r c**2 + 5384*c + 10764.
(c + 2)*(c + 5382)
Factor h**2/4 - 9*h/4 - 583.
(h - 53)*(h + 44)/4
Let 4*p**3/3 - 992*p**2/3 + 3308*p + 39816 = 0. What is p?
-7, 18, 237
Suppose o**4/6 - 127*o**3/3 + 21073*o**2/6 - 104648*o + 1018464 = 0. Calculate o.
24, 103
Solve f**2/7 - 764*f - 5349/7 = 0 for f.
-1, 5349
Factor 5*t**3 + 3580830*t**2 + 641117174445*t.
5*t*(t + 358083)**2
Determine r so that 3*r**5/2 - 507*r**4 + 83619*r**3/2 + 175446*r**2 = 0.
-4, 0, 171
Solve -2*y**5/9 + 8*y**4/3 + 578*y**3/9 + 1904*y**2/9 - 760*y/3 - 8000/9 = 0 for y.
-8, -5, -2, 2, 25
Factor -u**4/2 - 17*u**3/2 - 91*u**2/2 - 147*u/2.
-u*(u + 3)*(u + 7)**2/2
Let -18*q**4/5 - 51662*q**3/5 - 36916424*q**2/5 + 218938376*q/5 - 181970272/5 = 0. What is q?
-1438, 1, 44/9
Factor -b**3/5 + 1893*b**2/5 + 758*b.
-b*(b - 1895)*(b + 2)/5
Factor -3*s**5/2 + 381*s**4/2 + 771*s**3/2 + 387*s**2/2.
-3*s**2*(s - 129)*(s + 1)**2/2
Factor 154*v**3/15 + 15196*v**2/5 + 224960*v + 87616/15.
2*(v + 148)**2*(77*v + 2)/15
Factor -4*k**3 + 14044*k**2 - 42096*k.
-4*k*(k - 3508)*(k - 3)
Factor 3*i**4 - 7158*i**3 + 4276899*i**2 - 8532336*i + 4262592.
3*(i - 1192)**2*(i - 1)**2
Solve 14*s**5 - 648*s**4 - 3358*s**3 - 528*s**2 + 6152*s - 1632 = 0 for s.
-4, -2, 2/7, 1, 51
Factor -4*i**3 - 996*i**2 - 57512*i + 119040.
-4*(i - 2)*(i + 96)*(i + 155)
Let -f**4/4 - 38*f**3 + 1783*f**2/4 - 815*f/2 = 0. What is f?
-163, 0, 1, 10
Suppose -2*v**5/7 - 250*v**4/7 - 1902*v**3/7 - 3494*v**2/7 + 272*v + 3744/7 = 0. Calculate v.
-117, -4, -1, 1
Find q such that -3*q**4/4 - 237*q**3/4 - 6045*q**2/4 - 49011*q/4 = 0.
-31, -17, 0
Factor x**4/4 - 21*x**3/2 + 117*x**2 + 154*x - 5880.
(x - 20)*(x - 14)**2*(x + 6)/4
Factor -t**3/7 - 38490*t**2/7 + 192471*t/7 - 153980/7.
-(t - 4)*(t - 1)*(t + 38495)/7
Let -15*t**4 + 117*t**3 + 669*t**2 - 1521*t - 330 = 0. Calculate t.
-5, -1/5, 2, 11
What is k in k**3/11 + 956*k**2/11 - 6033*k + 101178 = 0?
-1022, 33
Suppose 2*k**2/5 - 6596*k/5 + 26352/5 = 0. Calculate k.
4, 3294
Factor -x**2/11 - 175*x/11 - 5400/11.
-(x + 40)*(x + 135)/11
Solve 12*c**5 - 13180*c**4 + 238636*c**3 - 1119060*c**2 + 193752*c + 699840 = 0.
-2/3, 1, 9, 1080
What is g in 45*g**4 + 50*g**3 - 660*g**2 - 450*g + 2295 = 0?
-3, 17/9, 3
Factor -5*m**3/4 + 1425*m**2/4.
-5*m**2*(m - 285)/4
Factor -2*w**2 - 53038*w + 53040.
-2*(w - 1)*(w + 26520)
Find q such that -2*q**2/5 - 3406*q = 0.
-8515, 0
Let u**4 + 23*u**3 + 51*u**2 - 175*u + 100 = 0. Calculate u.
-20, -5, 1
Factor -5*b**4 - 33480*b**3 - 56279390*b**2 - 782996760*b - 2734758845.
-5*(b + 7)**2*(b + 3341)**2
Solve -2*a**4/5 - 432*a**3/5 + 6800*a**2 - 130752*a/5 + 128992/5 = 0.
-278, 2, 58
Factor -287812845*n**2 - 151740*n - 20.
