Solve 3*m**2/5 - 1554*m/5 + 927 = 0.
3, 515
Factor -5*m**5 - 3235*m**4 - 693335*m**3 - 48279245*m**2 + 201540920*m - 204366260.
-5*(m - 2)**2*(m + 217)**3
Factor 3*c**3 - 15*c**2 + 6*c + 24.
3*(c - 4)*(c - 2)*(c + 1)
Solve -5*w**2 - 920*w - 42320 = 0.
-92
Solve a**4/5 + a**3 - 33*a**2/5 + 27*a/5 = 0.
-9, 0, 1, 3
Determine a so that -a**4/5 - 58*a**3/5 - 44*a**2 - 216*a/5 = 0.
-54, -2, 0
Let 2*p**3/15 - 16*p**2/5 + 22*p - 140/3 = 0. Calculate p.
5, 14
Let a**4/4 + a**3 + a**2/2 - a - 3/4 = 0. What is a?
-3, -1, 1
Factor 4*d**4 + 128*d**3 - 132*d**2.
4*d**2*(d - 1)*(d + 33)
Factor -8*c**2 - 4*c + 220.
-4*(c - 5)*(2*c + 11)
Factor b**4 + 5*b**3 - 43*b**2 + 67*b - 30.
(b - 3)*(b - 1)**2*(b + 10)
Determine d, given that 5*d**5 + 50*d**4 - 85*d**3 - 310*d**2 + 260*d + 440 = 0.
-11, -2, -1, 2
Factor r**2 - 124*r - 252.
(r - 126)*(r + 2)
Factor -v**4/3 + 5*v**3/3 - 3*v**2 + 7*v/3 - 2/3.
-(v - 2)*(v - 1)**3/3
Factor m**5 - 27*m**4 + 781*m**3/4 - 351*m**2/2 + 169*m/4.
m*(m - 13)**2*(2*m - 1)**2/4
Factor 12*x**4 + 9*x**3 - 3*x**2.
3*x**2*(x + 1)*(4*x - 1)
Determine n, given that 2*n**3/11 - 62*n**2/11 + 272*n/11 - 312/11 = 0.
2, 3, 26
Determine r, given that -16*r**3/3 - 296*r**2/3 + 157*r - 60 = 0.
-20, 3/4
Solve 4*k**5 - 60*k**4 - 292*k**3 - 228*k**2 = 0.
-3, -1, 0, 19
Factor -36*r**3/5 + 532*r**2/5 + 24*r.
-4*r*(r - 15)*(9*r + 2)/5
Factor -26*p**2/11 + 40*p/11.
-2*p*(13*p - 20)/11
Suppose -3*u**2/2 - 21*u/2 = 0. Calculate u.
-7, 0
Factor 28*o**3 - 265*o**2 + 314*o + 112.
(o - 8)*(4*o - 7)*(7*o + 2)
Find x such that -4*x**4/7 - 16*x**3/7 - 24*x**2/7 - 16*x/7 - 4/7 = 0.
-1
Factor 4*r**4 - 16*r**3 - 4*r**2 + 16*r.
4*r*(r - 4)*(r - 1)*(r + 1)
Factor -x**3/5 + 1407*x**2/5 - 659883*x/5 + 103161709/5.
-(x - 469)**3/5
Factor 4*a**4 + 20*a**3 + 32*a**2 + 16*a.
4*a*(a + 1)*(a + 2)**2
Solve -2*q**4/19 - 50*q**3/19 - 402*q**2/19 - 1270*q/19 - 1300/19 = 0.
-13, -5, -2
Factor -3*f**4 - 6*f**3 + 33*f**2 + 36*f - 108.
-3*(f - 2)**2*(f + 3)**2
Factor -3*z**3 - 27*z**2 - 60*z - 36.
-3*(z + 1)*(z + 2)*(z + 6)
Factor u**2/2 + 80*u - 489/2.
(u - 3)*(u + 163)/2
Factor -3*n**3 - 900*n**2.
-3*n**2*(n + 300)
Determine w so that -3*w**2 + 111*w + 360 = 0.
-3, 40
Factor 2*u**5/5 - 24*u**4/5 + 96*u**3/5 - 128*u**2/5.
2*u**2*(u - 4)**3/5
Factor 5*q**2 - 660*q + 21780.
5*(q - 66)**2
What is g in 2*g**3/11 - 12*g**2/11 + 18*g/11 - 8/11 = 0?
1, 4
Solve -2*x**3/3 + 50*x**2/3 - 406*x/3 + 1078/3 = 0.
7, 11
Factor 2*a**5/3 + 2*a**4 + 2*a**3 + 2*a**2/3.
2*a**2*(a + 1)**3/3
Factor -5*h**3/6 + 160*h**2/3 - 5425*h/6 + 4805/3.
-5*(h - 31)**2*(h - 2)/6
Let 245*c**3 + 152530*c**2 + 87100*c + 12440 = 0. Calculate c.
-622, -2/7
Factor 2*v**5/3 + 4*v**4/3 - 2*v**3.
