ne g so that 2*g**2/11 + 524*g/11 = 0.
-262, 0
Factor -h**4/4 - 15*h**3/4 - 39*h**2/4 - 37*h/4 - 3.
-(h + 1)**3*(h + 12)/4
Factor 2*u**3 - 134*u**2 + 132*u.
2*u*(u - 66)*(u - 1)
Let -38*c**3/11 + 34*c**2/11 + 4*c/11 = 0. What is c?
-2/19, 0, 1
Factor z**2 - 450*z + 50625.
(z - 225)**2
Factor o**5/5 + 29*o**4/5 - 62*o**3/5 + 2*o**2/5 + 61*o/5 - 31/5.
(o - 1)**3*(o + 1)*(o + 31)/5
Let 5*m**2 - 1490*m + 111005 = 0. What is m?
149
Factor 2*d**2 + 18*d.
2*d*(d + 9)
Suppose 20*j**3/3 - 296*j**2/3 - 380*j/3 - 64/3 = 0. What is j?
-1, -1/5, 16
Factor 3*x**2 + 318*x + 8427.
3*(x + 53)**2
Determine s so that -3*s**2/5 - 339*s/5 + 1404/5 = 0.
-117, 4
Find o, given that -6*o**5 - 50*o**4 - 118*o**3 - 22*o**2 + 148*o + 48 = 0.
-4, -3, -2, -1/3, 1
Solve -3*o**3/4 + 15*o**2/2 - 93*o/4 + 45/2 = 0.
2, 3, 5
Factor 5*h**4 - 5490*h**3 + 2009340*h**2 - 245139480*h.
5*h*(h - 366)**3
Factor -5*k**2 + 320*k - 620.
-5*(k - 62)*(k - 2)
Determine k so that -3*k**4/8 - 597*k**3/8 - 1461*k**2/4 - 291*k = 0.
-194, -4, -1, 0
Factor 5*h**3/3 - 395*h**2 - 2415*h - 3645.
5*(h - 243)*(h + 3)**2/3
What is v in 2*v**3 + 80*v**2 + 152*v = 0?
-38, -2, 0
Factor s**5 - 87*s**4 + 1728*s**3 - 14472*s**2 + 55728*s - 81648.
(s - 63)*(s - 6)**4
Factor -2*r**3/5 + 22*r**2/5 - 38*r/5 + 18/5.
-2*(r - 9)*(r - 1)**2/5
Let 3*b**4/4 + 5*b**3/4 - 16*b**2 - 41*b - 20 = 0. Calculate b.
-4, -2, -2/3, 5
Find p, given that -p**3/3 + 39*p**2 - 152*p + 452/3 = 0.
2, 113
Determine c so that -2*c**3/7 - 10*c**2/7 + 34*c/7 + 6 = 0.
-7, -1, 3
Solve 4*a**2/5 - 204*a/5 + 752/5 = 0.
4, 47
Factor -4*f**2/5 + 12648*f/5 - 12644/5.
-4*(f - 3161)*(f - 1)/5
Factor -3*h**4 + 27*h**3 - 66*h**2 + 96.
-3*(h - 4)**2*(h - 2)*(h + 1)
Factor -5*u**2 - 12930*u + 12935.
-5*(u - 1)*(u + 2587)
Find t such that 2*t**3/13 - 152*t**2/13 + 3034*t/13 - 5476/13 = 0.
2, 37
Factor -w**2/2 + 3*w/2 + 14.
-(w - 7)*(w + 4)/2
Factor -2*d**2/3 + 9272*d/3 - 10746248/3.
-2*(d - 2318)**2/3
Factor -z**2 + 177*z - 350.
-(z - 175)*(z - 2)
Find l such that -4*l**2/3 + 14624*l/3 - 13366336/3 = 0.
1828
Factor -3*m**2 - 96*m + 99.
-3*(m - 1)*(m + 33)
Factor 3*t**3 + 34*t**2 + 9*t - 22.
(t + 1)*(t + 11)*(3*t - 2)
Suppose 4*l**5/5 + 32*l**4/5 + 64*l**3/5 + 8*l**2/5 - 68*l/5 - 8 = 0. Calculate l.
-5, -2, -1, 1
Suppose -c**4 + 20*c**3 + c**2 - 20*c = 0. Calculate c.
-1, 0, 1, 20
Find d, given that -3*d**2 + 2247*d - 2244 = 0.
1, 748
Determine s, given that s**4/2 - 29*s**3/2 + 134*s**2 - 408*s + 288 = 0.
1, 4, 12
Factor -5*s**4 + 840*s**3 - 35260*s**2 - 3360*s + 141120.
-5*(s - 84)**2*(s - 2)*(s + 2)
Factor a**3/3 - 53*a**2/3 + 439*a/3 - 129.
(a - 43)*(a - 9)*(a - 1)/3
Factor -2*i**3/3 - 34*i**2/3 + 224*i/3 + 4312/3.
-2*(i - 11)*(i + 14)**2/3
Factor -2*f**3/9 - 8*f**2/3 - 8*f - 64/9.
