3 + 128*w**2 - 27520*w = 0?
-2, 0, 4, 215
Suppose 3*w**3 - 813*w**2 + 4008*w - 4788 = 0. Calculate w.
2, 3, 266
Suppose 4*w**4/5 + 3396*w**3/5 + 40176*w**2/5 = 0. What is w?
-837, -12, 0
Factor 5*y**3/6 + 225*y**2 - 17735*y/2 + 25925/3.
5*(y - 34)*(y - 1)*(y + 305)/6
Factor r**2/8 - 81*r/2 + 963/8.
(r - 321)*(r - 3)/8
Find c such that -2*c**4/17 - 3202*c**3/17 - 72908*c**2/17 - 505560*c/17 - 946800/17 = 0.
-1578, -10, -3
Factor -5*l**3 + 40*l**2 + 5625*l + 16380.
-5*(l - 39)*(l + 3)*(l + 28)
Factor -2*v**2 - 123260*v + 123262.
-2*(v - 1)*(v + 61631)
Let c**3/7 - 12*c**2/7 - 76*c/7 + 96 = 0. What is c?
-8, 6, 14
Factor -n**3/5 + 123*n**2/5 + 28032*n/5 + 1028096/5.
-(n - 251)*(n + 64)**2/5
Determine u so that -u**3/3 - 1252*u**2/3 + 3763*u/3 - 2510/3 = 0.
-1255, 1, 2
Factor 4*l**3/3 - 124*l**2/3 + 976*l/3 - 640.
4*(l - 20)*(l - 8)*(l - 3)/3
Suppose 10*y**3 - 5555*y**2 + 13840*y - 8295 = 0. What is y?
1, 3/2, 553
Suppose 20*h**3 - 752*h**2 + 4496*h + 1920 = 0. What is h?
-2/5, 8, 30
Solve -f**3 + 380*f**2 - 14153*f - 14534 = 0 for f.
-1, 43, 338
Solve 2*g**5 - 662*g**4 + 80574*g**3 - 4227866*g**2 + 76353200*g + 269340000 = 0 for g.
-3, 67, 100
Solve 1091*f**2 - 110187*f - 404 = 0 for f.
-4/1091, 101
Solve -3*s**4 + 171*s**3 - 1032*s**2 - 1116*s + 10800 = 0.
-3, 4, 6, 50
Factor 5*m**3 - 565*m**2 - 3545*m - 2975.
5*(m - 119)*(m + 1)*(m + 5)
Factor -76*r**3 - 92*r**2 - 16*r.
-4*r*(r + 1)*(19*r + 4)
Determine b so that -b**2/2 - 127*b/2 + 13209 = 0.
-238, 111
Factor -3*d**3/2 + 921*d**2/2 - 67353*d/2 - 517629/2.
-3*(d - 157)**2*(d + 7)/2
Solve 4*c**3 - 772*c**2 - 5024*c + 210672 = 0 for c.
-19, 14, 198
Let 4*j**5 + 1226*j**4 + 45670*j**3 + 444318*j**2 - 233730*j = 0. What is j?
-265, -21, 0, 1/2
Factor -5*b**2 - 129170*b - 1162125.
-5*(b + 9)*(b + 25825)
Solve -q**3/2 - 1011*q**2/2 + 8161*q/2 + 9171/2 = 0.
-1019, -1, 9
Determine k, given that 5*k**4 + 1265*k**3 - 29925*k**2 + 92755*k + 929500 = 0.
-275, -4, 13
Factor -b**2/3 - 401*b/3 - 1048.
-(b + 8)*(b + 393)/3
Find l such that -2*l**3 + 213396*l**2 - 5692018200*l - 11384890000 = 0.
-2, 53350
Factor -5*m**3/2 + 157*m**2/2 - 174*m.
-m*(m - 29)*(5*m - 12)/2
Determine h, given that 5*h**4 - 302360*h**3 + 4570776110*h**2 + 9142459320*h + 4571380845 = 0.
-1, 30237
Factor o**2/3 - 1268*o/3 + 5056/3.
(o - 1264)*(o - 4)/3
Determine m, given that m**5 - 1924*m**4 - 137382*m**3 - 268988*m**2 - 133531*m = 0.
-67, -1, 0, 1993
Factor -2*o**5/7 + 4638*o**4/7 + 13932*o**3/7.
-2*o**3*(o - 2322)*(o + 3)/7
Let -2*d**4/7 - 1964*d**3/7 + 21846*d**2/7 = 0. Calculate d.
-993, 0, 11
Factor -2*j**2/5 + 77122*j/5.
-2*j*(j - 38561)/5
Suppose 5*w**2 + 296960*w - 296965 = 0. Calculate w.
-59393, 1
Factor 3*i**3/5 - 729*i**2/5 + 9072*i - 25920.
