606*j**2 - 1898*j + 1352.
2*(j - 13)**2*(j - 4)*(j - 1)
Factor -3*m**4/2 + 9*m**3 - 9*m**2/2 - 15*m.
-3*m*(m - 5)*(m - 2)*(m + 1)/2
Factor 3*s**2/5 - 57*s/5 - 198/5.
3*(s - 22)*(s + 3)/5
Let -2*c**2/3 - 44*c/3 = 0. Calculate c.
-22, 0
Determine w so that -2*w**4/3 + 44*w**3/3 + 26*w**2 - 776*w/3 + 920/3 = 0.
-5, 2, 23
Find w such that -w**3/3 - 269*w**2/3 + 541*w/3 - 271/3 = 0.
-271, 1
Factor 3*a**2/2 + 36*a - 1443/2.
3*(a - 13)*(a + 37)/2
Determine g, given that -2*g**3 + 4*g**2/3 + 2*g/3 = 0.
-1/3, 0, 1
Determine o, given that 2*o**3 + 46*o**2 + 152*o = 0.
-19, -4, 0
Factor -3*o**4/5 - 168*o**3/5 - 3078*o**2/5 - 17328*o/5 + 20577/5.
-3*(o - 1)*(o + 19)**3/5
Determine q so that -2*q**3 + 8*q**2 + 14*q - 20 = 0.
-2, 1, 5
Find j such that 3*j**2 - 48*j + 189 = 0.
7, 9
Find f, given that f**4 + 7*f**3 + 17*f**2 + 17*f + 6 = 0.
-3, -2, -1
Suppose 4*y**2 + 720*y = 0. Calculate y.
-180, 0
Determine p so that 5*p**3/4 + 345*p**2/2 + 990*p = 0.
-132, -6, 0
Factor 2*a**2/9 - 26*a/9 + 28/3.
2*(a - 7)*(a - 6)/9
Factor 5*s**3/3 - 2715*s**2 + 1474245*s - 266838345.
5*(s - 543)**3/3
Factor -z**4/4 + 97*z**3/4 + 101*z**2/2 - 97*z - 198.
-(z - 99)*(z - 2)*(z + 2)**2/4
Factor 4*h**4 + 56*h**3 + 32*h**2 - 248*h + 156.
4*(h - 1)**2*(h + 3)*(h + 13)
Factor 2*g**4/5 - 4*g**3/5 + 2*g**2/5.
2*g**2*(g - 1)**2/5
Solve 3*k**4 + 75*k**3 + 702*k**2 + 2916*k + 4536 = 0 for k.
-7, -6
Solve f**5/3 - 18*f**4 - 235*f**3/3 + 164*f**2/3 + 196*f - 464/3 = 0 for f.
-4, -2, 1, 58
Determine h so that -2*h**2/9 + 16*h/3 - 30 = 0.
9, 15
Factor -4*h**3 - 44*h**2 + 100*h - 52.
-4*(h - 1)**2*(h + 13)
Factor -s**2/7 - 5*s/7 + 36/7.
-(s - 4)*(s + 9)/7
Suppose -4*d**4 + 1528*d**3 - 147444*d**2 + 290320*d - 144400 = 0. Calculate d.
1, 190
Find a such that 2*a**5/5 - 122*a**4/5 + 334*a**3 + 5762*a**2/5 + 6016*a/5 + 2048/5 = 0.
-1, 32
Factor 3*m**2/7 - 114*m/7.
3*m*(m - 38)/7
Factor 4*s**2 + 2964*s - 2968.
4*(s - 1)*(s + 742)
Let 5*r**2 + 55*r + 140 = 0. What is r?
-7, -4
Determine o, given that o**4/3 - 5*o**3/3 + 5*o**2/3 + 5*o/3 - 2 = 0.
-1, 1, 2, 3
Factor 4*j**5 + 480*j**4 - 9936*j**3.
4*j**3*(j - 18)*(j + 138)
Factor 4*k**3 + 32*k**2 + 52*k + 24.
4*(k + 1)**2*(k + 6)
Factor -3*c**3 + 30*c**2 - 9*c - 162.
-3*(c - 9)*(c - 3)*(c + 2)
Suppose 5*o**4/6 + 5*o**3/6 - 5*o**2/2 - 5*o/6 + 5/3 = 0. What is o?
-2, -1, 1
Find j such that -8*j**5/3 - 5*j**4 + 26*j**3/3 - j**2 = 0.
-3, 0, 1/8, 1
Let h**4/5 - 4*h**3/5 - 2*h**2/5 + 12*h/5 + 9/5 = 0. What is h?
-1, 3
Factor 4*k**5 + 12*k**4 - 12*k**3 - 44*k**2 - 24*k.
4*k*(k - 2)*(k + 1)**2*(k + 3)
Factor -2*y**3/3 - 128*y**2/3 - 122*y/3 + 84.
-2*(y - 1)*(y + 2)*(y + 63)/3
Find w such that 2*w**3/7 + 50*w**2/7 - 2*w/7 - 50/7 = 0.
-25, -1, 1
Solve -2*f**2/5 + 8*f/5 - 8/5 = 0.
