etermine o, given that -20*o**4 - 5965*o**3 - 439490*o**2 + 790500*o + 225000 = 0.
-150, -1/4, 2
Let -3*l**4/5 - 29*l**3/5 + 102*l**2/5 + 224*l/5 + 96/5 = 0. What is l?
-12, -1, -2/3, 4
Suppose 2*u**4/15 - 2516*u**3/15 + 70392*u**2 - 148173484*u/15 + 147120118/15 = 0. What is u?
1, 419
Determine l, given that 6*l**2/5 + 1908*l/5 + 151686/5 = 0.
-159
Factor 2*a**4/9 + 20*a**3/3 - 136*a**2/3 + 848*a/9 - 64.
2*(a - 2)**3*(a + 36)/9
Factor -5*m**2/4 + 80*m - 1280.
-5*(m - 32)**2/4
Let -j**2 - 32*j - 87 = 0. What is j?
-29, -3
Find d such that 2*d**2 + 422*d + 420 = 0.
-210, -1
Factor -2*z**2/9 - 40*z/9 + 14/3.
-2*(z - 1)*(z + 21)/9
Factor 2*u**3 + 40*u**2 + 138*u - 180.
2*(u - 1)*(u + 6)*(u + 15)
Determine q so that -2*q**2/11 + 8*q/11 + 442/11 = 0.
-13, 17
Suppose 2*w**3/3 + 1132*w**2/3 + 155554*w/3 - 1317904/3 = 0. What is w?
-287, 8
Factor -m**5/3 - 2*m**4/3 + m**3.
-m**3*(m - 1)*(m + 3)/3
Factor -3*m**2/8 - 159*m/8 - 819/4.
-3*(m + 14)*(m + 39)/8
Let -2*a**4/3 - 26*a**3/3 - 110*a**2/3 - 50*a = 0. Calculate a.
-5, -3, 0
Factor 5*i**2 - 490*i.
5*i*(i - 98)
Factor 5*n**2 + 18055*n.
5*n*(n + 3611)
Suppose 4*n**3/5 - 8*n**2 - 92*n/5 - 48/5 = 0. What is n?
-1, 12
Solve 2*r**4 + 39*r**3 + 107*r**2 - 84*r - 64 = 0 for r.
-16, -4, -1/2, 1
Suppose -5*v**3 + 25*v**2 + 5*v - 25 = 0. What is v?
-1, 1, 5
Factor -5*p**2/2 + 155*p/2 + 80.
-5*(p - 32)*(p + 1)/2
Factor 4*r**3 - 1988*r**2 + 244000*r + 750000.
4*(r - 250)**2*(r + 3)
Factor -z**2 + 9.
-(z - 3)*(z + 3)
Suppose -2*r**5/21 - 16*r**4/21 - 40*r**3/21 - 20*r**2/21 + 2*r + 12/7 = 0. What is r?
-3, -2, -1, 1
What is s in 21*s**3 + 111*s**2 - 264*s - 84 = 0?
-7, -2/7, 2
Solve o**2 + 24*o + 80 = 0.
-20, -4
Factor -2*f**2/13 + 1136*f/13.
-2*f*(f - 568)/13
Factor -2*k**2 - 30*k - 28.
-2*(k + 1)*(k + 14)
Determine l so that 3*l**5/4 + 6*l**4 - 3*l**3/2 - 12*l**2 + 3*l/4 + 6 = 0.
-8, -1, 1
Solve -19*q**3/7 + 26*q**2/7 + 5*q/7 - 12/7 = 0.
-12/19, 1
Factor -3*k**2/2 - 909*k - 1815/2.
-3*(k + 1)*(k + 605)/2
Find p such that -p**4/2 + 39*p**3 - 1161*p**2/2 - 7396*p = 0.
-8, 0, 43
Determine g so that -5*g**4 - 25*g**3 - 30*g**2 + 20*g + 40 = 0.
-2, 1
Factor 6*v**3 - 16*v**2 - 1434*v - 476.
2*(v - 17)*(v + 14)*(3*v + 1)
Determine m, given that m**2/7 + 24*m/7 - 25/7 = 0.
-25, 1
Solve t**3/10 - 5*t**2 + 49*t/10 = 0 for t.
0, 1, 49
Factor -25*l**3 - 60*l**2 + 85*l.
-5*l*(l - 1)*(5*l + 17)
Factor -2*m**3 - 24*m**2 - 58*m - 36.
-2*(m + 1)*(m + 2)*(m + 9)
Let p**4/3 + 80*p**3/3 + 506*p**2 - 3280*p/3 + 1681/3 = 0. What is p?
-41, 1
Factor -5*m**2 + 405*m.
-5*m*(m - 81)
Determine o so that o**2/2 + 56*o + 768 = 0.
-96, -16
Find b, given that -2*b**5/3 + 6*b**4 + 170*b**3/3 + 50*b**2 = 0.
-5, -1, 0, 15
Solve b**5/3 - b**4/3 - 19*b**3/3 - 11*b**2/3 + 10*b = 0.
-3, -2, 0, 1, 5
Determine g so that 5*g**3/8 + 17*g**2/8 - 3*g/2 = 0.
