3)/4
Determine k, given that -2*k**3/7 - 96976*k**2/7 - 96970*k/7 + 193948/7 = 0.
-48487, -2, 1
Factor 3*d**2 + 40944*d - 245772.
3*(d - 6)*(d + 13654)
Factor -2*w**4/15 - 14*w**3/5 - 208*w**2/15.
-2*w**2*(w + 8)*(w + 13)/15
Suppose -4*s**3 - 3016*s**2 + 9084*s = 0. Calculate s.
-757, 0, 3
Find q, given that -3*q**5/4 - 387*q**4/4 - 11991*q**3/4 - 118845*q**2/4 - 96387*q/2 = 0.
-89, -19, -2, 0
Let g**2 - 9064*g + 9063 = 0. Calculate g.
1, 9063
Factor 5*u**2 + 6595*u + 19740.
5*(u + 3)*(u + 1316)
Factor 2*z**2/3 + 70480*z/3 + 620928800/3.
2*(z + 17620)**2/3
Suppose -5729772*k**4/7 + 85954872*k**3/7 - 17769*k**2 + 45*k/7 = 0. Calculate k.
0, 1/1382, 15
Factor 2*s**3/11 - 2920*s**2 + 127960314*s/11 + 8057485404/11.
2*(s - 8061)**2*(s + 62)/11
Factor 7*o**4/3 - 247*o**3/3 + 176*o**2.
o**2*(o - 33)*(7*o - 16)/3
Determine i, given that i**2/4 + 21136*i + 446730496 = 0.
-42272
Suppose -m**2 + 1294758*m - 419099569641 = 0. What is m?
647379
Factor 3*w**3/4 + 4167*w**2/4 + 1562085*w/4 + 78273825/4.
3*(w + 59)*(w + 665)**2/4
Let -w**5/2 - 51*w**4/2 - 173*w**3/2 + 2527*w**2/2 - 2163*w + 1012 = 0. What is w?
-46, -11, 1, 4
Factor -w**2 + 981836*w - 241000482724.
-(w - 490918)**2
Factor 5*y**2 + 2980*y + 351540.
5*(y + 162)*(y + 434)
What is q in q**2/2 - 149636*q + 11195466248 = 0?
149636
Determine v so that -2*v**4/5 - 6*v**3/5 + 198*v**2/5 + 1126*v/5 + 924/5 = 0.
-7, -6, -1, 11
Let -5*s**3 - 26470*s**2 - 158685*s - 237960 = 0. What is s?
-5288, -3
Factor 2*a**2 - 37382*a/9 - 8308/9.
2*(a - 2077)*(9*a + 2)/9
Factor 3*t**2/8 + 1065*t/4 + 531.
3*(t + 2)*(t + 708)/8
Factor 3*t**3/4 + 555*t**2/2 - 5775*t + 29250.
3*(t - 10)**2*(t + 390)/4
Find h, given that -3*h**4 + 120*h**3 - 1161*h**2 + 816*h + 2100 = 0.
-1, 2, 14, 25
Factor 3*m**4/4 - 36243*m**3/2 + 145950561*m**2 - 391828606098*m.
3*m*(m - 8054)**3/4
Factor q**4 - 903*q**3.
q**3*(q - 903)
Factor -4*g**2/7 + 75878*g/7 - 37938/7.
-2*(g - 18969)*(2*g - 1)/7
Determine b so that -b**3/8 - 9347*b**2/4 - 87329009*b/8 + 87403801/2 = 0.
-9349, 4
Factor 2*a**4/19 - 1494*a**3/19 + 2980*a**2/19.
2*a**2*(a - 745)*(a - 2)/19
Factor 5*o**2 - 710*o - 1440.
5*(o - 144)*(o + 2)
Determine u so that 3*u**3/2 - 103107*u**2/2 - 51555*u = 0.
-1, 0, 34370
Suppose 3*d**4/4 - 45*d**3/2 - 612*d**2 + 2760*d = 0. What is d?
-20, 0, 4, 46
Determine g, given that -111*g**2 + 1491*g + 1602 = 0.
-1, 534/37
Solve 9*o**5 + 8772*o**4 + 280116*o**3 + 2995146*o**2 + 10254387*o - 3761406 = 0 for o.
-942, -11, 1/3
Suppose 2*b**2/11 + 8178*b/11 - 73764/11 = 0. Calculate b.
-4098, 9
Determine c, given that -12*c**5 + 6088*c**4 - 770052*c**3 - 554760*c**2 + 4915408*c - 1548384 = 0.
-3, 1/3, 2, 254
Suppose 433*q**2/7 - 6579*q/7 + 180 = 0. What is q?
84/433, 15
Suppose -t**3 - 769*t**2 + 44002*t - 362120 = 0. What is t?
