109*y**3/2 + 101*y**2 + 420*y = 0 for y.
-12, -2, 0, 5, 7
Determine q so that -1457*q**5/4 - q**4/2 + 4371*q**3/4 + 730*q**2 + q = 0.
-1, -2/1457, 0, 2
Factor -220*r**3 - 428*r**2 + 7724*r - 420.
-4*(r - 5)*(r + 7)*(55*r - 3)
Determine m, given that m**4/5 + 138*m**3/5 + 1812*m**2/5 - 4042*m/5 + 2091/5 = 0.
-123, -17, 1
Factor 2*q**2/5 - 102*q + 3952/5.
2*(q - 247)*(q - 8)/5
Solve 4*t**4 - 60976*t**3 + 232257516*t**2 + 930310976*t - 1162507520 = 0 for t.
-5, 1, 7624
What is v in 2*v**5 - 308*v**4 + 9876*v**3 + 151808*v**2 + 550954*v + 578676 = 0?
-7, -3, -2, 83
Suppose o**2/9 + 4871*o/9 - 6500/3 = 0. What is o?
-4875, 4
Find y, given that -y**2 - 1073*y - 125020 = 0.
-940, -133
Factor 5*u**3 + 530*u**2 - 20555*u - 21080.
5*(u - 31)*(u + 1)*(u + 136)
Solve 7*n**3/5 - 109104*n**2/5 + 467468*n/5 - 124656/5 = 0 for n.
2/7, 4, 15582
Determine k, given that 2*k**5/13 + 146*k**4/13 - 2046*k**3/13 - 34*k**2 + 5828*k/13 + 4080/13 = 0.
-85, -1, 2, 12
Suppose -i**4/6 - 35*i**3/3 - 1433*i**2/6 - 4240*i/3 + 1664 = 0. Calculate i.
-39, -16, 1
Solve 15876*p**2 + 91224*p + 131044 = 0 for p.
-181/63
Find o, given that 2*o**2/21 - 1416*o/7 + 21190/21 = 0.
5, 2119
Solve 576*j**5 + 113120*j**4 + 156228*j**3 + 44424*j**2 - 7020*j = 0.
-195, -3/4, 0, 1/9
Factor 12*i**3 - 5140*i**2 + 11936*i - 3408.
4*(i - 426)*(i - 2)*(3*i - 1)
Solve -2*d**3 - 7866*d**2 - 7738176*d - 7730312 = 0.
-1966, -1
Suppose 16*m**4 - 76*m**3 - 372*m**2 + 808*m + 224 = 0. What is m?
-4, -1/4, 2, 7
Factor -2*v**4/7 + 290806*v**3/7 - 872406*v**2/7 + 872402*v/7 - 290800/7.
-2*(v - 145400)*(v - 1)**3/7
Factor 20*v**3 - 4676*v**2 + 4656*v.
4*v*(v - 1)*(5*v - 1164)
Let -3*y**3 + 15*y**2 + 5316*y + 15732 = 0. What is y?
-38, -3, 46
Factor -4*o**2/5 - 2685708*o/5 - 2685704/5.
-4*(o + 1)*(o + 671426)/5
Determine b so that -7236045*b**4 - 7260105*b**3 + 43392190*b**2 + 144340*b + 120 = 0.
-3, -2/1203, 2
Let -5*x**2 + 195*x - 1800 = 0. Calculate x.
15, 24
Determine z so that z**3/3 + 47*z**2/3 + 272*z/3 - 320/3 = 0.
-40, -8, 1
Find i, given that 10*i**3 - 1085*i**2 + 29805*i - 42300 = 0.
3/2, 47, 60
Let 5*b**5 + 10*b**4 - 1995*b**3 - 18940*b**2 - 29900*b = 0. Calculate b.
-13, -10, -2, 0, 23
Find k such that k**2/5 + 3616*k - 18081/5 = 0.
-18081, 1
Solve -g**4/7 + 229*g**3/7 - 12519*g**2/7 - 68445*g/7 = 0.
-5, 0, 117
Factor d**2/10 - 176094*d/5 + 15504548418/5.
(d - 176094)**2/10
Determine i, given that -i**5 - 2000*i**4 + 6034*i**3 + 50096*i**2 + 42063*i = 0.
-2003, -3, -1, 0, 7
Find d, given that -d**5/9 - 3466*d**4/9 - 3115489*d**3/9 - 64814200*d**2/3 - 349690000*d = 0.
-1700, -33, 0
Factor 2*q**2 + 2504*q + 7494.
2*(q + 3)*(q + 1249)
Find m, given that -3*m**3/5 + 294*m**2 + 27189*m/5 + 123444/5 = 0.
-9, 508
Let 3*p**3 + 71775*p**2 - 3*p - 71775 = 0. Calculate p.
