2 - 860*b = 0.
-43, -4, 0, 1
Factor -2*w**3/3 - 100*w**2 + 302*w/3.
-2*w*(w - 1)*(w + 151)/3
Factor -5*j**4 - 400*j**3 + 4440*j**2 - 5760*j - 32400.
-5*(j - 6)**2*(j + 2)*(j + 90)
Let 3*z**3 - 207*z**2 - 3*z + 207 = 0. What is z?
-1, 1, 69
Factor -3*s**2 - 99*s - 270.
-3*(s + 3)*(s + 30)
Determine c, given that 60*c**5 + 40*c**4 - 5*c**3 - 5*c**2 = 0.
-1/2, 0, 1/3
Factor t**3/7 - 19*t**2/7 + 55*t/7 + 75/7.
(t - 15)*(t - 5)*(t + 1)/7
Let 3*p**3 + 21*p**2 - 1107*p + 6075 = 0. What is p?
-25, 9
Suppose -2*z**4 + 370*z**3 - 1456*z**2 + 1448*z = 0. Calculate z.
0, 2, 181
Find o, given that -o**4 + 61*o**3 + 486*o**2 - 664*o - 1088 = 0.
-8, -1, 2, 68
Determine f so that -f**2 + 12*f - 36 = 0.
6
Suppose 15*t**5 + 9*t**4 - 111*t**3 + 27*t**2 + 96*t - 36 = 0. Calculate t.
-3, -1, 2/5, 1, 2
Factor 2*m**3/13 + 392*m**2/13 + 19208*m/13.
2*m*(m + 98)**2/13
Determine a, given that -64*a**3 + 76*a**2 + 116*a - 24 = 0.
-1, 3/16, 2
Find h such that -h**5 + 24*h**4 - 187*h**3 + 348*h**2 + 1664*h - 5376 = 0.
-3, 4, 7, 8
Determine g so that 2*g**3/11 - 556*g**2/11 + 150*g = 0.
0, 3, 275
Factor -2*v**3 + 152*v**2 - 150*v.
-2*v*(v - 75)*(v - 1)
Factor -5*u**2 + 15*u + 20.
-5*(u - 4)*(u + 1)
Find n such that 9*n**2 + 128*n + 240 = 0.
-12, -20/9
What is n in 7*n**2/2 - 47*n/2 - 27 = 0?
-1, 54/7
Suppose -3*p**2/7 + 1521*p/7 + 1524/7 = 0. Calculate p.
-1, 508
Factor -z**3 - 48*z**2 - 768*z - 4096.
-(z + 16)**3
Determine i so that 4*i**5 + 44*i**4 - 100*i**3 + 52*i**2 = 0.
-13, 0, 1
Factor 6*l**2/11 + 2*l - 8/11.
2*(l + 4)*(3*l - 1)/11
Factor 3*x**3/8 + 33*x**2/8 + 57*x/8 + 27/8.
3*(x + 1)**2*(x + 9)/8
Factor -2*j**4/3 + 244*j**3 - 22326*j**2.
-2*j**2*(j - 183)**2/3
Let -2*m**5 + 182*m**4 - 4038*m**3 - 5158*m**2 + 21712*m - 12696 = 0. What is m?
-3, 1, 46
Let 123*r**2 - 63*r = 0. What is r?
0, 21/41
Factor 5*t**3 + 95*t**2 - 110*t - 200.
5*(t - 2)*(t + 1)*(t + 20)
Factor -5*o**2 - 28*o - 15.
-(o + 5)*(5*o + 3)
Factor g**3 - 2*g**2 - 3*g.
g*(g - 3)*(g + 1)
Let -m**4/7 - 5*m**3/7 + 6*m**2/7 + 32*m/7 - 32/7 = 0. What is m?
-4, 1, 2
Factor -4*h**4 - 52*h**3 - 172*h**2 - 60*h + 288.
-4*(h - 1)*(h + 3)**2*(h + 8)
Find i such that 245*i**5 - 2590*i**4 + 1420*i**3 - 200*i**2 = 0.
0, 2/7, 10
Factor -s**3/4 + s**2/4.
-s**2*(s - 1)/4
Factor -5*h**3 - 185*h**2 - 1855*h - 5635.
-5*(h + 7)**2*(h + 23)
Factor -o**2 + 147*o + 450.
-(o - 150)*(o + 3)
Find a such that -4*a**3 - 172*a**2 - 332*a - 164 = 0.
-41, -1
Factor -b**3/6 + 161*b**2/3 - 4266*b - 8748.
-(b - 162)**2*(b + 2)/6
What is x in -5*x**2 + 15*x + 50 = 0?
-2, 5
Factor 2*y**4/5 - 40*y**3 + 540*y**2 - 2600*y + 4250.
2*(y - 85)*(y - 5)**3/5
Factor -8*h**4 - 5372*h**3 - 8046*h**2 - 4021*h - 670.
-(h + 670)*(2*h + 1)**3
Let o**3/5 - 16*o**2/5 + 64*o/5 = 0. Calculate o.
