916*h**3 + 780*h**2 = 0.
0, 1, 6, 130
Suppose 2*u**3/7 - 6*u**2/7 - 1728*u/7 + 21384/7 = 0. What is u?
-33, 18
Factor -4*z**4 - 51036*z**3 - 162817596*z**2 - 162766564*z.
-4*z*(z + 1)*(z + 6379)**2
Solve 2*u**3 - 5236*u**2/5 + 128088*u + 2391120 = 0 for u.
-82/5, 270
What is o in 5*o**3/3 + 290*o**2/3 + 2080*o/3 + 4000/3 = 0?
-50, -4
What is l in l**2/5 + 2024*l/5 - 540857/5 = 0?
-2263, 239
What is v in -2*v**2/11 - 170*v/11 - 3572/11 = 0?
-47, -38
Solve -261*n**2/8 + 6783*n/8 + 39/4 = 0 for n.
-1/87, 26
Factor -5*v**2 - 8095*v + 56910.
-5*(v - 7)*(v + 1626)
Let m**3 + 172*m**2 - 1084*m - 2848 = 0. Calculate m.
-178, -2, 8
Determine r so that -r**2 + 1145*r - 2286 = 0.
2, 1143
Factor -3*a**5 - 480*a**4 - 18714*a**3 + 38880*a**2 - 19683*a.
-3*a*(a - 1)**2*(a + 81)**2
Solve 2*g**4/5 + 46*g**3/5 + 204*g**2/5 = 0.
-17, -6, 0
What is r in r**2/5 + 62*r/5 + 817/5 = 0?
-43, -19
Factor 66*s**2/5 + 11547*s/5.
3*s*(22*s + 3849)/5
Factor -5*z**2 - 60*z.
-5*z*(z + 12)
Suppose 2*y**4/9 + 50*y**3/9 - 1016*y**2/9 - 1064*y/9 = 0. Calculate y.
-38, -1, 0, 14
Let -d**4 - 366*d**3 + 1476*d**2 - 1480*d = 0. Calculate d.
-370, 0, 2
Solve -o**2 + 22405*o/4 - 5601/4 = 0 for o.
1/4, 5601
Factor 4*k**3 - 100124*k**2 + 600600*k.
4*k*(k - 25025)*(k - 6)
Factor -m**3 - 796*m**2 - 179584*m - 8125440.
-(m + 60)*(m + 368)**2
Let 3*z**2/4 - 7269*z/4 = 0. What is z?
0, 2423
Factor 3*q**3 - 19143*q**2.
3*q**2*(q - 6381)
Determine h so that 3*h**4 + 144*h**3 + 2019*h**2 + 8118*h + 6240 = 0.
-26, -16, -5, -1
Suppose 4*j**5 - 32*j**4 - 160*j**3 + 248*j**2 + 732*j - 792 = 0. Calculate j.
-3, 1, 2, 11
What is x in 2*x**5/7 - 68*x**4/7 + 100*x**3 - 2104*x**2/7 + 2370*x/7 - 900/7 = 0?
1, 2, 15
Solve 4*a**2 - 7630568*a + 3639098000164 = 0 for a.
953821
Determine b so that b**5 - 480*b**4 + 74358*b**3 - 4109080*b**2 + 91014441*b - 698561640 = 0.
21, 40, 199
Suppose q**5/6 + 89*q**4/6 - 1395*q**3/2 - 269*q**2/6 + 6184*q/3 + 1394 = 0. What is q?
-123, -1, 2, 34
Factor -t**4/4 - 6321*t**3/2 - 39942397*t**2/4 + 19980681*t - 9991921.
-(t - 1)**2*(t + 6322)**2/4
Factor 49*w**3 - 29015*w**2 - 83200*w - 59500.
(w - 595)*(7*w + 10)**2
Factor -2*w**2 + 90*w + 1952.
-2*(w - 61)*(w + 16)
Let -79166307*n**2 + 3452064*n - 37632 = 0. Calculate n.
112/5137
Suppose -3*g**3 - 34395*g**2/2 - 24616044*g + 86366952 = 0. What is g?
-2868, 7/2
Solve -2*x**2/5 + 1116*x/5 - 666 = 0.
3, 555
Factor -3*s**2 + 33468*s + 167415.
-3*(s - 11161)*(s + 5)
Let -4*n**3 - 10024*n**2 + 50484*n + 662904 = 0. What is n?
-2511, -6, 11
Determine r, given that 3*r**4 + 516*r**3 - 2679*r**2 - 4104*r + 25488 = 0.
-177, -3, 4
Factor -3*k**3 - 54981*k**2 - 219888*k - 219876.
-3*(k + 2)**2*(k + 18323)
Factor r**2/4 + 1281*r/4 + 11989/2.
