
Factor -r**4/3 + 218*r**3/3 + 439*r**2/3 + 220*r/3.
-r*(r - 220)*(r + 1)**2/3
Suppose -4*n**2 - 28952*n - 52388644 = 0. Calculate n.
-3619
Factor -3*c**4 - 126*c**3 - 1023*c**2.
-3*c**2*(c + 11)*(c + 31)
Solve -5*x**2 + 37635*x = 0.
0, 7527
Find m such that 2*m**3 + 13662*m**2 + 109168*m = 0.
-6823, -8, 0
Factor x**4/2 - 1413*x**3/2 - 165057*x**2/2 - 6208415*x/2 - 38597586.
(x - 1524)*(x + 37)**3/2
Factor -4*n**2 - 1509320*n - 142377928900.
-4*(n + 188665)**2
Find v such that 2*v**5 + 4*v**4 - 326*v**3 - 688*v**2 + 12888*v + 25920 = 0.
-9, -2, 8, 10
Determine x, given that 8628*x**4/5 + 1458124*x**3/5 + 60869188*x**2/5 - 12478748*x + 11560 = 0.
-85, 2/2157, 1
Factor -4*a**3 + 29516*a**2 - 118016*a + 118000.
-4*(a - 7375)*(a - 2)**2
Find z such that -2*z**2 - 14078*z + 14080 = 0.
-7040, 1
Factor 11552*p**3 + 183920*p**2 - 14574*p + 288.
2*(p + 16)*(76*p - 3)**2
Find j, given that -j**4/7 - 1296*j**3 - 9070*j**2/7 + 1296*j + 9071/7 = 0.
-9071, -1, 1
Factor -3*a**2/4 - 2445*a/2 - 14562.
-3*(a + 12)*(a + 1618)/4
Factor -21*n**2/4 + 2775*n/2.
-3*n*(7*n - 1850)/4
Determine c, given that -4*c**4 + 664*c**3 - 12768*c**2 - 2541440*c + 108866048 = 0.
-62, 76
Suppose 4*l**4 - 444*l**3 - 1884*l**2 + 5084*l - 2760 = 0. Calculate l.
-6, 1, 115
What is b in 4*b**5/15 - 26*b**4/15 - 132*b**3/5 - 946*b**2/15 - 116*b/3 = 0?
-5, -2, -1, 0, 29/2
Factor -2*i**2 - 1856*i + 22560.
-2*(i - 12)*(i + 940)
Find r such that -r**4/11 + 146*r**3/11 - 4245*r**2/11 + 30628*r/11 + 7220 = 0.
-2, 19, 110
Let a**3 + 374*a**2 - 7144*a - 34496 = 0. What is a?
-392, -4, 22
Factor -c**2/3 + 7280*c/3 - 19392.
-(c - 7272)*(c - 8)/3
Determine c so that c**5 + 5*c**4 - 38*c**3 - 100*c**2 + 136*c + 320 = 0.
-8, -2, 2, 5
Factor -4*l**3/5 - 3*l**2/5 + 441*l/5 - 22.
-(l - 10)*(l + 11)*(4*l - 1)/5
Solve -z**4/3 + 1627*z**3/3 - 660962*z**2/3 - 672364*z/3 + 1325192 = 0 for z.
-3, 2, 814
Suppose 1152*n**5 + 19104*n**4 - 37534*n**3 - 1031152*n**2 + 2092730*n - 1044300 = 0. Calculate n.
-295/24, 1, 6
Factor u**3 - 159*u**2 + 6300*u.
u*(u - 84)*(u - 75)
Determine n so that -2*n**4/15 - 14*n**3 - 2974*n**2/15 + 126*n + 8976/5 = 0.
-88, -17, -3, 3
What is t in 4*t**5 + 5948*t**4 + 2338156*t**3 + 92464708*t**2 - 398107360*t + 407555344 = 0?
-721, -49, 2
Solve -3*f**4 + 1422*f**3 + 489825*f**2 - 234735600*f - 235224000 = 0 for f.
-405, -1, 440
Let 4*q**5 - 124*q**4 + 1152*q**3 - 2816*q**2 - 4096*q = 0. What is q?
-1, 0, 8, 16
Suppose -208*h**5/9 + 1034*h**4/9 + 5234*h**3/9 - 25870*h**2/9 - 850*h/9 + 500/9 = 0. What is h?
-5, -2/13, 1/8, 5
Let -4*v**3 + 164592*v**2 - 1693322484*v + 3385986632 = 0. What is v?
2, 20573
Factor 726*b**2/5 + 383856*b/5 + 50738784/5.
6*(11*b + 2908)**2/5
Determine k, given that k**5/7 - 17*k**4/7 + 11*k**3 + 41*k**2/7 - 774*k/7 + 144 = 0.
