Factor -586*s**2/5 + 15176*s/5 + 312.
-2*(s - 26)*(293*s + 30)/5
Factor y**3 - 81*y**2 - 4440*y - 48400.
(y - 121)*(y + 20)**2
Solve x**4 + 479*x**3 - 529*x**2 - 23471*x + 23520 = 0 for x.
-480, -7, 1, 7
Determine y so that -y**3/3 - 490*y**2/3 + 1996*y - 6024 = 0.
-502, 6
Suppose 39*r**3 - 23982*r**2 - 25869*r - 1848 = 0. Calculate r.
-1, -1/13, 616
Find m such that -18*m**4 - 393*m**3 + 3348*m**2 + 67068*m + 220320 = 0.
-24, -6, 85/6
Let 4*p**3 - 140*p**2 + 752*p + 896 = 0. What is p?
-1, 8, 28
Determine w so that -w**4/2 - 2597*w**3/6 + 135371*w**2/6 - 14945*w/2 = 0.
-915, 0, 1/3, 49
Suppose 4*l**4 - 2000*l**3 + 198708*l**2 + 403432*l + 202720 = 0. Calculate l.
-1, 140, 362
Factor 3*b**2/2 + 51*b/2 - 101682.
3*(b - 252)*(b + 269)/2
Factor -4*h**3 + 388*h**2 + 45704*h + 176352.
-4*(h - 167)*(h + 4)*(h + 66)
Factor -3*p**3 + 127884*p**2 - 1363626768*p + 16345111104.
-3*(p - 21308)**2*(p - 12)
Factor -x**2/8 - 335*x/8 + 59125/4.
-(x - 215)*(x + 550)/8
Suppose 22*l**4/17 - 8136*l**3/17 + 1127520*l**2/17 - 4082400*l + 1600884000/17 = 0. What is l?
90, 1098/11
Let -50*b**5/17 + 70*b**4/17 + 3306*b**3/17 + 9458*b**2/17 + 280*b + 600/17 = 0. Calculate b.
-5, -3, -2/5, -1/5, 10
Factor -t**4/4 - 99707*t**3/4 - 3313695663*t**2/4 - 36703596665025*t/4 + 36716853043053.
-(t - 4)*(t + 33237)**3/4
Suppose -2*u**5/9 - 398*u**4/9 - 1308*u**3 + 847952*u**2/9 - 2370112*u/9 - 1076480/3 = 0. Calculate u.
-116, -1, 4, 30
What is i in -2*i**2/9 - 14*i/9 + 120 = 0?
-27, 20
Find a such that 6*a**2/11 + 428*a/11 - 17978/11 = 0.
-101, 89/3
Suppose -5*l**5/2 + 121*l**4 - 81*l**3/2 - 368*l**2 + 386*l - 96 = 0. What is l?
-2, 2/5, 1, 48
Suppose 4*w**2/3 + 420*w - 5104/3 = 0. Calculate w.
-319, 4
Factor 115*f**2 + 214920*f - 28035.
5*(f + 1869)*(23*f - 3)
Find a such that -4*a**4 + 1572*a**3 + 14416*a**2 + 22512*a = 0.
-7, -2, 0, 402
Find q, given that 486*q**3 + 359775*q**2 + 66673212*q + 33246723 = 0.
-3329/9, -1/2
Determine u so that 16*u**3 + 372404*u**2 + 465484*u + 93096 = 0.
-23274, -1, -1/4
Determine m so that m**2/5 + 2708*m/5 - 21728/5 = 0.
-2716, 8
Let 15*j**5 - 17555*j**4 + 93345*j**3 - 169025*j**2 + 116520*j - 23300 = 0. What is j?
1/3, 1, 2, 1165
Let -146*u**3/3 + 780*u**2 - 9262*u/3 + 84 = 0. What is u?
2/73, 7, 9
Factor w**2 - 2112*w - 4228.
(w - 2114)*(w + 2)
Factor -x**2/3 - 1475*x/3 - 158682.
-(x + 477)*(x + 998)/3
What is a in -a**2 - 18530*a + 18531 = 0?
-18531, 1
Let -4*x**4 - 660*x**3 - 24776*x**2 + 202848*x - 177408 = 0. Calculate x.
-88, -84, 1, 6
Factor 2*g**3/7 + 291132*g**2/7 + 10594730178*g/7.
2*g*(g + 72783)**2/7
Let -2*r**5/3 - 146*r**4/3 - 3230*r**3/3 - 5234*r**2 + 36960*r - 30600 = 0. What is r?
-30, -17, 1, 3
Determine c so that c**2/6 - 3355*c/3 + 6709/6 = 0.
1, 6709
Solve t**2/6 - 3257*t + 19536 = 0.
