4 - 11/2.
-(d - 1)*(d + 11)*(5*d - 2)/4
Determine p so that p**3/4 - 27*p**2/4 - p/4 + 27/4 = 0.
-1, 1, 27
Factor g**4/5 - 44*g**3 + 3630*g**2 - 133100*g + 1830125.
(g - 55)**4/5
Factor 3*x**2/4 + 189*x/4 - 735/2.
3*(x - 7)*(x + 70)/4
Find v such that 6*v**2/7 - 120*v/7 + 216/7 = 0.
2, 18
Factor 2*z**4/5 + 18*z**3 - 92*z**2/5.
2*z**2*(z - 1)*(z + 46)/5
Factor 2*p**3/5 + 6098*p**2/5 + 6096*p/5.
2*p*(p + 1)*(p + 3048)/5
Factor 9*k**3/2 + 493*k**2 + 541*k/2 - 218.
(k + 1)*(k + 109)*(9*k - 4)/2
Determine x, given that 2*x**4 + 28*x**3 + 72*x**2 + 68*x + 22 = 0.
-11, -1
Suppose -s**4 + 5*s**3 + 217*s**2 + 931*s = 0. Calculate s.
-7, 0, 19
Let j**2 - 54*j - 792 = 0. Calculate j.
-12, 66
Find w such that -15*w**5 - 260*w**4 - 1255*w**3 - 1350*w**2 + 2080*w + 800 = 0.
-10, -4, -1/3, 1
Factor -25*t**3 - 60*t**2 - 20*t.
-5*t*(t + 2)*(5*t + 2)
Determine v so that -v**4 + 1371*v**3 + 4120*v**2 + 2748*v = 0.
-2, -1, 0, 1374
Determine i, given that i**3/3 + 9*i**2 + 62*i + 272/3 = 0.
-17, -8, -2
What is k in -5*k**4 + 110*k**3 - 100*k**2 - 110*k + 105 = 0?
-1, 1, 21
Let d**5 - 16*d**3 - 38*d**2 - 33*d - 10 = 0. Calculate d.
-2, -1, 5
What is p in p**5/9 - 457*p**4/9 + 52891*p**3/9 - 51529*p**2/3 = 0?
0, 3, 227
Find h such that 5*h**3 - 950*h**2 + 46060*h - 88360 = 0.
2, 94
Factor -3*s**2 - 162*s + 165.
-3*(s - 1)*(s + 55)
Suppose 4*a**2 - 144*a + 1296 = 0. What is a?
18
Determine f so that 3*f**4 - 12*f**3 - 48*f**2 + 48*f + 144 = 0.
-2, 2, 6
Factor -3*w**2 + 30*w + 33.
-3*(w - 11)*(w + 1)
Factor 5324*r**5 + 150524*r**4 + 1084292*r**3 + 288292*r**2 + 25984*r + 784.
4*(r + 14)**2*(11*r + 1)**3
Solve -5*f**3/3 - 220*f**2/3 - 875*f - 1470 = 0.
-21, -2
Factor 10*b**5 - 55*b**4 + 60*b**3 + 45*b**2.
5*b**2*(b - 3)**2*(2*b + 1)
Suppose 2*g**4/3 + 58*g**3 - 178*g**2/3 - 58*g + 176/3 = 0. What is g?
-88, -1, 1
Solve k**4 - 11*k**3 + 39*k**2 - 49*k + 20 = 0 for k.
1, 4, 5
Determine f, given that 2*f**2/5 - 192*f/5 - 194/5 = 0.
-1, 97
Factor 2*j**4 + 4*j**3 - 54*j**2 - 216*j - 216.
2*(j - 6)*(j + 2)*(j + 3)**2
Factor 4*y**2 - 380*y.
4*y*(y - 95)
Suppose 3*p**4 - 81*p**3 + 225*p**2 - 219*p + 72 = 0. What is p?
1, 24
Factor 3*w**3/4 - 9*w**2/2 + 27*w/4 - 3.
3*(w - 4)*(w - 1)**2/4
Find h, given that h**2/5 + 21*h/5 - 22/5 = 0.
-22, 1
Determine k, given that k**4/6 - 5*k**3/6 - 13*k**2/6 - 7*k/6 = 0.
-1, 0, 7
Factor 5*a**4 + 27*a**3 + 45*a**2 + 29*a + 6.
(a + 1)**2*(a + 3)*(5*a + 2)
Let -2*l**4/7 - 2*l**3/7 + 216*l**2/7 - 160*l + 1664/7 = 0. What is l?
-13, 4
Factor -i**3 - 4*i**2 - i + 6.
-(i - 1)*(i + 2)*(i + 3)
Let 2*m**2 - 296*m - 3160 = 0. What is m?
-10, 158
Factor o**5 + 10*o**4 + 36*o**3 + 58*o**2 + 43*o + 12.
(o + 1)**3*(o + 3)*(o + 4)
Factor 16900*t**4 + 68640*t**3 + 71776*t**2 + 4224*t + 64.
4*(t + 2)**2*(65*t + 2)**2
Determine y so that -2*y**4/11 + 30*y**3/11 - 52*y**2/11 = 0.
