54*z**2/3 - 39271*z/3 + 10305800/3.
(z - 227)**2*(z + 200)/3
Factor 2*z**2 - 1390*z - 117192.
2*(z - 771)*(z + 76)
Factor -k**2 - 100564*k - 2528279524.
-(k + 50282)**2
Determine w so that 2*w**2 - 2394*w - 9608 = 0.
-4, 1201
Factor -d**2/5 + 7417*d/5 - 22242/5.
-(d - 7414)*(d - 3)/5
Factor z**4/7 + 702*z**3/7 + 164964*z**2/7 + 13137938*z/7 + 37948011/7.
(z + 3)*(z + 233)**3/7
Suppose -5*z**2 - 1320*z + 31460 = 0. What is z?
-286, 22
Factor -2*n**3/5 - 96*n**2/5 - 918*n/5 + 5336/5.
-2*(n - 4)*(n + 23)*(n + 29)/5
Factor -4*i**2 - 2352*i - 103680.
-4*(i + 48)*(i + 540)
Let -5*q**2 + 57040*q - 57035 = 0. What is q?
1, 11407
Let 2*y**3/7 - 2*y**2/7 - 352*y/7 + 1920/7 = 0. What is y?
-15, 8
Factor -h**2/5 + 1498922*h/5 - 561691790521/5.
-(h - 749461)**2/5
Let 12*m**4 + 506472*m**3 + 1012911*m**2 + 633063*m + 126612 = 0. Calculate m.
-42204, -1, -1/2
Factor s**2 - 7923*s.
s*(s - 7923)
Let -d**4/6 + 67*d**3 - 6318*d**2 - 83835*d - 385641/2 = 0. What is d?
-9, -3, 207
Suppose -5*d**5 + 320*d**4 + 990*d**3 + 1000*d**2 + 335*d = 0. Calculate d.
-1, 0, 67
Factor -5*p**3 - 168520*p**2 - 337025*p - 168510.
-5*(p + 1)**2*(p + 33702)
What is k in -2*k**2/19 + 14414*k/19 + 28836/19 = 0?
-2, 7209
Determine j so that -2*j**5/15 - 56*j**4/15 - 168*j**3/5 - 380*j**2/3 - 590*j/3 - 100 = 0.
-15, -5, -2, -1
Factor -k**2/6 - 347*k/6 + 1095.
-(k - 18)*(k + 365)/6
Determine p so that -2*p**4/5 + 294*p**3/5 - 6664*p**2/5 = 0.
0, 28, 119
Factor 4*f**3 + 264*f**2 - 4992*f + 20992.
4*(f - 8)**2*(f + 82)
Factor 3*z**3 - 1473*z**2 + 5781*z + 30681.
3*(z - 487)*(z - 7)*(z + 3)
Solve z**2 + 1750*z + 24304 = 0 for z.
-1736, -14
Factor 3*a**2 - 15597*a + 31182.
3*(a - 5197)*(a - 2)
Suppose -3*j**4 + 5626*j**3 + 9389*j**2 - 7504*j - 7508 = 0. Calculate j.
-2, -2/3, 1, 1877
Factor -25*n**2 + 745*n - 4360.
-5*(n - 8)*(5*n - 109)
Find k, given that -2*k**4/5 + 10118*k**3/5 + 6*k**2/5 - 30358*k/5 + 20236/5 = 0.
-2, 1, 5059
Factor -2*w**3 + 148144*w**2 - 2743478730*w + 5486364900.
-2*(w - 37035)**2*(w - 2)
Factor -3*r**4/2 - 732*r**3 + 1467*r**2/2.
-3*r**2*(r - 1)*(r + 489)/2
Factor 2*b**4 - 260*b**3 + 998*b**2 + 1260*b.
2*b*(b - 126)*(b - 5)*(b + 1)
Find i such that 5*i**4/3 - 88*i**3/3 - 13211*i**2/3 - 68270*i/3 - 8400 = 0.
-40, -5, -2/5, 63
Factor -132*r**2 - 662*r - 10.
-2*(r + 5)*(66*r + 1)
What is r in 3*r**4/5 - 489*r**3/5 + 1917*r**2/5 - 1431*r/5 = 0?
0, 1, 3, 159
Find f such that -2*f**5/9 + 4*f**4/9 + 76*f**3/9 - 8*f**2/9 - 218*f/9 - 140/9 = 0.
-5, -1, 2, 7
Factor -2*s**3/5 + 45304*s**2/5 - 256556552*s/5.
-2*s*(s - 11326)**2/5
Factor 3*j**3 - 312*j**2 - 2295*j - 3996.
3*(j - 111)*(j + 3)*(j + 4)
Suppose -15*c**3 - 12414*c**2 + 42363*c - 14958 = 0. What is c?
-831, 2/5, 3
Factor -2*l**4 - 36728*l**3 + 73462*l**2 - 36732*l.
