*l**2 - 21828*l + 7488 = 0.
-624, -4, -3, 2/7
Factor -3*y**2/8 + 18963*y/4 + 37950.
-3*(y - 12650)*(y + 8)/8
Factor -d**3 - 5367473*d**2 - 32204811*d - 48307203.
-(d + 3)**2*(d + 5367467)
Suppose -j**3 + 7231*j**2 - 515063*j - 2756215 = 0. Calculate j.
-5, 77, 7159
Factor -4*h**4 - 37136*h**3 - 63152656*h**2.
-4*h**2*(h + 2242)*(h + 7042)
Solve 3*v**5/4 + 13*v**4 - 6655*v**3/4 - 2236*v**2 - 560*v = 0 for v.
-56, -1, -1/3, 0, 40
Suppose 2*i**2/5 - 13712*i + 144313662/5 = 0. Calculate i.
2253, 32027
Solve -a**4/6 + 63565*a**3 - 36366108553*a**2/6 + 48485093660*a - 290904459848/3 = 0.
4, 190691
Factor 4*s**2 - 174448*s - 5586432.
4*(s - 43644)*(s + 32)
Find o, given that -4*o**2 - 40780*o - 5670456 = 0.
-10054, -141
Factor w**2 + 164104*w + 6732530704.
(w + 82052)**2
Find o, given that o**3/3 + 4124*o**2/3 + 86201*o/3 + 155914/3 = 0.
-4103, -19, -2
Find i, given that -3*i**4/2 + 119941*i**3/4 - 334633*i**2 - 1218731*i/4 + 59937 = 0.
-1, 1/6, 12, 19979
Let 196*z**3/3 + 27295912*z**2/3 - 31195520*z/3 + 2971008 = 0. What is z?
-139266, 4/7
Find s, given that -332*s**3/7 + 97924*s**2/7 + 1441176*s/7 = 0.
-1166/83, 0, 309
Factor 132*l**4 - 11751*l**3 + 267*l**2.
3*l**2*(l - 89)*(44*l - 1)
Factor -4*n**2 - 2056352*n + 6169092.
-4*(n - 3)*(n + 514091)
What is s in 3*s**2 + 122348325*s = 0?
-40782775, 0
Let -8*p**4/7 + 15102*p**3/7 + 9194*p**2 - 56760*p/7 = 0. What is p?
-5, 0, 3/4, 1892
Solve -9*d**2 + 3160851*d + 1053618 = 0 for d.
-1/3, 351206
Let -7498683*t**3/4 + 10880608005*t**2/4 - 6882096*t + 4353 = 0. What is t?
2/1581, 1451
Determine d, given that 5*d**4 - 15215*d**3 - 915090*d**2 = 0.
-59, 0, 3102
Find k, given that -38*k**5 - 1269854*k**4 - 10580249034*k**3 + 476446712742*k**2 + 100773489960*k = 0.
-16731, -4/19, 0, 45
What is z in 2*z**4 + 2145476*z**3/7 - 76642662*z**2/7 - 14496308*z - 22686032/7 = 0?
-153284, -1, -2/7, 37
Determine k so that 2*k**3 - 141558*k**2 + 2504762640*k + 2504904200 = 0.
-1, 35390
Factor 3*u**2/4 - 67223499*u/4 + 16805874.
3*(u - 22407832)*(u - 1)/4
Factor t**3/6 - 35*t**2 - 2292*t - 22176.
(t - 264)*(t + 12)*(t + 42)/6
Factor -2*p**2/9 - 117296*p/9 + 8926048/9.
-2*(p - 76)*(p + 58724)/9
Suppose 7*v**5/6 - 26353*v**4/6 + 1671654*v**3 - 511065856*v**2/3 + 1346257792*v/3 + 142160600 = 0. What is v?
-2/7, 3, 206, 3350
Suppose 4*w**4 - 59276*w**3 + 296304*w**2 - 355536*w = 0. Calculate w.
0, 2, 3, 14814
Factor -3*f**5 + 252048*f**4 - 36253440*f**3 + 1739501568*f**2 - 27826716672*f.
-3*f*(f - 83872)*(f - 48)**3
Suppose -5*q**2/6 - 143045*q/6 + 14728725 = 0. Calculate q.
-29214, 605
Factor 2*x**2/11 - 194798628*x/11 + 4743313183835298/11.
2*(x - 48699657)**2/11
Find i such that 3*i**4 + 74709*i**3 - 1569954*i**2 + 6430104*i - 7178112 = 0.
