r s.
0, 2, 5
Let -4*y**4 + 2*y**3/3 = 0. What is y?
0, 1/6
Factor -22*l**2/17 + 54*l/17 - 20/17.
-2*(l - 2)*(11*l - 5)/17
Factor -51*g**3 - 48*g**2.
-3*g**2*(17*g + 16)
Determine b, given that 3*b**2/5 - 519*b/5 + 516/5 = 0.
1, 172
Factor -2*p**2/5 + 656*p - 268960.
-2*(p - 820)**2/5
Suppose r**3 - 21*r**2 - 70*r - 48 = 0. Calculate r.
-2, -1, 24
Factor c**4 + 30*c**3 - 249*c**2 + 370*c.
c*(c - 5)*(c - 2)*(c + 37)
Factor 2*b**4/7 - 100*b**3/7 + 792*b**2/7 - 324*b + 2214/7.
2*(b - 41)*(b - 3)**3/7
Solve d**3/11 - 18*d**2/11 - d/11 + 18/11 = 0 for d.
-1, 1, 18
Suppose -2*u**3/13 + 14*u**2/13 = 0. Calculate u.
0, 7
Factor 2*v**2 + 992*v + 1976.
2*(v + 2)*(v + 494)
Let -5*s**4/4 - 135*s**3/4 - 125*s**2 + 1440*s - 1280 = 0. Calculate s.
-16, 1, 4
Find i such that i**2/3 + 59*i/3 - 62 = 0.
-62, 3
Determine q, given that -9*q**2/2 - 867*q + 579/2 = 0.
-193, 1/3
What is o in 15*o**4/4 + 1791*o**3/4 + 699*o**2/4 - 1791*o/4 - 357/2 = 0?
-119, -1, -2/5, 1
Determine n, given that -n**2 - 84*n - 1764 = 0.
-42
Factor j**4/2 + 4*j**3 - j**2/2 - 4*j.
j*(j - 1)*(j + 1)*(j + 8)/2
Determine m, given that -4*m**2/7 - 172*m/7 - 328/7 = 0.
-41, -2
Factor -12*g**2 + 73*g/6 - 1/6.
-(g - 1)*(72*g - 1)/6
Let -45*o**2 + 2010*o - 22445 = 0. Calculate o.
67/3
Solve 15*y**2 - 27*y - 42 = 0 for y.
-1, 14/5
Factor -2*o**5/3 - 2*o**4/3 + 4*o**3/3.
-2*o**3*(o - 1)*(o + 2)/3
Suppose -o**2/3 - 443*o = 0. Calculate o.
-1329, 0
What is p in -2*p**3/5 + 1026*p**2/5 - 1024*p/5 = 0?
0, 1, 512
Factor -4*g**3 + 40*g**2 + 1468*g - 6256.
-4*(g - 23)*(g - 4)*(g + 17)
Find r, given that r**4 + 5*r**3 + 6*r**2 - 4*r - 8 = 0.
-2, 1
Find j such that 98*j**2 + 6160*j/3 + 96800/9 = 0.
-220/21
What is m in m**5/10 - 2*m**4/5 + m**3/5 + 2*m**2/5 - 3*m/10 = 0?
-1, 0, 1, 3
Suppose -t**4/3 - 13*t**3/3 - 11*t**2/3 + 13*t/3 + 4 = 0. What is t?
-12, -1, 1
Factor -p**4/2 + 79*p**3 - 3198*p**2 + 6084*p.
-p*(p - 78)**2*(p - 2)/2
Factor 2*c**3 + 4*c**2 - 6*c.
2*c*(c - 1)*(c + 3)
Factor -5*k**2 - 120*k.
-5*k*(k + 24)
Determine c so that -6889*c**3/2 + 17347*c**2 - 4989*c/8 + 45/8 = 0.
3/166, 5
Solve -2*i**4 + 5*i**3/4 + 51*i**2/4 + 9*i/2 = 0 for i.
-2, -3/8, 0, 3
Factor -w**5/3 + 25*w**4/3 - 25*w**3 - 375*w**2.
-w**2*(w - 15)**2*(w + 5)/3
Factor 3*g**4 - 201*g**3 + 1113*g**2 - 915*g.
3*g*(g - 61)*(g - 5)*(g - 1)
Determine p, given that 3*p**5 + 54*p**4 + 177*p**3 - 654*p**2 - 180*p + 600 = 0.
-10, -1, 1, 2
Factor -2*f**4/7 + 48*f**3/7 - 288*f**2/7.
-2*f**2*(f - 12)**2/7
Determine t, given that 86*t**2/11 + 82*t/11 - 4/11 = 0.
-1, 2/43
Determine o so that 84*o**5 + 8828*o**4 - 8148*o**3 - 9676*o**2 + 8064*o + 848 = 0.
-106, -1, -2/21, 1
Solve 2*c**3/9 - 778*c**2/3 + 302642*c/3 - 117727738/9 = 0 for c.
389
Solve 2*k**3 - 228*k**2 - 230*k = 0 for k.
