3 = 0 for q.
-139/6, 1
Factor 4*o**3 - 2*o**2 - 2*o.
2*o*(o - 1)*(2*o + 1)
Determine a so that 4*a**2/5 + 704*a/5 + 30976/5 = 0.
-88
Suppose -3*s**2/5 - 18*s + 648/5 = 0. What is s?
-36, 6
What is t in 2*t**5/13 + 12*t**4/13 - 50*t**3/13 - 180*t**2/13 + 648*t/13 - 432/13 = 0?
-6, 1, 2, 3
Let 2*l**3/7 - 18*l**2/7 + 48*l/7 - 40/7 = 0. What is l?
2, 5
Factor y**3 + 45*y**2 - 25*y - 1125.
(y - 5)*(y + 5)*(y + 45)
Factor 14*g**3/3 - 76*g**2 - 58*g + 68/3.
2*(g - 17)*(g + 1)*(7*g - 2)/3
Factor -63*m**2 + 503*m + 8.
-(m - 8)*(63*m + 1)
Factor 3*o**5 + 84*o**4 - 180*o**3 + 6*o**2 + 177*o - 90.
3*(o - 1)**3*(o + 1)*(o + 30)
What is s in -s**4/4 + 187*s**3/4 + 189*s**2/2 = 0?
-2, 0, 189
Factor -2*y**3 - 668*y**2 + 2*y + 668.
-2*(y - 1)*(y + 1)*(y + 334)
Factor h**2/3 + 4*h/3 - 7.
(h - 3)*(h + 7)/3
Factor 3*c**4/2 + 654*c**3 + 2607*c**2/2 + 651*c.
3*c*(c + 1)**2*(c + 434)/2
Find q, given that q**5 + 52*q**4 + 622*q**3 - 1404*q**2 + 729*q = 0.
-27, 0, 1
Factor n**3 + 147*n**2 + 434*n + 288.
(n + 1)*(n + 2)*(n + 144)
Let -o**5 - 37*o**4 - 394*o**3 - 970*o**2 - 901*o - 289 = 0. What is o?
-17, -1
Factor 2*i**3/5 + 124*i**2/5 - 816*i/5.
2*i*(i - 6)*(i + 68)/5
Suppose 2*d**4 + 50*d**3 + 356*d**2 + 888*d + 720 = 0. What is d?
-15, -6, -2
Suppose -2*k**2/9 + 1900*k/9 - 451250/9 = 0. Calculate k.
475
Determine p, given that 3*p**5 + 21*p**4 + 33*p**3 + 15*p**2 = 0.
-5, -1, 0
Suppose 3*k**2 + 213*k - 216 = 0. Calculate k.
-72, 1
Factor h**3/6 + 2*h**2 + 15*h/2 + 9.
(h + 3)**2*(h + 6)/6
Factor -x**3 - 546*x**2 - 99372*x - 6028568.
-(x + 182)**3
Determine w so that -2*w**4/3 + 6*w**3 - 28*w**2/3 = 0.
0, 2, 7
Let -2*i**4/15 + 6*i**3/5 + 74*i**2/15 - 6*i/5 - 24/5 = 0. What is i?
-3, -1, 1, 12
Factor i**4 - 5*i**3 - 21*i**2 - 23*i - 8.
(i - 8)*(i + 1)**3
Factor -2*y**2 - 54*y + 1376.
-2*(y - 16)*(y + 43)
Factor 18*a**4 + 57*a**3 + 63*a**2 + 27*a + 3.
3*(a + 1)**3*(6*a + 1)
Factor 5*d**3 - 410*d**2 + 8405*d.
5*d*(d - 41)**2
Let 3*l**3 + 63*l**2 - 558*l + 840 = 0. Calculate l.
-28, 2, 5
Suppose -p**5 - 29*p**4 + 42*p**3 + 332*p**2 - 824*p + 480 = 0. What is p?
-30, -4, 1, 2
Factor 4*j**4/7 + 1304*j**3/7 + 106276*j**2/7.
4*j**2*(j + 163)**2/7
Factor 4*l**2 - 24*l - 220.
4*(l - 11)*(l + 5)
Factor -28*u**2 - 19396*u + 5544.
-4*(u + 693)*(7*u - 2)
What is j in 90*j**4 + 295*j**3 + 245*j**2 + 20*j - 20 = 0?
-2, -1, -1/2, 2/9
Factor -6*l**2 + 27*l + 540.
-3*(l - 12)*(2*l + 15)
Factor 5*y**2 - 2445*y.
5*y*(y - 489)
Solve -2*j**4 - 43*j**3/6 - 23*j**2/3 - 17*j/6 - 1/3 = 0.
-2, -1, -1/3, -1/4
Factor 15*t**5 + 1135*t**4 + 750*t**3.
5*t**3*(t + 75)*(3*t + 2)
Determine o so that 2*o**3/17 + 370*o**2/17 - 372*o/17 = 0.
-186, 0, 1
Let 2*t**2 - 38*t = 0. What is t?
0, 19
Factor 2*w**4 - 8*w**2.
2*w**2*(w - 2)*(w + 2)
Suppose -5*s**2 + 6240*s = 0. What is s?
