+ 106290*c**2 - 1701920*c.
5*c*(c - 16)*(c + 21274)
Determine x, given that 2*x**3/5 + 86*x**2/5 + 1192*x/5 + 1064 = 0.
-19, -14, -10
Solve 30*k**5 + 2315*k**4 + 58740*k**3 + 532655*k**2 + 898200*k + 422000 = 0.
-211/6, -20, -1
Let 3*h**3 + 18*h**2 - 705*h + 684 = 0. What is h?
-19, 1, 12
Factor 3*l**3 + 504*l**2 + 1977*l + 1476.
3*(l + 1)*(l + 3)*(l + 164)
Let 2*s**2 - 44866*s - 134616 = 0. What is s?
-3, 22436
Determine c, given that 14*c**4 - 173002*c**3/9 + 59300462*c**2/9 + 19195238*c/3 - 209764 = 0.
-1, 2/63, 687
Find z, given that -z**4/3 + 484*z**3 - 175692*z**2 = 0.
0, 726
Let 21*m**2 + 10707*m - 1530 = 0. What is m?
-510, 1/7
Let 3*l**2/4 + 141*l/4 - 65007/2 = 0. Calculate l.
-233, 186
Factor -2*k**3 - 1258*k**2 - 66118*k + 67378.
-2*(k - 1)*(k + 59)*(k + 571)
Factor v**4/9 + 37*v**3 + 1648*v**2/9 + 292*v + 1312/9.
(v + 1)*(v + 2)**2*(v + 328)/9
Find i, given that 2*i**5 + 108*i**4 + 114*i**3 - 43616*i**2 + 43680*i + 2822400 = 0.
-35, -8, 12
Suppose -r**3/7 - 2040*r**2/7 - 91884*r - 7930832 = 0. What is r?
-1676, -182
Factor h**4 + 23*h**3 + 128*h**2 + 268*h + 192.
(h + 2)**2*(h + 3)*(h + 16)
Let -2*o**3 + 2026*o**2 + 16336*o = 0. What is o?
-8, 0, 1021
Let v**2/2 - 712977*v/2 = 0. What is v?
0, 712977
Factor 2*a**3/5 + 114*a**2 - 23826*a/5 + 233206/5.
2*(a - 19)**2*(a + 323)/5
Let 2*l**4/15 - 812*l**3/5 + 328856*l**2/5 - 131856604*l/15 - 134838286/5 = 0. What is l?
-3, 407
Factor -2*h**3/15 - 2060636*h**2/15 - 35385035328*h + 70770620160.
-2*(h - 2)*(h + 515160)**2/15
Find d such that -2*d**4/3 - 3395*d**3/6 + 16327*d**2/2 - 181181*d/6 + 42287/6 = 0.
-863, 1/4, 7
Suppose 5*j**4/3 + 130*j**3 + 7175*j**2/3 + 7010*j - 28600/3 = 0. What is j?
-52, -22, -5, 1
Determine h, given that -2*h**4/9 - 140*h**3/3 - 29104*h**2/9 - 77724*h - 313470 = 0.
-81, -43, -5
Find p, given that 1719*p**5 + 105295*p**4 + 126310*p**3 - 180260*p**2 - 51624*p - 1440 = 0.
-60, -2, -2/9, -6/191, 1
Factor 3*n**2 + 38892*n + 126048972.
3*(n + 6482)**2
Factor -4*w**3 + 1173748*w**2/3 - 9567317760*w + 3189062448.
-4*(w - 48906)**2*(3*w - 1)/3
Find i such that -i**2/5 + 62*i + 11696/5 = 0.
-34, 344
Factor 2*l**2/19 - 1150*l/19 + 3992.
2*(l - 499)*(l - 76)/19
Suppose -3*g**4 + 13584*g**3 - 15404232*g**2 + 61454016*g - 61399728 = 0. What is g?
2, 2262
Solve 4*i**3 + 104*i**2 - 12884*i - 39480 = 0 for i.
-70, -3, 47
Find o such that 3*o**3 - 39429*o**2 + 129534120*o + 129573552 = 0.
-1, 6572
Factor o**2/4 - 5893*o + 34727449.
(o - 11786)**2/4
Find t, given that -2*t**2/3 - 5548*t/3 - 55280/3 = 0.
-2764, -10
Suppose 30*t**5 + 318425*t**4 + 844980510*t**3 + 140502820*t**2 - 844980540*t - 140821245 = 0. Calculate t.
-5307, -1, -1/6, 1
Determine k, given that -k**2/7 - 2097*k/7 - 2096/7 = 0.
-2096, -1
Find p such that -4*p**4 - 6516*p**3 - 19512*p**2 = 0.
