**2/6 - 533*s/6.
s*(s - 533)/6
Factor 2*x**4/9 - 2*x**3/9 - 8*x**2/9 + 8*x/9.
2*x*(x - 2)*(x - 1)*(x + 2)/9
Factor 2*k**4/3 - 436*k**3/3 + 856*k**2 - 5104*k/3 + 3392/3.
2*(k - 212)*(k - 2)**3/3
Let 4*a**5 - 72*a**4 + 176*a**3 + 672*a**2 = 0. Calculate a.
-2, 0, 6, 14
Factor -q**5/7 - 9*q**4/7 - 26*q**3/7 - 20*q**2/7 + 24*q/7 + 32/7.
-(q - 1)*(q + 2)**3*(q + 4)/7
Suppose -3*r**2/8 - 261*r/4 + 525/8 = 0. Calculate r.
-175, 1
Factor 2*h**2/5 - 1406*h/5.
2*h*(h - 703)/5
Factor -3*r**2/7 - 2742*r/7.
-3*r*(r + 914)/7
Suppose -3*a**4 - 66*a**3 - 339*a**2 - 312*a + 720 = 0. What is a?
-15, -4, 1
Factor -3*p**3 - 39*p**2 + 3*p + 39.
-3*(p - 1)*(p + 1)*(p + 13)
Suppose -v**4 + 12*v**3 - 28*v**2 - 48*v + 128 = 0. What is v?
-2, 2, 4, 8
Suppose -f**4/3 - 7*f**3/3 - 17*f**2/3 - 17*f/3 - 2 = 0. Calculate f.
-3, -2, -1
Factor -2*w**2/3 + 86*w.
-2*w*(w - 129)/3
Factor -2*f**2/9 - 98*f/3 - 580/9.
-2*(f + 2)*(f + 145)/9
Factor -o**3 - 8*o**2 - 16*o.
-o*(o + 4)**2
Factor h**2 + 1138*h + 323761.
(h + 569)**2
Factor -d**4/2 - 7*d**3/2 - 3*d**2 + 14*d + 20.
-(d - 2)*(d + 2)**2*(d + 5)/2
Suppose 51005*g**3 - 97970*g**2 - 8000*g - 160 = 0. Calculate g.
-4/101, 2
Solve w**4/3 + 167*w**3/3 = 0 for w.
-167, 0
Let -2*v**3/9 - 22*v**2/9 - 70*v/9 - 50/9 = 0. Calculate v.
-5, -1
Determine p so that -5*p**4 + 25*p**3 + 30*p**2 = 0.
-1, 0, 6
Solve -3*t**3 + 42*t**2 + 93*t + 48 = 0 for t.
-1, 16
Factor -6*d**3 - 92*d**2 - 26*d + 60.
-2*(d + 1)*(d + 15)*(3*d - 2)
Factor -5*c**3 + 2970*c**2 - 588060*c + 38811960.
-5*(c - 198)**3
Determine h so that h**5/4 + h**4 + 3*h**3/4 = 0.
-3, -1, 0
Factor -r**3 + 19*r**2 - 55*r - 363.
-(r - 11)**2*(r + 3)
Factor -3*q**2/5 - 51*q/5 - 216/5.
-3*(q + 8)*(q + 9)/5
Let 1976*x**4 + 2972*x**3 + 12*x**2 = 0. What is x?
-3/2, -1/247, 0
Factor 5*f**2 - 480*f + 475.
5*(f - 95)*(f - 1)
Factor 3*b**4 - 48*b**3 + 117*b**2.
3*b**2*(b - 13)*(b - 3)
Factor 2187*b**3/7 - 304722*b**2/7 + 14152644*b/7 - 219103896/7.
3*(9*b - 418)**3/7
Suppose -a**2 + 6*a + 16 = 0. Calculate a.
-2, 8
Find o, given that -2*o**4 - 8*o**3 + 214*o**2 + 660*o = 0.
-11, -3, 0, 10
Factor -2*m**3/13 - 8952*m**2/13 - 13356384*m/13 - 6642574976/13.
-2*(m + 1492)**3/13
Let 9*j**2 + 3093*j - 1032 = 0. What is j?
-344, 1/3
Suppose -o**2/2 + 239*o/2 - 699 = 0. What is o?
6, 233
Solve 2*i**5/5 - 4*i**4 + 64*i**3/5 - 52*i**2/5 - 66*i/5 + 72/5 = 0 for i.
-1, 1, 3, 4
What is s in 2*s**4/9 - 28*s**3/9 + 40*s**2/3 - 100*s/9 - 250/9 = 0?
-1, 5
Factor -f**2/2 + 17*f/2 - 33.
-(f - 11)*(f - 6)/2
Let 76*h**4/7 - 88*h**3/7 - 20*h**2 + 24*h/7 = 0. Calculate h.
-1, 0, 3/19, 2
Determine a, given that -4*a**3/5 - 12*a**2/5 + 36*a/5 - 4 = 0.
-5, 1
Suppose r**4/5 - 21*r**3/5 - 24*r**2/5 + 44*r/5 = 0. What is r?
