.
-1, 4, 621
Factor l**4 + 18*l**3 - 23*l**2 - 936*l + 2704.
(l - 4)**2*(l + 13)**2
Suppose -2*j**3 - 2594*j**2 - 75958*j + 78554 = 0. What is j?
-1267, -31, 1
Solve -5*l**3/9 + 892*l**2/9 + 24743*l/9 + 45878/9 = 0.
-113/5, -2, 203
Find c such that -3*c**4 - 1923*c**3 + 1926*c**2 = 0.
-642, 0, 1
Let 25*g**4/8 + 11766595*g**3/8 + 1176658*g**2 + 470663*g/2 = 0. Calculate g.
-470663, -2/5, 0
Factor 2*f**4 - 12892*f**3 + 20762562*f**2 + 41563808*f + 20788352.
2*(f - 3224)**2*(f + 1)**2
Let -2*b**5 - 32*b**4 + 254*b**3 - 220*b**2 = 0. What is b?
-22, 0, 1, 5
Factor -d**3 + 380*d**2.
-d**2*(d - 380)
Factor 53505*j**2 + 374523*j/7 - 12/7.
3*(j + 1)*(124845*j - 4)/7
Determine j, given that 16*j**4 + 3796*j**3 - 26508*j**2 - 38096*j - 7808 = 0.
-244, -1, -1/4, 8
Factor -y**2 - 6272*y - 18807.
-(y + 3)*(y + 6269)
Let -a**3/12 + 40343*a**2/6 - 1627557649*a/12 = 0. Calculate a.
0, 40343
Determine b, given that 551*b**4/3 - 1656*b**3 + 4516*b**2/3 - 96*b = 0.
0, 2/29, 18/19, 8
Suppose 2*j**3/7 + 228*j**2/7 - 4640*j/7 + 2112 = 0. Calculate j.
-132, 4, 14
Let -2*h**4/13 - 73542*h**3/13 - 147078*h**2/13 - 73538*h/13 = 0. Calculate h.
-36769, -1, 0
Determine v, given that 2*v**2 - 14284*v + 71370 = 0.
5, 7137
Factor 5*s**2 - 665*s - 15300.
5*(s - 153)*(s + 20)
Determine s, given that 4*s**2 + 1324*s - 335328 = 0.
-499, 168
What is w in -5*w**2/4 - 1891*w/4 - 1131/2 = 0?
-377, -6/5
Let 4*h**5 + 348*h**4 + 2624*h**3 + 7712*h**2 + 10176*h + 5056 = 0. What is h?
-79, -2
Determine h so that -10*h**5/3 + 2944*h**4 + 205934*h**3/5 + 1011232*h**2/15 + 174584*h/5 + 28704/5 = 0.
-12, -1, -2/5, 897
Factor 9*d**5 - 1257*d**4 + 43680*d**3 + 14700*d**2.
3*d**2*(d - 70)**2*(3*d + 1)
Factor 3*t**3 + 1563*t**2 - 7908*t - 9468.
3*(t - 6)*(t + 1)*(t + 526)
Suppose -b**3 - 88158*b**2 - 1942958241*b = 0. What is b?
-44079, 0
Find i, given that -i**5/2 + 62*i**4 - 2399*i**3 + 29574*i**2 - 227529*i/2 = 0.
0, 9, 53
Solve -43*c**2/4 - 109*c/2 = 0 for c.
-218/43, 0
Factor 2*x**2/9 - 170*x/9 - 4136/3.
2*(x - 132)*(x + 47)/9
Factor 5*t**3 - 2190*t**2 + 132855*t + 135050.
5*(t - 365)*(t - 74)*(t + 1)
Factor w**2 - 434*w - 6735.
(w - 449)*(w + 15)
Solve -k**3/6 - 1433*k**2/6 - 715*k/3 + 1432/3 = 0.
-1432, -2, 1
Suppose -p**2/3 - 847*p/3 + 1706 = 0. Calculate p.
-853, 6
Suppose -3*j**3 - 143352*j**2 - 286695*j - 143346 = 0. What is j?
-47782, -1
Solve 4960*f**5 - 9915*f**4 - 99210*f**3 - 119140*f**2 - 120*f = 0 for f.
-2, -1/992, 0, 6
Factor -3*s**3/2 - 192*s**2 - 3744*s.
-3*s*(s + 24)*(s + 104)/2
Determine p so that 3*p**2 - 21726*p - 764085 = 0.
-35, 7277
What is r in 2*r**4/13 - 230*r**3/13 + 9918*r**2/13 - 190066*r/13 + 1365784/13 = 0?
28, 29
Determine f so that 2*f**3/9 - 28*f**2/3 - 13022*f/9 + 1456 = 0.
