.
14, 11317
Factor 3*j**3/5 - 552*j**2/5 - 14544*j/5 - 89856/5.
3*(j - 208)*(j + 12)**2/5
Factor -2*s**2/3 - 3968*s - 5904384.
-2*(s + 2976)**2/3
Suppose -2*n**3/9 - 1354*n**2/3 + 16274*n/9 - 4070/3 = 0. Calculate n.
-2035, 1, 3
Determine w, given that -5*w**2 - 274120*w - 3757088720 = 0.
-27412
Factor m**2/6 - 470*m/3.
m*(m - 940)/6
Factor -2*s**3 + 137*s**2/3 + 56*s.
-s*(s - 24)*(6*s + 7)/3
Solve 3*r**4 + 1041*r**3 + 86175*r**2 + 169239*r + 84102 = 0 for r.
-214, -131, -1
Determine y so that -y**5 - 16*y**4 + 57*y**3 - 4*y**2 - 76*y = 0.
-19, -1, 0, 2
Find b, given that 55*b**3 + 60*b**2 - 495*b - 540 = 0.
-3, -12/11, 3
Factor -3*d**4/7 + 5730*d**3 - 134147871*d**2/7 + 76587180*d - 535949868/7.
-3*(d - 6683)**2*(d - 2)**2/7
Determine t, given that -16*t**5 + 1368*t**4 - 37113*t**3 + 324761*t**2 = 0.
0, 89/4, 41
Factor v**2 + 454*v - 18696.
(v - 38)*(v + 492)
Factor -4*v**3 - 12496*v**2 + 4*v + 12496.
-4*(v - 1)*(v + 1)*(v + 3124)
What is x in -5*x**5 + 189170*x**4 - 1789642710*x**3 + 7154976960*x**2 + 5370063075*x - 32199950250 = 0?
-2, 3, 18915
Factor m**5/2 - 23*m**4/2 + 63*m**3/2 - 61*m**2/2 + 10*m.
m*(m - 20)*(m - 1)**3/2
Let 2*f**5/5 + 34*f**4/5 + 164*f**3/5 + 48*f**2 = 0. What is f?
-10, -4, -3, 0
Factor 36*h**4 - 2028*h**3 - 20387*h**2 + 6964*h - 585.
(h - 65)*(h + 9)*(6*h - 1)**2
Let 49*s**5/3 + 9527*s**4/9 + 49519*s**3/3 - 188987*s**2/9 + 8800*s/3 + 484 = 0. What is s?
-33, -2/21, 2/7, 1
Determine k so that k**2 - 6157*k - 12318 = 0.
-2, 6159
Let 5*z**5/2 + 4840*z**4 + 86510*z**3 + 383555*z**2 - 173025*z/2 - 388395 = 0. Calculate z.
-1918, -9, -1, 1
Let -s**4/3 - 997*s**3/3 - 115605*s**2 - 15578325*s - 541768500 = 0. Calculate s.
-315, -52
Determine l so that 2*l**3/7 + 29252*l**2/7 - 585640*l/7 + 2929200/7 = 0.
-14646, 10
Find o, given that -3*o**5/2 - 2457*o**4/2 - 7269*o**3/2 + 61137*o**2/2 - 25704*o = 0.
-816, -7, 0, 1, 3
Factor 14259*d**3 + 142592*d**2 + 356495*d + 50.
(d + 5)**2*(14259*d + 2)
Factor 2*w**2/7 + 236*w + 339786/7.
2*(w + 387)*(w + 439)/7
Suppose 2*y**3/9 + 580*y**2/9 + 6226*y + 200376 = 0. Calculate y.
-99, -92
Solve -l**4 + 1115*l**3 - 24951*l**2 - 179919*l - 285012 = 0 for l.
-3, 29, 1092
Let -r**4 - 2*r**3 + 20*r**2 - 24*r = 0. Calculate r.
-6, 0, 2
Factor 2*f**3 + 2316*f**2 + 9240*f + 9232.
2*(f + 2)**2*(f + 1154)
Find k such that -k**4/2 - 131*k**3/2 + 94*k**2 + 3696*k = 0.
-132, -7, 0, 8
Factor 4*s**3/7 - 8198*s**2/7 - 65776*s/7 - 131680/7.
2*(s + 4)**2*(2*s - 4115)/7
Find i such that 2*i**2 - 2208*i - 395954 = 0.
-157, 1261
Find j, given that -2*j**5/5 + 8*j**4 - 234*j**3/5 + 28*j**2 + 1568*j/5 = 0.
-2, 0, 7, 8
Solve 1317*v**5/7 - 8335*v**4/7 + 4352*v**3/7 + 28116*v**2/7 + 14176*v/7 + 64/7 = 0.
-1, -2/3, -2/439, 4
Factor -5*s**2 + 2340*s.
