6
Factor g**3 + 242*g**2 + 14255*g + 14014.
(g + 1)*(g + 98)*(g + 143)
Let 5*f**3/2 - 5435*f**2/2 + 37615*f - 64380 = 0. Calculate f.
2, 12, 1073
Factor -3*o**3 + 1407*o**2 - 4194*o.
-3*o*(o - 466)*(o - 3)
Let -2*z**4 - 74*z**3 + 476*z**2 + 2288*z - 2688 = 0. What is z?
-42, -4, 1, 8
Solve 2*f**2/7 - 6*f/7 - 1188 = 0.
-63, 66
Factor -5*p**2 - 2285*p - 238950.
-5*(p + 162)*(p + 295)
Determine n so that -3*n**5/5 + 3*n**4/5 + 831*n**3/5 + 3957*n**2/5 - 4788*n/5 = 0.
-12, -7, 0, 1, 19
Factor 5*j**4 - 510*j**3 - 14375*j**2.
5*j**2*(j - 125)*(j + 23)
Let -3*c**2 - 3354*c + 299049 = 0. What is c?
-1201, 83
Determine b, given that 2*b**3 + 13680*b**2 - 13682*b = 0.
-6841, 0, 1
Factor 2*o**3 - 13683*o**2 + 34188*o + 47873.
(o - 6839)*(o + 1)*(2*o - 7)
Factor -5*v**2 + 258395*v + 258400.
-5*(v - 51680)*(v + 1)
Solve -33*t**4 - 14031*t**3 - 139797*t**2 - 148209*t - 22410 = 0.
-415, -9, -1, -2/11
Suppose f**2/2 + 4869*f/2 + 7299 = 0. What is f?
-4866, -3
Factor m**3/2 - 239*m**2 - 9941*m/2 - 4731.
(m - 498)*(m + 1)*(m + 19)/2
Factor -3*c**2/2 + 5985*c/2 + 344004.
-3*(c - 2104)*(c + 109)/2
Solve -2*g**3/3 - 27592*g**2/3 = 0 for g.
-13796, 0
Factor m**2 + 410378*m + 42102525721.
(m + 205189)**2
Factor 5*h**3 + 85*h**2 + 460*h + 800.
5*(h + 4)*(h + 5)*(h + 8)
Let -p**4/2 + 938*p**3 - 585899*p**2 + 136926426*p - 21309284529/2 = 0. What is p?
197, 741
Suppose 2*j**5/23 + 128*j**4/23 - 43320*j**3/23 + 43060*j**2/23 + 43318*j/23 - 43188/23 = 0. What is j?
-183, -1, 1, 118
Let 2*v**3/5 + 357012*v**2/5 + 15932196018*v/5 = 0. What is v?
-89253, 0
Let -2*w**3 + 6868*w**2 - 13730*w + 6864 = 0. What is w?
1, 3432
Let -362*m**5/15 + 1520*m**4/3 + 5444*m**3/5 + 8416*m**2/15 + 46*m/15 = 0. What is m?
-1, -1/181, 0, 23
Factor 3*x**2/5 - 2416*x/5 - 807.
(x - 807)*(3*x + 5)/5
Factor -2*i**2/5 + 2282*i/5 + 15980.
-2*(i - 1175)*(i + 34)/5
Find w, given that -2*w**3 + 20479*w**2 - 40952*w + 20475 = 0.
1, 20475/2
Factor 2*d**2/9 - 1588*d/9 - 32198.
2*(d - 947)*(d + 153)/9
Factor -o**2 + 4795*o - 142950.
-(o - 4765)*(o - 30)
Determine c so that -4*c**2/7 + 2808*c/7 = 0.
0, 702
Factor -45*r**3 + 777*r**2.
-3*r**2*(15*r - 259)
Factor 31*c**4 - 3654*c**3 + 103688*c**2 + 236640*c + 28800.
(c - 60)**2*(c + 2)*(31*c + 4)
Solve -84*b**5 + 693164*b**4 + 33100*b**3 - 759180*b**2 - 33016*b + 66016 = 0 for b.
-1, -1/3, 2/7, 1, 8252
Find w, given that 2*w**3/3 + 1564*w**2/3 - 104656*w/3 = 0.
-844, 0, 62
Solve 2156*d**3 + 6444*d**2 - 8696*d + 96 = 0 for d.
-4, 6/539, 1
Factor 8*x**2/9 + 770*x/3 + 2302/9.
2*(x + 1)*(4*x + 1151)/9
Factor -s**3/2 - 44*s**2 - 938*s - 5880.
-(s + 14)**2*(s + 60)/2
Factor -36*y**3 + 37516*y**2 + 112872*y.
-4*y*(y + 3)*(9*y - 9406)
Factor -4*p**2/7 + 55564*p/7 + 31760.