-5*(7587*n + 2)**2
Factor 4*l**2 - 4332*l + 12960.
4*(l - 1080)*(l - 3)
What is f in -18*f**2 - 5979*f - 133128 = 0?
-1849/6, -24
Solve 3*j**3/8 - 818319*j**2/8 - 409164*j - 818331/2 = 0 for j.
-2, 272777
Let -v**5/4 - 149*v**4/4 - 3583*v**3/4 + 145633*v**2/4 - 259204*v + 223729 = 0. What is v?
-86, 1, 11
Factor -5*d**3 + 3860*d**2 + 39055*d + 35190.
-5*(d - 782)*(d + 1)*(d + 9)
Suppose -6*s**2 + 842*s + 848 = 0. What is s?
-1, 424/3
Let -2*r**2 - 53024*r = 0. What is r?
-26512, 0
Determine t, given that 2*t**2 - 592*t + 41216 = 0.
112, 184
Factor q**4 - 208*q**3 - 13419*q**2 - 26210*q - 13000.
(q - 260)*(q + 1)**2*(q + 50)
Suppose -62*m**4/13 + 4218*m**3/13 - 33182*m**2/13 - 1458042*m/13 + 47068/13 = 0. What is m?
-14, 1/31, 41
Factor 4*k**4/5 + 25696*k**3/5 + 40042392*k**2/5 - 3935933408*k/5 + 93847871716/5.
4*(k - 47)**2*(k + 3259)**2/5
Factor x**2/3 + 25682*x/3 + 164891281/3.
(x + 12841)**2/3
Factor 2*x**3/9 + 532*x**2/3 + 6352*x/9.
2*x*(x + 4)*(x + 794)/9
Factor -i**4/4 - 918293*i**3 - 1686525904283*i**2/2 - 1686523149405*i - 3373044462225/4.
-(i + 1)**2*(i + 1836585)**2/4
Suppose 4*h**2/5 + 4362104*h/5 + 1189246956676/5 = 0. Calculate h.
-545263
Factor 2*j**2/9 + 1330186*j/9.
2*j*(j + 665093)/9
Suppose -2*k**2 - 258798*k - 258796 = 0. Calculate k.
-129398, -1
Factor b**3/5 - 681944*b**2/5 + 116261904784*b/5.
b*(b - 340972)**2/5
Find v such that 3*v**4 - 42*v**3 - 348*v**2 + 2088*v + 5184 = 0.
-8, -2, 6, 18
Determine w so that 4*w**4 - 1552*w**3 - 419440*w**2 - 22434944*w = 0.
-98, 0, 584
Suppose -5*f**4 + 765*f**3 - 18910*f**2 = 0. What is f?
0, 31, 122
Find b such that -4*b**3 - 820*b**2 - 7088*b - 6272 = 0.
-196, -8, -1
Find m, given that -20*m**5/7 + 14538*m**4/7 + 37930*m**3/7 + 2970*m**2/7 - 37910*m/7 - 17508/7 = 0.
-2, -1, -3/5, 1, 1459/2
Factor 3*j**3/7 - 390*j**2/7 - 8892*j/7 - 16200/7.
3*(j - 150)*(j + 2)*(j + 18)/7
Factor -l**2/4 + 303*l - 91809.
-(l - 606)**2/4
Factor -4*u**2 - 8764*u + 17544.
-4*(u - 2)*(u + 2193)
Find x, given that -2*x**3/5 + 692*x**2/5 + 31818*x/5 - 32508/5 = 0.
-42, 1, 387
Let 9*b**5/2 - 7125*b**4/2 + 1401807*b**3/2 + 3309777*b**2/2 + 4764*b - 945654 = 0. What is b?
-2, -1, 2/3, 397
Factor -4*c**2 + 59304*c - 59300.
-4*(c - 14825)*(c - 1)
Factor 242*o**2 - 312004*o + 100564562.
2*(11*o - 7091)**2
Find u, given that 2*u**3 + 184606*u**2 + 4259829600*u - 4260014208 = 0.
-46152, 1
Find w, given that w**4/8 + 43*w**3/8 - 53*w**2/4 - 86*w + 180 = 0.
-45, -4, 2, 4
Let 4*c**3 + 224*c**2 - 11952*c + 119232 = 0. What is c?
-92, 18
Find a, given that 4*a**4/9 + 110*a**3/9 + 776*a**2/9 + 202*a/9 - 364/3 = 0.
-14, -13, -3/2, 1
Suppose d**3/10 + 311*d**2/2 + 304956*d/5 + 2096766/5 = 0. Calculate d.
-774, -7
Find a, given that 2*a**4/7 + 7016*a**3/7 + 7218824*a**2/7 + 267057024*a + 20284153344 = 0.
-1586, -168
Let 2*h**2 - 9226*h + 27660 = 0. What is h?