-3, 2, 3, 7, 8
Find v, given that -v**3/3 - 80*v**2/3 + 251*v + 4176 = 0.
-87, -9, 16
Suppose -2*x**5/13 - 556*x**4/13 - 31982*x**3/13 + 935604*x**2/13 - 4033800*x/13 + 4590000/13 = 0. What is x?
-150, 2, 3, 17
Suppose 54*q**3/7 + 130*q**2/7 - 484*q/7 - 80 = 0. What is q?
-4, -1, 70/27
Let -2*f**5 - 60*f**4 - 162*f**3 + 2080*f**2 - 3000*f = 0. What is f?
-25, -10, 0, 2, 3
Let -m**3/4 + 49*m**2/2 - 2881*m/4 + 5547 = 0. Calculate m.
12, 43
Factor -392*t**4 - 2617832*t**3 - 4370751002*t**2 - 624352932*t - 22297842.
-2*(t + 3339)**2*(14*t + 1)**2
Determine q, given that 2*q**4/7 - 32*q**3/7 - 264*q**2/7 = 0.
-6, 0, 22
Solve t**3 - 330230*t**2 - 660463*t - 330232 = 0 for t.
-1, 330232
Suppose 12*x**3 + 24580*x**2 - 114936*x + 65696 = 0. Calculate x.
-2053, 2/3, 4
Solve -4*o**5 - 2192*o**4 - 306820*o**3 - 1788632*o**2 - 3542512*o - 2350112 = 0 for o.
-271, -2
Determine m so that -8*m**3/3 + 3519458*m**2/3 - 129027069704*m + 32256694104 = 0.
1/4, 219966
Factor 2*y**2/15 + 8308*y/15 - 16624/15.
2*(y - 2)*(y + 4156)/15
Factor -49*g**3/3 - 770*g**2/3 - 404*g - 168.
-(g + 14)*(7*g + 6)**2/3
Factor 2*s**3/17 + 2678*s**2/17 - 16140*s/17.
2*s*(s - 6)*(s + 1345)/17
Find s such that 2*s**5/13 - 2570*s**4/13 + 842064*s**3/13 - 808992*s**2 = 0.
0, 13, 636
Factor -3*b**2/5 + 10417866*b/5 - 9044327666163/5.
-3*(b - 1736311)**2/5
Let -5*o**5/4 + 160*o**4 + 1765*o**3/2 - 434815*o**2 - 10459725*o/4 - 3920895 = 0. What is o?
-44, -3, 89
Suppose 2*y**3 + 548*y**2/13 + 1686*y/13 - 10260/13 = 0. Calculate y.
-15, -9, 38/13
Factor 5*p**2 + 1065*p + 10150.
5*(p + 10)*(p + 203)
Determine s, given that 12*s**5 + 128*s**4 - 1004*s**3 - 10480*s**2 + 3600*s = 0.
-10, 0, 1/3, 9
Factor 6495*v**3 - 20774*v**2 + 3865*v + 6.
(v - 3)*(5*v - 1)*(1299*v + 2)
Let -t**4/7 + 155*t**3/7 + 3*t**2/7 - 463*t/7 - 310/7 = 0. What is t?
-1, 2, 155
Find a, given that 2*a**5 + 510*a**4 + 2456*a**3 - 10968*a**2 + 8000*a = 0.
-250, -8, 0, 1, 2
Find p, given that -p**4/3 - 656*p**3/3 - 4279*p**2 - 24858*p - 34344 = 0.
-636, -9, -2
Find a, given that a**5/2 - 361*a**4/2 + 18963*a**3 - 477448*a**2 + 2730928*a + 3227520 = 0.
-1, 10, 24, 164
Factor 5*u**3 + 3570*u**2 - 10755*u.
5*u*(u - 3)*(u + 717)
Suppose 3*b**3/8 - 1299*b**2/4 + 15495*b/8 - 3225/2 = 0. Calculate b.
1, 5, 860
Find o, given that -o**2 - 1010*o - 1009 = 0.
-1009, -1
Factor -3*h**3 + 139*h**2 + 1715*h - 15675.
-(h - 55)*(h + 15)*(3*h - 19)
Suppose 5*r**5 - 17010*r**4 - 136375*r**3 - 85500*r**2 + 852500*r = 0. What is r?
-5, 0, 2, 3410
Factor 2*t**3 + 7656*t**2 - 30680*t - 91968.
2*(t - 6)*(t + 2)*(t + 3832)
Factor -5*v**3 - 690*v**2 - 15255*v + 15950.
-5*(v - 1)*(v + 29)*(v + 110)
Solve -2*n**2 + 344*n - 10920 = 0.
42, 130
Let -5046*l**3/5 - 807186*l**2/5 - 3914784*l/5 - 964224 = 0. What is l?