-1, 0, 115
Find z, given that 10*z**3/7 + 44*z**2/7 + 10*z/7 - 24/7 = 0.
-4, -1, 3/5
Factor -4*d**3/5 + 88*d**2/5 + 92*d/5.
-4*d*(d - 23)*(d + 1)/5
Find k, given that -k**2/3 + 5*k - 14/3 = 0.
1, 14
Suppose 5*j**4 - 12*j**3 + 4*j**2 = 0. What is j?
0, 2/5, 2
Factor -5*q**5 + 175*q**4 - 650*q**3 + 950*q**2 - 625*q + 155.
-5*(q - 31)*(q - 1)**4
Factor -4*w**3 + 1032*w**2 - 2052*w + 1024.
-4*(w - 256)*(w - 1)**2
Suppose -2*b**3/5 + 2*b**2 - 4*b/5 - 16/5 = 0. Calculate b.
-1, 2, 4
Factor 3*d**3/5 + 351*d**2/5 + 10089*d/5 - 10443/5.
3*(d - 1)*(d + 59)**2/5
Factor -3*c**5 - 117*c**4 - 222*c**3 + 6*c**2 + 225*c + 111.
-3*(c - 1)*(c + 1)**3*(c + 37)
Determine k so that -k**5/2 + 11*k**4/2 - 18*k**3 + 16*k**2 + 16*k - 24 = 0.
-1, 2, 6
Factor -531441*t**2 - 2916*t - 4.
-(729*t + 2)**2
Factor 7*u**5 - 23*u**4 + 27*u**3 - 13*u**2 + 2*u.
u*(u - 1)**3*(7*u - 2)
What is g in -3*g**3 + 9*g + 6 = 0?
-1, 2
Find u such that 2*u**5 - 4*u**3 + 2*u = 0.
-1, 0, 1
Find h, given that 2*h**3 + 168*h**2 - 342*h + 172 = 0.
-86, 1
Suppose 4*n**3 - 24*n**2 - 60*n - 32 = 0. Calculate n.
-1, 8
Factor k**2/4 + 61*k/2 + 3721/4.
(k + 61)**2/4
Factor 25*c**2/4 + 29*c/4 + 1.
(c + 1)*(25*c + 4)/4
Determine v so that -2*v**3 + 48*v**2 = 0.
0, 24
Factor 2*s**4 + 54*s**3 + 312*s**2 + 664*s + 480.
2*(s + 2)**2*(s + 3)*(s + 20)
Factor 4*j**2 - 804*j - 1624.
4*(j - 203)*(j + 2)
Factor q**2 - 61*q + 228.
(q - 57)*(q - 4)
Suppose c**5/4 - c**4 + c**3/4 + 7*c**2/2 - 5*c + 2 = 0. Calculate c.
-2, 1, 2
Factor -c**4/5 + 8*c**3/5 - 22*c**2/5 + 24*c/5 - 9/5.
-(c - 3)**2*(c - 1)**2/5
Factor k**4/6 + 280*k**3/3 + 19600*k**2 + 5488000*k/3 + 192080000/3.
(k + 140)**4/6
Suppose 2*x**4/7 + 122*x**3/7 + 2116*x**2/7 + 1024*x - 1344 = 0. What is x?
-28, -6, 1
Find w, given that -w**2 - 133*w = 0.
-133, 0
Suppose r**5/7 + 40*r**4/7 - 317*r**3/7 + 568*r**2/7 + 172*r/7 - 752/7 = 0. Calculate r.
-47, -1, 2, 4
Factor 5*w**2 - 1875*w + 7420.
5*(w - 371)*(w - 4)
Factor 2*z**2/9 + 122*z/3 - 740/9.
2*(z - 2)*(z + 185)/9
Find k, given that k**2/7 - 47*k/7 + 312/7 = 0.
8, 39
Determine m, given that -39*m**5/2 + 219*m**4/8 + 711*m**3/8 + 159*m**2/8 - 159*m/8 + 9/4 = 0.
-1, 2/13, 1/4, 3
Factor 64*f**3/3 + 32*f**2/3 - 20*f - 12.
4*(f - 1)*(4*f + 3)**2/3
Factor -4*h**3 + 12*h**2 + 36*h + 20.
-4*(h - 5)*(h + 1)**2
Find u such that -u**3/4 - 117*u**2/2 - 3111*u + 37210 = 0.
-122, 10
Factor 2*s**2/9 + 346*s/9 + 76.
2*(s + 2)*(s + 171)/9
Solve 3*b**5 - 54*b**4 + 57*b**3 + 594*b**2 + 480*b = 0 for b.
-2, -1, 0, 5, 16
Let 4*m**3 + 152*m**2 + 1468*m + 1320 = 0. Calculate m.
-22, -15, -1
Determine w, given that -2*w**4 - 12*w**3 + 18*w**2 + 108*w = 0.
-6, -3, 0, 3
Determine j, given that -40*j**5 - 472*j**4 + 686*j**3 + 812*j**2 + 74*j - 52 = 0.
-13, -1/2, 1/5, 2
Find m, given that 12*m**2 - 100*m - 72 = 0.
