3 + 16*g**2 + 152*g + 224 = 0?
-4, -2, 14
Factor -5*r**2 + 6470*r - 2093045.
-5*(r - 647)**2
Factor m**5/7 - 92*m**4/7 + 13*m**3.
m**3*(m - 91)*(m - 1)/7
Solve 2*a**5 - 18*a**4 - 130*a**3 + 1458*a**2 - 2464*a + 1152 = 0.
-9, 1, 8
Factor 4*c**2/5 - 48*c/5 + 16.
4*(c - 10)*(c - 2)/5
Factor -2*v**2/3 + 848*v/9 + 568/9.
-2*(v - 142)*(3*v + 2)/9
Solve -1024*t**5 - 128*t**4 - 4*t**3 = 0 for t.
-1/16, 0
Find j such that -2*j**2/3 + 2696*j/3 + 1800 = 0.
-2, 1350
Find h, given that -4*h**4 + 1584*h**3 - 3152*h**2 = 0.
0, 2, 394
Factor -2*z**2/9 + 338*z/9 - 112/3.
-2*(z - 168)*(z - 1)/9
Factor -5*l**3 + 980*l**2 + 1980*l.
-5*l*(l - 198)*(l + 2)
Factor 5*f**5 - 55*f**4 + 95*f**3 - 45*f**2.
5*f**2*(f - 9)*(f - 1)**2
Factor 3*x**4 + 6*x**3 - 108*x**2 - 216*x.
3*x*(x - 6)*(x + 2)*(x + 6)
Suppose 3*j**2/4 + 2991*j/4 + 2985/2 = 0. What is j?
-995, -2
Factor h**5 - 56*h**4 + 300*h**3 + 32*h**2 - 1600*h.
h*(h - 50)*(h - 4)**2*(h + 2)
Factor 4*h**2/9 - 40*h/9.
4*h*(h - 10)/9
Suppose 2*o**4/3 + 40*o**3/3 + 104*o**2/3 - 320*o + 384 = 0. What is o?
-12, 2
Factor 4*w**3/3 + 988*w**2/9 + 1300*w/9 + 36.
4*(w + 1)*(w + 81)*(3*w + 1)/9
Suppose m**5 - 14*m**4 + 52*m**3 - 66*m**2 + 27*m = 0. What is m?
0, 1, 3, 9
Solve 2*b**3/9 - 152*b**2 + 25992*b = 0.
0, 342
Suppose -2*t**4 - 46*t**3 + 98*t**2 - 50*t = 0. Calculate t.
-25, 0, 1
What is h in -h**2/2 + 639*h - 408321/2 = 0?
639
Suppose -v**4/7 - 5*v**3 - 249*v**2/7 - 365*v/7 + 650/7 = 0. What is v?
-26, -5, 1
Solve -3*l**4/5 + 6*l**3/5 + 27*l**2/5 - 6*l/5 - 24/5 = 0 for l.
-2, -1, 1, 4
Factor -y**3/2 + 81*y**2/2 - 2187*y/2 + 19683/2.
-(y - 27)**3/2
Suppose -2*c**3 - 34*c**2 - 112*c - 104 = 0. Calculate c.
-13, -2
Factor b**2 + 235*b + 466.
(b + 2)*(b + 233)
Solve -4*j**2 - 4*j + 24 = 0.
-3, 2
Factor 3*x**4 - 54*x**3 + 183*x**2 - 216*x + 84.
3*(x - 14)*(x - 2)*(x - 1)**2
Find j such that -18*j**3 - 219*j**2 - 684*j - 108 = 0.
-6, -1/6
Factor 2*b**3/3 + 64*b**2/3 - 142*b/3 - 68.
2*(b - 3)*(b + 1)*(b + 34)/3
Suppose -12*b**5 + 4*b**4 + 80*b**3 - 128*b - 64 = 0. Calculate b.
-2, -1, -2/3, 2
Factor q**5/6 + 35*q**4/6 - 191*q**3/6 + 353*q**2/6 - 139*q/3 + 40/3.
(q - 2)*(q - 1)**3*(q + 40)/6
Factor 2*v**5/9 + 64*v**4/9 - 92*v**3/3 + 424*v**2/9 - 286*v/9 + 8.
2*(v - 1)**4*(v + 36)/9
Let -5*n**2 + 120*n + 260 = 0. Calculate n.
-2, 26
Let -x**3 + 134*x**2 - 4489*x = 0. What is x?
0, 67
Factor -3*l**3/10 + l**2/10 + 3*l/10 - 1/10.
-(l - 1)*(l + 1)*(3*l - 1)/10
Solve -x**3/6 - 120*x**2 - 28800*x - 2304000 = 0.
-240
Determine i, given that -74*i**5/5 - 152*i**4/5 - 82*i**3/5 - 4*i**2/5 = 0.
-1, -2/37, 0
Determine r so that -2*r**4/3 - 26*r**3 - 118*r**2 - 482*r/3 - 68 = 0.
-34, -3, -1
Factor 4*i**2 - 64*i + 60.
