 3*c**3 - 12*c**2 + 15*c - 6 = 0.
1, 2
Factor x**3/6 + 13*x**2/12 + 2*x + 3/4.
(x + 3)**2*(2*x + 1)/12
Factor 5*n**4 - 335*n**3 + 7245*n**2 - 44965*n - 121670.
5*(n - 23)**3*(n + 2)
Factor 3*t**5 - 48*t**4 + 234*t**3 - 336*t**2 + 147*t.
3*t*(t - 7)**2*(t - 1)**2
Find d such that 2*d**5 + 132*d**4 + 2544*d**3 + 12256*d**2 + 22560*d + 14400 = 0.
-30, -2
Determine v, given that -2*v**5 + 6*v**4 - 6*v**3 + 2*v**2 = 0.
0, 1
What is y in -2*y**2/7 - 58*y/7 + 684/7 = 0?
-38, 9
Find z, given that 4*z**5/5 - 22*z**4/5 + 22*z**3/5 + 6*z**2 - 18*z/5 = 0.
-1, 0, 1/2, 3
Factor t**4/4 + 3*t**3 + 15*t**2/2 + 7*t + 9/4.
(t + 1)**3*(t + 9)/4
Factor -4*f**2 + 32*f - 28.
-4*(f - 7)*(f - 1)
Factor 4*v**4 - 28*v**3 + 24*v**2.
4*v**2*(v - 6)*(v - 1)
Suppose 4*c**3 - 80*c**2 + 316*c - 240 = 0. What is c?
1, 4, 15
Factor 4*q**2/7 + 68*q/7 - 240/7.
4*(q - 3)*(q + 20)/7
What is m in 3*m**4/2 + 12*m**3 - 33*m**2/2 - 27*m = 0?
-9, -1, 0, 2
Determine l, given that 6*l**3/5 - 108*l**2 + 522*l/5 + 1068/5 = 0.
-1, 2, 89
Factor -r**5/11 - 16*r**4/11 - 46*r**3/11 + 144*r**2/11 - 81*r/11.
-r*(r - 1)**2*(r + 9)**2/11
Factor 2*r**2/5 - 18*r/5.
2*r*(r - 9)/5
Determine o, given that -o**3/2 + o**2/2 + 7*o - 12 = 0.
-4, 2, 3
Find s, given that 2*s**2 - 5008*s + 3135008 = 0.
1252
What is x in x**3/4 - 9*x**2/4 - 21*x/4 - 11/4 = 0?
-1, 11
Suppose 2*x**2 - 60*x + 58 = 0. What is x?
1, 29
Find v, given that 3*v**2/7 - 624*v/7 + 32448/7 = 0.
104
What is a in -5*a**3 - 15*a**2 - 10*a = 0?
-2, -1, 0
Determine i so that 3*i**5 - 3399*i**4 + 964464*i**3 - 961068*i**2 = 0.
0, 1, 566
Suppose -2*l**5/3 + 14*l**4/3 - 14*l**3/3 - 38*l**2/3 + 32*l/3 + 40/3 = 0. Calculate l.
-1, 2, 5
Factor -k**5 + 23*k**4 + 50*k**3 + 2*k**2 - 49*k - 25.
-(k - 25)*(k - 1)*(k + 1)**3
Factor 2*a**3/21 - 16*a**2/21 - 6*a/7 + 48/7.
2*(a - 8)*(a - 3)*(a + 3)/21
Factor -2*i**3/9 - 2*i**2 - 10*i/3 - 14/9.
-2*(i + 1)**2*(i + 7)/9
Suppose z**4 + 203*z**3 - 1032*z**2 + 1660*z - 832 = 0. Calculate z.
-208, 1, 2
Factor -a**2/2 + 28*a - 55/2.
-(a - 55)*(a - 1)/2
Determine w so that -4*w**3 + 240*w**2 - 236*w = 0.
0, 1, 59
Suppose -q**4/4 + 3*q**3 - 37*q**2/4 + 21*q/2 - 4 = 0. What is q?
1, 2, 8
What is z in -2*z**2 - 26*z + 28 = 0?
-14, 1
Find t such that t**2/2 + 3*t + 5/2 = 0.
-5, -1
What is m in 58*m**5 - 178*m**4 + 70*m**3 + 170*m**2 - 128*m + 8 = 0?
-1, 2/29, 1, 2
Factor -2*p**4/9 - 8*p**3/3 - 14*p**2/3 - 20*p/9.
-2*p*(p + 1)**2*(p + 10)/9
Let 3*q**2/5 + 36*q/5 - 84/5 = 0. Calculate q.
-14, 2
Find t, given that 4*t**2 + 12*t - 72 = 0.
-6, 3
Let -c**3 - 17*c**2 - 14*c + 32 = 0. Calculate c.
-16, -2, 1
Solve -u**3/4 + u**2/2 + 19*u/4 - 5 = 0.
-4, 1, 5
Factor -12*w**3 + 9*w**2 + 3*w.
-3*w*(w - 1)*(4*w + 1)
Factor k**3 + 7*k**2 - 8*k.
k*(k - 1)*(k + 8)
Solve -4*a**3 - 12*a**2 + 4*a + 12 = 0 for a.