0, 8
Suppose -d**5/4 - 25*d**4/2 - 625*d**3/4 = 0. What is d?
-25, 0
Solve -3*o**4 + 15*o**3 - 9*o**2 - 27*o = 0 for o.
-1, 0, 3
Factor 4*c**4/3 + 16*c**3/3 + 4*c**2/3 - 8*c.
4*c*(c - 1)*(c + 2)*(c + 3)/3
Determine x so that x**4/3 - x**3/3 - x**2 + x/3 + 2/3 = 0.
-1, 1, 2
Determine b, given that -b**3 + 31*b**2/3 - 32*b/3 - 12 = 0.
-2/3, 2, 9
Solve -5*x**5 - 25*x**4 - 15*x**3 + 85*x**2 + 140*x + 60 = 0.
-3, -2, -1, 2
Factor -q**4/5 + 518*q**3/5 - 66561*q**2/5 - 26936*q - 13520.
-(q - 260)**2*(q + 1)**2/5
Determine o, given that -3*o**4 - 38*o**3 - 75*o**2 + 56*o + 60 = 0.
-10, -3, -2/3, 1
Suppose 28*v**5 + 96*v**4 + 36*v**3 = 0. Calculate v.
-3, -3/7, 0
Factor -2*g**2/13 - 34*g + 1344/13.
-2*(g - 3)*(g + 224)/13
Factor 3*c**5 - 33*c**4 + 102*c**3 - 72*c**2.
3*c**2*(c - 6)*(c - 4)*(c - 1)
Solve -2*y**4 - 6*y**3 - 2*y**2 + 6*y + 4 = 0 for y.
-2, -1, 1
What is o in 3*o**4 - 264*o**3 + 1020*o**2 - 1008*o = 0?
0, 2, 84
Factor 5*a**3 - 25*a**2 + 10*a + 40.
5*(a - 4)*(a - 2)*(a + 1)
Solve -h**2/5 - 54*h/5 - 729/5 = 0 for h.
-27
Factor -a**4/2 + 7*a**3/2 + 39*a**2/2 + 53*a/2 + 11.
-(a - 11)*(a + 1)**2*(a + 2)/2
Factor 2*t**3/7 - 12*t**2 + 450*t/7 - 648/7.
2*(t - 36)*(t - 3)**2/7
Factor 2*u**2/5 + 72*u/5 - 74/5.
2*(u - 1)*(u + 37)/5
Factor -f**3 - 12*f**2.
-f**2*(f + 12)
Determine z, given that -z**4 - 33*z**3 - 63*z**2 - 31*z = 0.
-31, -1, 0
Factor 2*v**4 + 56*v**3 + 310*v**2 + 304*v - 672.
2*(v - 1)*(v + 4)**2*(v + 21)
Factor 2*n**3 - 354*n**2 + 16512*n - 73960.
2*(n - 86)**2*(n - 5)
Factor 2*j**2/15 - 2804*j/15 + 982802/15.
2*(j - 701)**2/15
Factor 2*d**5/9 - 10*d**4/9 + 2*d**3 - 14*d**2/9 + 4*d/9.
2*d*(d - 2)*(d - 1)**3/9
Factor -g**2 - 422*g.
-g*(g + 422)
Suppose s**3/5 - s**2 - 66*s/5 = 0. What is s?
-6, 0, 11
Factor x**2 - 18*x.
x*(x - 18)
Suppose 293*m**3/5 + 584*m**2/5 + 289*m/5 - 2/5 = 0. What is m?
-1, 2/293
What is b in -12*b**4 + 17*b**3 + 2*b**2 - 7*b = 0?
-7/12, 0, 1
What is h in 2*h**3 + 4*h**2 - 14*h + 8 = 0?
-4, 1
Find x, given that -3*x**4/2 + 1503*x**3/2 + 3783*x**2 + 6066*x + 3036 = 0.
-2, -1, 506
Factor 3*z**3/7 + 183*z**2/7 - 186*z/7.
3*z*(z - 1)*(z + 62)/7
Factor -p**3/6 + 34*p**2 - 203*p/6.
-p*(p - 203)*(p - 1)/6
Suppose -2*p**3/11 - 14*p**2 - 3182*p/11 - 8214/11 = 0. What is p?
-37, -3
Find s such that -2*s**5/3 + 2*s**4 + 32*s**3/3 + 8*s**2 = 0.
-2, -1, 0, 6
Factor -2*j**3/11 + 34*j**2/11 + 624*j/11 + 2088/11.
-2*(j - 29)*(j + 6)**2/11
Factor 5*q**5/8 + 27*q**4/4 + 93*q**3/8 + 11*q**2/2.
q**2*(q + 1)**2*(5*q + 44)/8
Let l**3/4 + 19*l**2/4 + 16*l + 15 = 0. Calculate l.
-15, -2
Solve -4*r**5 - 26*r**4 - 64*r**3 - 74*r**2 - 40*r - 8 = 0 for r.
-2, -1, -1/2
Let -5*k**4 - 20*k**3 - 5*k**2 + 30*k = 0. What is k?
-3, -2, 0, 1
Let s**2/3 - 842*s/3 + 177241/3 = 0. Calculate s.