-2*l*(l - 1)**2*(l + 18366)
Factor z**4 + 111*z**3 + 1560*z**2 - 3572*z.
z*(z - 2)*(z + 19)*(z + 94)
Factor 26*v**2 - 2386*v - 552.
2*(v - 92)*(13*v + 3)
Factor -208*a**3 - 5834*a**2 - 41048*a - 1960.
-2*(a + 14)**2*(104*a + 5)
What is r in -2*r**2 + 370*r + 5572 = 0?
-14, 199
Determine t, given that t**2/2 - 66081*t + 4366698561/2 = 0.
66081
Let 4*l**5 + 228*l**4 - 2624*l**3 - 16800*l**2 - 28736*l - 14784 = 0. Calculate l.
-66, -2, -1, 14
Let -2*f**2/3 - 20*f/3 + 754 = 0. Calculate f.
-39, 29
Factor 2*y**2/7 - 2742*y - 288360/7.
2*(y - 9612)*(y + 15)/7
Factor -v**4/4 - 21*v**3/2 + 139*v**2/4 + 45*v.
-v*(v - 4)*(v + 1)*(v + 45)/4
Solve -2*j**3/7 + 48*j**2/7 + 7830*j/7 + 137924/7 = 0.
-29, 82
Find h, given that -2*h**2/7 + 3913888*h/7 - 1914814909568/7 = 0.
978472
Solve 2*s**3 - 270*s**2 + 1548*s = 0 for s.
0, 6, 129
Let 2*w**5/7 + 338*w**4/7 + 8880*w**3/7 - 909568*w**2/7 - 32253184*w/7 + 495164928/7 = 0. Calculate w.
-76, 12, 47
Solve -54*b**3 - 558999*b**2 - 11575564635*b/8 - 11571093075/8 = 0.
-62105/12, -1
What is u in 4*u**4 - 200*u**3 + 1008*u**2 + 14112*u = 0?
-6, 0, 14, 42
Solve 2*a**5/11 - 302*a**4/11 + 11546*a**3/11 - 10650*a**2/11 - 22500*a/11 = 0 for a.
-1, 0, 2, 75
Find f, given that 2*f**5/9 - 28*f**4/3 + 568*f**3/9 + 2228*f**2/9 + 802*f/3 + 832/9 = 0.
-1, 13, 32
Factor -k**2 + 879*k - 9548.
-(k - 868)*(k - 11)
What is i in 4*i**5/9 - 1312*i**4/9 - 5932*i**3/3 + 21712*i**2/9 + 38192*i/9 = 0?
-14, -1, 0, 2, 341
Suppose -d**2/2 + 161*d/2 - 2460 = 0. What is d?
41, 120
Factor -3*k**2 + 108846*k - 108843.
-3*(k - 36281)*(k - 1)
Suppose -2*x**4/9 + 1616*x**3/9 - 11242*x**2/9 + 22444*x/9 - 1424 = 0. Calculate x.
1, 2, 4, 801
Suppose -4*a**2 + 1947296*a - 1947292 = 0. What is a?
1, 486823
Find w such that 9*w**5 - 1974*w**4/5 - 24609*w**3/5 - 1266*w**2/5 + 24564*w/5 + 648 = 0.
-10, -1, -2/15, 1, 54
What is i in 3*i**2 - 1263*i + 90804 = 0?
92, 329
Determine l, given that 14*l**4 + 26*l**3 - 130*l**2 - 234*l + 36 = 0.
-3, -2, 1/7, 3
Factor 4*x**2 - 14332*x + 85848.
4*(x - 3577)*(x - 6)
What is d in 3*d**5/4 + 21*d**4/4 - 111*d**3/4 - 777*d**2/4 + 27*d + 189 = 0?
-7, -6, -1, 1, 6
Factor 5*s**2 + 215470*s + 2321366045.
5*(s + 21547)**2
Factor 3*h**4/4 + 270*h**3 + 51813*h**2/4.
3*h**2*(h + 57)*(h + 303)/4
Suppose -1029*m**5 - 71589*m**4 - 672084*m**3 + 1066704*m**2 - 438240*m + 54288 = 0. What is m?
-58, -13, 2/7, 6/7
Factor 5*j**2/2 - 61175*j + 748476125/2.
5*(j - 12235)**2/2
Factor -4*c**5 + 64*c**4 - 276*c**3 + 360*c**2.
-4*c**2*(c - 10)*(c - 3)**2
Suppose -3*z**5/8 - 375*z**4/8 + 579*z**3/4 + 183*z**2/2 - 573*z + 384 = 0. What is z?
-128, -2, 1, 2
Suppose y**5/5 + 28664*y**4/5 + 85986*y**3/5 + 85984*y**2/5 + 28661*y/5 = 0. What is y?