6, 19536
Let 3*u**4/8 - 63*u**3/4 + 165*u**2/2 + 7623*u/4 - 123783/8 = 0. Calculate u.
-11, 11, 31
Determine b so that -b**4/2 + 1265*b**3/6 + 5525*b**2/6 + 1845*b/2 + 213 = 0.
-3, -1, -1/3, 426
Factor 2*o**2/7 + 163614*o/7 - 818120/7.
2*(o - 5)*(o + 81812)/7
Suppose 4*x**3/7 + 2900*x**2/7 - 32384*x/7 = 0. What is x?
-736, 0, 11
Find v, given that 5*v**3 - 3635*v**2 - 97890*v = 0.
-26, 0, 753
Factor -4*g**2 - 1572824*g - 154610958436.
-4*(g + 196603)**2
Solve -t**3/11 - 2219*t**2/11 + 4441*t/11 - 2221/11 = 0.
-2221, 1
Factor v**3/2 - 1035*v**2/2 - 6264*v - 18846.
(v - 1047)*(v + 6)**2/2
Factor -3*j**4/5 + 50808*j**3/5 - 304776*j**2/5 + 609504*j/5 - 81264.
-3*(j - 16930)*(j - 2)**3/5
Factor -12*h**2 + 10988*h + 3664.
-4*(h - 916)*(3*h + 1)
Solve 34*f**3 - 406534*f**2 - 47828*f = 0 for f.
-2/17, 0, 11957
Determine s, given that -8*s**4/7 - 838*s**3/7 - 3838*s**2/7 - 3788*s/7 + 1200/7 = 0.
-100, -3, -2, 1/4
Let 9*x**4/5 + 477844*x**3/5 - 106188*x**2/5 = 0. Calculate x.
-53094, 0, 2/9
Factor 2*t**3/5 - 486*t**2/5 + 10408*t/5 + 22776/5.
2*(t - 219)*(t - 26)*(t + 2)/5
Find g such that -4*g**3 - 207920*g**2 - 2702544052*g - 16207780056 = 0.
-25987, -6
Factor -2*s**3/3 - 134*s**2/3 + 406*s + 450.
-2*(s - 9)*(s + 1)*(s + 75)/3
Factor p**4/6 + 62*p**3 + 175*p**2/3 - 1306*p - 5565/2.
(p - 5)*(p + 3)**2*(p + 371)/6
Let -4*v**5 + 512*v**4 - 10456*v**3 + 47840*v**2 + 129116*v + 70304 = 0. What is v?
-1, 13, 104
Solve -4*u**4 - 864*u**3 - 3252*u**2 + 30280*u + 127200 = 0 for u.
-212, -5, 6
Determine x, given that 22*x**5/15 - 52*x**4/5 - 182*x**3/15 + 52*x**2/5 + 32*x/3 = 0.
-1, -10/11, 0, 1, 8
What is s in -2*s**4/5 - 696*s**3/5 - 55322*s**2/5 + 940476*s/5 + 2096704/5 = 0?
-181, -2, 16
Suppose 39177*i**4 + 82653*i**3 + 47769*i**2 + 4287*i - 6 = 0. What is i?
-1, -1/9, 2/1451
Factor 4*v**3 - 752*v**2 - 19776*v - 122112.
4*(v - 212)*(v + 12)**2
Factor 5*l**4 - 15*l**3 - 990*l**2 - 3400*l.
5*l*(l - 17)*(l + 4)*(l + 10)
Find o, given that 4418*o**4 - 31866*o**3 + 59646*o**2 - 11630*o + 600 = 0.
5/47, 3, 4
Factor 32*n**4 - 2300*n**3 + 10432*n**2 + 1340*n.
4*n*(n - 67)*(n - 5)*(8*n + 1)
Factor -6*p**2/7 + 3996*p/7 + 433770/7.
-6*(p - 761)*(p + 95)/7
Suppose -2*z**4/9 - 33286*z**3/3 - 22190*z**2 - 99854*z/9 = 0. Calculate z.
-49927, -1, 0
Factor 4*a**4 + 1357008*a**3 + 115091919504*a**2.
4*a**2*(a + 169626)**2
Determine d so that -3*d**4 - 9*d**3 + 4821*d**2 - 14355*d + 9546 = 0.
-43, 1, 2, 37
Solve u**5/3 - 160*u**4/3 + 2752*u**3 - 121990*u**2/3 - 777425*u/3 - 332750 = 0 for u.
-3, -2, 55
Find v such that 8*v**5/11 - 502*v**4/11 - 5510*v**3/11 + 58294*v**2/11 + 14910*v/11 = 0.
-15, -1/4, 0, 7, 71
Find i, given that -i**4/2 + 5*i**3/2 + 360*i**2 - 1090*i + 728 = 0.