(r + 19)*(r + 1262)/4
Determine u, given that 5*u**3 - 17750*u**2 - 5*u + 17750 = 0.
-1, 1, 3550
Factor -25*h**4 + 261685*h**3 - 913088745*h**2 + 1062165672855*h - 424720191690.
-5*(h - 3489)**3*(5*h - 2)
Determine n so that 7*n**3 - 828*n**2 + 7796*n - 2160 = 0.
2/7, 10, 108
Let 2*w**4/11 - 168*w**3/11 + 46*w**2 + 12540*w + 48400 = 0. Calculate w.
-22, -4, 55
Factor -d**3/2 - 291*d**2/2 + 1346*d - 1200.
-(d - 8)*(d - 1)*(d + 300)/2
Factor -3*r**2 + 19512*r.
-3*r*(r - 6504)
What is w in -2*w**3/15 - 2782*w**2/15 - 73698*w - 30760182/5 = 0?
-639, -113
Let -2*u**4/5 + 546*u**3/5 - 3186*u**2/5 - 4914*u/5 + 28836/5 = 0. What is u?
-3, 3, 6, 267
Let 25*c**3/4 + 207085*c**2/4 + 3391151*c/4 + 13896827/4 = 0. Calculate c.
-8267, -41/5
Factor 4*d**3 - 5136*d**2 + 794640*d - 32897408.
4*(d - 1112)*(d - 86)**2
Factor -2*j**2 - 1840*j + 1842.
-2*(j - 1)*(j + 921)
Find u, given that -2*u**5 - 214*u**4 + 1402*u**3 + 5078*u**2 - 13496*u + 7232 = 0.
-113, -4, 1, 8
Suppose 5*k**5 + 6011*k**4/2 - 35729*k**3/2 + 50997*k**2/2 + 5463*k/2 = 0. Calculate k.
-607, -1/10, 0, 3
Let 2*z**5/13 + 406*z**4/13 + 14686*z**3/13 - 628414*z**2/13 + 1211136*z/13 - 597816/13 = 0. Calculate z.
-114, 1, 23
Factor -64*z**3 - 2448*z**2 - 25665*z - 42050.
-(z + 2)*(8*z + 145)**2
Factor -3*g**4 + 361599*g**3 + 723207*g**2 + 361605*g.
-3*g*(g - 120535)*(g + 1)**2
Determine a, given that 3*a**3/7 - 5211*a**2/7 + 143712*a/7 - 266604/7 = 0.
2, 26, 1709
Factor -4*f**2 - 159200*f - 1584040000.
-4*(f + 19900)**2
Factor 2*l**4 - 46*l**3 + 194*l**2 - 258*l + 108.
2*(l - 18)*(l - 3)*(l - 1)**2
Factor 2*a**4/15 - 946*a**3/5.
2*a**3*(a - 1419)/15
Suppose -x**5/2 + 81*x**4 - 3956*x**3 + 66888*x**2 - 222632*x + 208080 = 0. Calculate x.
2, 34, 90
Let -5*k**3 + 8765*k**2 + 43950*k = 0. What is k?
-5, 0, 1758
Factor -2*c**4/5 + 604*c**3 - 1518048*c**2/5 + 252999936*c/5 + 512096256/5.
-2*(c - 504)**3*(c + 2)/5
Factor -4*k**3 - 1548*k**2 + 7824*k - 6272.
-4*(k - 4)*(k - 1)*(k + 392)
Let -3*h**3 - 1218*h**2 - 34515*h - 253800 = 0. Calculate h.
-376, -15
Factor -2*b**3 + 934*b**2 - 1844*b - 7440.
-2*(b - 465)*(b - 4)*(b + 2)
Let 267*k**5/5 - 91851*k**4/5 + 1633926*k**3 - 46297734*k**2/5 + 38648103*k/5 - 85683 = 0. What is k?
1/89, 1, 5, 169
Suppose 3*b**3 - 118878*b**2 - 713361*b - 594480 = 0. What is b?
-5, -1, 39632
Solve -k**2/11 + 38993*k/11 - 38992/11 = 0.
1, 38992
Solve 4*i**2 - 5238016*i + 1714800726016 = 0 for i.
654752
Solve 5*j**2 + 2960150*j + 2960145 = 0 for j.
-592029, -1
Factor 2*k**3 + 15359*k**2/2 + 7355494*k - 31399714.
(k + 1922)**2*(4*k - 17)/2
Let -3*g**3/2 + 189*g**2 - 15795*g/2 + 109350 = 0. What is g?
36, 45
Find b such that b**4/10 + 57*b**3/2 - 861*b**2/10 + 863*b/10 - 144/5 = 0.
-288, 1
Factor -5*t**4 - 950*t**3 + 1364935*t**2 + 133955700*t - 99413460180.
