**2 - 8400*a - 21168.
4*(a - 18)*(a + 6)*(a + 7)**2
Factor -h**3/2 + 49*h**2 - 1271*h/2 + 1079.
-(h - 83)*(h - 13)*(h - 2)/2
Factor -2*u**3 - 22680*u**2 - 136024*u - 181344.
-2*(u + 2)*(u + 4)*(u + 11334)
Find o, given that -2*o**2 + 46804*o - 273826802 = 0.
11701
Factor 3*c**2/8 - 3993*c/8 + 661365/4.
3*(c - 710)*(c - 621)/8
Solve 2*x**2/5 + 81472*x/5 = 0 for x.
-40736, 0
Suppose 3*f**4 - 240*f**3 - 5163*f**2 + 53784*f - 48384 = 0. What is f?
-24, 1, 7, 96
Find j, given that 324*j**5 - 26820*j**4 + 492340*j**3 - 361340*j**2 - 98680*j - 5824 = 0.
-1/9, 1, 26, 56
Factor 4*q**3 - 24*q**2 - 204*q + 1120.
4*(q - 8)*(q - 5)*(q + 7)
Suppose 3*c**2 + 909*c - 23544 = 0. What is c?
-327, 24
Determine i so that -20*i**2 - 85528*i - 34208 = 0.
-4276, -2/5
Factor 2*f**2 - 44122*f + 44120.
2*(f - 22060)*(f - 1)
What is x in -3*x**2/7 + 48243*x/7 - 48240/7 = 0?
1, 16080
Factor 40635*i**2/2 + 121839*i/2 - 99.
3*(i + 3)*(13545*i - 22)/2
Factor -5*y**3 + 2110*y**2 - 2075*y - 12630.
-5*(y - 421)*(y - 3)*(y + 2)
Find z, given that -3*z**2 - 207144*z - 3575719728 = 0.
-34524
Factor p**3 + 532*p**2 - 1071*p - 1602.
(p - 3)*(p + 1)*(p + 534)
Factor -2555*h**2/4 - 28103*h/4 + 11/2.
-(h + 11)*(2555*h - 2)/4
Factor -2*l**2/11 - 11240*l/11 - 44928/11.
-2*(l + 4)*(l + 5616)/11
Find q such that 2*q**4 - 10040*q**3 + 60192*q**2 - 120352*q + 80224 = 0.
2, 5014
Factor -p**3/2 + 55*p**2/2 + 306*p - 1152.
-(p - 64)*(p - 3)*(p + 12)/2
Suppose -2*r**3/9 - 298*r**2/3 - 32234*r/3 + 721406/9 = 0. What is r?
-227, 7
Factor -h**4 - 391*h**3 - 50223*h**2 - 2124297*h - 2074464.
-(h + 1)*(h + 96)*(h + 147)**2
What is p in -10*p**5/3 - 54704*p**4/3 - 349840*p**3/3 - 786944*p**2/3 - 699424*p/3 - 174848/3 = 0?
-5464, -2, -2/5
Factor -2*j**3/7 + 492032*j**2/7.
-2*j**2*(j - 246016)/7
Factor -345*j**4 + 1700*j**3 + 125*j**2.
-5*j**2*(j - 5)*(69*j + 5)
Let -3*l**4/8 + l**3 + 41*l**2/8 - 15*l/4 = 0. What is l?
-3, 0, 2/3, 5
Determine w, given that -8988004*w**4/5 - 143904*w**3/5 - 576*w**2/5 = 0.
-12/1499, 0
Factor r**2/3 - 1375*r/3 - 1376/3.
(r - 1376)*(r + 1)/3
Factor -a**4/6 - 3*a**3/2 + 101*a**2/3 - 60*a.
-a*(a - 9)*(a - 2)*(a + 20)/6
Suppose n**5/6 + 164*n**4/3 + 325*n**3/2 = 0. Calculate n.
-325, -3, 0
Factor 4*l**2 + 12464*l + 99456.
4*(l + 8)*(l + 3108)
Factor -n**2/2 - 2219*n + 4439/2.
-(n - 1)*(n + 4439)/2
Solve -t**3 + 100118*t**2 + 100119*t = 0 for t.
-1, 0, 100119
Determine o, given that 28*o**4 - 172192*o**3 + 295116*o**2 - 73768*o - 49184 = 0.
-2/7, 1, 6148
What is b in 996*b**5 + 18932*b**4 + 56924*b**3 - 173844*b**2 + 96208*b + 784 = 0?
-14, -7, -2/249, 1
Find h such that 3*h**2/2 - 18192*h + 55158144 = 0.
6064
Find l such that l**4/2 - 117*l**3 + 14577*l**2/2 - 136826*l = 0.
0, 43, 148
Suppose -11*y**3/4 + 501*y**2/2 + 4089*y/4 - 95 = 0. Calculate y.
