that -g**3 - 23*g**2 - 76*g = 0.
-19, -4, 0
Let -n**5/5 + 4*n**4 - 51*n**3/5 - 212*n**2/5 + 52*n/5 + 192/5 = 0. What is n?
-2, -1, 1, 6, 16
Factor k**3/4 - 21469*k**2/2 + 115240224*k - 230437512.
(k - 21468)**2*(k - 2)/4
Determine l so that 2*l**5/9 + 4*l**4 - 5156*l**3/9 - 150440*l**2/9 - 138250*l/3 - 269500/9 = 0.
-35, -2, -1, 55
Find z such that -2*z**4/9 + 5168*z**3/9 - 72080*z**2/9 + 102848*z/3 - 41120 = 0.
2, 6, 2570
Factor -o**2/2 - 5267*o - 27741289/2.
-(o + 5267)**2/2
Find t such that -2*t**5/15 - 388*t**4/15 - 14684*t**3/15 - 39128*t**2/3 - 873506*t/15 - 215156/3 = 0.
-149, -19, -5, -2
What is p in 2*p**4 - 12*p**3 - 584*p**2 + 5040*p = 0?
-18, 0, 10, 14
Find a, given that a**2/6 - 45*a + 532/3 = 0.
4, 266
Factor l**2 + 1222*l + 22857.
(l + 19)*(l + 1203)
Determine n so that 3*n**3/5 - 23*n**2 + 512*n/5 - 80 = 0.
1, 4, 100/3
Let 2*n**5 - 694*n**4 - 12196*n**3 - 65304*n**2 - 79056*n + 157248 = 0. What is n?
-6, 1, 364
What is s in -35*s**5 - 1135*s**4/2 - 5655*s**3/2 - 3870*s**2 + 1350*s = 0?
-15/2, -6, -3, 0, 2/7
Suppose 3*k**4 + 810*k**3 - 5013*k**2 - 12444*k - 6624 = 0. What is k?
-276, -1, 8
Factor -18*i**4 + 40066*i**3 + 4452*i**2.
-2*i**2*(i - 2226)*(9*i + 1)
Solve 2*j**4/3 + 194*j**3 - 592*j**2/3 - 776*j + 2336/3 = 0 for j.
-292, -2, 1, 2
Factor -h**2 - 99*h + 2242.
-(h - 19)*(h + 118)
Find h such that -80*h**5 + 3116*h**4 - 2804*h**3 - 3268*h**2 + 2884*h + 152 = 0.
-1, -1/20, 1, 38
Factor -21*u**2 - 24347604*u + 6956460.
-3*(u + 1159410)*(7*u - 2)
What is n in 4*n**5/5 - 76*n**4/5 + 372*n**3/5 - 324*n**2/5 - 1512*n/5 + 2592/5 = 0?
-2, 3, 12
Determine w so that w**2/2 + 3709*w/2 - 1855 = 0.
-3710, 1
Solve 4*i**4 + 1262956*i**3 - 1262960*i**2 = 0.
-315740, 0, 1
Suppose 2*o**2/3 - 648460*o/3 + 52562546450/3 = 0. Calculate o.
162115
Factor w**4/7 + 17019*w**3/7 - 4863*w**2 + 17021*w/7.
w*(w - 1)**2*(w + 17021)/7
Solve 34*y**5 + 834*y**4 - 1336*y**3 - 936*y**2 = 0 for y.
-26, -9/17, 0, 2
Suppose 4*t**3/3 - 116*t**2/3 + 412*t/3 - 100 = 0. Calculate t.
1, 3, 25
Solve -j**2/8 - 11341*j/8 = 0.
-11341, 0
Solve -g**2/3 - 730*g/3 + 56000/3 = 0 for g.
-800, 70
Solve w**2/6 - 1661*w - 9968/3 = 0.
-2, 9968
Solve -o**2/5 - 185364*o/5 - 8589953124/5 = 0 for o.
-92682
Factor -4*w**2 - 1401104*w - 122693276176.
-4*(w + 175138)**2
Let 510*j**2/11 + 4036*j/11 - 32 = 0. What is j?
-8, 22/255
Determine f, given that -2*f**3/9 + 175384*f**2/9 - 350750*f/3 + 175372 = 0.
3, 87686
Let -s**2/6 + 343*s/3 - 1364/3 = 0. What is s?
4, 682
Suppose 2*d**5 - 1378*d**4 - 5540*d**3 - 2780*d**2 + 5538*d + 4158 = 0. What is d?
-3, -1, 1, 693
Suppose -3*f**3 - 291*f**2 + 618*f + 2376 = 0. Calculate f.
-99, -2, 4
Factor 2*w**3/9 - 113394*w**2 + 43396592512*w/3 - 130188756992/9.
