h.
-192, -7/2, 2
Determine t, given that 2*t**2/5 + 10114*t/5 - 60756/5 = 0.
-5063, 6
Determine p, given that 4*p**3 - 492*p**2 - 4720*p - 4224 = 0.
-8, -1, 132
Factor 2*t**2 + 911544*t + 103864057992.
2*(t + 227886)**2
Suppose -5*t**2/6 + 5135*t/6 + 14790 = 0. Calculate t.
-17, 1044
Factor -t**2 - 75957*t - 75956.
-(t + 1)*(t + 75956)
Factor 4*y**2 - 808*y + 18900.
4*(y - 175)*(y - 27)
Find y such that 4*y**3/3 + 1988*y**2 - 72004*y/3 + 70140 = 0.
-1503, 5, 7
Factor -2*d**4 + 86*d**3 - 80*d**2 - 168*d.
-2*d*(d - 42)*(d - 2)*(d + 1)
Factor 9*z**4/4 + 287*z**3/2 - 32*z**2.
z**2*(z + 64)*(9*z - 2)/4
Factor 245*w**4 - 8120*w**3 - 7095*w**2 - 1530*w.
5*w*(w - 34)*(7*w + 3)**2
Solve 9*y**4/5 - 2343*y**3/5 + 699*y**2/5 + 21087*y/5 - 1404 = 0.
-3, 1/3, 3, 260
Suppose -2*n**3 + 35232*n**2 - 176122*n + 211332 = 0. Calculate n.
2, 3, 17611
Let -522*l**4/5 + 5662*l**3/5 - 13728*l**2/5 - 2328*l/5 + 224/5 = 0. What is l?
-2/9, 2/29, 4, 7
Let 3*d**2 + 96762*d + 780240387 = 0. Calculate d.
-16127
Find a such that -3*a**4/5 - 6*a**3/5 + 237*a**2/5 + 1104*a/5 + 252 = 0.
-7, -3, -2, 10
Determine x so that 2*x**5/9 + 32*x**4/9 - 656*x**3/9 - 8192*x**2/9 + 4384*x - 4608 = 0.
-18, 2, 16
Determine n, given that -2*n**2/3 - 43522*n/3 - 43520/3 = 0.
-21760, -1
What is s in 5*s**2 - 3655*s - 162330 = 0?
-42, 773
What is v in -v**3/3 + 346936*v**2 - 693871*v + 1040806/3 = 0?
1, 1040806
Solve 3*h**2/4 + 7563*h/4 - 34155/2 = 0.
-2530, 9
Factor 288369*k**3/2 - 2016435*k**2/2 - 7516*k - 14.
(k - 7)*(537*k + 2)**2/2
Factor -12*v**2 + 10443*v + 7839.
-3*(v - 871)*(4*v + 3)
Factor 5*x**4 + 2415*x**3 + 285410*x**2 - 1522560*x - 4167520.
5*(x - 7)*(x + 2)*(x + 244)**2
Factor 3*u**3 + 513*u**2 - 2628*u + 2112.
3*(u - 4)*(u - 1)*(u + 176)
Factor -y**4/3 - 61*y**3/3 + 539*y**2/3 - 297*y + 138.
-(y - 6)*(y - 1)**2*(y + 69)/3
Let -2*c**2/15 + 3206*c/5 = 0. What is c?
0, 4809
Factor -18*q**4 - 737472*q**3 - 7553925692*q**2 - 5035704640*q - 839270450.
-2*(q + 20485)**2*(3*q + 1)**2
Factor 2*h**3/15 - 1828*h**2/15 + 21072*h/5.
2*h*(h - 878)*(h - 36)/15
Suppose 5*h**2 + 2170*h - 6555 = 0. What is h?
-437, 3
Find u, given that -u**4/3 - 28*u**3 - 1447*u**2/3 + 568*u + 3068/3 = 0.
-59, -26, -1, 2
Factor -3*g**3 - 618*g**2 + 657*g + 7452.
-3*(g - 4)*(g + 3)*(g + 207)
Determine p so that -9*p**4/8 + 678*p**3 + 1815*p**2/8 - 1809*p/4 = 0.
-1, 0, 2/3, 603
Find k, given that -k**3/4 + 24479*k**2/4 = 0.
0, 24479
What is r in 3*r**5 + 4824*r**4/7 + 275001*r**3/7 - 78966*r**2/7 = 0?
-123, -107, 0, 2/7
Let -3*y**5 - 792*y**4 + 2418*y**3 + 3996*y**2 - 2415*y - 3204 = 0. What is y?
-267, -1, 1, 4
Factor 2*c**3/5 - 3096*c**2 + 123744*c/5 - 247424/5.
2*(c - 7732)*(c - 4)**2/5
Factor -p**2/2 - 1976*p - 3951/2.
