665/2, 63
Factor 65*k**2 - 15084300*k + 2320660.
5*(k - 232066)*(13*k - 2)
Find b, given that -3*b**4 + 45*b**3 + 17817*b**2 - 638865*b + 1206150 = 0.
-85, 2, 43, 55
Solve -6348*q**4 - 3628572*q**3 - 514174167*q**2 + 1245152370*q - 747498675 = 0.
-287, 55/46
Suppose 5*w**3 + 7811*w**2 + 529016*w - 536832 = 0. What is w?
-7456/5, -72, 1
Find t, given that -t**2/4 + 2708842*t - 7337824980964 = 0.
5417684
Solve 3*l**4 + 6918*l**3 + 526347*l**2 + 11145288*l + 36601584 = 0.
-2228, -37, -4
Suppose -3*i**2 - 14175*i + 20289828 = 0. What is i?
-5876, 1151
Find o, given that 4*o**2/7 - 14492500*o - 101447504/7 = 0.
-1, 25361876
Factor -5*g**4 + 55400*g**3 - 146318840*g**2 - 39550946400*g - 2548380275280.
-5*(g - 5666)**2*(g + 126)**2
Determine s so that -2*s**5/19 - 104750*s**4/19 + 838086*s**3/19 - 2200042*s**2/19 + 2304836*s/19 - 44112 = 0.
-52383, 1, 2, 4
Solve 7*v**2 + 359*v/2 + 345/2 = 0.
-345/14, -1
Suppose -2*y**2/11 + 2388*y/11 - 14688 = 0. Calculate y.
72, 1122
What is z in 3*z**3 + 892035*z**2 + 4460100*z = 0?
-297340, -5, 0
What is n in 3*n**5 + 6735*n**4 + 2982798*n**3 - 932027202*n**2 + 7308224271*n - 13617509805 = 0?
-1227, 3, 5, 201
Find a such that 15*a**2 + 63026694*a - 25210680 = 0.
-4201780, 2/5
Suppose h**4 + 7885*h**3 + 55158*h**2 + 94536*h = 0. What is h?
-7878, -4, -3, 0
What is o in 4*o**5 + 27772*o**4 + 43533480*o**3 - 16593775432*o**2 - 43533484*o + 16593747660 = 0?
-3629, -1, 1, 315
Solve g**3/3 - 8368*g**2/3 + 125321*g/3 - 217178/3 = 0 for g.
2, 13, 8353
Solve 3*a**4/7 - 24273*a**3/7 - 4213110*a**2/7 = 0.
-170, 0, 8261
Factor z**4 + 87913670*z**3.
z**3*(z + 87913670)
Let -2*s**4 + 1196*s**3 + 555062*s**2 + 551464*s - 1107720 = 0. What is s?
-306, -2, 1, 905
Factor -j**2 + 3080*j - 500176.
-(j - 2908)*(j - 172)
Solve 3*b**2/4 + 9123*b + 546705/4 = 0.
-12149, -15
Find k, given that 5*k**2/3 + 41135850*k + 253823723283375 = 0.
-12340755
Let 4*a**5 - 1328*a**4 + 93276*a**3 - 1993952*a**2 + 7319440*a + 9408000 = 0. What is a?
-1, 6, 32, 50, 245
Find t such that -t**3/4 - 753*t**2 - 35747*t/4 + 189750 = 0.
-3000, -23, 11
Factor -v**2 - 2227838*v - 11139165.
-(v + 5)*(v + 2227833)
Solve -18026*b**4 - 180257*b**3/2 - 288401*b**2/2 - 72092*b + 6 = 0.
-2, -1, 3/36052
Factor -12*y**2 + 31701693*y + 7925424.
-3*(y - 2641808)*(4*y + 1)
Find g, given that -4223*g**3/2 - 17039807*g**2/6 - 1345*g/3 = 0.
-1345, -2/12669, 0
Let -2*i**2/3 + 19732*i + 15104606/3 = 0. What is i?
-253, 29851
Suppose 5*n**3 - 20368690*n**2 + 20368685*n = 0. What is n?
0, 1, 4073737
Let -3*y**4/8 - 19412499*y**3/4 - 15701879892708*y**2 + 19412499*y/4 + 125615039141667/8 = 0. Calculate y.
-6470833, -1, 1
Suppose 2*t**5/3 - 539608*t**4/3 + 36401955356*t**3/3 - 218368025832*t**2 + 982590558246*t = 0. Calculate t.