-4, 1/11, 95
Solve -15*h**5 + 685*h**4/2 - 2020*h**3 + 3855*h**2 + 495*h - 11475/2 = 0 for h.
-1, 17/6, 3, 15
Determine p, given that 3*p**4 + 27396*p**3 + 62517666*p**2 - 125117532*p + 62572467 = 0.
-4567, 1
Solve -2*z**5/5 - 502*z**4/5 - 11312*z**3/5 - 95968*z**2/5 - 70144*z - 464896/5 = 0 for z.
-227, -8, -4
Determine b, given that 2*b**2/19 - 144*b/19 - 146/19 = 0.
-1, 73
Factor -11*h**2 - 45674*h - 8304.
-(h + 4152)*(11*h + 2)
Let -b**3 - 7*b**2 + 6716*b - 6708 = 0. Calculate b.
-86, 1, 78
Factor -i**4/3 + 1376*i**3/3 - 916*i**2.
-i**2*(i - 1374)*(i - 2)/3
Factor 2*c**4/3 + 5276*c**3 + 10018926*c**2 - 1660515480*c + 66036648600.
2*(c - 78)**2*(c + 4035)**2/3
Determine d so that 8*d**2 - 43370*d - 206188 = 0.
-19/4, 5426
Factor 3*d**3 - 54*d**2 - 705*d + 6552.
3*(d - 24)*(d - 7)*(d + 13)
Factor -3*u**3 - 26424*u**2.
-3*u**2*(u + 8808)
Factor 2*n**3/5 - 1934*n**2/5 + 384*n + 11592/5.
2*(n - 966)*(n - 3)*(n + 2)/5
Solve 5*v**5 - 565*v**4 + 3210*v**3 + 160*v**2 - 17120*v = 0.
-2, 0, 4, 107
Factor -5*c**3 + 217485*c**2 - 2364877515*c - 2365095005.
-5*(c - 21749)**2*(c + 1)
Let -20*w**5 - 308*w**4 - 420*w**3 + 5780*w**2 - 2920*w - 2112 = 0. Calculate w.
-11, -8, -2/5, 1, 3
Suppose 2*m**5/9 + 56*m**4/3 - 3224*m**3/9 + 20660*m**2/9 - 18350*m/3 + 50500/9 = 0. Calculate m.
-101, 2, 5
Let -2*n**2/3 - 590134*n/3 - 393420 = 0. What is n?
-295065, -2
Factor 2*h**2/5 + 4918004*h/5 + 3023345418002/5.
2*(h + 1229501)**2/5
Factor 2*f**4/5 - f**3/5 - 3*f**2/5 + f/5 + 1/5.
(f - 1)**2*(f + 1)*(2*f + 1)/5
Suppose -2*g**3/3 + 41068*g**2/3 - 82130*g/3 + 13688 = 0. Calculate g.
1, 20532
Suppose d**4/4 + 129689*d**3/2 + 16819236721*d**2/4 = 0. Calculate d.
-129689, 0
Factor -4*b**3/3 + 116*b**2/3 + 4*b/3 - 116/3.
-4*(b - 29)*(b - 1)*(b + 1)/3
Solve 4*b**2 - 21932*b + 131448 = 0 for b.
6, 5477
Factor -2*v**4/15 + 9634*v**3/15 - 19252*v**2/5 + 23096*v/3 - 76976/15.
-2*(v - 4811)*(v - 2)**3/15
Suppose -2*x**2/5 - 21610*x + 216108/5 = 0. Calculate x.
-54027, 2
Find p such that -15*p**3 + 51650*p**2 - 1247685*p - 854750 = 0.
-2/3, 25, 3419
Factor -492075*x**3 + 981720*x**2 + 4857*x + 6.
-3*(x - 2)*(405*x + 1)**2
Let 4*v**2/7 - 61940*v/7 - 930000/7 = 0. Calculate v.
-15, 15500
Determine k so that 4*k**2/3 + 11792*k/3 + 82348/3 = 0.
-2941, -7
Factor 4*c**3 - 868*c**2 - 1752*c.
4*c*(c - 219)*(c + 2)
Solve v**3 + 2012*v**2 - 10091*v - 12102 = 0 for v.
-2017, -1, 6
Factor w**3 - 226*w**2 + 7029*w - 6804.
(w - 189)*(w - 36)*(w - 1)
Let 3*q**2 + 2760714*q + 635128482483 = 0. Calculate q.
-460119
Solve 21*v**3/4 + 5826*v**2 - 361035*v/4 + 50625/2 = 0.
-1125, 2/7, 15
Factor j**5/7 + 26*j**4/7 + 132*j**3/7 + 248*j**2/7 + 160*j/7.
j*(j + 2)**3*(j + 20)/7
Find n, given that 27*n**3 + 1617*n**2 - 1827*n + 183 = 0.