-3, -1, 1
Factor 2*l**3 + 50*l**2 + 224*l - 1176.
2*(l - 3)*(l + 14)**2
Factor l**2 - 20*l + 19.
(l - 19)*(l - 1)
What is q in 5*q**4 - 35*q**2 + 30*q = 0?
-3, 0, 1, 2
Factor 2*s**5 + 28*s**4 - 222*s**3 + 360*s**2.
2*s**2*(s - 3)**2*(s + 20)
What is w in -2*w**4/17 + 2*w**3 - 196*w**2/17 + 440*w/17 - 336/17 = 0?
2, 6, 7
Factor -2*b**3 + 34*b**2 + 74*b + 38.
-2*(b - 19)*(b + 1)**2
Find x such that 2*x**4 - 16*x**3 + 38*x**2 - 24*x = 0.
0, 1, 3, 4
Factor -a**5 + a**4 + 2*a**3 - 2*a**2 - a + 1.
-(a - 1)**3*(a + 1)**2
Factor 2*i**3/3 + 6212*i**2/3 - 12430*i/3 + 2072.
2*(i - 1)**2*(i + 3108)/3
Determine n, given that -n**4/8 + 5*n**3/2 + 21*n**2/8 = 0.
-1, 0, 21
Suppose s**4 + 19*s**3 - 63*s**2 + 65*s - 22 = 0. Calculate s.
-22, 1
Suppose -2*n**3/3 + 74*n**2 - 2738*n + 101306/3 = 0. What is n?
37
Factor 13225*i**3/4 - 6555*i**2 - 459*i/4 - 1/2.
(i - 2)*(115*i + 1)**2/4
Suppose -4*t**2 - 304*t - 5776 = 0. Calculate t.
-38
Factor 3*f**3 - 18999*f**2 + 40106889*f - 28221880893.
3*(f - 2111)**3
Factor 2*o**2/5 + 50*o.
2*o*(o + 125)/5
Solve 4*q**4/3 + 380*q**3/3 + 3416*q**2 + 57728*q/3 + 77440/3 = 0 for q.
-44, -5, -2
Factor h**4/3 + 44*h**3/3 + 208*h**2 + 3280*h/3 + 4400/3.
(h + 2)*(h + 10)**2*(h + 22)/3
Factor 2*q**3 - 646*q**2.
2*q**2*(q - 323)
Let -3*a**3 + 312*a**2 + 1617*a + 1962 = 0. Calculate a.
-3, -2, 109
Suppose 2*y**5 + 10*y**4 - 40*y**2 - 32*y = 0. What is y?
-4, -2, -1, 0, 2
Let -7*m**4/4 + 149*m**3/4 - 217*m**2/2 + 91*m - 18 = 0. Calculate m.
2/7, 1, 2, 18
What is o in -16*o**5/7 + 12*o**4/7 + 48*o**3/7 - 4*o**2/7 - 24*o/7 = 0?
-1, 0, 3/4, 2
Factor -w**4/2 + 83*w**3/2 + 3*w**2/2 - 247*w/2 - 83.
-(w - 83)*(w - 2)*(w + 1)**2/2
Solve 4*z**3 - 548*z**2 + 2144*z - 2128 = 0 for z.
2, 133
Factor 2*p**4/5 - 24*p**3/5 - 2*p**2/5 + 24*p/5.
2*p*(p - 12)*(p - 1)*(p + 1)/5
Find r such that -4*r**3 - 372*r**2 - 696*r + 2912 = 0.
-91, -4, 2
Factor 2*w**4 + 422*w**3 - 852*w**2.
2*w**2*(w - 2)*(w + 213)
Let 3*g**4 + 348*g**3 - 1791*g**2 + 2892*g - 1452 = 0. What is g?
-121, 1, 2
Solve 4*h**5/3 - 22*h**4/3 + 4*h**3/3 + 122*h**2/3 - 188*h/3 + 80/3 = 0.
-5/2, 1, 2, 4
Suppose -h**4/6 - 7*h**3/6 - 8*h**2/3 - 2*h = 0. Calculate h.
-3, -2, 0
Solve v**4 + 75*v**3 + 216*v**2 - 4*v - 288 = 0 for v.
-72, -2, 1
Factor -4*i**4 - 224*i**3 - 4704*i**2 - 43904*i - 153664.
-4*(i + 14)**4
What is k in -k**4/6 - 61*k**3 - 11163*k**2/2 = 0?
-183, 0
Solve -4*l**5/3 + 48*l**4 - 188*l**3 - 1736*l**2/3 = 0.
-2, 0, 7, 31
Find n such that 3*n**5 + 174*n**4 - 1017*n**3 - 4548*n**2 - 660*n + 6048 = 0.
-63, -2, 1, 8
Suppose 2*b**5/7 - 468*b**4/7 + 3652*b**3/7 - 8136*b**2/7 - 54*b/7 + 12204/7 = 0. Calculate b.
-1, 3, 226
What is z in z**3/2 + 57*z**2 - 117*z/2 - 115 = 0?
