
Factor -4*v**2 + 168*v + 172.
-4*(v - 43)*(v + 1)
Factor 3*q**3/4 + 2373*q**2/2 + 470445*q + 936150.
3*(q + 2)*(q + 790)**2/4
Factor -d**2 - 251*d - 988.
-(d + 4)*(d + 247)
Factor 5*o**4 - 75*o**3 + 345*o**2 - 485*o + 210.
5*(o - 7)*(o - 6)*(o - 1)**2
Determine i so that 2*i**4 - 8*i**3 - 38*i**2 - 28*i = 0.
-2, -1, 0, 7
Let 6*s**4/7 + 18*s**3/7 - 84*s**2 + 2304*s/7 - 2496/7 = 0. What is s?
-13, 2, 4
Factor -o**2 - 181*o + 182.
-(o - 1)*(o + 182)
Factor -n**5/6 + 1835*n**4/3 - 2693780*n**3/3 + 1977234520*n**2/3 - 725645068840*n/3 + 106524696105712/3.
-(n - 734)**5/6
Find a such that -25*a**2 - 6340*a - 3795 = 0.
-253, -3/5
Factor d**4 - 4*d**3 + d**2 + 6*d.
d*(d - 3)*(d - 2)*(d + 1)
Factor -f**4/4 + 11*f**3/4 - 7*f**2.
-f**2*(f - 7)*(f - 4)/4
Let -5*p**5 + 65*p**4 + 150*p**3 + 10*p**2 - 145*p - 75 = 0. Calculate p.
-1, 1, 15
Solve -2*o**5/19 - 32*o**4/19 + 6*o**3 - 8*o**2/19 - 8*o = 0.
-19, -1, 0, 2
Solve 4*z**4 + 236*z**3 + 3808*z**2 + 9408*z = 0.
-28, -3, 0
Factor z**5/5 - 42*z**4/5 + 349*z**3/5 + 1932*z**2/5 + 2116*z/5.
z*(z - 23)**2*(z + 2)**2/5
Factor 4*a**5 - 4*a**4 - 8*a**3 + 8*a**2 + 4*a - 4.
4*(a - 1)**3*(a + 1)**2
Let -4*z**5 - 12*z**4 + 64*z**3 - 48*z**2 = 0. What is z?
-6, 0, 1, 2
Factor -3*f**5 - 45*f**4 - 198*f**3 - 354*f**2 - 279*f - 81.
-3*(f + 1)**3*(f + 3)*(f + 9)
Factor a**3/3 + 2047*a**2 + 4190209*a + 8577357823/3.
(a + 2047)**3/3
What is q in 2*q**5 - 2*q**4 - 14*q**3 + 2*q**2 + 12*q = 0?
-2, -1, 0, 1, 3
What is a in -36*a**3 + 48*a**2 - 15*a = 0?
0, 1/2, 5/6
Suppose 2*x**3 - 28*x**2 + 26*x = 0. Calculate x.
0, 1, 13
Suppose 2*g**3 + 72*g**2 + 570*g - 1444 = 0. What is g?
-19, 2
Factor -t**5/9 + 5*t**4/3 - 26*t**3/9 - 2*t**2/9 + 3*t - 13/9.
-(t - 13)*(t - 1)**3*(t + 1)/9
Factor -3*v**2 + 129*v - 126.
-3*(v - 42)*(v - 1)
Solve -2*u**4 + 16*u**3 + 66*u**2 + 8*u - 88 = 0.
-2, 1, 11
Factor 3*y**2/2 + 1149*y.
3*y*(y + 766)/2
Factor -6*n**2/5 + 98*n/5 + 68/5.
-2*(n - 17)*(3*n + 2)/5
Let 5*x**2 + 705*x + 700 = 0. Calculate x.
-140, -1
Suppose 3*o**2/2 + 15*o/2 - 36 = 0. What is o?
