9*k = 0.
-23, 0
Let 161*j**5/6 + 515*j**4/6 + 575*j**3/6 + 245*j**2/6 + 10*j/3 - 2/3 = 0. What is j?
-1, -2/7, 2/23
Suppose -18*l**5/17 - 12*l**4/17 + 58*l**3/17 - 4*l**2/17 - 40*l/17 + 16/17 = 0. Calculate l.
-2, -1, 2/3, 1
Factor -5*h**3 + 50*h**2 + 5*h - 50.
-5*(h - 10)*(h - 1)*(h + 1)
Let -a**5/5 - 84*a**4/5 + 689*a**3/5 + 4824*a**2/5 + 1684*a + 4368/5 = 0. Calculate a.
-91, -2, -1, 12
Factor 62*f**2/3 - 190*f/3 + 4.
2*(f - 3)*(31*f - 2)/3
Determine g, given that -4*g**2 + 1828*g = 0.
0, 457
Factor -p**4 - 10*p**3 - 8*p**2 + 10*p + 9.
-(p - 1)*(p + 1)**2*(p + 9)
Solve -p**4 - 28*p**3 - 74*p**2 + 28*p + 75 = 0 for p.
-25, -3, -1, 1
Solve -2*b**4 - 2*b**3 + 18*b**2 + 18*b = 0 for b.
-3, -1, 0, 3
What is r in 3*r**5/4 - 15*r**4/4 + 3*r**3/4 + 63*r**2/4 - 27*r/2 = 0?
-2, 0, 1, 3
Factor 2*b**3/15 - 2*b**2/5 + 4*b/15.
2*b*(b - 2)*(b - 1)/15
Let -2*s**3/9 - 898*s**2/3 - 301952*s/3 + 908552/9 = 0. Calculate s.
-674, 1
Factor -5*g**2 + 80*g - 75.
-5*(g - 15)*(g - 1)
Factor 4*b**3 - 140*b**2 - 308*b + 444.
4*(b - 37)*(b - 1)*(b + 3)
Factor -2*l**2/5 + 88*l/5 - 64.
-2*(l - 40)*(l - 4)/5
Find p, given that p**3/8 + 407*p**2/8 - 409*p/4 = 0.
-409, 0, 2
Factor -2*z**2 + 291*z/2 - 108.
-(z - 72)*(4*z - 3)/2
Factor -62*t**2 - 1208*t/3 + 296.
-2*(3*t - 2)*(31*t + 222)/3
Factor -27*o**2/2 - 3*o.
-3*o*(9*o + 2)/2
Solve 2*g**5 + 28*g**4 + 68*g**3 + 16*g**2 - 70*g - 44 = 0.
-11, -2, -1, 1
Factor -d**2/6 + 47*d/3 - 2209/6.
-(d - 47)**2/6
Factor -2*z**3 - 34*z**2 + 116*z - 80.
-2*(z - 2)*(z - 1)*(z + 20)
Find x, given that -x**5/3 + 517*x**4/3 - 67594*x**3/3 + 199690*x**2/3 - 198661*x/3 + 66049/3 = 0.
1, 257
Suppose -2*h**3/5 - 56*h**2/5 = 0. Calculate h.
-28, 0
Factor 7*c**4 - 9*c**3 - 145*c**2 + 357*c - 90.
(c - 3)**2*(c + 5)*(7*c - 2)
Factor -o**2/3 + 20*o.
-o*(o - 60)/3
Suppose -4*k**2 + 164*k + 344 = 0. Calculate k.
-2, 43
Suppose 5*n**2 + 315*n + 2650 = 0. What is n?
-53, -10
Factor -w**4 - 2*w**3 + 8*w**2.
-w**2*(w - 2)*(w + 4)
Factor 14*k**4 - 4*k**3 - 42*k**2 - 16*k + 8.
2*(k - 2)*(k + 1)**2*(7*k - 2)
Factor 3*h**4 + 30*h**3.
3*h**3*(h + 10)
Find g, given that 8*g**4 + 28*g**3 + 28*g**2 + 8*g = 0.
-2, -1, -1/2, 0
Factor 10*w**3 + 655*w**2/2 + 3075*w/2 - 405.
5*(w + 6)*(w + 27)*(4*w - 1)/2
Determine u, given that -121*u**3/3 - 66*u**2 + 28*u - 8/3 = 0.
-2, 2/11
Let 2*d**3/7 + 18*d**2/7 - 32*d/7 - 120/7 = 0. What is d?
-10, -2, 3
Let -h**4/4 + 149*h**3/12 + 527*h**2/12 + 53*h/4 = 0. What is h?
-3, -1/3, 0, 53
Factor 3*l**3 + 14763*l**2 + 18140016*l - 54552996.
3*(l - 3)*(l + 2462)**2
Factor -a**2 + 25*a/2 + 27/2.
-(a + 1)*(2*a - 27)/2
Factor -m**2/10 - 71*m/10 - 459/5.
-(m + 17)*(m + 54)/10
Find p, given that 42*p**2/11 - 2692*p/11 + 256/11 = 0.
