 + 69984*o**2 = 0.
-27, -24, 0
Factor 100*k**2/9 + 2612*k/9 - 275192/9.
4*(k - 41)*(25*k + 1678)/9
Factor z**3/3 + 116807128*z**2/3 + 38935709*z.
z*(z + 1)*(z + 116807127)/3
Let 36*z**5/7 - 522*z**4 + 40244*z**3/7 - 16998*z**2/7 - 23900*z/7 + 4272/7 = 0. Calculate z.
-2/3, 1/6, 1, 12, 89
Factor -y**2 + 567922*y - 80633849521.
-(y - 283961)**2
Let -t**3/5 + 107725163*t**2/5 = 0. Calculate t.
0, 107725163
Determine f, given that 3*f**2/7 + 12717*f/7 - 1235190/7 = 0.
-4334, 95
Factor 2*c**3 + 70944*c**2 + 354598*c - 2553624.
2*(c - 4)*(c + 9)*(c + 35467)
Let -4*v**5 + 5548*v**4 - 1816348*v**3 - 75989516*v**2 + 341526464*v + 415694080 = 0. Calculate v.
-41, -1, 5, 712
What is j in -4*j**4 + 3155344*j**3 + 18932208*j**2 = 0?
-6, 0, 788842
Suppose -2*k**5/11 - 746*k**4/11 - 27642*k**3/11 - 30698*k**2 - 1340620*k/11 - 1539792/11 = 0. What is k?
-333, -17, -4, -2
Factor p**3/5 + 771*p**2 - 1017793*p/5 - 1021647/5.
(p - 249)*(p + 1)*(p + 4103)/5
Let 46*d**5/5 - 122224*d**4/5 - 1714856*d**3/5 + 197012*d**2/5 + 342962*d - 74788/5 = 0. What is d?
-14, -1, 1/23, 1, 2671
Factor 3852*n**2 + 35372226*n/7 - 62968/7.
2*(6*n + 7871)*(2247*n - 4)/7
Factor -5*u**3 - 10276065*u**2 - 5279880732240*u - 5279870456180.
-5*(u + 1)*(u + 1027606)**2
Factor -4*j**2 + 414353440*j - 10730548327489600.
-4*(j - 51794180)**2
Factor 4*i**3/5 - 55072*i**2/5 - 495891*i/5 - 1115937/5.
(i - 13777)*(2*i + 9)**2/5
Find s such that -s**3 - 161742*s**2 + 970483*s - 808740 = 0.
-161748, 1, 5
Determine p, given that 2*p**2/7 - 34396*p/7 + 103062 = 0.
21, 17177
Solve -4*j**2 + 2167771144*j - 293701983297441796 = 0 for j.
270971393
Solve -4*g**5 + 6500*g**4 - 452284*g**3 - 1395892*g**2 - 1408912*g - 471808 = 0 for g.
-1, 76, 1552
Solve 5*h**2/2 - 72090*h - 16646825/2 = 0 for h.
-115, 28951
Factor 5*p**3 + 406985*p**2 + 5697055*p + 19938835.
5*(p + 7)**2*(p + 81383)
Let -8*r**5/7 + 19854*r**4/7 - 12315684*r**3/7 - 3080162*r**2/7 = 0. What is r?
-1/4, 0, 1241
Factor 3*f**3 + 3543*f**2 + 341529*f - 345075.
3*(f - 1)*(f + 107)*(f + 1075)
What is u in -2*u**5/19 + 192*u**4/19 + 22368*u**3/19 + 65932*u**2/19 + 65538*u/19 + 21780/19 = 0?
-66, -1, 165
Let -4*a**2 - 692089*a - 173022 = 0. What is a?
-173022, -1/4
Determine o, given that 7*o**4/5 + 48479*o**3/5 + 27693*o**2/5 - 48479*o/5 - 5540 = 0.
-6925, -1, -4/7, 1
Find v such that -v**5/3 - 3309*v**4 + 109276*v**3/3 - 417332*v**2/3 + 212000*v - 318016/3 = 0.
-9938, 1, 2, 4
Find p such that 5729*p**4/2 + 40127*p**3/2 - 68664*p**2 - 515898*p - 2160 = 0.
-6, -24/5729, 5
Factor 2*g**4 - 14208*g**3 + 32858280*g**2 - 24505135200*g.
2*g*(g - 2730)**2*(g - 1644)
Solve -2*z**4 + 16468*z**3 - 34707370*z**2 + 3304779128*z + 6748519512 = 0 for z.