-8, 3
Factor -4*d**3/3 + 136*d**2/3 + 16*d/3 - 544/3.
-4*(d - 34)*(d - 2)*(d + 2)/3
Factor q**4 + 12*q**3 - 31*q**2 - 42*q.
q*(q - 3)*(q + 1)*(q + 14)
Solve -45*s**4 - 325*s**3 - 385*s**2 + 605*s + 150 = 0.
-5, -3, -2/9, 1
Find n such that -n**5/3 + 139*n**4/3 - 6346*n**3/3 + 90710*n**2/3 + 201019*n/3 + 103823/3 = 0.
-1, 47
Suppose -w**5 - 71*w**4 - 69*w**3 + 71*w**2 + 70*w = 0. Calculate w.
-70, -1, 0, 1
Determine v, given that 3*v**2/4 + 435*v/2 + 63075/4 = 0.
-145
Factor 2*y**4/5 + 2*y**3/5.
2*y**3*(y + 1)/5
Suppose -f**3/4 - 19*f**2 + 77*f/4 = 0. What is f?
-77, 0, 1
Factor -3*f**3/5 + 5274*f**2/5.
-3*f**2*(f - 1758)/5
Let 2*i**4/11 - 26*i**3/11 - 38*i**2/11 + 434*i/11 + 780/11 = 0. Calculate i.
-3, -2, 5, 13
Determine p, given that 3*p**5 + 33*p**4 - 333*p**3 + 783*p**2 - 486*p = 0.
-18, 0, 1, 3
Factor -5*x**2 - 420*x - 8820.
-5*(x + 42)**2
Suppose -4*q**4 + 12*q**3 + 12*q**2 - 28*q - 24 = 0. What is q?
-1, 2, 3
Find h such that 8*h**4 - 98*h**3 + 24*h**2 = 0.
0, 1/4, 12
Solve o**5/5 - o**4/5 - 2*o**3/5 + 2*o**2/5 + o/5 - 1/5 = 0 for o.
-1, 1
Factor y**2/4 - 497*y/4.
y*(y - 497)/4
Factor -3*s**2/2 + 2517*s/2 + 5058.
-3*(s - 843)*(s + 4)/2
Suppose -3*d**4/7 + 39*d**3/7 + 45*d**2/7 - 39*d/7 - 6 = 0. What is d?
-1, 1, 14
Determine b so that -2*b**4 - 8*b**3 - 8*b**2 = 0.
-2, 0
Determine a, given that -4*a**2 - 1264*a - 99856 = 0.
-158
Solve a**2/9 - 308*a/9 + 23716/9 = 0 for a.
154
Solve 12*p**5 - 645*p**4 - 870*p**3 + 2415*p**2 + 3288*p + 660 = 0.
-2, -1, -1/4, 2, 55
Factor 4*a**2 - 52*a + 48.
4*(a - 12)*(a - 1)
Suppose -d**4/2 + 3*d**3 + d**2/2 - 15*d = 0. Calculate d.
-2, 0, 3, 5
Solve -4*q**5 + 12*q**4 - 4*q**3 - 12*q**2 + 8*q = 0 for q.
-1, 0, 1, 2
Factor 2*t**3/9 - 8*t**2/9 - 50*t/9 + 56/9.
2*(t - 7)*(t - 1)*(t + 4)/9
Solve 3*d**3 + 5151*d**2 + 2208489*d - 2213643 = 0 for d.
-859, 1
Let -12*f**4 + 52*f**3 - 52*f**2 + 12*f = 0. Calculate f.
0, 1/3, 1, 3
Solve -u**2/2 + 60*u - 119/2 = 0.
1, 119
Solve -3*l**3 + 21*l**2 = 0 for l.
0, 7
Let -30*a**2/11 + 566*a/11 + 192/11 = 0. Calculate a.
-1/3, 96/5
Find n, given that -98*n**3/3 + 34*n**2 - 4*n/3 = 0.