2
Factor -c**4/3 - 8*c**3/3 - 6*c**2 + 9.
-(c - 1)*(c + 3)**3/3
Find r, given that -2*r**5/9 - 4*r**4/9 + 32*r**3/9 + 4*r**2/9 - 10*r/3 = 0.
-5, -1, 0, 1, 3
Factor 3*z**2/7 - 3504*z/7 + 1023168/7.
3*(z - 584)**2/7
Determine t, given that 5*t**4 - 20*t**3 - 85*t**2 + 120*t + 180 = 0.
-3, -1, 2, 6
Determine z so that z**2/2 + 2071*z + 4141/2 = 0.
-4141, -1
Factor 7*d**3 - 72*d**2 - 57*d + 22.
(d - 11)*(d + 1)*(7*d - 2)
Factor -2*b**2 + 2.
-2*(b - 1)*(b + 1)
Suppose -2*t**5/11 - 62*t**4/11 - 446*t**3/11 + 574*t**2/11 + 448*t/11 - 512/11 = 0. Calculate t.
-16, -1, 1
Solve 2*y**3 - 2082*y**2 - 2*y + 2082 = 0.
-1, 1, 1041
What is y in -2*y**5/5 - 22*y**4/5 - 42*y**3/5 + 62*y**2/5 + 20*y - 96/5 = 0?
-8, -3, -2, 1
Factor -y**5 + 6*y**4 - 9*y**3 + 4*y**2.
-y**2*(y - 4)*(y - 1)**2
Factor -2*s**3/17 + 2718*s**2/17 - 54240*s - 54400.
-2*(s - 680)**2*(s + 1)/17
Solve -8*n**3 - 14*n**2 - 4*n + 2 = 0.
-1, 1/4
Determine p so that 3*p**3/4 - 9*p**2/4 - 3*p/4 + 9/4 = 0.
-1, 1, 3
Factor -2*u**3 - 8*u**2 + 58*u - 48.
-2*(u - 3)*(u - 1)*(u + 8)
Suppose -5*n**5 + 80*n**4 + 495*n**3 + 630*n**2 = 0. Calculate n.
-3, -2, 0, 21
Factor 3*k**2/2 - 9*k/2 - 42.
3*(k - 7)*(k + 4)/2
Find i such that 45*i**5 - 195*i**4 + 290*i**3 - 180*i**2 + 40*i = 0.
0, 2/3, 1, 2
Suppose -4*w**5/5 + 28*w**4/5 + 392*w**3/5 + 1224*w**2/5 + 1404*w/5 + 108 = 0. What is w?
-3, -1, 15
Determine b, given that -b**4/5 - 18*b**3/5 - 33*b**2/5 + 484*b/5 = 0.
-11, 0, 4
Determine t so that -5*t**2 - 1820*t + 1825 = 0.
-365, 1
Suppose -s**2/5 + 22*s - 605 = 0. What is s?
55
Factor -2*m**4 + 26*m**3 + 38*m**2 - 146*m + 84.
-2*(m - 14)*(m - 1)**2*(m + 3)
Factor -a**4/3 - 10*a**3/3 - 7*a**2.
-a**2*(a + 3)*(a + 7)/3
Suppose 2*o**5 + 4*o**4/3 - 14*o**3 + 8*o**2/3 + 8*o = 0. What is o?
-3, -2/3, 0, 1, 2
Factor 2*t**2 + 702*t.
2*t*(t + 351)
Suppose 2*l**4 - 24*l**3 + 38*l**2 + 24*l - 40 = 0. Calculate l.
-1, 1, 2, 10
Factor -3*x**3/7 + 954*x**2/7 - 101124*x/7 + 3573048/7.
-3*(x - 106)**3/7
Factor -3*o**3 + 15*o**2.
-3*o**2*(o - 5)
Determine x, given that x**2 - 6*x - 315 = 0.
-15, 21
Let -4*s**4 - 76*s**3 - 420*s**2 - 196*s + 2744 = 0. What is s?
-7, 2
Factor 2560*w**4 + 4160*w**3 - 840*w**2 - 4165*w - 1715.
5*(w - 1)*(8*w + 7)**3
Let -2*r**3/15 + 88*r**2/15 - 86*r/15 = 0. What is r?
0, 1, 43
Solve -14*o**4/3 + 46*o**3/3 - 40*o**2/3 + 8*o/3 = 0 for o.
0, 2/7, 1, 2
Solve 3*l**5 - 12*l**4 - 12*l**3 + 102*l**2 - 135*l + 54 = 0.
-3, 1, 2, 3
Solve 3*b**2 + 15594*b + 20264403 = 0 for b.
-2599
Find s, given that -24*s**4/11 + 74*s**3/11 + 12*s**2/11 - 50*s/11 - 12/11 = 0.
-2/3, -1/4, 1, 3
Factor -v**3/2 + 2225*v**2 - 2473086*v - 4955076.
-(v - 2226)**2*(v + 2)/2
Determine u so that 21*u**2/5 + 17*u/5 - 4/5 = 0.
