 663)**2/3
Determine a, given that -a**5/8 - 7*a**4/4 - 7*a**3/4 + 53*a**2/2 + 15*a/8 - 99/4 = 0.
-11, -6, -1, 1, 3
Factor -v**3 + 356*v**2 - 31684*v.
-v*(v - 178)**2
Factor -16*r**4 + 76*r**3 + 20*r**2.
-4*r**2*(r - 5)*(4*r + 1)
Factor j**2/4 - 131*j/2 + 17161/4.
(j - 131)**2/4
Factor -4*d**5/7 - 32*d**4/7 + 76*d**3/7 - 40*d**2/7.
-4*d**2*(d - 1)**2*(d + 10)/7
What is f in -3*f**2 + 3 = 0?
-1, 1
Factor -25*c**2 + 310*c/3 - 40/3.
-5*(c - 4)*(15*c - 2)/3
Solve -3*j**5 - 87*j**4 - 240*j**3 - 156*j**2 = 0.
-26, -2, -1, 0
Factor -5*s**2 + 1195*s + 1200.
-5*(s - 240)*(s + 1)
Determine h, given that h**5/3 - h**4/3 - 11*h**3/3 - 7*h**2/3 + 10*h/3 + 8/3 = 0.
-2, -1, 1, 4
Factor -5*n**3 + 255*n**2 + 1125*n - 1375.
-5*(n - 55)*(n - 1)*(n + 5)
Determine q so that -q**2 - 160*q - 316 = 0.
-158, -2
Factor -s**3/2 - 15*s**2/2 - 75*s/2 - 125/2.
-(s + 5)**3/2
What is y in -2*y**4/3 + 58*y**3/3 + 62*y**2/3 - 58*y/3 - 20 = 0?
-1, 1, 30
Let -w**5/5 + 3*w**4/5 + w**3/5 - 11*w**2/5 + 12*w/5 - 4/5 = 0. What is w?
-2, 1, 2
Determine v, given that -v**2/8 + 3465*v/4 - 12006225/8 = 0.
3465
Factor -3*s**3 + 840*s**2 - 58800*s.
-3*s*(s - 140)**2
What is k in k**5/5 + 5*k**4 + 187*k**3/5 + 363*k**2/5 = 0?
-11, -3, 0
What is k in -4*k**3 - 28*k**2 - 24*k = 0?
-6, -1, 0
Factor -o**3/5 + 8*o**2/5 + 364*o/5 - 784.
-(o - 14)**2*(o + 20)/5
Factor -3*t**5/7 - 12*t**4/7 - 15*t**3/7 - 6*t**2/7.
-3*t**2*(t + 1)**2*(t + 2)/7
Factor -z**4 - 269*z**3 - 18738*z**2 - 85536*z + 104544.
-(z - 1)*(z + 6)*(z + 132)**2
Factor 2*n**2/9 + 812*n/9 + 1072/3.
2*(n + 4)*(n + 402)/9
Factor -3*p**2 + 111*p.
-3*p*(p - 37)
Let -5*p**2 - 1010*p - 11400 = 0. Calculate p.
-190, -12
Suppose 3*p**2 - 294*p - 297 = 0. What is p?
-1, 99
Suppose 2*i**5 + 174*i**4 - 178*i**3 - 174*i**2 + 176*i = 0. Calculate i.
-88, -1, 0, 1
Find x such that -5*x**4 + 10*x**3 + 55*x**2 - 60*x = 0.
-3, 0, 1, 4
Determine w so that 2*w**5/5 + 14*w**4 - 316*w**3/5 - 132*w**2/5 + 954*w/5 + 702/5 = 0.
-39, -1, 3
Suppose -4*q**2/7 + 28376*q/7 - 50324836/7 = 0. What is q?
3547
Let t**3 + 5*t**2 + 2*t - 8 = 0. Calculate t.
-4, -2, 1
Find d, given that 25*d**2 - 60*d + 35 = 0.
1, 7/5
Factor 8315042*n**2 + 16312*n + 8.
2*(2039*n + 2)**2
Factor -5*i**2 - 225*i + 720.
-5*(i - 3)*(i + 48)
Factor -5*f**3 - 335*f**2 - 960*f.
-5*f*(f + 3)*(f + 64)
Solve -5*j**5 + 10*j**4 - 10*j**2 + 5*j = 0 for j.
-1, 0, 1
Factor 2*d**4/7 + 116*d**3/7 + 640*d**2/7 + 832*d/7.
2*d*(d + 2)*(d + 4)*(d + 52)/7
Determine i, given that 4*i**3 - 80*i**2 + 76*i = 0.
0, 1, 19
Factor g**2/3 - 565*g/3 + 188.
(g - 564)*(g - 1)/3
Factor 3*x**5 - 42*x**4 - 558*x**3 - 1392*x**2 - 1293*x - 414.
3*(x - 23)*(x + 1)**3*(x + 6)
Factor -t**4 - 4*t**3 - 6*t**2 - 4*t - 1.
-(t + 1)**4
Factor 2*i**4 - 60*i**3 - 126*i**2 - 64*i.