-2, 0, 1, 22
Find d, given that -3*d**5 + 72*d**4 + 156*d**3 = 0.
-2, 0, 26
Factor 3*o**4 + 420*o**3 + 828*o**2.
3*o**2*(o + 2)*(o + 138)
Find g, given that g**5/4 + g**4/2 + g**3/4 = 0.
-1, 0
Find a such that 2*a**5 - 24*a**4 + 20*a**3 + 24*a**2 - 22*a = 0.
-1, 0, 1, 11
Factor -2*v**3 - 14*v**2 + 72.
-2*(v - 2)*(v + 3)*(v + 6)
Factor -f**2/5 - 28*f - 980.
-(f + 70)**2/5
Factor 20*u**3 - 25*u**2 - 255*u + 450.
5*(u - 3)*(u - 2)*(4*u + 15)
Suppose 5*r**3 - 690*r**2 + 685*r = 0. What is r?
0, 1, 137
Let q**4/4 - 2*q**3 - 33*q**2/4 - q + 11 = 0. Calculate q.
-2, 1, 11
Suppose b**4 - 119*b**3 + 235*b**2 - 117*b = 0. Calculate b.
0, 1, 117
Factor -2*o**3 - 40*o**2 + 2*o + 40.
-2*(o - 1)*(o + 1)*(o + 20)
Factor k**3/6 + k**2/6 - 3*k/2 - 3/2.
(k - 3)*(k + 1)*(k + 3)/6
Let 84*d**5 - 36*d**4 - 783*d**3 + 336*d**2 + 243*d - 108 = 0. What is d?
-3, -4/7, 1/2, 3
Determine q, given that q**2/4 + 125*q/4 = 0.
-125, 0
Factor r**3/6 - r**2/3 - 7*r/6 - 2/3.
(r - 4)*(r + 1)**2/6
Factor 2*j**4/7 + 6*j**3/7 - 18*j**2/7 + 10*j/7.
2*j*(j - 1)**2*(j + 5)/7
Suppose x**4/5 + 4*x**3/5 + 4*x**2/5 = 0. Calculate x.
-2, 0
Factor -t**5 - 6*t**4 + 16*t**3 - 2*t**2 - 15*t + 8.
-(t - 1)**3*(t + 1)*(t + 8)
Determine g, given that -2*g**3/9 + 34*g**2/9 - 112*g/9 + 104/9 = 0.
2, 13
Let 36*t**3 - 4332*t**2 - 2900*t - 484 = 0. What is t?
-1/3, 121
Suppose 3*l**5 + 39*l**4 - 1059*l**3 - 11067*l**2 + 55488*l - 58956 = 0. Calculate l.
-17, 2, 17
Determine o so that -49*o**5/4 - 8435*o**4/4 - 177549*o**3/2 + 339957*o**2/2 - 384453*o/4 + 68121/4 = 0.
-87, 3/7, 1
Factor 2*q**5 - 10*q**4 + 8*q**3.
2*q**3*(q - 4)*(q - 1)
What is s in 2*s**2/7 + 2812*s/7 + 5616/7 = 0?
-1404, -2
Suppose 3*g**4/7 + 153*g**3/7 + 297*g**2/7 + 21*g = 0. Calculate g.
-49, -1, 0
Factor 3*p**3 + 96*p**2.
3*p**2*(p + 32)
Suppose -i**2/4 - 33*i/4 - 135/2 = 0. What is i?
-18, -15
Let 2*s**3 + 526*s**2 = 0. What is s?
-263, 0
Find z such that z**4/4 + 1409*z**3/4 + 2815*z**2/4 + 1407*z/4 = 0.
-1407, -1, 0
Factor 2*j**3/11 + 58*j**2/11 - 64*j/11 - 120/11.
2*(j - 2)*(j + 1)*(j + 30)/11
Find i, given that 2*i**5 + 10*i**4 - 62*i**3 + 86*i**2 - 36*i = 0.
-9, 0, 1, 2
Suppose -h**2/5 + 1294*h/5 = 0. Calculate h.
0, 1294
Factor 5*m**3 - 1335*m**2.
5*m**2*(m - 267)
Suppose -q**4 - 2*q**3 + 15*q**2 - 4*q - 20 = 0. Calculate q.
-5, -1, 2
Determine d so that 123*d**3 - 18*d**2 - 123*d + 18 = 0.
-1, 6/41, 1
What is a in 5*a**5/2 - 10*a**4 - 75*a**3/2 + 45*a**2 = 0?
-3, 0, 1, 6
Solve -4*r**3/7 - 2540*r**2/7 - 401952*r/7 + 404496/7 = 0 for r.
-318, 1
Determine o, given that 4*o**5/5 + 53*o**4/5 + 61*o**3/5 + 12*o**2/5 = 0.
-12, -1, -1/4, 0
Factor -4*w**4 - 360*w**3 - 7348*w**2 + 33840*w - 35344.
-4*(w - 2)**2*(w + 47)**2
What is z in -2*z**4/7 + 8*z**3 + 1818*z**2/7 + 11560*z/7 + 1400 = 0?
-10, -1, 49
Find m, given that 24*m**2/7 - 81*m/7 = 0.
