 0
Factor -3*t**3 + 542625*t**2 - 33631218*t.
-3*t*(t - 180813)*(t - 62)
Factor -2*j**2 - 275178*j + 4403360.
-2*(j - 16)*(j + 137605)
Suppose 5*w**2 + 67111020*w + 225194450272020 = 0. What is w?
-6711102
Determine g, given that -2*g**4 + 4648*g**3 + 13725174*g**2 - 32067951300*g - 128491110000 = 0.
-2622, -4, 2475
Find r such that r**2/4 - 635075*r + 403320255625 = 0.
1270150
Find a such that a**3/7 - 3228703*a**2/7 + 3228702*a/7 = 0.
0, 1, 3228702
Factor -3*a**2 + 401142*a - 2406744.
-3*(a - 133708)*(a - 6)
Solve -x**5/4 - 2379*x**4/4 - 23701*x**3/4 - 26013*x**2/4 + 54511*x/2 + 28428 = 0 for x.
-2369, -8, -3, -1, 2
Let -a**5/2 - 889*a**4/2 - 107934*a**3 - 3924178*a**2 + 17452232*a = 0. What is a?
-422, -49, 0, 4
Determine y so that -72*y**5/5 - 19737336*y**4/5 + 144743446*y**3/5 - 243981676*y**2/5 + 69630778*y/5 - 1096548 = 0.
-274137, 1/6, 2, 5
Solve h**3/6 + 13439*h**2/3 - 44817*h/2 - 161298 = 0.
-26883, -4, 9
Let 5*q**3 + 1368850*q**2 + 73903840*q + 142332320 = 0. What is q?
-273716, -52, -2
Solve -2*h**3 + 21110*h**2 + 232504*h - 549432 = 0 for h.
-13, 2, 10566
Find c such that 2*c**2 + 52560*c - 39989600 = 0.
-27020, 740
Find w, given that 2*w**4/15 - 134*w**3/3 + 9608*w**2/3 + 536*w/3 - 64064/5 = 0.
-2, 2, 104, 231
Factor 5*k**3 - 3806885*k**2 - 327419845*k - 7039725435.
5*(k - 761463)*(k + 43)**2
Find q such that 3*q**4 - 513*q**3 + 22638*q**2 - 64368*q + 42240 = 0.
1, 2, 80, 88
Factor -h**2/4 + 1727*h/4 - 221291/2.
-(h - 1414)*(h - 313)/4
Factor -p**3 + 4180*p**2 - 2330441*p - 4677610.
-(p - 3517)*(p - 665)*(p + 2)
Let u**2/3 - 6278*u/3 + 148944 = 0. What is u?
72, 6206
Let -3*w**5 + 1056*w**4 - 130002*w**3 + 6503604*w**2 - 112034403*w + 613906020 = 0. Calculate w.
13, 93, 140
Suppose -3*g**5/4 - 22779*g**4/8 - 4239*g**3 + 922425*g**2/8 + 227583*g/2 - 444015/2 = 0. Calculate g.
-3795, -13/2, -2, 1, 6
Solve 5*z**2 - 22020*z + 22015 = 0.
1, 4403
Factor 2*b**3 - 188792*b**2 + 84277760*b - 9427869696.
2*(b - 93948)*(b - 224)**2
Let -4*h**5 + 3058*h**4 - 578016*h**3 + 39700868*h**2 - 851985500*h + 416139594 = 0. What is h?
1/2, 39, 101, 523
What is h in -4*h**3 - 284852*h**2 - 5071718620*h - 15212592300 = 0?
-35605, -3
Factor -3*p**2 + 14201145*p - 14201142.
-3*(p - 4733714)*(p - 1)
Find s, given that 180*s**4 + 26285*s**3/2 - 168475*s**2/2 + 139855*s/2 + 1975/2 = 0.
-79, -1/72, 1, 5
Solve -3*f**5/2 - 57963*f**4/2 + 290379*f**3 + 8003811*f**2 + 30041133*f/2 + 14672229/2 = 0 for f.
-19331, -11, -1, 23
What is z in -3546*z**5 - 61446*z**4 - 117100*z**3 + 99884*z**2 - 18234*z + 90 = 0?
-15, -3, 1/197, 1/3
Let -5*z**5 - 31420*z**4 + 553381180*z**3 + 1893815364000*z**2 - 18164895928200000*z = 0. Calculate z.
-9492, 0, 6350
Determine x, given that -5*x**5 + 1785*x**4 - 146850*x**3 + 4460000*x**2 - 44880000*x = 0.