-28661, -1, 0
Factor z**3/12 - 5797*z**2/12 - 1450*z.
z*(z - 5800)*(z + 3)/12
Let 2*s**3/7 + 76*s**2 + 2518*s - 18160/7 = 0. What is s?
-227, -40, 1
Factor -27*k**3 + 25320*k**2 - 5933319*k - 1319766.
-3*(k - 469)**2*(9*k + 2)
What is l in 5*l**4 + 344880*l**3 + 2413955*l**2 + 2758680*l - 5517520 = 0?
-68969, -4, 1
Let -m**2/9 - 1688*m/9 - 18205/3 = 0. What is m?
-1655, -33
Factor -q**5 - 18*q**4 + 399*q**3 - 1568*q**2.
-q**2*(q - 7)**2*(q + 32)
Determine s so that 4*s**5/3 + 32*s**4 - 4144*s**3/3 + 35416*s**2/3 - 26268*s + 47432/3 = 0.
-49, 1, 2, 11
Factor 5*c**5 - 170*c**4 + 1260*c**3 - 3510*c**2 + 3375*c.
5*c*(c - 25)*(c - 3)**3
Factor -a**2/6 - 4907*a/6 + 191884/3.
-(a - 77)*(a + 4984)/6
Find m, given that m**2/4 + 71492*m = 0.
-285968, 0
Determine z so that -2*z**5/5 - 16*z**4 - 72*z**3/5 + 244*z**2/5 + 394*z/5 + 156/5 = 0.
-39, -1, 2
Determine g, given that 1156*g**5/11 + 4182*g**4/11 + 2214*g**3/11 + 218*g**2/11 + 6*g/11 = 0.
-3, -1/2, -1/17, 0
What is h in -40*h**3 - 706*h**2 - 2822*h - 2156 = 0?
-49/4, -22/5, -1
Factor -3*l**2/7 - 10992*l/7 - 765309/7.
-3*(l + 71)*(l + 3593)/7
Suppose -y**2 + 494*y + 1491 = 0. Calculate y.
-3, 497
Suppose -3*g**5/4 - 111*g**4/4 - 297*g**3/2 - 285*g**2 - 186*g = 0. Calculate g.
-31, -2, 0
Suppose 4*n**4/5 + 28868*n**3/5 + 52813212*n**2/5 + 2617438828*n/5 - 2670280912/5 = 0. What is n?
-3583, -52, 1
Factor -2*v**3 + 710*v**2 + 2168*v - 7160.
-2*(v - 358)*(v - 2)*(v + 5)
Determine x, given that -x**5/2 - 6*x**4 + 3*x**3/2 + 199*x**2 + 282*x - 1260 = 0.
-7, -6, 2, 5
Factor -5*x**5 - 65*x**4 + 430*x**3 + 1630*x**2 + 1735*x + 595.
-5*(x - 7)*(x + 1)**3*(x + 17)
Determine o so that -15*o**5 + 1805*o**4 - 54585*o**3 + 16195*o**2 + 54600*o - 18000 = 0.
-1, 1/3, 1, 60
Suppose -2*y**3/11 + 134*y**2/11 + 22*y - 1474 = 0. What is y?
-11, 11, 67
Factor l**3/9 + 86*l**2/3 - 29335*l/9 + 28552/3.
(l - 83)*(l - 3)*(l + 344)/9
Let p**5 + 2*p**4 - 72*p**3 - 128*p**2 + 512*p = 0. Calculate p.
-8, -4, 0, 2, 8
Factor -3*q**3/7 + 76875*q**2/7 - 492211296*q/7 - 492749568.
-3*(q - 12816)**2*(q + 7)/7
Factor t**2 - 659*t + 57720.
(t - 555)*(t - 104)
Let -2*j**4/9 - 706*j**3/9 + 2848*j**2/9 - 952*j/3 = 0. Calculate j.
-357, 0, 2
Suppose 2*q**2/7 + 43858*q/7 + 87708/7 = 0. What is q?
-21927, -2
Find q such that -2*q**2/5 - 5784*q/5 - 4181832/5 = 0.
-1446
Find f, given that -f**4/11 + 30594*f**3/11 - 21269783*f**2 - 468027012*f/11 - 234028804/11 = 0.
-1, 15298
Suppose t**3 + 31*t**2 - 410*t = 0. Calculate t.
-41, 0, 10
Factor -m**2 + 197*m + 600.
-(m - 200)*(m + 3)
Suppose -2*j**4/7 + 188*j**3/7 - 102*j**2 - 30448*j/7 + 30976/7 = 0. What is j?
-11, 1, 16, 88
Solve 2*h**4/19 - 162*h**3/19 + 2956*h**2/19 + 3120*h/19 = 0 for h.
-1, 0, 30, 52
Solve -f**3/9 - 1808*f**2 - 7354944*f = 0 for f.
-8136, 0
Factor 