2*(w - 255136)**2*(w - 1)/9
Determine b so that -4*b**5 + 28*b**4 + 12*b**3 - 76*b**2 - 56*b = 0.
-1, 0, 2, 7
Factor -4*d**3 + 1208*d**2 - 1204*d.
-4*d*(d - 301)*(d - 1)
Factor -2*g**3/9 - 8224*g**2/9 - 16424*g/3.
-2*g*(g + 6)*(g + 4106)/9
Factor 5*m**2 - 4572855*m.
5*m*(m - 914571)
Solve -2*r**3 + 1422910*r**2 - 2845814*r + 1422906 = 0 for r.
1, 711453
Factor -2*a**3/21 - 6*a**2 - 1192*a/21 - 832/7.
-2*(a + 3)*(a + 8)*(a + 52)/21
Find q such that 2*q**2 - 133050*q + 266092 = 0.
2, 66523
Determine k, given that 5*k**2 - 129110*k + 129105 = 0.
1, 25821
Let 10*i**5 - 12418*i**4 + 205766*i**3 + 41650*i**2 = 0. Calculate i.
-1/5, 0, 17, 1225
Let -j**3/2 - 39*j**2/2 - 199*j - 180 = 0. What is j?
-20, -18, -1
Factor -2*n**3/5 + 5016*n**2/5 + 131768*n/5.
-2*n*(n - 2534)*(n + 26)/5
Suppose 4*h**5 - 3718*h**4/3 - 31256*h**3/3 + 9746*h**2 + 1908*h = 0. What is h?
-9, -1/6, 0, 1, 318
Solve -j**5/3 + 1219*j**4 - 1017290*j**3 - 533232146*j**2/3 - 6993402955*j + 7172163075 = 0 for j.
-77, 1, 1905
What is z in 2*z**5 - 188*z**4 + 550*z**3 - 364*z**2 = 0?
0, 1, 2, 91
What is q in 4*q**2 + 222512*q + 3094474384 = 0?
-27814
What is a in 5*a**5 - 135*a**4 + 1035*a**3 - 2005*a**2 - 480*a + 2700 = 0?
-1, 2, 9, 15
Factor o**3/8 + 9*o**2/8 - 273*o/8 + 1127/8.
(o - 7)**2*(o + 23)/8
Factor t**2/5 - 15816*t/5 + 62536464/5.
(t - 7908)**2/5
Solve 2*k**2/9 - 708*k + 233026/9 = 0.
37, 3149
Solve -1072*o**2 - 12863*o/6 + 1/3 = 0.
-2, 1/6432
Factor 3*b**3 + 462*b**2 - 14331*b + 59730.
3*(b - 22)*(b - 5)*(b + 181)
Suppose -2*b**3/3 - 104414*b**2/3 = 0. What is b?
-52207, 0
Suppose -61396*c**2 + 61378*c + 18 = 0. Calculate c.
-9/30698, 1
Factor -4*j**2 - 67488*j - 284664384.
-4*(j + 8436)**2
Suppose 33*y**4 + 873*y**3 - 1410*y**2 + 504*y = 0. What is y?
-28, 0, 6/11, 1
Suppose -12*j**3 + 2871*j**2 + 61443*j - 15540 = 0. What is j?
-20, 1/4, 259
Determine y, given that y**2/4 + 1455*y/2 - 1456 = 0.
-2912, 2
What is c in 13*c**3/7 - 2956*c**2/7 + 164105*c/7 + 449650/7 = 0?
-34/13, 115
Solve -v**5/2 - 38*v**4 - 675*v**3 + 2106*v**2 + 22815*v/2 = 0 for v.
-39, -3, 0, 5
Find f such that -3*f**4/7 - 123*f**3/7 - 915*f**2/7 + 3651*f/7 - 2610/7 = 0.
-29, -15, 1, 2
Factor z**3 - 81*z**2 - 430*z.
z*(z - 86)*(z + 5)
Factor 4*a**3 + 360208*a**2 + 360204*a.
4*a*(a + 1)*(a + 90051)
Factor c**2/3 - 25240*c/3 + 159264400/3.
(c - 12620)**2/3
What is x in 2227*x**4/2 + 24495*x**3/2 - 15600*x**2 - 26710*x + 24 = 0?
-12, -1, 2/2227, 2
Suppose -c**2/9 + 6206*c/3 - 9628609 = 0. Calculate c.
9309
Let -2*p**3/5 - 30814*p**2 - 2967118576*p/5 + 2967272648/5 = 0. Calculate p.
-38518, 1
Solve -2*z**2/9 + 189890*z/9 - 63296/3 = 0 for z.
1, 94944
Factor -5*g**3 - 15*g**2 + 245*g + 735.
-5*(g - 7)*(g + 3)*(g + 7)
Solve -o**3 + 232*o**2 - 11220*o + 154800 = 0 for o.
