culate j.
-1/4, 0, 15/976, 1
Determine l so that -4*l**5 + 432*l**4 + 892*l**3 - 1320*l**2 = 0.
-3, 0, 1, 110
Suppose 3*w**5 - 237*w**4 - 243*w**3 + 237*w**2 + 240*w = 0. What is w?
-1, 0, 1, 80
Determine s so that -s**4 + 3*s**3 + 256*s**2 - 768*s = 0.
-16, 0, 3, 16
Solve -2*n**3 + 3492*n**2 + 3494*n = 0.
-1, 0, 1747
Let -2*n**4/7 - 842*n**3 - 4357102*n**2/7 - 21638410*n/7 = 0. Calculate n.
-1471, -5, 0
Suppose 2*i**2/13 - 180416*i/13 - 360840/13 = 0. What is i?
-2, 90210
Let -5*j**5 - 65*j**4 + 515*j**3 - 1015*j**2 + 570*j = 0. Calculate j.
-19, 0, 1, 2, 3
Determine v, given that -7*v**4/10 + 433*v**3/5 + 1137*v**2/10 - 748*v/5 - 50 = 0.
-2, -2/7, 1, 125
Factor -n**3/4 + 63*n**2/2 + 651*n/4 + 131.
-(n - 131)*(n + 1)*(n + 4)/4
Suppose -s**2/3 + 93398*s - 6542389803 = 0. Calculate s.
140097
Find v, given that -4*v**2 - 29284*v + 29288 = 0.
-7322, 1
What is t in -15*t**5 + 4269*t**4 - 237945*t**3 + 3911163*t**2 - 5486580*t - 2835756 = 0?
-2/5, 2, 33, 217
Let 4*o**4 - 10056*o**3 + 40180*o**2 - 50208*o + 20080 = 0. What is o?
1, 2, 2510
Factor 2*k**3 + 24658*k**2 - 1335906*k + 18054414.
2*(k - 27)**2*(k + 12383)
What is t in 12*t**3/5 - 436298*t**2/5 + 3965785208*t/5 - 660952082/5 = 0?
1/6, 18179
Determine m, given that -7220*m**3 + 35796*m**2 + 7584*m/5 + 16 = 0.
-2/95, 5
Factor 2*v**2/11 + 18456*v/11.
2*v*(v + 9228)/11
What is a in -5*a**2/6 - 4640*a/3 + 9290/3 = 0?
-1858, 2
Suppose -65*m**4 - 60*m**3 + 525*m**2 + 740*m - 60 = 0. What is m?
-2, 1/13, 3
Factor p**4/4 - 80281*p**3/4 + 537093270*p**2 - 4791230017200*p + 4790692944000.
(p - 26760)**3*(p - 1)/4
Factor -3*z**2 - 14505*z + 14508.
-3*(z - 1)*(z + 4836)
Let -4*y**3/5 - 44808*y**2/5 + 1256976*y/5 - 1760864 = 0. Calculate y.
-11230, 14
Let -1875*z**3 - 1590150*z**2 - 335547828*z + 677471256 = 0. What is z?
-10626/25, 2
Suppose -i**2/3 - 156608*i = 0. Calculate i.
-469824, 0
Suppose -3*j**5 - 978*j**4 - 20121*j**3 - 17202*j**2 + 38304*j = 0. Calculate j.
-304, -21, -2, 0, 1
Solve -2*c**2/5 - 7864*c/5 + 253696/5 = 0.
-3964, 32
Factor 4*h**4 + 532*h**3 + 952*h**2 - 12576*h.
4*h*(h - 4)*(h + 6)*(h + 131)
Determine h, given that 4*h**4 - 116*h**3 + 628*h**2 + 996*h - 1512 = 0.
-2, 1, 9, 21
Factor 4*s**3/7 + 296*s**2/7 - 1564*s/7 + 1264/7.
4*(s - 4)*(s - 1)*(s + 79)/7
Factor 3*m**5 - 3294*m**4 + 1055835*m**3 - 79388100*m**2.
3*m**2*(m - 495)**2*(m - 108)
Solve -5*m**5 + 965*m**4 - 38610*m**3 - 784160*m**2 - 1406080*m = 0.
-13, -2, 0, 104
What is t in -5*t**5 + 410*t**4 + 600*t**3 - 15530*t**2 + 14525*t = 0?
-7, 0, 1, 5, 83
Factor -3*c**3/7 - 90*c**2/7 + 8901*c/7 + 44376.
-3*(c - 56)*(c + 43)**2/7
Solve -2*m**4/15 + 3254*m**3/15 + 2400*m**2 + 19656*m/5 = 0.
-9, -2, 0, 1638
Find s, given that -5*s**3/2 - 730*s**2 + 8975*s/2 + 5215 = 0.
