= 0. Calculate o.
-2, 0, 12, 35
Solve -x**4 - 113*x**3 + 3614*x**2 = 0.
-139, 0, 26
Solve -4*z**4 + 102824*z**3 + 925744*z**2 - 102824*z - 925740 = 0.
-9, -1, 1, 25715
Determine r so that 4*r**4 - 1124*r**3 - 433136*r**2 + 434256*r = 0.
-218, 0, 1, 498
Solve 15*g**4 - 1490*g**3 - 2580*g**2 + 5570*g - 1515 = 0 for g.
-3, 1/3, 1, 101
Determine b so that b**5/4 - 3*b**4/2 - 5*b**3 + 6*b**2 + 16*b = 0.
-2, 0, 2, 8
Factor -2*o**2/11 - 150*o/11 + 264368/11.
-2*(o - 328)*(o + 403)/11
Factor a**4/4 - 39*a**3/4 - 153*a**2.
a**2*(a - 51)*(a + 12)/4
Factor -4*m**3/5 - 216*m**2/5 - 596*m/5 + 816/5.
-4*(m - 1)*(m + 4)*(m + 51)/5
Factor 2*a**2/7 + 10536*a/7 + 10534/7.
2*(a + 1)*(a + 5267)/7
Factor 2*i**2 - 41014*i - 615660.
2*(i - 20522)*(i + 15)
Factor -k**4 + 10842*k**3 - 32520*k**2 + 32518*k - 10839.
-(k - 10839)*(k - 1)**3
Solve 125*n**3 - 30975*n**2 + 24720*n - 4940 = 0.
2/5, 247
Factor 3*m**3 + 273*m**2 + 4602*m - 22968.
3*(m - 4)*(m + 29)*(m + 66)
Suppose -6*i**2 - 27443*i + 4574 = 0. What is i?
-4574, 1/6
Find a such that -a**5/2 + 5*a**4 + 70*a**3 - 165*a**2 - 459*a/2 = 0.
-9, -1, 0, 3, 17
Factor -k**2 - 153*k + 1804.
-(k - 11)*(k + 164)
Let 3*t**5 - 1473*t**4 - 10431*t**3 - 13467*t**2 + 10428*t + 14940 = 0. Calculate t.
-5, -2, -1, 1, 498
Suppose -2*r**4/15 + 2*r**3/5 + 68*r**2 + 400*r/3 = 0. What is r?
-20, -2, 0, 25
Factor -2*c**3 + 95144*c**2 - 1131357280*c - 4526951552.
-2*(c - 23788)**2*(c + 4)
Solve -r**5/4 + 19641*r**4/2 - 29460*r**3 + 58919*r**2/2 - 39279*r/4 = 0 for r.
0, 1, 39279
What is t in -3*t**4/7 + 285*t**3/7 + 3099*t**2/7 - 64581*t/7 = 0?
-19, 0, 11, 103
Find d, given that -3*d**2/7 - 153*d/7 + 11178 = 0.
-189, 138
Factor 3*q**4 + 2562*q**3 - 12*q**2 - 10248*q.
3*q*(q - 2)*(q + 2)*(q + 854)
Factor -4*q**2 - 1152*q - 21440.
-4*(q + 20)*(q + 268)
Suppose -2*l**4/9 - 128*l**3/9 - 2716*l**2/9 - 19840*l/9 - 5750/3 = 0. Calculate l.
-25, -23, -15, -1
Factor -o**2/3 - 700*o/3 + 24956/3.
-(o - 34)*(o + 734)/3
Find p, given that -3*p**3 - 354*p**2 - 13635*p - 170100 = 0.
-45, -28
Determine o so that o**3/3 + 410*o**2 + 87704*o/3 = 0.
-1154, -76, 0
Suppose 2*b**5 - 34*b**4 - 448*b**3 + 7680*b**2 = 0. Calculate b.
-15, 0, 16
Solve 4*w**3 - 63572*w**2 - 1017920*w - 4072704 = 0 for w.
-8, 15909
Let 5*a**4 - 706390*a**3 + 24950754325*a**2 - 99791715380*a = 0. Calculate a.
0, 4, 70637
Determine y, given that 18*y**5/5 - 178*y**4/5 + 358*y**3/5 + 42*y**2/5 = 0.
-1/9, 0, 3, 7
Suppose 4*b**3 - 13712*b**2 - 96212*b + 109920 = 0. What is b?
-8, 1, 3435
Determine o, given that 18*o**5 - 788*o**4 - 302*o**3 + 5408*o**2 + 5960*o + 1056 = 0.
-2, -1, -2/9, 3, 44
Solve -7322*y**5 - 36598*y**4 - 21906*y**3 + 65934*y**2 - 108*y = 0 for y.
