 51*z**2 - 270*z = 0. Calculate z.
-9, -5, -2, 0, 1
Factor -u**2 + 7629*u + 237460.
-(u - 7660)*(u + 31)
Determine h so that -5*h**4 + 60*h**3 + 1275*h**2 - 13330*h - 31200 = 0.
-15, -2, 13, 16
Suppose 3*n**3/8 - 206277*n**2/8 + 443218365*n + 443244150 = 0. What is n?
-1, 34380
Suppose -4*i**4 + 52*i**3 + 1784*i**2 - 7632*i + 7776 = 0. Calculate i.
-18, 2, 27
Determine v so that 8*v**5/9 - 3758*v**4/9 + 2484*v**3 - 44600*v**2/9 + 37124*v/9 - 3710/3 = 0.
1, 3, 1855/4
Let -31*h**2/4 + 1565*h/4 + 204 = 0. What is h?
-16/31, 51
What is o in 2*o**2/7 + 2738*o/7 + 13340 = 0?
-1334, -35
Let s**2/5 - 7228*s/5 + 13060996/5 = 0. Calculate s.
3614
Factor 5*y**4 - 170*y**3 + 1425*y**2 + 4500*y - 67500.
5*(y - 15)**2*(y - 10)*(y + 6)
Suppose -536*z**2 - 363940*z + 2716 = 0. What is z?
-679, 1/134
Determine g, given that -g**3 - 26333*g**2 + 26334*g = 0.
-26334, 0, 1
Factor -2*m**4 + 174*m**3 - 1428*m**2 - 8624*m.
-2*m*(m - 77)*(m - 14)*(m + 4)
Determine g so that -2*g**4 - 92*g**3 - 264*g**2 - 260*g - 86 = 0.
-43, -1
Let 6*q**2 + 1300122*q/5 + 1300092/5 = 0. Calculate q.
-216682/5, -1
Factor 4*n**3 - 820*n**2 + 54400*n - 1152000.
4*(n - 80)**2*(n - 45)
Factor -5*y**2 + 5650*y.
-5*y*(y - 1130)
Factor -248*i**2 - 530972*i - 8564.
-4*(i + 2141)*(62*i + 1)
Let 25*f**3 - 2035*f**2 - 72520*f - 70460 = 0. Calculate f.
-26, -1, 542/5
Determine y so that -3*y**2 - 72111*y - 144210 = 0.
-24035, -2
Factor 2*r**3/19 - 25294*r**2/19 + 79935350*r/19 + 240033750/19.
2*(r - 6325)**2*(r + 3)/19
Determine y so that 16*y**4/5 + 180*y**3 - 8816*y**2/5 + 3708*y + 1040 = 0.
-65, -1/4, 4, 5
Factor -15133548*a**3 + 8862716*a**2 + 792701*a + 16562.
-(3*a - 2)*(2246*a + 91)**2
Factor -y**3/11 + 457*y**2/11 + 1378*y/11 + 920/11.
-(y - 460)*(y + 1)*(y + 2)/11
Solve -4*n**2 - 2276*n - 13512 = 0.
-563, -6
Let -2*w**3/7 - 22*w**2/7 + 4*w/7 + 240/7 = 0. Calculate w.
-10, -4, 3
Let -3*b**2/2 + 22476*b - 1659117/2 = 0. Calculate b.
37, 14947
Determine h, given that -2*h**2/3 + 1362*h = 0.
0, 2043
Solve -5*h**4 - 445*h**3 + 21510*h**2 - 225180*h + 204120 = 0.
-126, 1, 18
What is q in 2*q**2/13 - 4586*q/13 - 111216/13 = 0?
-24, 2317
Factor -n**3 + 735*n**2 + 11952*n + 48064.
-(n - 751)*(n + 8)**2
Factor -2*y**2 + 4197200*y - 2202060980000.
-2*(y - 1049300)**2
What is o in -2*o**3/9 - 380*o**2/9 + 2818*o/9 + 3940/3 = 0?
-197, -3, 10
Factor 4*f**2 + 86164*f - 1034544.
4*(f - 12)*(f + 21553)
Factor -5*i**3 - 108720*i**2 + 5*i + 108720.
-5*(i - 1)*(i + 1)*(i + 21744)
Factor s**3 + 2847*s**2 + 2027775*s + 2024929.
(s + 1)*(s + 1423)**2
What is p in 7*p**5/10 - 29513*p**4/5 + 61983184*p**3/5 + 979562432*p**2/5 + 742342656*p - 1141899264/5 = 0?
-8, 2/7, 4224
Factor -2*o**3/3 - 1114*o**2/3 + 180256*o/3.
-2*o*(o - 131)*(o + 688)/3
Factor -n**3 - 88*n**2 - 1379*n - 1292.