0, 9, 134893
Find w such that 734*w**4 + 6007052*w**3 - 32736*w**2 = 0.
-8184, 0, 2/367
Find s such that -5*s**4 + 38380*s**3 - 2402550*s**2 + 33899580*s + 124358355 = 0.
-3, 33, 7613
Solve -2*k**2/3 - 1992882*k - 77722060/3 = 0 for k.
-2989310, -13
Let 68*p**2/9 - 23188292*p/3 + 69564808/9 = 0. What is p?
1, 17391202/17
Factor 5*c**2 - 220910*c - 662775.
5*(c - 44185)*(c + 3)
Factor r**2 + 343568484*r + 29509825799514564.
(r + 171784242)**2
Factor -w**2/7 + 13670152*w/7 - 41010447/7.
-(w - 13670149)*(w - 3)/7
Factor -4*a**4 + 91192*a**3 - 540911956*a**2 + 241238769648*a - 27992437660944.
-4*(a - 11162)**2*(a - 237)**2
Let -h**2 - 5816803*h/4 + 1454201/4 = 0. Calculate h.
-1454201, 1/4
Factor -v**4 - 38855*v**3 + 77717*v**2 + 116571*v.
-v*(v - 3)*(v + 1)*(v + 38857)
Suppose -a**3 + 10130*a**2 - 32704672*a + 32724307872 = 0. Calculate a.
1962, 4084
Find q, given that 255*q**2 - 33955*q - 28810 = 0.
-43/51, 134
What is b in 5*b**4/4 + 467*b**3/4 - 2303*b**2/4 - 4607*b/4 + 9555/2 = 0?
-98, -3, 13/5, 5
Factor 4*k**2 - 38989152*k.
4*k*(k - 9747288)
Suppose -2325625*s**3/2 - 68422219225*s**2/2 - 89734052*s - 58842 = 0. Calculate s.
-29421, -2/1525
Suppose -5547*j**5/4 - 3957591*j**4/2 - 2831507211*j**3/4 - 1409822766*j**2 - 703923372*j = 0. Calculate j.
-30636/43, -1, 0
Find i such that -160*i**5 - 124962*i**4 + 6372998*i**3 + 6579042*i**2 + 81242*i = 0.
-829, -1, -1/80, 0, 49
Factor 2*w**3 + 4108*w**2 + 224462*w + 1370628.
2*(w + 7)*(w + 49)*(w + 1998)
Suppose -5*t**2/4 + 38273*t/2 - 168377/4 = 0. What is t?
11/5, 15307
Solve -3*k**5/8 - 13665*k**4/8 - 10622349*k**3/4 - 1498665390*k**2 - 139225657200*k + 284467248000 = 0 for k.
-1480, -117, 2
Factor 3*p**2 - 4455*p + 1642200.
3*(p - 805)*(p - 680)
Factor -r**2/7 - 2631*r/7 + 2368060/7.
-(r - 709)*(r + 3340)/7
Factor u**3 - 6828*u**2 + 995171*u.
u*(u - 6679)*(u - 149)
Factor b**4/2 - 7197*b**3/2 - 21597*b**2/2 - 21599*b/2 - 3600.
(b - 7200)*(b + 1)**3/2
What is n in n**4/3 - 53095*n**3/3 - n**2/3 + 53095*n/3 = 0?
-1, 0, 1, 53095
Factor 5*u**3 + 98770*u**2 + 5416655*u - 11228430.
5*(u - 2)*(u + 57)*(u + 19699)
Determine h so that -3*h**2 + 14033241*h - 28066470 = 0.
2, 4677745
Let 4*r**2/5 - 150036*r/5 - 4216688 = 0. What is r?
-140, 37649
Find i such that i**2/5 + 66451*i/5 - 199362/5 = 0.
-66454, 3
Factor 1405498*d**2/9 + 2810992*d/9 - 8/9.
2*(d + 2)*(702749*d - 2)/9
Factor 3*r**2/8 + 21585531*r/2.
3*r*(r + 28780708)/8
Suppose -21*u**4/2 + 1578*u**3 - 51531*u**2/2 - 250752*u + 73710 = 0. Calculate u.
-7, 2/7, 27, 130
What is m in m**3 - 285269*m**2 + 20329901280*m + 2097007343388 = 0?
-103, 142686
Factor 4*y**3 + 24752*y**2 - 5985308*y - 6010056.
4*(y - 234)*(y + 1)*(y + 6421)
Factor -c**2/4 - 197103700*c - 38849868553690000.