-4*(p - 13895)*(p + 4)/7
Factor -h**2/6 + 2923*h/2 + 17546/3.
-(h - 8773)*(h + 4)/6
Suppose -2*c**4 - 652*c**3 + 22400*c**2 - 183296*c = 0. What is c?
-358, 0, 16
Factor 4*h**2 + 1048*h - 26220.
4*(h - 23)*(h + 285)
Factor -v**2/2 - 131*v/2 + 5605.
-(v - 59)*(v + 190)/2
Factor y**2/6 - 6661*y + 133106763/2.
(y - 19983)**2/6
Factor 5*s**3 + 280*s**2 + 540*s.
5*s*(s + 2)*(s + 54)
Factor g**3 + 3347*g**2 + 53360*g + 213184.
(g + 8)**2*(g + 3331)
Determine z so that -4*z**3 - 17612*z**2 - 210848*z - 351280 = 0.
-4391, -10, -2
Factor -3*m**3 - 682*m**2 - 11495*m.
-m*(m + 209)*(3*m + 55)
Find z such that -55*z**4/4 - 1235*z**3/4 - 6295*z**2/4 - 1965*z/4 + 1575/2 = 0.
-15, -7, -1, 6/11
Factor 3*v**2 - 577818*v + 27822803427.
3*(v - 96303)**2
Factor 146*q**2 + 912*q.
2*q*(73*q + 456)
Factor -x**3 + 305*x**2 - 25632*x + 352512.
-(x - 144)**2*(x - 17)
Factor -2*d**3/11 + 2010*d**2/11 - 69768*d/11.
-2*d*(d - 969)*(d - 36)/11
Solve 5*w**4 - 1055*w**3 - 2165*w**2 + 7475*w - 4260 = 0.
-4, 1, 213
Factor -3*g**3 + 480*g**2 + 13248*g.
-3*g*(g - 184)*(g + 24)
Factor -4*u**3 + 1108*u**2 - 72096*u + 70992.
-4*(u - 174)*(u - 102)*(u - 1)
Let 20*a**3/11 - 26618*a**2/11 - 2668*a/11 + 726 = 0. What is a?
-3/5, 1/2, 1331
Determine f, given that -27*f**4/5 + 2247*f**3/5 - 4224*f**2/5 - 10332*f + 11664/5 = 0.
-4, 2/9, 6, 81
Suppose -294*m**5 - 1750*m**4 + 8914*m**3/3 + 5238*m**2 - 3968*m - 14336/3 = 0. Calculate m.
-7, -1, 32/21
Factor -5*w**2 + 448720*w.
-5*w*(w - 89744)
Let -d**4/2 + 47*d**3 - 1479*d**2/2 - 47*d + 740 = 0. What is d?
-1, 1, 20, 74
Factor -2*g**2/7 - 348134*g/7 + 1044420/7.
-2*(g - 3)*(g + 174070)/7
Factor -n**4/2 - 256*n**3 + 771*n**2 - 772*n + 515/2.
-(n - 1)**3*(n + 515)/2
Let l**3/2 - 40447*l**2 - 323589*l/2 - 121347 = 0. Calculate l.
-3, -1, 80898
Find r, given that -5*r**4 + 395*r**3 - 7570*r**2 - 10400*r + 48000 = 0.
-3, 2, 40
Determine x so that x**4 - 359*x**3 - 3312*x**2 = 0.
-9, 0, 368
What is m in -9*m**4/2 + 123*m**3/2 - 174*m**2 + 90*m = 0?
0, 2/3, 3, 10
Determine i so that -45*i**5/2 - 35679*i**4/4 - 328869*i**3/4 - 118023*i**2/4 + 154359*i/4 - 10449/2 = 0.
-387, -9, -1, 1/6, 2/5
What is n in -3*n**4/2 + 9665*n**3 - 31130963*n**2/2 - 10384506*n + 5190642 = 0?
-1, 1/3, 3222
Factor 3*g**3/8 + 1251*g**2/8 + 90945*g/8 + 1836057/8.
3*(g + 43)**2*(g + 331)/8
Factor 2*x**3/9 - 290774*x**2/3 + 10568544496*x + 31706505816.
2*(x - 218082)**2*(x + 3)/9
Find r, given that r**5 - 252*r**4 + 5590*r**3 + 19320*r**2 - 5591*r - 19068 = 0.
-3, -1, 1, 28, 227
Factor 3*c**2/5 + 1965069*c/5 - 1965072/5.
3*(c - 1)*(c + 655024)/5
Factor -3*r**2/5 + 882768*r/5.
-3*r*(r - 294256)/5
Find o such that -2*o**4 + 1408*o**3 - 323130*o**2 + 24141764*o - 47002240 = 0.
2, 160, 271
Determine k so that k**5 - 23616*k**4 + 139405245*k**3 + 278904962*k**2 = 0.