0, 2/49, 1
Let 2*i**4 + 98*i**3 + 456*i**2 + 712*i + 352 = 0. Calculate i.
-44, -2, -1
Find i, given that -3*i**3/7 + 444*i**2/7 = 0.
0, 148
Factor 5*v**3 - 480*v**2 + 11985*v - 22090.
5*(v - 47)**2*(v - 2)
Find u such that -2*u**2 - 23036*u - 66332162 = 0.
-5759
Suppose -4*y**4 + 120*y**3 + 1220*y**2 - 120*y - 1216 = 0. Calculate y.
-8, -1, 1, 38
Factor -2*t**3/13 + 24*t**2/13 + 120*t/13 + 128/13.
-2*(t - 16)*(t + 2)**2/13
Factor 4*b**2 - 8*b - 192.
4*(b - 8)*(b + 6)
Suppose 3*l**5 - 15*l**4 + 12*l**3 + 48*l**2 - 96*l + 48 = 0. What is l?
-2, 1, 2
Suppose 2*q**3/7 - 240*q**2/7 = 0. Calculate q.
0, 120
Factor 4*y**3/3 + 212*y**2 + 11036*y/3 - 3892.
4*(y - 1)*(y + 21)*(y + 139)/3
Solve u**4/4 + 15*u**3/4 - u**2/4 - 15*u/4 = 0.
-15, -1, 0, 1
Solve 60*r**4 + 383*r**3 + 680*r**2 + 219*r + 18 = 0 for r.
-3, -1/4, -2/15
Factor -4*w**5 - 440*w**4 - 18820*w**3 - 389200*w**2 - 3872960*w - 14839552.
-4*(w + 13)**2*(w + 28)**3
Factor l**4 + 3*l**3 - 3*l**2 - 7*l + 6.
(l - 1)**2*(l + 2)*(l + 3)
Factor -3*f**5 - 33*f**4 + 162*f**3 - 258*f**2 + 177*f - 45.
-3*(f - 1)**4*(f + 15)
Factor 5*u**2 + 380*u + 375.
5*(u + 1)*(u + 75)
Factor i**3/6 - 7*i**2/3 - 31*i/6 - 8/3.
(i - 16)*(i + 1)**2/6
Suppose -2*k**3/5 - 34*k**2/5 - 192*k/5 - 72 = 0. Calculate k.
-6, -5
Factor 2*i**3 + 34*i**2/3 + 20*i/3.
2*i*(i + 5)*(3*i + 2)/3
Factor 4*h**4 - 208*h**2 + 384*h.
4*h*(h - 6)*(h - 2)*(h + 8)
Factor 3*r**3/4 - 57*r**2/4 + 75*r - 99.
3*(r - 11)*(r - 6)*(r - 2)/4
Determine y so that y**4/2 - 8*y**3 + 37*y**2/2 + 63*y + 36 = 0.
-1, 6, 12
Let 2*w**4/5 - 2*w**3/5 - 14*w**2/5 + 2*w/5 + 12/5 = 0. What is w?
-2, -1, 1, 3
Suppose -f**2/6 - 259*f/6 = 0. What is f?
-259, 0
Factor 5*d**4/3 - 35*d**3/3 + 5*d**2/3 + 45*d + 30.
5*(d - 6)*(d - 3)*(d + 1)**2/3
Suppose l**2/3 + 38*l/3 + 361/3 = 0. Calculate l.
-19
Factor -12*k**5 + 51*k**4 - 60*k**3 + 12*k**2.
-3*k**2*(k - 2)**2*(4*k - 1)
Factor -z**3/2 - 4*z**2 - 5*z/2 + 7.
-(z - 1)*(z + 2)*(z + 7)/2
Factor -3*q**4 + 159*q**3 - 2178*q**2 + 1716*q + 4056.
-3*(q - 26)**2*(q - 2)*(q + 1)
Factor -v**3/5 - 42*v**2/5 - 81*v/5 - 8.
