1
Determine r so that r**3/3 - 9819*r**2 + 58907*r/3 + 29455 = 0.
-1, 3, 29455
Determine c, given that -192*c**5 - 132528*c**4 - 23653011*c**3 - 271236324*c**2 - 1068227472*c - 1413190848 = 0.
-2713/8, -4
Solve 2*l**4/5 + 10167408*l**3/5 + 12922013012396*l**2/5 - 25844056527024*l/5 + 12922033347218/5 = 0 for l.
-2541853, 1
Find f, given that -f**3 + 572861*f**2 + 4010064*f + 6874416 = 0.
-4, -3, 572868
What is c in 2*c**2/7 + 50970*c/7 + 52388152/7 = 0?
-24412, -1073
Let -24*g**4/7 - 23068*g**3/7 - 5204884*g**2/7 + 4357288*g/7 + 124384 = 0. Calculate g.
-598, -364, -1/6, 1
Suppose -t**5/3 - 13556*t**4/3 - 45722281*t**3/3 + 1495274086*t**2/3 + 61939335380*t/3 + 452444989672/3 = 0. Calculate t.
-6794, -13, 58
Suppose -2*f**2/7 - 104280*f/7 + 4905578/7 = 0. Calculate f.
-52187, 47
Factor 5*k**2 - 201870*k + 5446845.
5*(k - 40347)*(k - 27)
Solve 2*t**5 + 202*t**4 - 17590*t**3 - 602*t**2 + 53156*t - 35168 = 0 for t.
-157, -2, 1, 56
Factor 14*t**2/15 - 671436154*t/15 + 12789260.
2*(t - 47959725)*(7*t - 2)/15
Factor -2*w**3 + 1198*w**2 - 33942*w - 112662.
-2*(w - 569)*(w - 33)*(w + 3)
Suppose 77397*d**3/4 - 1315743*d**2/4 - 51*d/2 = 0. Calculate d.
-2/25799, 0, 17
Find t, given that 5*t**5 + 10480*t**4 - 4225455*t**3 + 409068070*t**2 - 3072412000*t + 6012300000 = 0.
-2454, 4, 175
Factor -4*w**4 - 2227920*w**3 - 2227916*w**2.
-4*w**2*(w + 1)*(w + 556979)
Find m such that -4*m**3 + 5632*m**2 - 225860*m + 2285624 = 0.
19, 22, 1367
Solve d**2/4 + 206*d - 54285 = 0 for d.
-1034, 210
Let -2*u**4 - 17286*u**3 + 86488*u**2 + 69144*u - 345920 = 0. Calculate u.
-8648, -2, 2, 5
Factor -h**2/4 + 544980*h - 10899575/4.
-(h - 2179915)*(h - 5)/4
Solve -2*b**4/5 - 19372*b**3/5 - 61722306*b**2/5 - 12967040944*b + 12979389280 = 0 for b.
-3967, -2860, 1
Let 5*w**3 + 85285*w**2 + 11001895*w - 11087185 = 0. What is w?
-16927, -131, 1
Determine o so that 6*o**4 - 145612136*o**3 + 1177938580094820*o**2 - 3176336379699982245096*o + 1058778662351268353094 = 0.
1/3, 8089563
Find x, given that -x**2/4 + 11258*x + 1943772 = 0.
-172, 45204
Factor 3*s**3 + 189*s**2 + 2436*s - 17280.
3*(s - 5)*(s + 32)*(s + 36)
What is d in 2*d**2 + 140158768*d + 2455560030909728 = 0?
-35039692
Solve -l**4/4 - 19131*l**3/2 + 661113*l**2 - 7432765*l/2 - 1204858323/4 = 0 for l.
-38331, -17, 43
Factor -5*l**2 + 91659465*l + 733276040.
-5*(l - 18331901)*(l + 8)
Factor -5*g**2 + 1305191660*g - 85176263466677780.
-5*(g - 130519166)**2
Suppose -y**4 + 892*y**3 + 107172*y**2 - 1385008*y + 3768448 = 0. What is y?
-118, 4, 8, 998
Determine u so that u**4/2 - 16471980*u**3 - 98831889*u**2/2 = 0.
-3, 0, 32943963
Let -4*k**3 - 17492*k**2/7 + 4567712*k/7 - 1303632/7 = 0. What is k?
-823, 2/7, 198
Factor -n**3/3 - 76389556*n**2/3 - 152779109*n/3 - 76389554/3.
