se 2*v**4 + 118*v**3 + 108*v**2 - 472*v - 464 = 0. Calculate v.
-58, -2, -1, 2
Determine n so that -4*n**3 - 4450*n**2/3 + 5218*n/3 + 1240 = 0.
-372, -1/2, 5/3
Solve 9*d**5 - 15996*d**4 + 243060*d**3 + 169152*d**2 = 0 for d.
-2/3, 0, 16, 1762
Suppose -5*w**4 - 269*w**3/7 + 1249*w**2/7 - 45*w - 198/7 = 0. What is w?
-11, -2/7, 3/5, 3
Determine z, given that 5*z**5 - 525*z**4 - 102645*z**3 - 601155*z**2 - 894240*z = 0.
-96, -3, 0, 207
Suppose 563840*z**4/3 + 32*z**3/3 - 35240*z**2/3 - 2*z/3 = 0. Calculate z.
-1/4, -1/17620, 0, 1/4
Factor -507*t**3 + 23010*t**2 - 149184*t + 262656.
-3*(t - 38)*(13*t - 48)**2
Factor 364*l**3 + 2185*l**2/6 + l/6.
l*(l + 1)*(2184*l + 1)/6
Factor 2*i**2/3 + 1824*i - 205202/3.
2*(i - 37)*(i + 2773)/3
Suppose -2*v**3/3 - 280*v**2/3 - 3358*v - 6348 = 0. Calculate v.
-69, -2
Solve 4*k**4 + 76*k**3 + 288*k**2 - 1792*k - 10240 = 0 for k.
-8, 5
Factor v**4/7 - 1420*v**3/7 + 509739*v**2/7 - 3997372*v/7 + 498436.
(v - 706)**2*(v - 7)*(v - 1)/7
Factor d**3/5 + 7*d**2/5 - 433*d/5 + 85.
(d - 17)*(d - 1)*(d + 25)/5
Solve v**3/2 + 155*v**2/2 + 2679*v/2 - 2835/2 = 0.
-135, -21, 1
Let 2*h**2/9 - 2306*h/9 - 266908/9 = 0. Calculate h.
-106, 1259
Solve -j**5/5 - 112*j**4 - 17391*j**3/5 = 0 for j.
-527, -33, 0
Let -5*s**4/3 - 215*s**3/3 + 1415*s**2/3 - 2665*s/3 + 490 = 0. Calculate s.
-49, 1, 2, 3
Factor 9*g**2/2 - 4791*g/2 + 798.
3*(g - 532)*(3*g - 1)/2
Let 45*u**5 + 1245*u**4 + 3860*u**3 - 2540*u**2 - 3280*u + 1920 = 0. Calculate u.
-24, -4, -1, 2/3
Factor -o**3/2 + 109*o**2 + 1569*o/2 + 675.
-(o - 225)*(o + 1)*(o + 6)/2
Find n such that 5*n**4/4 + 525*n**3/4 - 1115*n**2 + 1695*n = 0.
-113, 0, 2, 6
Find t, given that 4*t**2 + 8288*t - 41540 = 0.
-2077, 5
Factor -2*p**2/7 + 584*p/7 + 6666/7.
-2*(p - 303)*(p + 11)/7
Factor -2*u**3/15 + 2942*u**2/15 - 5866*u/5 + 1758.
-2*(u - 1465)*(u - 3)**2/15
What is y in -4*y**2 + 67396*y + 67400 = 0?
-1, 16850
Let 12*n**4 - 64*n**3 - 4*n**2 + 296*n - 96 = 0. Calculate n.
-2, 1/3, 3, 4
Find i, given that -3*i**4/7 + 4512*i**3/7 - 1701015*i**2/7 + 3384006*i/7 = 0.
0, 2, 751
Find l, given that 4*l**4 + 172380*l**3 + 1857265212*l**2 + 1857092836*l = 0.
-21547, -1, 0
Solve 2*d**3/7 + 1052*d**2/7 + 44640*d/7 + 230400/7 = 0.
-480, -40, -6
Solve -2*o**3/5 + 1626*o**2/5 - 6696*o + 171072/5 = 0 for o.
9, 12, 792
Factor 5*p**2 - 609200*p + 18556232000.
5*(p - 60920)**2
Factor 5*d**2 - 1781120*d + 158619422720.
5*(d - 178112)**2
Determine j so that 2*j**2/5 + 3958*j/5 - 282624/5 = 0.
-2048, 69
Determine g, given that 20*g**5 - 1765*g**4 - 8740*g**3 - 8865*g**2 + 2790*g = 0.
-3, -2, 0, 1/4, 93
Find p such that -4*p**4/3 + 616*p**3/3 + 3148*p**2/3 + 5072*p/3 + 848 = 0.
-2, -1, 159
Factor 4*c**2 - 10980*c - 265824.