-3, 0, 6/3661, 1
Solve 5*u**5 + 25*u**4 - 2670*u**3 + 9180*u**2 + 29160*u = 0 for u.
-27, -2, 0, 6, 18
Factor j**5 - 61*j**4 + 314*j**3 + 880*j**2.
j**2*(j - 55)*(j - 8)*(j + 2)
Let -5*f**2/9 - 1424*f/3 - 1419 = 0. Calculate f.
-4257/5, -3
Find f such that -5*f**4 - 2840*f**3 - 2835*f**2 = 0.
-567, -1, 0
Solve -486*d**5 + 16632*d**4 - 85200*d**3 + 14080*d**2 + 19616*d + 2688 = 0.
-2/9, 2/3, 6, 28
Factor -3*f**3 + 1083*f**2 - 2157*f + 1077.
-3*(f - 359)*(f - 1)**2
Solve -u**3 + 2890*u**2 - 443200*u + 17472000 = 0.
80, 2730
Factor 2*d**2/7 + 73940*d/7 + 683390450/7.
2*(d + 18485)**2/7
Determine b so that -2*b**3/3 - 139174*b**2/3 - 2420827312*b/3 + 12107616160/3 = 0.
-34796, 5
Solve -3*v**3 - 55818*v**2 + 111657*v + 167472 = 0 for v.
-18608, -1, 3
Let -2*t**2/5 - 8052*t/5 - 8042 = 0. Calculate t.
-4021, -5
Factor 2*k**2/11 + 4676*k/11 + 41922/11.
2*(k + 9)*(k + 2329)/11
Factor 3*i**4 + 3*i**3.
3*i**3*(i + 1)
Factor 15*y**2 + 139495*y + 92990.
5*(y + 9299)*(3*y + 2)
Factor -j**3/8 + 519*j**2/8 + 734*j - 5565/2.
-(j - 530)*(j - 3)*(j + 14)/8
Solve -r**3/3 - 122*r**2/3 - 232*r/3 + 320 = 0.
-120, -4, 2
Solve -2*i**5/11 + 206*i**4/11 - 472*i**3 = 0 for i.
0, 44, 59
Factor -3*g**2 - 186*g - 1296.
-3*(g + 8)*(g + 54)
Suppose -2*j**2/5 - 164980*j + 1649808/5 = 0. What is j?
-412452, 2
Solve -4*s**4 - 488*s**3 - 8532*s**2 - 38448*s - 51408 = 0 for s.
-102, -14, -3
Determine b, given that 2*b**5 + 36*b**4 + 76*b**3 - 1624*b**2 - 8526*b - 6860 = 0.
-10, -7, -1, 7
Factor 2*k**2 - 36040*k + 108102.
2*(k - 18017)*(k - 3)
Factor -2*v**2/13 - 174570*v/13 + 1047492/13.
-2*(v - 6)*(v + 87291)/13
Suppose -4*m**3 + 52*m**2 + 208*m - 256 = 0. Calculate m.
-4, 1, 16
What is g in g**3/4 + 1992*g**2 + 15924*g + 31840 = 0?
-7960, -4
What is c in -c**4 + 52878*c**3 - 699126469*c**2 + 2795871372*c - 2795659876 = 0?
2, 26437
Suppose -4*j**2 + 4684*j + 432408 = 0. Calculate j.
-86, 1257
Solve -20*v**3 + 22405*v**2 - 5510*v - 100800 = 0.
-2, 9/4, 1120
Find v such that -v**2/3 + 1391*v/3 + 41180/3 = 0.
-29, 1420
Let -3*p**2 - 35565*p + 35568 = 0. Calculate p.
-11856, 1
Factor 3*i**3/5 - 426*i**2 - 12*i/5 + 1704.
3*(i - 710)*(i - 2)*(i + 2)/5
Suppose -3*h**4 - 65958*h**3 - 360885447*h**2 + 18168131100*h - 227618107500 = 0. What is h?
-11018, 25
Let -17*o**2 + 176*o - 60 = 0. What is o?
6/17, 10
What is q in -4*q**5 + 884*q**4 - 844*q**3 - 7876*q**2 - 9664*q - 3520 = 0?
-1, 4, 220
Determine a, given that 3*a**5 - 537*a**4 + 5145*a**3 - 12675*a**2 = 0.
0, 5, 169
Factor -3*o**4 + 1359*o**3 - 189819*o**2 + 5521173*o + 375595290.
-3*(o - 161)**3*(o + 30)
What is d in 3*d**3 + 5061*d**2 + 231510*d + 442800 = 0?
-1640, -45, -2
Let 5*u**3/2 + 4786*u**2 + 11474*u + 3824 = 0. Calculate u.
-1912, -2, -2/5
Find d, given that -5*d**3 - 27480*d**2 - 37647360*d + 302940160 = 0.