3, 4610
Factor 2*k**2/3 - 3240*k - 165818/3.
2*(k - 4877)*(k + 17)/3
Factor -2*y**3/5 + 28*y**2/5 - 18*y/5 - 72.
-2*(y - 12)*(y - 5)*(y + 3)/5
Factor 4*b**3 - 149504*b**2 - 149508*b.
4*b*(b - 37377)*(b + 1)
Suppose l**4/3 + 862*l**3/3 + 45887*l**2 - 20731100*l/3 + 578402500/3 = 0. What is l?
-481, 50
Find f, given that 590*f**3 - 30105*f**2 - 29915*f + 780 = 0.
-1, 3/118, 52
Factor 4*t**3 - 4612*t**2 - 32512*t + 37120.
4*(t - 1160)*(t - 1)*(t + 8)
Solve -116*y**3 + 472572*y**2 + 48888*y = 0.
-3/29, 0, 4074
Suppose -22*m**3/7 - 7974*m**2 - 177392*m/7 - 4344 = 0. Calculate m.
-2534, -3, -2/11
Determine c so that 2*c**5/3 - 10*c**4/7 - 122*c**3/21 + 46*c**2/21 + 36*c/7 - 16/21 = 0.
-2, -1, 1/7, 1, 4
Determine x, given that 2*x**5/15 - 248*x**4/15 - 698*x**3/5 - 804*x**2/5 + 1584*x/5 = 0.
-6, -3, 0, 1, 132
Factor u**4/5 - 59*u**3/5 + 1104*u**2/5 - 6336*u/5.
u*(u - 24)**2*(u - 11)/5
Factor -b**3 - 1111*b**2 + 5576*b - 4464.
-(b - 4)*(b - 1)*(b + 1116)
Find s such that -15*s**3 + 393790*s**2 + 1575220*s/3 + 525080/3 = 0.
-2/3, 26254
Factor -3*u**3/4 - 6309*u**2/4 - 112833*u/4 - 506655/4.
-3*(u + 9)**2*(u + 2085)/4
Factor 3*f**2 + 64563*f.
3*f*(f + 21521)
Let 9*i**5 - 195*i**4 + 495*i**3 + 195*i**2 - 504*i = 0. Calculate i.
-1, 0, 1, 3, 56/3
Determine v so that 2*v**4 - 20450*v**3 - 81834*v**2 + 20450*v + 81832 = 0.
-4, -1, 1, 10229
Determine i, given that -4*i**2 - 2315308*i + 2315312 = 0.
-578828, 1
Solve -3*c**3 - 10104*c**2 + 20244*c + 80880 = 0.
-3370, -2, 4
Factor -2*b**2/5 - 9328*b/5 - 10876448/5.
-2*(b + 2332)**2/5
Determine v, given that -5*v**3 + 58280*v**2 + 1342975*v + 1284690 = 0.
-22, -1, 11679
Suppose -b**3/2 + 1590*b**2 - 19053*b/2 + 14283 = 0. What is b?
3, 3174
Factor -654*d**2/13 + 20932*d/13 - 128/13.
-2*(d - 32)*(327*d - 2)/13
Determine d so that 5*d**2/4 + 1765*d/2 + 8700 = 0.
-696, -10
Let 2*y**2/23 - 55832*y/23 + 446528/23 = 0. What is y?
8, 27908
Suppose 8*d**3 - 1878*d**2 - 6182*d - 1428 = 0. Calculate d.
-3, -1/4, 238
Let q**3/3 + 425*q**2/3 - 4838*q/3 - 6104 = 0. Calculate q.
-436, -3, 14
Determine o, given that 4*o**5/7 - 1488*o**4/7 - 82716*o**3/7 + 84200*o**2/7 = 0.
-50, 0, 1, 421
Find s such that -5*s**4 - 970*s**3 + 1955*s**2 - 980*s = 0.
-196, 0, 1
Let 38*x**2 + 5294*x + 1668 = 0. Calculate x.
-139, -6/19
Determine s, given that -11*s**5/3 + 458*s**4/3 - 2692*s**3/3 + 4834*s**2/3 - 443*s - 420 = 0.
-4/11, 1, 3, 35
What is v in -5*v**4 + 1270*v**3 - 79320*v**2 + 1529600*v - 2752000 = 0?
2, 40, 172
Suppose 4*i**4/7 - 17744*i**3/7 = 0. What is i?
0, 4436
Let -i**3 - 275*i**2 + 2297*i + 9339 = 0. Calculate i.
-283, -3, 11
Solve -2*c**3/15 + 5366*c**2/15 - 21392*c/5 + 64104/5 = 0 for c.
6, 2671
Solve 2*f**3/5 - 34618*f**2/5 + 29887318*f + 630690690 = 0