 -8445*j**2/4 + 8455*j/4 - 5/2 = 0.
2/1689, 1
Factor 124*i**2 + 55908*i - 7216.
4*(i + 451)*(31*i - 4)
Factor -21*l**2 + 1200210*l + 171459.
-3*(l - 57153)*(7*l + 1)
Suppose 2*b**2/7 - 1500*b/7 + 4482/7 = 0. Calculate b.
3, 747
Solve -2*m**3/11 + 1684*m**2/11 - 149882*m/11 + 148200/11 = 0 for m.
1, 100, 741
Find j such that 4*j**3 - 336*j**2 + 6272*j + 30720 = 0.
-4, 40, 48
Solve l**3/2 + 19919*l**2 + 396766561*l/2 = 0 for l.
-19919, 0
Let -28*n**5 - 428*n**4 - 1968*n**3 - 2768*n**2 - 640*n = 0. Calculate n.
-8, -5, -2, -2/7, 0
Find n such that -2*n**4 - 748*n**3 + 4550*n**2 - 3824*n - 9120 = 0.
-380, -1, 3, 4
Let -2*n**2 - 2558*n - 35420 = 0. Calculate n.
-1265, -14
Factor -2*s**2 + 15888*s - 31553568.
-2*(s - 3972)**2
Suppose -3*c**4/7 + 6*c**3/7 + 6276*c**2 + 87834*c/7 + 6273 = 0. Calculate c.
-119, -1, 123
Determine h so that h**5 + 22*h**4 + 69*h**3 - 544*h**2 + 788*h - 336 = 0.
-14, -12, 1, 2
Find y, given that -y**5 + 900*y**4 - 1788*y**3 - 7202*y**2 + 16173*y - 8082 = 0.
-3, 1, 3, 898
Determine h so that 338*h**3/11 + 11518*h**2 + 15034320*h/11 + 574711200/11 = 0.
-181, -1260/13
Find l such that -l**5/4 - 135*l**4/4 + 433*l**3 - 1188*l**2 - 1728*l + 5292 = 0.
-147, -2, 2, 6
What is t in -3*t**3 + 483*t**2 + 14883*t - 3557763 = 0?
-81, 121
Factor -3*d**2 - 831*d + 89640.
-3*(d - 83)*(d + 360)
Let -5*m**2 + 30660*m + 707825 = 0. Calculate m.
-23, 6155
What is v in 2*v**3 - 44164*v**2 + 243895666*v - 974876168 = 0?
4, 11039
Factor -3*b**3/2 + 6339*b**2/2 - 12669*b/2 + 6333/2.
-3*(b - 2111)*(b - 1)**2/2
Solve -2*p**2/5 - 442*p/5 + 46644/5 = 0 for p.
-299, 78
What is b in b**4/3 + 155450*b**3/3 + 6041175625*b**2/3 = 0?
-77725, 0
Determine r so that -r**3/6 + 40*r**2 - 239*r/6 = 0.
0, 1, 239
Factor -2*s**2 - 17642*s + 265080.
-2*(s - 15)*(s + 8836)
Factor 3*s**3 + 816*s**2 + 23559*s - 24378.
3*(s - 1)*(s + 34)*(s + 239)
Factor 4*x**2 - 3528*x + 7040.
4*(x - 880)*(x - 2)
Solve -2*m**3 + 1412*m**2 - 13970*m + 34800 = 0 for m.
5, 696
Factor -3*g**2 + 8874*g.
-3*g*(g - 2958)
Determine g so that -479*g**4/5 - 1603*g**3/5 - 387*g**2 - 977*g/5 - 166/5 = 0.
-1, -166/479
Factor -3*d**2/8 + 158331*d/4 - 8356235187/8.
-3*(d - 52777)**2/8
Factor 5*g**4/6 + 145*g**3/6 - 10*g**2/3 - 290*g/3.
5*g*(g - 2)*(g + 2)*(g + 29)/6
Factor -4*v**2 + 1080*v - 63296.
-4*(v - 184)*(v - 86)
Solve 18564*x**3 - 2708*x**2 - 15904*x + 48 = 0 for x.
-6/7, 2/663, 1
Suppose b**5 - 2082*b**4/5 + 221267*b**3/5 - 943074*b**2/5 + 195700*b - 254616/5 = 0. Calculate b.
2/5, 1, 3, 206
Factor 2*s**2/7 - 542268*s/7 + 36756822978/7.
2*(s - 135567)**2/7
Let 35*t**4 + 22235*t**3 + 116810*t**2 + 163860*t + 37800 = 0. What is t?
-630, -3, -2, -2/7
Let 30*b**4 + 6183*b**3 + 324978*b**2 + 656676*b + 62424 = 0. Calculate b.