-(p + 1)*(p + 3951)/2
Suppose -8*j**4/5 + 1548*j**3/5 + 31068*j**2/5 + 65488*j/5 - 40704/5 = 0. Calculate j.
-16, -3, 1/2, 212
Solve p**4/4 - 137*p**3/2 + 8463*p**2/4 - 11743*p/2 + 3824 = 0.
1, 2, 32, 239
Determine b, given that -12*b**4 - 1876*b**3 + 3176*b**2 + 2512*b - 2528 = 0.
-158, -1, 2/3, 2
Find k such that -k**2/4 - 11187*k/4 - 8388 = 0.
-11184, -3
Suppose -k**2/6 - 82*k/3 + 767/2 = 0. Calculate k.
-177, 13
Factor t**3 - 581*t**2 - 23030*t + 101352.
(t - 618)*(t - 4)*(t + 41)
Let -4*i**2/7 - 1220*i/7 - 85104/7 = 0. Calculate i.
-197, -108
Factor -5*y**5/3 - 740*y**4 - 244190*y**3/3 + 165020*y**2 - 248645*y/3.
-5*y*(y - 1)**2*(y + 223)**2/3
Determine b, given that -5*b**2 + 16370*b - 13398845 = 0.
1637
Factor -2*z**5/15 - 236*z**4/5 - 280*z**3 - 8368*z**2/15 - 1856*z/5.
-2*z*(z + 2)**3*(z + 348)/15
Find m, given that 2*m**2/13 - 592512*m/13 + 43883808768/13 = 0.
148128
Let -3*n**4 - 4056*n**3 + 3*n**2 + 4056*n = 0. What is n?
-1352, -1, 0, 1
Factor -5*r**3/2 - 242385*r**2/2 - 2937403215*r/2 + 2937645605/2.
-5*(r - 1)*(r + 24239)**2/2
Let -5*o**4 + 830*o**3 + 8920*o**2 - 21120*o = 0. What is o?
-12, 0, 2, 176
Factor -14*t**3 - 2934*t**2 + 7196*t - 2544.
-2*(t - 2)*(t + 212)*(7*t - 3)
Factor 2*q**2 - 59120*q + 436896800.
2*(q - 14780)**2
Solve -y**5 - 260*y**4 - 1274*y**3 + 260*y**2 + 1275*y = 0.
-255, -5, -1, 0, 1
Determine o so that -4*o**2 - 427528*o - 11423761924 = 0.
-53441
Let 90236032*l**4/3 - 263864352*l**3 - 61074648*l**2 - 4658310*l - 118098 = 0. Calculate l.
-27/356, 9
Factor -2*p**2/7 - 1328*p/7 - 220448/7.
-2*(p + 332)**2/7
What is s in 15*s**4 + 252*s**3 + 1566*s**2 + 4260*s + 4275 = 0?
-5, -19/5, -3
Factor 2*w**3 + 638*w**2 + 6230*w + 15450.
2*(w + 5)**2*(w + 309)
Find g such that -2*g**3 + 652*g**2 + 89870*g + 2637800 = 0.
-55, 436
Factor -c**4/9 - 3262*c**3/9 - 874679*c**2/3 + 58918244*c/9 - 326235844/9.
-(c - 11)**2*(c + 1642)**2/9
Factor 2*x**5/7 - 15114*x**4/7 + 28546566*x**3/7 + 28561682*x**2/7.
2*x**2*(x - 3779)**2*(x + 1)/7
Find d such that 20*d**3/9 + 25096*d**2/9 + 45124*d/9 + 20048/9 = 0.
-1253, -1, -4/5
Suppose q**2 - 285*q + 1674 = 0. What is q?
6, 279
Factor 231*j**4 + 69*j**3 - 831*j**2 + 531*j.
3*j*(j - 1)**2*(77*j + 177)
Factor 4*n**3 + 7192*n**2 - 14400*n.
4*n*(n - 2)*(n + 1800)
Factor -2*s**3/5 - 1696*s**2/5 - 75808*s - 8147712/5.
-2*(s + 24)*(s + 412)**2/5
Suppose 3*s**3/5 - 3822*s**2/5 + 3813*s/5 + 7638/5 = 0. What is s?
-1, 2, 1273
Factor 4*u**4 - 24*u**3 - 3024*u**2 + 45016*u - 107508.
4*(u - 17)**2*(u - 3)*(u + 31)
Factor 4*x**3/5 + 152*x**2/5 - 1424*x/5 + 2208/5.
4*(x - 6)*(x - 2)*(x + 46)/5
Factor -22*y**2/5 + 2858*y/5 - 516.
-2*(y - 129)*(11*y - 10)/5
Find j, given that -3*j**4 - 702*j**3 - 10299*j**2 + 35856*j - 24852 = 0.