-115, -1, 2
Solve -6*x**5 + 147*x**4 - 462*x**3 + 447*x**2 - 126*x = 0 for x.
0, 1/2, 1, 2, 21
Factor -5*p**5 - 30*p**4 + 20*p**3 + 440*p**2 + 960*p + 640.
-5*(p - 4)*(p + 2)**3*(p + 4)
Determine p, given that -p**4/5 + 13*p**3/5 + 29*p**2/5 + 3*p = 0.
-1, 0, 15
Let -8*y**4/11 + 78*y**3/11 - 178*y**2/11 + 108*y/11 = 0. What is y?
0, 1, 2, 27/4
Let -u**3/3 - 19*u**2 - 136*u + 12716/3 = 0. What is u?
-34, 11
Find o such that -5*o**3 + 125*o**2 + 130*o = 0.
-1, 0, 26
Determine w, given that -3*w**2/8 + 1239*w/2 - 511707/2 = 0.
826
Factor -6*m**2 + 1124*m + 752.
-2*(m - 188)*(3*m + 2)
Suppose -4*p**5/9 + 92*p**4/9 - 580*p**3/9 + 740*p**2/9 + 584*p/9 - 832/9 = 0. Calculate p.
-1, 1, 2, 8, 13
Factor -4*t**3 + 48*t**2 - 144*t.
-4*t*(t - 6)**2
Find g such that -g**2/3 + 5*g - 44/3 = 0.
4, 11
Factor -t**3/4 + 3*t**2/4 + 19*t + 33.
-(t - 11)*(t + 2)*(t + 6)/4
Find a, given that 5*a**5 - 57*a**4 + 222*a**3 - 320*a**2 + 96*a = 0.
0, 2/5, 3, 4
Let -2*z**3 + 50*z**2 - 286*z - 338 = 0. What is z?
-1, 13
Factor -4*d**4 + 36*d**3 + 4*d**2 - 36*d.
-4*d*(d - 9)*(d - 1)*(d + 1)
Suppose -2*z**2 + 814*z = 0. Calculate z.
0, 407
Factor -i**2/6 + i/6.
-i*(i - 1)/6
Factor t**4/2 - t**2/2.
t**2*(t - 1)*(t + 1)/2
Determine f so that 8*f**3 + 1772*f**2 + 884*f = 0.
-221, -1/2, 0
Factor -2*x**2/15 + 46*x/15 - 52/3.
-2*(x - 13)*(x - 10)/15
Solve -5*u**3 + 45*u**2 + 110*u = 0 for u.
-2, 0, 11
Find v such that -5*v**2 - 2135*v - 6360 = 0.
-424, -3
Find u such that -6*u**4 + 64*u**3/7 - 18*u**2/7 - 4*u/7 = 0.
-1/7, 0, 2/3, 1
Factor -2*c**2/3 - 1184*c/3.
-2*c*(c + 592)/3
Factor 5*r**4 - 20*r**3 - 185*r**2 - 340*r - 180.
5*(r - 9)*(r + 1)*(r + 2)**2
Solve -3*i**5 - 48*i**4 - 219*i**3 - 270*i**2 = 0 for i.
-9, -5, -2, 0
Factor -120*i**2 + 249*i - 18.
-3*(i - 2)*(40*i - 3)
Find b, given that -4*b**2 - 3992*b - 996004 = 0.
-499
Factor 2*n**3 - 16*n**2 - 1974*n + 29988.
2*(n - 21)**2*(n + 34)
Let x**2 - 2978*x + 2217121 = 0. What is x?
1489
Factor -3*h**2 + 11676*h - 11360748.
-3*(h - 1946)**2
Determine y, given that -y**3 - 10*y**2 + 672*y - 4896 = 0.
-34, 12
Factor -2*j**2 - 10672*j - 14236448.
-2*(j + 2668)**2
Solve 2*c**2 + 22*c - 52 = 0 for c.
-13, 2
What is t in 243*t**4 + 432*t**3 + 138*t**2 - 48*t + 3 = 0?
-1, 1/9
Factor -3*z**3/5 - 234*z**2/5 - 681*z/5 - 90.
-3*(z + 1)*(z + 2)*(z + 75)/5
Factor 5*k**2/3 + 20*k/3 - 20.
5*(k - 2)*(k + 6)/3
Solve -5*h**4/4 + 25*h**3/4 - 5*h**2 = 0.
0, 1, 4
Let 2*q**4 - 196*q**3 - 8*q**2 + 784*q = 0. What is q?
-2, 0, 2, 98
Solve -l**4/2 + 97*l**3/2 - 2303*l**2/2 - 2401*l/2 = 0.
-1, 0, 49
Factor -3*o**3 + 24*o**2 + 69*o - 90.
-3*(o - 10)*(o - 1)*(o + 3)
Let -6*n**2/11 + 36*n/11 - 54/11 = 0. Calculate n.
3
Factor -5*h**5 - 25*h**4 - 40*h**3 - 20*h**2.
-5*h**2*(h + 1)*(h + 2)**2
What is i in 5*i**3 + 80*i