-61, 1/9, 1
What is o in -2*o**2/11 - 5354*o/11 + 32196/11 = 0?
-2683, 6
Factor -3*r**3/8 - 375*r**2/4 + 448725*r/8 - 5045250.
-3*(r - 155)**2*(r + 560)/8
Determine b so that -4*b**3/9 - 260*b**2/9 + 85892*b/9 + 807908 = 0.
-109, 153
What is v in 4*v**2 + 6204*v - 6208 = 0?
-1552, 1
Suppose 18*x**3 - 506847*x**2 + 3568012812*x - 594654723 = 0. Calculate x.
1/6, 14079
Factor -d**4/3 + 1408*d**3/3 + 5664*d**2 + 68096*d/3 + 90880/3.
-(d - 1420)*(d + 4)**3/3
Find l such that -2*l**4/7 + 18*l**3/7 + 108*l**2/7 - 512*l/7 - 2112/7 = 0.
-4, 6, 11
Factor -4*c**2/7 + 9808*c/7 + 9812/7.
-4*(c - 2453)*(c + 1)/7
Find x such that -4*x**5/3 - 304*x**4/3 - 2464*x**3 - 79360*x**2/3 - 385600*x/3 - 224000 = 0.
-42, -10, -4
Factor l**2/2 - 3523*l - 7048.
(l - 7048)*(l + 2)/2
Factor -2*a**4/9 - 22240*a**3/3 - 14826*a**2 - 66716*a/9.
-2*a*(a + 1)**2*(a + 33358)/9
What is h in -2*h**4/11 + 1644*h**3/11 + 4968*h**2/11 - 14796*h/11 - 4050 = 0?
-3, 3, 825
Factor -2*t**2 - 33134*t + 66276.
-2*(t - 2)*(t + 16569)
Determine h so that 6*h**5 + 466*h**4 + 12114*h**3 + 107942*h**2 + 62880*h - 33408 = 0.
-29, -24, -1, 1/3
Determine y so that 7*y**3/3 + 507*y**2/2 - 3653*y/6 + 185 = 0.
-111, 5/14, 2
Factor 4*n**3/9 - 58756*n**2/9 - 940864*n/9 - 3764480/9.
4*(n - 14705)*(n + 8)**2/9
Factor -5*f**3 - 3940*f**2 - 803025*f - 10483830.
-5*(f + 14)*(f + 387)**2
Factor 3*p**3 + 3291*p**2 + 19665*p + 29457.
3*(p + 3)**2*(p + 1091)
Determine l so that -3*l**2 + 339078*l - 9581157507 = 0.
56513
Factor -l**3 + 1093*l**2 + 49544*l + 550308.
-(l - 1137)*(l + 22)**2
Suppose -4*b**4 + 7488*b**3 + 143396*b**2 + 605520*b - 756400 = 0. Calculate b.
-10, 1, 1891
Determine x so that 3*x**3/5 - 2712*x**2 + 162396*x/5 - 486864/5 = 0.
6, 4508
Factor 4*a**5 - 2684*a**4 - 18984*a**3.
4*a**3*(a - 678)*(a + 7)
Let -1208*s**5 + 4388*s**4 + 7594*s**3 + 3299*s**2 + 175*s - 100 = 0. Calculate s.
-1/2, 20/151, 5
Factor -k**3/2 + 591*k**2 - 154878*k - 11993404.
-(k - 622)**2*(k + 62)/2
Factor b**3/6 + 21343*b**2/6 + 42680*b/3 + 14226.
(b + 2)**2*(b + 21339)/6
What is x in 5*x**2 - 111040*x - 222100 = 0?
-2, 22210
Factor -2*o**2/7 + 1979696*o/7 - 489899531552/7.
-2*(o - 494924)**2/7
Factor -3*j**2/5 + 570*j + 227328/5.
-3*(j - 1024)*(j + 74)/5
Factor v**2 - 99449*v/3 + 66298/3.
(v - 33149)*(3*v - 2)/3
Find f such that 14*f**4/3 - 1457*f**3/6 + 2188*f**2 + 14093*f/6 - 260/3 = 0.
-1, 1/28, 13, 40
Suppose -60*t**3 + 431*t**2 - 797*t + 132 = 0. Calculate t.
11/60, 3, 4
Factor s**2/9 - 279418*s/9 + 19518604681/9.
(s - 139709)**2/9
Factor -4*y**3 - 508*y**2 + 2664*y + 3168.
-4*(y - 6)*(y + 1)*(y + 132)
Factor -5*w**3 + 226130*w**2 + 452280*w.
-5*w*(w - 45228)*(w + 2)
Let -n**4/9 - 82*n**3/3 + 25045*n**2/9 - 24466*n/3 + 5400 =