-24, -16, -1, 4
Determine g so that -5*g**4 - 4545*g**3 - 45065*g**2 - 103455*g - 62930 = 0.
-899, -7, -2, -1
Suppose -15*c**4 - 81*c**3 - 21*c**2 + 45*c = 0. Calculate c.
-5, -1, 0, 3/5
Factor -4*n**2 + 30648*n + 61312.
-4*(n - 7664)*(n + 2)
Find r, given that 4*r**5 + 887*r**4/2 + 20049*r**3/2 + 63812*r**2 - 8134*r = 0.
-83, -14, 0, 1/8
Let 36*p**5 - 12342*p**4/5 - 185098*p**3/5 + 311194*p**2/5 - 143946*p/5 + 20412/5 = 0. What is p?
-14, 1/3, 9/10, 81
Factor -505*q**3 - 47485*q**2/2 - 705*q/2.
-5*q*(q + 47)*(202*q + 3)/2
What is h in -3*h**4/8 - 123*h**3/4 - 177*h**2/2 + 123*h/4 + 711/8 = 0?
-79, -3, -1, 1
Factor 3*f**3 + 188220*f**2 + 376431*f + 188214.
3*(f + 1)**2*(f + 62738)
What is j in 3*j**4 + 123*j**3/2 - 26433*j**2 - 79503*j/2 - 13260 = 0?
-104, -1, -1/2, 85
What is v in -2*v**4/5 + 3948*v**3/5 + 7912*v**2/5 - 15792*v/5 - 31616/5 = 0?
-2, 2, 1976
Find s such that -81*s**4/5 - 314163*s**3/5 - 488434*s**2/5 + 263628*s/5 - 31016/5 = 0.
-3877, -2, 2/9
Solve -2*j**4/7 + 2*j**3/7 + 242*j**2/7 + 130*j = 0.
-7, -5, 0, 13
Let -2*l**3 - 27548*l**2/7 - 483528*l/7 + 140400/7 = 0. Calculate l.
-1950, -18, 2/7
Solve f**3/3 - 3787*f**2/3 = 0 for f.
0, 3787
Factor -2*p**2/7 - 526*p/7 + 70104.
-2*(p - 381)*(p + 644)/7
Factor 2*v**4 - 8080*v**3 + 8055084*v**2 + 213546320*v + 1396984082.
2*(v - 2033)**2*(v + 13)**2
Let -4*j**5 + 400*j**4 + 516*j**3 - 11008*j**2 - 30512*j - 19392 = 0. Calculate j.
-4, -2, -1, 6, 101
What is y in -y**5/5 - 16*y**4/5 - 33*y**3/5 + 198*y**2/5 + 216*y/5 = 0?
-12, -6, -1, 0, 3
Find s such that 2*s**2/3 + 2618*s/3 = 0.
-1309, 0
Solve -612*h**5 + 6128*h**4 - 19052*h**3 + 18608*h**2 - 240*h = 0.
0, 2/153, 2, 3, 5
Factor l**2/11 - 722*l/11 - 75795/11.
(l - 815)*(l + 93)/11
Solve 2*m**5/5 + 2374*m**4/15 + 5984*m**3/5 + 40408*m**2/15 + 7232*m/5 - 12416/15 = 0.
-388, -4, -2, 1/3
Factor h**2/3 + 378920*h/3 + 35895091600/3.
(h + 189460)**2/3
Factor -3*l**2/7 - 8210124*l/7 - 5617178007948/7.
-3*(l + 1368354)**2/7
Suppose 2*r**4/9 - 20*r**3 - 2002*r**2/9 + 20*r + 2000/9 = 0. What is r?
-10, -1, 1, 100
Factor 84*c**3/5 + 18152*c**2/5 + 981504*c/5 + 93312/5.
4*(c + 108)**2*(21*c + 2)/5
Factor -4*k**2/5 + 12820256*k/5 - 10272435244096/5.
-4*(k - 1602532)**2/5
Let -5*g**2 - 904590*g - 904585 = 0. What is g?
-180917, -1
Determine m so that -15*m**5 - 58145*m**4/4 + 86400*m**3 - 511605*m**2/4 + 131605*m/2 - 9750 = 0.
-975, 1/4, 2/3, 1, 4
Factor -w**5 + 52916*w**4 - 933350046*w**3 + 5487164885156*w**2 + 5488098288119*w.
-w*(w - 17639)**3*(w + 1)
Factor 2*l**4/7 - 264*l**3/7 - 58080*l**2/7 - 2896256*l/7 - 44977152/7.
2*(l - 264)*(l + 44)**3/7
Factor m**2 - 29613*m - 88848.
(m - 29616)*(m + 3)
Let d**4/4 - 1907*d**3/4 - 478*d**2 + 1907*d + 1908 = 0. What is d?