4*(c - 2769)*(c + 24)
Factor 4*l**2 - 135188*l - 676040.
4*(l - 33802)*(l + 5)
Let k**2/6 - 353*k/6 + 4030 = 0. What is k?
93, 260
Factor -5*y**2 - 430*y + 26880.
-5*(y - 42)*(y + 128)
Factor 5*o**3 + 2855*o**2 - 28945*o + 61005.
5*(o - 7)*(o - 3)*(o + 581)
Suppose 3*w**2/4 + 84693*w/2 + 169383/4 = 0. What is w?
-56461, -1
Factor 10*i**2/21 + 12786*i/7 + 38348/21.
2*(i + 1)*(5*i + 19174)/21
Factor 2*q**3/7 + 836*q**2/7 - 5078*q/7 + 4240/7.
2*(q - 5)*(q - 1)*(q + 424)/7
Find f such that 3*f**2/2 + 55605*f + 1030638675/2 = 0.
-18535
Factor -2*t**3/7 + 1350*t**2/7 + 9536*t/7 + 8184/7.
-2*(t - 682)*(t + 1)*(t + 6)/7
Factor -2*d**3 + 8184*d**2 + 49158*d + 73764.
-2*(d - 4098)*(d + 3)**2
Let -5*n**4 - 140*n**3 + 325*n**2 + 720*n - 900 = 0. What is n?
-30, -2, 1, 3
Factor -1209578841*s**4/5 - 483845448*s**3 - 1209717958*s**2/5 - 13912*s - 1/5.
-(s + 1)**2*(34779*s + 1)**2/5
Suppose 3*w**2/2 - 5652*w + 5324184 = 0. What is w?
1884
Factor -f**3/7 + 795*f**2/7 + 9648*f/7 + 29052/7.
-(f - 807)*(f + 6)**2/7
Determine z, given that -5*z**4 + 13557*z**3 - 140597*z**2 + 391695*z - 135050 = 0.
2/5, 5, 2701
Find i such that 96325*i**3 + 963248*i**2 + 2408105*i - 50 = 0.
-5, 2/96325
Factor -3*k**3/4 + 207*k**2/4 + 579*k - 4095.
-3*(k - 78)*(k - 5)*(k + 14)/4
Factor -r**2/7 - 830596*r/7 - 172472428804/7.
-(r + 415298)**2/7
Let -3*s**4/5 + 43*s**3/5 + 139*s**2/5 - 51*s/5 = 0. Calculate s.
-3, 0, 1/3, 17
Find o such that 12*o**5/11 - 5842*o**4/11 + 724970*o**3/11 - 3388950*o**2/11 + 2443258*o/11 - 464648/11 = 0.
1/3, 1/2, 4, 241
Factor o**4 + 329*o**3 + 25148*o**2 - 321980*o - 346800.
(o - 12)*(o + 1)*(o + 170)**2
Let 2*f**3/9 + 8174*f**2/9 + 8771920*f/9 + 847461400/9 = 0. Calculate f.
-1990, -107
What is l in -52*l**3/11 + 838*l**2/11 + 1776*l/11 - 216/11 = 0?
-2, 3/26, 18
Let 2*u**3/9 - 44*u**2 + 3778*u/9 - 376 = 0. What is u?
1, 9, 188
What is j in -j**2/8 - 577*j/4 + 22287/8 = 0?
-1173, 19
Factor -f**3 + 10831*f**2 - 313286*f + 302456.
-(f - 10802)*(f - 28)*(f - 1)
Solve -2*g**3 - 50*g**2 + 50000*g + 3500000 = 0 for g.
-100, 175
Suppose -15*r**5 + 34030*r**4 - 158455*r**3 - 56600*r**2 = 0. What is r?
-1/3, 0, 5, 2264
Find r, given that r**4 + 503*r**3 + 11688*r**2 + 92480*r + 245248 = 0.
-479, -8
Factor 2*n**3/3 - 734*n**2/3 + 240*n + 1464.
2*(n - 366)*(n - 3)*(n + 2)/3
Factor 67*m**2/4 + 17625*m/4 + 263.
(m + 263)*(67*m + 4)/4
Solve 2*n**3/11 - 52*n**2/11 + 378*n/11 - 720/11 = 0 for n.
3, 8, 15
Suppose 2*x**5 + 226*x**4 - 13600*x**3 + 223744*x**2 - 1073152*x - 1310720 = 0. Calculate x.
-160, -1, 16
Factor -4*y**2/3 - 125309*y/3 - 31327/3.
-(y + 31327)*(4*y + 1)/3
What is u in 5*u**3 + 10*u**2 - 495*u = 0?
-11, 0, 9
Let -2*k**4/7 + 778*k**3/7 - 104250*k**2/7 + 5218750*k/7 - 7812500 = 0. Calculate k.