-(n + 1)*(n + 19)*(n + 68)
Factor 5*j**3/4 - 19459*j**2/4 - 10708*j - 1947.
(j - 3894)*(j + 2)*(5*j + 1)/4
Factor 15*w**3/2 - 245391*w**2/2 + 501523872*w + 2309606778.
3*(w - 8182)**2*(5*w + 23)/2
Determine m so that -2*m**2 + 252*m - 3136 = 0.
14, 112
Factor -2*y**2 + 348*y + 15614.
-2*(y - 211)*(y + 37)
Determine d, given that 3*d**3 - 5637*d**2 + 2605197*d + 40356405 = 0.
-15, 947
Factor 5*n**3 - 2720*n**2 + 349185*n + 709290.
5*(n - 333)*(n - 213)*(n + 2)
Solve 2*v**2/3 - 2944*v/3 + 19360 = 0 for v.
20, 1452
Suppose 135*d**5 - 8115*d**4 + 143045*d**3 - 605685*d**2 + 55080*d + 43740 = 0. Calculate d.
-2/9, 1/3, 6, 27
Determine m, given that -2*m**3/11 + 11300*m**2/11 - 7182*m = 0.
0, 7, 5643
Determine h, given that -4*h**2 + 31148*h = 0.
0, 7787
Let r**2/4 + 23569*r/2 + 518397/4 = 0. What is r?
-47127, -11
Solve s**2/3 - 666806*s/3 + 111157560409/3 = 0 for s.
333403
Factor g**3 + 298*g**2 + 24881*g + 386420.
(g + 20)*(g + 139)**2
Determine s so that -5*s**5 - 2980*s**4 + 1264900*s**3 - 143435250*s**2 + 5122490625*s + 5267193750 = 0.
-910, -1, 105
Determine d so that d**5/2 + 61*d**4 + 1477*d**3/2 + 3326*d**2 + 6136*d + 3488 = 0.
-109, -4, -1
Factor 314*c**4/17 - 622*c**3/17 - 12*c**2/17.
2*c**2*(c - 2)*(157*c + 3)/17
What is k in -k**3/5 - 414*k**2/5 - 55104*k/5 - 2313056/5 = 0?
-164, -86
Factor 6*g**3/7 + 519264*g**2/7 - 1557846*g/7.
6*g*(g - 3)*(g + 86547)/7
Factor -c**4 - 61*c**3 - 250*c**2 + 25764*c + 77976.
-(c - 18)*(c + 3)*(c + 38)**2
Suppose 7*h**3/6 + 227*h**2/3 + 2519*h/2 + 1185 = 0. What is h?
-237/7, -30, -1
Factor 2*d**2 + 4832*d + 76800.
2*(d + 16)*(d + 2400)
Find g, given that 5*g**3 - 585*g**2 + 16060*g = 0.
0, 44, 73
Determine r, given that 2*r**4/11 - 568*r**3/11 - 45560*r**2/11 - 73984*r = 0.
-34, 0, 352
Factor 5*k**2 + 2410*k + 9560.
5*(k + 4)*(k + 478)
Let 14*j**5 + 5548*j**4 + 759012*j**3 + 39055040*j**2 + 441257182*j + 122902980 = 0. What is j?
-127, -15, -2/7
Solve 7*k**4 - 1895*k**3 - 98913*k**2 - 1201957*k - 335386 = 0 for k.
-23, -2/7, 317
Factor -2*b**2 + 117638*b - 705756.
-2*(b - 58813)*(b - 6)
Factor -v**4 + 51043*v**3 + 765795*v**2 + 3829225*v + 6382250.
-(v - 51058)*(v + 5)**3
Suppose 10*v**3/11 + 1564*v**2/11 - 30522*v/11 + 17748/11 = 0. Calculate v.
-174, 3/5, 17
Factor -4*x**2 + 42936*x - 85856.
-4*(x - 10732)*(x - 2)
Factor b**5 - 63*b**4 - 165*b**3 + 2275*b**2.
b**2*(b - 65)*(b - 5)*(b + 7)
Suppose 4*s**2 + 28104*s - 56224 = 0. Calculate s.
-7028, 2
Find p such that 2*p**5/7 + 94*p**4/7 + 214*p**3/7 - 2158*p**2/7 + 264*p = 0.
-44, -7, 0, 1, 3
Let -36*s**4 + 1844*s**3 - 13224*s**2 + 21424*s - 4128 = 0. What is s?
2/9, 2, 6, 43
Solve 2*a**2/23 - 14384*a/23 + 1067550/23 = 0 for a.
75, 7117
Factor 11*a**2/3 + 2141*a/3 + 1358/3.
