
Determine n, given that n**5 - 1413*n**4 - 4245*n**3 - 4247*n**2 - 1416*n = 0.
-1, 0, 1416
Factor -4*n**3/7 + 172*n**2 - 4764*n/7 + 3564/7.
-4*(n - 297)*(n - 3)*(n - 1)/7
Factor 3*f**2/2 + 63867*f/8 + 7983/4.
3*(f + 5322)*(4*f + 1)/8
Factor 3*o**2/5 - 18687*o + 93420.
3*(o - 31140)*(o - 5)/5
Factor -51*l**2 + 510414*l - 60048.
-3*(l - 10008)*(17*l - 2)
Factor 2*z**3 - 3164*z**2 + 68882*z - 377520.
2*(z - 1560)*(z - 11)**2
Factor -16680*o**4 + 16676*o**3 + 4*o**2.
-4*o**2*(o - 1)*(4170*o + 1)
Factor -d**2 + 278*d + 1128.
-(d - 282)*(d + 4)
Factor 2*x**5/13 - 976*x**4/13 - 9910*x**3/13 - 24900*x**2/13.
2*x**2*(x - 498)*(x + 5)**2/13
Factor -2*k**2/3 + 193900*k/3 - 4699651250/3.
-2*(k - 48475)**2/3
Determine u so that -35*u**5 + 5295*u**4 - 11835*u**3 - 12695*u**2 + 4470*u = 0.
-1, 0, 2/7, 3, 149
Let 2*j**2/9 + 3658*j/9 - 18340/9 = 0. What is j?
-1834, 5
Find m, given that -5*m**2 - 6070*m + 79755 = 0.
-1227, 13
Find j, given that 4*j**5 + 3246*j**4 - 204751*j**3/4 + 71297*j**2 - 105015*j/4 + 5789/2 = 0.
-827, 1/4, 1, 14
Factor 4*p**3/3 + 1088*p**2/3 + 76112*p/3 + 287296/3.
4*(p + 4)*(p + 134)**2/3
Factor v**4/4 + 159*v**3/4 + 297*v**2 - 755*v.
v*(v - 2)*(v + 10)*(v + 151)/4
Find b, given that -2*b**5 - 732*b**4 - 67682*b**3 - 124464*b**2 + 737464*b + 794976 = 0.
-182, -4, -1, 3
Factor -y**2/3 - 34256*y - 880105152.
-(y + 51384)**2/3
Factor 4*a**2 + 32136*a + 64545156.
4*(a + 4017)**2
Factor 4*v**2 - 540*v + 11664.
4*(v - 108)*(v - 27)
Solve -4*l**2 - 72*l + 76 = 0 for l.
-19, 1
Solve -3*n**5 - 3546*n**4 + 28494*n**3 - 78468*n**2 + 85653*n - 32130 = 0 for n.
-1190, 1, 3
Factor 8*c**3 - 321*c**2 + 1836*c + 24300.
(c - 18)*(c + 6)*(8*c - 225)
Find g such that -4*g**4 + 1136*g**3 - 9980*g**2 + 22048*g - 13200 = 0.
1, 2, 6, 275
Factor -g**3/4 + 185*g**2/4 + 162*g - 21483.
-(g - 186)*(g - 21)*(g + 22)/4
Factor -158*a**2/7 - 356*a/7 - 80/7.
-2*(a + 2)*(79*a + 20)/7
Determine d, given that -3*d**3 + 1002*d**2 - 6813*d - 17658 = 0.
-2, 9, 327
Factor w**3 - 16*w**2 - 715*w - 4598.
(w - 38)*(w + 11)**2
Find q, given that 16*q**2/5 - 13766*q/5 - 1722 = 0.
-5/8, 861
What is n in -1670*n**4/7 + 3348*n**3/7 - 1686*n**2/7 + 8*n/7 = 0?
0, 4/835, 1
Find v such that -2*v**5/3 - 16*v**4 - 254*v**3/3 - 80*v**2 + 544*v/3 = 0.
-17, -4, 0, 1
Factor 2*v**3 + 63726*v**2 + 63720*v - 127448.
2*(v - 1)*(v + 2)*(v + 31862)
Factor 5*o**3 + 14405*o**2 - 115560*o.
5*o*(o - 8)*(o + 2889)
Determine z so that z**3/8 + 10*z**2 - 19241*z/8 - 2415 = 0.
-184, -1, 105
What is f in -f**3/4 - 113*f**2/2 - 4967*f/4 - 12019/2 = 0?
-202, -17, -7
Suppose j**4 - 49*j**3 - 103*j**2 + 49*j + 102 = 0. What is j?
-2, -1, 1, 51
Factor 5*n**5/2 - 5*n**4 - 415*n**3/2 + 210*n**2 + 4410*n.
