**5/8 - 46845*q**4/4 + 91400445*q**3 + 548683770*q**2 + 1097554950*q + 731765772.
3*(q - 15618)**2*(q + 2)**3/8
Factor 5*y**2 + 19100*y + 18240500.
5*(y + 1910)**2
Factor -4*p**2/3 - 77840*p/3 - 378691600/3.
-4*(p + 9730)**2/3
Factor 3*i**2 - 1016520*i + 86109409200.
3*(i - 169420)**2
Let -l**3 + 46*l**2 + 6696*l = 0. What is l?
-62, 0, 108
Find g such that -g**5 + 114*g**4 + 3*g**3 - 344*g**2 + 228*g = 0.
-2, 0, 1, 114
Determine b so that 4*b**4/5 - 21098*b**3/5 - 52776*b**2/5 + 31662*b/5 = 0.
-3, 0, 1/2, 5277
Let -10*m**3 - 7502*m**2/5 + 1450*m + 302/5 = 0. What is m?
-151, -1/25, 1
Let -20*c**4 - 8940*c**3 + 528255*c**2 - 6474060*c - 24416235 = 0. Calculate c.
-501, -3, 57/2
Suppose -4*x**4/7 - 68*x**3/7 + 780*x**2/7 + 15300*x/7 + 27000/7 = 0. Calculate x.
-15, -2, 15
Determine s so that -387*s**2 - 30588*s - 1185 = 0.
-79, -5/129
Factor -2*m**3 + 12218*m**2 - 19144928*m + 1471639752.
-2*(m - 3014)**2*(m - 81)
Factor -4*n**4 + 6944*n**3 - 3201856*n**2 + 163322880*n - 2212761600.
-4*(n - 840)**2*(n - 28)**2
Suppose 4*k**4 + 1134*k**3 - 11250*k**2 - 34036*k - 14064 = 0. Calculate k.
-293, -2, -1/2, 12
Solve x**4/6 + 55*x**3/3 - 1075*x**2/6 - 220*x/3 + 714 = 0.
-119, -2, 2, 9
Factor 3*m**3 - 276*m**2 + 5487*m + 5766.
3*(m - 62)*(m - 31)*(m + 1)
Determine d, given that -d**4 - 403*d**3 + 98022*d**2 - 6554020*d + 140375192 = 0.
-589, 62
Determine r, given that 36*r**4 + 908*r**3 + 6248*r**2 + 6528*r + 1152 = 0.
-12, -1, -2/9
Let -2*c**3 + 8324*c**2 + 2*c - 8324 = 0. What is c?
-1, 1, 4162
Find b, given that 5*b**4 - 11935*b**3 - 312730*b**2 - 2315040*b - 3474720 = 0.
-12, -2, 2413
Factor -4*v**4/7 - 7808*v**3 - 163932*v**2/7.
-4*v**2*(v + 3)*(v + 13661)/7
Find r such that r**2 + 45*r - 3400 = 0.
-85, 40
Factor g**3/4 + 91*g**2/4 + 835*g/4 + 2025/4.
(g + 5)**2*(g + 81)/4
What is b in -b**4/5 - 708*b**3/5 - 131526*b**2/5 - 439668*b - 1928205 = 0?
-345, -9
Let -v**4 + 123*v**3 - 2262*v**2 + 12448*v - 21216 = 0. Calculate v.
4, 13, 102
Let -3*n**3/4 + 9231*n**2 - 36915*n + 36912 = 0. Calculate n.
2, 12304
Suppose 4*o**4/3 + 152*o**3/3 + 1568*o**2/3 + 2560*o/3 = 0. Calculate o.
-20, -16, -2, 0
Let c**5/2 - 229*c**4/2 + 1326*c**3 - 5240*c**2 + 6944*c = 0. Calculate c.
0, 4, 217
Let -c**5 + 5168*c**4 + 25859*c**3 + 31038*c**2 = 0. What is c?
-3, -2, 0, 5173
Let m**4/4 + 1473*m**3/2 + 541695*m**2 - 1086338*m = 0. Calculate m.
-1474, 0, 2
What is i in 3*i**4 - 15339*i**3 + 26163189*i**2 - 14921575305*i + 59268671124 = 0?
4, 1703
Factor w**2/3 + 1349024*w/3 + 454966438144/3.
(w + 674512)**2/3
Solve -2*f**5/9 + 358*f**4/9 - 38*f**3 - 2494*f**2/9 + 344*f/9 + 712/3 = 0 for f.
-2, -1, 1, 3, 178
Factor -2*t**4/25 + 69628*t**3/25 - 161597304*t**2/5 + 125000899364*t + 125033221610.