-2, 102, 4067
Factor h**3/9 - 758*h**2/9 - 1672495*h/9 - 1671736/9.
(h - 1727)*(h + 1)*(h + 968)/9
Find s, given that 5*s**3 - 14350*s**2 + 12302125*s - 2720382500 = 0.
340, 1265
Suppose -27*d**3/8 - 5593*d**2/8 - 3195*d/4 - 103 = 0. What is d?
-206, -1, -4/27
Suppose -v**5 + 72*v**4 - 41*v**3 - 11622*v**2 + 11592*v = 0. Calculate v.
-12, 0, 1, 14, 69
Factor -641*n**2/2 + 39581*n/4 + 4991/4.
-(n - 31)*(1282*n + 161)/4
Determine y so that 5*y**2 - 11791050*y - 23582120 = 0.
-2, 2358212
Find r, given that 16346*r**2/5 + 32872*r/5 + 72 = 0.
-2, -90/8173
Determine o so that -26*o**4/15 + 4*o**3/3 + 8438*o**2/15 + 16552*o/15 - 7296 = 0.
-16, -5, 36/13, 19
Let -w**2/5 - 8373571*w/5 - 1674714 = 0. What is w?
-8373570, -1
Find k such that 2*k**3/7 - 94*k**2 + 12552*k/7 - 59328/7 = 0.
8, 12, 309
Solve 45*u**4 + 663235*u**3 + 3683595*u**2 + 5082885*u = 0.
-14733, -3, -23/9, 0
Factor 2*r**2/3 - 3730*r/3 - 4555896.
2*(r - 3708)*(r + 1843)/3
Factor -537920*a**3 + 42912240*a**2 + 9701955*a + 547600.
-5*(a - 80)*(328*a + 37)**2
Factor -3839262317609403*t**2 - 858567624*t - 48.
-3*(35773651*t + 4)**2
Let 2*r**4/7 + 180146*r**3/7 + 11341132*r**2/7 - 11521280*r/7 = 0. What is r?
-90010, -64, 0, 1
Factor 33*v**2/7 + 760929*v/7 - 415062/7.
3*(v + 23059)*(11*v - 6)/7
Factor 3*v**3 + 53175*v**2 - 958122*v.
3*v*(v - 18)*(v + 17743)
Find s such that -2*s**3/7 - 5542*s**2/7 - 460690*s + 461482 = 0.
-1939, -833, 1
Factor 2*z**2 - 2422484*z + 14534832.
2*(z - 1211236)*(z - 6)
Suppose n**2 + 37645715*n = 0. What is n?
-37645715, 0
Let -8*d**5 - 254*d**4 + 49046*d**3 - 155524*d**2 - 144336*d = 0. Calculate d.
-97, -3/4, 0, 4, 62
Find t, given that -2*t**2/19 - 1817322*t/19 - 1817320/19 = 0.
-908660, -1
Factor -5*v**4 + 184215*v**3 + 19198920*v**2 + 499523440*v.
-5*v*(v - 36947)*(v + 52)**2
Determine k so that -2*k**2 - 552092*k - 10489026 = 0.
-276027, -19
Solve -51310*v**5/9 + 670798*v**4/9 + 1493302*v**3/9 - 151822*v**2/9 - 30016*v/3 - 120 = 0.
-2, -1/5, -9/733, 2/7, 15
Determine h so that 21*h**4/5 - 53019*h**3/5 + 248994*h**2/5 + 244944*h = 0.
-3, 0, 54/7, 2520
Let 5*m**2/2 + 243775*m - 1462695/2 = 0. What is m?
-97513, 3
Suppose 3*b**2/5 - 4878096*b/5 + 1982985048768/5 = 0. Calculate b.
813016
Let -2*u**3 - 88408*u**2 + 3096482*u - 10971272 = 0. Calculate u.
-44239, 4, 31
Determine w so that 5*w**4 + 855*w**3 + 19270*w**2 + 151620*w + 394200 = 0.
-146, -10, -9, -6
Factor -s**3/4 + 187357759*s**2/4 - 8775732558054399*s/4 + 8775732370696641/4.
-(s - 93678879)**2*(s - 1)/4
Find t such that -3*t**3/5 - 2019*t**2/5 - 76728*t/5 - 486144/5 = 0.
-633, -32, -8
Factor 4*k**3/3 - 48744280*k**2 + 445500954878976*k - 2673005144342528/3.