-4, 0, 3/5
Factor s**3/4 + 4*s**2 + 29*s/4 + 7/2.
(s + 1)**2*(s + 14)/4
Let 2*l**2 + 20*l + 50 = 0. Calculate l.
-5
Let 14*q**4/5 - 58*q**3/15 + 8*q**2/15 + 8*q/15 = 0. Calculate q.
-2/7, 0, 2/3, 1
Factor -3*x**2 + 24*x - 36.
-3*(x - 6)*(x - 2)
Factor 150*a**3 + 8640*a**2 + 10287*a/2 + 1539/2.
3*(a + 57)*(10*a + 3)**2/2
Find b, given that 50*b**5/3 + 20*b**4/3 - 128*b**3/3 + 64*b**2/3 = 0.
-2, 0, 4/5
Let -2*r**2 + 95*r/3 + 16/3 = 0. Calculate r.
-1/6, 16
Factor -2*z**2/5 - 4*z - 48/5.
-2*(z + 4)*(z + 6)/5
Suppose -s**5/6 + 17*s**4/6 - 29*s**3/3 + 41*s**2/3 - 53*s/6 + 13/6 = 0. What is s?
1, 13
Factor 2*d**3/3 - 4*d**2 - 10*d - 16/3.
2*(d - 8)*(d + 1)**2/3
Solve -69*l**4/5 - 17*l**3/5 + 94*l**2/5 - 8*l/5 = 0 for l.
-4/3, 0, 2/23, 1
Factor 16*s**3 - 58*s**2 + 42*s.
2*s*(s - 1)*(8*s - 21)
Factor 2*b**2/11 - 2176*b/11 + 591872/11.
2*(b - 544)**2/11
Factor -3*m**2 + 744*m/5 - 441/5.
-3*(m - 49)*(5*m - 3)/5
What is g in 2*g**4/11 - 18*g**3/11 + 30*g**2/11 - 14*g/11 = 0?
0, 1, 7
Factor 5*h**2 - 2375*h - 2380.
5*(h - 476)*(h + 1)
Let 2*j**5/9 - 2*j**4/3 - 38*j**3/9 + 2*j**2/3 + 4*j = 0. What is j?
-3, -1, 0, 1, 6
Solve -26*t**3/9 - 40*t**2 - 802*t/9 + 44/3 = 0.
-11, -3, 2/13
Factor -5*q**4 + 65*q**3 + 15*q**2 - 185*q - 130.
-5*(q - 13)*(q - 2)*(q + 1)**2
Suppose -6*g**2/5 - 2*g/5 = 0. Calculate g.
-1/3, 0
Factor 4*v**2/5 + 208*v/5 - 896/5.
4*(v - 4)*(v + 56)/5
Factor z**4/3 - 8*z**3 + 143*z**2/3 + 8*z - 48.
(z - 12)**2*(z - 1)*(z + 1)/3
Factor -5*d**3 + 45*d**2 - 70*d.
-5*d*(d - 7)*(d - 2)
Determine f so that -f**2/3 + 185*f/3 - 184/3 = 0.
1, 184
Factor 4*v**5 - 120*v**4 + 900*v**3.
4*v**3*(v - 15)**2
Factor 3*h**2 + 4404*h + 1616268.
3*(h + 734)**2
Factor -3*h**2/2 + 201*h/2 - 630.
-3*(h - 60)*(h - 7)/2
Determine u so that 28*u**5/5 - 1952*u**4/5 + 35644*u**3/5 - 56296*u**2/5 + 13328*u/5 + 9248/5 = 0.
-2/7, 1, 34
Find q such that -2*q**2/5 + 99*q/5 - 97/5 = 0.
1, 97/2
Let -2*r**4 + 14*r**3 + 16*r**2 = 0. Calculate r.
-1, 0, 8
Factor 2*l**5/9 + 296*l**4/9.
2*l**4*(l + 148)/9
Find t such that 3*t**5 + 87*t**4 - 96*t**3 - 180*t**2 = 0.
-30, -1, 0, 2
Let -3*v**2 - 429*v + 870 = 0. Calculate v.
-145, 2
Let -g**2/4 - 50*g - 199/4 = 0. Calculate g.
-199, -1
Suppose -5*h**2 + 540*h + 2240 = 0. What is h?
-4, 112
Factor h**2/3 - 4*h - 180.
(h - 30)*(h + 18)/3
Determine f so that -f**3 + 538*f**2/3 - 713*f/3 + 178/3 = 0.
1/3, 1, 178
Let -4*v**3 - 24924*v**2 - 51767148*v - 35840122132 = 0. Calculate v.
-2077
Factor x**3 - 69*x**2 + 135*x - 67.
(x - 67)*(x - 1)**2
Factor -4*c**2 + 560*c - 19600.
-4*(c - 70)**2
Find t such that t**3/3 + 20*t**2/3 - 233*t/3 - 84 = 0.
-28, -1, 9
Suppose 3*l**3/4 - 99*l**2/4 + 252*l - 735 = 0. What is l?