0, 1248
Let -4*p**3 + 12780*p**2 - 13610700*p + 4831798500 = 0. What is p?
1065
Factor -k**5/2 + 5*k**4/2 - 3*k**3/2 - 9*k**2/2.
-k**2*(k - 3)**2*(k + 1)/2
Factor 3*m**5 + 186*m**4 + 360*m**3.
3*m**3*(m + 2)*(m + 60)
Factor -t**2/3 + 11*t/3 - 28/3.
-(t - 7)*(t - 4)/3
Suppose -5*a**3 - 2685*a**2 - 359115*a + 361805 = 0. Calculate a.
-269, 1
Suppose -49*w**2 - 28*w - 3 = 0. What is w?
-3/7, -1/7
Determine b so that 4*b**5 - 168*b**4 - 3932*b**3 - 22704*b**2 - 34304*b - 15360 = 0.
-8, -1, 60
Solve 2*g**5/7 - 6*g**4 - 94*g**3/7 + 6*g**2 + 92*g/7 = 0 for g.
-2, -1, 0, 1, 23
Let 75*o**4/8 - 75*o**3/2 - 3807*o**2/8 + 999*o/2 - 243/2 = 0. What is o?
-6, 2/5, 3/5, 9
Let 3*a**4/7 + 156*a**3/7 + 2442*a**2/7 + 10764*a/7 + 14283/7 = 0. What is a?
-23, -3
Suppose u**4/4 - 3*u**3/4 - 35*u**2/4 + 39*u/4 + 35/2 = 0. Calculate u.
-5, -1, 2, 7
Factor 57*y**3/4 - 21*y**2 - 87*y/4 + 27/2.
3*(y - 2)*(y + 1)*(19*y - 9)/4
Determine t so that t**2/6 - 22*t/3 - 46/3 = 0.
-2, 46
Find y, given that 432*y**5/5 - 4284*y**4/5 - 5136*y**3/5 - 159*y**2/5 + 294*y/5 + 33/5 = 0.
-1, -1/6, 1/4, 11
Determine h so that 5*h**4 - 115*h**3 + 405*h**2 - 485*h + 190 = 0.
1, 2, 19
Solve 3*t**4 - 67*t**3/2 + 3*t**2 + 55*t/2 = 0.
-5/6, 0, 1, 11
Suppose -7*i**5 - 58*i**4 - 156*i**3 - 152*i**2 - 32*i = 0. What is i?
-4, -2, -2/7, 0
Factor -28*f**4 - 32*f**3 + 72*f**2 + 128*f + 52.
-4*(f + 1)**3*(7*f - 13)
Suppose -3*n**5 - 195*n**4 - 381*n**3 - 189*n**2 = 0. Calculate n.
-63, -1, 0
Let -225*p**5 - 840*p**4 - 439*p**3 + 164*p**2 - 12*p = 0. Calculate p.
-3, -1, 0, 2/15
Factor 184*g**3/9 - 82*g**2 + 248*g/3 - 8/9.
2*(g - 2)**2*(92*g - 1)/9
Factor 4*k**5/5 - 36*k**4/5 + 104*k**3/5 - 72*k**2/5 - 108*k/5 + 108/5.
4*(k - 3)**3*(k - 1)*(k + 1)/5
Factor 3*k**3 - 6*k**2 - 75*k + 150.
3*(k - 5)*(k - 2)*(k + 5)
Factor 5*g**2 - 530*g.
5*g*(g - 106)
Let 162*o**3 - 846*o**2 + 1280*o - 600 = 0. What is o?
10/9, 3
Factor -2*q**3/7 + 4*q**2 - 130*q/7 + 200/7.
-2*(q - 5)**2*(q - 4)/7
Solve 4*o**4/3 + 4*o**3/3 - 8*o**2 - 16*o/3 + 32/3 = 0 for o.
-2, 1, 2
Factor -2*t**3 + 300*t**2 - 1458*t + 1160.
-2*(t - 145)*(t - 4)*(t - 1)
Determine q so that q**3 + 10*q**2 + 7*q - 18 = 0.
-9, -2, 1
Factor 2*q**3/3 - 74*q**2 + 480*q + 1664/3.
2*(q - 104)*(q - 8)*(q + 1)/3
Factor -25*w**3 - 12490*w**2 - 7475*w + 4990.
-5*(w + 1)*(w + 499)*(5*w - 2)
Let a**3/6 - 5*a**2/3 + 25*a/6 = 0. Calculate a.
0, 5
Factor l**3 - 4*l**2 + 5*l - 2.
(l - 2)*(l - 1)**2
Factor -2*l**3/5 + 16*l**2/5.
-2*l**2*(l - 8)/5
Let -16*z**5 - 92*z**4 + 180*z**3 + 260*z**2 - 164*z - 168 = 0. Calculate z.
-7, -1, -3/4, 1, 2
Factor a**2/2 + 4*a + 15/2.
(a + 3)*(a + 5)/2
Factor 2*t**3 - 31*t**2 - 53*t + 34.
(t - 17)*(t + 2)*(2*t - 1)
Factor 5*t**3 - 100*t**2 + 185*t - 90.