5*n*(n - 7)**2*(n + 6)**2/2
What is i in i**4/8 - 5*i**3/8 - 73*i**2/8 + 245*i/8 + 147 = 0?
-7, -3, 7, 8
Suppose -6*r**3/7 - 170*r**2/7 - 484*r/7 + 400/7 = 0. What is r?
-25, -4, 2/3
Solve -4*j**4 - 142020*j**3 - 568036*j**2 - 710028*j - 284008 = 0.
-35501, -2, -1
Factor -2*m**4 - 121*m**3 - 1606*m**2 + 6784*m - 6144.
-(m - 2)*(m + 32)**2*(2*m - 3)
Let 4*s**3 + 100768*s**2 - 201548*s + 100776 = 0. Calculate s.
-25194, 1
Suppose -z**3/5 + 2606*z**2/5 + 44591*z/5 = 0. Calculate z.
-17, 0, 2623
Suppose -3*m**3 - 214791*m**2 - 3844705200*m - 3844490412 = 0. What is m?
-35798, -1
Factor -4*k**3/3 + 52130*k**2/3 + 26066*k/3.
-2*k*(k - 13033)*(2*k + 1)/3
Let -8*d**5/7 - 578*d**4/7 - 1256*d**3/7 + 298*d**2/7 + 1264*d/7 + 40 = 0. What is d?
-70, -2, -1, -1/4, 1
Factor -4*u**4 - 1284*u**3 - 19520*u**2.
-4*u**2*(u + 16)*(u + 305)
Let -3*q**3 - 13599*q**2 + 54432*q - 54444 = 0. Calculate q.
-4537, 2
Solve 2*i**2/25 - 15552*i/25 + 124288/25 = 0.
8, 7768
Find q such that 5*q**4 - 2370730*q**3 + 374687554500*q**2 - 19738790137475000*q - 78961155702500000 = 0.
-4, 158050
Factor v**2/8 - 4*v + 15/2.
(v - 30)*(v - 2)/8
Determine y, given that -2*y**2/3 - 3895936*y/3 - 1897289664512/3 = 0.
-973984
Suppose 4*j**3 + 356*j**2 + 700*j + 348 = 0. Calculate j.
-87, -1
Solve -2*a**5/5 + 32*a**4 + 17388*a**3/5 + 448592*a**2/5 + 3625766*a/5 = 0.
-23, 0, 149
Suppose -24*n**2/5 + 202*n/5 + 126/5 = 0. Calculate n.
-7/12, 9
Factor 2*z**2/3 + 3700*z/3 - 14896.
2*(z - 12)*(z + 1862)/3
Factor 3*u**3 + 141*u**2 - 600*u + 612.
3*(u - 2)**2*(u + 51)
Factor -2*q**3/13 - 70*q**2/13 - 684*q/13 - 2016/13.
-2*(q + 6)*(q + 8)*(q + 21)/13
Determine k, given that 3*k**3 + 36*k**2 - 189*k - 810 = 0.
-15, -3, 6
Factor 3*o**4 - 17856*o**3 + 26551866*o**2 + 53157312*o + 26587587.
3*(o - 2977)**2*(o + 1)**2
Factor -4*p**3 + 556992*p**2 + 1113996*p + 557000.
-4*(p - 139250)*(p + 1)**2
Find a such that -49*a**3 + 2919*a**2 - 1656*a + 236 = 0.
2/7, 59
Solve r**5 + 10*r**4 - 101*r**3 - 542*r**2 + 1792*r + 7840 = 0 for r.
-14, -4, 5, 7
Determine u so that 2*u**2/17 + 1192*u/17 - 340554/17 = 0.
-807, 211
Suppose 45*d**2 + 24085*d + 166390 = 0. What is d?
-4754/9, -7
What is k in -24642*k**4/5 + 5361744*k**3 + 1932256*k**2/5 + 34816*k/5 = 0?
-4/111, 0, 1088
Factor -4*t**3 - 10068*t**2 - 7293852*t - 1156496076.
-4*(t + 219)*(t + 1149)**2
Find v such that -2*v**2/7 - 232*v/7 - 810 = 0.
-81, -35
Factor y**3/6 + 58103*y**2/3 + 38735*y/2.
y*(y + 1)*(y + 116205)/6
Factor -3*w**2/5 - 207912*w/5 - 3602283312/5.
-3*(w + 34652)**2/5
Find a, given that 2*a**5/7 - 1074*a**4/7 + 62172*a**3/7 = 0.
0, 66, 471
Factor 2*w**2/3 + 36*w - 6048.
2*(w - 72)*(w + 126)/3
Suppose -32*s**5/3 - 1328*s**4 - 1958*s**3 + 3686*s**2/3 - 164*s = 0. What is s?
-123, -2, 0, 1/4
Solve a**5/6 + 35*a**4 + 5512*a**3/3 - 35*a**2 - 3675*a/2 = 0 for a.