2/21, 64
Determine j so that 10*j**3/7 + 2*j**2/21 - 10*j/7 - 2/21 = 0.
-1, -1/15, 1
What is v in -50*v**5 + 345*v**4 + 1095*v**3 - 1315*v**2 - 345*v + 270 = 0?
-3, -1/2, 2/5, 1, 9
Factor -j**3/2 + 11*j**2/2 + 28*j + 30.
-(j - 15)*(j + 2)**2/2
Factor 8*w**4 - 52*w**3 + 96*w**2 - 68*w + 16.
4*(w - 4)*(w - 1)**2*(2*w - 1)
Factor -2*q**2/9 - 1672*q/9 - 6656/9.
-2*(q + 4)*(q + 832)/9
Let -256*s**4 - 144*s**3 + 612*s**2 - 236*s + 24 = 0. What is s?
-2, 3/16, 1/4, 1
Suppose i**2/10 + 9*i/2 + 238/5 = 0. Calculate i.
-28, -17
Let -2*r**3 + 148*r**2 + 782*r + 632 = 0. Calculate r.
-4, -1, 79
Determine m so that 9*m**3/5 - 807*m**2/5 + 107*m - 89/5 = 0.
1/3, 89
Let -5*y**3 - 20*y**2 + 155*y + 350 = 0. Calculate y.
-7, -2, 5
Let 2*z**3 + 156*z**2 + 306*z + 152 = 0. Calculate z.
-76, -1
Find p, given that -p**5 - 11*p**4 - 42*p**3 - 70*p**2 - 53*p - 15 = 0.
-5, -3, -1
Factor 550*d**2 + 40*d + 8/11.
2*(55*d + 2)**2/11
Factor 2*n**3/15 - 362*n**2/15 - 368*n/15 + 728/15.
2*(n - 182)*(n - 1)*(n + 2)/15
Factor 4*b**3 + 2808*b**2 + 657072*b + 51251616.
4*(b + 234)**3
Factor h**2/4 - 463*h/2 - 927/4.
(h - 927)*(h + 1)/4
Solve v**3/7 - 6225*v**2/7 + 12916875*v/7 - 8934171875/7 = 0 for v.
2075
Determine u, given that 4*u**4 - 144*u**3 + 1432*u**2 - 2448*u + 1156 = 0.
1, 17
Let 3*u**2/5 + 396*u/5 - 399/5 = 0. What is u?
-133, 1
Find t, given that -3*t**2 - 9*t = 0.
-3, 0
Factor 3*o**5/2 + 8901*o**4 + 26409267*o**3/2.
3*o**3*(o + 2967)**2/2
Factor -4*r**4 - 35264*r**3 - 103617384*r**2 - 101441395424*r + 101545048076.
-4*(r - 1)*(r + 2939)**3
Determine n, given that -n**2 + 11*n = 0.
0, 11
Let 225*l**4 + 7035*l**3 + 8614*l**2 + 1924*l + 120 = 0. What is l?
-30, -1, -2/15
Factor -s**3/4 + s**2/2 + s - 2.
-(s - 2)**2*(s + 2)/4
Find p, given that p**2/10 - 2152*p/5 + 2315552/5 = 0.
2152
Factor -m**3 + 43*m**2 - 40*m - 84.
-(m - 42)*(m - 2)*(m + 1)
Factor -3*f**3 + 42*f**2 - 39*f.
-3*f*(f - 13)*(f - 1)
Determine b so that -33*b**5 - 303*b**4 - 978*b**3 - 1356*b**2 - 744*b - 96 = 0.
-4, -2, -1, -2/11
Factor 3*g**3 - 12*g**2 + 15*g - 6.
3*(g - 2)*(g - 1)**2
Solve -2*x**2/9 + 46*x/9 - 44/9 = 0 for x.
1, 22
Determine x so that -12*x**5 + 69*x**4 + 54*x**3 - 663*x**2 + 408*x + 144 = 0.
-3, -1/4, 1, 4
Suppose -3*n**5 - 21*n**4 - 30*n**3 + 6*n**2 + 33*n + 15 = 0. Calculate n.
-5, -1, 1
What is q in 27*q**4 + 11151*q**3 + 11133*q**2 + 3709*q + 412 = 0?
-412, -1/3
Determine j, given that 18*j**4 - 12156*j**3 + 2048282*j**2 + 1369576*j + 228488 = 0.
-1/3, 338
Determine d, given that d**4/3 + 3*d**3 + 10*d**2/3 - 12*d - 56/3 = 0.
-7, -2, 2
Factor -4*z**5/3 + 20*z**4/3 + 52*z**3/3 + 28*z**2/3.
-4*z**2*(z - 7)*(z + 1)**2/3
What is a in -2*a**3 - 54*a**2 + 116*a = 0?
-29, 0, 2
Let 4*z**2 + 872*z = 0. Calculate z.
-218, 0
What is i in i**4/4 - 71*i**3 + 9347*i**2/2 + 52185*i + 540225/4 = 0?
-5, 147
Factor -2*q**3/13 + 18*q**2 - 6726*q/13 - 6962/13.