-1, 4/21
Factor 2*b**3/7 + 80*b**2/7 + 88*b - 3872/7.
2*(b - 4)*(b + 22)**2/7
Suppose 32*q**5/15 - 3824*q**4/15 + 105074*q**3/15 + 563218*q**2/15 - 301072*q/15 + 7688/3 = 0. What is q?
-5, 1/4, 62
Find l, given that -3*l**2/4 - 39*l/4 + 297/2 = 0.
-22, 9
Let -5*f**3/4 + 15*f**2/2 + 125*f/4 + 45/2 = 0. Calculate f.
-2, -1, 9
Suppose -2*h**4/17 + 4*h**3/17 + 104*h**2/17 + 188*h/17 + 90/17 = 0. What is h?
-5, -1, 9
Factor -4*w**3 + 340*w**2 - 6688*w - 23232.
-4*(w - 44)**2*(w + 3)
Let 2*f**2 + 2*f - 12 = 0. What is f?
-3, 2
Factor -4*q**2 + 16*q.
-4*q*(q - 4)
Factor 45*j**2 - 16620*j + 1534580.
5*(3*j - 554)**2
Factor -3*l**3/4 - 45*l**2/4 - 33*l.
-3*l*(l + 4)*(l + 11)/4
Determine m, given that -3*m**5/5 - 24*m**4/5 - 15*m**3 - 114*m**2/5 - 84*m/5 - 24/5 = 0.
-2, -1
Factor 4*l**3 - 48*l**2 - 112*l.
4*l*(l - 14)*(l + 2)
Factor n**2/4 - 113*n/4 + 111/2.
(n - 111)*(n - 2)/4
Solve -8*t**5 - 40*t**4 - 54*t**3 - 14*t**2 + 14*t + 6 = 0 for t.
-3, -1, -1/2, 1/2
Factor 2*r**2/13 - 292*r/13 + 10658/13.
2*(r - 73)**2/13
Let -9*j**3/4 - 102*j**2 + 69*j = 0. What is j?
-46, 0, 2/3
Factor -3*v**2 + 684*v + 687.
-3*(v - 229)*(v + 1)
Factor 28*l**3 + 1532*l**2 + 5272*l - 1632.
4*(l + 4)*(l + 51)*(7*l - 2)
Factor -4*k**2/7 + 172*k/7 - 232.
-4*(k - 29)*(k - 14)/7
Factor v**5 - 35*v**4 + 408*v**3 - 1832*v**2 + 3472*v - 2352.
(v - 14)**2*(v - 3)*(v - 2)**2
Suppose 2*z**5 + 38*z**4 - 178*z**3 - 1078*z**2 - 1480*z - 616 = 0. What is z?
-22, -2, -1, 7
Let -q**3/2 + q**2/2 + 4*q - 6 = 0. Calculate q.
-3, 2
Factor -z**2/5 - 28*z - 139/5.
-(z + 1)*(z + 139)/5
Determine w so that w**3 - w**2 = 0.
0, 1
Determine x, given that 2*x**5/3 - 20*x**4/3 - 74*x**3 + 496*x**2/3 - 256*x/3 = 0.
-8, 0, 1, 16
Suppose 4*j**2 - 1408*j + 123904 = 0. Calculate j.
176
Let -4*m**2 - 52*m - 160 = 0. What is m?
-8, -5
Factor -2*h**3/5 - 12*h**2/5 + 14*h/5.
-2*h*(h - 1)*(h + 7)/5
Suppose 4*c**2 + 16*c + 12 = 0. What is c?
-3, -1
Factor -2*c**4/13 - 10*c**3 - 254*c**2/13 - 126*c/13.
-2*c*(c + 1)**2*(c + 63)/13
Suppose 3*f**2/2 + 3636*f + 2203416 = 0. Calculate f.
-1212
Factor -4*k**2 + 2968*k - 550564.
-4*(k - 371)**2
Factor 3*w**5 - 105*w**4 + 1065*w**3 - 2595*w**2 + 2400*w - 768.
3*(w - 16)**2*(w - 1)**3
Factor -3*x**2 + 63*x + 66.
-3*(x - 22)*(x + 1)
Determine w so that 2*w**3 - 8*w**2 - 24*w = 0.
-2, 0, 6
Find c such that -c**3/4 + 3569*c**2/4 + 7141*c/4 + 3571/4 = 0.
-1, 3571
Suppose -2*z**2/5 + 36*z/5 - 18 = 0. Calculate z.
3, 15
Determine k, given that 4*k**5 - 332*k**4 + 7012*k**3 - 3476*k**2 - 64616*k - 53792 = 0.
-2, -1, 4, 41
Let 2*v**3 + 1032*v**2 - 4152*v + 4160 = 0. What is v?
-520, 2
Factor -2*t**3/15 + 78*t**2/5 - 2242*t/5 - 6962/15.
-2*(t - 59)**2*(t + 1)/15
Solve -i**2 + 10*i + 56 = 0 for i.
-4, 14
Solve -2*p**4/7 - 86*p**3/7 + 26*p**2 + 86*p/7 - 180/7 = 0 for p.
-45, -1, 1, 2
Fac