3*(i - 120)**2*(i - 3)/5
What is d in 92*d**2/3 - 4226*d/3 - 92 = 0?
-3/46, 46
Determine w, given that -575*w**2 - 253565*w + 4410 = 0.
-441, 2/115
Factor -3*q**2 - 459*q + 3360.
-3*(q - 7)*(q + 160)
Factor t**3/2 + 9699*t**2/2 - 19401*t/2 + 9701/2.
(t - 1)**2*(t + 9701)/2
What is u in -768*u**3 + 150048*u**2 - 56187*u + 5265 = 0?
3/16, 195
Factor -4*q**2 - 1248*q + 18256.
-4*(q - 14)*(q + 326)
Find q, given that -q**4/5 + 76378*q**3/5 - 1458476097*q**2/5 + 2916723064*q/5 - 1458323344/5 = 0.
1, 38188
Find j such that -25*j**4 + 510*j**3 + 485*j**2 - 24090*j + 42560 = 0.
-7, 2, 32/5, 19
Factor 25*p**2 - 174051*p + 6962.
(p - 6962)*(25*p - 1)
Suppose -2*z**3/7 + 52*z**2/7 - 66*z/7 - 720/7 = 0. What is z?
-3, 5, 24
Factor 2*p**5 + 622*p**4 + 48670*p**3 + 48050*p**2.
2*p**2*(p + 1)*(p + 155)**2
Solve d**2 - 27594*d + 190357209 = 0.
13797
Factor -4*p**3 - 16*p**2 + 100*p + 112.
-4*(p - 4)*(p + 1)*(p + 7)
Find q, given that 4*q**2 + 232*q + 448 = 0.
-56, -2
Factor -u**2 + 6684*u - 6683.
-(u - 6683)*(u - 1)
Solve m**5/11 + 21*m**4/11 + 50*m**3/11 - 72*m**2/11 = 0.
-18, -4, 0, 1
Let 30*j**3/13 + 392*j**2/13 - 392*j/13 = 0. What is j?
-14, 0, 14/15
Factor -5*f**4/6 + 2615*f**3/6 - 46075*f**2/2 + 2557685*f/6 - 7990735/3.
-5*(f - 466)*(f - 19)**3/6
Let -14*m**4 - 7206*m**3 - 157428*m**2 - 477920*m + 149568 = 0. Calculate m.
-492, -19, -4, 2/7
Determine g so that -3*g**4/2 + 13435*g**3/2 - 17907*g**2/2 - 4479*g/2 + 4477 = 0.
-2/3, 1, 4477
Factor -5*v**3/3 + 542*v**2/3 + 2024*v/3 - 896/3.
-(v - 112)*(v + 4)*(5*v - 2)/3
Find w such that -w**2/2 + 353*w + 2127/2 = 0.
-3, 709
Determine v, given that 2*v**3/7 - 198*v**2/7 + 2260*v/7 - 2064/7 = 0.
1, 12, 86
Factor -x**3/6 + 16221*x**2/2 - 98666260*x - 296023112/3.
-(x - 24332)**2*(x + 1)/6
Factor 8*m**2/13 + 1086*m/13 - 344.
2*(m - 4)*(4*m + 559)/13
Factor -d**2 - 56758*d - 805367641.
-(d + 28379)**2
Factor -s**2 + 484*s - 3808.
-(s - 476)*(s - 8)
Determine o, given that -5*o**2 + 85*o + 4290 = 0.
-22, 39
Factor i**3/7 + 28669*i**2/7 - 57342*i/7.
i*(i - 2)*(i + 28671)/7
Factor 5*n**3 - 16601*n**2 + 13781320*n - 2755600.
(n - 1660)**2*(5*n - 1)
Suppose -2*h**2 + 1608*h + 50040 = 0. Calculate h.
-30, 834
Let 3*u**3 - 10992*u**2 - 22005*u + 32994 = 0. Calculate u.
-3, 1, 3666
Let -m**4/7 - 116*m**3/7 + 1373*m**2/7 - 3084*m/7 - 4572/7 = 0. What is m?
-127, -1, 6
Determine s so that 1862*s**5/11 - 2533482*s**4/11 - 953654*s**3/11 + 118054*s**2 - 272208*s/11 + 10888/11 = 0.
-1, 1/19, 2/7, 1361
Solve -d**3 + 3531*d**2 - 21123*d - 95175 = 0.
-3, 9, 3525
Find b, given that -b**4/10 - 93*b**3/10 - 2207*b**2/10 - 423*b/2 = 0.
-47, -45, -1, 0
Suppose -i**4/2 - 662*i**3 + 3987*i**2/2 + 3977*i - 5308 = 0. What is i?
-1327, -2, 1, 4
Solve x**2/6 - 10844*x/3 - 43384/3 = 0 for x.
-4, 21692
Find n, given that 4*n**5 - 636*n**4 + 4840*n**3 - 888*n**2 - 48620*n + 45300 = 0.
