64 = 0.
6, 133
Factor -4*w**2/3 - 80*w/3 - 76/3.
-4*(w + 1)*(w + 19)/3
Factor -x**2/4 - 11*x/4 - 6.
-(x + 3)*(x + 8)/4
Suppose 2*k**4/7 - 388*k**3/7 + 26546*k**2/7 - 107088*k + 1066464 = 0. What is k?
28, 69
Determine k, given that 36*k**4 - 74*k**3 - 248*k**2 - 130*k + 8 = 0.
-1, 1/18, 4
Factor 60*m**3 - 124*m**2 + 68*m - 4.
4*(m - 1)**2*(15*m - 1)
Factor -2*x**2 + 336*x - 14112.
-2*(x - 84)**2
Factor 3*b**3 - 78*b**2 + 147*b - 72.
3*(b - 24)*(b - 1)**2
Solve -2*s**3/21 + 1744*s**2/21 - 380192*s/21 = 0 for s.
0, 436
Find x, given that 2*x**3/5 + 62*x**2/5 - 2*x/5 - 62/5 = 0.
-31, -1, 1
Let -28*o**5 - 5636*o**4 - 281580*o**3 + 205636*o**2 + 81608*o = 0. What is o?
-101, -2/7, 0, 1
Suppose 3*j**3 + 678*j**2 + 669*j - 1350 = 0. Calculate j.
-225, -2, 1
Suppose 26*x**2/3 - 3584*x/3 - 184 = 0. What is x?
-2/13, 138
Factor 2*n**2/3 + 1328*n/3 - 1330/3.
2*(n - 1)*(n + 665)/3
Factor -5*p**3 + 305*p**2 - 5320*p + 19600.
-5*(p - 28)**2*(p - 5)
Factor 5*n**4 - 520*n**3 + 1530*n**2 - 1520*n + 505.
5*(n - 101)*(n - 1)**3
What is i in -i**5 + 48*i**4 - 797*i**3 + 5006*i**2 - 4896*i - 36992 = 0?
-2, 8, 17
Find w, given that -5*w**2 + 690*w - 685 = 0.
1, 137
Factor -p**2 - 55*p - 54.
-(p + 1)*(p + 54)
Let -6*v**5/5 + 34*v**4/5 + 28*v**3/5 - 104*v**2/5 + 48*v/5 = 0. What is v?
-2, 0, 2/3, 1, 6
Suppose -2*t**5/5 + 42*t**4 - 7348*t**3/5 + 17108*t**2 + 1470*t - 17150 = 0. Calculate t.
-1, 1, 35
Factor -2*i**3/3 - 530*i**2/3 - 1054*i/3 - 526/3.
-2*(i + 1)**2*(i + 263)/3
Factor n**4/4 + 115*n**3/4 + 111*n**2/2 - 115*n - 226.
(n - 2)*(n + 2)**2*(n + 113)/4
Factor 155682*o**2/7 - 2232*o/7 + 8/7.
2*(279*o - 2)**2/7
Determine b, given that -2*b**4 - 44*b**3 + 50*b**2 + 92*b = 0.
-23, -1, 0, 2
Solve 2*o**5/15 + 2*o**4/5 - 8*o**3/15 - 32*o**2/15 + 32/15 = 0.
-2, 1, 2
Suppose m**3/4 + 141*m**2/2 + 561*m/4 + 70 = 0. Calculate m.
-280, -1
Find d such that -d**3/3 - 74*d**2/3 - 656*d/3 - 1024/3 = 0.
-64, -8, -2
Factor -4*l**2/3 - 400*l/3 - 388.
-4*(l + 3)*(l + 97)/3
Factor 7*p**2 - 13*p - 2.
(p - 2)*(7*p + 1)
Find i, given that 2*i**4 + 16*i**3 + 34*i**2 - 4*i - 48 = 0.
-4, -3, -2, 1
Find c, given that -2*c**2/5 - 18*c/5 + 4 = 0.
-10, 1
Factor 5*c**5 + 2030*c**4 + 4045*c**3 + 2020*c**2.
5*c**2*(c + 1)**2*(c + 404)
Solve 112*k**4/5 + 204*k**3/5 - 52*k**2/5 - 24*k/5 = 0 for k.
-2, -1/4, 0, 3/7
Let -4*s**2 + 14912*s = 0. Calculate s.
0, 3728
Determine l, given that -3*l**2/4 + 12*l + 51/4 = 0.
-1, 17
Factor -v**3/4 + 23*v**2/4 - 21*v/2.
-v*(v - 21)*(v - 2)/4
Find i, given that -4*i**5/5 - 8*i**4 + 304*i**3/5 - 8*i**2/5 - 1068*i/5 - 144 = 0.
-15, -1, 3, 4
Determine a, given that 5*a**3/6 + 365*a**2/6 + 2210*a/3 + 2030/3 = 0.
-58, -14, -1
What is d in -2*d**2/5 + 3004*d/5 - 1128002/5 = 0?
751
Factor 4*v**3/7 + 202*v**2/7.