0, 2, 13
Solve 4*u**5/5 - 32*u**4/5 - 28*u**3 + 1048*u**2/5 + 1792*u/5 - 6272/5 = 0.
-4, 2, 7
Let j**4/7 - 5*j**3 + 157*j**2/7 - 213*j/7 + 90/7 = 0. What is j?
1, 3, 30
Find k such that -50*k**4/19 - 90*k**3/19 + 662*k**2/19 - 654*k/19 + 180/19 = 0.
-5, 3/5, 2
Factor 5*u**5 + 45*u**4 - 390*u**3 + 860*u**2 - 600*u.
5*u*(u - 2)**3*(u + 15)
Factor 4*x**4 + 28*x**3 + 12*x**2 - 252*x - 432.
4*(x - 3)*(x + 3)**2*(x + 4)
Let 3*m**4/2 - 1371*m**2/2 - 6084*m - 5400 = 0. What is m?
-12, -1, 25
Factor 54*i**2 - 135*i/8 - 3/8.
3*(3*i - 1)*(48*i + 1)/8
Suppose 2*w**3/9 - 16*w**2/9 - 40*w/9 = 0. What is w?
-2, 0, 10
Factor 2*g**2/5 + 98*g/5 + 96/5.
2*(g + 1)*(g + 48)/5
Find l, given that -6*l**4/11 + 24*l**3/11 + 186*l**2/11 - 420*l/11 = 0.
-5, 0, 2, 7
Determine b, given that -4*b**4 + 72*b**3 - 124*b**2 - 72*b + 128 = 0.
-1, 1, 2, 16
What is l in 2*l**4 - 98*l**3/3 - 2962*l**2/9 - 2702*l/3 - 784 = 0?
-3, -7/3, 24
Factor -2*q**3/7 + 2*q**2/7.
-2*q**2*(q - 1)/7
Factor -5*f**3 - 310*f**2 - 4805*f.
-5*f*(f + 31)**2
Solve 3*c**4/5 + 12*c**3/5 - 147*c**2/5 + 312*c/5 - 36 = 0.
-10, 1, 2, 3
Factor 2*s**4/9 - 2*s**3/9 - 2*s**2/3 + 10*s/9 - 4/9.
2*(s - 1)**3*(s + 2)/9
Find c, given that c**3/3 + 115*c**2/3 + 776*c + 4368 = 0.
-91, -12
Suppose o**3/2 - 33*o**2 + 510*o + 1156 = 0. What is o?
-2, 34
Factor 2*h**3/11 + 1434*h**2/11 - 2874*h/11 + 1438/11.
2*(h - 1)**2*(h + 719)/11
Factor 5*y**2 + 115*y - 250.
5*(y - 2)*(y + 25)
Suppose -t**5 - 15*t**4 - 39*t**3 + 55*t**2 = 0. Calculate t.
-11, -5, 0, 1
Find z, given that 5*z**2 - 7650*z + 2926125 = 0.
765
Factor -p**3/9 + 134*p**2/9 - 88*p/3.
-p*(p - 132)*(p - 2)/9
Solve 3*x**5 - 6*x**4 - 21*x**3 + 24*x**2 + 36*x = 0.
-2, -1, 0, 2, 3
Suppose 2*o**4/5 - 12*o**3/5 - 126*o**2/5 - 208*o/5 - 96/5 = 0. Calculate o.
-4, -1, 12
Factor -27*q**5/2 - 2*q**4.
-q**4*(27*q + 4)/2
Let -3*m**3 - 3*m**2 + 3*m + 3 = 0. What is m?
-1, 1
Suppose 2*o**4/3 + 12*o**3 - 82*o**2/3 - 12*o + 80/3 = 0. Calculate o.
-20, -1, 1, 2
What is l in l**3 + 26*l**2 + 144*l = 0?
-18, -8, 0
Let -5*w**2 + 90*w - 225 = 0. What is w?
3, 15
Factor 5*j**2 + 195*j - 200.
5*(j - 1)*(j + 40)
Suppose 5*d**3 + 985*d**2 - 1985*d + 995 = 0. What is d?
-199, 1
Let -3*d**5 + 348*d**4 + 354*d**3 - 348*d**2 - 351*d = 0. What is d?
-1, 0, 1, 117
Factor u**3/2 - 89*u**2/2 - 45*u.
u*(u - 90)*(u + 1)/2
Suppose -9*t**2/7 + 5154*t/7 - 3432/7 = 0. Calculate t.
2/3, 572
What is p in -4*p**2/7 - 64*p/7 - 60/7 = 0?
-15, -1
Determine q so that 2*q**4 + 58*q**3 - 122*q**2 + 62*q = 0.
-31, 0, 1
Factor -4*u**4 - 10*u**3 + 8*u**2 + 6*u.
-2*u*(u - 1)*(u + 3)*(2*u + 1)
Factor -4*h**3 + 36*h**2 + 84*h + 44.
-4*(h - 11)*(h + 1)**2
Determine n so that -2*n**3/5 + 1334*n**2/15 - 148*n/5 = 0.
