- 4)*(h + 119)
Factor 3*o**2 + 4707*o + 1801302.
3*(o + 662)*(o + 907)
Determine n so that -2*n**2/7 - 2512*n/7 - 16898 = 0.
-1207, -49
Determine b, given that 5*b**4 + 215*b**3 + 1035*b**2 - 2735*b + 1480 = 0.
-37, -8, 1
Determine j so that -10*j**2/11 - 121172*j/11 - 24234/11 = 0.
-12117, -1/5
Suppose -m**4/6 - 13130*m**3 = 0. What is m?
-78780, 0
Let 5*i**5 - 50085*i**4 - 451035*i**3 - 1353375*i**2 - 1353510*i = 0. What is i?
-3, 0, 10026
Find c such that 2*c**3/7 - 13806*c**2/7 - 27618*c/7 - 13810/7 = 0.
-1, 6905
Suppose j**2/7 - 434804*j/7 + 47263629604/7 = 0. What is j?
217402
Suppose 9*v**4 - 780*v**3 - 11571*v**2 - 9186*v + 21528 = 0. What is v?
-12, -2, 1, 299/3
Find k such that 2*k**2 + 3348*k + 20016 = 0.
-1668, -6
Factor -2*t**4/3 - 5416*t**3/3 - 1589280*t**2 - 416642688*t + 33659265024.
-2*(t - 64)*(t + 924)**3/3
Let -2*t**2/11 + 460*t/11 - 458/11 = 0. Calculate t.
1, 229
Factor -2*c**3/5 - 112*c**2/5 - 282*c - 3276/5.
-2*(c + 3)*(c + 14)*(c + 39)/5
Solve -r**5/7 + 8*r**4/7 + 31*r**3/7 + 22*r**2/7 = 0.
-2, -1, 0, 11
Factor 12*i**3 - 52*i**2 - 1800*i + 2464.
4*(i - 14)*(i + 11)*(3*i - 4)
Factor -3*a**3 - 84*a**2 + 303*a + 6264.
-3*(a - 9)*(a + 8)*(a + 29)
Factor -j**3/5 - 254*j**2/5 + 8584*j/5 + 18176/5.
-(j - 32)*(j + 2)*(j + 284)/5
Suppose f**3 + 43*f**2 - 46*f - 88 = 0. What is f?
-44, -1, 2
Factor 3*f**4/7 - 2670*f**3/7 - 5349*f**2/7 - 2676*f/7.
3*f*(f - 892)*(f + 1)**2/7
Factor -4*u**5 + 136*u**4 - 1012*u**3 - 2448*u**2 - 1296*u.
-4*u*(u - 18)**2*(u + 1)**2
Determine w so that w**3 - 8249*w**2 + 16990859*w + 85160645 = 0.
-5, 4127
Determine s so that 5*s**3 - 5145*s**2 + 207475*s - 202335 = 0.
1, 41, 987
Factor 18*s**4 + 644*s**3 + 5688*s**2 - 1296*s.
2*s*(s + 18)**2*(9*s - 2)
Suppose -10*s**3 + 839975*s**2 - 2099885*s + 839950 = 0. Calculate s.
1/2, 2, 83995
Determine q so that 3*q**3 + 66*q**2 - 912*q + 1536 = 0.
-32, 2, 8
Factor q**2/2 - 82*q + 770.
(q - 154)*(q - 10)/2
Factor 2*s**4/3 - 54*s**3 - 1134*s**2 - 5346*s.
2*s*(s - 99)*(s + 9)**2/3
Factor -b**2 - 1973*b - 1972.
-(b + 1)*(b + 1972)
What is g in -3*g**4 - 10677*g**3 + 21363*g**2 - 10683*g = 0?
-3561, 0, 1
Find m, given that 120850*m**2 - 120835*m - 15 = 0.
-3/24170, 1
What is w in -3*w**2 + 6387*w + 141966 = 0?
-22, 2151
Factor -2*q**3 + 42*q**2 - 160*q - 504.
-2*(q - 14)*(q - 9)*(q + 2)
Factor a**5 - 13*a**4 + 63*a**3 - 135*a**2 + 108*a.
a*(a - 4)*(a - 3)**3
Solve 3*b**3/7 + 78168*b**2 - 1094361*b/7 + 547182/7 = 0 for b.
-182394, 1
Solve j**5 - 568*j**4 + 114885*j**3 - 9469602*j**2 + 246416364*j - 237061080 = 0.
1, 45, 174
Solve 2*g**2/9 - 45106*g/9 - 90220/9 = 0 for g.
-2, 22555
Let -d**5/3 + d**4 + 10*d**3 - 34*d**2/3 - 95*d - 75 = 0. Calculate d.
-3, -1, 5
Factor -2*w**2 - 19216*w.