-2, -1, 2, 1908
Factor 8*c**4/3 + 125*c**3/3 + 592*c**2/3 + 784*c/3 - 128.
(c + 4)**2*(c + 8)*(8*c - 3)/3
Suppose -4*p**4 - 528*p**3 + 1608*p**2 - 1616*p + 540 = 0. What is p?
-135, 1
Find k such that -5*k**5 + 1065*k**4 - 27490*k**3 - 3366800*k**2 - 9891840*k - 6553600 = 0.
-40, -2, -1, 128
Factor -2*o**2/13 - 225592*o/13 - 225590/13.
-2*(o + 1)*(o + 112795)/13
Solve -k**4/5 - 58*k**3/5 - 164*k**2/5 + 58*k/5 + 33 = 0.
-55, -3, -1, 1
Let 5*n**3/3 + 1081657*n**2/3 + 58498768784*n/3 - 11699883556 = 0. What is n?
-108166, 3/5
Factor -h**4/5 + 303*h**3/5 + 41847*h**2/5 + 329929*h + 20970342/5.
-(h - 414)*(h + 37)**3/5
Factor -3*a**3 + 19572*a**2 - 31921932*a.
-3*a*(a - 3262)**2
Factor 2*t**4/3 + 271*t**3/3 - 136*t**2/3.
t**2*(t + 136)*(2*t - 1)/3
Factor -3*b**2 - 369135*b - 369132.
-3*(b + 1)*(b + 123044)
What is y in 2*y**5/3 - 170*y**4/3 - 2626*y**3/3 + 300314*y**2/3 + 2482480*y/3 + 5002400/3 = 0?
-37, -4, 65
Find l such that 4*l**4/9 + 2000*l**3 = 0.
-4500, 0
Factor 3*n**3 - 144*n**2 - 27675*n.
3*n*(n - 123)*(n + 75)
Determine b, given that -18*b**4/11 + 634*b**3/11 + 1496*b**2 - 39256*b/11 + 7904/11 = 0.
-19, 2/9, 2, 52
Factor -3*l**4 - 204*l**3 + 668148*l**2 + 22834944*l - 37589004288.
-3*(l - 318)**2*(l + 352)**2
Factor 3*p**2 + 44508*p - 133551.
3*(p - 3)*(p + 14839)
Factor -4*m**3 - 3978200*m**2 - 989129702500*m.
-4*m*(m + 497275)**2
Suppose 5*y**3/3 - 125*y**2 - 4730*y/3 = 0. What is y?
-11, 0, 86
Solve 15*a**3/2 + 453*a**2 - 23790*a - 9588 = 0.
-94, -2/5, 34
Determine z so that 2*z**3/11 + 1940*z**2/11 - 6154*z + 580312/11 = 0.
-1004, 17
Factor 2*n**3 + 50*n**2 - 4*n - 2208.
2*(n - 6)*(n + 8)*(n + 23)
Factor 4*a**2 + 19248*a + 38480.
4*(a + 2)*(a + 4810)
Factor 48*m**3 + 73272*m**2 + 28035555*m + 55778406.
3*(m + 2)*(4*m + 3049)**2
Solve 325*l**2/3 + 6502*l/3 + 40/3 = 0.
-20, -2/325
Factor -2*p**2/15 + 92764*p/15 - 1075644962/15.
-2*(p - 23191)**2/15
Let 36*d**5 - 2019*d**4 + 18705*d**3 + 19215*d**2 - 3261*d - 1716 = 0. Calculate d.
-1, -1/4, 1/3, 13, 44
Determine m so that m**5/2 - 507*m**4/2 + 79055*m**3/2 - 3498693*m**2/2 - 39528*m + 1749600 = 0.
-1, 1, 75, 216
Factor -5*u**3/3 + 6293995*u**2/3 - 660238502000*u - 660240600000.
-5*(u - 629400)**2*(u + 1)/3
Let v**3 - 1135*v**2 + 324875*v - 1596125 = 0. What is v?
5, 565
Let u**2/5 + 4737*u/5 + 18868 = 0. Calculate u.
-4717, -20
Suppose 2*r**3/5 + 726*r**2/5 - 728*r/5 = 0. Calculate r.
-364, 0, 1
Determine r, given that -r**2 + 287*r + 578 = 0.
-2, 289
Factor -2*d**2/3 - 4064*d/3 + 114102.
-2*(d - 81)*(d + 2113)/3
Solve 4*z**3/3 - 15136*z**2/3 + 14318656*z/3 = 0 for z.
0, 1892
Factor -2*d**2 + 30802*d.
-2*d*(d - 15401)
Factor -2*q**2/17 - 16112*q/17 - 16110/17.
-2*(q + 1)*(q + 8055)/17
Determine o so that -4*o**2 + 150592*o - 1417371904 = 0.
