2*h**2/5 - 2424*h/5 = 0.
-1212, 0
Factor -3*h**4 + 105*h**3 - 1209*h**2 + 4995*h - 3888.
-3*(h - 16)*(h - 9)**2*(h - 1)
Factor -11*c**5 - 31*c**4 - 27*c**3 - 5*c**2 + 2*c.
-c*(c + 1)**3*(11*c - 2)
Factor j**4/5 + 318*j**3/5 + 5180*j**2 + 97026*j/5 - 24649.
(j - 1)*(j + 5)*(j + 157)**2/5
Determine k, given that 3*k**2 + 276*k - 279 = 0.
-93, 1
Determine h so that -h**4/5 - 16*h**3/5 + h**2/5 + 16*h/5 = 0.
-16, -1, 0, 1
Factor -f**3/7 + 10*f**2/7 - 27*f/7 + 18/7.
-(f - 6)*(f - 3)*(f - 1)/7
What is d in 65*d**3/6 + 183*d**2/2 - 160*d/3 + 6 = 0?
-9, 2/13, 2/5
What is m in m**5/3 - 685*m**4/3 + 187690*m**3/3 - 25713530*m**2/3 + 1761376805*m/3 - 48261724457/3 = 0?
137
Factor -2*b**4 - 1168*b**3 - 255792*b**2 - 24897088*b - 908743712.
-2*(b + 146)**4
Determine f so that f**2/5 - 6*f/5 = 0.
0, 6
Factor 2*v**2/15 + 19756*v/15 + 48787442/15.
2*(v + 4939)**2/15
Factor n**4/3 + 23*n**3/3 - 103*n**2/3 + 133*n/3 - 18.
(n - 2)*(n - 1)**2*(n + 27)/3
Factor 2*t**2 - 4728*t + 2794248.
2*(t - 1182)**2
Suppose -k**5/6 - 17*k**4/2 + 53*k**3/3 = 0. What is k?
-53, 0, 2
Factor -2*v**2/19 - 2826*v/19 - 2824/19.
-2*(v + 1)*(v + 1412)/19
Factor -5*c**3 - 85*c**2 - 275*c - 195.
-5*(c + 1)*(c + 3)*(c + 13)
Let -19*n**2 - 27*n - 8 = 0. Calculate n.
-1, -8/19
Suppose -2*k**2/5 - 248*k/5 + 50 = 0. What is k?
-125, 1
Factor -3*r**2 + 6*r + 45.
-3*(r - 5)*(r + 3)
Let -4*p**4/7 + 8*p**3/7 + 12*p**2/7 - 32*p/7 + 16/7 = 0. Calculate p.
-2, 1, 2
Factor -j**4/6 + 187*j**3 - 313597*j**2/6 - 105094*j - 157922/3.
-(j - 562)**2*(j + 1)**2/6
Solve 8*q**5 + 12*q**4 - 32*q**3 - 52*q**2 + 16 = 0 for q.
-2, -1, 1/2, 2
What is g in 3*g**5/2 - 3*g**4/2 - 69*g**3/2 + 15*g**2/2 + 87*g - 60 = 0?
-4, -2, 1, 5
Factor 4*q**4 - 20*q**3 + 12*q**2 + 36*q.
4*q*(q - 3)**2*(q + 1)
Determine a so that -615*a**2 + 10*a = 0.
0, 2/123
Determine w, given that -243*w**4/8 + 2295*w**3/8 + 8013*w**2/4 - 1863*w/2 + 105 = 0.
-5, 2/9, 14
Factor -2*r**2/13 + 5364*r/13 + 10736/13.
-2*(r - 2684)*(r + 2)/13
Factor -2*w**2 - 37*w/2 + 15.
-(w + 10)*(4*w - 3)/2
Suppose -2*b**4/9 - 22*b**3/9 - 26*b**2/3 - 10*b = 0. What is b?
-5, -3, 0
Solve -b**3/9 + 28*b**2/3 - 205*b + 3362/9 = 0.
2, 41
Find a, given that 4*a**3 - 36*a**2 - 40*a = 0.
-1, 0, 10
Solve -3*w**5/7 - 240*w**4/7 + 6*w**3/7 + 480*w**2/7 - 3*w/7 - 240/7 = 0.
-80, -1, 1
Factor -t**3/5 - 36*t**2/5 - 68*t/5.
-t*(t + 2)*(t + 34)/5
What is f in -3*f**3 - 90*f**2 - 648*f - 960 = 0?
-20, -8, -2
Determine n, given that 135*n**5/2 - 375*n**4/2 + 110*n**3 - 10*n**2 = 0.
0, 1/9, 2/3, 2
Find y such that -4*y**2 + 21*y - 17 = 0.
1, 17/4
Let -3*a**5/5 + 11*a**4/5 - 6*a**3/5 - 12*a**2/5 + 8*a/5 = 0. Calculate a.
-1, 0, 2/3, 2
Factor -2*m**2 + 16*m - 14.
-2*(m - 7)*(m - 1)
Solve 2*n**4 + 2*n**3 - 270*n**2 + 742*n + 2548 = 0.