2*i*(i - 32)*(i + 1)**2
Suppose -2*d**2 + 5916*d - 4374882 = 0. Calculate d.
1479
Factor 140*c**3 + 396*c**2 + 208*c - 48.
4*(c + 1)*(c + 2)*(35*c - 6)
Let 4*t**5 + 24*t**4 + 24*t**3 - 80*t**2 - 156*t - 72 = 0. What is t?
-3, -1, 2
Factor 3*x**2 + 2508*x - 2511.
3*(x - 1)*(x + 837)
Factor 2*g**3/9 + 56*g**2/9 + 110*g/3 - 100.
2*(g - 2)*(g + 15)**2/9
Factor -d**5 - 10*d**4 - 23*d**3 - 14*d**2.
-d**2*(d + 1)*(d + 2)*(d + 7)
Factor -3364*j**3 + 80156*j**2 - 434880*j - 518400.
-4*(j + 1)*(29*j - 360)**2
Determine m so that 2*m**5/3 - 8*m**3/3 - 4*m**2/3 + 2*m + 4/3 = 0.
-1, 1, 2
Suppose 11*s**2/2 + 115*s/4 + 25/4 = 0. Calculate s.
-5, -5/22
Factor 4*w**3/3 + 272*w**2/3 - 692*w + 600.
4*(w - 6)*(w - 1)*(w + 75)/3
Factor -5*i**2 + 5250*i - 1378125.
-5*(i - 525)**2
Let -3*h**5 - 15*h**4 + 24*h**3 + 36*h**2 = 0. What is h?
-6, -1, 0, 2
Let 4*j**2 - 5448*j + 5444 = 0. What is j?
1, 1361
Factor -2*a**4 - 2*a**3 + 32*a**2 - 40*a.
-2*a*(a - 2)**2*(a + 5)
Let 5*u**3 + 205*u**2 + 1675*u + 3875 = 0. Calculate u.
-31, -5
Factor 2*k**4/5 + 2*k**3 - 8*k**2/5 - 88*k/5 - 96/5.
2*(k - 3)*(k + 2)**2*(k + 4)/5
Find m, given that 2*m**3/9 + 74*m**2/9 + 68*m/9 - 16 = 0.
-36, -2, 1
Factor 3*g**2/4 - 351*g/2 + 41067/4.
3*(g - 117)**2/4
Solve -d**2/9 - 82*d/9 - 1681/9 = 0.
-41
Factor -2*j**2/3 + 156*j + 944/3.
-2*(j - 236)*(j + 2)/3
Determine i, given that 2*i**3 + 330*i**2 + 328*i = 0.
-164, -1, 0
Suppose 5*p**4 - 230*p**3 + 1780*p**2 - 4330*p + 2775 = 0. Calculate p.
1, 3, 5, 37
Determine n so that 5*n**4 - 330*n**3 + 3105*n**2 + 77220*n + 273780 = 0.
-6, 39
Factor 3*m**4 + 63*m**3 - 3*m**2 - 63*m.
3*m*(m - 1)*(m + 1)*(m + 21)
Factor -108*x**5 - 108*x**4 + 180*x**3 - 68*x**2 + 8*x.
-4*x*(x + 2)*(3*x - 1)**3
Find y, given that 4*y**5 + 58*y**4/3 + 34*y**3 + 82*y**2/3 + 10*y + 4/3 = 0.
-2, -1, -1/2, -1/3
Factor -2*c**3/7 - 390*c**2/7 - 774*c/7 - 386/7.
-2*(c + 1)**2*(c + 193)/7
Find w, given that 4*w**2 - 188*w + 360 = 0.
2, 45
What is j in j**3/2 + 2*j**2 + j/2 - 3 = 0?
-3, -2, 1
Factor -3*v**3 + 939*v**2 - 1869*v + 933.
-3*(v - 311)*(v - 1)**2
Factor 3*r**2 + 24*r - 144.
3*(r - 4)*(r + 12)
Let -d**3/3 + 128*d**2/3 - 4096*d/3 = 0. What is d?
0, 64
Let 5*z**2 + 360*z + 355 = 0. What is z?
-71, -1
Suppose -5*h**4 + 385*h**3 + 400*h**2 - 780*h = 0. What is h?
-2, 0, 1, 78
Factor -l**3 - 50*l**2 + 327*l - 504.
-(l - 3)**2*(l + 56)
Find p, given that p**3/4 + 1151*p**2/4 - 1731*p/2 = 0.
-1154, 0, 3
Solve 6*v**4 + 75*v**3 + 201*v**2 + 96*v - 108 = 0.
-9, -2, 1/2
Factor v**5/5 - 64*v**4/5 + 25*v**3 - 62*v**2/5.
v**2*(v - 62)*(v - 1)**2/5
What is a in a**4 - 6*a**3 - 97*a**2 + 318*a - 216 = 0?
-9, 1, 2, 12
Suppose -3*x**3/2 + 255*x**2/2 - 6201*x/2 + 31941/2 = 0. Calculate x.
7, 39
Factor -u**2/4 - 13*u/4 + 99/2.