0, 1/3, 222
Let 2*n**2 - 104*n/5 + 8 = 0. What is n?
2/5, 10
Factor o**2/4 - 3*o/4 - 9/2.
(o - 6)*(o + 3)/4
Factor -5*c**3/2 - 410*c**2.
-5*c**2*(c + 164)/2
Let 4*n**3 - 32*n**2 + 84*n - 72 = 0. What is n?
2, 3
Find f, given that -2*f**5 + 166*f**4 + 340*f**3 + 4*f**2 - 338*f - 170 = 0.
-1, 1, 85
Factor h**2/2 + 258*h + 33282.
(h + 258)**2/2
Factor -3*y**3/2 - 273*y**2 + 1101*y/2 - 276.
-3*(y - 1)**2*(y + 184)/2
Solve 1050*q**4 - 9*q**3 - 1050*q**2 + 9*q = 0 for q.
-1, 0, 3/350, 1
Solve -5*u**4/3 + 103*u**3/3 - 148*u**2/3 - 76*u/3 = 0 for u.
-2/5, 0, 2, 19
Determine y so that -81*y**5/2 + 1665*y**4/2 - 3836*y**3 - 1830*y**2 - 208*y = 0.
-2/9, 0, 8, 13
Solve 18*p**3 + 8*p**2 = 0 for p.
-4/9, 0
Factor -2*i**5 - 18*i**4 + 92*i**3 - 148*i**2 + 102*i - 26.
-2*(i - 1)**4*(i + 13)
Find x, given that 4*x**2 - 976*x + 59536 = 0.
122
What is s in 57*s**2/4 + 3*s/4 = 0?
-1/19, 0
Factor -7*j**3/3 + 65*j**2/3 - 48*j + 12.
-(j - 6)*(j - 3)*(7*j - 2)/3
Find k such that -k**3 + 91*k**2 + 185*k + 93 = 0.
-1, 93
What is a in -a**5/8 + 5*a**4/8 + 17*a**3/8 - 49*a**2/8 - 20*a - 25/2 = 0?
-2, -1, 5
Solve -3*w**4 - 195*w**3 - 3069*w**2 + 3267*w = 0.
-33, 0, 1
Solve 12*d**4 - 2060*d**3 + 85932*d**2 + 216108*d - 181656 = 0 for d.
-3, 2/3, 87
Suppose 2*b**3/21 + 58*b**2/21 - 748*b/21 + 416/7 = 0. What is b?
-39, 2, 8
Solve 2*i**2/15 - 2/15 = 0 for i.
-1, 1
Factor 5*l**3/2 - l**2 - 405*l/2 + 81.
(l - 9)*(l + 9)*(5*l - 2)/2
Factor 9*n**3 + 42*n**2 - 51*n.
3*n*(n - 1)*(3*n + 17)
Factor 3*v**4 - 87*v**3 - 90*v**2 + 12000*v + 12000.
3*(v - 20)**2*(v + 1)*(v + 10)
Find z, given that 2*z**2 + 8*z/5 - 56/5 = 0.
-14/5, 2
Determine m, given that -2*m**2/5 - 92*m/5 - 336/5 = 0.
-42, -4
Factor -12*f**4/7 + 34*f**3/7 - 20*f**2/7.
-2*f**2*(f - 2)*(6*f - 5)/7
Find l, given that 3*l**4/4 + 843*l**3/8 + 1431*l**2/4 - 2067*l/8 - 411/2 = 0.
-137, -4, -1/2, 1
Find l, given that -12*l**5 + 69*l**4 - 90*l**3 - 27*l**2 = 0.
-1/4, 0, 3
Factor 20*h**4 - 780*h**3 + 7205*h**2 + 7800*h + 2000.
5*(h - 20)**2*(2*h + 1)**2
Factor -4*t**4 + 192*t**3 - 2844*t**2 + 16848*t - 34992.
-4*(t - 27)*(t - 9)*(t - 6)**2
Solve k**3 - 4*k**2 - 39*k + 126 = 0.
-6, 3, 7
Find j, given that -2*j**3/7 + 12*j**2/7 + 26*j/7 - 12 = 0.
-3, 2, 7
Factor 2*w**4 + 16*w**3 + 32*w**2.
2*w**2*(w + 4)**2
Factor 3*i**2/4 - 10833*i + 39117963.
3*(i - 7222)**2/4
Factor -p**2 - 550*p - 75625.
-(p + 275)**2
Solve 28*j**2/3 + 19*j + 2/3 = 0 for j.
-2, -1/28
Solve -26*r**3/3 + 10*r**2/3 + 172*r/3 + 32 = 0 for r.
-2, -8/13, 3
Determine z so that -z**5/4 + z**3/4 = 0.
-1, 0, 1
Suppose -y**4/4 - y**3 + 11*y**2/4 - 3*y/2 = 0. What is y?
-6, 0, 1
Factor -h**4/6 - 35*h**3/6 + 739*h**2/6 - 3829*h/6 + 833.
-(h - 7)**2*(h - 2)*(h + 51)/6
Suppose 