(a + 194)*(11*a + 7)/3
Factor 5*f**3 + 6390*f**2 - 58095*f - 231660.
5*(f - 12)*(f + 3)*(f + 1287)
Factor -4*y**2/5 + 12964*y/5 - 2592.
-4*(y - 3240)*(y - 1)/5
Factor 2*z**2 + 147024*z - 294056.
2*(z - 2)*(z + 73514)
Factor 4*y**3 - 230568*y**2 + 3322600164*y.
4*y*(y - 28821)**2
Let -4*d**5/7 + 1588*d**4/7 - 235852*d**3/7 + 15491516*d**2/7 - 374728640*d/7 - 390457600/7 = 0. What is d?
-1, 95, 104
Factor 3*u**2 + 189*u - 3234.
3*(u - 14)*(u + 77)
Let 5*u**4 - 3615*u**3 + 520400*u**2 + 50199540*u + 49675520 = 0. Calculate u.
-64, -1, 394
Factor 7*k**2 + 8900*k - 5088.
(k + 1272)*(7*k - 4)
Factor 2*g**3 - 22*g**2 - 82*g + 390.
2*(g - 13)*(g - 3)*(g + 5)
Find x, given that 5*x**3 - 3135*x**2 = 0.
0, 627
Solve 3*f**4/4 - 2121*f**3/4 + 10539*f**2/4 - 6291*f/4 - 9477/2 = 0.
-1, 3, 702
Let -4*p**2 - 13076*p - 182280 = 0. What is p?
-3255, -14
Factor -x**4/8 - 84295*x**3/8 - 1184288553*x**2/4 - 5546418042501*x/2 - 2772912959649.
-(x + 1)*(x + 28098)**3/8
Determine o so that -10*o**5/9 + 166*o**4/9 - 58*o**3/9 - 614*o**2/9 + 68*o/9 + 448/9 = 0.
-7/5, -1, 1, 2, 16
Factor 4*q**3 + 1404*q**2 + 21696*q - 20634704.
4*(q - 101)*(q + 226)**2
Factor -4*y**2 + 120424*y - 906371236.
-4*(y - 15053)**2
Factor b**2/7 + 51768*b/7 - 310644/7.
(b - 6)*(b + 51774)/7
Factor -4*z**2 + 264*z + 12544.
-4*(z - 98)*(z + 32)
Suppose 130*z**2 - 84375*z + 3245 = 0. Calculate z.
1/26, 649
Determine a, given that 4*a**5 - 400*a**4 + 12176*a**3 - 89984*a**2 - 768768*a + 1806336 = 0.
-6, 2, 28, 48
Find p such that p**2/8 - 395*p/8 + 4459/2 = 0.
52, 343
Factor 2788900*o**2 + 146960*o + 1936.
4*(835*o + 22)**2
Find i, given that -i**5 - 4960*i**4 + 14898*i**3 + 44672*i**2 + 24815*i = 0.
-4963, -1, 0, 5
Solve -2*x**4/5 + 380*x**3 - 467898*x**2/5 + 7849304*x/5 - 7383304/5 = 0.
1, 17, 466
Let q**4 + 3000*q**3 + 2144392*q**2 - 160444128*q - 329441840 = 0. Calculate q.
-1534, -2, 70
Determine v so that 2*v**3/5 + 2732*v**2 + 326976*v/5 + 1960128/5 = 0.
-6806, -12
Determine z so that -2*z**3/5 + 198*z**2/5 + 2044*z - 21216/5 = 0.
-39, 2, 136
Factor -2*y**2/23 + 88046*y/23 - 704240/23.
-2*(y - 44015)*(y - 8)/23
Let 2*m**4/5 + 564*m**3/5 - 456*m**2 + 2288*m/5 = 0. What is m?
-286, 0, 2
Suppose -3*q**5 + 651*q**4 + 669*q**3 - 3279*q**2 + 1962*q = 0. Calculate q.
-3, 0, 1, 218
Let -x**2 - 26819*x + 26820 = 0. Calculate x.
-26820, 1
Suppose 2*j**2 - 2508*j - 2510 = 0. What is j?
-1, 1255
Factor -21*s**2 - 193299*s - 138060.
-3*(s + 9204)*(7*s + 5)
Factor 2*a**4/5 + 65062*a**3/5 + 130118*a**2/5 + 65058*a/5.
2*a*(a + 1)**2*(a + 32529)/5
Suppose 5*n**4 + 8930*n**3 + 44495*n**2 - 53430*n = 0. Calculate n.
-1781, -6, 0, 1
Solve -18*b**5 - 14493*b**4 - 16850*b**3 + 27340*b**2 + 3208*b - 6432 = 0.
-804, -2, -1/2, 2/3
Determine g