-(n + 1)**2*(n + 76389554)/3
Factor -p**3/5 + 233*p**2/5 - 17727*p/5 + 87723.
-(p - 95)*(p - 81)*(p - 57)/5
Factor u**3/2 + 1878944*u**2 + 82673173*u/2 + 227350893.
(u + 11)**2*(u + 3757866)/2
Find c, given that 2*c**4 + 696*c**3 - 16426*c**2 - 54120*c - 37000 = 0.
-370, -2, -1, 25
Suppose v**5/3 - 3644*v**4/3 - 9732*v**3 - 73024*v**2/3 - 58432*v/3 = 0. What is v?
-4, -2, 0, 3652
Suppose 4*f**2 + 9032*f - 19542732 = 0. Calculate f.
-3611, 1353
Suppose -2*p**3/17 - 107846*p**2/17 + 35970208*p/17 - 2990101560/17 = 0. What is p?
-54255, 166
Factor -2*f**2/5 + 2088*f - 5886022/5.
-2*(f - 4577)*(f - 643)/5
Solve 975*p**5 + 259790*p**4 - 38084805*p**3 + 73459380*p**2 - 33708380*p - 1926960 = 0.
-372, -2/39, 1, 518/5
What is g in -2*g**3 + 3466*g**2 - 1159942*g + 109368686 = 0?
203, 1327
What is u in 3*u**4/7 + 111093*u**3/7 - 24360201*u**2/7 + 24026907*u/7 + 6928314 = 0?
-37249, -1, 2, 217
Factor o**3 - 2052*o**2 + 44780*o - 243600.
(o - 2030)*(o - 12)*(o - 10)
Factor -2*r**3 + 13392*r**2 + 6833112*r + 840979040.
-2*(r - 7180)*(r + 242)**2
Solve -160*t**5/11 - 200162*t**4/11 - 600902*t**3/11 + 791240*t**2/11 + 9984*t/11 = 0.
-1248, -4, -1/80, 0, 1
Factor 3*l**2 + 33975*l + 1590198.
3*(l + 47)*(l + 11278)
Suppose -z**2 + 31820476*z - 253135673216644 = 0. What is z?
15910238
Factor -o**3/8 - 5329*o**2/2 - 234373*o/8 - 191745/4.
-(o + 2)*(o + 9)*(o + 21305)/8
What is o in -o**3/2 - 6090340*o**2 - 37092350941477*o/2 - 333829185206049 = 0?
-6090331, -18
Solve -2542*k**3/3 + 43238*k**2/3 + 507992*k/3 - 1600 = 0.
-8, 12/1271, 25
Find h such that -11*h**3 + 24165*h**2 - 13201546*h - 2401080 = 0.
-2/11, 1020, 1177
Factor -28*j**4 + 414672*j**3 + 118480*j**2.
-4*j**2*(j - 14810)*(7*j + 2)
Factor -n**2/2 + 95537*n/2 - 5582070.
-(n - 95420)*(n - 117)/2
Determine s so that s**4 + 1414*s**3 + 4119*s**2 - 161294*s - 620840 = 0.
-1411, -10, -4, 11
Let 36*s**5/17 + 10*s**4 - 2412*s**3/17 - 16790*s**2/17 - 17724*s/17 + 2160 = 0. What is s?
-6, -85/18, -4, 1, 9
Factor -5*c**5 - 108405*c**4 + 39790245*c**3 - 4832335255*c**2 + 195261453420*c.
-5*c*(c - 121)**3*(c + 22044)
Factor -3*t**4 + 4113648*t**3 - 1410170875338*t**2 - 2820354091632*t - 1410179102643.
-3*(t - 685609)**2*(t + 1)**2
Factor m**2/3 - 45338537*m/3 - 90677078/3.
(m - 45338539)*(m + 2)/3
Factor -2*r**2 + 124123008*r - 1925815139371008.
-2*(r - 31030752)**2
Solve -48387*o**4/4 + 17319879*o**3/2 - 4629913671*o**2/4 - 127674981*o - 3519327 = 0 for o.
-7/127, 178, 538
What is r in -2*r**4/13 - 922*r**3/13 - 89026*r**2/13 - 1830950*r/13 + 1920900/13 = 0?
-337, -95, -30, 1
Find l such that 8*l**3/19 - 126672770*l**2/19 + 501437223942624*l/19 - 125359298068608/19 = 0.
1/4, 7917048
Factor 3*k**2/5 - 17820402*k/5 + 35640792/5.