-2*(q - 59)**2*(q + 1)/13
Factor -i**5/3 - 53*i**4 - 2185*i**3 - 18721*i**2/3 - 6136*i - 2028.
-(i + 1)**3*(i + 78)**2/3
Let -y**4/10 + 21*y**3/5 + 2223*y**2/10 - 2284*y/5 + 1152/5 = 0. Calculate y.
-32, 1, 72
Factor -h**5 - 15*h**4 - 75*h**3 - 145*h**2 - 120*h - 36.
-(h + 1)**3*(h + 6)**2
What is o in -2*o**4/5 + 9*o**3/5 + 116*o**2/5 - 636*o/5 + 288/5 = 0?
-8, 1/2, 6
What is k in -4*k**5 - 8*k**4 + 292*k**3 + 296*k**2 - 576*k = 0?
-9, -2, 0, 1, 8
Factor -g**3/6 + 28*g**2 + 169*g/6.
-g*(g - 169)*(g + 1)/6
Suppose -9*j**5 - 174*j**4 - 438*j**3 + 2064*j**2 - 2073*j + 630 = 0. Calculate j.
-15, -7, 2/3, 1
Solve 10*o**5 - 34*o**4 - 18*o**3 + 122*o**2 - 104*o + 24 = 0.
-2, 2/5, 1, 3
Factor 2*m**5 - 46*m**4 + 84*m**3.
2*m**3*(m - 21)*(m - 2)
Factor 4*g**2 - 5976*g + 2232036.
4*(g - 747)**2
Factor -5*a**5 - 390*a**4 - 9730*a**3 - 66420*a**2 + 273375*a - 196830.
-5*(a - 2)*(a - 1)*(a + 27)**3
Factor -20*y**3/3 + 556*y**2/3 - 312*y.
-4*y*(y - 26)*(5*y - 9)/3
Suppose -a**5 - 7023*a**4 - 16440842*a**3 - 12829330798*a**2 + 16440843*a + 12829337821 = 0. What is a?
-2341, -1, 1
What is h in 3*h**2/7 - 12*h/7 + 12/7 = 0?
2
Factor 5*u**4 - 5*u**3 - 15*u**2 + 25*u - 10.
5*(u - 1)**3*(u + 2)
Factor 2*j**4 + 62*j**3 + 580*j**2 + 2176*j + 2880.
2*(j + 4)**2*(j + 5)*(j + 18)
Factor -v**4/4 - 23*v**3/4 - 185*v**2/4 - 625*v/4 - 375/2.
-(v + 3)*(v + 5)**2*(v + 10)/4
Factor -4*g**2 - 363*g + 91.
-(g + 91)*(4*g - 1)
Factor 2*v**2/5 - 96*v/5 + 94/5.
2*(v - 47)*(v - 1)/5
Find d such that -5*d**5 - 10*d**4 + 85*d**3 - 10*d**2 - 260*d + 200 = 0.
-5, -2, 1, 2
Factor 2*m**2/7 - 100*m/7 + 1088/7.
2*(m - 34)*(m - 16)/7
What is q in q**5/6 + 4*q**4/3 - 58*q**3/3 + 32*q**2 = 0?
-16, 0, 2, 6
Suppose -3*l**2/7 + 8514*l/7 - 6040683/7 = 0. What is l?
1419
What is q in -5*q**2 - 2985*q - 2980 = 0?
-596, -1
Let 2*t**5 + 14*t**4 - 6*t**3 - 38*t**2 + 28*t = 0. Calculate t.
-7, -2, 0, 1
Suppose 2*i**3/5 + 26*i**2 + 708*i/5 = 0. What is i?
-59, -6, 0
Factor -t**5/5 - 13*t**4 + 133*t**3/5 - 67*t**2/5.
-t**2*(t - 1)**2*(t + 67)/5
Factor 20*m**2 + 20485*m + 5120.
5*(m + 1024)*(4*m + 1)
What is d in -525*d**5/4 + 1845*d**4/4 - 456*d**3 + 102*d**2 + 36*d - 12 = 0?
-2/7, 2/5, 1, 2
Factor -q**3 - 43*q**2 - 320*q - 476.
-(q + 2)*(q + 7)*(q + 34)
Solve -p**2 + 99*p/2 - 49/2 = 0.
1/2, 49
Factor u**4 + 6*u**3.
u**3*(u + 6)
Factor 5*i**4 - 45*i**3 + 540*i.
5*i*(i - 6)**2*(i + 3)
Factor -4*v**5/5 - 604*v**4/5 - 21868*v**3/5 + 71148*v**2/5.
-4*v**2*(v - 3)*(v + 77)**2/5
Let 5*r**5/4 - 25*r**4/4 - 225*r**3/4 + 1225*r**2/4 - 245*r = 0. Calculate r.
-7, 0, 1, 4, 7
Let -2*m**5/15 + 2*m**4/5 + 122*m**3/15 - 114*m**2/5 - 432*m/5 + 504/5 = 0. Calculate m.
-7, -3, 1, 6
Fac