
Factor -2*w**2 + 5582*w - 480956.
-2*(w - 2702)*(w - 89)
Factor 3*l**2/5 - 2862648*l/5 + 682896130992/5.
3*(l - 477108)**2/5
Factor 4*t**3 - 340*t**2 - 5604*t + 5940.
4*(t - 99)*(t - 1)*(t + 15)
Let -4*l**3 - 15332*l**2 - 14638080*l + 103219200 = 0. Calculate l.
-1920, 7
Find r, given that 2*r**2/15 - 58*r/15 - 140 = 0.
-21, 50
Determine a, given that 5*a**2 + 6675*a - 20070 = 0.
-1338, 3
Factor -3*x**3 - 4383*x**2 - 373734*x + 378120.
-3*(x - 1)*(x + 92)*(x + 1370)
What is k in 3*k**4 - 13362*k**3 - 80244*k**2 - 160536*k - 107040 = 0?
-2, 4460
Determine b so that b**5 - 132*b**4 + 1433*b**3 + 13566*b**2 = 0.
-6, 0, 19, 119
Factor 2*c**2/7 + 60484*c/7 - 60486/7.
2*(c - 1)*(c + 30243)/7
Factor p**4/2 + 334*p**3 - 6763*p**2/2 + 5759*p - 2712.
(p - 8)*(p - 1)**2*(p + 678)/2
Suppose 4*a**2 - 329068*a + 329064 = 0. What is a?
1, 82266
Factor 5*p**4 + 5930*p**3 + 1905665*p**2 + 87420060*p + 1086632820.
5*(p + 26)**2*(p + 567)**2
Factor 12*u**3 - 7216706*u**2 + 1085018215776*u - 180836168832.
2*(u - 300696)**2*(6*u - 1)
Find c such that -c**4/2 + 541*c**3/4 + 1915*c**2/4 + 411*c/2 = 0.
-3, -1/2, 0, 274
Factor 5*h**5 - 5*h**4 - 325*h**3 + 1125*h**2.
5*h**2*(h - 5)**2*(h + 9)
Factor -z**2 + 3660*z - 3659.
-(z - 3659)*(z - 1)
Suppose -k**4 - 843*k**3 + 844*k**2 = 0. What is k?
-844, 0, 1
Factor 6*b**2/7 - 2742*b/7.
6*b*(b - 457)/7
Let -2*m**2/5 + 7438*m/5 + 14884/5 = 0. Calculate m.
-2, 3721
Find d, given that -32*d**3 - 916*d**2 + 3368*d - 2816 = 0.
-32, 11/8, 2
Determine c so that -104*c**3/7 + 3230*c**2/21 - 3214*c/21 + 296/21 = 0.
4/39, 1, 37/4
Let 3*u**2/4 + 505677*u/2 = 0. Calculate u.
-337118, 0
Let 2*r**4 + 2546*r**3 + 32830*r**2 + 88102*r - 123480 = 0. What is r?
-1260, -7, 1
Determine s so that 2*s**3/13 + 120*s**2/13 + 978*s/13 - 1100/13 = 0.
-50, -11, 1
Factor 3*t**3/2 + 3891*t**2 + 5046627*t/2.
3*t*(t + 1297)**2/2
Factor -2*i**4/5 + 1002*i**3/5 - 23384*i**2.
-2*i**2*(i - 316)*(i - 185)/5
Solve 5*s**4 + 112910*s**3 + 637207540*s**2 - 2550298190*s + 1912977735 = 0.
-11293, 1, 3
Determine b, given that b**4/2 + 3151*b**3 + 69241*b**2/2 + 125844*b + 150984 = 0.
-6291, -4, -3
Find j, given that 5*j**2 - 3607350*j + 650648701125 = 0.
360735
Factor 3*a**3/2 + 231*a**2/2 - 117*a.
3*a*(a - 1)*(a + 78)/2
Determine n so that 2*n**5/5 + 1054*n**4/5 + 6222*n**3/5 - 15718*n**2/5 - 9136*n + 87528/5 = 0.
-521, -7, -3, 2
Factor -c**2/6 - 321*c/2 - 3820/3.
-(c + 8)*(c + 955)/6
Factor -20*u**3 + 1115*u**2 - 15400*u - 3920.
-5*(u - 28)**2*(4*u + 1)
Let -3*b**3/8 - 408027*b**2/8 - 1734255009*b - 1734204006 = 0. Calculate b.
-68004, -1
What is k in -2*k**5/13 - 248*k**4/13 + 4762*k**3/13 - 4512*k**2/13 = 0?
-141, 0, 1, 16
Let -k**3/2 - 2*k**2 + 51*k/2 - 45 = 0. What is k?
-10, 3
Let 2*y**4/5 + 478*y**3/5 + 1404*y**2/5 - 2848*y/5 - 3776/5 = 0. Calculate y.
