4*l**2/5 - 204*l/5 + 144 = 0.
-2/5, 3/7, 20/9
Factor 3*z**3 - 30*z**2 + 51*z - 24.
3*(z - 8)*(z - 1)**2
What is x in -20*x**5 + 440*x**4 - 1545*x**3 + 1945*x**2 - 1000*x + 180 = 0?
1/2, 1, 2, 18
Solve -4*n**2 - 60*n - 56 = 0 for n.
-14, -1
Find u such that 3*u**4 - 18*u**3 - 36*u**2 + 264*u - 288 = 0.
-4, 2, 6
Find q such that -24*q**5 + 66*q**4 - 15*q**3 - 60*q**2 + 39*q - 6 = 0.
-1, 1/4, 1/2, 1, 2
Find o, given that 2*o**2/5 - 186*o/5 - 188/5 = 0.
-1, 94
Factor -5*k**4/2 + 60*k**3 - 295*k**2 - 780*k - 845/2.
-5*(k - 13)**2*(k + 1)**2/2
Solve 48*d**5 - 48*d**4 - 3*d**3 + 3*d**2 = 0.
-1/4, 0, 1/4, 1
Determine w, given that -2*w**3/9 - 2*w**2/9 + 46*w/3 + 42 = 0.
-7, -3, 9
What is r in -5*r**5 + 30*r**4 - 45*r**3 - 20*r**2 + 60*r = 0?
-1, 0, 2, 3
Factor -y**2/2 - 111*y/4 + 14.
-(y + 56)*(2*y - 1)/4
Factor -4*x**5 + 120*x**4 - 1064*x**3 + 1232*x**2 + 13068*x + 10648.
-4*(x - 11)**3*(x + 1)*(x + 2)
Let 32*h**3/21 - 1648*h**2/21 + 21218*h/21 = 0. Calculate h.
0, 103/4
Suppose -58*i**5 - 166*i**4 + 1358*i**3 - 2098*i**2 + 1076*i - 112 = 0. Calculate i.
-7, 4/29, 1, 2
Factor -q**3/3 - 2*q**2/3 - q/3.
-q*(q + 1)**2/3
What is h in -h**3/4 - 13*h**2/2 - 179*h/4 - 77/2 = 0?
-14, -11, -1
Factor z**3/7 + 11*z**2/7 - 26*z/7.
z*(z - 2)*(z + 13)/7
Solve 4*w**3/7 + 116*w**2/7 + 128*w + 112 = 0 for w.
-14, -1
Factor -2*w**2/3 + 1060*w/3 + 1066.
-2*(w - 533)*(w + 3)/3
Factor -5*p**2 + 5.
-5*(p - 1)*(p + 1)
Solve -t**5 - t**4 + t**3 + t**2 = 0.
-1, 0, 1
Factor -3*x**4/2 - 6*x**3 + 45*x**2/2 + 27*x.
-3*x*(x - 3)*(x + 1)*(x + 6)/2
Factor -6*r**2 + 124*r/9 - 32/9.
-2*(r - 2)*(27*r - 8)/9
Suppose -4*w**3/5 - 1236*w**2/5 - 127308*w/5 - 4370908/5 = 0. What is w?
-103
Factor -9*a**3 + 244*a**2/3 - 3*a.
-a*(a - 9)*(27*a - 1)/3
Factor -5*a**3/3 - 1913*a**2/3 - 183551*a/3 - 36481.
-(a + 191)**2*(5*a + 3)/3
Suppose c**5/4 - 3*c**4/2 + 3*c**3/4 + 5*c**2/2 = 0. What is c?
-1, 0, 2, 5
Factor s**4 + 1668*s**3 + 927408*s**2 + 171879616*s.
s*(s + 556)**3
Suppose x**3/5 + 16*x**2/5 = 0. What is x?
-16, 0
Solve -16*i**3 - 156*i**2 + 216*i - 44 = 0.
-11, 1/4, 1
Factor -k**2/5 - 54*k/5.
-k*(k + 54)/5
Let 2*d**4 + 130*d**3 = 0. What is d?
-65, 0
Factor 2*g**3/7 + 1656*g**2/7 + 49206*g + 97468.
2*(g + 2)*(g + 413)**2/7
Factor -5*m**2 - 280*m.
-5*m*(m + 56)
Solve 3*l**4 + 3144*l**3 + 820578*l**2 - 1650600*l + 826875 = 0 for l.
-525, 1
Factor 3*v**2 + 13662*v + 15554187.
3*(v + 2277)**2
Factor 5*r**3 - 40*r**2 + 45*r + 90.
5*(r - 6)*(r - 3)*(r + 1)
What is u in 6*u**3/7 - 296*u**2/7 + 3840*u/7 - 4608/7 = 0?
4/3, 24
Suppose 3*q**3 + 27*q**2/2 - 51*q/2 + 9 = 0. What is q?
-6, 1/2, 1
Suppose x**4/5 + 78*x**3/5 + 1353*x**2/5 - 6724*x/5 = 0. Calculate x.
-41, 0, 4
Solve 2*a**4 - 58*a**3 - 1860*a**2 - 11800*a - 10000 = 0.