30, 172
Solve 18*h**4/7 - 10*h**3/7 - 8720*h**2/7 + 4840*h/7 + 3872/7 = 0.
-22, -4/9, 1, 22
Find c, given that 5*c**4 - 35*c**3 - 45*c**2 + 315*c = 0.
-3, 0, 3, 7
Solve 2*h**5/9 - 82*h**4 - 740*h**3/9 = 0 for h.
-1, 0, 370
Factor -v**2/4 - 1417*v/4 - 1415/2.
-(v + 2)*(v + 1415)/4
Solve 2*v**4 + 48*v**3 - 1690*v**2 - 33096*v - 31360 = 0.
-35, -16, -1, 28
Suppose -2*z**5 + 480*z**4 + 4936*z**3 + 15936*z**2 + 16000*z = 0. Calculate z.
-4, -2, 0, 250
Determine x, given that 4*x**3/9 + 20116*x**2/9 + 220688*x/9 - 521872/9 = 0.
-5018, -13, 2
Factor -3*u**4 + 489*u**3 + 1488*u**2 + 996*u.
-3*u*(u - 166)*(u + 1)*(u + 2)
Let 2*h**5/3 + h**4/6 - 54*h**3 - 171*h**2/2 + 630*h + 162 = 0. What is h?
-6, -1/4, 3, 9
Let -3*q**2/5 - 558*q/5 + 14421/5 = 0. Calculate q.
-209, 23
Find t, given that -770*t**5 + 16612*t**4 - 58242*t**3 - 27704*t**2 - 680*t = 0.
-2/5, -2/77, 0, 5, 17
Find z such that -2*z**2/5 + 975164*z/5 - 118868103362/5 = 0.
243791
Suppose 5*h**4 - 650*h**3 - 2775*h**2 + 12800*h - 9380 = 0. What is h?
-7, 1, 2, 134
Let 71*u**5 + 2842*u**4 + 31178*u**3 + 54836*u**2 + 27151*u + 722 = 0. Calculate u.
-19, -1, -2/71
Solve 12*r**3 - 1092416*r**2 + 24862295740*r - 16574378312 = 0.
2/3, 45517
Let 2*d**4 - 218*d**3 + 212*d**2 + 432*d = 0. Calculate d.
-1, 0, 2, 108
Factor 3*q**3/2 - 3987*q**2/2 - 14040*q + 16032.
3*(q - 1336)*(q - 1)*(q + 8)/2
Suppose 2*h**2 + 3788*h - 11382 = 0. What is h?
-1897, 3
What is h in -21*h**5/5 + 81*h**4/5 + 483*h**3/5 - 2241*h**2/5 + 618*h/5 + 648 = 0?
-5, -1, 2, 27/7, 4
Find m, given that 3*m**3/2 - 12*m**2 - 846*m - 4320 = 0.
-16, -6, 30
Determine t so that 4*t**4/3 + 37516*t**3/9 + 162352*t**2/9 + 24944*t/9 - 99904/9 = 0.
-3122, -4, -1, 2/3
Solve p**3/3 - 3080*p**2 + 7188144*p - 337971456 = 0.
48, 4596
Let -5*d**3 - 117975*d**2 - 235935*d - 117965 = 0. Calculate d.
-23593, -1
Factor l**3/3 - 1681*l**2/3 - 8426*l/3 - 2248.
(l - 1686)*(l + 1)*(l + 4)/3
Find s, given that 24*s**3 - 1719*s**2 + 1056*s + 639 = 0.
-3/8, 1, 71
Suppose -20*u**4 + 1835*u**3 - 8320*u**2 + 4765*u + 1740 = 0. What is u?
-1/4, 1, 4, 87
Factor -2*d**2/9 - 116096*d/3 - 1684785152.
-2*(d + 87072)**2/9
Suppose -c**4 + 28*c**3 - 276*c**2 + 1120*c - 1600 = 0. Calculate c.
4, 10
Factor -2*g**2/7 + 6556*g/7.
-2*g*(g - 3278)/7
Factor -2*q**3 + 11534*q**2 - 435478*q + 423946.
-2*(q - 5729)*(q - 37)*(q - 1)
Find f such that f**2/8 + 61427*f/4 + 3773276329/8 = 0.
-61427
Solve -105*n**4 - 72140*n**3 + 213680*n**2 - 151760*n + 27600 = 0.
-690, 2/7, 2/3, 2
Let b**2/2 + 1634*b + 3267/2 = 0. What is b?
-3267, -1
What is t in -4*t**2 - 1580*t - 56800 = 0?
-355, -40
Solve 2*p**3 + 226*p**2 - 232*p - 456 = 0 for p.
-114, -1, 2
Find m such that 4*m**5 + 1336*m**4 + 11780*m**3 + 26000*m**2 = 0.
-325, -5, -4, 0
Find z suc