-236, -4, -1, 2
Factor 2*g**3/13 - 12*g**2/13 - 176*g + 4608/13.
2*(g - 36)*(g - 2)*(g + 32)/13
Solve c**3/5 + 396*c**2 + 23603*c/5 - 25584/5 = 0 for c.
-1968, -13, 1
Solve -4*f**5 - 3428*f**4 + 69900*f**3 - 227980*f**2 + 35464*f + 336768 = 0 for f.
-877, -1, 2, 3, 16
Factor -y**4/2 + 83*y**3/2 + 255*y**2/2 + 257*y/2 + 43.
-(y - 86)*(y + 1)**3/2
Solve 6*o**4/5 + 764*o**3/5 + 24322*o**2/5 + 7516*o/5 - 16048/5 = 0.
-68, -59, -1, 2/3
Factor -3*j**2 - 44964*j - 179808.
-3*(j + 4)*(j + 14984)
Let 6*j**2/11 + 21072*j/11 + 21066/11 = 0. Calculate j.
-3511, -1
Solve -5*y**5 - 305*y**4 - 1335*y**3 + 92025*y**2 - 278640*y - 1676700 = 0.
-46, -30, -3, 9
Solve -2*x**3 + 10*x**2 + 2074*x + 22542 = 0.
-17, 39
Determine f so that -123*f**5/5 + 8124*f**4/5 + 5013*f**3 - 150*f**2 - 33972*f/5 + 1656/5 = 0.
-2, 2/41, 1, 69
Factor 4*b**3 + 800*b**2 - 1756*b - 28280.
4*(b - 7)*(b + 5)*(b + 202)
Let 7*m**4 + 2987*m**3 - 861*m**2 - 2987*m + 854 = 0. Calculate m.
-427, -1, 2/7, 1
Factor -2*o**2/17 + 13098*o/17 - 26188/17.
-2*(o - 6547)*(o - 2)/17
Find t such that t**5/8 - 173*t**4/8 + 495*t**3/8 + 2533*t**2/8 + 721*t/2 + 255/2 = 0.
-1, 6, 170
Find s such that 5*s**4/3 - 3089*s**3/3 - 13058*s**2/3 - 2488*s/3 = 0.
-4, -1/5, 0, 622
Find s, given that 3*s**3 + 177*s**2 + 2265*s + 2091 = 0.
-41, -17, -1
Determine s so that -s**5 - 188*s**4 - 1986*s**3 - 6948*s**2 - 7965*s = 0.
-177, -5, -3, 0
Factor -3*q**3 - 57492*q**2 + 1035585*q - 4661226.
-3*(q - 9)**2*(q + 19182)
Solve 5*d**2 + 3880*d + 11595 = 0 for d.
-773, -3
Solve -3*w**5 - 90*w**4 + 435*w**3 + 810*w**2 - 3672*w = 0.
-34, -3, 0, 3, 4
Suppose 76275*a**5/4 - 70515*a**4/2 - 4359*a**3 + 18918*a**2 + 5760*a + 96 = 0. What is a?
-2/5, -2/113, 4/3
Let 2*j**2/5 + 1465076*j/5 + 268305960722/5 = 0. What is j?
-366269
Factor -3*m**3/7 - 21471*m**2/7 + 55350*m.
-3*m*(m - 18)*(m + 7175)/7
Factor 4*r**2/5 + 40968*r/5 - 40972/5.
4*(r - 1)*(r + 10243)/5
Suppose 6*r**3/5 + 166*r**2/5 - 12*r - 112/5 = 0. Calculate r.
-28, -2/3, 1
Determine o, given that -28*o**3 - 26164*o**2 - 11168*o + 37360 = 0.
-934, -10/7, 1
Determine p, given that -3*p**2/5 + 4497*p/5 - 79242 = 0.
94, 1405
Factor 2*a**3/9 - 358*a**2/3 + 942*a - 7406/9.
2*(a - 529)*(a - 7)*(a - 1)/9
Factor -4*q**4 - 180*q**3 - 984*q**2 - 1904*q - 1248.
-4*(q + 2)**3*(q + 39)
Factor -t**3 + 292*t**2 + 4284*t.
-t*(t - 306)*(t + 14)
Factor 2*j**3/3 - 51334*j**2/3.
2*j**2*(j - 25667)/3
Find s such that -s**4 - 31*s**3 + 573*s**2 + 31*s - 572 = 0.
-44, -1, 1, 13
Let -o**2/3 - 270726*o - 54969425307 = 0. Calculate o.
-406089
Let -2*d**4 + 416*d**3 + 2116*d**2 + 2976*d + 1278 = 0. What is d?
-3, -1, 213
Factor 144*o**5 - 3504*o**4 - 25148*o**3 + 565312*o**2 + 3748096*o.