-2/3, 9
Factor 4*t**2 - 5236*t - 5240.
4*(t - 1310)*(t + 1)
Find g such that 2*g**5/5 - 56*g**4/5 - 62*g**3/5 + 116*g**2/5 = 0.
-2, 0, 1, 29
Let -35*v**2 - 570*v - 160 = 0. What is v?
-16, -2/7
Factor 2*a**4 + 430*a**3 + 426*a**2 - 430*a - 428.
2*(a - 1)*(a + 1)**2*(a + 214)
Let 4*x**2 - 2740*x + 2736 = 0. What is x?
1, 684
Suppose 9*h**4/8 + 3*h**3/2 - 129*h**2/8 + 21*h - 15/2 = 0. What is h?
-5, 2/3, 1, 2
Factor -s**3 + 43*s**2 + 392*s + 816.
-(s - 51)*(s + 4)**2
Suppose -2*y**3 - 2*y**2 + 10*y - 6 = 0. Calculate y.
-3, 1
Factor x**4/3 + 2*x**3/3 - 19*x**2/3 + 28*x/3 - 4.
(x - 2)*(x - 1)**2*(x + 6)/3
Suppose -p**4 + 16*p**3 - 48*p**2 = 0. Calculate p.
0, 4, 12
Factor -m**4/3 - 10*m**3/3 - 11*m**2 - 40*m/3 - 16/3.
-(m + 1)**2*(m + 4)**2/3
Determine t, given that t**4 + 17*t**3/2 - 233*t**2/2 + 56*t = 0.
-16, 0, 1/2, 7
Let -2*h**5/21 - 10*h**4/21 + 4*h**3/3 = 0. Calculate h.
-7, 0, 2
Let -2*r**2 + 88*r - 86 = 0. What is r?
1, 43
Solve -14*h**3/17 - 2412*h**2/17 - 104232*h/17 - 29584/17 = 0.
-86, -2/7
Factor -5*f**3 + 2115*f**2 - 12555*f + 18765.
-5*(f - 417)*(f - 3)**2
Factor 2*z**3/13 - 2*z**2/13 - 4*z/13.
2*z*(z - 2)*(z + 1)/13
Factor 2*t**3/3 + 8*t**2 - 26*t/3.
2*t*(t - 1)*(t + 13)/3
Factor z**2/3 + 10*z/3 + 25/3.
(z + 5)**2/3
Suppose -2*w**4/21 + 34*w**3/7 + 228*w**2/7 = 0. Calculate w.
-6, 0, 57
Let -3*x**5 + 15*x**4 - 9*x**3 - 15*x**2 + 12*x = 0. Calculate x.
-1, 0, 1, 4
Factor 4*m**3/5 + 708*m**2/5 + 28704*m/5 - 236992/5.
4*(m - 7)*(m + 92)**2/5
Let 2*v**2 + 68*v + 578 = 0. Calculate v.
-17
Find w, given that 240267*w**2/5 + 1698*w/5 + 3/5 = 0.
-1/283
Factor 2*w**3 - 23*w**2/5 + 16*w/5 - 3/5.
(w - 1)**2*(10*w - 3)/5
Determine b so that -5*b**5 + 200*b**4 - 1545*b**3 - 9430*b**2 - 3740*b + 14520 = 0.
-3, -2, 1, 22
Solve -2*q**2/3 + 62*q/3 - 72 = 0 for q.
4, 27
Let 2*y**5/15 - 26*y**4/3 + 84*y**3/5 + 4*y**2/15 - 254*y/15 + 42/5 = 0. What is y?
-1, 1, 63
Find r, given that r**3/5 + 38*r**2/5 + 396*r/5 + 648/5 = 0.
-18, -2
Factor -2*h**2 - 20336*h - 51694112.
-2*(h + 5084)**2
Factor 2*c**4 - 54*c**3 - 578*c**2 + 630*c.
2*c*(c - 35)*(c - 1)*(c + 9)
Factor 182*x**2 - 20*x.
2*x*(91*x - 10)
What is f in 2*f**4/9 + 6784*f**3/9 + 2876416*f**2/3 + 4878401536*f/9 + 1034221125632/9 = 0?
-848
Factor 2*r**4/7 + 6*r**3/7 + 4*r**2/7.
2*r**2*(r + 1)*(r + 2)/7
Factor r**2 + 77*r.
r*(r + 77)
Solve -g**4/5 - 4*g**3 - 131*g**2/5 - 304*g/5 - 192/5 = 0.
-8, -3, -1
Solve 15*b**5 - 54*b**4 + 258*b**3/5 - 12*b**2/5 - 9*b - 6/5 = 0.
-1/5, 1, 2
Factor 3*u**4/4 - 27*u**3/4 + 75*u**2/4 - 81*u/4 + 15/2.
3*(u - 5)*(u - 2)*(u - 1)**2/4
Let 90*v**4 - 57*v**3 - 84*v**2 + 57*v - 6 = 0. What is v?
-1, 2/15, 1/2, 1
Factor 354*t**3 + 34689*t**2 + 849660*t - 7203.
3*(t + 4