-2752, 8
Let l**4/3 + 29*l**3 + 206*l**2 - 6748*l/3 - 5096 = 0. What is l?
-78, -14, -2, 7
Suppose d**3 + 2612*d**2 - 7843*d + 5230 = 0. What is d?
-2615, 1, 2
Let -37*z**3 - 597627*z**2/4 - 301656771*z/2 - 12229083/4 = 0. Calculate z.
-2019, -3/148
Factor 4*f**2 + 303792*f + 5768098704.
4*(f + 37974)**2
Find m such that m**5 - 41*m**3 + 400*m = 0.
-5, -4, 0, 4, 5
Determine f, given that 5*f**2 + 260035*f = 0.
-52007, 0
Find q such that 4*q**4 - 128*q**3 + 1192*q**2 - 4128*q + 4788 = 0.
3, 7, 19
Factor 2*l**2 + 53716*l - 376110.
2*(l - 7)*(l + 26865)
Suppose -4*u**4 - 29480*u**3 - 54021300*u**2 + 1089286000*u - 5461210000 = 0. Calculate u.
-3695, 10
Let 2*l**5/3 - 110*l**4/3 - 230*l**3/3 + 110*l**2/3 + 76*l = 0. What is l?
-2, -1, 0, 1, 57
Factor -2*j**2 + 57444*j - 412476642.
-2*(j - 14361)**2
Determine j so that 3*j**4 + 10578*j**3 + 9313896*j**2 - 18754848*j - 74680704 = 0.
-1764, -2, 4
Factor -3*p**2/4 - 594159*p - 117674972427.
-3*(p + 396106)**2/4
Solve 2*b**2 + 23740*b + 70448450 = 0.
-5935
Solve -4*z**3 - 29472*z**2 - 54316884*z - 108515912 = 0.
-3683, -2
Determine u, given that -u**4/3 + 37*u**3/3 - 277*u**2/3 + 57*u + 162 = 0.
-1, 2, 9, 27
Factor -4*h**3 + 824100*h**2 + 3296448*h + 3296464.
-4*(h - 206029)*(h + 2)**2
Let -n**3 - 7*n**2 + 16*n + 112 = 0. What is n?
-7, -4, 4
Factor -l**3/2 - 12491*l**2/2 - 38987527*l/2 + 117075027/2.
-(l - 3)*(l + 6247)**2/2
Suppose 4*w**3 - 2624*w**2 - 156352*w - 2232832 = 0. What is w?
-28, 712
Factor -m**3 - 314*m**2 - 23865*m.
-m*(m + 129)*(m + 185)
Factor -5*k**3/2 + 4399*k**2 - 1621792*k - 286054656.
-(k - 944)**2*(5*k + 642)/2
Factor n**4 - 570*n**3 + 84025*n**2 - 798000*n + 1960000.
(n - 280)**2*(n - 5)**2
Factor 13988*a**2 + 16*a.
4*a*(3497*a + 4)
Let -5*u**4 - 2590*u**3 - 308505*u**2 + 6967100*u - 36180500 = 0. Calculate u.
-269, 10
Factor d**3/4 + 1225*d**2/4 + 93328*d - 282747.
(d - 3)*(d + 614)**2/4
Factor -90*s**2 - 8877*s + 3267.
-3*(s + 99)*(30*s - 11)
Factor 2*b**3/5 - 5142*b**2/5 + 5128*b/5 + 6168.
2*(b - 2570)*(b - 3)*(b + 2)/5
Factor -2*m**3/15 - 101428*m**2/5 + 608576*m/15.
-2*m*(m - 2)*(m + 152144)/15
Factor -2*l**2/15 + 3946*l/5 - 11836/15.
-2*(l - 5918)*(l - 1)/15
Find t such that -t**2 - 80*t + 21809 = 0.
-193, 113
Determine q, given that -40*q**4 + 982*q**3 - 1546*q**2 - 1200*q + 1368 = 0.
-1, 3/4, 2, 114/5
Factor t**2/5 - 264278*t/5 + 17460715321/5.
(t - 132139)**2/5
Factor d**2/3 + 20923*d/9 - 1550.
(d + 6975)*(3*d - 2)/9
Factor n**2 - 1506*n - 1507.
(n - 1507)*(n + 1)
Factor 2*y**5 - 890*y**4 - 2682*y**3 - 2686*y**2 - 896*y.
2*y*(y - 448)*(y + 1)**3
What is c in 3*c**3 - 339*c**2 - 687*c - 345 = 0?
-1, 115
Factor 2*u**3/5 - 6*u**2/5 - 1586*u/5 + 1566.
2*(u - 27)*(u - 5)*(u + 29)/5
Suppose 27*v**5 + 789*v**4 + 6168*v**3 + 5