-23925, -1, 1
Factor 2*f**4/5 + 6944*f**3/5 + 8322*f**2 + 62388*f/5.
2*f*(f + 3)**2*(f + 3466)/5
Suppose -v**4 - 28*v**3 - 246*v**2 - 828*v - 945 = 0. Calculate v.
-15, -7, -3
Let -o**4/5 + 19*o**3/5 + 338*o**2 + 2560*o - 21600 = 0. Calculate o.
-20, 5, 54
Determine d so that 3*d**5/2 - 213*d**4/2 + 3441*d**3/2 - 14055*d**2/2 - 12738*d + 18150 = 0.
-2, 1, 11, 50
Factor -r**4 + 11*r**3 + 42*r**2.
-r**2*(r - 14)*(r + 3)
Factor 3*a**3/5 + 465*a**2 - 2334*a/5 - 4656/5.
3*(a - 2)*(a + 1)*(a + 776)/5
Factor 2*p**3 - 508*p**2 + 27650*p.
2*p*(p - 175)*(p - 79)
Find b such that -4*b**3/7 - 576*b**2/7 + 1780*b/7 + 336 = 0.
-147, -1, 4
Factor 4*h**3 + 6540*h**2 + 19592*h + 13056.
4*(h + 1)*(h + 2)*(h + 1632)
Suppose -9*j**2 + 3838089*j - 1279362 = 0. Calculate j.
1/3, 426454
Factor 2*k**3/7 - 84*k**2 + 3474*k/7 - 5184/7.
2*(k - 288)*(k - 3)**2/7
Determine r, given that -3*r**2 - 126*r + 8424 = 0.
-78, 36
Factor -b**4/4 - 1295*b**3 - 1743013*b**2 - 170908920*b - 4354416144.
-(b + 52)**2*(b + 2538)**2/4
What is a in 2*a**5 - 40*a**4 - 756*a**3 - 488*a**2 + 3394*a - 2112 = 0?
-11, -3, 1, 32
Factor -s**3/6 - 5954*s**2/3 + 35745*s/2 - 35751.
-(s - 6)*(s - 3)*(s + 11917)/6
Find l such that 14*l**4/11 + 18978*l**3/11 - 5926*l**2 + 5682*l - 16308/11 = 0.
-1359, 3/7, 1, 2
Factor 15*z**2 - 748059*z + 448830.
3*(z - 49870)*(5*z - 3)
Let 5*w**2 - 456980*w + 2284775 = 0. Calculate w.
5, 91391
Solve -b**2/2 - 7030*b = 0.
-14060, 0
Determine i so that -i**2/2 - 1177*i/2 - 1175 = 0.
-1175, -2
Find i such that i**3 + 489*i**2 + 8838*i - 43240 = 0.
-470, -23, 4
Factor -5*z**3 + 359980*z**2 - 6481439360*z + 77725443840.
-5*(z - 35992)**2*(z - 12)
Find a, given that 3*a**2 - 53808*a + 53805 = 0.
1, 17935
Solve 2*o**3/5 - 348*o**2/5 - 514*o + 6516/5 = 0.
-9, 2, 181
Let -r**4 - 166*r**3 + 7803*r**2 - 89300*r + 148732 = 0. Calculate r.
-206, 2, 19
Determine c, given that 2*c**2/9 - 3538*c/9 = 0.
0, 1769
Let q**4/2 + 142311*q**3/2 + 2531659321*q**2 + 7594479882*q + 5062891716 = 0. Calculate q.
-71154, -2, -1
Solve -n**4/6 - 1235*n**3/6 - 6139*n**2/3 - 17162*n/3 - 4900 = 0.
-1225, -6, -2
Find s, given that s**3/7 + 282*s**2/7 + 4733*s/7 - 5016/7 = 0.
-264, -19, 1
Factor 7*m**3/2 - 63295*m**2/2 + 143085129*m/2 - 20439441/2.
(m - 4521)**2*(7*m - 1)/2
Solve -2*v**3/9 + 9208*v**2/9 - 18410*v/9 + 3068/3 = 0 for v.
1, 4602
Suppose y**2/4 + 5077*y/4 + 7611/2 = 0. Calculate y.
-5074, -3
Suppose 13*u**4/2 - 85*u**3 + 144*u**2 = 0. Calculate u.
0, 2, 144/13
Factor -2*w**4/3 + 1591844*w**3/3 - 140776139112*w**2 + 37349176690604380*w/3 - 37348754363778886/3.
-2*(w - 265307)**3*(w - 1)/3
Find w such that 4*w**2 + 9032*w + 80964 = 0.
-2249, -9
Find b, given that 2*b**4 - 648*b**3 + 34344*b**2 - 241984*b - 9010560 = 0.