-24924, 2, 3, 16
Let -2*k**2/7 - 5154068*k/7 - 5154066/7 = 0. Calculate k.
-2577033, -1
What is r in -r**5/7 - 7611*r**4/7 - 14200174*r**3/7 + 153779892*r**2 - 2096056888*r/7 = 0?
-3842, 0, 2, 71
Solve -146*v**2/9 - 2261798*v/9 - 1734992/9 = 0.
-15491, -56/73
Suppose 5*z**2 - 10686850*z - 10686855 = 0. What is z?
-1, 2137371
Determine p so that -p**5 - 457264*p**4 - 19203192*p**3 + 60353170*p**2 - 61267703*p + 20574990 = 0.
-457222, -45, 1
Let -m**4/2 + 744*m**3 + 7543*m**2/2 - 58263*m + 53748 = 0. What is m?
-12, 1, 6, 1493
Solve -4*h**4 - 22436*h**3 - 11710692*h**2 - 1759736124*h - 41728018104 = 0 for h.
-5046, -267, -29
Factor -2*j**2 + 848952*j - 236701926.
-2*(j - 424197)*(j - 279)
Factor -4*b**3 + 128*b**2 - 876*b - 1008.
-4*(b - 21)*(b - 12)*(b + 1)
Let -6*d**5/7 + 2768*d**4/7 - 311712*d**3/7 - 1973316*d**2/7 + 52569926*d/7 + 35830740/7 = 0. Calculate d.
-15, -2/3, 11, 233
Factor -5*r**2 - 28366305*r.
-5*r*(r + 5673261)
Determine a so that a**2/6 + 313651*a/2 + 940947 = 0.
-940947, -6
Factor 2*j**3 + 298972*j**2/3 + 3726236800*j/3 + 47151043264/3.
2*(j + 24908)**2*(3*j + 38)/3
Factor 2*y**3/15 + 125923624*y**2/15 + 1982094885161672*y/15.
2*y*(y + 31480906)**2/15
Factor 3*o**2 - 24348*o + 42379392.
3*(o - 5588)*(o - 2528)
Find j, given that j**4/5 + 10203*j**3/5 + 26263506*j**2/5 + 1212859988*j/5 + 464149512 = 0.
-5078, -45, -2
Solve -2*z**3/11 + 962*z**2/11 + 654172*z/11 - 1971120/11 = 0 for z.
-382, 3, 860
Factor 4*k**2/7 - 18700*k/7 - 96912.
4*(k - 4711)*(k + 36)/7
Factor -5*l**2 + 464050*l - 10767120125.
-5*(l - 46405)**2
What is r in -4*r**3/9 - 18344*r**2/9 - 4242700*r/3 - 268023728 = 0?
-3788, -399
Determine r, given that -r**2/4 + 306*r + 426481/4 = 0.
-283, 1507
Let -4*f**4/7 - 34732*f**3/7 - 554460*f**2/7 + 1976076*f/7 = 0. Calculate f.
-8667, -19, 0, 3
Factor -t**3/3 + 38643*t**2 - 618224*t + 7418432/3.
-(t - 115913)*(t - 8)**2/3
Factor u**2 + 9366*u + 853208.
(u + 92)*(u + 9274)
Factor 4*n**3/5 + 35846116*n**2/5 + 80309019940896*n/5 + 80308984094784/5.
4*(n + 1)*(n + 4480764)**2/5
Factor 196*o**2 + 775*o + 579.
(o + 1)*(196*o + 579)
Find c such that 4*c**5 + 5912*c**4 + 361608*c**3 + 7142512*c**2 + 39389204*c - 110336040 = 0.
-1415, -27, -19, 2
Factor 25432*x**4 - 101692*x**3 + 101584*x**2 + 144*x.
4*x*(x - 2)**2*(6358*x + 9)
Let -78*z**4 + 19047*z**3 + 92982*z**2 + 97947*z - 22410 = 0. What is z?
-3, -2, 5/26, 249
Factor -2*u**3 + 16200*u**2 - 43462650*u + 38656908500.
-2*(u - 3130)*(u - 2485)**2
Solve n**3/7 + 28662702*n**2/7 - 171976239*n/7 + 257964372/7 = 0.
-28662708, 3
Determine r, given that -4*r**3/9 - 9476*r**2/9 - 5660800*r/9 - 334720000/3 = 0.
-1569, -400
Let 3*z**2 - 5469207*z + 10938402 = 0. What is z?
2, 1823067
Solve -5*a**5 + 3443*a**4 - 603962*a**3 + 3872078*a**2 - 5946017*a + 2674463 = 0.
