, -2, 0
Factor -2*w**2/5 - 436*w/5 - 832.
-2*(w + 10)*(w + 208)/5
Suppose -57660*p**4 + 810340*p**3 - 130325*p**2/3 + 1750*p/3 = 0. Calculate p.
0, 5/186, 14
Solve -k**4/5 + 6508*k**3/5 - 10582006*k**2/5 - 4236708*k - 2119005 = 0.
-1, 3255
Find d such that -20364*d**4 + 183272*d**3 - 305424*d**2 + 142488*d + 28 = 0.
-1/5091, 1, 7
Factor -d**3/3 - 71*d**2/3 - 406*d.
-d*(d + 29)*(d + 42)/3
Let 22*o**3/9 - 2668*o**2/3 - 1456*o/9 = 0. What is o?
-2/11, 0, 364
Factor -12246*d**2 + 9303*d + 90.
-3*(13*d - 10)*(314*d + 3)
What is s in -4*s**5/3 - 52*s**4 - 1252*s**3/3 - 908*s**2 - 1624*s/3 = 0?
-29, -7, -2, -1, 0
Factor -2*o**4/11 + 4140*o**3/11 - 2142450*o**2/11.
-2*o**2*(o - 1035)**2/11
Find r such that -3*r**2/2 - 348165*r - 40406289075/2 = 0.
-116055
Let -2*b**5 + 14*b**4 + 42*b**3 - 54*b**2 = 0. Calculate b.
-3, 0, 1, 9
Solve l**4/5 + 931*l**3/5 + 1854*l**2/5 - 3724*l/5 - 7432/5 = 0 for l.
-929, -2, 2
Suppose -3*l**5 + 34*l**4 - 40*l**3 - 502*l**2 + 715*l + 2100 = 0. What is l?
-3, -5/3, 4, 5, 7
What is l in -l**3/7 + 137*l**2/7 + 3730*l/7 - 8000/7 = 0?
-25, 2, 160
Factor -4*m**3 - 103352*m**2 + 620220*m - 930384.
-4*(m - 3)**2*(m + 25844)
Factor -k**4/3 + 514*k**3/3 + 4*k**2/3 - 2056*k/3.
-k*(k - 514)*(k - 2)*(k + 2)/3
Suppose 9*z**5/2 + 123*z**4/4 - 42*z**3 + 3*z**2/4 + 6*z = 0. Calculate z.
-8, -1/3, 0, 1/2, 1
Determine d, given that -d**2/3 - 48488*d - 1763314608 = 0.
-72732
Factor 4*d**2 + 248*d - 5372.
4*(d - 17)*(d + 79)
Factor j**4/6 + 19199*j**3/6 - 3200*j**2.
j**2*(j - 1)*(j + 19200)/6
Factor -4*d**3/3 + 81944*d**2/3 - 419921920*d/3 + 838860800.
-4*(d - 10240)**2*(d - 6)/3
Factor t**4/2 + 18*t**3 + 315*t**2/2.
t**2*(t + 15)*(t + 21)/2
Factor -100*f**3 - 1789260*f**2 + 715716*f - 71572.
-4*(f + 17893)*(5*f - 1)**2
Factor -2*j**5 - 224*j**4 + 226*j**3.
-2*j**3*(j - 1)*(j + 113)
Factor -j**3/3 - 65*j**2/3 - 1000*j/3 - 1500.
-(j + 10)**2*(j + 45)/3
Solve -22*p**5/5 + 1676*p**4/5 - 30268*p**3/5 - 66624*p**2/5 + 22698*p - 18252/5 = 0 for p.
-3, 2/11, 1, 39
Find o such that o**3 + 551*o**2 - 31409*o - 31959 = 0.
-603, -1, 53
Factor 4*l**4 - 2052*l**3 + 12204*l**2 - 18252*l.
4*l*(l - 507)*(l - 3)**2
Factor -525*g**2 - 1230*g - 648.
-3*(5*g + 4)*(35*g + 54)
Factor 2*k**3 - 11200*k**2 + 22394*k - 11196.
2*(k - 5598)*(k - 1)**2
Suppose -21*k**2 - 3471*k + 6012 = 0. Calculate k.
-167, 12/7
Solve 2*b**2 + 662*b + 5796 = 0.
-322, -9
Factor r**2/3 + 989*r/3 + 2616.
(r + 8)*(r + 981)/3
Factor 10*k**3 + 569195*k**2 + 8099431400*k - 4049858000.
5*(k + 28460)**2*(2*k - 1)
Suppose -9*g**3 - 13074*g**2 - 4765425*g - 12615000 = 0. What is g?
-725, -8/3
Solve 3*i**2 + 110214*i + 1012260483 = 0.
-18369
Solve 2*t**5/3 + 495*t**4 + 736*t**3/3 - 4451*t**2/3 + 248*t + 1484/3 = 0 for t.