-2*(t - 11605)**3*(t + 1)/25
Determine i so that 2*i**3 - 720*i**2 - 16002*i = 0.
-21, 0, 381
Solve 6*q**2/17 + 61912*q/17 - 1214 = 0 for q.
-10319, 1/3
Suppose q**2/3 + 117*q - 354 = 0. What is q?
-354, 3
Let l**3/3 + 277*l**2 + 58233*l + 852845/3 = 0. Calculate l.
-413, -5
Suppose v**2/5 + 1311*v + 45836/5 = 0. What is v?
-6548, -7
Determine s so that 3*s**4 + 4851*s**3 + 143001*s**2 + 271461*s + 133308 = 0.
-1587, -28, -1
Determine g, given that -22*g**2/3 - 6584*g/3 + 337792 = 0.
-4524/11, 112
Determine i so that 2*i**2/11 + 99732*i/11 + 1243308978/11 = 0.
-24933
Let -135*o**5 - 181134*o**4 - 60734202*o**3 + 16236852*o**2 + 9447009*o - 2701446 = 0. What is o?
-671, -2/5, 1/3
Suppose -16*l**2 + 3116*l/3 + 260/3 = 0. What is l?
-1/12, 65
Factor 5*u**3 + 835*u**2 - 137705*u - 138535.
5*(u - 103)*(u + 1)*(u + 269)
Factor 6*k**3 - 1183*k**2 - 21631*k + 3638.
(k - 214)*(k + 17)*(6*k - 1)
Let l**4/7 - 83*l**3 + 17330*l**2/7 - 22084*l + 46200 = 0. What is l?
3, 14, 550
Factor -2*j**2/5 + 2363592*j/5 - 698320892808/5.
-2*(j - 590898)**2/5
Let -5*n**2 - 72545*n - 145070 = 0. Calculate n.
-14507, -2
Let 2*a**4/5 - 4*a**3/5 - 28224*a**2/5 - 359424*a - 32292864/5 = 0. What is a?
-48, 146
Let i**4/8 + 35*i**3/8 - 3*i**2/8 - 1223*i/8 + 595/4 = 0. What is i?
-34, -7, 1, 5
Factor -g**3/6 - 251*g**2/6 - 850*g/3 + 976/3.
-(g - 1)*(g + 8)*(g + 244)/6
Solve 212*b**3/7 - 808*b**2/7 + 688*b/7 + 160/7 = 0.
-10/53, 2
Factor 2*q**2/3 - 780*q + 2338/3.
2*(q - 1169)*(q - 1)/3
What is d in -4*d**2/3 + 436*d/3 - 11872/3 = 0?
53, 56
Solve 356*s**3 + 6128*s**2 + 29696*s + 27648 = 0 for s.
-8, -108/89
Find c, given that 4*c**3/7 - 18044*c**2/7 + 144160*c/7 - 288192/7 = 0.
4, 4503
Factor 2*a**2/3 + 569240*a/3 + 40504272200/3.
2*(a + 142310)**2/3
Factor z**2/5 + 179*z/5 - 732/5.
(z - 4)*(z + 183)/5
Solve 2*g**5/5 - 218*g**4/5 + 198*g**3/5 + 1922*g**2/5 + 2368*g/5 + 864/5 = 0.
-1, 4, 108
Factor 2*y**2/7 - 1683608*y/7 + 354316987208/7.
2*(y - 420902)**2/7
Suppose -51*u**4 - 9531*u**3 - 458694*u**2 - 1240896*u + 152352 = 0. What is u?
-92, -3, 2/17
Solve 4*b**3 - 76*b**2 - 1248*b - 2160 = 0 for b.
-9, -2, 30
Suppose 4*v**5 + 481308*v**4 + 19303819880*v**3 + 258021281710072*v**2 - 1548726183763884*v + 1290685597752620 = 0. What is v?
-40111, 1, 5
Determine u so that -6*u**4 - 3884*u**3 - 72994*u**2 - 91724*u - 22608 = 0.
-628, -18, -1, -1/3
What is h in h**2/5 + 6791*h/5 + 14916 = 0?
-6780, -11
Factor -2*p**2 - 176622*p.
-2*p*(p + 88311)
Factor -5*r**4/3 - 134*r**3/3 - 104*r**2/3.
-r**2*(r + 26)*(5*r + 4)/3
Find f such that -3*f**2 - 4609296*f - 1770467467968 = 0.
-768216
Solve 705*j**3 + 40010*j**2 - 9995*j - 1140 = 0 for j.
-57, -4/47, 1/3
Determine k, given that k**4/6 + 1685*k**3/6 + 561*k**2 = 0.
-1683, -2, 0
Factor 4*u**4 + 536*u**3 + 18672*u**2 + 68384*u + 66304.