2*v**3*(v - 1)*(v + 3)/3
Find n such that 2*n**4 - 4*n**3 - 6*n**2 + 16*n - 8 = 0.
-2, 1, 2
Solve 3*y**4 + 72*y**3 + 447*y**2 + 558*y - 1080 = 0 for y.
-15, -6, -4, 1
Suppose 10*h**4/7 - 24*h**3/7 - 246*h**2/7 - 124*h/7 + 384/7 = 0. What is h?
-3, -2, 1, 32/5
Factor 4*u**3 - 4*u**2 - 16*u + 16.
4*(u - 2)*(u - 1)*(u + 2)
Find n, given that -n**4/4 + n**3/4 = 0.
0, 1
Solve -2*h**2/3 + 136*h/3 - 134/3 = 0.
1, 67
Find c such that c**3 - 7*c**2 + 36 = 0.
-2, 3, 6
Factor -2*s**4/3 + 22*s**3/3 + 28*s**2.
-2*s**2*(s - 14)*(s + 3)/3
Factor 2*b**3/9 - 604*b**2/9 - 1838*b/9 + 2440/9.
2*(b - 305)*(b - 1)*(b + 4)/9
Let 4*k**3 + 36*k**2 + 60*k + 28 = 0. What is k?
-7, -1
Suppose -k**4 - 4*k**3 + 4*k**2 + 16*k = 0. Calculate k.
-4, -2, 0, 2
Find h such that 6*h**4 - 15*h**3 - 69*h**2 - 30*h = 0.
-2, -1/2, 0, 5
Factor 2*o**4/5 + 18*o**3/5 + 58*o**2/5 + 78*o/5 + 36/5.
2*(o + 1)*(o + 2)*(o + 3)**2/5
Factor -c**4/12 + 3*c**3/4 - 5*c**2/3.
-c**2*(c - 5)*(c - 4)/12
Find p, given that -4*p**2/5 + 356*p/5 - 696/5 = 0.
2, 87
Find t such that -4*t**4 - 1456*t**3 - 128040*t**2 + 814000*t - 684500 = 0.
-185, 1, 5
Factor -2*q**2 - 152*q + 154.
-2*(q - 1)*(q + 77)
Factor 2*k**3 + 14*k**2 + 32*k + 24.
2*(k + 2)**2*(k + 3)
Solve 5*l**5 - 550*l**4 + 15665*l**3 - 29700*l**2 + 14580*l = 0.
0, 1, 54
Factor 4*t**2/3 - 480*t - 2896/3.
4*(t - 362)*(t + 2)/3
Factor 3*z**2/4 + 213*z/2 + 15123/4.
3*(z + 71)**2/4
Factor -j**2 + 1810*j + 1811.
-(j - 1811)*(j + 1)
Find s, given that s**2/3 - s + 2/3 = 0.
1, 2
Determine c so that -2*c**4 - 32*c**3 + 98*c**2 + 488*c + 360 = 0.
-18, -2, -1, 5
Let -l**2/2 - 5*l + 11/2 = 0. What is l?
-11, 1
Find d, given that -2*d**5 + 40*d**4 + 138*d**3 = 0.
-3, 0, 23
Factor 2*t**2 + 11520*t + 11518.
2*(t + 1)*(t + 5759)
What is h in 5*h**2 + 120*h - 125 = 0?
-25, 1
Factor -d**2/7 - 25*d/7 + 186/7.
-(d - 6)*(d + 31)/7
What is c in c**5 - c**4 - 7*c**3 + 13*c**2 - 6*c = 0?
-3, 0, 1, 2
Factor 5*c**5 + 425*c**4 + 9240*c**3 + 8820*c**2.
5*c**2*(c + 1)*(c + 42)**2
What is x in x**5/2 - 3*x**4 + 3*x**3/2 + 5*x**2 = 0?
-1, 0, 2, 5
Factor -4*y**2/5 - 1608*y/5 - 1604/5.
-4*(y + 1)*(y + 401)/5
Factor -3*x**3 - 3*x**2 + 48*x - 60.
-3*(x - 2)**2*(x + 5)
Factor -2*m**3 + 180*m**2 - 5400*m + 54000.
-2*(m - 30)**3
Find o, given that o**4 - o**3/5 - 29*o**2/5 - 7*o - 12/5 = 0.
-1, -4/5, 3
Factor -2*q**2 + 144*q.
-2*q*(q - 72)
Let -z**5/8 + 231*z**4/8 - 6255*z**3/4 - 47783*z**2/4 - 210273*z/8 - 127449/8 = 0. Calculate z.
-3, -1, 119
Determine p, given that -3*p**3/4 + 93*p**2/2 + 189*p/4 = 0.
-1, 0, 63
Let -s**2/6 - 85*s/3 - 56 = 0. What is s?
-168, -2
Factor 2*k**3 + 194*k**2 - 200*k - 392.
2*(k - 2)*(k + 1)*(k + 98)
Factor -2*m**5 + 56*m**4 - 104*m**3 - 4*m**2 + 106*m - 52.
-2*(m - 26)*(m - 1)**3*(m + 1)
Factor 3*a**2/4 + 870*a + 3477/4.