-298, -1, 7
Factor -3*i**2 - 11712*i.
-3*i*(i + 3904)
What is x in -18*x**4 + 242130*x**3 - 161414*x**2 + 26902*x = 0?
0, 1/3, 13451
Factor -a**2/11 + 668*a/11 + 2688/11.
-(a - 672)*(a + 4)/11
Suppose -2*k**3/5 - 1824*k**2/5 - 1818*k/5 + 3644/5 = 0. What is k?
-911, -2, 1
Suppose 6*q**3 + 2558*q**2 - 6*q - 2558 = 0. What is q?
-1279/3, -1, 1
Let -5*n**3 - 52870*n**2 - 139708960*n + 279629440 = 0. What is n?
-5288, 2
Factor -2*o**4 + 782*o**3 + 2358*o**2 + 2362*o + 788.
-2*(o - 394)*(o + 1)**3
Factor -3*z**2 + 187935*z - 187932.
-3*(z - 62644)*(z - 1)
Factor -4*t**2 + 708*t + 12352.
-4*(t - 193)*(t + 16)
Determine p, given that 21872*p**4 - 60108*p**3 - 16514*p**2 - 30*p = 0.
-1/4, -5/2734, 0, 3
Factor 3*w**2/4 - 1275*w/4 + 50721/2.
3*(w - 319)*(w - 106)/4
Suppose 102*z**5 - 1021*z**4 + 10*z**3 = 0. What is z?
0, 1/102, 10
Solve 5*y**4 - 154015*y**3 = 0 for y.
0, 30803
Factor -x**3/6 + 17*x**2/3 - 63*x/2 - 150.
-(x - 25)*(x - 12)*(x + 3)/6
Factor -n**3/2 + 43089*n**2/2.
-n**2*(n - 43089)/2
Factor 43*b**2/4 + 3949*b/2.
b*(43*b + 7898)/4
Solve -a**3 + 20303*a**2 - 20302*a = 0 for a.
0, 1, 20302
Solve 3*d**2/4 - 8127*d/4 + 417621/2 = 0 for d.
107, 2602
Factor 11*m**3/2 - 100625*m**2/2 + 115054396*m + 31382214.
(m - 4574)**2*(11*m + 3)/2
Factor -z**4/3 + 84*z**3 - 7488*z**2 + 267696*z - 2847312.
-(z - 78)**3*(z - 18)/3
Factor -2*f**2 + 12284*f + 12286.
-2*(f - 6143)*(f + 1)
What is o in 16*o**4 - 6350*o**3 + 317286*o**2 - 4237744*o - 534688 = 0?
-1/8, 28, 341
Factor -2*q**3 + 342*q**2 - 8236*q.
-2*q*(q - 142)*(q - 29)
Factor -225*d**2 + 189710*d + 75920.
-5*(5*d + 2)*(9*d - 7592)
Factor -w**2 + 3438*w - 235760.
-(w - 3368)*(w - 70)
Determine v, given that 9*v**5/7 + 906*v**4/7 - 1296*v**3 - 20826*v**2/7 - 1551*v = 0.
-329/3, -1, 0, 11
Let -l**3/2 + 15219*l**2/2 - 28795620*l - 1193446450 = 0. What is l?
-41, 7630
Factor -2*a**4/11 - 140*a**3/11 + 3600*a**2/11.
-2*a**2*(a - 20)*(a + 90)/11
Find p, given that -2*p**3/5 - 638*p**2/5 - 4976*p/5 = 0.
-311, -8, 0
Suppose -5*k**4 - 65*k**3 + 415*k**2 + 1185*k - 1530 = 0. What is k?
-17, -3, 1, 6
Factor 2*t**3 - 144*t**2.
2*t**2*(t - 72)
Factor 4*k**3 - 91192*k**2 - 182396*k - 91200.
4*(k - 22800)*(k + 1)**2
Factor -3*x**2/2 + 13713*x/2 - 68415.
-3*(x - 4561)*(x - 10)/2
Suppose 2*r**5/13 - 108*r**4/13 - 1880*r**3/13 - 2172*r**2/13 + 2862*r - 33048/13 = 0. What is r?
-9, 1, 3, 68
Find y, given that -8*y**3 - 430*y**2 - 2196*y + 576 = 0.
-48, -6, 1/4
Determine y, given that -2*y**3/9 - 148*y**2/9 - 3328*y/9 - 20480/9 = 0.
-32, -10
Let -5*u**2/2 - 1255*u/2 + 17250 = 0. Calculate u.
-276, 25
Factor 2*h**2/11 + 9166*h/11 - 18340/11.
2*(h - 2)*(h + 4585)/11
Find z, given that 2*z**2/13 - 113476*z/13 + 1609600322/13 = 0.
28369
Find w such that 5*w**2 + 1235*w = 0.