4*(u + 2)**2*(u + 56)*(u + 74)
Find b such that -2*b**3/5 + 5504*b**2/5 = 0.
0, 2752
Let -2*r**4 - 590*r**3 - 3490*r**2 - 6370*r - 3468 = 0. What is r?
-289, -3, -2, -1
Suppose -2*n**5/5 + 22*n**4/5 + 372*n**3/5 - 6232*n**2/5 + 5008*n - 3840 = 0. Calculate n.
-16, 1, 6, 10
Factor -2*k**3 - 198*k**2 - 3888*k - 21600.
-2*(k + 12)**2*(k + 75)
Find o such that -1888*o**3/11 - 592*o**2/11 + 650*o/11 - 96/11 = 0.
-48/59, 1/4
Factor -4*s**3 + 609052*s**2 - 23183716640*s - 23184325696.
-4*(s - 76132)**2*(s + 1)
Let -k**2/2 - 66477*k/2 - 33238 = 0. What is k?
-66476, -1
Solve -2332*d**2 - 391768*d + 1344 = 0 for d.
-168, 2/583
Determine g so that -2*g**4/11 + 180*g**3/11 + 1966*g**2/11 + 3384*g/11 + 1600/11 = 0.
-8, -1, 100
Suppose -165*z**4 - 8510*z**3 - 7600*z**2 = 0. Calculate z.
-152/3, -10/11, 0
Find t such that -3*t**4 - 8346*t**3 = 0.
-2782, 0
Suppose 2*w**5/13 - 14*w**4/13 + 28*w**3/13 - 4*w**2/13 - 30*w/13 + 18/13 = 0. What is w?
-1, 1, 3
Find c such that 40*c**5 + 705*c**4 + 3310*c**3 + 6525*c**2 + 5740*c + 1860 = 0.
-93/8, -2, -1
Find h, given that 3*h**2 - 385485*h - 385488 = 0.
-1, 128496
Determine o so that -5*o**4/3 + 240*o**3 - 15755*o**2/3 + 35340*o - 154700/3 = 0.
2, 10, 13, 119
What is i in -4*i**2 - 264*i + 3744 = 0?
-78, 12
Factor 1386*g**3 - 8318*g**2/3 + 4*g/3.
2*g*(g - 2)*(2079*g - 1)/3
Determine t, given that 10*t**5 + 3085*t**4 + 4510*t**3 - 29405*t**2 - 73820*t - 42980 = 0.
-307, -2, -1, 7/2
Factor 2*f**2/11 - 5219000*f/11 + 3404745125000/11.
2*(f - 1304750)**2/11
Factor -162*i**2/7 - 412618*i/7 - 10188/7.
-2*(i + 2547)*(81*i + 2)/7
Factor 2*r**4 + 624*r**3 + 52270*r**2 + 561000*r + 1575000.
2*(r + 5)*(r + 7)*(r + 150)**2
Solve -2*j**3/7 - 46520*j**2/7 - 270513800*j/7 = 0.
-11630, 0
Let -8*h**5/19 + 1238*h**4/19 + 4182*h**3/19 - 11672*h**2/19 - 3160*h/19 = 0. Calculate h.
-5, -1/4, 0, 2, 158
Find t, given that 5*t**2 + 3425*t - 10320 = 0.
-688, 3
Suppose -146*m**3/7 + 2076*m**2/7 - 2346*m/7 + 416/7 = 0. Calculate m.
16/73, 1, 13
Find n, given that -6*n**5/7 + 15*n**4 - 27*n**3/7 - 276*n**2 + 960*n/7 = 0.
-4, 0, 1/2, 5, 16
Suppose 5*f**3 + 113190*f**2 + 640938240*f + 3841555680 = 0. What is f?
-11316, -6
Factor 5*k**2 - 182245*k.
5*k*(k - 36449)
Factor z**4 - 34*z**3 - 659*z**2 + 2256*z.
z*(z - 47)*(z - 3)*(z + 16)
Solve 2*m**3 + 3786*m**2 + 828366*m - 1012863418 = 0.
-1141, 389
Factor 2*d**4 - 96*d**3 - 1970*d**2 - 4992*d.
2*d*(d - 64)*(d + 3)*(d + 13)
Factor 5*f**2/2 + 387200*f + 14992384000.
5*(f + 77440)**2/2
Find o such that -50*o**5/13 + 5890*o**4/13 + 19172*o**3/13 + 22652*o**2/13 + 11598*o/13 + 2178/13 = 0.
-1, -3/5, 121
Solve 3*g**3 + 384*g**2 - 96012*g = 0 for g.
-254, 0, 126
Factor -4*q**2 + 480*q - 9500.
-4*(q - 95)*(q 