 + 3)*(a + 41)
Factor 5*x**4 - 25*x**3 - 30*x**2 + 160*x + 160.
5*(x - 4)**2*(x + 1)*(x + 2)
Factor -7*m**2/6 + 4360*m/3 + 1246/3.
-(m - 1246)*(7*m + 2)/6
Factor -2*t**4/3 - 10*t**3/3.
-2*t**3*(t + 5)/3
Find k such that -529*k**4/2 - 92*k**3 - 8*k**2 = 0.
-4/23, 0
Solve 9*b**2 + 22080*b + 7359 = 0.
-2453, -1/3
Factor c**3 + 65*c**2 - 133*c + 67.
(c - 1)**2*(c + 67)
Suppose d**2 - 22*d = 0. Calculate d.
0, 22
Let 4*f**4/9 - 40*f**3/9 - 12*f**2 + 1216*f/9 + 1280/9 = 0. Calculate f.
-5, -1, 8
Find r such that 5*r**2 - 30*r - 35 = 0.
-1, 7
Find l such that -2*l**4/11 - 274*l**3/11 + 554*l**2/11 - 278*l/11 = 0.
-139, 0, 1
Factor -2*m**3/5 - 16*m**2/5 - 24*m/5.
-2*m*(m + 2)*(m + 6)/5
Factor r**2/3 + 1606*r + 1934427.
(r + 2409)**2/3
Suppose z**4 + 10*z**3 + 23*z**2 - 10*z - 24 = 0. Calculate z.
-6, -4, -1, 1
Factor -u**2 + 1423*u - 1422.
-(u - 1422)*(u - 1)
Let 2*s**3/9 - 160*s**2/9 + 34*s + 52 = 0. Calculate s.
-1, 3, 78
Factor -4*p**3/5 + 18*p**2/5 + 34*p/5 + 12/5.
-2*(p - 6)*(p + 1)*(2*p + 1)/5
Factor -i**2 - 16*i + 36.
-(i - 2)*(i + 18)
Find m, given that -16*m**4/5 - 8*m**3 - 33*m**2/5 - 2*m - 1/5 = 0.
-1, -1/4
Factor -l**3/4 - 23*l**2/4 - 20*l - 19.
-(l + 2)**2*(l + 19)/4
Find a, given that 2*a**3 - 2*a**2 - 32*a - 40 = 0.
-2, 5
Factor 12*d**3 + 124*d**2 - 248*d - 96.
4*(d - 2)*(d + 12)*(3*d + 1)
Suppose 51*d**2 - 198*d - 24 = 0. What is d?
-2/17, 4
What is u in -16*u**4/3 + 708*u**3 - 71282*u**2/3 + 17512*u - 2904 = 0?
1/4, 1/2, 66
Factor 4*h**3 + 212*h**2 + 408*h.
4*h*(h + 2)*(h + 51)
Factor 3*q**3 + 48*q**2 + 219*q + 270.
3*(q + 2)*(q + 5)*(q + 9)
Factor -2*y**2/3 - 5396*y/3 - 3639602/3.
-2*(y + 1349)**2/3
Suppose 4*i**2/3 - 5920*i/3 + 2190400/3 = 0. What is i?
740
Factor l**2/7 - 410*l/7 + 42025/7.
(l - 205)**2/7
Solve -2*p**3/7 + 22*p**2/7 - 30*p/7 - 54/7 = 0 for p.
-1, 3, 9
Factor q**2/10 + 476*q/5 + 951/10.
(q + 1)*(q + 951)/10
Let r**2/2 - 282*r - 565/2 = 0. Calculate r.
-1, 565
Solve n**5/4 + n**4/4 - 15*n**3/4 - 5*n**2/4 + 17*n/2 + 6 = 0.
-4, -1, 2, 3
Factor -2*v**2 - 212*v - 5618.
-2*(v + 53)**2
Find c, given that -2*c**5/5 - 22*c**4 - 306*c**3/5 + 326*c**2/5 + 716*c/5 - 624/5 = 0.
-52, -3, -2, 1
Solve -5*m**2 - 12280*m + 12285 = 0.
-2457, 1
Factor -d**3 - 84*d**2 - 1584*d + 7744.
-(d - 4)*(d + 44)**2
Solve -2*w**3/11 + 32*w**2/11 - 104*w/11 + 96/11 = 0.
2, 12
Suppose -6*x**2 - 70*x - 64 = 0. Calculate x.
-32/3, -1
Let 171*z**3 - 686*z**2 + 692*z - 8 = 0. What is z?
2/171, 2
Factor -12*x**5/19 - 10*x**4/19 + 2*x**3/19.
-2*x**3*(x + 1)*(6*x - 1)/19
Let 5*i**5 + 10*i**4 - 90*i**3 + 160*i**2 - 115*i + 30 = 0. Calculate i.
-6, 1
Factor m**3/9 + 1178*m**2/9 + 345740*m/9 - 696200/9.
(m - 2)*(m + 590)**2/9
Factor -3*s**3 - 294*s**2 - 1683*s - 2484.