4*(k - 18279104)**2*(k - 2)/3
Factor 4*d**4 + 116072416*d**3 + 842050940116696*d**2 + 8420500695737760*d + 21051244484820900.
4*(d + 5)**2*(d + 14509047)**2
Solve 45*f**4/4 - 84381*f**3/4 + 378855*f**2 - 50139*f = 0 for f.
0, 2/15, 18, 1857
Let -4*a**4 + 702304*a**3 - 41192309448*a**2 + 812339210540672*a - 306684856226630420 = 0. Calculate a.
385, 58397
Solve -2*c**2/17 + 594886564*c/17 - 44236253003465762/17 = 0 for c.
148721641
Suppose z**4/4 - 1225818*z**3 + 3005257086611*z**2/2 + 3005260764066*z + 6010523979769/4 = 0. Calculate z.
-1, 2451637
Solve -2*c**4 - 7816*c**3 + 7652384*c**2 - 60843392*c + 121436160 = 0 for c.
-4720, 4, 804
Factor f**3 + 56716696*f**2 + 804195844572405*f - 1608391916011602.
(f - 2)*(f + 28358349)**2
Factor 4*y**3 + 685988*y**2 + 2057928*y.
4*y*(y + 3)*(y + 171494)
Determine s, given that -3*s**3/4 - 6438*s**2 + 32219625*s/4 - 4721406663/2 = 0.
-9722, 569
Suppose 2*k**2 + 6252255*k - 6252257 = 0. What is k?
-6252257/2, 1
Factor 2*a**2/5 + 56993164*a/5 - 113986336/5.
2*(a - 2)*(a + 28496584)/5
Factor l**2/9 - 490459868*l/9 + 60137720529644356/9.
(l - 245229934)**2/9
Factor 2*g**2/9 - 2206680*g + 5478116200200.
2*(g - 4965030)**2/9
Determine t so that 3*t**3 - 648*t**2 - 54156*t + 110880 = 0.
-66, 2, 280
Find n, given that -6*n**2/13 + 2612*n/13 - 259952/13 = 0.
154, 844/3
Determine x, given that -76*x**3/9 + 8800*x**2/3 + 501268*x/9 - 175864/3 = 0.
-19, 1, 6942/19
Factor -125*g**4 - 922150*g**3 - 1700352345*g**2 + 1360724540*g - 272174420.
-5*(g + 3689)**2*(5*g - 2)**2
Let 3*k**2/4 - 933*k + 725169/4 = 0. Calculate k.
241, 1003
Solve 4*r**2 - 17352600*r + 18819545422500 = 0 for r.
2169075
Solve 2*y**4/5 + 928*y**3/5 + 14176*y**2/5 - 14336*y = 0.
-448, -20, 0, 4
Let x**2 - 11319293*x + 11319292 = 0. What is x?
1, 11319292
Solve 4*q**3 + 51608*q**2 + 103068160*q = 0.
-10432, -2470, 0
Solve -2*z**5 + 16928*z**4 - 35988286*z**3 + 712656712*z**2 + 748661928*z = 0 for z.
-1, 0, 21, 4222
Factor -c**3/8 + 997*c**2/2 - 3967*c/8 - 19935/2.
-(c - 3987)*(c - 5)*(c + 4)/8
Determine n, given that -6781385*n**5 + 58508220*n**4 + 406680965*n**3 - 276298420*n**2 + 3374820*n - 10400 = 0.
-5, 2/323, 8/13, 13
Determine v so that 361*v**4/4 + 17173283*v**3/4 - 13558449*v**2/2 - 3425264*v - 380584 = 0.
-47573, -4/19, 2
Let -x**3/7 - 26053*x**2/7 + 860872*x/7 + 886924/7 = 0. What is x?
-26086, -1, 34
Factor -5*s**4 + 12205250*s**3 + 146463480*s**2 + 585854560*s + 781139840.
-5*(s - 2441062)*(s + 4)**3
Determine f so that 4*f**2 + 616*f + 22816 = 0.
-92, -62
Find r such that -4*r**5/3 + 1223800*r**4/3 - 93606626260*r**3/3 + 187199790880*r**2/3 + 655224355760*r/3 + 374416714816/3 = 0.
-1, 4, 152974
Suppose -5*d**4 - 6530*d**3 - 640380*d**2 + 1300370*d - 653455 = 0. What is d?
-1199, -109, 1
Let -c**4 + 2412*c**3 - 305517*c**2 + 603802*c - 300696 = 0. What is c?
1, 132, 2278
Factor 27*r**2 - 6988848*r + 1553076.
3