14, 125
Suppose 2*p**4/5 - 122*p**3/5 + 46*p**2 + 354*p/5 = 0. What is p?
-1, 0, 3, 59
Find v such that 4*v**5/7 + 12524*v**4/7 + 25012*v**3/7 - 62604*v**2/7 - 10728*v = 0.
-3129, -3, -1, 0, 2
Factor -5*o**2 + 2387920*o - 2387915.
-5*(o - 477583)*(o - 1)
Suppose 8*s**3 + 10844*s**2 - 16280*s + 5428 = 0. What is s?
-1357, 1/2, 1
Factor -g**3/5 - 13754*g**2/5 - 9461376*g - 94558752/5.
-(g + 2)*(g + 6876)**2/5
Factor -4*z**2/5 - 2024*z/5 + 12288/5.
-4*(z - 6)*(z + 512)/5
Factor 5*m**2 - 53460*m + 53455.
5*(m - 10691)*(m - 1)
Factor 3*k**2 + 23397*k + 23394.
3*(k + 1)*(k + 7798)
Factor -a**2/2 - 8972*a - 40248392.
-(a + 8972)**2/2
Let v**2/3 + 25855*v/3 + 25852 = 0. What is v?
-25852, -3
Factor -w**4/2 - 1478*w**3 - 1549611*w**2 - 655637590*w - 168600940913/2.
-(w + 223)*(w + 911)**3/2
Suppose -a**2 - 9529*a - 9528 = 0. What is a?
-9528, -1
Solve 4*n**2 + 1792*n - 142692 = 0.
-517, 69
What is l in 2*l**2/9 + 5348*l/9 + 21104 = 0?
-2638, -36
Solve -4*i**4 - 2364*i**3 - 21012*i**2 - 34820*i + 58200 = 0 for i.
-582, -5, 1
Determine m, given that 5*m**5 + 6545*m**4 + 2132015*m**3 - 6435365*m**2 + 6448480*m - 2151680 = 0.
-656, 1
Let -4*s**3 + 288*s**2 - 1340*s = 0. What is s?
0, 5, 67
Factor -n**3 + 2*n**2 + 288*n.
-n*(n - 18)*(n + 16)
Factor 3*m**4/2 + 5172*m**3 + 4305753*m**2 - 262928964*m + 7753201707/2.
3*(m - 29)**2*(m + 1753)**2/2
Let 6*y**5 + 86*y**4 + 426*y**3 + 962*y**2 + 1008*y + 392 = 0. What is y?
-7, -7/3, -2, -1
Factor -196*y**3 - 5040*y**2 + 1452*y - 104.
-4*(y + 26)*(7*y - 1)**2
Solve -18*i**5/7 - 256*i**4/7 - 344*i**3/7 + 1664*i**2/7 + 384*i/7 = 0 for i.
-12, -4, -2/9, 0, 2
Factor -25*n**4/4 + 1715*n**3/2 + 689*n**2 + 138*n.
-n*(n - 138)*(5*n + 2)**2/4
Let 2*a**4 + 1130*a**3 - 3444*a**2 - 20448*a = 0. Calculate a.
-568, -3, 0, 6
Factor b**3 + 475*b**2 + 5916*b - 41580.
(b - 5)*(b + 18)*(b + 462)
Let s**2/4 + 881*s/4 + 3460 = 0. What is s?
-865, -16
Factor 5*o**2 - 1054280*o.
5*o*(o - 210856)
Factor 4*f**2 + 22652*f + 406440.
4*(f + 18)*(f + 5645)
Let 4*u**2 + 644*u + 1896 = 0. What is u?
-158, -3
Factor 2*z**3/3 + 14978*z**2/3 - 2*z/3 - 14978/3.
2*(z - 1)*(z + 1)*(z + 7489)/3
Factor -3*l**2/2 - 160890*l - 4314265350.
-3*(l + 53630)**2/2
Find p, given that p**5 + 73*p**4 + 134*p**3 - 5188*p**2 + 9240*p = 0.
-70, -11, 0, 2, 6
What is i in 2*i**3/7 + 712*i**2/7 - 7270*i/7 + 18300/7 = 0?
-366, 5
Find d such that 2*d**3 - 42992*d**2 + 230953000*d + 924500000 = 0.
-4, 10750
Suppose 8*b**2 - 1148*b + 1140 = 0. What is b?
1, 285/2
Factor -f**3/6 - 5*f**2/3 + 173*f/2 + 270.
-(f - 20)*(f + 3)*(f + 27)/6
Factor -6*o**2/11 - 5814*o/11 - 51840/11.
-6*(o + 9)*(o + 960)/11
Solve -5*j**3 - 1915*j**2 - 16930*j - 37400 = 0.
-374, -5, -4
Factor -t**4 + 486*t**3 + 4447*t**2 + 3960*t.
-t*(t - 495)*(t + 1)*(t + 8)
Find g such that g