18824
Find h such that 2*h**3 - 23020*h**2 + 66217024*h + 132526144 = 0.
-2, 5756
Solve i**2/4 + 3898*i + 15194404 = 0.
-7796
Find q such that -4*q**2 + 154824*q - 1498154436 = 0.
19353
Let x**2 + 2844*x + 196883 = 0. What is x?
-2773, -71
Determine z, given that 3*z**3/8 - 1161*z**2/8 + 6318*z - 73224 = 0.
24, 339
Factor -w**3/4 + 617*w**2/4 + 24529*w/4 + 236455/4.
-(w - 655)*(w + 19)**2/4
Solve 44*j**4 - 7388*j**3 + 323544*j**2 - 1071248*j - 3496480 = 0.
-2, 65/11, 82
Let -2*g**3 + 11134*g**2 - 15490176*g - 15501312 = 0. What is g?
-1, 2784
Solve 5*l**2/3 + 2720*l - 8175 = 0 for l.
-1635, 3
Factor 4*i**5 - 45168*i**4 + 127373700*i**3 + 765326552*i**2 + 1531376112*i + 1021158432.
4*(i - 5649)**2*(i + 2)**3
Factor 4*g**3 - 38200*g**2 - 420852*g + 1606248.
4*(g - 9561)*(g - 3)*(g + 14)
Find r such that 2*r**3 + 131256*r**2 + 525000*r + 524992 = 0.
-65624, -2
Find x, given that 35*x**2 - 3980*x + 21600 = 0.
40/7, 108
Let 9*v**4/7 + 1146*v**3/7 + 25323*v**2/7 + 7554*v/7 - 2376 = 0. What is v?
-99, -28, -1, 2/3
Suppose 104*p**3/3 - 2926*p**2/9 + 334*p/3 + 60 = 0. Calculate p.
-15/52, 2/3, 9
Suppose c**4/2 + 1987*c**3/4 - 17015*c**2/4 + 4763*c + 3507 = 0. Calculate c.
-1002, -1/2, 2, 7
Solve 4*p**2 + 55912*p + 111808 = 0.
-13976, -2
Let -12*q**5/5 + 846*q**4/5 - 14064*q**3/5 + 72006*q**2/5 - 114912*q/5 + 8232 = 0. Calculate q.
1/2, 2, 5, 14, 49
Factor -3*w**2/2 + 1499*w/4 + 1505/4.
-(w + 1)*(6*w - 1505)/4
Solve -4*u**2 + 498888*u - 15555577284 = 0 for u.
62361
Factor 4*h**3 - 520*h**2 + 16900*h.
4*h*(h - 65)**2
Factor 27*g**3 + 143499*g**2 - 175422*g + 31896.
3*(g - 1)*(g + 5316)*(9*g - 2)
What is t in -11*t**5 - 170*t**4 + 1691*t**3 - 4786*t**2 + 5172*t - 1656 = 0?
-23, 6/11, 2, 3
Solve -c**4/2 - 43*c**3 - 986*c**2 - 3477*c + 41013/2 = 0 for c.
-49, -31, -9, 3
What is j in -j**2/5 - 219814*j/5 - 12079548649/5 = 0?
-109907
Let -n**3 + 69*n**2 + 70*n = 0. What is n?
-1, 0, 70
What is k in -6*k**5 + 561*k**4 - 4401*k**3 + 5631*k**2 - 1785*k = 0?
0, 1/2, 1, 7, 85
Determine n, given that n**3/5 + 86*n**2/5 - 1891*n/5 - 1976/5 = 0.
-104, -1, 19
Suppose i**2/3 + 93148*i/3 + 2169137476/3 = 0. Calculate i.
-46574
Find x such that 4*x**4 + 100*x**3 - 16*x**2 - 400*x = 0.
-25, -2, 0, 2
Factor -q**2/5 + 2461*q/5 + 4926/5.
-(q - 2463)*(q + 2)/5
Factor -y**3/4 - 161*y**2 - 26860*y - 299568.
-(y + 12)*(y + 316)**2/4
Factor -2*d**2/5 + 14158*d/5 + 99596.
-2*(d - 7114)*(d + 35)/5
Factor -2*k**3/9 + 8104*k**2/9 + 32440*k/9 + 10816/3.
-2*(k - 4056)*(k + 2)**2/9
Factor 5*l**4 - 1010*l**3 - 24035*l**2 - 135520*l.
5*l*(l - 224)*(l + 11)**2
Solve 2*k**2/11 + 7609960*k/11 + 7238936400200/11 = 0 for k.
-1902490
Factor -2*s**3/7 - 10*s**2 - 484*s/7 - 416/7.
-2*(s + 1)*(s + 8)*(s + 26)/7
Let -3*s**4 - 4191*s**3 - 62367