-102, -2, -1/10
Find m, given that -12*m**4/5 - 52*m**3/5 + 312*m**2/5 - 64*m = 0.
-8, 0, 5/3, 2
Solve -q**3 - 56*q**2 - 259*q - 204 = 0 for q.
-51, -4, -1
Suppose -4*r**2 - 9889496*r - 6112633195876 = 0. What is r?
-1236187
Let 22*l**4/7 - 3054*l**3/7 - 90756*l**2/7 - 16400*l/7 = 0. Calculate l.
-25, -2/11, 0, 164
Solve -130*d**5 + 785*d**4 + 3480*d**3 + 385*d**2 - 4700*d + 180 = 0.
-2, 1/26, 1, 9
Suppose 3*v**5 - 24*v**4 - 363*v**3 - 336*v**2 = 0. What is v?
-7, -1, 0, 16
Determine b, given that b**5/10 - 397*b**4/5 + 69147*b**3/5 - 4510204*b**2/5 + 39828941*b/2 + 104152101/5 = 0.
-1, 71, 582
Solve -5*z**5/2 + 115*z**4/2 - 465*z**3/2 - 2275*z**2/2 - 845*z = 0 for z.
-2, -1, 0, 13
What is v in -v**4/3 + 6593*v**3/3 + 66005*v**2/3 + 55025*v = 0?
-5, 0, 6603
Solve 20*x**4 + 576*x**3 + 2868*x**2 + 4696*x + 2208 = 0 for x.
-23, -3, -2, -4/5
Suppose 3*m**2 + 1108860*m + 102464208300 = 0. What is m?
-184810
Factor -i**5/3 - 14387*i**4/3 - 68976067*i**3/3 - 36702897543*i**2 + 147087647928*i - 147179692764.
-(i - 2)**2*(i + 4797)**3/3
Factor p**2 + 1316*p - 52845.
(p - 39)*(p + 1355)
Suppose 3*a**5/2 + 717*a**4/2 - 5937*a**3/2 - 2145*a**2/2 + 9609*a - 5928 = 0. Calculate a.
-247, -2, 1, 8
Find l such that 45*l**2 - 1640256*l + 218700 = 0.
2/15, 36450
Factor q**4 - 359*q**3 + 8085*q**2 - 15097*q + 7370.
(q - 335)*(q - 22)*(q - 1)**2
Determine y, given that -8*y**2/5 - 3622*y/5 + 906/5 = 0.
-453, 1/4
Factor 2*c**2/5 - 1532*c + 7658/5.
2*(c - 3829)*(c - 1)/5
Factor 17304*h**2 - 1018*h - 60.
2*(21*h - 2)*(412*h + 15)
Let l**2/5 + 1683*l/5 + 3346 = 0. What is l?
-1673, -10
Let 2*k**4 - 5662*k**3 - 14*k**2 + 39622*k + 33972 = 0. What is k?
-2, -1, 3, 2831
Let -3*g**4/8 + 471*g**3/8 + 4923*g**2/8 + 14469*g/8 + 2505/2 = 0. What is g?
-5, -4, -1, 167
Solve -15*d**2 + 44410*d + 44425 = 0.
-1, 8885/3
Suppose -704969*x**5 + 4633785*x**4 - 9447706*x**3 + 2781090*x**2 + 10152675*x - 7414875 = 0. What is x?
-1, 1, 195/89
Let -62*f**5 + 2556*f**4 - 574*f**3 = 0. Calculate f.
0, 7/31, 41
Find x, given that 4*x**4/9 - 25822*x**3/9 + 4632538*x**2 - 62494082*x/9 + 20827058/9 = 0.
1/2, 1, 3227
Factor y**5 - 7*y**4 - 53*y**3 + 315*y**2.
y**2*(y - 9)*(y - 5)*(y + 7)
Factor -5*a**3 + 810*a**2 - 2385*a.
-5*a*(a - 159)*(a - 3)
Solve -x**3 - 607*x**2 - 606*x = 0.
-606, -1, 0
Factor -134520*a**2 + 538071*a + 36.
-3*(a - 4)*(44840*a + 3)
Suppose j**2/6 + 4049*j/6 - 28441/3 = 0. What is j?
-4063, 14
Find z such that 5*z**3 - 4515*z**2 + 1291680*z - 119094300 = 0.
234, 435
Factor -5*v**5 - 600*v**4 - 17390*v**3 + 36600*v**2 - 18605*v.
-5*v*(v - 1)**2*(v + 61)**2
Factor 2*m**2 - 2131348*m + 567830537138.
2*(m - 532837)**2
Factor -3*c**3/4 + 524829*c**2/4 - 5738644290*c + 17214752025.
-3*(c - 87470)**2*(c - 3)/4
Factor -3*z**2 - 2049*z - 2046.