5, 14
Let 16*h**4/9 - 79*h**3/9 - 7*h**2/3 + 79*h/9 + 5/9 = 0. Calculate h.
-1, -1/16, 1, 5
Find c such that 2*c**4 + 32*c**3 - 132*c**2 - 2080*c + 8450 = 0.
-13, 5
Suppose -4*t**5/9 + 40*t**4/9 - 68*t**3/9 + 32*t**2/9 = 0. Calculate t.
0, 1, 8
Solve j**4/3 + 2*j**3 + 11*j**2/3 + 2*j = 0 for j.
-3, -2, -1, 0
Let -4*n**3/9 + 44*n**2/9 - 140*n/9 + 100/9 = 0. What is n?
1, 5
Factor s**5/4 + 2*s**4 - 15*s**3/2 + 8*s**2 - 11*s/4.
s*(s - 1)**3*(s + 11)/4
Let 2*b**2/11 - 120*b/11 - 3002/11 = 0. Calculate b.
-19, 79
Factor 3*v**5 - 12*v**4 - 36*v**3 + 96*v**2 + 192*v.
3*v*(v - 4)**2*(v + 2)**2
Factor 3*j**2 - 159*j.
3*j*(j - 53)
Factor 234*o**3 - 5386*o**2 - 5524*o + 96.
2*(o - 24)*(o + 1)*(117*o - 2)
Let -3*z**2 + 6270*z - 3276075 = 0. Calculate z.
1045
Factor -n**2/4 - 15*n/4 - 9.
-(n + 3)*(n + 12)/4
Let -5*v**3 - 210*v**2 + 920*v = 0. What is v?
-46, 0, 4
What is t in 5*t**5/4 + 33*t**4/4 + 9*t**3 - 5*t**2 = 0?
-5, -2, 0, 2/5
Find u, given that -4*u**2 + 68*u - 240 = 0.
5, 12
Factor -4*x**2 + 712*x + 716.
-4*(x - 179)*(x + 1)
Factor -3*p**5 + 78*p**4 - 423*p**3 - 1092*p**2 - 588*p.
-3*p*(p - 14)**2*(p + 1)**2
Factor -j**2/7 - j/7 + 6.
-(j - 6)*(j + 7)/7
Suppose -3*b**2 - 1770*b = 0. Calculate b.
-590, 0
Suppose 2*v**2 + 78*v - 164 = 0. What is v?
-41, 2
Solve 2*b**3/9 - 20*b**2/9 + 2*b = 0 for b.
0, 1, 9
Factor 2*d**3/5 - 8*d**2/5 - 74*d/5 + 16.
2*(d - 8)*(d - 1)*(d + 5)/5
Factor -2*f**2 + 146*f + 148.
-2*(f - 74)*(f + 1)
Solve -27*n**4 - 666*n**3 - 4080*n**2 + 666*n + 4107 = 0.
-37/3, -1, 1
Solve -4*j**5 - 8*j**4 + 24*j**3 + 32*j**2 - 20*j - 24 = 0 for j.
-3, -1, 1, 2
Let -h**2/3 + 9*h - 26/3 = 0. What is h?
1, 26
Factor -8*j**3/7 + 52*j**2/7 - 108*j/7 + 72/7.
-4*(j - 3)*(j - 2)*(2*j - 3)/7
Let n**3/6 - 43*n**2/6 + 220*n/3 + 242/3 = 0. What is n?
-1, 22
Solve -3*m**3 + 213*m**2 - 816*m + 804 = 0 for m.
2, 67
Let -3*l**4 + 480*l**3 + 9*l**2 - 1446*l + 960 = 0. Calculate l.
-2, 1, 160
Factor -3*k**2/4 - 159*k - 315.
-3*(k + 2)*(k + 210)/4
Solve 4*q**3 + 16*q**2 + 16*q = 0.
-2, 0
Let 2*c**2/5 + 19132*c/5 + 45754178/5 = 0. Calculate c.
-4783
Determine n, given that -2*n**2 - 2*n + 40 = 0.
-5, 4
Find a such that -420*a**4 + 562*a**3 - 842*a**2/7 - 208*a/7 + 8 = 0.
-7/30, 2/7, 1
Solve -2*r**2 - 110*r - 212 = 0 for r.
-53, -2
Factor -11*q**4 + 325*q**3 - 174*q**2.
-q**2*(q - 29)*(11*q - 6)
Factor 2*w**3/11 - 158*w**2/11 + 1358*w/11 + 138.
2*(w - 69)*(w - 11)*(w + 1)/11
Factor -2*k**3/7 + 1370*k**2/7 - 4084*k/7 - 5456/7.
-2*(k - 682)*(k - 4)*(k + 1)/7
Let w**5 + 6*w**4 - 12*w**3 - 38*w**2 - 21*w = 0. Calculate w.
-7, -1, 0, 3
Factor -7*g**2 - 4156*g + 1188.
-(g + 594)*(7*g - 2)
Let 5*o**4 - 145*o**3 + 1350*o**2 - 3500*o - 5000 = 0. What is o?
-1, 10
Suppose -16*q**2/7 - 13*q/7 + 3/7 = 0. Calculate