-10, -1, 50
Let 20*r**4 + 165*r**3 - 1145*r**2 - 3090*r - 1800 = 0. Calculate r.
-12, -5/4, -1, 6
What is b in -21*b**3/2 - 81*b**2 - 99*b/2 + 21 = 0?
-7, -1, 2/7
Find x such that -2*x**5/7 - 12*x**4/7 - 2*x**3/7 + 48*x**2/7 + 40*x/7 = 0.
-5, -2, -1, 0, 2
Suppose -2*m**4 - 70*m**3 - 642*m**2 - 442*m + 1156 = 0. What is m?
-17, -2, 1
Let -4*y**5/3 + 1064*y**4/3 - 70756*y**3/3 = 0. What is y?
0, 133
What is o in 3*o**5 + 378*o**4 - 6*o**3 - 756*o**2 + 3*o + 378 = 0?
-126, -1, 1
Find p such that -p**3/5 - 127*p**2/5 + 394*p/5 + 104 = 0.
-130, -1, 4
Factor 361*i**2 - 684*i + 324.
(19*i - 18)**2
Factor -3*z**4 - 114*z**3 - 741*z**2 - 630*z.
-3*z*(z + 1)*(z + 7)*(z + 30)
Determine m so that 4*m**3 + 44*m**2 + 40*m = 0.
-10, -1, 0
Factor 105*j**3 - 2007*j**2 + 216*j + 228.
3*(j - 19)*(5*j - 2)*(7*j + 2)
Find b, given that b**3/2 - 3*b**2 + 11*b/2 - 3 = 0.
1, 2, 3
Factor -r**3 + 11*r**2 - 26*r + 16.
-(r - 8)*(r - 2)*(r - 1)
Factor -m**3/4 - 5*m**2/2 + 11*m/4.
-m*(m - 1)*(m + 11)/4
Determine f so that -2*f**3 + 84*f**2 = 0.
0, 42
Factor 3*o**4/2 + 11*o**3 - 113*o**2/2 + 44*o.
o*(o - 1)*(o + 11)*(3*o - 8)/2
Find n, given that -4*n**4 - 92*n**3 - 480*n**2 + 576*n = 0.
-12, 0, 1
Find l, given that -28*l**5 - 148*l**4 - 124*l**3 + 116*l**2 + 152*l + 32 = 0.
-4, -1, -2/7, 1
Find i, given that -7*i**5 - 16*i**4 + 31*i**3 + 52*i**2 + 12*i = 0.
-3, -1, -2/7, 0, 2
Solve 2*t**4/5 + 2*t**3/5 - 12*t**2 + 152*t/5 - 112/5 = 0 for t.
-7, 2
Determine p, given that 5*p**4/4 - 65*p**3/4 + 75*p**2/4 + 1625*p/4 - 1250 = 0.
-5, 5, 8
Determine d so that -d**4/6 - 2*d**3/3 - 5*d**2/6 - d/3 = 0.
-2, -1, 0
Factor r**2/2 + 2288*r + 2617472.
(r + 2288)**2/2
Factor -5*d**2 + 635*d + 2620.
-5*(d - 131)*(d + 4)
Factor -2*h**4 - 6*h**3 + 6*h**2 + 22*h + 12.
-2*(h - 2)*(h + 1)**2*(h + 3)
Factor 2*l**3/5 - 932*l**2/5 - 2814*l/5.
2*l*(l - 469)*(l + 3)/5
What is r in -r**5/3 - 31*r**4/6 + 11*r**3/3 + 97*r**2/6 + 7*r/3 - 16/3 = 0?
-16, -1, 1/2, 2
Factor -4*a**3 + 108*a**2 + 112*a.
-4*a*(a - 28)*(a + 1)
Find q, given that 5*q**4 - 15*q**2 - 10*q = 0.
-1, 0, 2
Factor 15*c**2 + 580*c + 380.
5*(c + 38)*(3*c + 2)
Factor -5*z**3 + 170*z**2 - 615*z + 450.
-5*(z - 30)*(z - 3)*(z - 1)
Suppose 2*k**3 - 14*k**2 - 208*k - 480 = 0. What is k?
-4, 15
Find n such that -4*n**2 - 1656*n + 1660 = 0.
-415, 1
Determine w, given that 3*w**2 - 2088*w + 363312 = 0.
348
Factor 4*y**2/3 + 28*y/3 + 8.
4*(y + 1)*(y + 6)/3
Find b such that -6*b**3 + 13*b**2 - 2*b = 0.
0, 1/6, 2
Factor 2*p**3/7 - 2*p**2/7 - 80*p/7 + 32.
2*(p - 4)**2*(p + 7)/7
Find q, given that -6*q**5/17 + 44*q**4/17 - 10*q**3/17 - 28*q**2/17 = 0.
-2/3, 0, 1, 7
Suppose -3*m**4 + 651*m**3 - 46647*m**2 + 1071129*m + 2334102 = 0. What is m?
-2, 73
Factor 5*y**3 + 55*y**2 - 1725*y - 21375.