-(c + 394207400)**2/4
Factor -8374*x**2 + 192787*x - 4255.
-(x - 23)*(8374*x - 185)
Determine y so that -5*y**4 - 10615*y**3 - 2917505*y**2 + 20837535*y - 29920050 = 0.
-1797, -333, 2, 5
Suppose 20*s**4 - 28788*s**3 - 1241708*s**2 + 14096868*s - 5438232 = 0. Calculate s.
-51, 2/5, 9, 1481
Find c, given that 4*c**3 - 23420*c**2 - 164208*c + 422064 = 0.
-9, 2, 5862
Solve -i**5/5 + 292192*i**4/5 - 21348131393*i**3/5 + 119508223390*i**2 - 1643190813948*i/5 + 213399507240 = 0 for i.
1, 2, 25, 146082
Solve 265*a**5 - 44860*a**4 + 2797750*a**3 - 76662640*a**2 + 809202145*a - 917812660 = 0 for a.
68/53, 31, 53
Suppose x**3 + 14971681*x**2 = 0. What is x?
-14971681, 0
Find b such that -3*b**2 + 1375398*b + 28884681 = 0.
-21, 458487
Factor 4*c**3 + 49783*c**2 - 211665*c - 186750.
(c - 5)*(c + 12450)*(4*c + 3)
Suppose 2*y**5/9 + 172*y**4 + 104782*y**3/9 + 1699276*y**2/9 - 1951528*y/3 + 4048976/9 = 0. Calculate y.
-701, -38, 1, 2
Factor -5*v**2 - 2750180*v + 5500380.
-5*(v - 2)*(v + 550038)
Factor -3*g**3 + 23976*g**2 + 119973*g - 143946.
-3*(g - 7997)*(g - 1)*(g + 6)
Determine x so that -2*x**5/15 - 1372*x**4/5 + 743420*x**3/3 - 12251088*x**2/5 - 3717098*x/15 + 2450492 = 0.
-2739, -1, 1, 10, 671
Find b, given that b**2 - 3798232*b + 3606641581456 = 0.
1899116
Find o such that -196*o**5/3 + 60928*o**4/3 - 1000340*o**3 + 32428000*o**2/3 + 244904000*o/3 = 0.
-5, 0, 220/7, 253
Factor -5*a**2 + 112965*a + 1808720.
-5*(a - 22609)*(a + 16)
Determine j so that 4*j**5 + 2864*j**4 - 198936*j**3 + 579584*j**2 - 573836*j + 190320 = 0.
-780, 1, 61
Determine w so that 5*w**5/6 + 33979*w**4/3 + 244591*w**3/6 + 47555*w**2/3 - 13588*w = 0.
-13588, -3, -1, 0, 2/5
Determine r, given that -2*r**4/15 - 3855362*r**3/15 - 3855356*r**2/5 = 0.
-1927678, -3, 0
Factor 4*o**2 + 4648*o - 2722080.
4*(o - 428)*(o + 1590)
Solve -2*o**2 - 36508*o = 0 for o.
-18254, 0
Determine t, given that 2*t**3/9 + 1426282*t**2/9 - 2852570*t/9 + 1426286/9 = 0.
-713143, 1
Factor -3*z**3 + 636*z**2 + 52719*z + 937440.
-3*(z - 279)*(z + 32)*(z + 35)
Factor -5*c**3 + 28350*c**2 - 35760000*c - 12876580000.
-5*(c - 2980)**2*(c + 290)
What is b in -2*b**3/3 + 458692*b**2/3 + 458698*b/3 - 305796 = 0?
-2, 1, 229347
Suppose i**5/2 + 260*i**4 - 39457*i**3/2 + 347638*i**2 - 618450*i = 0. What is i?
-589, 0, 2, 25, 42
Let -30*m**5/13 - 20642*m**4/13 + 232946*m**3/13 + 194458*m**2 - 28080228*m/13 = 0. Calculate m.
-699, -166/15, 0, 11
Find l, given that l**2/2 + 11456808*l + 65629224774432 = 0.
-11456808
Factor -3*p**2 - 146316*p - 7016256.
-3*(p + 48)*(p + 48724)
Determine a, given that 11*a**5 + 746*a**4 + 8444*a**3 + 12696*a**2 - 2592*a = 0.
-54, -12, -2, 0, 2/11
Suppose 2*d**3 + 24046950*d**2 - 2*d - 24046950 = 0. Calculate d.
-12023475, -1, 1
Find m suc