-2*(f + 2)**2*(f + 8)/9
Factor 3*i**4 + 30*i**3 + 51*i**2 + 24*i.
3*i*(i + 1)**2*(i + 8)
What is s in s**2/4 - 15*s/2 + 14 = 0?
2, 28
Factor h**3 - 27*h**2 - 370*h.
h*(h - 37)*(h + 10)
Factor -2*i**4/7 + 104*i**2/7 + 192*i/7.
-2*i*(i - 8)*(i + 2)*(i + 6)/7
Factor -3*x**2 + 129*x.
-3*x*(x - 43)
Find f, given that f**2/4 + 444*f + 197136 = 0.
-888
Determine r so that -3*r**2 - 15*r + 18 = 0.
-6, 1
Factor -4*o**3 - 356*o**2 + 368*o + 720.
-4*(o - 2)*(o + 1)*(o + 90)
Solve 5*d**2 - 20 = 0 for d.
-2, 2
Determine j so that -j**4 + j**3 + 7*j**2 - 13*j + 6 = 0.
-3, 1, 2
Factor 4*s**4 + 248*s**3 - 4*s**2 - 248*s.
4*s*(s - 1)*(s + 1)*(s + 62)
Factor -4*k**4/5 + 24*k**2/5 + 32*k/5 + 12/5.
-4*(k - 3)*(k + 1)**3/5
Suppose j**5/7 - 2*j**4 - 22*j**3 - 460*j**2/7 - 519*j/7 - 198/7 = 0. What is j?
-3, -1, 22
Factor -2*x**4/19 - 20*x**3/19 + 500*x/19 + 1250/19.
-2*(x - 5)*(x + 5)**3/19
Suppose -5*v**5/2 + 53*v**4/2 - 173*v**3/2 + 167*v**2/2 - v - 20 = 0. What is v?
-2/5, 1, 4, 5
Factor m**4/4 + 179*m**3/4 - 181*m**2/2.
m**2*(m - 2)*(m + 181)/4
Solve 5*g**4 + 1225*g**3 = 0 for g.
-245, 0
Factor -i**4 - 7*i**3 - 9*i**2 + 27*i + 54.
-(i - 2)*(i + 3)**3
Determine k, given that 2*k**4/9 - 16*k**3/9 + 10*k**2/3 + 16*k/9 - 32/9 = 0.
-1, 1, 4
Factor -h**2 - 20*h + 44.
-(h - 2)*(h + 22)
Determine b, given that 5*b**3/3 - 85*b**2/3 + 50*b = 0.
0, 2, 15
What is g in 3*g**5 - 3*g**4 - 69*g**3 - 117*g**2 - 54*g = 0?
-3, -1, 0, 6
Factor -4*w**2/3 - 1156*w/3 - 384.
-4*(w + 1)*(w + 288)/3
Determine c, given that -2*c**3/7 - 38*c**2/7 = 0.
-19, 0
Factor k**2/3 - 28*k/3 + 9.
(k - 27)*(k - 1)/3
What is l in 5*l**4 - 80*l**3 + 260*l**2 - 240*l = 0?
0, 2, 12
Let -3*u**3 + 45*u**2 - 81*u - 729 = 0. Calculate u.
-3, 9
Suppose -2*v**3/9 + 118*v**2/9 = 0. Calculate v.
0, 59
What is d in -2*d**5 + 144*d**4 - 2286*d**3 - 11096*d**2 - 8664*d = 0?
-3, -1, 0, 38
Factor 4*d**3 + 60*d**2 - 1728*d - 27216.
4*(d - 21)*(d + 18)**2
Factor 566*p**2/3 + 1136*p/3 + 8/3.
2*(p + 2)*(283*p + 2)/3
Factor -d**3 - 100*d**2 - 293*d - 194.
-(d + 1)*(d + 2)*(d + 97)
Factor v**2/4 - 61*v/4 + 459/2.
(v - 34)*(v - 27)/4
Determine q, given that 32*q**4 + 2472*q**3 + 46804*q**2 - 36192*q + 6084 = 0.
-39, 1/4, 1/2
What is t in 2*t**4/3 + 10*t**3 + 30*t**2 + 10*t/3 - 44 = 0?
-11, -3, -2, 1
What is o in 3*o**4/4 - 6*o**3 + 9*o**2 = 0?
0, 2, 6
Determine l so that 5*l**2/2 + 170*l + 975/2 = 0.
-65, -3
Let -n**4/3 + 20*n**3/3 - 32*n**2/3 - 80*n/3 + 48 = 0. What is n?
-2, 2, 18
Factor -2*l**2 + 7168*l - 6422528.
-2*(l - 1792)**2
Solve -162*z**4/13 + 558*z**3/13 - 548*z**2/13 + 168*z/13 - 16/13 = 0.
2/9, 1, 2
Find x such that -4*x**3 - 76*x**2 - 124*x + 204 = 0.
-17, -3, 1
Find q, given that -q**5/7 - 5*q**4/7 + 3*q**3/7 + 17*q**2/7 + 10*q/7 = 0.
-5, -1, 0, 2
Factor -2*y**2 + 116*y - 114.
