 -1
Factor 3*o**2/4 - 27*o/4.
3*o*(o - 9)/4
Factor 4*i**4 - 68*i**3 + 372*i**2 - 700*i + 392.
4*(i - 7)**2*(i - 2)*(i - 1)
Factor -w**5 + 6*w**4 + w**3 - 6*w**2.
-w**2*(w - 6)*(w - 1)*(w + 1)
Determine w so that 2*w**4 + 1890*w**3 + 1884*w**2 - 3776*w = 0.
-944, -2, 0, 1
Let -2*s**5 - 24*s**4 - 54*s**3 + 80*s**2 = 0. What is s?
-8, -5, 0, 1
Let z**4 + z**3 - 8*z**2 - 12*z = 0. Calculate z.
-2, 0, 3
Suppose 4*d**4 - 12*d**3 - 4*d**2 + 12*d = 0. Calculate d.
-1, 0, 1, 3
Suppose -2*d**2/11 - 38*d/11 + 40/11 = 0. Calculate d.
-20, 1
Find i such that 2*i**4/13 - 20*i**3/13 + 62*i**2/13 - 60*i/13 = 0.
0, 2, 3, 5
Factor -2*q**3 - 62*q**2 - 480*q.
-2*q*(q + 15)*(q + 16)
Determine a, given that a**5/4 + a**4/2 - 15*a**3 + 46*a**2 - 40*a = 0.
-10, 0, 2, 4
Solve z**2 - z = 0 for z.
0, 1
What is l in -3*l**2 + 45*l = 0?
0, 15
Determine v so that -4*v**3 + 68*v**2 + 904*v + 832 = 0.
-8, -1, 26
Solve -2*g**2/11 + 270*g/11 - 532/11 = 0.
2, 133
Factor 81*w**2/5 + 3*w.
3*w*(27*w + 5)/5
Determine o, given that o**3/8 + 19*o**2/4 - o/8 - 19/4 = 0.
-38, -1, 1
Factor 2*k**2/11 - 446*k/11.
2*k*(k - 223)/11
Suppose -v**4/2 - v**3 + 12*v**2 + 16*v - 64 = 0. What is v?
-4, 2, 4
Suppose y**2 - 28*y + 96 = 0. What is y?
4, 24
Determine o so that o**5/4 - o**4/2 - o**3/4 + o**2/2 = 0.
-1, 0, 1, 2
Find h such that -h**4/2 + 2*h**3 + 37*h**2/2 - 20*h = 0.
-5, 0, 1, 8
Determine n, given that -3*n**4/2 + 960*n**3 - 230400*n**2 + 24576000*n - 983040000 = 0.
160
Find y such that y**2/4 - 483*y/2 + 233289/4 = 0.
483
What is k in 2*k**4 + 68*k**3 + 554*k**2 + 1032*k - 1656 = 0?
-23, -6, 1
Factor -h**3/2 - 22*h**2 - 525*h/2 - 441.
-(h + 2)*(h + 21)**2/2
Factor 2*l**4 - l**3 - 2*l**2 + l.
l*(l - 1)*(l + 1)*(2*l - 1)
Factor -2048*k**3/11 + 6528*k**2/11 - 1170*k/11 + 54/11.
-2*(k - 3)*(32*k - 3)**2/11
Factor -2*r**2/11 + 678*r/11 + 680/11.
-2*(r - 340)*(r + 1)/11
Factor 20*y**3/3 - 384*y**2 + 676*y/3 + 152.
4*(y - 57)*(y - 1)*(5*y + 2)/3
Factor -3*b**3 - 177*b**2 - 510*b - 336.
-3*(b + 1)*(b + 2)*(b + 56)
Solve -v**4/6 + 31*v**3 - 8461*v**2/6 - 2914*v - 4418/3 = 0 for v.
-1, 94
Factor 4*v**2 - 208*v - 3072.
4*(v - 64)*(v + 12)
Factor 5*m**2 - 970*m + 47045.
5*(m - 97)**2
Factor 8450*r**3 + 83980*r**2 - 5192*r + 80.
2*(r + 10)*(65*r - 2)**2
Determine n so that -4*n**4 - 216*n**3 - 2692*n**2 + 6048*n - 3136 = 0.
-28, 1
Factor k**4 - 26*k**3 + 156*k**2 - 216*k.
k*(k - 18)*(k - 6)*(k - 2)
Let 59536*x**4/3 - 46604*x**3/3 - 4468*x**2 + 476*x/3 - 4/3 = 0. What is x?
-1/4, 1/61, 1
Find u such that -u**5 - 266*u**4 - 17686*u**3 + 800*u**2 + 53599*u + 35378 = 0.
-133, -1, 2
Factor 8*l**2/3 + 4*l + 4/3.
4*(l + 1)*(2*l + 1)/3
Suppose -o**3/9 - 22*o**2/9 - 140*o/9 - 200/9 = 0. What is o?
-10, -2
Determine u, given that u**3/2 + 25*u**2/2 + 87*u + 180 = 0.
-15, -6, -4
Determine f so that -4*f**2/9 + 4*f/3 + 16/9 = 0.