-823, 10, 44
Factor 3*w**2/2 + 7890*w - 15783/2.
3*(w - 1)*(w + 5261)/2
What is i in i**2 - 6966*i + 55664 = 0?
8, 6958
Factor -3*j**3 - 8883*j**2 - 17757*j - 8877.
-3*(j + 1)**2*(j + 2959)
Find s such that -2*s**5/13 + 3568*s**4/13 - 1566156*s**3/13 - 22453424*s**2/13 - 79203698*s/13 = 0.
-7, 0, 899
Factor 2*y**3/13 + 1980*y**2/13 - 15986*y/13 - 17964/13.
2*(y - 9)*(y + 1)*(y + 998)/13
Let 5*d**5 + 275*d**4 + 3135*d**3 - 9115*d**2 - 70300*d = 0. Calculate d.
-37, -19, -4, 0, 5
Solve 147*y**2 - 273168*y + 126906048 = 0.
6504/7
Let -4*s**3 + 9016*s**2 + 16*s - 36064 = 0. What is s?
-2, 2, 2254
Suppose -320*t**4 + 1134960*t**3 - 851100*t**2 + 212765*t - 17730 = 0. Calculate t.
1/4, 3546
Factor -67*c**2/3 - 6436*c/3.
-c*(67*c + 6436)/3
Solve 8*t**3 + 4750*t**2 + 40998*t + 28080 = 0 for t.
-585, -8, -3/4
Factor 4*t**3 - 2200*t**2 - 13372*t + 15568.
4*(t - 556)*(t - 1)*(t + 7)
Determine t so that 6*t**4/7 - 6976*t**3/7 - 137194*t**2/7 + 96884*t/7 + 47280/7 = 0.
-20, -1/3, 1, 1182
Factor -2*m**5/7 - 786*m**4/7 - 2340*m**3/7.
-2*m**3*(m + 3)*(m + 390)/7
Solve -5*y**5 - 36735*y**4 - 110115*y**3 + 330595*y**2 + 844620*y + 440640 = 0 for y.
-7344, -4, -1, 3
Factor j**2/4 - 74501*j/2 - 149003/4.
(j - 149003)*(j + 1)/4
Let -n**5/4 - 4893*n**4/4 - 19525*n**3/2 + 73259*n**2/2 - 156309*n/4 + 53735/4 = 0. Calculate n.
-4885, -11, 1
Factor 2*m**3/11 + 706*m**2/11 - 5020*m/11 + 7200/11.
2*(m - 5)*(m - 2)*(m + 360)/11
Solve y**5/7 + 10*y**4/7 - 395*y**3/7 - 300*y**2 + 2484*y/7 = 0 for y.
-23, -6, 0, 1, 18
Factor -2*f**2/9 - 8692*f/3 - 338650/9.
-2*(f + 13)*(f + 13025)/9
Let w**4/7 - 439*w**3/7 + 8196*w**2 - 1899260*w/7 - 1957072/7 = 0. What is w?
-1, 52, 194
Factor 4*w**4 + 248*w**3 + 4512*w**2 + 28800*w + 41472.
4*(w + 2)*(w + 12)**2*(w + 36)
Determine s so that -4*s**4/7 + 2120*s**3/7 - 285108*s**2/7 + 1115120*s/7 - 1106704/7 = 0.
2, 263
Find f such that -f**2/3 - 797*f - 16688/3 = 0.
-2384, -7
What is y in 2*y**5/5 + 57*y**4/5 + 439*y**3/5 + 486*y**2/5 - 72*y = 0?
-15, -12, -2, 0, 1/2
Factor -q**2/3 + 955*q + 5742.
-(q - 2871)*(q + 6)/3
What is d in -108*d**4 + 536*d**3 + 3044*d**2 - 3344*d - 128 = 0?
-4, -1/27, 1, 8
Factor -5*z**2/4 + 8103*z + 32417/4.
-(z + 1)*(5*z - 32417)/4
Factor -5*c**2 + 40150*c - 80601125.
-5*(c - 4015)**2
Find o such that -o**3 - 14822*o**2 - 54937740*o - 109816200 = 0.
-7410, -2
Factor -10018*s**2/3 - 10022*s/3 - 4/3.
-2*(s + 1)*(5009*s + 2)/3
Find n, given that 4*n**4/7 - 624*n**3/7 + 11264*n**2/7 - 52224*n/7 = 0.
0, 8, 12, 136
Determine r, given that -4*r**5 + 15906*r**4 - 39748*r**3 + 31794*r**2 - 7948*r = 0.
0, 1/2, 1, 3974
Solve -12*z**4 + 207*z**3 - 990*z**2 + 1056*z + 1440 = 0 for z.
