 6885*s + 13950 = 0.
-155, -3, -2, 1, 3
Factor -3*v**2/2 + 801*v/2 + 14352.
-3*(v - 299)*(v + 32)/2
Suppose -5*n**5 - 9450*n**4 + 559520*n**3 - 10491200*n**2 + 54624000*n + 155840000 = 0. What is n?
-1948, -2, 20
Find t, given that 5*t**4 - 15*t**3 - 845*t**2 + 2535*t = 0.
-13, 0, 3, 13
Factor 5*x**4 - 125*x**3 + 1085*x**2 - 3735*x + 4050.
5*(x - 9)**2*(x - 5)*(x - 2)
Factor 3*y**5 - 1830*y**4 + 235911*y**3 + 13165020*y**2 + 155260908*y.
3*y*(y - 327)**2*(y + 22)**2
Determine b so that -2*b**2/5 - 34084*b/5 - 145214882/5 = 0.
-8521
Factor -2*f**2 - 13368*f - 1510870.
-2*(f + 115)*(f + 6569)
Let -4*f**5/9 - 250*f**4 - 27290*f**3/9 + 115280*f**2/9 - 40312*f/3 + 35200/9 = 0. Calculate f.
-550, -16, 1/2, 1, 2
Factor g**2 - 192714*g + 9284671449.
(g - 96357)**2
Solve 2*x**3 - 4108*x**2 + 2161848*x - 53466192 = 0.
26, 1014
Factor -4*z**5 - 160*z**4 - 304*z**3 + 8*z**2 + 308*z + 152.
-4*(z - 1)*(z + 1)**3*(z + 38)
Factor 363*v**2 + 319*v/2 - 21.
(11*v + 6)*(66*v - 7)/2
Solve 2*x**4 + 852*x**3 + 97744*x**2 + 1426368*x - 7324416 = 0 for x.
-204, -22, 4
Solve v**5/4 + 35*v**4/4 + 285*v**3/4 - 35*v**2/4 - 143*v/2 = 0 for v.
-22, -13, -1, 0, 1
What is b in -1562912*b**2 + 328848*b - 17298 = 0?
93/884
Factor 2*v**3/7 - 310696*v**2/7.
2*v**2*(v - 155348)/7
Determine z, given that z**4 - 2840*z**3 + 2684736*z**2 - 841186944*z - 3407885568 = 0.
-4, 948
Solve 2*k**2/5 - 18286*k/5 + 18284/5 = 0 for k.
1, 9142
Find g, given that -2*g**4/3 + 4930*g**3/3 - 1351366*g**2 + 1114863814*g/3 - 2213550644/3 = 0.
2, 821
Let -3*i**3/4 + 99*i**2/4 + 615*i - 1323 = 0. Calculate i.
-18, 2, 49
What is b in -24*b**4 + 1593*b**3 - 2154*b**2 + 585*b = 0?
0, 3/8, 1, 65
Factor -4*s**3 + 30236*s**2 + 3115284*s + 79705044.
-4*(s - 7661)*(s + 51)**2
Factor 2*m**3/9 - 1690*m**2/9 - 10202*m/9 - 8510/9.
2*(m - 851)*(m + 1)*(m + 5)/9
Let -37*u**3/3 + 4549*u**2/3 + 143584*u/3 + 7748/3 = 0. Calculate u.
-26, -2/37, 149
Factor d**4/6 - 955*d**3/6 + 116584*d**2/3 - 1225312*d/3.
d*(d - 472)**2*(d - 11)/6
Find v, given that 2*v**2 - 1372*v - 1374 = 0.
-1, 687
Factor -3*x**2 + 10551*x - 10548.
-3*(x - 3516)*(x - 1)
Factor 4*u**3 - 80116*u**2 + 399190796*u + 19753178116.
4*(u - 10039)**2*(u + 49)
Find c, given that c**4 + 46*c**3 + 373*c**2 - 3588*c + 6084 = 0.
-26, 3
Determine a so that -2*a**2 + 5766*a - 68904 = 0.
12, 2871
Let -y**5 - 20*y**4 + 337*y**3 + 2120*y**2 - 2436*y = 0. What is y?
-29, -6, 0, 1, 14
Factor 2*p**2/5 - 488436*p/5 + 29821215762/5.
2*(p - 122109)**2/5
Find r such that -r**2/5 + 28*r - 375 = 0.
15, 125
Factor -3*j**2/2 - 93216*j - 1448203776.
-3*(j + 31072)**2/2
Solve -3*u**3 - 24981*u**2 - 2180904*u - 47852112 = 0 for u.
-8239, -44
Solve 64*p**3/17 - 5122*p**2/17 + 14944*p/17 - 462/17 = 0 for p.