-26, 1, 2, 28
Let -2*w**5/7 + 4*w**4 - 74*w**3/7 - 24*w**2 + 216*w/7 = 0. What is w?
-2, 0, 1, 6, 9
Factor -g**2/6 - 224*g/3 + 4275/2.
-(g - 27)*(g + 475)/6
Suppose v**5 + 478*v**4 + 58069*v**3 + 226572*v**2 + 224676*v = 0. What is v?
-237, -2, 0
Determine c, given that 7*c**5 - 744*c**4 + 18272*c**3 + 331358*c**2 - 12896775*c + 3657322 = 0.
-23, 2/7, 43
Factor 5*q**3/4 + 8995*q**2/4 + 17975*q/4 + 8985/4.
5*(q + 1)**2*(q + 1797)/4
Find a, given that -a**3/8 + 185471*a**2/8 - 1074972528*a - 1074995712 = 0.
-1, 92736
Factor -321602*w**2 + 16040*w - 200.
-2*(401*w - 10)**2
Find w, given that -w**2 - 317*w - 7566 = 0.
-291, -26
Factor q**2/4 - 4931*q/4 + 2465/2.
(q - 4930)*(q - 1)/4
Factor -90*o**4 + 195*o**3 - 100*o**2 + 15*o.
-5*o*(2*o - 3)*(3*o - 1)**2
Determine k, given that -2*k**5/7 + 38*k**4/7 + 2*k**3/7 - 38*k**2/7 = 0.
-1, 0, 1, 19
Determine k so that 68*k**5/5 + 2364*k**4/5 - 112*k**3 = 0.
-35, 0, 4/17
Solve s**4/3 + 1265*s**3/3 + 51637*s**2 + 4925371*s/3 - 5081548/3 = 0.
-1132, -67, 1
Factor -c**5/3 - 8*c**4/3 - 7*c**3 - 14*c**2/3 + 20*c/3 + 8.
-(c - 1)*(c + 2)**3*(c + 3)/3
Factor d**3 + 79*d**2 + 1528*d + 3900.
(d + 3)*(d + 26)*(d + 50)
Determine p so that 2*p**3 + 7468*p**2 - 29898*p + 22428 = 0.
-3738, 1, 3
Suppose -2*i**5 + 31346*i**4 - 122805790*i**3 - 122837138*i**2 = 0. What is i?
-1, 0, 7837
Let k**4/6 - 53*k**3/6 + 137*k**2/2 + 3253*k/6 + 1394/3 = 0. What is k?
-4, -1, 17, 41
Let -3*a**3 + 360*a**2 + 14463*a - 63420 = 0. Calculate a.
-35, 4, 151
Determine s so that -6*s**3/13 - 4786*s**2/13 + 69892*s/13 + 48720/13 = 0.
-812, -2/3, 15
Factor 5*j**2/6 + 58795*j/3 + 691370405/6.
5*(j + 11759)**2/6
What is t in 810*t**5 - 8145*t**4 + 13000*t**3 + 40155*t**2 + 4680*t - 13520 = 0?
-1, 1/2, 52/9
Let 4*p**5 - 12*p**3 + 8*p**2 = 0. What is p?
-2, 0, 1
Find i, given that 2*i**4/13 + 3056*i**3/13 = 0.
-1528, 0
Suppose -f**3/5 - 241*f**2 + f/5 + 241 = 0. What is f?
-1205, -1, 1
Factor 4*s**2/3 + 64*s - 9796/3.
4*(s - 31)*(s + 79)/3
Suppose -239*v**3/5 - 16*v**2/5 + 239*v/5 + 16/5 = 0. Calculate v.
-1, -16/239, 1
Factor -2*i**2 + 1566616*i - 306785711432.
-2*(i - 391654)**2
Suppose 2*n**3/13 - 1654*n**2/13 + 14724*n/13 = 0. Calculate n.
0, 9, 818
Factor -f**2/2 - 395542*f - 78226736882.
-(f + 395542)**2/2
Find q such that -2*q**2 - 9844*q - 58992 = 0.
-4916, -6
Find z, given that z**3 + 13828*z**2 + 47789565*z - 95634450 = 0.
-6915, 2
Factor -q**4/6 - 128402*q**3/3 - 3663722797*q**2 - 313589023223546*q/3 + 3136439822756135/6.
-(q - 5)*(q + 85603)**3/6
Factor -3*l**2/4 - 723*l/4 + 3705.
-3*(l - 19)*(l + 260)/4
Solve v**2/3 - 15647*v/3 + 119784 = 0.
23, 15624
Factor -u**3 - 132*u**2 + 963*u - 1390.
-(u - 5)*(u - 2)*(u + 139)
Factor 3*q**4 + 14130*q**3 - 42408*q**2 + 42414*q - 14139.
3*(q - 1)**