-5*(t - 331)**2*(t + 426)**2
Suppose -j**5/2 - 13*j**4/2 + 567*j**3/2 + 7169*j**2/2 + 6295*j + 3000 = 0. What is j?
-25, -10, -1, 24
Determine s so that 5*s**3/4 - 370*s**2 + 35700*s - 1128960 = 0.
84, 128
What is s in 31443*s**2 + 94335*s + 18 = 0?
-3, -2/10481
Suppose g**4/6 + 94*g**3/3 + 1702*g**2 + 64672*g/3 + 236672/3 = 0. Calculate g.
-86, -8
Find i, given that 8*i**5 - 198*i**4 + 1186*i**3 + 1944*i**2 - 19872*i + 24192 = 0.
-4, 7/4, 3, 12
Find p, given that 9643*p**2/4 + 9647*p/4 + 1 = 0.
-1, -4/9643
Solve 20*o**4/9 - 722*o**3/9 - 2272*o**2/9 + 42*o + 52 = 0.
-3, -2/5, 1/2, 39
Solve 68*n**4 + 4358*n**3 - 8592*n**2 - 792*n = 0 for n.
-66, -3/34, 0, 2
Determine v, given that -2*v**3/5 + 74*v**2/5 + 2242*v/5 + 2166/5 = 0.
-19, -1, 57
Suppose -80*j**5 + 1872*j**4 + 156*j**3 - 22328*j**2 + 42684*j - 23184 = 0. Calculate j.
-4, 7/5, 3/2, 23
Determine p so that 5*p**5 - 690*p**4 + 33480*p**3 - 648970*p**2 + 3690675*p + 4373820 = 0.
-1, 12, 33, 47
Suppose -5*d**4 - 331170*d**3 - 5483016065*d**2 + 21936038460*d - 21937363220 = 0. Calculate d.
-33119, 2
Find l such that 5*l**3 + 2924465*l**2 + 427626239040*l + 427623314580 = 0.
-292446, -1
Factor -g**3 + 11243*g**2 - 31674215*g + 409866925.
-(g - 5615)**2*(g - 13)
Let -2730*w**3 - 111905*w**2 - 108175*w + 1000 = 0. Calculate w.
-40, -1, 5/546
Suppose -h**2/4 + 18509*h/4 + 18511/2 = 0. What is h?
-2, 18511
Let 4*b**2 - 40460*b - 80936 = 0. Calculate b.
-2, 10117
What is s in 2*s**2/13 - 310*s/13 + 9348/13 = 0?
41, 114
Factor -3*k**3 + 147*k**2 + 1080*k - 89424.
-3*(k - 36)**2*(k + 23)
Suppose -2*n**3 + 2320*n**2 - 20734*n + 18416 = 0. What is n?
1, 8, 1151
Let s**4/7 - 35089*s**3/7 + 596255*s**2/7 - 155321*s + 526080/7 = 0. What is s?
1, 15, 35072
Factor 3*r**2/2 + 8352*r.
3*r*(r + 5568)/2
Determine f so that f**2/3 - 1693*f/3 - 308594/3 = 0.
-166, 1859
Determine k, given that -4*k**2 - 394*k/7 - 4 = 0.
-14, -1/14
Factor -d**4/4 + 1079*d**3/4 - 9603*d**2/2 + 28701*d - 57294.
-(d - 1061)*(d - 6)**3/4
Factor -2*u**2/11 + 238156*u/11 - 238154/11.
-2*(u - 119077)*(u - 1)/11
Let -12*n**4/7 - 4*n**3/7 + 228*n**2/7 + 436*n/7 + 120/7 = 0. What is n?
-3, -2, -1/3, 5
Suppose -3*d**2/5 + 72*d - 2997/5 = 0. Calculate d.
9, 111
Suppose w**3/3 - 512*w**2 + 9185*w/3 - 2550 = 0. What is w?
1, 5, 1530
Factor 5*x**4 + 970*x**3 - 15360*x**2 + 65590*x - 51205.
5*(x - 7)**2*(x - 1)*(x + 209)
Factor -3*c**2/2 + 771*c/2 + 150165.
-3*(c - 470)*(c + 213)/2
Find h, given that -3*h**3 - 765*h**2 - 5184*h + 5952 = 0.
-248, -8, 1
Determine j, given that -j**2/4 + 3810*j - 14516100 = 0.
7620
Factor -2*w**4/3 - 32*w**3/3 - 56*w**2 - 96*w.
-2*w*(w + 4)*(w + 6)**2/3
Let 2*g**3/7 - 3236*g**2/7 + 9694*g/7 - 6460/7 = 0. What is g?
1, 2, 1615
Solve -2*y**2 - 6272*y + 1883