1/32, 3, 77
Solve 3*p**5 - 36039*p**4 + 108647385*p**3 - 2479861725*p**2 = 0 for p.
0, 23, 5995
Factor d**3/3 - 566*d**2/3 - 32807*d/3.
d*(d - 619)*(d + 53)/3
Factor -5*q**2 + 90*q + 3515.
-5*(q - 37)*(q + 19)
Determine o so that -3*o**2 + 20325*o - 81252 = 0.
4, 6771
Solve -6*j**2/5 - 7010496*j/5 - 2047793923584/5 = 0.
-584208
Solve -3*j**4 + 348*j**3 - 11655*j**2 + 51450*j + 2058000 = 0 for j.
-10, 35, 56
What is g in -g**2 - 36*g - 288 = 0?
-24, -12
Find m, given that -2*m**4/5 + 62*m**3/5 + 294*m**2/5 - 94*m - 140 = 0.
-5, -1, 2, 35
What is u in 42*u**5 + 117549*u**4 + 561711*u**3 + 326832*u**2 - 184428*u - 67056 = 0?
-2794, -4, -1, -2/7, 1/2
Factor -3*a**3/5 + 198321*a**2/5 - 198318*a/5.
-3*a*(a - 66106)*(a - 1)/5
Solve 12*i**5 - 32*i**4 - 164*i**3 + 504*i**2 - 448*i + 128 = 0.
-4, 2/3, 1, 4
Suppose 2*y**5/3 - 728*y**4 + 2180*y**3/3 + 728*y**2 - 2182*y/3 = 0. What is y?
-1, 0, 1, 1091
Suppose -54*n**5/5 - 78296*n**4/5 - 28299542*n**3/5 + 58942492*n**2/5 - 32672904*n/5 + 2108304/5 = 0. Calculate n.
-726, 2/27, 1
Factor -171*d**2/2 + 92679*d/4 + 813/4.
-3*(d - 271)*(114*d + 1)/4
Solve -x**2 + 430350*x - 46300280625 = 0.
215175
Suppose -j**5/3 + 2*j**4/3 - j**3/3 = 0. What is j?
0, 1
Factor -3*m**2/5 + 57636*m - 864513/5.
-3*(m - 96057)*(m - 3)/5
Factor -3*q**2 - 24045*q - 24042.
-3*(q + 1)*(q + 8014)
Factor k**3/2 - 11309*k**2/2 + 15966876*k + 112045374.
(k - 5658)**2*(k + 7)/2
Solve -2*z**5/9 - 34*z**4/9 + 56*z**3/9 + 1576*z**2/9 + 896*z/3 = 0 for z.
-16, -6, -2, 0, 7
Factor 3*m**2 + 1332*m + 21777.
3*(m + 17)*(m + 427)
Solve -5*a**2 + 24485*a = 0.
0, 4897
Suppose -45*c**4 + 16275*c**3 + 54625*c**2 + 45625*c = 0. What is c?
-5/3, 0, 365
Find w such that -3*w**3/7 - 558*w**2/7 + 3783*w + 30240 = 0.
-224, -7, 45
Suppose 9*x**5/4 + 341*x**4/4 + 899*x**3/2 - 6369*x**2 + 702*x = 0. What is x?
-26, -18, 0, 1/9, 6
What is r in -25*r**5 + 1575*r**4 - 25571*r**3 + 23773*r**2 + 4092*r - 3844 = 0?
-2/5, 2/5, 1, 31
Factor 3*i**2 - 8988*i - 17988.
3*(i - 2998)*(i + 2)
Factor -3*u**3/4 - 7131*u**2/4.
-3*u**2*(u + 2377)/4
Determine z, given that -28*z**5 - 20152*z**4 - 3352124*z**3 + 98254432*z**2 - 767795136*z + 1282212864 = 0.
-373, 16/7, 12
Find t such that -t**2 - 4192*t + 12585 = 0.
-4195, 3
Factor 3*t**2 + 3876*t - 3879.
3*(t - 1)*(t + 1293)
Solve x**3/2 + 4185*x**2 + 16737*x/2 + 4184 = 0 for x.
-8368, -1
Let 16*c**2 - 3748*c + 4660 = 0. What is c?
5/4, 233
Find q such that 3*q**5 + 114*q**4 - 2067*q**3 + 6126*q**2 + 2064*q - 6240 = 0.
-52, -1, 1, 4, 10
Let 356*j**2/3 - 77606*j/3 - 436/3 = 0. Calculate j.
-1/178, 218
Factor 4*j**3 + 179588*j**2 + 1795580*j + 4488700.
4*(j + 5)**2*(j + 44887)
Factor -d**2 - 595*d - 10944.
-(d + 19)*(d + 576)
Factor 5*z**3 - 31185*z**2 - 93590*z - 62400.