-3*(z + 1)*(z + 682)
Let 3*y**3 + 927*y**2 + 30498*y + 83232 = 0. What is y?
-272, -34, -3
Suppose -2*g**3/13 - 10292*g**2/13 - 51422*g/13 - 61692/13 = 0. What is g?
-5141, -3, -2
Factor -5*k**4 + 490*k**3 - 7360*k**2 + 39350*k - 70875.
-5*(k - 81)*(k - 7)*(k - 5)**2
Suppose -p**4/6 + 131*p**3/6 + 179*p**2/2 + 135*p/2 = 0. What is p?
-3, -1, 0, 135
Factor -k**2/2 + 1372*k - 16392.
-(k - 2732)*(k - 12)/2
Find h, given that -h**2/5 + 26771*h/5 + 26772/5 = 0.
-1, 26772
What is j in -j**5/2 + 23*j**4/2 - 57*j**3 + 106*j**2 - 68*j = 0?
0, 2, 17
Factor -4*j**3/9 + 112*j**2/9 - 176*j/3.
-4*j*(j - 22)*(j - 6)/9
Solve -3*t**5 - 4130*t**4/3 + 476*t**3/3 + 7802*t**2/3 - 467*t/3 - 1224 = 0 for t.
-459, -1, -8/9, 1
Factor 2*n**2 - 5158*n + 25740.
2*(n - 2574)*(n - 5)
Determine h so that -8*h**4 + 746*h**3 - 4308*h**2 - 3654*h = 0.
-3/4, 0, 7, 87
Determine f, given that -2*f**2 - 2202*f + 60912 = 0.
-1128, 27
Let 2*q**4/23 - 34*q**3/23 - 1240*q**2/23 - 4488*q/23 - 4320/23 = 0. What is q?
-15, -2, 36
Factor 2*j**3/11 + 938*j**2/11 + 2760*j/11 - 16776/11.
2*(j - 3)*(j + 6)*(j + 466)/11
Let h**3/3 + 12686*h**2 + 38057*h/3 = 0. Calculate h.
-38057, -1, 0
Find r, given that 2*r**2 + 1356*r - 26486 = 0.
-697, 19
Factor 49*c**3/2 + 3465*c**2 + 11664*c + 9936.
(c + 138)*(7*c + 12)**2/2
Let -o**5/2 - 801*o**4/2 - 1197*o**3 + 2*o**2 + 1596*o = 0. Calculate o.
-798, -2, 0, 1
Factor -2*c**3 + 4606*c**2 - 18400*c + 18392.
-2*(c - 2299)*(c - 2)**2
Solve 86*n**3/15 - 242*n**2/15 - 16*n/5 = 0 for n.
-8/43, 0, 3
Solve -81*n**4 + 9414*n**3 + 6393*n**2 - 9414*n - 6312 = 0 for n.
-1, -2/3, 1, 1052/9
Factor 695*l**2/3 + 7*l/6.
l*(1390*l + 7)/6
Factor 4*y**2/3 - 456248*y/3 - 912512/3.
4*(y - 114064)*(y + 2)/3
Determine g, given that -g**3/4 - 3*g**2 + 8713*g/4 - 2175 = 0.
-100, 1, 87
Solve -4*p**5 + 484*p**4 + 8448*p**3 - 39472*p**2 + 41344*p = 0.
-19, 0, 2, 136
Factor -3*a**4 + 97614*a**3 - 292824*a**2 + 292818*a - 97605.
-3*(a - 32535)*(a - 1)**3
Factor -y**2/2 + 79*y - 1496.
-(y - 136)*(y - 22)/2
Factor 2*v**3/19 - 2050*v**2/19 + 8176*v/19 - 8168/19.
2*(v - 1021)*(v - 2)**2/19
Factor 3*t**2/8 + 6003*t/8 - 15045/4.
3*(t - 5)*(t + 2006)/8
Determine v, given that -2*v**2 - 3566*v - 613740 = 0.
-1590, -193
What is l in 2*l**3/11 + 3640*l**2/11 + 1110874*l/11 + 93687884/11 = 0?
-1462, -179
Factor 98*c**2 - 407848*c + 424336712.
2*(7*c - 14566)**2
Solve -3*b**4/5 - 597*b**3/5 - 1914*b**2 - 52956*b/5 - 19656 = 0.
-182, -6, -5
Determine d, given that -6206*d**2/9 - 4138*d/3 - 4/9 = 0.
-2, -1/3103
Let -5*x**4 + 270*x**3 - 715*x**2 - 2550*x = 0. What is x?
-2, 0, 5, 51
Let -10*i**5/13 - 4744*i**4/13 + 41494*i**3/13 - 21284*i**2/13 - 15456*i/13 = 0. Calculate i.
-483, -2/5, 0, 1, 8
Suppose a**5 - 180*a**4 + 533*