421
What is q in 2*q**2/7 + 2368*q/7 + 700928/7 = 0?
-592
Let -i**2 - 355*i + 1436 = 0. What is i?
-359, 4
Solve -4*j**3 + 9464*j**2 - 5588480*j - 11214848 = 0.
-2, 1184
Let 2*v**3 + 8*v**2 + 6*v = 0. Calculate v.
-3, -1, 0
Factor -3*f**3 + 81*f**2 - 366*f - 1080.
-3*(f - 20)*(f - 9)*(f + 2)
Factor -4*q**3 + 108*q**2 - 384*q + 368.
-4*(q - 23)*(q - 2)**2
Factor -5*w**2 + 15760*w - 12418880.
-5*(w - 1576)**2
Find p such that -5*p**3 - 365*p**2 - 7755*p - 38115 = 0.
-33, -7
Factor -r**2 + 45*r.
-r*(r - 45)
Factor -2*m**2/7 + 2*m/7.
-2*m*(m - 1)/7
Let -s**2 + 54*s + 55 = 0. What is s?
-1, 55
Let -2*t**4/5 - 16*t**3/5 + 138*t**2/5 + 504*t/5 = 0. What is t?
-12, -3, 0, 7
Suppose 3*q**5 + 51*q**4 - 111*q**3 + 57*q**2 = 0. What is q?
-19, 0, 1
Suppose 3*a**4 - 282*a**3 + 1611*a**2 - 2376*a = 0. What is a?
0, 3, 88
Factor o**5/4 + 27*o**4 + 696*o**3 - 8800*o**2 - 302016*o + 3066624.
(o - 12)**2*(o + 44)**3/4
Let -918*u**2 + 5500*u/3 + 16/3 = 0. Calculate u.
-4/1377, 2
Factor p**3/2 + 27*p**2/2 - 8*p - 216.
(p - 4)*(p + 4)*(p + 27)/2
Let -2*n**4/13 + 20*n**3/13 + 2*n**2 - 524*n/13 + 480/13 = 0. What is n?
-5, 1, 6, 8
Suppose 2*n**3/5 + 8*n**2 + 82*n/5 - 68 = 0. What is n?
-17, -5, 2
Factor -4*h**5 + 36*h**4 - 116*h**3 + 172*h**2 - 120*h + 32.
-4*(h - 4)*(h - 2)*(h - 1)**3
Factor -3*x**2/7 + 768*x/7 - 49152/7.
-3*(x - 128)**2/7
Suppose -4*j**3/3 - 1604*j**2/3 - 1592*j = 0. Calculate j.
-398, -3, 0
Find l, given that -2*l**3 + 18*l**2 + 42*l + 22 = 0.
-1, 11
Factor 5*z**5 - 15*z**4 - 10*z**3 + 60*z**2 - 40*z.
5*z*(z - 2)**2*(z - 1)*(z + 2)
Factor 5*d**3 + 255*d**2 + 495*d + 245.
5*(d + 1)**2*(d + 49)
Solve -2*z**2/9 - 4*z - 34/9 = 0 for z.
-17, -1
Let -12*w**4/5 - 206*w**3/5 - 24*w**2/5 + 34*w = 0. Calculate w.
-17, -1, 0, 5/6
Factor 5*a**3 - 215*a**2 + 2040*a - 5580.
5*(a - 31)*(a - 6)**2
Factor 3*s**5/4 + 15*s**4 + 435*s**3/4 + 705*s**2/2 + 525*s + 294.
3*(s + 2)**3*(s + 7)**2/4
Factor 147*t**3 + 30639*t**2 - 17544*t + 2508.
3*(t + 209)*(7*t - 2)**2
Factor -2*f**2 + 32*f - 120.
-2*(f - 10)*(f - 6)
What is w in -2*w**3 - 144*w**2 - 138*w + 284 = 0?
-71, -2, 1
Find b, given that -3*b**5/8 + 15*b**4/4 - 21*b**3/2 + 9*b**2 = 0.
0, 2, 6
Determine b so that -4*b**3 + 368*b**2 + 4*b - 368 = 0.
-1, 1, 92
Let 5*q**3 - 1730*q**2 + 153045*q - 584820 = 0. Calculate q.
4, 171
Factor z**3 - 31*z**2 + 55*z + 87.
(z - 29)*(z - 3)*(z + 1)
Factor 5*f**5 - 25*f**4 + 15*f**3 + 45*f**2.
5*f**2*(f - 3)**2*(f + 1)
Solve -3*l**4 + 15*l**3 - 3*l**2 - 63*l + 54 = 0 for l.
-2, 1, 3
Factor c**2 + 402*c + 1197.
(c + 3)*(c + 399)
Factor 75*a**2 - 140*a - 20.
5*(a - 2)*(15*a + 2)
Factor r**4/4 + 9*r**3 + 323*r**2/4 - 9*r - 81.
(r - 1)*(r + 1)*(r + 18)**2/4
What is f in 2*f**4 - 50*f**3 + 138*f**2 + 2610*f - 2700 = 0?