2*v**2*(2*v + 101)/7
Suppose -2*u**3/15 - 68*u**2/15 - 22*u/5 = 0. What is u?
-33, -1, 0
Suppose 2*m**2/15 + 7672*m/15 + 7357448/15 = 0. Calculate m.
-1918
Factor -4*d**2 - 112*d + 1152.
-4*(d - 8)*(d + 36)
Let 2*g**3 - 22*g**2 - 80*g - 56 = 0. What is g?
-2, -1, 14
Suppose 49*p**4/2 - 77*p**3 - 6*p**2 + 45*p + 27/2 = 0. What is p?
-3/7, 1, 3
Factor 5*g**4 - 20*g**2.
5*g**2*(g - 2)*(g + 2)
Factor -j**5 - 12*j**4 - 44*j**3 - 16*j**2 + 192*j + 256.
-(j - 2)*(j + 2)*(j + 4)**3
Factor -115*m**2 - 280*m - 100.
-5*(m + 2)*(23*m + 10)
Factor 2*h**2/5 - 1088*h/5 + 147968/5.
2*(h - 272)**2/5
Determine a, given that -16*a**5/5 - 84*a**4/5 + 28*a**3/5 + 732*a**2/5 + 1044*a/5 + 216/5 = 0.
-3, -2, -1/4, 3
Suppose 11*x**3 - 12*x**2 + x = 0. Calculate x.
0, 1/11, 1
Factor -4*f**3 + 1992*f**2 - 248004*f.
-4*f*(f - 249)**2
Solve n**2 + 229*n/12 + 19/12 = 0.
-19, -1/12
Let -92*m**2/9 - 3130*m/9 - 68/9 = 0. Calculate m.
-34, -1/46
Let -2*w**5/5 + 114*w**4/5 - 622*w**3/5 + 102*w**2 = 0. Calculate w.
0, 1, 5, 51
Factor 3*c**3 + 33*c**2 - 36*c.
3*c*(c - 1)*(c + 12)
Determine y, given that 6*y**4 - 118*y**3 + 464*y**2 + 168*y = 0.
-1/3, 0, 6, 14
Factor y**5 + 3*y**4 - 3*y**3 - 11*y**2 - 6*y.
y*(y - 2)*(y + 1)**2*(y + 3)
Factor 4*c**2 + 180*c + 344.
4*(c + 2)*(c + 43)
Factor -2*a**3/3 + 34*a**2/3 - 182*a/3 + 98.
-2*(a - 7)**2*(a - 3)/3
Let 2*r**5 - 9*r**4 + 8*r**3 + 6*r**2 - 10*r + 3 = 0. Calculate r.
-1, 1/2, 1, 3
What is k in -3*k**4 + 168*k**3 - 1794*k**2 - 15624*k - 25947 = 0?
-3, 31
What is z in 4*z**3 + 24*z**2 - 28*z = 0?
-7, 0, 1
Solve -4*k**5 + 12*k**4 + 4*k**3 - 28*k**2 + 16 = 0 for k.
-1, 1, 2
Suppose 4*h**2 + 1072*h + 1068 = 0. What is h?
-267, -1
Suppose -35*v**2/2 - 29*v + 12 = 0. Calculate v.
-2, 12/35
Suppose -2*n**2 - 13908*n - 24179058 = 0. Calculate n.
-3477
Determine y, given that -3*y**2/7 - 1668*y/7 = 0.
-556, 0
Determine w, given that 3*w**3/8 - 945*w**2/8 + 99225*w/8 - 3472875/8 = 0.
105
Suppose -2*h**3/13 - 14*h**2/13 + 36*h/13 = 0. Calculate h.
-9, 0, 2
Solve -2*o**3/17 + 958*o**2/17 - 956*o/17 = 0 for o.
0, 1, 478
Find y, given that -9*y**5/8 + 39*y**4/8 + 345*y**3/8 + 345*y**2/8 - 99*y/2 - 81/2 = 0.
-3, -2, -2/3, 1, 9
What is x in -x**5 + 5*x**4 + 10*x**3 - 20*x**2 - 24*x = 0?
-2, -1, 0, 2, 6
Let 5*l**3 + 230*l**2 + 2360*l + 3840 = 0. What is l?
-32, -12, -2
Find m such that -56*m**3 - 4*m**2 + 56*m + 4 = 0.
-1, -1/14, 1
Factor -5*a**2 - 265*a + 550.
-5*(a - 2)*(a + 55)
Let -6*t**4/5 - 3422*t**3/5 - 228*t**2 = 0. What is t?
-570, -1/3, 0
Let -2*z**2 + 1536*z - 294912 = 0. Calculate z.
384
What is t in -t**4 + 98*t**3 + 199*t**2 + 100*t = 0?
-1, 0, 100
Determine t, given that 5*t**4 + 30*t**3 - 125*t**2 - 270*t + 720 = 0.
-8, -3, 2, 3
Determine c so that -c**5 + 4*c**4 + 7*c**3 - 34*c**2 - 12*c + 72 = 0.