-63, 1, 104
What is y in 3*y**3 + 450*y**2/7 - 396*y - 7176/7 = 0?
-26, -2, 46/7
Factor 21*i**2 - 341991*i + 97710.
3*(i - 16285)*(7*i - 2)
Suppose -3*x**2 + 938781*x - 2816316 = 0. What is x?
3, 312924
Find r such that 5*r**3 + 7335*r**2 + 72975*r + 182125 = 0.
-1457, -5
Factor -2*n**2 + 3168*n - 3166.
-2*(n - 1583)*(n - 1)
Let 5*l**4 + 100*l**3 - 610*l**2 + 420*l + 1125 = 0. What is l?
-25, -1, 3
Factor -5*b**3 + 525*b**2 + 29000*b.
-5*b*(b - 145)*(b + 40)
Factor -5*p**3 + 1820*p**2 - 180785*p + 2693610.
-5*(p - 173)**2*(p - 18)
Factor -3092*r**2 - 37128*r - 288.
-4*(r + 12)*(773*r + 6)
Factor w**2/4 - 785*w/4 - 6817/2.
(w - 802)*(w + 17)/4
Determine i, given that i**3 - 2471*i**2 + 19720*i - 39408 = 0.
4, 2463
Let 3*i**4 - 5067*i**3 + 90477*i**2 - 406377*i + 541404 = 0. What is i?
3, 12, 1671
Factor -4*r**3 + 164708*r**2 - 3622124*r + 19919020.
-4*(r - 41155)*(r - 11)**2
Let 10*k**5/13 - 658*k**4/13 - 9622*k**3/13 + 634*k**2 + 156*k = 0. Calculate k.
-13, -1/5, 0, 1, 78
Suppose 45*u**3/4 - 120065*u**2/2 + 293435*u/4 - 26675/2 = 0. What is u?
2/9, 1, 5335
Factor -3*j**3 + 288*j**2 + 1215*j - 32076.
-3*(j - 99)*(j - 9)*(j + 12)
Solve -3*s**3 - 239307*s**2 + 717942*s - 478632 = 0 for s.
-79772, 1, 2
Factor -4*d**3 + 833852*d**2 - 43457239292*d + 43456405444.
-4*(d - 104231)**2*(d - 1)
Factor -k**2/7 - 244338*k/7 - 244337/7.
-(k + 1)*(k + 244337)/7
Suppose 140*h**5 - 199096*h**4 + 70596372*h**3 + 133622488*h**2 + 74993536*h + 12166656 = 0. What is h?
-1, -3/5, -2/7, 712
Find t such that -2*t**5/3 - 186*t**4 - 15684*t**3 - 1136276*t**2/3 - 2854502*t - 2491242 = 0.
-123, -19, -13, -1
Factor 3*z**2 - 7905*z - 280350.
3*(z - 2670)*(z + 35)
Suppose -p**3 - 1221*p**2 - 389784*p - 10301264 = 0. What is p?
-596, -29
Factor -20*k**2/11 + 14158*k/11 + 14178/11.
-2*(k + 1)*(10*k - 7089)/11
Determine b, given that 12*b**3 + 1689*b**2 - 39063*b + 9660 = 0.
-161, 1/4, 20
Let -5*n**2 + 879975*n - 1759930 = 0. Calculate n.
2, 175993
Suppose 745*l**3 + 73000*l**2 - 74735*l + 990 = 0. Calculate l.
-99, 2/149, 1
Find i, given that i**5/3 - 28*i**4/3 - 4358*i**3/3 - 23436*i**2 + 83607*i = 0.
-31, 0, 3, 87
Solve -6*b**5 + 7505*b**4/2 - 25515*b**3/2 + 4040*b**2 + 1866*b = 0 for b.
-1/4, 0, 2/3, 3, 622
Suppose 2*a**5/3 + 13402*a**4/3 + 9981508*a**3 + 22328561948*a**2/3 + 44447780146*a/3 - 22268766674 = 0. Calculate a.
-2233, -3, 1
Find p such that p**2 - 46*p - 117807 = 0.
-321, 367
Solve 2*d**3/11 + 8*d**2/11 - 248*d/11 + 448/11 = 0.
-14, 2, 8
Determine q so that -4*q**5/5 - 116*q**4/5 - 128*q**3 + 3056*q**2/5 - 512*q/5 - 4096/5 = 0.
-16, -1, 2
Determine h, given that -2*h**5/3 + 464*h**4/3 + 7462*h**3 = 0.
-41, 0, 273
What is h in -3*h**4/5 + 115416*h**3/5 - 221968044*h**2 - 4441207728*h/5 = 0?
-4, 0, 19238
Determine l so that -9*l**4 + 39138*l**3 + 13053*l**2 - 26094*l = 0.