-2*w*(w + 9608)
Find h such that 4*h**3/7 + 130*h**2/7 - 90252*h/7 + 19296 = 0.
-168, 3/2, 134
Factor g**2 + 211838*g + 11218834561.
(g + 105919)**2
Determine x so that -5*x**3 + 170*x**2 + 975*x = 0.
-5, 0, 39
What is i in 3*i**2 + 59190*i + 59187 = 0?
-19729, -1
Factor -2*q**2 + 82480*q - 850368800.
-2*(q - 20620)**2
Suppose 2*n**3 + 1750*n**2 - 14096*n + 28256 = 0. What is n?
-883, 4
Factor -51842*j**3/19 - 3864*j**2/19 - 72*j/19.
-2*j*(161*j + 6)**2/19
Determine j, given that -160*j**2 + 94245*j - 2945 = 0.
1/32, 589
Find y such that -3*y**5/2 + 192*y**4 + 195*y**3 - 192*y**2 - 387*y/2 = 0.
-1, 0, 1, 129
Suppose m**4/3 + 11429*m**3/3 - 11431*m**2 + 34295*m/3 - 11432/3 = 0. Calculate m.
-11432, 1
Factor 2*f**4 - 70*f**3 + 382*f**2 + 430*f - 4200.
2*(f - 28)*(f - 5)**2*(f + 3)
Factor -2*p**3/5 - 13536*p**2/5 - 13534*p/5.
-2*p*(p + 1)*(p + 6767)/5
Suppose 3*q**3/4 - 33*q**2 + 1209*q/4 = 0. Calculate q.
0, 13, 31
Suppose -y**2/6 + 9469*y/6 + 4735/3 = 0. What is y?
-1, 9470
Solve -3*a**2 - 17133*a + 17136 = 0 for a.
-5712, 1
Solve -4*v**4 - 928*v**3 - 43276*v**2 - 267552*v - 369360 = 0.
-171, -54, -5, -2
Let -x**5 + 130*x**4 + 823*x**3 - 952*x**2 = 0. What is x?
-7, 0, 1, 136
Factor -2*l**2/7 + 702892*l/7 - 61757145458/7.
-2*(l - 175723)**2/7
Factor -2*y**2/13 + 231324*y/13 - 6688849122/13.
-2*(y - 57831)**2/13
Let 2*y**4 + 660*y**3 + 4522*y**2 = 0. What is y?
-323, -7, 0
Find a such that -a**2/2 - 279367*a/4 = 0.
-279367/2, 0
Solve -1965660*p**4 + 24385044*p**3 - 9569847*p**2 + 52314*p - 72 = 0.
1/362, 2/5, 12
Solve -33628*y**2/9 - 11212*y/3 - 8/9 = 0 for y.
-1, -2/8407
Factor p**4 + 314*p**3 + 4200*p**2.
p**2*(p + 14)*(p + 300)
Determine z so that -2*z**4/7 + 52*z**3/7 - 298*z**2/7 - 208*z/7 + 1224/7 = 0.
-2, 2, 9, 17
Suppose -v**2/2 - 155403*v/2 + 77702 = 0. What is v?
-155404, 1
Factor -n**3/8 + 93*n**2/4 - 2451*n/2 + 12943.
-(n - 86)**2*(n - 14)/8
Factor -2*n**4/11 - 21580*n**3/11 - 58082426*n**2/11 + 63574680*n - 190936152.
-2*(n - 6)**2*(n + 5401)**2/11
Factor 3*b**5 + 147*b**4 + 1539*b**3 + 4785*b**2 - 3450*b - 27000.
3*(b - 2)*(b + 5)**3*(b + 36)
Find m, given that -2*m**5/15 + 34*m**4/15 + 206*m**3/15 - 706*m**2/15 - 628*m/5 - 336/5 = 0.
-6, -1, 4, 21
Factor -g**3/2 - 28699*g**2/2 - 114793*g/8 - 14349/4.
-(g + 28698)*(2*g + 1)**2/8
Solve u**2/4 - 9*u/2 - 972 = 0.
-54, 72
Factor -w**3/2 + 59*w**2/2 + 226*w + 330.
-(w - 66)*(w + 2)*(w + 5)/2
Solve -h**4/6 - 11155*h**3/6 - 16719*h**2 = 0 for h.
-11146, -9, 0
Factor -172*w**2 + 1316*w + 1488.
-4*(w + 1)*(43*w - 372)
Suppose 3*f**2 - 92064*f + 706315008 = 0. What is f?
15344
Let 4*a**4 + 181232*a**3 + 2052814860*a**2 - 181232*a - 2052814864 = 0. What is a?
-22654, -1, 1
Find l such that -l**3/2 + 9881*l**2/2 - 4940*l = 0.
0, 1, 9880
Let -22*k**2/9 - 27892*k/9 + 5072/9 = 0. Calculate k.