-3*(s + 3)**2*(s + 92)
Solve -2*s**5/7 + 2*s**4 - 8*s**3/7 - 24*s**2/7 = 0.
-1, 0, 2, 6
Factor 2*i**5/9 + 80*i**4/3 + 940*i**3/9 + 1400*i**2/9 + 310*i/3 + 232/9.
2*(i + 1)**4*(i + 116)/9
Let -g**2/7 + 1254*g/7 - 2504/7 = 0. Calculate g.
2, 1252
Factor -q**2/3 - 5*q/3 + 14/3.
-(q - 2)*(q + 7)/3
Factor -4*a**5 - 60*a**4 + 132*a**3 - 68*a**2.
-4*a**2*(a - 1)**2*(a + 17)
Factor -x**4 - 3*x**3 + 3*x**2 + 11*x + 6.
-(x - 2)*(x + 1)**2*(x + 3)
Let 5*y**5 - 25*y**4 - 90*y**3 + 220*y**2 + 760*y + 480 = 0. What is y?
-2, -1, 4, 6
Determine g so that 3*g**2 - 30*g + 48 = 0.
2, 8
Determine h so that 2*h**2/9 - 44*h/3 - 558 = 0.
-27, 93
Factor 5*x**4 - 50*x**3 + 145*x**2 - 100*x.
5*x*(x - 5)*(x - 4)*(x - 1)
Factor 2*i**3 - 64*i**2 - 822*i - 756.
2*(i - 42)*(i + 1)*(i + 9)
Find b such that 7*b**4/2 - 15*b**3/2 - 3*b**2 + 8*b = 0.
-1, 0, 8/7, 2
Factor -4*q**3/5 + 36*q**2/5 - 12*q - 20.
-4*(q - 5)**2*(q + 1)/5
Factor -b**3/11 - 38*b**2/11 - 140*b/11 - 136/11.
-(b + 2)**2*(b + 34)/11
Let -3*w**2 - 180*w = 0. What is w?
-60, 0
Let 39*l**4 + 14541*l**3 + 1346967*l**2 - 1571361*l + 209814 = 0. Calculate l.
-187, 2/13, 1
Factor 2*b**3/3 - 2*b**2 - 44*b/3 + 16.
2*(b - 6)*(b - 1)*(b + 4)/3
Find g, given that -g**2 + 197*g - 772 = 0.
4, 193
Let p**5/2 - p**4/2 - 9*p**3/2 + 5*p**2/2 + 8*p - 6 = 0. Calculate p.
-2, 1, 3
Solve 2*o**4/11 - 498*o**3/11 + 31734*o**2/11 - 90774*o/11 = 0.
0, 3, 123
Find j, given that -15*j**4/8 - 21*j**3/2 + 171*j**2/8 + 39*j/2 - 21/2 = 0.
-7, -1, 2/5, 2
Let -3*m**3/2 - 105*m**2/2 + 57*m + 108 = 0. Calculate m.
-36, -1, 2
Let 4*h**2 - 332*h = 0. What is h?
0, 83
Determine a, given that -15*a**4 - 507*a**3 - 4233*a**2 + 867*a = 0.
-17, 0, 1/5
Factor 2*k**2/25 - 86*k/25.
2*k*(k - 43)/25
Determine w, given that 2*w**4 + 194*w**3 + 4404*w**2 - 14600*w + 10000 = 0.
-50, 1, 2
Let 2*w**4/13 + 80*w**3/13 + 1038*w**2/13 + 3976*w/13 - 392 = 0. What is w?
-14, -13, 1
Suppose 3*z**5/4 + 9*z**4/2 + 27*z**3/4 + 3*z**2 = 0. What is z?
-4, -1, 0
Solve 5*l**4 - 50*l**3 + 140*l**2 - 120*l = 0.
0, 2, 6
Factor -2*j**5 - 24*j**4 + 84*j**3 - 88*j**2 + 30*j.
-2*j*(j - 1)**3*(j + 15)
Solve -2*c**3/11 - 318*c**2/11 + 1632*c/11 - 1312/11 = 0.
-164, 1, 4
Determine a, given that a**4/3 - 131*a**3/3 + 2139*a**2 - 139345*a/3 + 1132058/3 = 0.
31, 38
Factor 5*k**2 - 1570*k + 6200.
5*(k - 310)*(k - 4)
Solve 3*a**4 + 3*a**3 - 51*a**2 + 45*a = 0.
-5, 0, 1, 3
Factor -49*c**3 - 35693*c**2 + 20408*c - 2916.
-(c + 729)*(7*c - 2)**2
Suppose -3*z**4 - 12*z**3 - 9*z**2 + 12*z + 12 = 0. What is z?
-2, -1, 1
Factor -7*x**2/8 + 9*x/8 - 1/4.
-(x - 1)*(7*x - 2)/8
Suppose -8*w**4/17 + 358*w**3/17 + 90*w**2/17 = 0. Calculate w.
-1/4, 0, 45
Factor -x**2/6 - 3*x/2 + 5/3.
-(x - 1)*(x + 10)/6
Factor -4*q**2/5 + 6104*q/5 - 2328676/5.
-4*(q - 763)**2/5
Factor 2*i**2 + 792*i.