-(u - 9)*(u + 22)/4
Factor -27*b**2/4 + 147*b/2 + 33/4.
-3*(b - 11)*(9*b + 1)/4
Factor 1600*t**2 + 80*t + 1.
(40*t + 1)**2
Factor -2*h**2/7 + 92*h - 7406.
-2*(h - 161)**2/7
Factor -2*r**2 - 182*r - 180.
-2*(r + 1)*(r + 90)
Factor -5*d**2 - 190*d - 525.
-5*(d + 3)*(d + 35)
Factor a**3/4 - 9*a**2/2 - 67*a/4 + 21.
(a - 21)*(a - 1)*(a + 4)/4
Factor 2*a**4 + 82*a**3 + 78*a**2 - 82*a - 80.
2*(a - 1)*(a + 1)**2*(a + 40)
Factor 2*m**3 - 4277*m**2 + 2283380*m + 3434700.
(m - 1070)**2*(2*m + 3)
Suppose -8*f**5 + 236*f**4 + 624*f**3 + 508*f**2 + 128*f = 0. What is f?
-1, -1/2, 0, 32
Find x such that 4*x**5/7 - 2192*x**4/7 + 42900*x**3 + 2192*x**2/7 - 300304*x/7 = 0.
-1, 0, 1, 274
Suppose 3*z**4 + 864*z**3 + 2574*z**2 + 2568*z + 855 = 0. What is z?
-285, -1
Factor 2*q**2/11 - 444*q/11 + 442/11.
2*(q - 221)*(q - 1)/11
Suppose 3*u**2 + 36*u - 39 = 0. What is u?
-13, 1
Factor 4*s**5 + 144*s**4 + 1724*s**3 + 6768*s**2 - 1728*s - 6912.
4*(s - 1)*(s + 1)*(s + 12)**3
Factor -7*s**2/9 - 26*s/9 + 8/9.
-(s + 4)*(7*s - 2)/9
Let -g**3/4 - 2*g**2 - 17*g/4 - 5/2 = 0. Calculate g.
-5, -2, -1
Solve 5*v**4 + 460*v**3 - 15*v**2 - 1390*v - 920 = 0 for v.
-92, -1, 2
Find x, given that 3*x**5 + 18*x**4 + 27*x**3 - 12*x**2 - 36*x = 0.
-3, -2, 0, 1
Factor -3*q**3/5 - 9*q**2/5 + 18*q/5 + 24/5.
-3*(q - 2)*(q + 1)*(q + 4)/5
Let -2*k**4 - 8*k**3 + 12*k**2 + 8*k - 10 = 0. What is k?
-5, -1, 1
Suppose r**5/5 - 8*r**4/5 + 4*r**3/5 + 26*r**2/5 - 37*r/5 + 14/5 = 0. What is r?
-2, 1, 7
Factor 8*w**3 - 4*w**2.
4*w**2*(2*w - 1)
Factor j**3 + 51*j**2 + 624*j - 676.
(j - 1)*(j + 26)**2
Determine a so that 20*a**5 - 25*a**4 - 175*a**3 + 225*a**2 - 45*a = 0.
-3, 0, 1/4, 1, 3
Let 2*y**3 + 70*y**2 + 628*y + 560 = 0. Calculate y.
-20, -14, -1
Find x such that -x**5/6 - 5*x**4/6 + x**3/2 + 13*x**2/6 - 5*x/3 = 0.
-5, -2, 0, 1
Suppose 2*k**3/11 - 2*k**2 - 112*k/11 - 120/11 = 0. Calculate k.
-2, 15
Solve v**2/2 - 2 = 0.
-2, 2
Suppose 228*r**4 - 7516*r**3 + 82500*r**2 - 300564*r - 10648 = 0. What is r?
-2/57, 11
What is b in 2*b**2/7 + 628*b/7 = 0?
-314, 0
Suppose -6*w**5/5 - 346*w**4/15 + 302*w**3/15 + 142*w**2/5 - 284*w/15 - 16/3 = 0. Calculate w.
-20, -1, -2/9, 1
Factor -3*y**2 + 18*y + 165.
-3*(y - 11)*(y + 5)
Factor -5*p**3/3 - 85*p**2/3 + 290*p/3 - 200/3.
-5*(p - 2)*(p - 1)*(p + 20)/3
Find g such that 4*g**3/3 - 136*g**2/3 + 604*g/3 - 232 = 0.
2, 3, 29
Find p such that 2*p**2/3 - 124*p/3 = 0.
0, 62
Find i such that 2*i**3/3 + 2472*i**2 + 2291544*i = 0.
-1854, 0
Factor -2*x**3/13 - 2*x**2 + 10*x - 102/13.
-2*(x - 3)*(x - 1)*(x + 17)/13
Solve -4*t**5/7 - 20*t**4/7 + 12*t**3 - 92*t**2/7 + 32*t/7 = 0.
-8, 0, 1
What is q in 6*q**5/7 + 157*q**4/7 + 25*q**3 - q**2/7 - 25*q/7 = 0?
-25, -1, -1/2, 0, 1/3
Factor -4*l**3 + 28*l**2 + 96*l - 720.