5*(y - 19)*(y + 15)**2
Factor 2*f**3/9 + 40*f**2/9 - 2*f/9 - 40/9.
2*(f - 1)*(f + 1)*(f + 20)/9
Factor -12*i**3 - 44*i**2 + 160*i - 48.
-4*(i - 2)*(i + 6)*(3*i - 1)
Factor 4*t**2 - 64*t + 192.
4*(t - 12)*(t - 4)
Factor 4*c**4 - 12*c**3 - 112*c**2.
4*c**2*(c - 7)*(c + 4)
Factor -5*y**2 - 20*y - 20.
-5*(y + 2)**2
Factor -2*z**3/3 + 10*z**2 + 22*z - 1694/3.
-2*(z - 11)**2*(z + 7)/3
Factor -2*d**3 + 12*d**2 + 134*d + 120.
-2*(d - 12)*(d + 1)*(d + 5)
Factor 5*g**4 + 50*g**3 + 165*g**2 + 200*g + 80.
5*(g + 1)**2*(g + 4)**2
Find y, given that 2*y**3 - 12*y**2 - 14*y = 0.
-1, 0, 7
Factor 3*l**4 + 63*l**3 - 210*l**2 + 144*l.
3*l*(l - 2)*(l - 1)*(l + 24)
Suppose -2*b**3 - 436*b**2 - 23762*b = 0. Calculate b.
-109, 0
Factor -3*o**3 - 18*o**2 - 33*o - 18.
-3*(o + 1)*(o + 2)*(o + 3)
Factor -4*r**5/7 + 40*r**4/7 + 208*r**3/7 + 32*r**2.
-4*r**2*(r - 14)*(r + 2)**2/7
Find g, given that 5*g**4 + 70*g**3 + 235*g**2 + 50*g - 360 = 0.
-9, -4, -2, 1
Let 2*a**5/5 - 18*a**4/5 - 114*a**3/5 + 26*a**2 = 0. Calculate a.
-5, 0, 1, 13
What is q in q**2 + 4*q - 12 = 0?
-6, 2
Factor -2*q**3/7 + 4*q**2/7 + 8*q/7 - 16/7.
-2*(q - 2)**2*(q + 2)/7
Find c, given that -2*c**4/15 - 62*c**3/15 + 172*c**2/5 - 128*c/3 - 1216/15 = 0.
-38, -1, 4
Determine y so that -4*y**4/7 + 24*y**3/7 + 292*y**2/7 - 24*y/7 - 288/7 = 0.
-6, -1, 1, 12
Factor -2*u**2/11 - 58*u/11.
-2*u*(u + 29)/11
Let -5*w**2/4 + 955*w/4 - 945/2 = 0. Calculate w.
2, 189
Factor 5*y**2 + 10*y - 15.
5*(y - 1)*(y + 3)
Let 35*x**4/4 + 149*x**3/4 + 139*x**2/4 + 19*x/4 - 3/2 = 0. Calculate x.
-3, -1, -2/5, 1/7
Factor n**5 - 2*n**4 + 2*n**2 - n.
n*(n - 1)**3*(n + 1)
Find y such that -2197*y**4/3 + 507*y**3 - 117*y**2 + 9*y = 0.
0, 3/13
Factor m**2/3 - 36*m - 220/3.
(m - 110)*(m + 2)/3
Factor d**2/6 - 83*d/3 + 6889/6.
(d - 83)**2/6
Find k, given that 48*k**2 + 266*k + 296 = 0.
-4, -37/24
Suppose -6*s**3/7 - 12*s**2/7 + 48*s/7 = 0. What is s?
-4, 0, 2
Factor 10*t**4 - 165*t**3 - 85*t**2.
5*t**2*(t - 17)*(2*t + 1)
Suppose -6*f**4 - 38*f**3 - 84*f**2 - 72*f - 16 = 0. Calculate f.
-2, -1/3
Factor 18*i**4/7 - 148*i**3/7 + 240*i**2/7.
2*i**2*(i - 6)*(9*i - 20)/7
Factor -d**4/3 - 5*d**3.
-d**3*(d + 15)/3
Let -r**4/3 - 2*r**3/3 - r**2/3 = 0. Calculate r.
-1, 0
Suppose 2*z**3/5 + 46*z**2/5 + 84*z/5 = 0. What is z?
-21, -2, 0
Determine l, given that -2*l**3/5 - 1548*l**2/5 - 399384*l/5 - 34347024/5 = 0.
-258
Let 8*r**4/5 - 47*r**3/5 + 34*r**2/5 + r = 0. What is r?
-1/8, 0, 1, 5
Suppose 8*p**3/11 - 494*p**2/11 + 7564*p/11 + 1922/11 = 0. Calculate p.
-1/4, 31
Find y, given that -4*y**5/3 + 112*y**4/3 + 4*y**3/3 - 112*y**2/3 = 0.
-1, 0, 1, 28
Determine v, given that 5*v**2 + 780*v + 6615 = 0.
-147, -9
Let -26*u**3/5 + 144*u**2/5 + 254*u/5 + 84/5 = 0. Calculate u.
-1, -6/13, 7
Factor -5*u**3/4