-3, 1, 5, 151
Suppose 5*a**5 + 280*a**4 - 46670*a**3 + 316460*a**2 - 670935*a + 400860 = 0. Calculate a.
-131, 1, 3, 68
Factor 2*g**3/7 - 249960*g**2/7 + 7810000200*g/7.
2*g*(g - 62490)**2/7
Suppose -5*u**5 - 60*u**4 - 70*u**3 + 840*u**2 + 2475*u + 1620 = 0. Calculate u.
-9, -3, -1, 4
Let 1588*m**3 + 108*m**2 = 0. Calculate m.
-27/397, 0
Solve -4*h**2 + 11068*h - 1310928 = 0 for h.
124, 2643
Factor 5*m**5 - 5755*m**4 + 5750*m**3.
5*m**3*(m - 1150)*(m - 1)
Find v, given that 2*v**3/9 + 32038*v**2/9 + 256208*v/9 + 56928 = 0.
-16011, -4
Factor -2*v**2 - 82584*v - 82582.
-2*(v + 1)*(v + 41291)
Factor 3*o**5 - 39*o**4/8 + 3*o**3/4 + 9*o**2/8.
3*o**2*(o - 1)**2*(8*o + 3)/8
Find b such that -2*b**3/9 - 82*b**2/9 + 242*b/9 + 3010/9 = 0.
-43, -5, 7
Let 7*d**3 - 298*d**2 + 1201*d + 570 = 0. Calculate d.
-3/7, 5, 38
Determine g so that -g**4/2 - 3965*g**3 - 15721221*g**2/2 + 15860*g + 31442450 = 0.
-3965, -2, 2
Find h such that -3*h**5/7 - 114*h**4 - 3021*h**3 + 21948*h**2/7 = 0.
-236, -31, 0, 1
Factor o**3/2 - 1881*o**2/2 + 3756*o - 3754.
(o - 1877)*(o - 2)**2/2
Find l, given that -6*l**4/7 - 766*l**3 + 7278*l**2/7 + 105570*l/7 - 35800/7 = 0.
-895, -4, 1/3, 5
Factor 3*q**3/4 + 18075*q**2/4 - 9039*q/2.
3*q*(q - 1)*(q + 6026)/4
Solve 3*u**2/2 + 2889*u/2 - 23496 = 0.
-979, 16
Factor 5*g**3 - 3120*g**2 - 50880*g - 204800.
5*(g - 640)*(g + 8)**2
Let -6*d**3 - 604*d**2 - 12744*d + 128304 = 0. Calculate d.
-54, 22/3
Solve -2*j**4/7 - 22*j**3/7 + 7830*j**2/7 + 236574*j/7 + 91260 = 0 for j.
-39, -3, 70
Determine g so that 3*g**5 + 411*g**4 + 14253*g**3 + 13845*g**2 = 0.
-71, -65, -1, 0
Factor -3*z**4 + 1137*z**3 + 3*z**2 - 1137*z.
-3*z*(z - 379)*(z - 1)*(z + 1)
Suppose 15*i**4 - 185*i**3 - 1755*i**2 - 2815*i + 1140 = 0. What is i?
-4, -3, 1/3, 19
Suppose 5*a**5 - 3860*a**4 - 3880*a**3 + 11570*a**2 + 19315*a + 7730 = 0. What is a?
-1, 2, 773
Determine r, given that 5*r**3 + 2173*r**2/3 - 36290*r/3 + 1600 = 0.
-160, 2/15, 15
Solve -2*g**3/7 - 762*g**2 + 2*g/7 + 762 = 0 for g.
-2667, -1, 1
Factor q**4 - 27899*q**3 - 27901*q**2 + 27899*q + 27900.
(q - 27900)*(q - 1)*(q + 1)**2
Factor 3*d**4/5 - 39*d**3/5 + 78*d**2/5 + 24*d.
3*d*(d - 10)*(d - 4)*(d + 1)/5
Factor 2*i**3 + 34796*i**2 + 69586*i + 34792.
2*(i + 1)**2*(i + 17396)
Factor 85*t**3 + 14350*t**2 + 11745*t - 2520.
5*(t + 1)*(t + 168)*(17*t - 3)
Let 2*r**4/15 - 6614*r**3/15 + 13222*r**2/15 - 1322*r/3 = 0. Calculate r.
0, 1, 3305
Factor -2*a**3/5 + 6016*a**2/5 - 6014*a/5.
-2*a*(a - 3007)*(a - 1)/5
Find q such that 40131*q**2/5 - 227427*q/5 + 102/5 = 0.
2/4459, 17/3
Suppose 4*l**2 - 661972*l - 661976 = 0. What is l?
-1, 165494
Suppose u**3/3 + 34*u**2/3 - 200*u/3 - 3200