-1, 4
Solve 3*b**5 + 9*b**4 - 66*b**3 - 222*b**2 - 225*b - 75 = 0 for b.
-5, -1, 5
Solve a**5/2 + 6*a**4 - a**3/2 - 6*a**2 = 0.
-12, -1, 0, 1
Factor v**2 - 85*v - 744.
(v - 93)*(v + 8)
Factor -3*k**4 + 57*k**3 + 3*k**2 - 57*k.
-3*k*(k - 19)*(k - 1)*(k + 1)
Factor 3*g**4 + 129*g**3 + 990*g**2.
3*g**2*(g + 10)*(g + 33)
Let 4*g**4 = 0. What is g?
0
Factor 4*r**5 - 12*r**4 + 12*r**3 - 4*r**2.
4*r**2*(r - 1)**3
Solve -2*i**2/3 - 1100*i/3 - 1094 = 0 for i.
-547, -3
Suppose 3*b**3 - 9*b**2 - 30*b + 72 = 0. Calculate b.
-3, 2, 4
Solve -2*i**5 + i**4 + 13*i**3 - 2*i**2 - 20*i - 8 = 0.
-2, -1, -1/2, 2
Factor 2*i**2/3 - 7934*i/15 + 3172/15.
2*(i - 793)*(5*i - 2)/15
Factor -2*t**5/7 - 2*t**4/7 + 6*t**3/7 + 10*t**2/7 + 4*t/7.
-2*t*(t - 2)*(t + 1)**3/7
Find w, given that -3*w**5 - 3*w**4 + 231*w**3 - 417*w**2 - 228*w + 420 = 0.
-10, -1, 1, 2, 7
Factor -5*n**3/6 + 155*n**2/3 - 4805*n/6.
-5*n*(n - 31)**2/6
Solve 3*i**5/5 + 33*i**4/5 - 39*i**3/5 - 33*i**2/5 + 36*i/5 = 0 for i.
-12, -1, 0, 1
Factor -a**5 + 4*a**4.
-a**4*(a - 4)
Let -4*o**4/7 + 8*o**3/7 + 156*o**2 + 1080*o/7 = 0. What is o?
-15, -1, 0, 18
Suppose -4*r**4 + 8*r**3 + 108*r**2 + 208*r + 112 = 0. What is r?
-2, -1, 7
Determine h, given that -2*h**4/9 - 412*h**3/9 - 818*h**2/9 - 136*h/3 = 0.
-204, -1, 0
Factor -3*p**2/4 + 6789*p - 15363507.
-3*(p - 4526)**2/4
What is k in -3*k**4 + 12*k**3 + 138*k**2 - 12*k - 135 = 0?
-5, -1, 1, 9
Factor 3*c**3 - 63*c**2 - 66*c.
3*c*(c - 22)*(c + 1)
Solve -4*u**3/5 - 232*u**2/5 - 448*u/5 = 0 for u.
-56, -2, 0
Factor -v**4 - 68*v**3 - 198*v**2 - 196*v - 65.
-(v + 1)**3*(v + 65)
Factor 32*i**4/7 + 16*i**3 + 50*i**2/7 + 6*i/7.
2*i*(i + 3)*(4*i + 1)**2/7
Solve h**2/5 + 12634*h/5 + 39904489/5 = 0 for h.
-6317
Factor x**3/3 - 23*x**2/3 + 22*x/3.
x*(x - 22)*(x - 1)/3
What is x in -x**3/6 - 43*x**2/3 - 1102*x/3 - 7220/3 = 0?
-38, -10
Find q, given that 2*q**4/21 + 10*q**3/21 - 8*q**2/21 - 40*q/21 = 0.
-5, -2, 0, 2
Factor 2*v**3/11 - 10*v**2/11 + 8*v/11.
2*v*(v - 4)*(v - 1)/11
Solve 2*w**2/3 + 38*w/3 + 12 = 0 for w.
-18, -1
Factor 9*a**3/2 - 195*a**2/4 - 1113*a/4 - 45.
3*(a - 15)*(a + 4)*(6*a + 1)/4
Find j, given that -12*j**5 + 398*j**4 - 58*j**3 - 262*j**2 - 66*j = 0.
-1/2, -1/3, 0, 1, 33
Factor m**5/5 + 3*m**4/5 - m**3/5 - 3*m**2/5.
m**2*(m - 1)*(m + 1)*(m + 3)/5
Solve -12*n**2/5 + 50*n + 42/5 = 0.
-1/6, 21
What is i in -2*i**4/7 + 26*i**3/7 - 18*i**2 + 270*i/7 - 216/7 = 0?
3, 4
Factor 2*c**3 - 134*c**2 + 620*c.
2*c*(c - 62)*(c - 5)
Solve -i**2 - 296*i - 21904 = 0 for i.
-148
Solve c**4/4 + 79*c**3/4 - 603*c**2/4 - 79*c/4 + 301/2 = 0 for c.
-86, -1, 1, 7
Determine z, given that 2*z**5 - 10*z**4 + 6*z**3 + 18*z**2 = 0.