3*(a + 1)*(a + 1159)/4
Determine p, given that -5*p**5/3 + 35*p**4/3 + 515*p**3/3 - 1715*p**2/3 + 390*p = 0.
-9, 0, 1, 2, 13
Solve 3*s**4 + 96*s**3 = 0 for s.
-32, 0
Factor -3*j**2 + 717*j.
-3*j*(j - 239)
Factor 2*t**3 + 84*t**2 + 832*t + 1344.
2*(t + 2)*(t + 12)*(t + 28)
Determine d, given that -3*d**3/7 - 9*d**2 - 117*d/7 - 57/7 = 0.
-19, -1
Suppose -v**4/2 + 3*v**3 + v**2/2 - 3*v = 0. What is v?
-1, 0, 1, 6
Factor 2*l**3/13 + 192*l**2/13 + 370*l/13 - 564/13.
2*(l - 1)*(l + 3)*(l + 94)/13
Factor -1424*z**3/5 + 572*z**2 - 1448*z/5 + 12/5.
-4*(z - 1)**2*(356*z - 3)/5
Suppose -4*a**3 + 252*a**2 + 1636*a + 1380 = 0. Calculate a.
-5, -1, 69
Factor -4*h**5 + 52*h**4 - 240*h**3 + 512*h**2 - 512*h + 192.
-4*(h - 6)*(h - 2)**3*(h - 1)
Find z such that -2*z**3/9 - 6*z**2 - 388*z/9 - 64 = 0.
-16, -9, -2
Factor -66*s**2/5 + 2*s + 4/5.
-2*(3*s - 1)*(11*s + 2)/5
Factor -2*b**2 - 18312*b - 41916168.
-2*(b + 4578)**2
Determine m, given that 2*m**2/7 - 328*m/7 = 0.
0, 164
Factor -5*v**2 + 235*v + 490.
-5*(v - 49)*(v + 2)
Let 105*w**5 - 305*w**4 - 10*w**3 + 340*w**2 + 120*w = 0. What is w?
-2/3, -3/7, 0, 2
Factor -f**2/2 - 623*f/2.
-f*(f + 623)/2
Factor 12*o**2 - 1720*o - 1152.
4*(o - 144)*(3*o + 2)
Factor 2*g**4 + 14*g**3 + 8*g**2 - 24*g.
2*g*(g - 1)*(g + 2)*(g + 6)
What is b in -2*b**3/13 + 4*b**2/13 + 8*b/13 - 16/13 = 0?
-2, 2
Factor 3*l**5 - 54*l**4 + 186*l**3 - 264*l**2 + 171*l - 42.
3*(l - 14)*(l - 1)**4
Solve -w**2/5 - 28*w/5 - 27/5 = 0.
-27, -1
Let 18*o**2/5 - 2*o/5 - 16/5 = 0. What is o?
-8/9, 1
Suppose -8*h**5/11 + 26*h**4/11 - 8*h**3/11 - 24*h**2/11 = 0. Calculate h.
-3/4, 0, 2
Suppose -m**3/3 - 52*m**2/3 - 100*m/3 = 0. What is m?
-50, -2, 0
Determine d so that -84*d**5 + 8*d**4 + 84*d**3 - 8*d**2 = 0.
-1, 0, 2/21, 1
Let 4*y**3 + 1464*y**2 + 2916*y + 1456 = 0. Calculate y.
-364, -1
Solve -t**3/3 - 59*t**2/3 + 121*t/3 - 61/3 = 0 for t.
-61, 1
Factor 12*m**4 + 81*m**3 + 171*m**2 + 96*m - 36.
3*(m + 2)**2*(m + 3)*(4*m - 1)
Factor 4*o**2 - 1581*o + 395.
(o - 395)*(4*o - 1)
Solve -2*q**3 - 490*q**2 - 28224*q + 222264 = 0 for q.
-126, 7
Suppose -9*p**2 + 255*p - 84 = 0. Calculate p.
1/3, 28
Determine y so that 3*y**4/4 - 120*y**3 - 489*y**2 - 492*y = 0.
-2, 0, 164
Factor o**4 + 59*o**3 + 1050*o**2 + 5252*o + 6760.
(o + 2)*(o + 5)*(o + 26)**2
Factor -t**5 + 195*t**4 - 9795*t**3 + 28225*t**2 - 27840*t + 9216.
-(t - 96)**2*(t - 1)**3
Factor 3*u**4 - 21*u**3 + 12*u**2 + 36*u.
3*u*(u - 6)*(u - 2)*(u + 1)
Factor 15*a**2 - 845*a + 280.
5*(a - 56)*(3*a - 1)
Determine x so that 4*x**5 - 732*x**4 + 35964*x**3 - 227428*x**2 + 470976*x - 278784 = 0.
1, 3, 88
Factor k**3 - 119*k**2 + 564*k + 684.
(k - 114)*(k - 6)*(k + 1)
What is c in 2*c**4/5 + 36*c**3/5 - 144*c**2/5 - 324*c/5 + 1134/5 = 0?
-21, -3, 3
Factor -50*v**2/11 - 1040*v/11 + 424/11.
-2*(5