-13, -2, 7
Find p such that 48*p**4 - 4*p**3 - 836*p**2 + 1136*p + 336 = 0.
-14/3, -1/4, 2, 3
Let -j**2/3 - 56*j/3 - 784/3 = 0. Calculate j.
-28
Let m**5/4 - 9*m**4/4 + 13*m**3/2 - 17*m**2/2 + 21*m/4 - 5/4 = 0. What is m?
1, 5
Factor -3*w**2 + 4452*w - 1651692.
-3*(w - 742)**2
Determine d, given that 5*d**2 - 130*d + 845 = 0.
13
Factor -m**4/7 + 5*m**3/7 - 3*m**2/7 - 9*m/7.
-m*(m - 3)**2*(m + 1)/7
Factor -2*s**5 - 262*s**4 - 10482*s**3 - 81874*s**2 + 1758364*s - 4983504.
-2*(s - 6)*(s - 4)*(s + 47)**3
Factor 2*y**3/7 + 4*y**2 - 24*y - 432/7.
2*(y - 6)*(y + 2)*(y + 18)/7
Solve -6*d**2/11 + 186*d/11 + 612/11 = 0 for d.
-3, 34
Suppose 4*l**4/9 - 2*l**3/9 - 262*l**2/9 - 382*l/9 - 14 = 0. Calculate l.
-7, -1, -1/2, 9
Let 2*a**4/5 + 44*a**3/5 + 336*a**2/5 + 196*a + 686/5 = 0. What is a?
-7, -1
Let -2*l**5/9 + 220*l**4/9 - 8210*l**3/9 + 12120*l**2 - 21600*l + 10368 = 0. What is l?
1, 36
Factor 2*h**2/11 - 144*h/11 + 280/11.
2*(h - 70)*(h - 2)/11
Find x, given that -2*x**2/5 + 344*x/5 + 210 = 0.
-3, 175
Find o, given that -121*o**3/8 + 7029*o**2/8 - 945*o + 513/2 = 0.
6/11, 57
Factor 2*j**2/13 + 1074*j/13.
2*j*(j + 537)/13
Factor 68*t**2/3 - 23*t + 1/3.
(t - 1)*(68*t - 1)/3
Factor -3*j**2/5 - 6*j/5.
-3*j*(j + 2)/5
Suppose 7*r**3 + 691*r**2 - 898*r + 200 = 0. Calculate r.
-100, 2/7, 1
What is s in 60*s**4 + 44*s**3 - 1492*s**2 - 1100*s - 200 = 0?
-5, -2/5, -1/3, 5
Factor -3*r**5 - 15*r**4 - 21*r**3 - 9*r**2.
-3*r**2*(r + 1)**2*(r + 3)
Determine m so that -m**3/8 - 3*m**2/8 + m/2 = 0.
-4, 0, 1
Let 3*x**4 - 87*x**3 + 486*x**2 + 2112*x + 1536 = 0. Calculate x.
-2, -1, 16
Find w, given that -7*w**2/6 + 148*w/3 - 14 = 0.
2/7, 42
Factor 2*i**3 + 758*i**2 - 1522*i + 762.
2*(i - 1)**2*(i + 381)
Suppose -35*o**3 + 2110*o**2 - 600*o = 0. Calculate o.
0, 2/7, 60
Factor -t**3 - 260*t**2 + 1877*t + 2136.
-(t - 8)*(t + 1)*(t + 267)
Let -2*r**2/11 - 26*r/11 - 84/11 = 0. Calculate r.
-7, -6
Determine r, given that -5*r**2 - 170*r + 2475 = 0.
-45, 11
Suppose 64*z**3/3 - 1888*z**2/3 + 932*z/3 - 116/3 = 0. Calculate z.
1/4, 29
Factor 2*v**2 + 186*v + 1360.
2*(v + 8)*(v + 85)
Solve -3*n**4/4 + 3*n**3/2 + 3*n**2/4 - 3*n/2 = 0 for n.
-1, 0, 1, 2
Determine r, given that -4*r**2 + 428*r + 432 = 0.
-1, 108
Suppose -d**3/3 + 148*d**2/3 - 7021*d/3 + 34810 = 0. Calculate d.
30, 59
Solve -4*z**2/7 + 9532*z/7 - 19048/7 = 0 for z.
2, 2381
Determine l, given that l**2/5 + 546*l/5 - 1647/5 = 0.
-549, 3
Find f such that 4*f**4/9 + 220*f**3/3 + 28816*f**2/9 + 43520*f/3 + 102400/9 = 0.
-80, -4, -1
Solve -n**4 + 2*n**3 + 13*n**2 - 38*n + 24 = 0.
-4, 1, 2, 3
Find r, given that -3*r**4/2 - 354*r**3 - 19422*r**2 + 172752*r - 357216 = 0.
-122, 4
Factor 3*o**3/7 + 27*o**2/7 + 81*o/7 + 81/7.
3*(o + 3)**3/7
Factor 4*g**2/3 - 8*g/3.