-155, -72/29
Find z, given that 3*z**2 + 6601*z/3 + 9720 = 0.
-729, -40/9
Solve 2*h**2/13 + 286440*h/13 + 572872/13 = 0.
-143218, -2
Solve -28*h**5/3 + 547*h**4/3 - 1259*h**3/3 + 893*h**2/3 - 51*h = 0.
0, 1/4, 1, 9/7, 17
Suppose -b**2/4 + 18873*b - 356190129 = 0. What is b?
37746
Factor -3*o**2 - 227478*o - 4312186707.
-3*(o + 37913)**2
Find o such that -2*o**4 - 6240*o**3 - 4854704*o**2 + 19493760*o - 19518752 = 0.
-1562, 2
What is z in 2*z**4/9 - 56*z**3 + 12190*z**2/3 - 581900*z/9 = 0?
0, 22, 115
Factor 3*b**2/4 - 141*b/2 - 8925/4.
3*(b - 119)*(b + 25)/4
Determine j, given that -2*j**3/3 + 65484*j**2 - 1608057846*j = 0.
0, 49113
Suppose 2*z**4/7 + 8*z**3/7 - 12532*z**2/7 - 25080*z/7 + 19656450/7 = 0. What is z?
-57, 55
Factor -265*q**3 - 12185*q**2 + 25670*q - 480.
-5*(q - 2)*(q + 48)*(53*q - 1)
Determine z, given that -2*z**4/15 + 176*z**3/15 - 248*z**2/15 - 2752*z/5 = 0.
-6, 0, 8, 86
Determine g, given that 6*g**3 + 7924*g**2 + 1069582*g - 357408 = 0.
-1168, -153, 1/3
Factor 5*y**2 - 7150*y - 64755.
5*(y - 1439)*(y + 9)
What is n in -n**2 + 861122*n - 185382774721 = 0?
430561
Factor -w**2/3 + 12785*w/3 - 8522.
-(w - 12783)*(w - 2)/3
Factor j**2/2 - 9885*j/2 + 9883.
(j - 9883)*(j - 2)/2
Suppose -32805*h**4 - 7614810*h**3 - 442363805*h**2 - 54525800*h - 1682000 = 0. What is h?
-116, -5/81
Let -464*q**5/3 - 30164*q**4/3 + 10276*q**3 + 30428*q**2/3 - 30364*q/3 - 88 = 0. Calculate q.
-66, -1, -1/116, 1
Factor c**3/3 + 1972*c**2/3 + 323407*c - 649446.
(c - 2)*(c + 987)**2/3
Determine b, given that 2*b**3/5 - 6*b**2/5 - 10*b + 30 = 0.
-5, 3, 5
Determine q so that -2*q**3 + 3868*q**2/5 + 24354*q/5 + 4716/5 = 0.
-6, -1/5, 393
What is q in q**5/2 - 157*q**4/6 - 2795*q**3/6 - 10127*q**2/6 - 4184*q/3 + 670 = 0?
-10, -3, -2, 1/3, 67
Factor s**2 - 624*s - 2512.
(s - 628)*(s + 4)
Factor -4*i**3/7 + 122*i**2/7 + 62*i/7.
-2*i*(i - 31)*(2*i + 1)/7
Suppose 2*z**3 + 86*z**2 + 528*z + 864 = 0. Calculate z.
-36, -4, -3
Factor 24*b**2/5 + 9*b/5.
3*b*(8*b + 3)/5
Determine j, given that -5*j**4 + 27706*j**3 + 105339*j**2 + 88724*j - 22180 = 0.
-2, 1/5, 5545
Suppose 14*t**5/3 - 4780*t**4/3 - 27026*t**3/3 - 13880*t**2/3 = 0. Calculate t.
-5, -4/7, 0, 347
Factor -5*x**4 + 96955*x**3.
-5*x**3*(x - 19391)
Find z, given that -2*z**4 + 214*z**3 + 6594*z**2 + 42554*z + 36176 = 0.
-17, -8, -1, 133
Factor 3*l**3 - 6160*l**2 - 10273*l - 4110.
(l - 2055)*(l + 1)*(3*l + 2)
Suppose -4*g**5 - 72*g**4 - 92*g**3 + 4008*g**2 + 22752*g + 34560 = 0. Calculate g.
-12, -6, -5, -3, 8
Factor -k**2/5 - 176*k/5 - 7743/5.
-(k + 87)*(k + 89)/5
Factor h**2 - 33457*h - 133844.
(h - 33461)*(h + 4)
Solve 2*a**2 - 27460*a + 54912 = 0.
2, 13728
Factor 2*l**2/5 + 668*l/5 + 11376/5.
2*(l + 18)*