-5*s*(s - 468)
Factor -g**2/6 - 3245*g/6 + 1624.
-(g - 3)*(g + 3248)/6
Factor 68*z**3 - 2396*z**2 - 37792*z + 9024.
4*(z - 47)*(z + 12)*(17*z - 4)
Factor 8*s**3 + 4425*s**2 + 614376*s + 685584.
(s + 276)**2*(8*s + 9)
Factor 5*g**2 - 3310*g + 426125.
5*(g - 487)*(g - 175)
Factor 2*c**5/9 + 128*c**4/9 + 1634*c**3/9 - 13036*c**2/9 + 28280*c/9 - 19600/9.
2*(c - 2)**3*(c + 35)**2/9
Determine g, given that -5*g**3/3 - 245*g**2/3 + 245*g/3 + 12005/3 = 0.
-49, -7, 7
Determine q, given that -5*q**4 + 290*q**3 - 1980*q**2 - 1160*q + 8000 = 0.
-2, 2, 8, 50
Suppose -9*r**3 + 381*r**2 + 570*r - 7800 = 0. Calculate r.
-5, 4, 130/3
Suppose 75*g**4 + 8395*g**3 + 23955*g**2 - 2755*g - 3270 = 0. Calculate g.
-109, -3, -1/3, 2/5
Factor -3*v**4/8 - 597*v**3 + 125697*v**2/8 - 410163*v/4.
-3*v*(v - 13)**2*(v + 1618)/8
Suppose -3*o**4 - 739752*o**3/5 - 9120106494*o**2/5 + 10945045104*o/5 - 1824198843/5 = 0. Calculate o.
-24659, 1/5, 1
Factor 4*r**4 - 908*r**3 + 53740*r**2 - 249972*r + 197136.
4*(r - 111)**2*(r - 4)*(r - 1)
Determine p, given that -2*p**5/5 - 312*p**4/5 - 14452*p**3/5 - 264992*p**2/5 - 349170*p - 299000 = 0.
-92, -25, -13, -1
What is m in -m**2 + 14638*m - 29272 = 0?
2, 14636
Solve 5*g**4 - 65*g**3 - 1715*g**2 + 5525*g - 3750 = 0.
-15, 1, 2, 25
Suppose -a**2/2 - 17504*a - 153195008 = 0. What is a?
-17504
Factor -2*u**4 + 1246*u**3 - 7390*u**2 - 8638*u.
-2*u*(u - 617)*(u - 7)*(u + 1)
Solve 3*d**5 + 48*d**4 + 39*d**3 - 738*d**2 - 1512*d = 0.
-14, -3, 0, 4
Suppose -34*j**2/5 - 664*j/5 + 64 = 0. What is j?
-20, 8/17
Find o, given that -4*o**5 - 1564*o**4 + 15948*o**3 - 36836*o**2 + 22456*o = 0.
-401, 0, 1, 2, 7
Solve -j**2/9 - 1573*j/3 - 1572 = 0.
-4716, -3
Solve 5*b**4 - 1254375*b**3 + 3763095*b**2 - 3763085*b + 1254360 = 0.
1, 250872
Let -2*g**5 + 1064*g**4 + 7546*g**3 = 0. Calculate g.
-7, 0, 539
Suppose -5*r**3 + 8220*r**2 + 132480*r + 531200 = 0. Calculate r.
-8, 1660
Solve 3*s**3 + 420*s**2 + 5019*s + 8382 = 0.
-127, -11, -2
Factor -121*z**3 - 6407*z**2 - 5974*z + 312.
-(z + 1)*(z + 52)*(121*z - 6)
Suppose y**2 + 362*y + 12312 = 0. Calculate y.
-324, -38
Suppose -911*o**2/3 - 299*o + 14/3 = 0. Calculate o.
-1, 14/911
Factor -d**3 - 62*d**2 + 471*d - 828.
-(d - 4)*(d - 3)*(d + 69)
Determine y so that -4*y**4/7 + 368*y**3/7 - 10872*y**2/7 + 90288*y/7 + 378972/7 = 0.
-3, 29, 33
Find l, given that -5*l**2 + 7210*l + 21675 = 0.
-3, 1445
Factor -n**3/4 + 28979*n**2/4 - 14489*n/2.
-n*(n - 28978)*(n - 1)/4
Factor a**3/5 - 68*a**2/5 + 197*a/5 - 26.
(a - 65)*(a - 2)*(a - 1)/5
Suppose 3*f**4 - 63*f**3 - 14949*f**2 + 30075*f - 15066 = 0. Calculate f.
-62, 1, 81
Factor -z**4 - 1227*z**3 - 500610*z**2 - 67408100*z + 206763000.