0, 27/8
Factor -69*z**2 + 348*z - 15.
-3*(z - 5)*(23*z - 1)
Let 5*v**5 - 90*v**4 - 110*v**3 + 260*v**2 + 465*v + 190 = 0. What is v?
-1, 2, 19
Determine x, given that -x**4/7 - 2*x**3/7 + x**2 + 20*x/7 + 12/7 = 0.
-2, -1, 3
Let -i**2 - 28*i + 1173 = 0. What is i?
-51, 23
What is c in 4*c**5 - 30*c**4 - 18*c**3 + 16*c**2 = 0?
-1, 0, 1/2, 8
What is t in -4*t**5/7 + 60*t**4/7 + 932*t**3/7 + 1668*t**2/7 + 800*t/7 = 0?
-8, -1, 0, 25
Suppose -4*b**4 + 24*b**3 + 32*b**2 - 24*b - 28 = 0. Calculate b.
-1, 1, 7
Factor 3*y**4/5 - 42*y**3/5 + 21*y**2 - 66*y/5.
3*y*(y - 11)*(y - 2)*(y - 1)/5
Factor -45*u**2/2 - 579*u/2 + 39.
-3*(u + 13)*(15*u - 2)/2
Find r, given that 21*r**5/2 + 111*r**4/2 - 111*r**3 - 414*r**2 - 108*r = 0.
-6, -2, -2/7, 0, 3
Determine h so that -2*h**2 + 1346*h - 1344 = 0.
1, 672
Determine f so that 5*f**3 + 35*f**2 + 50*f = 0.
-5, -2, 0
Suppose 2*u**3/9 + 2*u**2/3 - 8*u + 64/9 = 0. What is u?
-8, 1, 4
Suppose n**3 + 144*n**2 - n - 144 = 0. Calculate n.
-144, -1, 1
Factor 3*w**5 + 9*w**4 - 126*w**3 + 294*w**2 - 261*w + 81.
3*(w - 3)*(w - 1)**3*(w + 9)
Find y such that -2*y**4/7 - 46*y**3/7 + 1872*y**2/7 - 2432*y + 48128/7 = 0.
-47, 8
What is j in -j**4/4 + 33*j**3/4 + 149*j**2/4 - 33*j/4 - 37 = 0?
-4, -1, 1, 37
Find h, given that 8*h**3 + 18*h**2 - 636*h - 160 = 0.
-10, -1/4, 8
Solve -2*g**5/5 - 6*g**4/5 + 46*g**3/5 - 66*g**2/5 + 28*g/5 = 0.
-7, 0, 1, 2
What is a in 3*a**5/2 - a**4/2 - 3*a**3/2 + a**2/2 = 0?
-1, 0, 1/3, 1
Factor -i**2/7 - 4*i/7 + 5/7.
-(i - 1)*(i + 5)/7
Factor -2*y**4 + 12*y**3 + 14*y**2.
-2*y**2*(y - 7)*(y + 1)
Factor y**5 - 11*y**4 + 31*y**3 + 19*y**2 - 104*y - 80.
(y - 5)*(y - 4)**2*(y + 1)**2
Factor 4*l**2/9 - 1360*l/9 + 115600/9.
4*(l - 170)**2/9
Factor -w**3 - 1016*w**2 - 258064*w.
-w*(w + 508)**2
Let 18*f**5 + 728*f**4 + 30266*f**3/9 - 21532*f**2/9 - 13768*f/9 - 560/3 = 0. What is f?
-35, -6, -2/9, 1
Factor 150*z**3 + 3860*z**2 + 27206*z + 29768.
2*(3*z + 4)*(5*z + 61)**2
Determine r so that -9*r**2/2 - 67*r/3 + 5/6 = 0.
-5, 1/27
Solve -7*u**5/2 + 19*u**4/2 + 66*u**3 + 32*u**2 - 80*u - 24 = 0.
-2, -2/7, 1, 6
Let -32*a**2/7 + 1116*a/7 + 20 = 0. Calculate a.
-1/8, 35
Solve 4*h**5/7 + 110*h**4/7 + 920*h**3/7 + 2200*h**2/7 + 960*h/7 - 1152/7 = 0 for h.
-12, -2, 1/2
Factor 78*u**2/5 - 152*u/5 - 8/5.
2*(u - 2)*(39*u + 2)/5
Find t, given that -3*t**4/5 - 9*t**3/5 + 48*t**2/5 - 36*t/5 = 0.
-6, 0, 1, 2
What is l in 3*l**2 + 36*l - 84 = 0?
-14, 2
Let -5*s**2 + 95*s - 90 = 0. What is s?
1, 18
Factor 8*u**3 - 82*u**2 + 92*u - 18.
2*(u - 9)*(u - 1)*(4*u - 1)
Let -m**3/5 + 7*m**2/5 + 56*m/5 + 48/5 = 0. Calculate m.
-4, -1, 12
Find u, given that -4*u**3/3 - 16*u**2/3 + 28*u = 0.
-7, 0, 3
Find d, given that d**4/4 - d**3/2 = 0.
0, 