1, 23/5, 341
Solve -2*r**4 - 1924*r**3 + 599678*r**2 - 586184*r - 3586440 = 0 for r.
-1210, -2, 3, 247
Determine h so that h**3/2 - 117401*h**2 - 939232*h - 1878480 = 0.
-4, 234810
Factor 4*b**2 + 1384*b - 126300.
4*(b - 75)*(b + 421)
Suppose d**4/4 - 137665*d**3/2 + 5230943*d**2/4 - 4680287*d/2 = 0. What is d?
0, 2, 17, 275311
What is v in -v**5/5 - 122*v**4/5 + 2064*v**3 + 147226*v**2/5 + 128077*v + 176880 = 0?
-176, -5, -3, 67
Let -2*o**3 - 124*o**2 + 36386*o - 349460 = 0. Calculate o.
-173, 10, 101
What is a in 2*a**5 + 2454*a**4 + 937932*a**3 + 105557096*a**2 + 104621616*a = 0?
-514, -198, -1, 0
Suppose -3*k**4 + 5191893*k**3 + 15575709*k**2 - 5191893*k - 15575706 = 0. Calculate k.
-3, -1, 1, 1730634
Factor -v**2 + 1524021*v + 4572072.
-(v - 1524024)*(v + 3)
Solve r**3/6 + 543*r**2/2 + 30229*r/3 = 0.
-1591, -38, 0
Let 35*t**2 + 15909*t/2 - 5814 = 0. What is t?
-228, 51/70
Solve 45*z**4/4 + 87115*z**3/4 + 1789345*z**2 + 3297415*z - 388500 = 0 for z.
-1850, -84, -2, 1/9
Let 4*p**4 + 96*p**3 - 18160*p**2 + 70848*p = 0. What is p?
-82, 0, 4, 54
Solve 5*m**3 + 1420160*m**2 - 22723520*m + 90895360 = 0.
-284048, 8
Factor -s**2 - 3500862*s + 3500863.
-(s - 1)*(s + 3500863)
What is d in 4*d**5 - 7868*d**4 + 47028*d**3 + 70652*d**2 - 109816*d = 0?
-2, 0, 1, 7, 1961
Factor x**3/2 - 580219*x**2/2 + 42082196156*x - 126243977496.
(x - 290108)**2*(x - 3)/2
Suppose -5*i**2 + 148994370*i - 744971725 = 0. Calculate i.
5, 29798869
Let 3*a**5/4 + 2578647*a**4/4 - 5157309*a**3/2 + 7735971*a**2/2 - 10314633*a/4 + 2578659/4 = 0. What is a?
-859553, 1
Let s**2/3 + 5641600*s/3 + 7956912640000/3 = 0. What is s?
-2820800
What is x in -37*x**3/5 - 280062*x**2/5 + 333*x/5 + 2520558/5 = 0?
-280062/37, -3, 3
Factor 4*l**2/3 - 1550896*l/3 + 6720324.
4*(l - 387711)*(l - 13)/3
Suppose 4*n**5 - 704*n**4 + 24044*n**3 - 202528*n**2 - 380208*n + 1389312 = 0. What is n?
-3, 2, 16, 27, 134
Factor 4*d**3 - 87340400*d**2 + 476771679350388*d - 953543009339208.
4*(d - 10917549)**2*(d - 2)
Let -m**3/3 - 2860752*m**2 + 5721505*m - 8582258/3 = 0. What is m?
-8582258, 1
Factor -p**3/2 + 192*p**2 - 189405*p/8 + 7348975/8.
-(p - 79)*(2*p - 305)**2/8
Suppose 2*o**2/5 + 11807316*o/5 + 17426588890482/5 = 0. Calculate o.
-2951829
Factor 3*w**2 - 35055*w + 1536612.
3*(w - 11641)*(w - 44)
Find g, given that g**4 + 258*g**3 + 6077*g**2 - 36960*g = 0.
-231, -32, 0, 5
Suppose -f**2/3 + 243281*f/3 + 324380 = 0. What is f?
-4, 243285
Factor 4*k**4/5 - 69092*k**3/5 + 138172*k**2/5 - 69084*k/5.
4*k*(k - 17271)*(k - 1)**2/5
Suppose -2*m**3/7 - 1707638*m**2/7 + 3415282*m/7 - 1707642/7 = 0. What is m?
-853821, 1
Find c such that -2*c**2/13 + 104575332*c/13 - 1367000007863778/13 = 0.
26143833
What is f in 4*f**2 - 35208*f -