-(z - 3)*(z + 410)**3
What is c in 330*c**5/7 - 4336*c**4/7 - 20856*c**3/7 + 176292*c**2/7 - 23890*c/7 - 300 = 0?
-7, -2/33, 1/5, 5, 15
Factor -3*r**3 - 150*r**2 + 1623*r + 1770.
-3*(r - 10)*(r + 1)*(r + 59)
Suppose -5*y**3 - 325*y**2 - 2030*y = 0. Calculate y.
-58, -7, 0
Solve -2*g**3 - 1000*g**2 + 15362*g - 45320 = 0 for g.
-515, 4, 11
Solve -2*l**4/9 + 142*l**3/9 - 532*l**2/3 = 0 for l.
0, 14, 57
Factor r**2 + 216480*r + 11715897600.
(r + 108240)**2
Factor -1250*l**4 - 341125*l**3 - 612675*l**2/2 - 367335*l/4 - 9180.
-5*(l + 272)*(10*l + 3)**3/4
Let 125*t**3 + 1951525*t**2 - 1561280*t + 312260 = 0. Calculate t.
-15613, 2/5
Solve -4*s**2 - 3092*s + 44072 = 0 for s.
-787, 14
Determine x so that 4*x**2 - 144*x + 896 = 0.
8, 28
Find a such that a**5/3 + 377*a**4/3 - 253*a**3 - 377*a**2/3 + 758*a/3 = 0.
-379, -1, 0, 1, 2
Find z such that -320*z**2 + 1715*z + 1230 = 0.
-41/64, 6
Suppose -2*f**2 + 139742*f = 0. Calculate f.
0, 69871
Let 2*c**2/3 + 7706*c/3 + 91608 = 0. Calculate c.
-3817, -36
Let 2*u**3 - 302*u**2 - 2900*u + 3200 = 0. What is u?
-10, 1, 160
What is i in -4*i**5 - 2*i**4 + 24*i**3 + 2*i**2 - 20*i = 0?
-5/2, -1, 0, 1, 2
Solve -j**4/3 + 115183*j**3/3 - 3316723280*j**2/3 - 3316838464*j/3 = 0 for j.
-1, 0, 57592
Factor -3*a**4/8 + 8649*a**3/8 - 381105*a**2/4 + 5676075*a/2 - 28279125.
-3*(a - 2793)*(a - 30)**3/8
Factor 3*h**3/4 - 687*h**2/4 + 1491*h - 1320.
3*(h - 220)*(h - 8)*(h - 1)/4
Determine k, given that -4*k**4 + 656*k**3 + 664*k**2 - 656*k - 660 = 0.
-1, 1, 165
Factor z**2/3 + 6068*z + 72800/3.
(z + 4)*(z + 18200)/3
Factor -3*h**2 - 176508*h - 2596256172.
-3*(h + 29418)**2
Determine t, given that t**5/5 - 897*t**4/5 - 4507*t**3/5 - 543*t**2 + 8118*t/5 = 0.
-3, 0, 1, 902
Find w such that -8*w**5 - 1886*w**4 + 2368*w**3 - 474*w**2 = 0.
-237, 0, 1/4, 1
Suppose -m**2/2 + 71853*m/2 = 0. Calculate m.
0, 71853
Determine v so that 10*v**4/13 + 834*v**3/13 - 8746*v**2/13 + 1302*v = 0.
-93, 0, 13/5, 7
Factor j**4/7 + 113*j**3/7 + 1122*j**2/7.
j**2*(j + 11)*(j + 102)/7
Suppose -w**5 - 525*w**4 - 69678*w**3 - 199638*w**2 + 627183*w + 1839267 = 0. Calculate w.
-261, -3, 3
Determine x so that 2738*x**5/5 + 65786*x**4/5 - 239808*x**3 + 852480*x**2 = 0.
-37, 0, 240/37
Suppose -g**3/5 + 78799*g**2/5 = 0. What is g?
0, 78799
Factor -38*b**3 - 33520*b**2 - 7393806*b - 777924.
-2*(b + 441)**2*(19*b + 2)
Factor 4*k**4 - 252*k**3 - 1343*k**2 - 1152*k - 272.
(k - 68)*(k + 4)*(2*k + 1)**2
Factor -59383202*p**3 - 9026290296*p**2 - 6625992*p - 1216.
-2*(p + 152)*(5449*p + 2)**2
Suppose -2*d**2 - 44260*d - 244868450 = 0. Calculate d.
-11065
Solve -n**2/5 - 838*n/5 - 42336/5 = 0 for n.
-784, -54
Factor 2*x**3/9 - 4868*x**2/9 - 19688*x - 177840.
2*(x - 2470)*(x + 18)**2/9
Suppose 2*y**2 + 103583*y + 51791 = 0. Calculate y.
-51791, -1/2
Factor 2*m**3 - 63278*m**2 - 632930*m - 1