-1268, 2/11
What is n in -4*n**3 + 9208*n**2 - 36748*n - 45960 = 0?
-1, 5, 2298
Solve -p**4 + 442*p**3 + 1803*p**2 - 8488*p + 6244 = 0.
-7, 1, 2, 446
Solve -3*s**2/8 - 171*s/2 - 9159/2 = 0.
-142, -86
Factor t**4 - 1672*t**3 - 1673*t**2.
t**2*(t - 1673)*(t + 1)
Factor -c**3/3 + 565*c**2 + 5092*c/3 + 1132.
-(c - 1698)*(c + 1)*(c + 2)/3
Factor -k**2/7 + 831*k/7 - 1658/7.
-(k - 829)*(k - 2)/7
Factor j**2/3 - 17836*j/3 + 53481.
(j - 17827)*(j - 9)/3
Determine q, given that -4*q**5 - 696*q**4 - 2728*q**3 - 1344*q**2 + 2732*q + 2040 = 0.
-170, -3, -1, 1
Factor 4*t**2/5 + 3388*t/5 + 171288/5.
4*(t + 54)*(t + 793)/5
Determine s so that 20*s**4 + 27908*s**3 - 100700*s**2 + 39196*s + 33576 = 0.
-1399, -2/5, 1, 3
Find a such that 2*a**2/9 - 1774*a/9 + 127664/9 = 0.
79, 808
Factor -3*f**2/7 - 1860*f/7 - 66348/7.
-3*(f + 38)*(f + 582)/7
Determine f, given that -21*f**3/5 + 23127*f**2/5 + 16536*f/5 - 6612/5 = 0.
-1, 2/7, 1102
Factor -g**3/3 + 13637*g**2 - 27273*g + 40909/3.
-(g - 40909)*(g - 1)**2/3
Let -3*a**3 + 465*a**2 + 31086*a + 88992 = 0. What is a?
-48, -3, 206
Factor 3*g**2/5 + 9*g/5 - 42.
3*(g - 7)*(g + 10)/5
Factor g**5/4 + 3*g**4/4 - 3*g**3/4 - 11*g**2/4 - 3*g/2.
g*(g - 2)*(g + 1)**2*(g + 3)/4
Find u, given that -3*u**3/2 - 4239*u**2/2 - 1486773*u/2 + 7540215/2 = 0.
-709, 5
Factor -3*l**4 + 87276*l**3 - 634583760*l**2 - 2539731648*l.
-3*l*(l - 14548)**2*(l + 4)
Solve -2*s**4/3 - 16*s**3/3 - 22*s**2/3 + 16*s/3 + 8 = 0 for s.
-6, -2, -1, 1
Suppose -22*j**5 + 388*j**4 - 1742*j**3 - 424*j**2 + 6984*j - 5184 = 0. Calculate j.
-2, 1, 18/11, 8, 9
Factor -o**2/4 + 2881*o - 5761.
-(o - 11522)*(o - 2)/4
Determine m, given that -m**2 + 57*m - 56 = 0.
1, 56
What is r in 3*r**3/7 - 8928*r**2/7 + 6543135*r/7 + 148302066/7 = 0?
-22, 1499
Find j, given that -10*j**5 + 4985*j**4/2 + 50235*j**3/2 + 35005*j**2 - 10360*j = 0.
-8, -2, 0, 1/4, 259
What is w in 872053*w**3/2 + 24938*w**2 + 785*w/2 + 1 = 0?
-1/37, -2/637
Determine b so that -4*b**3/5 + 836*b**2/5 - 3296*b/5 + 656 = 0.
2, 205
Let t**4/6 + 77*t**3/6 + 1271*t**2/6 - 2777*t/6 + 238 = 0. Calculate t.
-51, -28, 1
Let -60*s**2 + 58*s + 3346 = 0. What is s?
-7, 239/30
Find n such that 14*n**3 + 7435*n**2 + 15343*n + 1058 = 0.
-529, -2, -1/14
Find f such that 2*f**3/17 - 358*f**2/17 + 708*f/17 = 0.
0, 2, 177
Determine t, given that 4*t**4 + 1612*t**3 + 4808*t**2 + 3200*t = 0.
-400, -2, -1, 0
Factor 5*n**4 - 260*n**3 + 400*n**2 + 4880*n + 6000.
5*(n - 50)*(n - 6)*(n + 2)**2
Suppose 2*f**4/3 - 126*f**3 - 4322*f**2/3 - 5170*f - 6000 = 0. What is f?
-5, -3, 200
Factor 5*v**4 + 265*v**3 + 4725*v**2 + 29735*v + 25270.
5*(v + 1)*(v + 14)*(v + 19)**2
Solve q**3/2 - 151*q**2/2 - 397*q + 1092 = 0.
-7, 2, 156
Suppose 3*h**2