2)
Factor -x**3/11 + 101*x**2/11 - 1924*x/11 + 1824/11.
-(x - 76)*(x - 24)*(x - 1)/11
Let -4*x**2 - 3485720*x - 3485716 = 0. Calculate x.
-871429, -1
Solve -3*l**3/8 - 21879*l**2/2 - 1224783*l/8 - 2143113/4 = 0 for l.
-29158, -7
Factor 2*t**2/9 - 29576*t/9 + 109342472/9.
2*(t - 7394)**2/9
Find y such that -3*y**5 - 84*y**4 - 390*y**3 + 1704*y**2 - 1887*y + 660 = 0.
-20, -11, 1
Solve 4*o**5 + 108*o**4 + 224*o**3 - 4256*o**2 + 10560*o - 7744 = 0 for o.
-22, -11, 2
Suppose -3*f**2 - 195666*f - 3190431963 = 0. Calculate f.
-32611
Factor -3*r**3 - 567*r**2 + 7812*r - 13332.
-3*(r - 11)*(r - 2)*(r + 202)
What is g in 2*g**2/5 - 11202*g/5 - 22412/5 = 0?
-2, 5603
Find w, given that -w**2 - 6573*w + 204724 = 0.
-6604, 31
Solve a**2/3 - 3560*a/3 + 3559/3 = 0.
1, 3559
Let 4*v**3 - 16552*v**2 + 978720*v = 0. Calculate v.
0, 60, 4078
What is h in -h**4 + 67*h**3 + 1654*h**2 - 1720*h = 0?
-20, 0, 1, 86
Factor 2*s**2/5 - 292872*s/5 + 10721751048/5.
2*(s - 73218)**2/5
Suppose 4*u**4 + 25104*u**3 + 39488268*u**2 + 313475216*u - 1296498192 = 0. What is u?
-3134, -11, 3
Factor -3*h**3 - 45*h**2 + 579*h + 621.
-3*(h - 9)*(h + 1)*(h + 23)
Let 5*h**3/3 - 4087*h**2 + 816*h + 9808/3 = 0. What is h?
-4/5, 1, 2452
Solve n**2/5 + 4448*n/5 + 7104 = 0 for n.
-4440, -8
Solve -a**4 - 266*a**3 + 1621*a**2 - 2986*a + 1632 = 0.
-272, 1, 2, 3
Let q**4/8 - 313*q**3/8 - 651*q**2/8 + 6633*q/8 - 2835/4 = 0. What is q?
-6, 1, 3, 315
Let 2*w**3 + 2466*w**2 - 206988*w + 404096 = 0. What is w?
-1312, 2, 77
Suppose 3*m**3 - 69348*m**2 + 138687*m - 69342 = 0. What is m?
1, 23114
Determine s so that 4*s**4 - 15368*s**3 + 14868148*s**2 - 205900464*s + 718025616 = 0.
7, 1914
Let 3*n**2 - 66686*n - 22229 = 0. Calculate n.
-1/3, 22229
Solve -2*l**5 - 18*l**4 + 46*l**3 + 618*l**2 + 1036*l + 480 = 0 for l.
-8, -5, -1, 6
Factor h**2/7 - 4098*h/7 + 8192/7.
(h - 4096)*(h - 2)/7
Solve 4*r**2 - 338592*r + 1354304 = 0 for r.
4, 84644
Find z, given that -2*z**3/19 + 310*z**2/19 + 10672*z/19 = 0.
-29, 0, 184
Factor -14450*u**2 - 79560*u - 109512.
-2*(85*u + 234)**2
Solve -2*w**3/3 - 246*w**2 - 1696*w - 7240/3 = 0 for w.
-362, -5, -2
Find p such that -11*p**4/5 - 273*p**3/5 - 1138*p**2/5 + 6552*p/5 - 1152/5 = 0.
-16, -12, 2/11, 3
Factor -4*r**2/7 + 6344*r/7 + 2724.
-4*(r - 1589)*(r + 3)/7
Suppose 4*m**3 - 1364*m**2 - 73336*m + 152096 = 0. What is m?
-49, 2, 388
What is m in 3*m**4 - 228*m**3 + 2217*m**2 - 4680*m = 0?
0, 3, 8, 65
Suppose -o**4/6 + 19*o**3 + 201*o**2/2 - 46098*o + 136890 = 0. What is o?
-45, 3, 78
Factor 5*q**2 + 288760*q + 4169116880.
5*(q + 28876)**2
Solve 5*n**2 - 1807920*n + 163428736320 = 0 for n.
180792
Factor p**3/3 + 323*p**2/3 - 12530*p/3.
p*(p - 35)*(p + 358)/3
Suppose -3*g**2 - 31773*g + 127140 = 0. Calculate g.