-1, 0, 3
Let 5*q**4 + 190*q**3 + 1965*q**2 + 2700*q - 4860 = 0. What is q?
-18, -3, 1
Factor -2*s**2/7 - 172*s/7.
-2*s*(s + 86)/7
Factor 5*a**2 + 115*a + 380.
5*(a + 4)*(a + 19)
Factor -3*j**2/2 - 741*j/4 + 747/4.
-3*(j - 1)*(2*j + 249)/4
Factor 2*m**5 - 16*m**4 - 24*m**3 + 224*m**2 - 256*m.
2*m*(m - 8)*(m - 2)**2*(m + 4)
Factor -n**3 + 116*n**2 - 3869*n + 28090.
-(n - 53)**2*(n - 10)
Factor -1470*i**3/11 + 112*i**2 - 344*i/11 + 32/11.
-2*(7*i - 2)**2*(15*i - 4)/11
Factor -35*v**4 - 75*v**3 + 95*v**2 + 15*v.
-5*v*(v - 1)*(v + 3)*(7*v + 1)
Solve -5*i**3 + 75*i**2 - 160*i - 660 = 0 for i.
-2, 6, 11
Factor 4*y**3/7 + 484*y**2/7 - 140*y + 492/7.
4*(y - 1)**2*(y + 123)/7
Factor 269*k**3/3 - 586*k**2/3 + 365*k/3 - 16.
(k - 1)**2*(269*k - 48)/3
Determine l so that 3*l**3/4 + 153*l**2/4 + 1701*l/4 + 5439/4 = 0.
-37, -7
Factor -2*s**3 - 364*s**2 + 2*s + 364.
-2*(s - 1)*(s + 1)*(s + 182)
Factor 2*t**2/9 + 10*t/9 - 532/9.
2*(t - 14)*(t + 19)/9
Factor 2*x**3 + 4*x**2 - 70*x.
2*x*(x - 5)*(x + 7)
Solve 2*y**5 - 32*y**3 + 76*y**2 - 66*y + 20 = 0 for y.
-5, 1, 2
Let h**3/5 + 821*h**2/5 + 3272*h/5 + 3268/5 = 0. What is h?
-817, -2
Suppose -2*f**5/13 - 28*f**4/13 - 92*f**3/13 + 80*f**2/13 + 238*f/13 - 196/13 = 0. What is f?
-7, -2, 1
Factor -3*r**3 + 21*r**2 + 27*r - 189.
-3*(r - 7)*(r - 3)*(r + 3)
Factor 2*l**3/9 + 28*l**2/9 - 62*l/9 + 32/9.
2*(l - 1)**2*(l + 16)/9
Factor 120*p**3 + 244*p**2 + 4*p - 8.
4*(p + 2)*(5*p + 1)*(6*p - 1)
Let 4*i**3 + 8*i**2 - 96*i = 0. What is i?
-6, 0, 4
Factor -y**2/8 - 473*y/4 - 223729/8.
-(y + 473)**2/8
Find f such that -f**5 - 7*f**4 + 10*f**3 + 70*f**2 - 9*f - 63 = 0.
-7, -3, -1, 1, 3
Factor k**5 + 22*k**4 + 141*k**3 + 220*k**2 + 100*k.
k*(k + 1)**2*(k + 10)**2
Solve 4*u**2 - 56*u = 0.
0, 14
Let -56200*c**3 - 34120*c**2 - 5298*c - 36 = 0. What is c?
-3/10, -2/281
Suppose 63*b**4 - 402*b**3 + 51*b**2 + 612*b - 324 = 0. Calculate b.
-9/7, 2/3, 1, 6
Solve -2*f**5 - 20*f**4 - 50*f**3 = 0.
-5, 0
Factor -n**4 - 1261*n**3.
-n**3*(n + 1261)
What is f in 2*f**4/7 + 26*f**3/7 + 36*f**2/7 - 104*f/7 - 176/7 = 0?
-11, -2, 2
Suppose l**5/2 - 3*l**3/2 - l**2 = 0. What is l?
-1, 0, 2
Factor -h**4 + 1480*h**3.
-h**3*(h - 1480)
Factor -4*r**2 + 208*r + 212.
-4*(r - 53)*(r + 1)
Suppose -2*n**4/5 - 328*n**3 + 1644*n**2/5 + 328*n - 1642/5 = 0. Calculate n.
-821, -1, 1
Find m such that 68*m**3 + 896*m**2 + 972*m + 144 = 0.
-12, -1, -3/17
Find j, given that -2*j**3 + 200*j**2 + 5126*j + 29524 = 0.
-11, 122
Find v, given that -108*v**2 + 5620*v - 208 = 0.
1/27, 52
Factor -i**2/6 - 19*i/3 - 12.
-(i + 2)*(i + 36)/6
Factor 5*t**4 + 25*t**3 - 70*t**2.
5*t**2*(t - 2)*(t + 7)
Solve -y**2/3 + 5690*y/3 - 8094025/3 = 0.
2845
Let g**5/2 - 3*g**4/2 - 3*g**3 + 5*g**2 + 21*g/2 + 9/2 = 0. What is g?
-1, 3
Solve -13