5*(z - 6240)*(z + 1)*(z + 2)
Find f, given that -578*f**2 - 407184*f - 71712288 = 0.
-5988/17
Solve 3*v**4 - 153*v**3 + 402*v**2 + 1440*v = 0 for v.
-2, 0, 5, 48
Find i such that -2*i**3 + 10078*i**2 - 10076*i = 0.
0, 1, 5038
Let 2*c**3/7 + 1186*c**2/7 + 16302*c/7 + 52110/7 = 0. What is c?
-579, -9, -5
Suppose -g**5/4 - 25813*g**4/2 + 77445*g**3 - 309787*g**2/2 + 516317*g/4 - 38724 = 0. Calculate g.
-51632, 1, 3
Find u such that -6*u**5/7 - 254*u**4 - 54034*u**3/7 - 16038*u**2/7 + 7720*u + 17816/7 = 0.
-262, -34, -1, -1/3, 1
Factor -3*c**3/4 + 250521*c**2/2 - 1002075*c/4 + 125259.
-3*(c - 167012)*(c - 1)**2/4
Let -d**2 + 8836*d - 26499 = 0. What is d?
3, 8833
Suppose -t**4 + 406*t**3 - 3977*t**2 + 6740*t - 3168 = 0. What is t?
1, 8, 396
Solve -405*w**3 - 787995*w**2 + 1051280*w - 194700 = 0 for w.
-1947, 2/9, 10/9
Let 3705*r**3 + 22231*r**2/3 + 11117*r/3 + 1/3 = 0. Calculate r.
-1, -1/11115
Factor -3*h**2/2 + 55683*h/2 - 306075.
-3*(h - 18550)*(h - 11)/2
Suppose -2*q**5/5 + 2264*q**4/5 - 636162*q**3/5 - 2578708*q**2/5 - 131776*q + 3871488/5 = 0. What is q?
-3, -2, 1, 568
Factor -3555*c**2 - 16*c + 172.
-(9*c + 2)*(395*c - 86)
Let 4*d**5/9 + 64*d**4/9 + 292*d**3/9 + 40*d**2 = 0. Calculate d.
-9, -5, -2, 0
Factor p**2 + 225*p + 3536.
(p + 17)*(p + 208)
Determine a, given that -64*a**4 - 34336*a**3 - 287492*a**2 - 137312*a - 16896 = 0.
-528, -8, -1/4
Factor 3*g**2/2 + 1935*g/2 + 966.
3*(g + 1)*(g + 644)/2
Factor -2*l**2/9 - 175642*l/9.
-2*l*(l + 87821)/9
Solve -45*j**5 - 51*j**4 + 1119*j**3 + 1275*j**2 + 150*j = 0.
-5, -1, -2/15, 0, 5
Factor -147*y**3 - 180726*y**2 - 55547427*y.
-3*y*(7*y + 4303)**2
Factor -a**2 - 42843*a - 42842.
-(a + 1)*(a + 42842)
Find u, given that u**4/8 + 45*u**3/2 + 527*u**2/8 - 90*u - 531/2 = 0.
-177, -3, -2, 2
Solve 7*x**3 + 4947*x**2/2 + 1235*x = 0 for x.
-2470/7, -1/2, 0
Factor -4*g**3/3 - 2252*g**2 - 6744*g.
-4*g*(g + 3)*(g + 1686)/3
Factor 9*x**2/5 + 6198*x/5 - 2067/5.
3*(x + 689)*(3*x - 1)/5
Find t such that 187*t**5 + 20335*t**4/4 + 57615*t**3/4 + 5085*t**2/2 + 108*t = 0.
-24, -3, -2/17, -3/44, 0
Factor -5*p**4/4 + 9145*p**3/4 - 4176975*p**2/4 - 4186125*p/4.
-5*p*(p - 915)**2*(p + 1)/4
Find q, given that -3*q**5 + 8085*q**4 - 5394480*q**3 - 71109480*q**2 - 263705040*q - 197998128 = 0.
-6, -1, 1354
Factor -f**3/9 + 14*f**2/9 + 47*f/3 + 14.
-(f - 21)*(f + 1)*(f + 6)/9
Let 2*a**2/7 + 91358*a/7 + 91356/7 = 0. What is a?
-45678, -1
Suppose c**3 + 142937*c**2 - 285877*c + 142939 = 0. Calculate c.
-142939, 1
Determine f so that -21*f**5 + 16974*f**4 + 2759445*f**3 - 789798*f**2 = 0.
-139, 0, 2/7, 947
Factor c**4 - 214*c**3 - 4680*c**2.
c**2*(c - 234)*(c + 20)
Determine i so that 10*i**5 + 4*i**4 - 960*i**3 + 4736*i**2 - 5632*i - 3072 = 0.
-12, -2/5, 4
Factor 2*m**3/3 - 62*m**2/