-10595, 4
Factor 3*z**2 - 290646*z + 7039591443.
3*(z - 48441)**2
Determine c, given that 4*c**2 - 5468*c + 5464 = 0.
1, 1366
Find k such that 3*k**4/7 + 309*k**3 - 6507*k**2/7 + 6513*k/7 - 2172/7 = 0.
-724, 1
Find d, given that -3*d**3 - 192*d**2 - 2943*d - 7182 = 0.
-42, -19, -3
Factor -4*k**2 + 600*k - 12500.
-4*(k - 125)*(k - 25)
Let 2*a**3/3 - 5614*a**2/3 + 1323440*a - 14332296 = 0. Calculate a.
11, 1398
Find y such that -2*y**2/7 + 6036*y - 42250/7 = 0.
1, 21125
Suppose -2425*z**5 - 14540*z**4 - 21765*z**3 + 90*z**2 = 0. Calculate z.
-3, 0, 2/485
Suppose -75*q**2 - 2174540*q + 289940 = 0. What is q?
-28994, 2/15
Factor 2*z**2/9 + 806*z/9 - 1093840/9.
2*(z - 565)*(z + 968)/9
Solve 34*k**2/5 + 14854*k/5 + 2616 = 0 for k.
-436, -15/17
Factor -2*z**4/13 + 34*z**3/13 - 120*z**2/13.
-2*z**2*(z - 12)*(z - 5)/13
Factor -2*x**2/7 - 2229764*x/7 - 621480936962/7.
-2*(x + 557441)**2/7
Let -j**3/4 - 2231*j**2/2 - 13379*j/4 - 4459/2 = 0. Calculate j.
-4459, -2, -1
Suppose -5*x**3/4 - 13241*x**2/4 + 19243*x + 3981 = 0. What is x?
-2654, -1/5, 6
Find p, given that 2*p**5/7 + 12*p**4/7 - 244*p**3/7 + 408*p**2/7 + 242*p/7 - 60 = 0.
-15, -1, 1, 2, 7
Factor -519*r**2/7 - 489*r/7 + 30/7.
-3*(r + 1)*(173*r - 10)/7
Determine l, given that -4*l**2 - 588*l + 11152 = 0.
-164, 17
Solve -3*k**3 + 102321*k**2 - 872414424*k - 872516748 = 0.
-1, 17054
Let 3*t**2 + 31596*t - 31599 = 0. Calculate t.
-10533, 1
What is p in -p**4/3 + 176*p**3 + 531*p**2 = 0?
-3, 0, 531
Find u such that 10*u**2 - 259826*u - 103932 = 0.
-2/5, 25983
Factor 4*u**3 + 3796*u**2 - 7620*u - 11412.
4*(u - 3)*(u + 1)*(u + 951)
Let -13*o**3/4 + 405*o**2/4 + 1108*o + 1680 = 0. Calculate o.
-7, -24/13, 40
Factor w**2/2 - 2187*w/2.
w*(w - 2187)/2
Suppose 6*p**5 - 219*p**4 - 4632*p**3 + 9093*p**2 + 42876*p + 29376 = 0. Calculate p.
-16, -3/2, -1, 4, 51
Suppose -1297238048*z**2/17 - 101872*z/17 - 2/17 = 0. Calculate z.
-1/25468
Let -30*q**5 + 218*q**4 + 540*q**3 - 596*q**2 - 510*q + 378 = 0. What is q?
-7/3, -1, 3/5, 1, 9
Let 168*j**3 - 73935*j**2 + 153768*j - 13140 = 0. What is j?
5/56, 2, 438
Suppose -4*f**4 - 19456*f**3 - 1329768*f**2 - 30487328*f - 233363060 = 0. What is f?
-4795, -23
Factor -3*o**2 - 2067*o + 127566.
-3*(o - 57)*(o + 746)
Let 5*x**2 + 1762040*x + 155239248080 = 0. What is x?
-176204
Suppose -3*s**5/5 - 1479*s**4/5 - 40182*s**3/5 + 86304*s**2/5 = 0. What is s?
-464, -31, 0, 2
Find s such that -243*s**4 - 6021*s**3 - 36561*s**2 + 8349*s - 468 = 0.
-13, -12, 1/9
Determine d, given that 3*d**5/8 + 99*d**4/2 + 13803*d**3/8 + 23217*d**2/4 - 11232*d - 15360 = 0.
-64, -5, -1, 2
Determine p so that -4*p**2 + 57948*p + 57952 = 0.
-1, 14488
Find g such that g**4 + 39*g**3 - 1620*g**2 + 16384*g - 51456 = 0.
-67, 8, 12
Let -4*d**2/9 - 8155*d/9 - 2038/3 = 0. What is d?