4*o*(o + 8)**2*(6*o - 121)**2
What is j in -4*j**2 + 6356*j + 300840 = 0?
-46, 1635
Factor -125*r**3 + 17780*r**2 - 634385*r + 151230.
-5*(r - 71)**2*(25*r - 6)
Find y such that 13*y**2/5 - 448866*y/5 + 69056/5 = 0.
2/13, 34528
Suppose -6156*x**2 - 6956*x - 800 = 0. What is x?
-1, -200/1539
Solve 21*g**4 + 214068*g**3 - 61185*g**2 - 214068*g + 61164 = 0 for g.
-10194, -1, 2/7, 1
Factor 4*u**4/7 - 232*u**3/7 + 660*u**2/7.
4*u**2*(u - 55)*(u - 3)/7
Factor 3*j**3 - 1476*j**2 + 4371*j + 14670.
3*(j - 489)*(j - 5)*(j + 2)
Solve 5*l**4/3 - 3475*l**3/3 - 78265*l**2/3 - 144595*l = 0.
-11, 0, 717
What is l in 3*l**2/4 - 107571*l/2 + 3857173347/4 = 0?
35857
Find w, given that w**3 - 2256*w**2 + 4508*w = 0.
0, 2, 2254
Find i, given that -450*i**5 + 30990*i**4 - 222662*i**3 + 409098*i**2 + 57552*i + 1952 = 0.
-1/15, 4, 61
Determine a so that -27*a**4/4 - 18045*a**3/4 - 5997*a**2/4 + 10017*a/4 - 501 = 0.
-668, -1, 1/3
Let 2*k**4 - 2184*k**3 + 286362*k**2 - 566180*k + 282000 = 0. What is k?
1, 150, 940
Solve -5*m**4 - 4095*m**3 - 8175*m**2 - 4085*m = 0.
-817, -1, 0
Factor 2*q**3/15 - 28*q**2/15 - 254*q/15 + 56/3.
2*(q - 20)*(q - 1)*(q + 7)/15
Let -4*h**3/3 + 396*h**2 + 17476*h/3 - 6220 = 0. What is h?
-15, 1, 311
Factor -3*g**3/2 - 183957*g**2/2 - 367896*g - 367890.
-3*(g + 2)**2*(g + 61315)/2
Solve -2*n**2/5 - 3864*n/5 + 7736/5 = 0 for n.
-1934, 2
Factor 5*i**4 - 1270*i**3 + 11145*i**2 - 29500*i + 24500.
5*(i - 245)*(i - 5)*(i - 2)**2
Factor q**2 + 14391*q - 14392.
(q - 1)*(q + 14392)
Factor -g**2/4 - 5553*g/2 + 5554.
-(g - 2)*(g + 11108)/4
Factor q**3/4 + 365*q**2/2 + 2868*q + 8568.
(q + 4)*(q + 12)*(q + 714)/4
Let 500*u**5 - 585*u**4 - 8425*u**3 - 6045*u**2 + 1445*u + 150 = 0. Calculate u.
-3, -1, -2/25, 1/4, 5
Let -3*f**3/8 + 585*f**2/4 - 1167*f/8 = 0. What is f?
0, 1, 389
Factor 4*m**4 - 164*m**3 + 468*m**2 - 460*m + 152.
4*(m - 38)*(m - 1)**3
Let -2*v**2/15 + 14864*v/5 = 0. What is v?
0, 22296
Suppose -2*q**2/7 - 748*q/7 - 21888/7 = 0. What is q?
-342, -32
Factor 4*q**2 - 487407*q/2 - 30463.
(q - 60926)*(8*q + 1)/2
Suppose q**4 + 216*q**3 + 2091*q**2 + 6416*q + 6180 = 0. Calculate q.
-206, -5, -3, -2
Let -84640*v**3 + 747040*v**2 - 1445730*v - 920205 = 0. Calculate v.
-1/2, 429/92
Solve -m**3/3 - 322*m**2/3 - 25649*m/3 + 25972/3 = 0 for m.
-172, -151, 1
Factor -4*u**3 + 160*u**2 + 1292*u + 1128.
-4*(u - 47)*(u + 1)*(u + 6)
Factor 2*i**2/7 - 2553504*i/7 + 815047834752/7.
2*(i - 638376)**2/7
Solve -254*i**4 - 1779*i**3 - 1531*i**2 - 6*i = 0.
-6, -1, -1/254, 0
Solve -g**5 + 381*g**4 - 36845*g**3 + 103383*g**2 + 357210*g = 0.
-2, 0, 5, 189
Suppose 2*t**4 - 55572*t**3 + 222246*t**2 + 277820*t = 0. What is t?
-1, 0, 5, 27782
Let 35*a**4/3 + 43520*a**3 + 3536635*a**2/3 + 333270*a = 0. What is a