-742, -2, -1/2, 1
Determine p, given that 3*p**5 + 117*p**4 + 663*p**3 - 357*p**2 - 2250*p - 1344 = 0.
-32, -7, -1, 2
Suppose -3*m**4 - 129*m**3 - 1746*m**2 - 8220*m - 6600 = 0. What is m?
-22, -10, -1
Determine d so that -4*d**5 - 472*d**4 - 11356*d**3 + 152120*d**2 - 369664*d + 229376 = 0.
-64, 1, 2, 7
Suppose 2*n**4/11 + 181930*n**3/11 - 6*n**2/11 - 545786*n/11 + 363860/11 = 0. What is n?
-90965, -2, 1
What is y in -y**4 + 4*y**3 + 2459*y**2 + 7314*y = 0?
-46, -3, 0, 53
Factor -4*v**4 + 32*v**3 + 1680*v**2 - 3456*v.
-4*v*(v - 24)*(v - 2)*(v + 18)
Suppose 5*l**4/2 - 11114*l**3 + 323563*l**2/2 - 221524*l - 115206 = 0. What is l?
-2/5, 2, 13, 4431
What is n in -n**2 + 17036*n + 17037 = 0?
-1, 17037
Let -c**2 - 129*c + 22246 = 0. Calculate c.
-227, 98
Factor 3*y**2/7 - 42204*y + 1039020276.
3*(y - 49238)**2/7
Factor 72*m**2 - 561*m + 399.
3*(m - 7)*(24*m - 19)
Factor -2*w**3 - 3184*w**2 - 203610*w - 3323628.
-2*(w + 33)**2*(w + 1526)
Determine k so that 3342348800*k**2/3 - 163520*k/3 + 2/3 = 0.
1/40880
Determine h so that 44890*h**3/3 + 27829790*h**2/3 - 830785*h/2 + 4650 = 0.
-620, 3/134
Solve 6*x**5/5 - 9002*x**4 + 112575004*x**3/5 - 18787506000*x**2 + 31265000000*x - 12500000000 = 0.
2/3, 1, 2500
What is t in -8*t**4 - 1936*t**3 + 37302*t**2 - 35846*t + 8840 = 0?
-260, 1/2, 17
Factor 3*p**3/2 - 249*p**2 + 1467*p/2.
3*p*(p - 163)*(p - 3)/2
Determine u, given that -21*u**5/4 - 171*u**4/4 + 429*u**3/2 + 1155*u**2/2 + 1467*u/4 + 165/4 = 0.
-11, -1, -1/7, 5
Factor -o**3/2 + 71*o**2/2 - 335*o + 300.
-(o - 60)*(o - 10)*(o - 1)/2
Solve -2*r**3 + 210*r**2 - 1756*r + 2688 = 0 for r.
2, 7, 96
What is s in 3*s**2/2 + 97920*s + 1598054400 = 0?
-32640
Suppose -1291*n**5/2 - 14213*n**4/4 - 11685*n**3/4 + 4505*n**2 + 2603*n + 12 = 0. What is n?
-4, -2, -1/2, -6/1291, 1
Factor 3*f**3 + 180*f**2.
3*f**2*(f + 60)
Let -3*b**4 - 5211*b**3 - 5208*b**2 = 0. Calculate b.
-1736, -1, 0
Factor i**2 - 137*i - 138.
(i - 138)*(i + 1)
Determine s, given that 9*s**5/4 - 13998*s**4 + 9321*s**3/2 + 32664*s**2 - 93315*s/4 = 0.
-5/3, 0, 1, 6221
Factor 5*y**3 - 45*y**2 - 9420*y - 118720.
5*(y - 53)*(y + 16)*(y + 28)
Factor p**2/8 + 66447*p/8 - 8306.
(p - 1)*(p + 66448)/8
Determine h so that -2*h**2/17 + 172*h/17 + 462 = 0.
-33, 119
Find j, given that -5*j**2 - 25435*j + 357070 = 0.
-5101, 14
Let 2*q**4/5 + 32*q**3/5 + 82*q**2/5 - 428*q/5 - 96 = 0. Calculate q.
-10, -8, -1, 3
Factor -3*f**2/4 - 8733*f/4 + 8739/2.
-3*(f - 2)*(f + 2913)/4
Factor -x**2/2 - 13228*x + 26458.
-(x - 2)*(x + 26458)/2
Factor -x**3/4 - 277*x**2/4 + 570*x.
-x*(x - 8)*(x + 285)/4
Solve -5*i**2 - 635*i + 21700 = 0 for i.
-155, 28
Determine j, given that -3*j**5/7 - 29394*j**4/7 - 71912376*j**3/7 + 432179952*j**2/7 - 864830448*j/7 + 576710496/7 = 0.