-218, -19, 1, 2
Solve -m**5 - 69*m**4 - 319*m**3 + 69*m**2 + 320*m = 0.
-64, -5, -1, 0, 1
Determine j so that -j**4/6 - 8119*j**3/6 + 6771*j**2 + 8124*j = 0.
-8124, -1, 0, 6
Find x such that 9*x**3/2 + 905793*x**2/2 - 603868*x + 201290 = 0.
-100645, 2/3
Determine i so that -i**4/3 - 115*i**3/3 - 109*i**2 + 1003*i/3 - 560/3 = 0.
-112, -5, 1
Determine n, given that 4*n**3 + 1240*n**2 - 157532*n + 156288 = 0.
-407, 1, 96
Factor j**3 - 599*j**2 - 600*j.
j*(j - 600)*(j + 1)
Find s, given that 2*s**4 - 1778*s**3 + 21090*s**2 - 36854*s + 17540 = 0.
1, 10, 877
Determine k so that 3*k**5/7 + 201*k**4/7 - 1518*k**3/7 + 2664*k**2/7 = 0.
-74, 0, 3, 4
Let -6*m**2 + 908*m/9 + 128 = 0. Calculate m.
-32/27, 18
Factor g**4 - 227968*g**3 + 12992580222*g**2 - 25984476544*g + 12992124289.
(g - 113983)**2*(g - 1)**2
Factor -5*v**3 - 11090*v**2 - 44255*v + 55350.
-5*(v - 1)*(v + 5)*(v + 2214)
Factor -2*u**2/3 + 96572*u/3 + 64384.
-2*(u - 48288)*(u + 2)/3
What is u in -21*u**2 - 1713543*u - 489582 = 0?
-81597, -2/7
Determine r, given that 2*r**2/3 + 11144*r + 46570776 = 0.
-8358
Let 2*a**5 + 214*a**4 - 304*a**3 - 319592*a**2 + 4700480*a - 4380800 = 0. What is a?
-74, 1, 20
Determine n, given that 5*n**2 - 10420*n - 10425 = 0.
-1, 2085
Suppose 4*g**3/3 + 9940*g**2/3 + 49616*g/3 + 39680/3 = 0. What is g?
-2480, -4, -1
Let -15*t**3 - 12*t**2 + 10140*t + 8112 = 0. Calculate t.
-26, -4/5, 26
What is v in 2*v**2 - 568786*v = 0?
0, 284393
Factor u**3/6 + 1907*u**2/6 - 2864*u/3 + 1910/3.
(u - 2)*(u - 1)*(u + 1910)/6
Solve -3*m**5/8 + 819*m**4/8 - 1617*m**3/8 - 2463*m**2/8 + 1629*m/2 - 813/2 = 0 for m.
-2, 1, 2, 271
Factor -n**2 - 4597*n + 41454.
-(n - 9)*(n + 4606)
Factor -2*s**2/9 + 962*s/9 - 424.
-2*(s - 477)*(s - 4)/9
Determine i so that 2*i**3/3 + 238*i**2/9 - 3446*i/9 + 374/3 = 0.
-51, 1/3, 11
Suppose 3*y**2 + 18*y - 21 = 0. Calculate y.
-7, 1
Determine d, given that 4*d**4 + 1000*d**3 + 2928*d**2 - 8872*d + 4940 = 0.
-247, -5, 1
What is d in d**2/5 + 4601*d/5 + 9198/5 = 0?
-4599, -2
Factor -16*b**2/11 - 1443*b/11 - 270/11.
-(b + 90)*(16*b + 3)/11
Determine g, given that -2*g**4/9 - 1886*g**3/9 - 22006*g**2/3 - 648754*g/9 - 1048492/9 = 0.
-907, -17, -2
Suppose z**5 + 479*z**4 + 58538*z**3 + 280366*z**2 - 58539*z - 280845 = 0. What is z?
-237, -5, -1, 1
Factor 96*m**2/7 + 1534*m/7 - 32/7.
2*(m + 16)*(48*m - 1)/7
Factor d**2/4 + 54*d - 1845.
(d - 30)*(d + 246)/4
Let 11*p**2 - 77222*p + 14040 = 0. Calculate p.
2/11, 7020
Solve 2*p**2 - 2077*p/2 - 780 = 0.
-3/4, 520
Factor 2*r**2/13 - 62308*r/13 + 485285858/13.
2*(r - 15577)**2/13
Determine f, given that 2*f**3/3 - 23596*f**2/9 + 6986*f + 2620 = 0.
-1/3, 3, 3930
Suppose 4*p**4/9 - 44*p**3/3 + 1072*p**2/9 - 784*p/3 + 1408/9 = 0. What is p?
1, 2, 8, 22
Suppose 2*z**3/11 - 22318*z**2/11 - 312746*z/11 - 1094