5*(t - 18)*(t - 1)**2
Find g such that 22*g**3/7 - 100*g**2 + 5416*g/7 + 144 = 0.
-2/11, 14, 18
Factor -2*z**2/9 + 12*z - 162.
-2*(z - 27)**2/9
Find q such that -3*q**3 + 102*q**2 - 195*q + 96 = 0.
1, 32
Suppose 2*h**3/5 + 32*h**2 + 314*h/5 + 156/5 = 0. What is h?
-78, -1
Determine t, given that 5*t**3/4 - 47*t**2/4 + 75*t/4 + 63/4 = 0.
-3/5, 3, 7
Factor -3*p**4/7 - 60*p**3/7 - 234*p**2/7 + 660*p/7 - 363/7.
-3*(p - 1)**2*(p + 11)**2/7
Let -3*p**3 - 432*p**2 - 13167*p + 177870 = 0. Calculate p.
-77, 10
Factor 3*k**3/7 - 12*k**2/7 - 48*k/7 + 192/7.
3*(k - 4)**2*(k + 4)/7
Suppose -12*t**4 - 58*t**3 - 76*t**2 - 2*t + 28 = 0. What is t?
-7/3, -2, -1, 1/2
Factor -3*i**2 - 426*i - 6696.
-3*(i + 18)*(i + 124)
Factor 8*f**2/5 + 14*f/5.
2*f*(4*f + 7)/5
Factor 2*y**2 + 10*y.
2*y*(y + 5)
Let -n**3 + 175*n**2 + 534*n = 0. Calculate n.
-3, 0, 178
Find q, given that -2*q**4/3 + 308*q**3/3 + 1592*q**2/3 - 308*q/3 - 530 = 0.
-5, -1, 1, 159
Determine x, given that 2*x**3/17 + 76*x**2/17 + 774*x/17 + 1260/17 = 0.
-21, -15, -2
Factor l**2 - 3*l - 378.
(l - 21)*(l + 18)
Find i, given that -4*i**3 - 76*i**2 - 152*i + 2080 = 0.
-13, -10, 4
Factor 4*c**2 - 1204*c + 1200.
4*(c - 300)*(c - 1)
Factor -5*w**5 + 720*w**4 + 2190*w**3 + 2200*w**2 + 735*w.
-5*w*(w - 147)*(w + 1)**3
Factor 6405*u**2 - 10*u.
5*u*(1281*u - 2)
Solve -5*z**5 + 85*z**4 + 185*z**3 + 95*z**2 = 0.
-1, 0, 19
Factor 2*q**2 - 3018*q + 3016.
2*(q - 1508)*(q - 1)
Suppose 5*x**4 + 1720*x**3 + 1710*x**2 - 1720*x - 1715 = 0. Calculate x.
-343, -1, 1
Factor 2*r**3 - 3422*r**2 + 1465470*r - 1462050.
2*(r - 855)**2*(r - 1)
Factor -3*n**3 + 9*n**2 + 39*n - 45.
-3*(n - 5)*(n - 1)*(n + 3)
Determine o, given that 20*o**5 - 128*o**4 - 12*o**3 + 344*o**2 + 112*o - 96 = 0.
-1, 2/5, 2, 6
Let a**3/5 - 63*a**2/5 - 129*a/5 - 13 = 0. What is a?
-1, 65
Factor 256*r**3 - 1472*r**2 + 996*r - 180.
4*(r - 5)*(8*r - 3)**2
Factor 2*w**4 + 24*w**3 - 512*w.
2*w*(w - 4)*(w + 8)**2
What is i in -i**3/4 - 7*i**2/4 + 2*i = 0?
-8, 0, 1
Factor -3*t**2 - 1608*t.
-3*t*(t + 536)
Solve -5*j**5 - 305*j**4 + 30*j**3 + 1790*j**2 - 2425*j + 915 = 0.
-61, -3, 1
What is y in 29*y**5 + 49*y**4 + 11*y**3 - 9*y**2 = 0?
-1, 0, 9/29
Find l such that -3*l**3 + 9*l - 6 = 0.
-2, 1
Solve 2*u**2/7 + 4*u/7 - 6/7 = 0.
-3, 1
Factor -98*j**3/3 - 76678*j**2/3 + 43840*j/3 - 2088.
-2*(j + 783)*(7*j - 2)**2/3
Let 2*z**3/9 - 2*z**2/9 - 8*z/9 + 8/9 = 0. Calculate z.
-2, 1, 2
Factor 3*n**2 - 1011*n + 1008.
3*(n - 336)*(n - 1)
Let -17*r**2/4 + 23*r/4 - 3/2 = 0. What is r?
6/17, 1
Factor -p**5/6 + p**4/2 + p**3/6 - 11*p**2/6 + 2*p - 2/3.
-(p - 2)*(p - 1)**3*(p + 2)/6
Let -28*d**4 - 524*d**3 + 5752*d**2 - 13696*d + 3456 = 0. What is d?
-27, 2/7, 4
Let -4*w**3/5 - 28*w**2/5 + 32*w/5 = 0. Calculate w.
-8