4*(i - 15)*(i - 1)
Factor 2*k**4 - 16*k**3 + 10*k**2 + 100*k.
2*k*(k - 5)**2*(k + 2)
Factor -3*d**4 - 9*d**3 + 9*d**2 + 33*d + 18.
-3*(d - 2)*(d + 1)**2*(d + 3)
Factor 5*q**2 - 9620*q + 9615.
5*(q - 1923)*(q - 1)
Factor 5*o**2 - 920*o + 42320.
5*(o - 92)**2
Suppose 5*u**2/4 - 1055*u/4 + 1045/2 = 0. What is u?
2, 209
Suppose 2*h**5/9 + 40*h**4/9 - 44*h**3/9 - 40*h**2/9 + 14*h/3 = 0. What is h?
-21, -1, 0, 1
Solve v**2 - 45*v = 0 for v.
0, 45
Factor 4*v**3/5 - 908*v**2/5 + 3568*v/5.
4*v*(v - 223)*(v - 4)/5
Factor 5*y**3/2 + 95*y**2 + 640*y + 1200.
5*(y + 4)**2*(y + 30)/2
Determine o, given that 4*o**3 - 328*o**2 + 644*o - 320 = 0.
1, 80
Factor -2*u**3 - 84*u**2 - 1170*u - 5400.
-2*(u + 12)*(u + 15)**2
Factor -2*i**2 + 5628*i - 3959298.
-2*(i - 1407)**2
Let s**4/11 - s**3/11 - 23*s**2/11 - 39*s/11 - 18/11 = 0. Calculate s.
-3, -1, 6
Let 338*u**2 + 52*u + 2 = 0. What is u?
-1/13
Find i, given that 2*i**5/11 + 2*i**4 + 68*i**3/11 + 92*i**2/11 + 58*i/11 + 14/11 = 0.
-7, -1
Factor -2*b**2/9 - 56*b/9.
-2*b*(b + 28)/9
Solve -3*r**2 - 87*r - 162 = 0 for r.
-27, -2
Suppose h**5 - 23*h**4 + 90*h**3 + 418*h**2 + 469*h + 165 = 0. What is h?
-1, 11, 15
Factor -7*v**2 + 1003*v - 286.
-(v - 143)*(7*v - 2)
Factor 3*v**3 - 318*v**2 - 981*v.
3*v*(v - 109)*(v + 3)
Let 4*i**3 + 32*i**2 + 48*i = 0. Calculate i.
-6, -2, 0
Factor a**2 + 35*a - 114.
(a - 3)*(a + 38)
Determine c, given that c**2 - 10*c - 171 = 0.
-9, 19
What is w in -w**3/3 + 4*w**2/3 + 17*w - 18 = 0?
-6, 1, 9
Factor i**2/9 - 211*i/3.
i*(i - 633)/9
Factor i**2 - 33*i.
i*(i - 33)
What is t in 4*t**2 + 528*t + 7020 = 0?
-117, -15
Factor 2*p**2/13 + 4*p/13.
2*p*(p + 2)/13
Suppose l**3 + 194*l**2 - 589*l + 394 = 0. Calculate l.
-197, 1, 2
Factor -15*x**4 - 81*x**3 - 90*x**2 - 24*x.
-3*x*(x + 1)*(x + 4)*(5*x + 2)
Let b**5/4 + 11*b**4/2 + 121*b**3/4 + 63*b**2 + 45*b = 0. What is b?
-15, -3, -2, 0
Solve -5*b**4/4 - 11*b**3 - 63*b**2/2 - 27*b + 27/4 = 0 for b.
-3, 1/5
Solve -10*d**4 - 25*d**3 + 15*d**2 + 40*d - 20 = 0.
-2, 1/2, 1
Factor 2*a**2 + 24*a - 26.
2*(a - 1)*(a + 13)
Solve 5*r**3 - 45*r = 0 for r.
-3, 0, 3
Factor 3*y**2 - 3498*y + 1019667.
3*(y - 583)**2
Suppose 4*w**4 + 32*w**3 + 60*w**2 = 0. What is w?
-5, -3, 0
Find m such that 2*m**2 + 148*m + 1386 = 0.
-63, -11
Suppose 2*w**4/3 - 14*w**3/3 - 6*w**2 + 14*w/3 + 16/3 = 0. Calculate w.
-1, 1, 8
Let 45*n**4 - 1320*n**3 - 3775*n**2 - 2070*n - 320 = 0. What is n?
-2, -1/3, 32
Factor 5*z**3/4 - 15*z**2/2 - 45*z - 50.
5*(z - 10)*(z + 2)**2/4
Factor y**3/4 - 45*y**2/4 + 11*y.
y*(y - 44)*(y - 1)/4
Let -z**4/2 + 131*z**3/2 - 4603*z**2/2 + 20349*z/2 - 7938 = 0. What is z?
1, 4, 63
Factor 2*v**2 + 676*v + 57122.
2*(v + 169)**2
Determine r, given that 2*r**2/7 - 12*r/7 - 54/7 = 0.
-3, 9
Find b, given that 5*b**5 - 285*b**4 + 3600*b**3 + 13500*b**2 = 0.