-2*(y - 57)*(y - 1)
Factor 359552*c**4 - 1439904*c**3 + 1444994*c**2 - 6792*c + 8.
2*(c - 2)**2*(424*c - 1)**2
What is c in -2*c**4 - 456*c**3 - 3110*c**2 - 3504*c + 7072 = 0?
-221, -4, 1
Solve -k**3/3 - 2*k**2 + 49*k/3 - 22 = 0.
-11, 2, 3
Factor v**3/4 - 13*v**2/4 + 4*v + 48.
(v - 8)**2*(v + 3)/4
Factor -49*k**3/5 + 194*k**2/5 - 188*k/5 - 8/5.
-(k - 2)**2*(49*k + 2)/5
Factor y**2 - 1885*y + 1884.
(y - 1884)*(y - 1)
Factor -3*y**2/8 + 21*y/8.
-3*y*(y - 7)/8
Solve -u**4/8 - 43*u**3/4 - 585*u**2/2 - 2025*u + 13500 = 0.
-30, 4
Factor b**2/7 + 836*b/7 + 174724/7.
(b + 418)**2/7
Suppose -25*k**3 - 855*k**2/2 - 35*k + 255/2 = 0. What is k?
-17, -3/5, 1/2
Factor b**4 - 11*b**3 - 63*b**2 + 27*b + 270.
(b - 15)*(b - 2)*(b + 3)**2
Determine h so that 2*h**3/7 + 312*h**2/7 + 2400*h/7 + 4736/7 = 0.
-148, -4
Factor -2*l**2/7.
-2*l**2/7
Find v such that 2*v**5 + 142*v**4 + 278*v**3 + 138*v**2 = 0.
-69, -1, 0
Determine x, given that 5*x**5 + 30*x**4 - 10*x**3 - 60*x**2 + 5*x + 30 = 0.
-6, -1, 1
Find f such that -2*f**2/9 + 184*f/9 - 4232/9 = 0.
46
Determine h so that 33*h**3/8 + 613*h**2/8 + 85*h/2 - 9/2 = 0.
-18, -2/3, 1/11
Find x, given that -2*x**2/9 + 44*x/9 + 46/9 = 0.
-1, 23
Determine s so that -s**5/2 + 7*s**4 - 17*s**3 + 4*s**2 + 35*s/2 - 11 = 0.
-1, 1, 2, 11
Factor 2*g**2 - 956*g.
2*g*(g - 478)
Find a, given that -15*a**4 - 36*a**3 - 12*a**2 = 0.
-2, -2/5, 0
Factor 5*g**3 + 535*g**2 + 1055*g + 525.
5*(g + 1)**2*(g + 105)
Solve -i**4/4 - 3*i**3/2 + i**2 + 27*i/2 + 45/4 = 0 for i.
-5, -3, -1, 3
Factor -3*o**3 - 48*o**2 + 180*o + 1296.
-3*(o - 6)*(o + 4)*(o + 18)
Suppose 2*h**2 + 64*h + 384 = 0. Calculate h.
-24, -8
Find q such that -3*q**2 + 288*q - 1620 = 0.
6, 90
Factor -4*z**3 - 132*z**2 + 144*z + 272.
-4*(z - 2)*(z + 1)*(z + 34)
Solve 8*b**4/3 - 4*b**3/9 - 8*b**2 + 20*b/3 - 8/9 = 0 for b.
-2, 1/6, 1
Solve -3*s**3/4 + 27*s**2 - 477*s/4 + 93 = 0 for s.
1, 4, 31
Factor -57*c**3 + 2673*c**2 + 3018*c + 288.
-3*(c - 48)*(c + 1)*(19*c + 2)
Factor c**5 + 32*c**4 - 149*c**3 - 180*c**2.
c**2*(c - 5)*(c + 1)*(c + 36)
Solve -26*c**5 + 144*c**4 - 266*c**3 + 156*c**2 + 40*c - 48 = 0 for c.
-6/13, 1, 2
Factor k**5/4 - 39*k**4/2 + 38*k**3 + k**2/2 - 153*k/4 + 19.
(k - 76)*(k - 1)**3*(k + 1)/4
Factor 4*k**4 - 1028*k**3 + 65524*k**2 + 68628*k - 133128.
4*(k - 129)**2*(k - 1)*(k + 2)
Factor 3*g**2 - 174*g - 3552.
3*(g - 74)*(g + 16)
What is f in -2*f**5/7 - 108*f**4/7 - 1658*f**3/7 - 5400*f**2/7 - 5000*f/7 = 0?
-25, -2, 0
Determine m so that -3*m**5/4 - 15*m**4/2 - 93*m**3/4 - 33*m**2/2 + 24*m + 24 = 0.
-4, -2, -1, 1
Determine h so that -2*h**3/11 - 118*h**2/11 - 1680*h/11 + 1800/11 = 0.
-30, 1
What is f in 2*f**3/7 - 4*f**2/7 - 6*f/7 = 0?
-1, 0, 3
Let 15*u**4 + 215*u**3 + 55*u**2 - 21