-12, 38, 260
Suppose 40*k**4/7 + 4638*k**3/7 - 14432*k**2/7 + 10230*k/7 - 68 = 0. Calculate k.
-119, 1/20, 1, 2
Determine b, given that 182250*b**5 + 5564700*b**4 - 40794570*b**3 + 101117644*b**2 - 106871256*b + 40801232 = 0.
-37, 1, 82/45
Let 5445*q**4 + 73975*q**3 + 42090*q**2 + 8100*q + 520 = 0. Calculate q.
-13, -2/9, -2/11
Suppose 60*i**5 + 1263*i**4 + 8883*i**3 + 21021*i**2 + 1029*i = 0. Calculate i.
-7, -1/20, 0
Factor b**4/2 - 69*b**3/2 + 221*b**2 - 240*b - 496.
(b - 62)*(b - 4)**2*(b + 1)/2
Factor -4*v**2 + 512*v - 508.
-4*(v - 127)*(v - 1)
Find t, given that -t**5/6 - 2*t**4/3 + 89*t**3/6 + 86*t**2/3 - 1024*t/3 + 896/3 = 0.
-8, 1, 4, 7
Find c, given that -2*c**4/13 - 578*c**3/13 + 1760*c**2/13 + 2336*c/13 = 0.
-292, -1, 0, 4
Find f, given that 2*f**3/13 + 4622*f**2/13 - 9252*f/13 = 0.
-2313, 0, 2
Factor 7*h**3/5 - 786*h**2/5 - 7399*h/5 + 2178/5.
(h - 121)*(h + 9)*(7*h - 2)/5
Factor -2*i**2/3 - 206270*i/9 + 137516/9.
-2*(i + 34379)*(3*i - 2)/9
Suppose d**4 - 66622*d**3 + 1109422837*d**2 + 6658335924*d + 9988403364 = 0. Calculate d.
-3, 33314
Suppose -5*u**2/4 - 345*u + 6615 = 0. What is u?
-294, 18
Factor -p**4 - 31*p**3 + 44*p**2 + 384*p.
-p*(p - 4)*(p + 3)*(p + 32)
What is v in -2*v**2 + 6022*v - 6020 = 0?
1, 3010
Factor 200*t**2/21 + 610*t/7 - 92/21.
2*(5*t + 46)*(20*t - 1)/21
Factor 2*h**2/17 + 18988*h/17 - 628782/17.
2*(h - 33)*(h + 9527)/17
What is x in -4*x**3 + 8280*x**2 - 4920612*x + 631353536 = 0?
176, 947
Factor 5*l**2/3 - 528205*l - 1584620/3.
5*(l - 316924)*(l + 1)/3
Determine c so that -5*c**5 - 300*c**4 + 20280*c**3 - 114080*c**2 + 222960*c - 146880 = 0.
-102, 2, 36
Let -2*b**2/3 + 4548*b - 40878 = 0. What is b?
9, 6813
Determine f, given that 1550*f**5 - 35750*f**4/3 + 77806*f**3/3 - 13910*f**2 - 12568*f/3 + 7592/3 = 0.
-2/5, 2/5, 1, 73/31, 13/3
Let -683*y**4/2 - 2735*y**3/4 - 3*y**2/2 = 0. What is y?
-2, -3/1366, 0
Factor -1070*l**2 - 2146*l - 12.
-2*(l + 2)*(535*l + 3)
What is s in -3*s**2 - 1215*s + 1218 = 0?
-406, 1
Suppose p**3/3 - 82*p**2/3 + 219*p = 0. What is p?
0, 9, 73
Let 4*a**5 + 14168*a**4 + 12503116*a**3 - 75657496*a**2 - 113096048*a + 176236256 = 0. Calculate a.
-1774, -2, 1, 7
Factor -33065*m**2 + 33075*m - 10.
-5*(m - 1)*(6613*m - 2)
Factor -12*v**2 - 4987971*v - 1246992.
-3*(v + 415664)*(4*v + 1)
Factor p**2 + 9481*p - 66416.
(p - 7)*(p + 9488)
Factor 245*j**4/4 - 525*j**3/2 - 2935*j**2/4 + 2175*j + 4205.
5*(j + 2)**2*(7*j - 29)**2/4
Let 3*b**4 - 45*b**3 - 1524*b**2 + 3204*b + 60480 = 0. What is b?
-16, -6, 7, 30
Factor -3*f**2 - 13683*f - 461754.
-3*(f + 34)*(f + 4527)
Suppose -2060*a**2/3 + 51505*a/3 - 125/3 = 0. What is a?
1/412, 25
Determine g so that -g**5 - 82*g**4 + 985*g**3 + 64750*g**2 - 850644*g - 914328 = 0.
-83, -34,