-2038, -3/4
Find z, given that z**5/5 - 31*z**4/5 + 22*z**3 + 1966*z**2/5 + 5073*z/5 + 3249/5 = 0.
-3, -1, 19
Suppose 3*r**2 - 702*r + 26784 = 0. What is r?
48, 186
Find d, given that d**4/5 + 141*d**3 + 32811*d**2/5 + 439139*d/5 + 1041072/5 = 0.
-656, -23, -3
Factor 17418*c**5/7 - 52251*c**4/7 + 52245*c**3/7 - 2487*c**2 - 3*c/7.
3*c*(c - 1)**3*(5806*c + 1)/7
Suppose 4*v**4 + 924*v**3 - 2812*v**2 - 924*v + 2808 = 0. Calculate v.
-234, -1, 1, 3
Let -u**5/4 + 111*u**4/2 - 1265*u**3/4 - 1695*u**2 + 4464*u + 15552 = 0. What is u?
-3, 4, 8, 216
Factor -3*c**4 - 59178*c**3.
-3*c**3*(c + 19726)
Find x, given that 2*x**5/19 + 40*x**4/19 - 2112*x**3/19 - 62720*x**2/19 - 294400*x/19 + 2304000/19 = 0.
-20, 4, 36
Factor 5*k**3 + 60*k**2 - 945*k - 8840.
5*(k - 13)*(k + 8)*(k + 17)
Let -98*y**5/5 + 4844*y**4/5 + 1685746*y**3/5 - 725668*y**2/5 - 827048*y/5 - 137776/5 = 0. Calculate y.
-109, -2/7, 1, 158
Find a such that -2*a**2 + 2360*a + 9472 = 0.
-4, 1184
Factor 2*j**3 + 18077*j**2 - 9040*j - 9039.
(j - 1)*(j + 9039)*(2*j + 1)
Suppose -3*i**4 + 15786*i**3 + 15792*i**2 - 15786*i - 15789 = 0. What is i?
-1, 1, 5263
Factor 4*a**4 + 188*a**3 + 1212*a**2 - 1404*a.
4*a*(a - 1)*(a + 9)*(a + 39)
Solve -26*o**3/5 - 5118*o**2/5 - 33792*o/5 + 1064 = 0 for o.
-190, -7, 2/13
Suppose -25*j**4 - 150*j**3 + 404*j**2 + 24*j - 64 = 0. Calculate j.
-8, -2/5, 2/5, 2
Find q such that 2*q**4/9 + 1708*q**3/9 + 362944*q**2/9 - 732736*q/9 = 0.
-428, 0, 2
Factor -2*f**4 + 552*f**3 - 4822*f**2 + 4272*f.
-2*f*(f - 267)*(f - 8)*(f - 1)
Factor -z**2/5 - 95808*z/5 - 2294793216/5.
-(z + 47904)**2/5
Find f, given that 4*f**3 + 16196*f**2 - 16200*f = 0.
-4050, 0, 1
Factor 3*c**2/7 - 387*c/7 - 4860.
3*(c - 189)*(c + 60)/7
What is q in -2*q**3/9 - 2554*q**2/9 + 12808*q/9 - 5128/3 = 0?
-1282, 2, 3
Suppose -2*g**5/3 + 268*g**4/3 - 2764*g**3/3 + 7064*g**2/3 + 2970*g - 12300 = 0. Calculate g.
-2, 3, 5, 123
Determine s so that -s**5/4 + 231*s**4/4 - 457*s**3/4 - 231*s**2/4 + 229*s/2 = 0.
-1, 0, 1, 2, 229
Factor -x**2/4 + 666*x - 10592.
-(x - 2648)*(x - 16)/4
Solve 2*j**4/3 - 50042*j**3/3 - 300302*j**2/3 - 550582*j/3 - 100108 = 0.
-3, -2, -1, 25027
Find x such that 3*x**5 - 54*x**4 - 1410*x**3 - 3600*x**2 + 33375*x + 123750 = 0.
-10, -5, 5, 33
Factor -3*b**3/2 - 387*b**2 + 7185*b/2 - 3204.
-3*(b - 8)*(b - 1)*(b + 267)/2
Factor -5*t**3/2 - 348125*t**2 - 24238203125*t/2.
-5*t*(t + 69625)**2/2
Factor h**5 - 40*h**4 - 292*h**3 + 736*h**2.
h**2*(h - 46)*(h - 2)*(h + 8)
Determine l, given that 3*l**2 - 4431*l - 378594 = 0.
-81, 1558
Factor -5*t**2 - 587770*t - 17273678645.
-5*(t + 58777)**2
Factor -2*h**4/3 - 965108*h**3 - 465716725832*h**2 - 224733468917134928*h/3.
-2*h*(h + 482554)**3/3
Determine j, given that 