-3, 0, 30
Let -c**2/2 - c/2 = 0. What is c?
-1, 0
Factor -5*n**5/4 + 65*n**4/4 + 155*n**3/2 + 245*n**2/2 + 335*n/4 + 85/4.
-5*(n - 17)*(n + 1)**4/4
Factor -m**3 + 9654*m**2 - 23299929*m.
-m*(m - 4827)**2
Factor 4*n**2 + 36*n + 56.
4*(n + 2)*(n + 7)
Find g, given that -g**3/3 + 43*g**2/3 - 52*g = 0.
0, 4, 39
Suppose -2*l**3/11 - 30*l**2/11 - 52*l/11 = 0. Calculate l.
-13, -2, 0
Suppose -2*n**5 - 6*n**4 = 0. Calculate n.
-3, 0
Factor p**4 + 2*p**3 - 8*p**2.
p**2*(p - 2)*(p + 4)
What is v in -v**5/4 - 2*v**4 + 5*v**3 - v**2/2 - 19*v/4 + 5/2 = 0?
-10, -1, 1
Determine a, given that a**5/2 - a**4/2 - 33*a**3/2 - 63*a**2/2 = 0.
-3, 0, 7
Factor 4*x**4 + 1408*x**3 + 123904*x**2.
4*x**2*(x + 176)**2
Suppose 3*j**5/4 - 117*j**4/4 - 555*j**3/2 - 483*j**2/2 + 5715*j/4 - 3525/4 = 0. What is j?
-5, 1, 47
Solve -2*f**2 - 2136*f + 4280 = 0 for f.
-1070, 2
Factor 2*p**2 - 6344*p - 6346.
2*(p - 3173)*(p + 1)
Factor -2*h**2/15 - 2992*h/15 - 1119008/15.
-2*(h + 748)**2/15
Factor -2*b**3/23 - 14*b**2 - 12000*b/23 - 130176/23.
-2*(b + 24)**2*(b + 113)/23
Find c, given that 90*c**3/7 - 324*c**2/7 - 256*c/7 = 0.
-2/3, 0, 64/15
Determine j, given that -2*j**2/3 + 68*j + 416/3 = 0.
-2, 104
Determine m, given that -18*m**4/7 + 274*m**3/7 - 1122*m**2/7 + 1046*m/7 - 180/7 = 0.
2/9, 1, 5, 9
Solve 2*z**4/7 + 10*z**3/7 - 34*z**2/7 - 6*z = 0.
-7, -1, 0, 3
Determine j so that -j**5/4 - 3*j**4 - 11*j**3/4 = 0.
-11, -1, 0
Suppose 2*j**3/7 - 30*j**2/7 - 104*j/7 - 72/7 = 0. Calculate j.
-2, -1, 18
Factor 119*i**2/9 - 353*i/9 - 4/3.
(i - 3)*(119*i + 4)/9
What is t in -t**2 - 618*t - 95481 = 0?
-309
Factor 115*v**3 + 255*v**2 + 50*v.
5*v*(v + 2)*(23*v + 5)
Let -4*n**4 - 280*n**3 - 4900*n**2 = 0. Calculate n.
-35, 0
Factor j**2/2 - 25*j/2.
j*(j - 25)/2
Determine z so that 3*z**3/5 + 54*z**2/5 - 252*z/5 + 264/5 = 0.
-22, 2
Factor n**3 + 81*n**2 + 80*n.
n*(n + 1)*(n + 80)
Suppose -3*q**5 - 12*q**4 + 111*q**3 + 120*q**2 = 0. Calculate q.
-8, -1, 0, 5
What is g in -165*g**4 - 1491*g**3 - 4509*g**2 - 4617*g - 162 = 0?
-3, -2/55
Solve -2*l**3/15 + 38*l**2/15 + 232*l/15 + 64/5 = 0 for l.
-4, -1, 24
Factor x**2/5 - 228*x/5 - 693/5.
(x - 231)*(x + 3)/5
Factor 2116*p**2 - 3312*p + 1296.
4*(23*p - 18)**2
Solve 5*g**5 - 125*g**4 - 1100*g**3 - 700*g**2 + 1920*g = 0 for g.
-6, -2, 0, 1, 32
Factor g**2/5 + 79*g/5 + 154/5.
(g + 2)*(g + 77)/5
Factor 3*p**4 - 51*p**3 + 240*p**2 - 192*p.
3*p*(p - 8)**2*(p - 1)
Factor -3*r**2/7 + 249*r/7 + 36.
-3*(r - 84)*(r + 1)/7
Let u**2/2 - 26*u + 338 = 0. What is u?
26
Factor 2*q**2 + 4*q - 16.
2*(q - 2)*(q + 4)
Suppose -y**2 + 15*y - 56 = 0. Calculate y.
7, 8
Factor 2*y**4 + 168*y**3 - 172*y**2 - 168*y + 170.
2*(y - 1)**2*(y + 1)*(y + 85)
Suppose 4*m**5 + 33*m**4 + 80*m**3 + 82*m**2 + 36*m + 5 = 0. What is m?
-5, -1