0, 22, 40, 255
Factor 4*p**2/5 + 3244*p/5 - 6065928/5.
4*(p - 891)*(p + 1702)/5
What is n in -n**4/5 - 73124*n**3 - 13526642*n**2/5 - 25956428*n/5 - 2559081 = 0?
-365583, -35, -1
Let 15*g**4 + 30010*g**3 - 130245*g**2 + 160380*g - 40100 = 0. Calculate g.
-2005, 1/3, 2
Find p such that 4*p**3/5 + 4352*p**2/5 - 178012*p/5 - 495880 = 0.
-1127, -11, 50
Suppose 4*o**3 - 75276*o**2 + 2779880*o - 2704608 = 0. What is o?
1, 36, 18782
Factor -676*k**2 - 275874560*k - 28145995878400.
-4*(13*k + 2652640)**2
Factor -s**3 + 3856*s**2 - 38476*s + 61536.
-(s - 3846)*(s - 8)*(s - 2)
Let 2*m**3/7 - 1808206*m**2/7 + 47012342*m/7 - 305578026/7 = 0. Calculate m.
13, 904077
Factor b**4/4 - 43717079*b**3/4 - 131151261*b**2 - 524605076*b - 699473456.
(b - 43717091)*(b + 4)**3/4
What is f in 8*f**3 + 2255*f**2 - 188187*f - 1425060 = 0?
-348, -7, 585/8
Factor 3*j**3 + 306*j**2 - 1273539*j + 1273230.
3*(j - 602)*(j - 1)*(j + 705)
Factor o**2 + 8357*o - 505020.
(o - 60)*(o + 8417)
What is r in 2*r**2/3 - 134192*r = 0?
0, 201288
Factor -a**3 - 14674085*a**2 - 53832199983848*a - 53832185309764.
-(a + 1)*(a + 7337042)**2
Factor 4*y**4 + 1410240*y**3 + 2820468*y**2 + 1410232*y.
4*y*(y + 1)**2*(y + 352558)
Factor 24081765*p**3/2 - 63*p**2.
3*p**2*(8027255*p - 42)/2
Factor 2*o**2/7 - 21048*o/7 + 1338880/7.
2*(o - 10460)*(o - 64)/7
Factor -q**2/2 - 758937*q/2 - 2276793.
-(q + 6)*(q + 758931)/2
Solve g**2/2 + 943024*g + 1886047/2 = 0 for g.
-1886047, -1
Factor -3*v**3/7 - 133956*v**2/7 - 213468372*v + 23942762688/7.
-3*(v - 16)*(v + 22334)**2/7
Let -10*u**5/23 - 45376*u**4/23 + 109482*u**3/23 + 2370568*u**2/23 + 3123160*u/23 - 1634400/23 = 0. Calculate u.
-4540, -5, -2, 2/5, 9
Factor 2*j**2/5 + 69702*j - 10805732/5.
2*(j - 31)*(j + 174286)/5
Let -30*c**5/13 - 78506*c**4/13 - 772112*c**3/13 - 88232*c**2 + 166848*c/13 = 0. What is c?
-2607, -8, -2, 0, 2/15
Factor -5*l**3 + 43950*l**2 + 4086185*l - 4130130.
-5*(l - 8882)*(l - 1)*(l + 93)
Suppose -188*n**4/3 + 179036*n**3 + 9738320*n**2/3 + 13109808*n + 552000 = 0. Calculate n.
-12, -6, -2/47, 2875
Factor 4*q**3 - 3727324*q**2 + 868310876220*q - 868307148900.
4*(q - 465915)**2*(q - 1)
Let -2*u**2/19 - 167216*u/19 - 24870782/19 = 0. What is u?
-83459, -149
Factor -2*f**2 - 1165664*f + 1165666.
-2*(f - 1)*(f + 582833)
Let 2*u**2/5 + 1900614*u/5 - 1900616/5 = 0. What is u?
-950308, 1
Factor -2*n**2/5 + 280563388*n/5 - 9839476835754818/5.
-2*(n - 70140847)**2/5
Let -3*w**4 - 306090*w**3 + 306156*w**2 + 6427818*w - 13774185 = 0. What is w?
-102031, -5, 3
Suppose 2*q**4 - 2650596*q**3 + 37108050*q**2 - 129877832*q = 0. Calculate q.
0, 7, 1325284
What is m in -49*m**4 + 4093756*m**3 - 167043*m**2 - 4093756*m + 167092 = 0?