2*i*(i + 396)
Factor o**3/6 + o**2/6 - 10*o/3.
o*(o - 4)*(o + 5)/6
Suppose 905*o**2 + 2720*o + 15 = 0. Calculate o.
-3, -1/181
Suppose -4*s**2/5 + 1688*s/5 = 0. What is s?
0, 422
Factor 3*p**3 - 51*p**2 + 240*p - 192.
3*(p - 8)**2*(p - 1)
Determine d so that d**4 - 4*d**2 = 0.
-2, 0, 2
Factor -2*j**2 + 6944*j.
-2*j*(j - 3472)
Factor o**5 - 27*o**4 + 118*o**3 - 180*o**2 + 88*o.
o*(o - 22)*(o - 2)**2*(o - 1)
Let 4*a**4/7 + 16*a**3/7 + 12*a**2/7 - 16*a/7 - 16/7 = 0. Calculate a.
-2, -1, 1
Find r such that 5*r**2/6 + 655*r/3 + 85805/6 = 0.
-131
Solve 5*o**3 + 55*o**2 - 1725*o - 21375 = 0.
-15, 19
Determine f so that -3*f**4 + 474*f**3 - 939*f**2 + 468*f = 0.
0, 1, 156
Find u such that 2*u**2 - 8*u - 10 = 0.
-1, 5
Factor 4*t**2 - 11584*t + 8386816.
4*(t - 1448)**2
Factor 2*f**5/5 - 16*f**4/5 + 44*f**3/5 - 56*f**2/5 + 34*f/5 - 8/5.
2*(f - 4)*(f - 1)**4/5
Factor v**2/5 - 51*v/5 + 46.
(v - 46)*(v - 5)/5
Let -15*r**3 + 294*r**2 - 420*r - 216 = 0. Calculate r.
-2/5, 2, 18
Factor -2*f**2 + 376*f - 3560.
-2*(f - 178)*(f - 10)
Factor 2*u**2/7 + 20*u/7 - 78/7.
2*(u - 3)*(u + 13)/7
Factor -2*f**3/9 - 40*f**2/9 + 86*f/9 - 44/9.
-2*(f - 1)**2*(f + 22)/9
Find u, given that 2*u**4/7 + 104*u**3/7 + 1032*u**2/7 + 2880*u/7 = 0.
-40, -6, 0
Solve i**2/10 + 14*i/5 + 98/5 = 0.
-14
Factor -4*c**3/5 - 596*c**2/5 - 23068*c/5 - 63948/5.
-4*(c + 3)*(c + 73)**2/5
Solve 2*g**3/5 - 126*g**2/5 - 258*g/5 - 26 = 0.
-1, 65
Determine p so that -63*p**2 - 192*p - 9 = 0.
-3, -1/21
What is a in 21*a**3/2 - 159*a**2/4 - 123*a/2 - 45/4 = 0?
-1, -3/14, 5
Suppose -20*x**5/11 - 58*x**4/11 + 266*x**3/11 + 274*x**2/11 - 30*x/11 = 0. Calculate x.
-5, -1, 0, 1/10, 3
Solve 2*a**5/7 + 4*a**4/7 - 2*a**3/7 - 4*a**2/7 = 0.
-2, -1, 0, 1
Factor 3*c**2/2 - 11952*c + 23808384.
3*(c - 3984)**2/2
Factor -3*q**3 - 21*q**2 - 12*q + 36.
-3*(q - 1)*(q + 2)*(q + 6)
Find c such that 4*c**2 - 7104*c + 7100 = 0.
1, 1775
Suppose -4*j**4 + 488*j**3 - 14880*j**2 - 488*j + 14884 = 0. Calculate j.
-1, 1, 61
Factor -5*d**4 - 9445*d**3 - 28305*d**2 - 28295*d - 9430.
-5*(d + 1)**3*(d + 1886)
Factor 2*f**4/3 - 4*f**3 + 10*f**2/3.
2*f**2*(f - 5)*(f - 1)/3
Solve 2*a**4/3 + 98*a**3/3 - 2*a**2 - 290*a/3 + 196/3 = 0 for a.
-49, -2, 1
Let -4*b**2 - 152*b - 1444 = 0. What is b?
-19
Find g, given that g**2/2 + 14*g + 98 = 0.
-14
What is o in o**5 + 7*o**4/5 + 2*o**3/5 = 0?
-1, -2/5, 0
Factor -4*w**2/7 + 356*w/7 + 360/7.
-4*(w - 90)*(w + 1)/7
Suppose -2*f**4/5 - 16*f**3/5 - 22*f**2/5 + 64*f/5 + 24 = 0. Calculate f.
-5, -3, -2, 2
Factor -2*g**3/5 - 4*g**2 - 24*g/5 + 144/5.
-2*(g - 2)*(g + 6)**2/5
Suppose -r**2/2 - 26*r + 53/2 = 0. Calculate r.
-53, 1
What is h in -2*h**3/9 - 46*h**2/9 + 52*h/9 + 32/3 = 0?
-24, -1, 2
Determine n, given that 2*n**2/15 + 320*n/3