-(v + 1)**2*(v + 40)/5
Find a such that a**2/4 - a/4 - 1/2 = 0.
-1, 2
Factor 9*u**4 - 66*u**3 + 69*u**2 + 24*u - 36.
3*(u - 6)*(u - 1)**2*(3*u + 2)
Find f, given that -3*f**5/2 + 62*f**4 - 138*f**3 + 57*f**2 + 119*f/2 - 39 = 0.
-2/3, 1, 39
Factor 4*o**3 + 72*o**2/7 + 20*o/7 - 24/7.
4*(o + 1)*(o + 2)*(7*o - 3)/7
Factor -5*q**5 + 5*q**4 + 15*q**3 - 25*q**2 + 10*q.
-5*q*(q - 1)**3*(q + 2)
Factor -78400*p**4 + 785120*p**3 - 1971204*p**2 + 28040*p - 100.
-4*(p - 5)**2*(140*p - 1)**2
Find f, given that 5*f**5 - 65*f**4 + 235*f**3 - 115*f**2 - 240*f + 180 = 0.
-1, 1, 6
Solve 5*o**3 + 15*o**2 - 5*o - 15 = 0 for o.
-3, -1, 1
Determine b, given that b**5/3 + 40*b**4/3 + 23*b**3 - 262*b**2/3 + 152*b/3 = 0.
-38, -4, 0, 1
Suppose 18*l**4 - 112*l**3 + 6*l**2 + 112*l - 24 = 0. What is l?
-1, 2/9, 1, 6
Solve 3*l**4/5 - 6*l**3/5 - 27*l**2/5 + 6*l/5 + 24/5 = 0.
-2, -1, 1, 4
Solve 45*s**2 - 605*s + 260 = 0.
4/9, 13
Factor -r**4/6 + 2*r**3 + 77*r**2/6 + 22*r + 34/3.
-(r - 17)*(r + 1)*(r + 2)**2/6
Factor -5*g**3 - 81*g**2 - 336*g - 64.
-(g + 8)**2*(5*g + 1)
Factor z**2 - 131*z + 868.
(z - 124)*(z - 7)
Factor -h**4/2 - 689*h**3 + 6228*h**2 - 18711*h + 37449/2.
-(h - 3)**3*(h + 1387)/2
Find b such that -2*b**3/11 - 158*b**2/11 - 3198*b/11 - 3042/11 = 0.
-39, -1
Factor 2*m**4/5 + 4*m**3 + 16*m**2/5 - 4*m - 18/5.
2*(m - 1)*(m + 1)**2*(m + 9)/5
Solve q**5/4 - q**4/2 - q**3/4 + q**2/2 = 0.
-1, 0, 1, 2
Solve 45*n**5 - 96*n**4 - 33*n**3 + 96*n**2 - 12*n = 0 for n.
-1, 0, 2/15, 1, 2
Let 2*r**4/7 - 754*r**3/7 + 96678*r**2/7 - 635418*r + 29773872/7 = 0. Calculate r.
8, 123
Factor 6*x**3/5 + 112*x**2/5 + 40*x.
2*x*(x + 2)*(3*x + 50)/5
Solve -5*w**2 - 300*w = 0.
-60, 0
Solve -y**4 + 4*y**3 + 35*y**2 - 150*y = 0.
-6, 0, 5
Find c, given that -2*c**5 - 6*c**4 + 98*c**3 - 114*c**2 - 216*c = 0.
-9, -1, 0, 3, 4
Factor 3*s**4 - 144*s**3 - 1155*s**2.
3*s**2*(s - 55)*(s + 7)
Solve -4*n**2/3 + 172*n/3 - 496 = 0 for n.
12, 31
Find x, given that -5*x**2 - 7470*x + 7475 = 0.
-1495, 1
Factor -4*j**3 - 96*j**2 - 756*j - 