-2, 2, 3
Determine c so that 3*c**3 - 12*c**2 + 15*c - 6 = 0.
1, 2
Factor 2*t**4 + 608*t**3/3 + 45596*t**2/9 - 10336*t/3 + 578.
2*(t + 51)**2*(3*t - 1)**2/9
Factor -4*o**3 - 20*o**2.
-4*o**2*(o + 5)
Determine w, given that -12*w**4/7 - 50*w**3/7 + 122*w**2/7 - 60*w/7 = 0.
-6, 0, 5/6, 1
Find c such that 4*c**3 - 564*c**2 - 3492*c - 5292 = 0.
-3, 147
Factor 2*i**3 + 282*i**2 + 10080*i + 9800.
2*(i + 1)*(i + 70)**2
Factor 8*h**3 + 576*h**2 - 582*h + 146.
2*(h + 73)*(2*h - 1)**2
Factor -4*p**3/7 + 27*p**2/7 - 41*p/7 - 12/7.
-(p - 4)*(p - 3)*(4*p + 1)/7
Factor 2*y**3/7 - 6*y**2/7 - 2*y/7 + 6/7.
2*(y - 3)*(y - 1)*(y + 1)/7
What is h in h**4/2 + 7*h**3/2 + 3*h**2 = 0?
-6, -1, 0
Find o such that 15*o**4 - 63*o**3 + 57*o**2 - 9*o = 0.
0, 1/5, 1, 3
Factor 2*p**3 - 58*p**2 + 294*p - 414.
2*(p - 23)*(p - 3)**2
Factor c**3/3 - 778*c**2.
c**2*(c - 2334)/3
Factor -t**4 - 71*t**3 - 1224*t**2 + 1296*t.
-t*(t - 1)*(t + 36)**2
Factor 21*h**3/5 - 57*h**2/5 - 228*h/5 - 12.
3*(h - 5)*(h + 2)*(7*h + 2)/5
Determine p, given that -7*p**5/3 - 445*p**4/3 - 3520*p**3 - 110080*p**2/3 - 409600*p/3 + 65536 = 0.
-16, 3/7
Let 2*t**3/19 - 60*t**2/19 + 450*t/19 = 0. Calculate t.
0, 15
Factor 2*m**2 + 30*m + 52.
2*(m + 2)*(m + 13)
Factor l**2/2 - 43*l/2 - 69.
(l - 46)*(l + 3)/2
Suppose 2*j**2/7 - 9724*j/7 + 11819522/7 = 0. Calculate j.
2431
Factor -3*v**4 + 3*v**3 + 3*v**2 - 3*v.
-3*v*(v - 1)**2*(v + 1)
Solve 3*m**2/2 - 9*m - 273/2 = 0.
-7, 13
Factor a**5 - 447*a**4 - 1350*a**3 - 4*a**2 + 1800*a.
a*(a - 450)*(a - 1)*(a + 2)**2
Find z, given that -6*z**5 - 76*z**4 + 542*z**3 - 604*z**2 + 144*z = 0.
-18, 0, 1/3, 1, 4
Suppose -2*s**2/3 + 22*s/3 - 20/3 = 0. What is s?
1, 10
Find a such that 2*a**5/3 + 4*a**4/3 - 72*a**3 + 860*a**2/3 - 650*a/3 = 0.
-13, 0, 1, 5
Suppose -2*z**3/11 + 6*z**2/11 + 2*z/11 - 6/11 = 0. Calculate z.
-1, 1, 3
Find b, given that -2*b**2/15 - 16*b - 480 = 0.
-60
What is h in -h**2/2 + 613*h/2 + 307 = 0?
-1, 614
Find m, given that -m**4/2 + 88*m**3/3 + 629*m**2/6 - 277*m/3 - 124/3 = 0.
-4, -1/3, 1, 62
Suppose f**3 + 10*f**2 + 12*f - 72 = 0. What is f?
-6, 2
Suppose -y**4/5 - 29*y**3/5 + 61*y**2/5 - 31*y/5 = 0. Calculate y.
-31, 0, 1
Factor -3*s**2/7 - 3*s - 36/7.
-3*(s + 3)*(s + 4)/7
Let 2*w**3/7 + 4*w**2/7 - 16*w/7 = 0. What is w?
-4, 0, 2
Factor -s**4 + 9*s**3 - 30*s**2 + 44*s - 24.
-(s - 3)*(s - 2)**3
Solve -j**2 + 352*j - 30976 = 0.
176
Solve k**2 + 57*k + 56 = 0.
-56, -1
Factor 5*g**2 + 2260*g + 255380.
5*(g + 226)**2
Let 2*v**5/9 + 20*v**4/3 + 38*v**3/3 + 56*v**2/9 = 0. Calculate v.
-28, -1, 0
Determine r, given that -140*r**5/9 - 586*r**4/9 - 562*r**3/9 - 200*r**2/9 - 8*r/3 = 0.
-3, -1/2, -2/5, -2/7, 0
Determine l, given that 2*l**2 + 126*l + 880 = 0.
-55, -8
Facto