-1, 0, 2/3, 4349
What is f in 1165*f**3 + 16300*f**2 - 140*f = 0?
-14, 0, 2/233
Solve 102*k**5/13 + 2606*k**4/13 + 11558*k**3/13 + 4554*k**2/13 - 4100*k/13 + 400/13 = 0 for k.
-20, -5, -1, 2/17, 1/3
Factor 5*m**4 + 255*m**3 + 455*m**2 - 1695*m + 980.
5*(m - 1)**2*(m + 4)*(m + 49)
Let -2*t**5/17 + 46*t**4/17 - 246*t**3/17 + 26*t**2/17 + 1016*t/17 - 840/17 = 0. What is t?
-2, 1, 2, 7, 15
Factor w**3 - 544*w**2 - 3316*w + 8800.
(w - 550)*(w - 2)*(w + 8)
Determine d, given that d**4 + 8*d**3 - 35*d**2 - 258*d - 216 = 0.
-9, -4, -1, 6
Solve -10*y**5/11 - 2098*y**4/11 + 201380*y**3/11 + 367988*y**2/11 + 123494*y/11 - 41026/11 = 0.
-281, -1, 1/5, 73
Let 14*c**5/3 - 1060*c**4/3 + 5858*c**3 - 60608*c**2/3 - 103448*c/3 - 8064 = 0. Calculate c.
-1, -2/7, 7, 16, 54
Determine w, given that -27*w**5/5 + 2556*w**4/5 + 9024*w**3/5 - 20094*w**2/5 + 10011*w/5 - 294 = 0.
-5, 1/3, 1, 98
Factor -5*x**4 - 440*x**3 - 11155*x**2 - 60400*x + 72000.
-5*(x - 1)*(x + 9)*(x + 40)**2
Find v such that -7*v**5/5 - 816*v**4/5 + 407*v**3 + 1428*v**2/5 = 0.
-119, -4/7, 0, 3
Determine u, given that 4*u**4 + 1864*u**3 + 192960*u**2 - 5811400*u - 6002500 = 0.
-245, -1, 25
Factor 2*n**3 + 63468*n**2 + 503205888*n - 5038407680.
2*(n - 10)*(n + 15872)**2
What is v in 3*v**4 - 120*v**3 + 219*v**2 + 342*v = 0?
-1, 0, 3, 38
Factor 6*m**2 + 291*m/4 + 9.
3*(m + 12)*(8*m + 1)/4
Factor 3*m**4 + 6219*m**3 + 6198*m**2 - 37296*m.
3*m*(m - 2)*(m + 3)*(m + 2072)
Factor 5*v**3 + 91925*v**2 + 422464315*v - 422556245.
5*(v - 1)*(v + 9193)**2
Let -5*z**5 - 2150*z**4 - 116505*z**3 - 330280*z**2 + 8540*z + 440400 = 0. Calculate z.
-367, -60, -2, 1
Factor -5*d**2 - 8735*d + 430800.
-5*(d - 48)*(d + 1795)
Factor -2*t**2/7 - 552*t + 181958.
-2*(t - 287)*(t + 2219)/7
Factor -f**4 + 4566*f**3 - 5189184*f**2 - 52349440*f.
-f*(f - 2288)**2*(f + 10)
Solve -2*r**2 - 2380*r + 19168 = 0 for r.
-1198, 8
Factor 3*d**4 - 324*d**3 + 13122*d**2 - 236196*d + 1594323.
3*(d - 27)**4
Determine f so that -5*f**4 + 184725*f**3 - 1705704395*f**2 - 8532401625*f - 6826512500 = 0.
-4, -1, 18475
Solve -2*i**5/11 + 540*i**4/11 - 8304*i**3/11 + 45088*i**2/11 - 97824*i/11 + 73152/11 = 0 for i.
2, 6, 254
Factor -2*n**3/5 - 91934*n**2/5 - 183862*n/5 - 18386.
-2*(n + 1)**2*(n + 45965)/5
Let 10*u**4 - 57724*u**3 + 416276562*u**2/5 + 666596752*u/5 + 266712608/5 = 0. Calculate u.
-4/5, 2887
What is r in r**5/2 - 22*r**4 + 439*r**3/2 + 288*r**2 - 486*r = 0?
-2, 0, 1, 18, 27
Find n such that 5*n**4 - 10*n**3 - 825*n**2 - 4370*n - 5600 = 0.
-7, -5, -2, 16
Suppose t**4/2 + 445*t**3 - 8073*t**2/2 + 8091*t = 0. What is t?
-899, 0, 3, 6
Find m, given that -3*m**2 + 3804*m - 11385 = 0.
3, 1265
Factor -y**3/2 + 87*y**2 - 3623*y/2 + 