-1, 2/49, 1, 83546
Let 4*q**2/5 + 6528*q/5 + 71324/5 = 0. Calculate q.
-1621, -11
Factor -12*q**3 - 1979106068*q**2 - 81601266928366084*q + 27200422529356036.
-4*(q + 82462753)**2*(3*q - 1)
Suppose -2*z**2 - 4111252*z - 2112799125938 = 0. Calculate z.
-1027813
Determine n, given that 4*n**5 - 668*n**4 + 1896*n**3 + 11792*n**2 + 2720*n - 15744 = 0.
-2, 1, 6, 164
Let 5*s**3/2 - 10773625*s**2/2 - 21547265*s/2 - 10773635/2 = 0. Calculate s.
-1, 2154727
Let 2*k**5/7 + 1408*k**4/7 - 9095600*k**3/7 + 5701386368*k**2/7 - 11366401632*k/7 = 0. Calculate k.
-2742, 0, 2, 1018
Suppose 4*t**5 + 1568*t**4 + 196352*t**3 + 7831576*t**2 + 27363900*t - 35393400 = 0. What is t?
-159, -70, -5, 1
What is v in v**4 - 33432*v**3 - 19231344*v**2 - 2742304000*v = 0?
-284, 0, 34000
Factor 2*t**2/5 + 9268*t/5 + 257936/5.
2*(t + 28)*(t + 4606)/5
Find i such that 2*i**3 - 7858*i**2 + 936350*i - 28331694 = 0.
61, 3807
Solve 2*o**3 - 39528*o**2 + 194475114*o + 8237830356 = 0 for o.
-42, 9903
What is m in m**3/4 - 129011*m**2 + 66574836437*m/4 + 66575868529/2 = 0?
-2, 258023
Factor 3*c**2 + 7306437*c - 7306440.
3*(c - 1)*(c + 2435480)
Suppose 5*o**2 + 13640*o + 5544035 = 0. What is o?
-2231, -497
Find y such that 2*y**3/11 + 1034246*y**2/11 + 133708615686*y/11 + 133707581442/11 = 0.
-258561, -1
What is b in -5*b**2 - 2220975*b + 57748730 = 0?
-444221, 26
Suppose 14*h**4 - 251226*h**3 - 1579538*h**2 - 2692614*h - 646236 = 0. Calculate h.
-3, -2/7, 17951
Suppose 2*a**4/19 + 4000*a**3/19 + 441770*a**2/19 + 8832900*a/19 + 22630608/19 = 0. What is a?
-1884, -91, -22, -3
Suppose -2*m**4/5 + 3308*m**3/5 + 3291456*m**2/5 + 663689664*m/5 = 0. Calculate m.
-372, 0, 2398
Solve 5*l**4 - 1145*l**3 + 4175*l**2 + 72465*l + 148500 = 0 for l.
-4, -3, 11, 225
Determine j so that -3*j**5 + 474*j**4 + 4440*j**3 + 11478*j**2 + 7515*j = 0.
-5, -3, -1, 0, 167
Suppose 3*t**3 + 91041*t**2 - 9959112*t = 0. What is t?
-30456, 0, 109
Factor -205*t**2 - 3697*t/3 - 14.
-(t + 6)*(615*t + 7)/3
Find p such that -4*p**5 + 640*p**4 + 84076*p**3 + 790760*p**2 + 1934400*p = 0.
-78, -5, 0, 248
Factor -4*t**2 + 80140072*t - 401401946260324.
-4*(t - 10017509)**2
Let 2*q**3 - 742266*q**2 - 742272*q + 1484536 = 0. What is q?
-2, 1, 371134
Determine o so that o**4/5 + 479*o**3/5 - 6036*o**2/5 - 68976*o/5 + 848448/5 = 0.
-491, -12, 12
Let -5*k**3 + 215575*k**2 + 20*k - 862300 = 0. What is k?
-2, 2, 43115
Factor 4*n**2 - 135784*n - 1494108.
4*(n - 33957)*(n + 11)
Find z such that 27*z**5/7 + 1036890*z**4/7 - 2765256*z**3/7 - 131664*z**2 + 3687024*z/7 + 1843488/7 = 0.
-38406, -2/3, 2
Factor j**2/8 + 83405*j/8 - 83407/4.
(j - 2)*(j + 83407)/8
Determine m so that -3*m**2/5 + 41913*m/5 + 1657422 = 0.
-195, 14166
Factor -5*v**2 + 445470*v + 17826800.
-5*(v - 89134)*(v + 40)
Find g, given 