-2, 0, 11809
Determine l, given that 57*l**4/8 + 1647*l**3/8 + 327*l**2/2 - 837*l/2 + 42 = 0.
-28, -2, 2/19, 1
Determine l, given that 3*l**5 - 297*l**4 + 3930*l**3 + 4530*l**2 - 3933*l - 4233 = 0.
-1, 1, 17, 83
Find j such that -4*j**3 - 356*j**2 - 5596*j - 5244 = 0.
-69, -19, -1
Let -y**3/4 - 3787*y**2/4 = 0. What is y?
-3787, 0
Determine p, given that -p**2 - 1180*p + 10701 = 0.
-1189, 9
Factor 5*b**4 + 215*b**3 + 3130*b**2 + 16960*b + 23040.
5*(b + 2)*(b + 9)*(b + 16)**2
Suppose 5*i**2 + 18600*i + 1187875 = 0. What is i?
-3655, -65
Factor 4*i**4 - 188*i**3 + 540*i**2 - 532*i + 176.
4*(i - 44)*(i - 1)**3
Factor 5*b**3 - 560*b**2 + 2135*b + 2700.
5*(b - 108)*(b - 5)*(b + 1)
Factor 2*l**5 + 2794*l**4 + 5582*l**3 + 2790*l**2.
2*l**2*(l + 1)**2*(l + 1395)
Find x, given that 3*x**4 - 1060830*x**3/7 + 13395933849*x**2/7 + 30624213672*x/7 + 7656204972/7 = 0.
-2, -2/7, 25259
What is b in -2*b**2/5 - 492*b/5 + 1494/5 = 0?
-249, 3
Factor a**3/2 + a**2/2 - 20*a - 56.
(a - 7)*(a + 4)**2/2
Suppose 4*d**2/5 - 3344*d/5 + 138908 = 0. What is d?
385, 451
Factor 14*m**3 + 11908*m**2 + 2535550*m + 1445000.
2*(m + 425)**2*(7*m + 4)
Let -590*k**5 + 53685*k**4 - 257965*k**3 + 406090*k**2 - 199500*k - 1720 = 0. Calculate k.
-1/118, 1, 2, 86
Factor -3*o**3/5 - 10689*o**2 - 427416*o/5 - 854736/5.
-3*(o + 4)**2*(o + 17807)/5
Find o, given that 3*o**3 + 490689*o**2 + 490680*o - 981372 = 0.
-163562, -2, 1
Determine r so that r**2/6 - 13*r/6 - 4732/3 = 0.
-91, 104
Factor 16*x**2/9 - 583156*x/9 + 48596/3.
4*(x - 36447)*(4*x - 1)/9
Suppose -2*w**4 - 964*w**3 - 1918*w**2 + 964*w + 1920 = 0. What is w?
-480, -2, -1, 1
Solve -50*x**4/3 - 7796*x**3/3 - 30542*x**2 + 107480*x/3 - 8008/3 = 0 for x.
-143, -14, 2/25, 1
Let 4*l**3/5 + 2216*l**2/5 + 95588*l/5 + 1074928/5 = 0. What is l?
-508, -23
Factor 5*m**4 + 8520*m**3 + 25530*m**2 + 25520*m + 8505.
5*(m + 1)**3*(m + 1701)
Suppose v**4 - 23*v**3 + 139*v**2 - 297*v + 180 = 0. Calculate v.
1, 3, 4, 15
Let q**2/3 + 481*q/3 - 12650/3 = 0. What is q?
-506, 25
What is g in -5*g**4 - 325*g**3 + 4795*g**2 - 21075*g + 29250 = 0?
-78, 3, 5
Determine m so that 2*m**3 + 648*m**2 - 10142*m + 9492 = 0.
-339, 1, 14
Factor -2*j**3/17 - 1348*j**2/17 + 9534*j/17.
-2*j*(j - 7)*(j + 681)/17
Let -f**4/6 + 125*f**3/6 - 1597*f**2/3 + 13454*f/3 - 9212 = 0. What is f?
3, 14, 94
Find g such that g**5 - 63285*g**4/2 + 250383138*g**3 - 2252546509*g**2/2 + 1501507842*g - 500481522 = 0.
1/2, 2, 15819
Suppose -39*b**4/8 - 759*b**3/4 + 1677*b**2/8 - 15*b = 0. Calculate b.
-40, 0, 1/13, 1
Suppose -4*u**4/3 - 28*u**3/3 + 724*u**2/3 + 748*u/3 = 0. Calculate u.
-17, -1, 0, 11
Let -c**3/2 + 1065*c**2/2 - 1591*c - 2124 = 0. Calculate c.
-1, 4, 1062
Factor n**3/4 - 271*n**2/4 - 15361*n/4 + 156