-3/4, 4, 10
Determine s, given that 3*s**5/2 + 423*s**4/2 + 8235*s**3/2 - 22935*s**2/2 - 47619*s + 54756 = 0.
-117, -26, -3, 1, 4
Let -s**5/5 - 589*s**4 - 2190247*s**3/5 - 32404443*s**2/5 - 30968928*s - 46358460 = 0. Calculate s.
-1465, -6, -3
Let -3*a**3 - 3*a**2 + 12288*a + 12288 = 0. What is a?
-64, -1, 64
Find v such that v**3 - 4*v**2 - 324*v + 1296 = 0.
-18, 4, 18
Let 2*w**3/15 + 4522*w**2/15 + 4516*w/5 = 0. Calculate w.
-2258, -3, 0
Let 4*l**5 + 21000*l**4 - 847084*l**3 - 3619232*l**2 - 4613232*l - 1862080 = 0. Calculate l.
-5290, -2, -1, 44
Factor 2*a**2 - 4306*a + 4304.
2*(a - 2152)*(a - 1)
Factor -4*x**2 - 133136*x - 1107824656.
-4*(x + 16642)**2
Factor 4*n**2 - 15384*n + 14791716.
4*(n - 1923)**2
What is a in -14*a**5/13 - 590*a**4/13 + 4634*a**3/13 - 3442*a**2/13 - 588*a/13 = 0?
-49, -1/7, 0, 1, 6
Solve 9*r**4 - 93*r**3/2 - 129*r**2/2 + 120*r - 18 = 0.
-2, 1/6, 1, 6
Let -p**4/6 + 433*p**3/6 - 46655*p**2/6 - 47089*p/6 = 0. Calculate p.
-1, 0, 217
Factor -5*y**2 - 391560*y - 391555.
-5*(y + 1)*(y + 78311)
Solve 2*y**2/7 - 106*y/7 + 192 = 0 for y.
21, 32
Determine j so that 2*j**4 + 12856*j**3 + 20582262*j**2 - 248699920*j + 228104800 = 0.
-3220, 1, 11
Factor 2*f**2/5 - 248*f/5 + 726/5.
2*(f - 121)*(f - 3)/5
Find l, given that -l**3/3 - 133*l**2 - 265*l - 397/3 = 0.
-397, -1
Factor -f**2 - 5246*f - 295773.
-(f + 57)*(f + 5189)
Determine t so that -3*t**4/2 - 51*t**3/2 + 381*t**2/2 + 1059*t/2 - 693 = 0.
-22, -3, 1, 7
What is h in -5*h**4/4 + 2330*h**3 + 13995*h**2/2 + 7000*h + 9335/4 = 0?
-1, 1867
Determine d, given that -2*d**3/9 - 134*d**2/3 + 2650*d - 313750/9 = 0.
-251, 25
Solve -4*a**4 + 60*a**3 + 23952*a**2 + 94960*a + 94656 = 0.
-68, -2, 87
Solve -10935*p**4 - 104490*p**3 - 22140*p**2 + 5160*p + 1120 = 0.
-28/3, -2/9, 2/9
Factor 2*f**2 - 1524*f - 3056.
2*(f - 764)*(f + 2)
Determine w, given that 3*w**2/8 - 11799*w/2 + 46405467/2 = 0.
7866
Find j, given that 2*j**2/7 + 1930*j/7 + 15312/7 = 0.
-957, -8
Determine t so that -2*t**5/9 - 1276*t**4/3 - 618164*t**3/3 - 21785528*t**2/9 - 12674294*t/3 - 2009780 = 0.
-951, -10, -1
Determine b, given that -5*b**5 + 30*b**4 - 45*b**3 + 20*b**2 = 0.
0, 1, 4
Factor 3*r**2/7 + 1809*r/7 - 1812/7.
3*(r - 1)*(r + 604)/7
Factor -5*j**2/6 + 37025*j/6 - 92500/3.
-5*(j - 7400)*(j - 5)/6
What is u in 5*u**4 - 900*u**3 + 40190*u**2 - 548100*u + 508805 = 0?
1, 29, 121
Suppose -4*z**4 - 144*z**3 - 1332*z**2 - 2248*z - 1056 = 0. What is z?
-22, -12, -1
Factor -2*h**2/3 - 82675*h - 124012/3.
-(h + 124012)*(2*h + 1)/3
Suppose 8*r**4/3 + 451*r**3/3 + 1792*r**2/3 - 1471*r/3 - 260 = 0. Calculate r.
-52, -5, -3/8, 1
Factor -5*y**3 + 280335*y**2 - 3929525775*y + 3929245445.
-5*(y - 28033)**2*(y - 1)
Factor 2*x**2/11 + 344342*x/11 - 688692/11.
2*(x - 2)*(x + 172173)/11
Factor 2*i**2/9 + 36410*i/9 - 3