-4902, 2
Factor -l**2 + 2251*l - 8988.
-(l - 2247)*(l - 4)
Factor -b**2/6 - 729398*b/3 + 1458797/6.
-(b - 1)*(b + 1458797)/6
Find a, given that -7*a**4 + 1538*a**3 + 8273*a**2 + 11688*a + 2700 = 0.
-3, -2, -2/7, 225
Let -t**4/4 - 71*t**3/4 - 112*t**2 = 0. Calculate t.
-64, -7, 0
Determine q so that -4*q**2 + 9256*q - 46180 = 0.
5, 2309
Find p, given that 21*p**4/2 - 1032*p**3 + 40497*p**2/2 - 37443*p + 18216 = 0.
1, 24, 506/7
Determine a, given that 15*a**5/8 + 411*a**4/8 - 2133*a**3/8 + 2397*a**2/8 - 57*a/4 - 72 = 0.
-32, -2/5, 1, 3
Suppose 6*q**4/19 - 1078*q**3/19 + 11006*q**2/19 - 32210*q/19 + 16900/19 = 0. What is q?
2/3, 5, 169
Factor -2*k**2 - 95872*k - 1148930048.
-2*(k + 23968)**2
Let r**2/6 + 6623*r/3 = 0. Calculate r.
-13246, 0
Find a such that 2*a**2/3 + 11612*a/3 - 46480/3 = 0.
-5810, 4
Suppose 352*p**4 + 1420*p**3 - 3824*p**2 + 1980*p + 72 = 0. Calculate p.
-6, -3/88, 1
What is j in -3*j**3 + 114*j**2 - 975*j = 0?
0, 13, 25
Factor -h**3 + 6307*h**2 - 25207*h - 31515.
-(h - 6303)*(h - 5)*(h + 1)
Solve -3*l**4/5 - 336*l**3/5 + 21666*l**2/5 - 63480*l + 766521/5 = 0 for l.
-161, 3, 23
What is f in -f**4 + 1871*f**3/3 - 300509*f**2/3 + 2706205*f/3 + 4146956/3 = 0?
-4/3, 11, 307
Solve 2*a**4/3 - 22*a**3 + 184*a**2/3 - 40*a = 0 for a.
0, 1, 2, 30
Suppose -20*c**5 - 1688*c**4 + 22696*c**3 - 44096*c**2 - 162932*c - 94472 = 0. What is c?
-482/5, -1, 7
Factor -4*d**3 - 1424*d**2 + 180544*d - 4975360.
-4*(d - 52)**2*(d + 460)
Factor 3*g**3 - 679740*g**2 + 38504552031*g - 77006385126.
3*(g - 113289)**2*(g - 2)
Solve 21*n**3 - 177633*n**2 - 50754*n = 0.
-2/7, 0, 8459
Factor i**3 + 20175*i**2 + 101767743*i + 101747569.
(i + 1)*(i + 10087)**2
Suppose -4*n**2 - 843040*n - 44419777600 = 0. What is n?
-105380
Suppose 3*r**2/8 + 777*r/2 - 9351/8 = 0. Calculate r.
-1039, 3
Suppose f**5/2 + 11*f**4/2 - 33*f**3/2 - 623*f**2/2 - 392*f + 2058 = 0. What is f?
-7, -6, 2, 7
Solve -19*r**2/3 + 619*r/3 + 638/3 = 0 for r.
-1, 638/19
Factor 3*l**3/4 - 35559*l**2/4 - 213435*l/4 - 320193/4.
3*(l - 11859)*(l + 3)**2/4
Determine p so that -3*p**3 - 18*p**2 + 12*p + 72 = 0.
-6, -2, 2
Factor -8*v**3 + 106*v**2 - 362*v + 84.
-2*(v - 7)*(v - 6)*(4*v - 1)
Suppose 2*b**5 + 8262*b**4 + 246612*b**3 + 2265260*b**2 + 6185322*b + 4158414 = 0. What is b?
-4101, -13, -3, -1
Factor -4*l**2/9 + 85048*l/9 - 452072644/9.
-4*(l - 10631)**2/9
Determine h so that 1430*h**3/3 - 11452*h**2/3 + 10106*h/3 - 28 = 0.
6/715, 1, 7
What is w in w**4/4 - 5*w**3/2 - 807*w**2/4 - 584*w - 385 = 0?
-22, -2, -1, 35
Factor 2*d**2/3 + 27487*d - 41231/3.
(d + 41231)*(2*d - 1)/3
Factor 20*v**2 + 506505*v + 126625.
5*(v + 25325)*(4*v + 1)
Let 3*m**5/2 - 855*m**4 + 60567*m**3/2 - 377406*m**2 + 1729512*m - 1381536 = 0. Calculate m.
1, 12, 533
Factor -q**3/2 + 2