-1626, -3, 0
Factor 3*q**4 - 1149*q**3 + 110529*q**2 - 86523*q - 2188860.
3*(q - 191)**2*(q - 5)*(q + 4)
Factor -4*n**2/5 + 3984*n/5 + 7984/5.
-4*(n - 998)*(n + 2)/5
Find i, given that 246*i**2 + 1234*i + 20 = 0.
-5, -2/123
Factor -4*f**2 + 1404*f + 57424.
-4*(f - 388)*(f + 37)
Factor 2*x**2 - 51*x - 81.
(x - 27)*(2*x + 3)
Determine j, given that -3*j**2 - 12*j + 38295 = 0.
-115, 111
Suppose -y**3/6 + 35*y**2/2 + 3*y/2 - 315/2 = 0. Calculate y.
-3, 3, 105
Factor -2*r**3 + 406*r**2 - 23622*r + 294066.
-2*(r - 93)**2*(r - 17)
Determine h, given that 3*h**3 - 4509*h**2 + 149838*h = 0.
0, 34, 1469
Factor 2*s**3 + 17664*s**2 + 38878170*s - 547762012.
2*(s - 14)*(s + 4423)**2
Factor -5*k**5 - 25*k**4 + 750*k**3 + 8750*k**2 + 34375*k + 46875.
-5*(k - 15)*(k + 5)**4
Suppose 55*q**2 + 26585*q + 9660 = 0. Calculate q.
-483, -4/11
Determine w, given that 4*w**5 + 622772*w**4 - 622784*w**3 - 1245552*w**2 = 0.
-155694, -1, 0, 2
Determine z, given that z**5 + 2634*z**4 - 2639*z**3 - 10536*z**2 + 10540*z = 0.
-2635, -2, 0, 1, 2
Factor g**3/6 + 66260*g**2/3 + 2195061274*g/3 - 8781305288/3.
(g - 4)*(g + 66262)**2/6
Solve -f**5 - 132*f**4 - 259*f**3 + 132*f**2 + 260*f = 0 for f.
-130, -2, -1, 0, 1
Factor 3*a**3/2 - 152859*a**2 + 7789236027*a/2 - 15576026406.
3*(a - 50951)**2*(a - 4)/2
Solve -14*i**4 + 931808*i**3 - 15504619542*i**2 - 4429967364*i = 0.
-2/7, 0, 33279
Find f such that 448*f**4 - 1126*f**3 - 4859*f**2/2 - 1843*f/2 - 66 = 0.
-1, -11/28, -3/32, 4
Factor -w**3 - 3107*w**2 + 40548*w - 37440.
-(w - 12)*(w - 1)*(w + 3120)
Suppose 5*m**4 - 1130*m**3 - 21555*m**2 - 98820*m = 0. Calculate m.
-9, 0, 244
What is y in 5*y**5 + 1030*y**4 + 49515*y**3 - 400690*y**2 - 3204380*y + 11797800 = 0?
-106, -7, 3, 10
Factor -5*g**3 + 24005*g**2 - 24000*g.
-5*g*(g - 4800)*(g - 1)
Factor 3*o**3/4 + 2391*o**2 + 19119*o/4 + 4779/2.
3*(o + 1)**2*(o + 3186)/4
Find x, given that 5*x**2 + 118255*x + 118250 = 0.
-23650, -1
What is l in -5*l**3 + 330*l**2 + 755*l - 241080 = 0?
-24, 41, 49
Determine y so that -y**5/7 + 1517*y**4/7 - 82729*y**3 + 2868267*y**2/7 - 572184*y + 244944 = 0.
1, 3, 756
Factor o**2/3 - 622*o/3 - 78736.
(o - 888)*(o + 266)/3
Factor -q**2 - 1908970*q - 911041615225.
-(q + 954485)**2
Solve f**3/8 + 151*f**2/4 + 1485*f/8 = 0 for f.
-297, -5, 0
Determine y so that -3*y**2/2 - 1131*y/2 + 45390 = 0.
-445, 68
Factor 5*x**5 + 68755*x**4 - 68760*x**3.
5*x**3*(x - 1)*(x + 13752)
Let -6*v**5/7 - 80*v**4/7 + 46*v**3/7 + 864*v**2/7 - 968*v/7 - 416/7 = 0. What is v?
-13, -4, -1/3, 2
Determine p so that -4*p**3 + 1180*p**2 - 93152*p + 887216 = 0.
11, 142
Factor 5*c**3 + 5680*c**2 + 155600*c + 531840.
5*(c + 4)*(c + 24)*(c + 1108)
Let 158*c**5/11 - 938*c**4/11 - 218*c**3/11 + 938*c**2/11 + 60*c/11 = 0. What is c?