-105, -1, 0, 1
Solve 11250*t**5/7 - 281850*t**4/7 - 277492*t**3/7 + 2200*t**2 - 208*t/7 = 0.
-1, 0, 2/75, 26
Suppose 3*j**5/7 + 237*j**4/7 - 3723*j**3/7 + 16767*j**2/7 - 23328*j/7 + 10044/7 = 0. Calculate j.
-93, 1, 6
Factor -2*x**2 - 16140*x.
-2*x*(x + 8070)
What is k in 4*k**2 - 423568*k + 1694208 = 0?
4, 105888
Factor 343*u**4/8 - 16678571*u**3/4 - 7148001*u**2/2 - 1021145*u - 97252.
(u - 97252)*(7*u + 2)**3/8
What is q in -q**3 - 8598*q**2 - 18489996*q - 36945608 = 0?
-4298, -2
Find n such that 4*n**3/5 - 156*n**2/5 - 2756*n + 13932/5 = 0.
-43, 1, 81
Solve -3*y**3 + 9630*y**2 - 7728075*y = 0 for y.
0, 1605
Determine v, given that -20*v**3/7 + 512*v**2/7 + 1948*v/7 + 696/7 = 0.
-3, -2/5, 29
Factor z**4/6 + 145*z**3/6 + 1339*z**2/6 - 495*z/2.
z*(z - 1)*(z + 11)*(z + 135)/6
Factor 28*k**3 - 4516*k**2 - 230608*k + 66256.
4*(k - 202)*(k + 41)*(7*k - 2)
Factor 5404*i**2 + 37776*i - 364.
4*(i + 7)*(1351*i - 13)
Factor -3*n**2 + 723*n - 34650.
-3*(n - 175)*(n - 66)
Factor 5*l**3/6 - 13295*l**2/6 + 8817875*l/6 + 8857805/2.
5*(l - 1331)**2*(l + 3)/6
Solve 4*s**5 + 16*s**4 - 5164*s**3 - 121576*s**2 - 958080*s - 2217600 = 0 for s.
-15, -14, -4, 44
Solve -h**2/6 + 1346*h/3 - 1792 = 0.
4, 2688
Factor -6*m**3 + 1239*m**2 - 1839*m - 1230.
-3*(m - 205)*(m - 2)*(2*m + 1)
Solve -4*y**5 - 227*y**4 - 363*y**3 + 1229*y**2 + 1039*y - 330 = 0 for y.
-55, -3, -1, 1/4, 2
Find t such that -2*t**3/9 - 408274*t**2/9 - 2315083694*t + 2315129058 = 0.
-102069, 1
Factor -2*n**3 - 442*n**2 + 4280*n + 32200.
-2*(n - 14)*(n + 5)*(n + 230)
Factor t**3 - 2347*t**2 - 14109*t - 21177.
(t - 2353)*(t + 3)**2
Suppose -4*p**2 + 12586312*p - 9900953110084 = 0. What is p?
1573289
Determine j so that -3*j**3 + 64350*j**2 - 345141216*j + 690025056 = 0.
2, 10724
Find p, given that -p**5 + 20*p**4 + 231*p**3 + 826*p**2 + 1252*p + 696 = 0.
-3, -2, 29
Factor m**2/3 + 1586*m.
m*(m + 4758)/3
Factor -l**4 - 4002*l**3 - 5346648*l**2 - 2395202400*l - 14179598208.
-(l + 6)*(l + 1332)**3
Factor -5*d**5 + 6215*d**4 - 18615*d**3 + 18605*d**2 - 6200*d.
-5*d*(d - 1240)*(d - 1)**3
Find m, given that 2*m**4/7 + 39*m**3/7 + 136*m**2/7 + 3*m/7 - 180/7 = 0.
-15, -4, -3/2, 1
Determine a so that 2*a**2/13 - 6814*a/13 + 524 = 0.
1, 3406
Factor 2*a**3 - 4474*a**2 + 141240*a - 264600.
2*(a - 2205)*(a - 30)*(a - 2)
Let -i**3 + 61*i**2 + 74*i - 744 = 0. Calculate i.
-4, 3, 62
Factor -3*u**4 + 439392*u**3 - 878772*u**2.
-3*u**2*(u - 146462)*(u - 2)
Suppose 3*l**4/4 - 1158*l**3 + 843939*l**2/2 + 97181532*l - 229185289377/4 = 0. Calculate l.
-319, 621
Factor -2*w**2 + 116120*w + 232248.
-2*(w - 58062)*(w + 2)
Factor -2*o**2/7 - 208*o + 23808/7.
-2*(o - 16)*(o + 744)/7
Determine f, given that -f**4 - 5853*f**3/2 - 4260175*f**2/2 + 32