-247, 0
Factor -5*x**3 + 780*x**2 - 36225*x + 428490.
-5*(x - 69)**2*(x - 18)
Determine w so that -6*w**2/7 - 8230*w + 19204/7 = 0.
-9602, 1/3
Factor -32*s**2 - 145316*s - 163440.
-4*(s + 4540)*(8*s + 9)
Solve -5*z**3 + 11755*z**2 - 6914875*z + 6903125 = 0.
1, 1175
Factor 7*s**2 + 10445*s + 1492.
(s + 1492)*(7*s + 1)
Let 2*h**2 - 134772*h + 134770 = 0. Calculate h.
1, 67385
Suppose p**2/4 + 7779*p/4 - 1945 = 0. Calculate p.
-7780, 1
Determine q, given that -q**2 - 1517*q + 3038 = 0.
-1519, 2
Solve -5*b**4 - 410*b**3 + 34200*b**2 - 718390*b + 4767005 = 0.
-139, 19
Find d, given that -d**2/5 + 693*d/5 + 7744/5 = 0.
-11, 704
Suppose 5*d**3 - 470*d**2 + 11045*d = 0. What is d?
0, 47
Find u, given that -u**2/7 + 2133366*u/7 - 1137812622489/7 = 0.
1066683
Determine w, given that -2*w**4/15 - 424*w**3/5 - 2536*w**2/15 = 0.
-634, -2, 0
Factor 3*t**2 - 44277*t + 132804.
3*(t - 14756)*(t - 3)
Factor -4*r**3/7 + 884*r**2/7 - 38236*r/7 - 175692.
-4*(r - 121)**2*(r + 21)/7
What is j in 31*j**3/6 + j**2/2 - 14*j/3 = 0?
-1, 0, 28/31
Find h, given that 3741125*h**3 + 29946300*h**2 + 138420*h + 160 = 0.
-8, -2/865
Suppose r**5/3 - 1474*r**4/3 + 759688*r**3/3 - 152381312*r**2/3 + 7969396736*r/3 + 34364686336/3 = 0. What is r?
-4, 86, 464
Let 18*i**4 - 17266*i**3 + 4151018*i**2 - 5051534*i + 917764 = 0. What is i?
2/9, 1, 479
Factor -2*w**3/3 + 1634*w**2/3 - 317680*w/3 - 6639512/3.
-2*(w - 418)**2*(w + 19)/3
Factor -w**3 + 5298*w**2 - 7006593*w - 28111204.
-(w - 2651)**2*(w + 4)
Suppose 2*j**4/11 + 212*j**3/11 - 7622*j**2/11 - 15872*j/11 - 8040/11 = 0. What is j?
-134, -1, 30
Let 2*l**3/3 - 184*l**2/3 + 2138*l/3 - 2212 = 0. Calculate l.
6, 7, 79
Factor 2*a**3/5 - 1756*a**2/5 + 499906*a/5 - 45582152/5.
2*(a - 341)**2*(a - 196)/5
Let -165*m**5 + 1805*m**4 - 6655*m**3 + 9655*m**2 - 4340*m - 300 = 0. Calculate m.
-2/33, 1, 2, 3, 5
Factor u**5/3 + 73*u**4 + 1079*u**3/3 + 1933*u**2/3 + 500*u + 428/3.
(u + 1)**3*(u + 2)*(u + 214)/3
Factor -2*g**5/3 - 1132*g**4/3 + 378*g**3.
-2*g**3*(g - 1)*(g + 567)/3
Factor -5*q**3 - 5650*q**2 - 1266565*q - 80331320.
-5*(q + 137)**2*(q + 856)
Factor w**2/3 + 90*w - 544/3.
(w - 2)*(w + 272)/3
Factor a**3/3 - 1836*a**2 + 5507*a/3.
a*(a - 5507)*(a - 1)/3
Factor 2*h**2/5 - 386*h/3 - 644/15.
2*(h - 322)*(3*h + 1)/15
Determine f so that -f**2/3 + 7838*f - 46075683 = 0.
11757
Find w such that 2*w**4/3 - 86*w**3 + 1404*w**2 - 8136*w + 15984 = 0.
6, 111
Factor 2*w**3/3 + 27782*w**2/3 + 96687968*w/3 + 481358440.
2*(w + 15)*(w + 6938)**2/3
Factor y**2/3 - 4090*y/3 - 4093.
(y - 4093)*(y + 3)/3
Solve -4*p**5 - 240*p**4 - 1024*p**3 + 4296*p**2 + 6212*p - 9240 = 0.
-55, -7, -2, 1, 3
Factor f**3 + 587*f**2 - 14030*f.
f*(f - 23)*(f + 610)
Factor -f**3/9 + 13025*f**2/9 - 42432187