3*(k - 5940132)*(k - 2)/5
Find a such that -10*a**5 + 172144*a**4 + 275460*a**3 - 68848*a**2 - 275450*a - 103296 = 0.
-1, -3/5, 1, 17216
Determine c so that -2*c**2/15 + 534562*c/15 - 2138216/15 = 0.
4, 267277
Factor -3*k**2 - 770681580*k - 49495841479274700.
-3*(k + 128446930)**2
Find r such that 2*r**4/3 - 15692*r**3/3 + 3475162*r**2/3 - 10315672*r/3 + 2285400 = 0.
1, 2, 225, 7618
Factor u**2/4 + 17516639*u/2 + 306832641856321/4.
(u + 17516639)**2/4
Find j such that -5*j**4 + 670*j**3 + 268540*j**2 + 12253800*j + 151126560 = 0.
-138, -26, 324
What is c in c**2/12 - 4136*c/3 - 163843 = 0?
-118, 16662
Determine q, given that 2*q**2 + 3654294*q - 10962900 = 0.
-1827150, 3
Find m, given that -5*m**2 - 1693660*m + 1693665 = 0.
-338733, 1
Let 2*v**2 - 46970*v + 4490688 = 0. What is v?
96, 23389
Factor 4*a**2 + 13452*a + 11253600.
4*(a + 1563)*(a + 1800)
Find g such that 3*g**5/4 - 581775*g**4/4 + 14104771053*g**3/2 - 211513973937*g**2/2 + 761429596515*g/4 - 366610608975/4 = 0.
1, 13, 96955
Factor 3*a**3 + 151737*a**2 + 1977280632*a + 1470574763028.
3*(a + 791)*(a + 24894)**2
Solve -h**4/3 - 3356*h**3/3 - 1036208*h**2/3 - 80997520*h/3 + 174671600 = 0.
-3022, -170, 6
Suppose 6*p**3/5 + 37650274*p**2/5 + 59064328553344*p/5 + 19688088600968 = 0. Calculate p.
-3137522, -5/3
Factor 4*y**3 - 74276*y**2 + 4220960*y - 4146688.
4*(y - 18512)*(y - 56)*(y - 1)
Let 3*p**4/4 - 705426*p**3 + 331766079777*p**2/2 - 3649069235310*p - 15259811922501/4 = 0. What is p?
-1, 23, 470273
What is y in y**5 + 98722*y**4 + 1085863*y**3 + 4145926*y**2 + 6317536*y + 3158752 = 0?
-98711, -4, -2, -1
Solve 2*l**3/5 - 896088*l**2/5 + 100378881288*l/5 - 1605832710272/5 = 0 for l.
16, 224014
Factor n**3/6 - 12028*n**2 + 217129406*n - 13013334760/3.
(n - 36074)**2*(n - 20)/6
Factor 5*k**2 - 14683280*k + 10779935577920.
5*(k - 1468328)**2
Find h, given that -4*h**4 - 1069820*h**3 - 71503818368*h**2 + 3792708093392*h = 0.
-133754, 0, 53
Determine c, given that -5*c**2 - 1128155*c - 11281050 = 0.
-225621, -10
Let m**4 - 70*m**3 - 168579*m**2 + 30495760*m - 1397106100 = 0. Calculate m.
-458, 95, 338
Determine y, given that -2*y**4/15 - 3507502*y**3/5 + 10522512*y**2/5 - 8*y/15 - 14030016/5 = 0.
-5261256, -1, 2
Factor 2*x**2/9 + 5918*x/9 + 898076/3.
2*(x + 562)*(x + 2397)/9
Factor -2*u**4 - 1263708*u**3 + 5054864*u**2.
-2*u**2*(u - 4)*(u + 631858)
Factor 2*z**3/5 + 4151484*z**2/5 + 8302962*z/5 + 830296.
2*(z + 1)**2*(z + 2075740)/5
Determine s, given that -10*s**4/9 + 7646*s**3/9 - 14158*s**2/3 - 2534*s + 3036 = 0.
-1, 3/5, 6, 759
Find m such that 4*m**3 + 107244*m**2 + 428928*m + 428912 = 0.
-26807, -2
Let q**4/6 - 169701*q**3 - 1527314*q**2/3 + 169701*q + 1018209/2 = 0. What is q?
-3, -1, 1, 1018209
Factor 5*w**3 - 5615*w**2 - 137900*w + 29822