-1, -5/79, 0, 1, 6
What is s in -400*s**3/7 + 51892*s**2/7 + 14038*s/7 + 260/7 = 0?
-1/4, -1/50, 130
Solve -3*v**5 - 846*v**4 - 13563*v**3 - 12720*v**2 = 0.
-265, -16, -1, 0
Suppose 7*g**4 - 5*g**3 - 91*g**2 - 19*g + 60 = 0. Calculate g.
-3, -1, 5/7, 4
Determine o so that o**4 - 14827*o**3 - 14829*o**2 + 14827*o + 14828 = 0.
-1, 1, 14828
Factor q**3/4 - 29329*q**2/4 - q/4 + 29329/4.
(q - 29329)*(q - 1)*(q + 1)/4
Suppose -21*p**3 - 240*p**2 - 477*p - 162 = 0. What is p?
-9, -2, -3/7
Factor 4*i**4 - 8112*i**3 + 4153144*i**2 - 40925040*i + 101808100.
4*(i - 1009)**2*(i - 5)**2
Factor -6*j**2 + 25042*j/3 - 5564/3.
-2*(j - 1391)*(9*j - 2)/3
Factor 2*d**4/5 + 376*d**3/5 - 1536*d**2/5.
2*d**2*(d - 4)*(d + 192)/5
Factor 2*c**4/5 - 66*c**3 + 6534*c**2/5 + 646866*c/5.
2*c*(c - 99)**2*(c + 33)/5
Find a such that -2*a**2 + 4044*a = 0.
0, 2022
Suppose 3*o**3/4 + 375*o**2/4 - 759*o/4 + 381/4 = 0. Calculate o.
-127, 1
Let -5*i**2 - 83510*i - 348696005 = 0. Calculate i.
-8351
Factor m**3 - 40*m**2 - 15661*m + 63220.
(m - 145)*(m - 4)*(m + 109)
Factor -4*z**3 - 256*z**2 + 7340*z - 19608.
-4*(z - 19)*(z - 3)*(z + 86)
Factor 33*g**3 - 5736*g**2 - 12660*g - 2112.
3*(g - 176)*(g + 2)*(11*g + 2)
Let 2*l**5/7 + 3380*l**4/7 - 27128*l**3/7 + 67888*l**2/7 - 54336*l/7 = 0. What is l?
-1698, 0, 2, 4
What is d in 5*d**5/4 + 53*d**4 + 79*d**3/4 - 53*d**2 - 21*d = 0?
-42, -1, -2/5, 0, 1
Determine n so that n**3 - 12112*n**2 - n + 12112 = 0.
-1, 1, 12112
What is c in 4*c**4/7 - 1070536*c**3/7 + 71626887412*c**2/7 + 143256986448*c/7 + 71629028496/7 = 0?
-1, 133818
Find i, given that 4*i**2/3 + 3251*i/3 - 4070/3 = 0.
-814, 5/4
Factor -4*w**2 + 732*w + 23632.
-4*(w - 211)*(w + 28)
Solve 3*b**3 + 291*b**2 + 9120*b + 90972 = 0 for b.
-38, -21
Determine b, given that 2*b**2/11 + 486*b/11 - 1476/11 = 0.
-246, 3
What is c in 2*c**2/3 - 142*c - 428/3 = 0?
-1, 214
Factor -3*s**3 - 1488*s**2 - 8820*s.
-3*s*(s + 6)*(s + 490)
Factor -5*b**3 + 1335*b**2 - 6570*b + 5240.
-5*(b - 262)*(b - 4)*(b - 1)
Solve -2*t**2/9 + 509564*t/9 - 32456933762/9 = 0 for t.
127391
Find z such that 3*z**3/4 + 1113*z**2/4 - 4635*z/4 - 50625/4 = 0.
-375, -5, 9
Determine n, given that 2*n**3 + 632*n**2 + 11202*n - 24948 = 0.
-297, -21, 2
Factor 2*k**3/9 - 1322*k**2/9 + 70336*k/3 + 275968.
2*(k - 336)**2*(k + 11)/9
Find o, given that o**2/3 + 39013*o/3 - 39014/3 = 0.
-39014, 1
Solve 598*l**5/11 + 13254*l**4/11 + 59568*l**3/11 - 162728*l**2/11 - 27840*l/11 - 1152/11 = 0 for l.
-12, -2/23, -1/13, 2
Suppose -96*j**5 + 46544*j**4 + 7830*j**3 - 33913*j**2 - 17940*j - 2425 = 0. Calculate j.
-1/2, -5/12, -1/4, 1, 485
Determine t, given that -3*t**5 + 786*t**4 + 44208*t**3 + 791808*t**2 + 5246976*t + 7667712 = 0.
-16,