4*g*(g - 2)/3
Find m, given that 3*m**2 + 42*m + 144 = 0.
-8, -6
Factor 2*v**2/13 - 8*v/13 + 8/13.
2*(v - 2)**2/13
Factor -v**2 - 110*v + 111.
-(v - 1)*(v + 111)
Find u, given that -20*u**5 + 20852*u**4 - 5420456*u**3 - 7621200*u**2 - 2179872*u = 0.
-1, -2/5, 0, 522
Factor 3*n**4 + 6*n**3 - 24*n**2.
3*n**2*(n - 2)*(n + 4)
Factor x**4/2 + 133*x**3/2 + 1960*x**2 - 17150*x.
x*(x - 7)*(x + 70)**2/2
What is g in -3*g**5 + 21*g**3 + 6*g**2 - 36*g - 24 = 0?
-2, -1, 2
What is j in -j**3/4 + 9*j**2 - 405*j/4 + 675/2 = 0?
6, 15
Factor -f**5 + 50*f**4 + f**3 - 50*f**2.
-f**2*(f - 50)*(f - 1)*(f + 1)
Factor -v**3/2 - 13*v**2/2 - 28*v - 40.
-(v + 4)**2*(v + 5)/2
Solve 14*i**4 + 4*i**3 - 14*i**2 - 4*i = 0.
-1, -2/7, 0, 1
Determine v, given that v**3/4 - 15*v**2/4 - 4*v + 105 = 0.
-5, 6, 14
Find l, given that 4*l**2/5 + 7576*l/5 + 3587236/5 = 0.
-947
Factor -2*x**2 - 76*x - 704.
-2*(x + 16)*(x + 22)
Suppose -2*h**3 + 60*h**2 - 450*h = 0. What is h?
0, 15
Solve -2*q**3/5 + 14*q**2/5 - 32*q/5 + 24/5 = 0.
2, 3
Factor 5*m**4 - 60*m**3 - 2970*m**2 + 18900*m + 496125.
5*(m - 21)**2*(m + 15)**2
Factor -2*r**3 - 4*r**2 + 192*r - 576.
-2*(r - 6)*(r - 4)*(r + 12)
Determine t, given that -3*t**3 - 1377*t**2/4 + 10593*t/4 - 1281/2 = 0.
-122, 1/4, 7
Let -2*b**3/9 - 34*b**2/9 + 268*b/9 + 352/3 = 0. Calculate b.
-22, -3, 8
Determine z, given that 2*z**5/9 - 374*z**4/9 + 17294*z**3/9 + 18046*z**2/9 - 17296*z/9 - 17672/9 = 0.
-1, 1, 94
Factor 3*s**3 + 72*s**2 + 405*s.
3*s*(s + 9)*(s + 15)
Factor 2*t**4 - 46*t**3 + 282*t**2 - 154*t - 484.
2*(t - 11)**2*(t - 2)*(t + 1)
Factor 2*v**2 - 34*v + 60.
2*(v - 15)*(v - 2)
Factor w**4/10 + 81*w**3/10 + 297*w**2/2 - 22869*w/10 - 323433/5.
(w - 18)*(w + 33)**3/10
Factor -5*g**3 + 35*g**2 + 85*g + 45.
-5*(g - 9)*(g + 1)**2
Determine s so that 3*s**3/4 - 27*s**2 = 0.
0, 36
Factor -2*o**2/9 - 254*o/9 + 172/3.
-2*(o - 2)*(o + 129)/9
Solve 12*j**2 - 1508*j - 504 = 0 for j.
-1/3, 126
Let -2*s**5/11 + 14*s**4/11 + 18*s**3/11 - 14*s**2/11 - 16*s/11 = 0. What is s?
-1, 0, 1, 8
Factor -4*t**3/3 - 64*t**2/3 + 644*t/3.
-4*t*(t - 7)*(t + 23)/3
Determine v, given that -2*v**2/13 - 3032*v/13 - 1149128/13 = 0.
-758
Let -h**3/3 + 30*h**2 - 539*h + 8228/3 = 0. What is h?
11, 68
Solve -4*m**2 + 88*m + 300 = 0.
-3, 25
Factor 843750*t**5/7 + 1755000*t**4/7 + 136800*t**3/7 + 3616*t**2/7 + 32*t/7.
2*t*(t + 2)*(75*t + 2)**3/7
Factor 28*h**3 - 4640*h**2 + 191564*h + 55112.
4*(h - 83)**2*(7*h + 2)
Suppose -3*u**2 + 864*u - 62208 = 0. What is u?
144
Factor 2*i**2/3 + 142*i/3 + 260.
2*(i + 6)*(i + 65)/3
Find o, given that -16*o**5 - 4*o**4 + 688*o**3 + 844*o**2 + 168*o = 0.
-6, -1, -1/4, 0, 7
Solve -q**5/8 + 7*q**4 - 519*q**3/8 - 968*q**2 - 896*q = 0 for q.
-7, -1, 0, 32
Suppose m**2 - 41*m + 78 = 