -3*x**3 + 2040*x**2 + 48237*x + 189810 = 0.
-18, -5, 703
Suppose -5*q**2 - 7500*q - 22455 = 0. Calculate q.
-1497, -3
Determine z, given that 3*z**4 + 84*z**3 - 2304*z**2 + 8880*z + 27600 = 0.
-46, -2, 10
Suppose -u**3 + 110*u**2 + 4183*u - 538628 = 0. What is u?
-68, 89
Factor -3*f**3 - 2328*f**2 - 32151*f - 112014.
-3*(f + 7)**2*(f + 762)
Suppose n**2/2 + 40535*n + 1643086225/2 = 0. Calculate n.
-40535
Let 2*u**2/3 - 227384*u/3 + 6462935432/3 = 0. What is u?
56846
Factor -1282*i**2 + 6422*i - 60.
-2*(i - 5)*(641*i - 6)
Let 4*o**4/7 + 148*o**3/7 - 3736*o**2/7 - 4576*o = 0. Calculate o.
-52, -7, 0, 22
Factor 5*o**3 - 6635*o**2 + 2237200*o - 23813020.
5*(o - 658)**2*(o - 11)
Find c such that -60*c**2 + 6424*c = 0.
0, 1606/15
Determine u, give