 412*i**2 - 604*i - 264.
4*(i - 22)*(i + 1)**2*(i + 3)
Factor 2*y**2/15 - 2*y/5 + 4/15.
2*(y - 2)*(y - 1)/15
Find p such that 4*p**5 + 528*p**4 - 2716*p**3 + 3304*p**2 + 2160*p - 4384 = 0.
-137, -1, 2
Let 4*s**5/5 + 18*s**4/5 + 4*s**3 - 2*s**2 - 24*s/5 - 8/5 = 0. Calculate s.
-2, -1, -1/2, 1
Let -3*u**5 - 21*u**4 - 48*u**3 - 24*u**2 + 48*u + 48 = 0. What is u?
-2, 1
Find o such that 4*o**2 + 2084*o - 2088 = 0.
-522, 1
Solve -l**4 + 5*l**3 - 5*l**2 - 5*l + 6 = 0 for l.
-1, 1, 2, 3
What is f in -f**3/2 + 2*f**2 - 3*f/2 = 0?
0, 1, 3
Solve 5*f**2 - 185*f - 600 = 0 for f.
-3, 40
Solve -2*a**5/15 + 34*a**4/15 - 68*a**3/5 + 168*a**2/5 - 144*a/5 = 0 for a.
0, 2, 3, 6
Factor 4*a**2 + 44624*a + 124456336.
4*(a + 5578)**2
Let 4*b**3 - 4*b**2 - 36*b + 36 = 0. Calculate b.
-3, 1, 3
Factor 21*s**2 - 1065*s - 306.
3*(s - 51)*(7*s + 2)
Factor 2*z**3/3 - 4*z**2/3 - 16*z/3.
2*z*(z - 4)*(z + 2)/3
Factor 2*z**5/3 + 1244*z**4/3 + 86112*z**3 + 5998860*z**2 + 5913162*z.
2*z*(z + 1)*(z + 207)**3/3
Determine r so that -2*r**5 + 62*r**4 - 560*r**3 + 1168*r**2 + 224*r - 1568 = 0.
-1, 2, 14
Find f, given that -3*f**4/4 - 15*f**3/4 - 27*f**2/4 - 21*f/4 - 3/2 = 0.
-2, -1
Factor -2*l**2/7 + 18*l/7 + 32.
-2*(l - 16)*(l + 7)/7
Find w such that -3*w**2 - 72*w - 240 = 0.
-20, -4
Let 245*j**4 - 8260*j**3 + 83270*j**2 - 230100*j + 190125 = 0. What is j?
13/7, 15
Factor v**2/2 - 13*v/2 - 15.
(v - 15)*(v + 2)/2
Solve -2*f**2/21 - 38*f/21 + 144/7 = 0.
-27, 8
Solve -2*x**4/5 - 28*x**3/5 - 10*x**2 - 24*x/5 = 0 for x.
-12, -1, 0
Determine t, given that -5*t**3 + 460*t**2 - 10580*t = 0.
0, 46
Determine y, given that -26*y**2/5 + 28*y/5 = 0.
0, 14/13
Suppose 2*t**5/15 + 16*t**4/3 + 716*t**3/15 - 112*t**2 + 294*t/5 = 0. Calculate t.
-21, 0, 1
Let -3*r**2/2 + 579*r/2 + 1791 = 0. What is r?
-6, 199
Factor -3*b**3 + 1873*b**2 - 624*b.
-b*(b - 624)*(3*b - 1)
What is p in -5*p**5/3 - 10*p**4/3 + 155*p**3/3 + 100*p**2/3 - 260*p - 240 = 0?
-6, -2, -1, 3, 4
What is w in -4*w**4 - 64*w**3 - 116*w**2 - 56*w = 0?
-14, -1, 0
Find d, given that -4*d**4 - 76*d**3 - 132*d**2 + 76*d + 136 = 0.
-17, -2, -1, 1
Find x, given that -4*x**2 - 83*x + 21 = 0.
-21, 1/4
Factor 2*g**3/19 - 14*g**2/19 + 16*g/19 + 32/19.
2*(g - 4)**2*(g + 1)/19
Solve -5*o**2 + 3275*o - 6530 = 0.
2, 653
Solve 16*b**4 - 28*b**3 - 2136*b**2 - 2612*b - 520 = 0 for b.
-10, -1, -1/4, 13
What is h in -2*h**2 - 228*h + 702 = 0?
-117, 3
Solve -4*x**3/5 + 8*x**2/5 + 4*x/5 - 8/5 = 0.
-1, 1, 2
Factor -20*k**5 + 32*k**4 - 4*k**3 - 8*k**2.
-4*k**2*(k - 1)**2*(5*k + 2)
Determine y so that -y**4/3 - 11*y**3 - 30*y**2 = 0.
-30, -3, 0
Factor -5*f**4 + 35*f**3 - 85*f**2 + 85*f - 30.
-5*(f - 3)*(f - 2)*(f - 1)**2
Factor -867*k**2 + 1836*k - 972.
-3*(17*k - 18)**2
Find c such that -c**4/8 + 15*c**3/8 - 3*c**2/4 - 95*c/2 - 75 = 0.
-3, -2, 10
Factor -3*o**4 + 24815*o**3 - 51311216*o**2 - 17106496*o.
-o*(o - 4136)**2*(3*o + 1)
Factor u**2/5 + 111*u/5 + 220.
(u + 11)*(u + 100)/5
Suppose 4*c**5 + 22*c**4/3 - 38*c**3/3 - 12*c**2 + 56*c/3 - 16/3 = 0. Calculate c.
-2, 1/2, 2/3, 1
Factor -v**4 - 23*v**3 - 97*v**2 - 129*v - 54.
-(v + 1)**2*(v + 3)*(v + 18)
Factor -86436*c**2 + 1176*c - 4.
-4*(147*c - 1)**2
Factor -2*t**3 + 10*t**2 + 66*t + 54.
-2*(t - 9)*(t + 1)*(t + 3)
Factor o**5/4 + 231*o**4/4 + 3306*o**3 - 3364*o**2.
o**2*(o - 1)*(o + 116)**2/4
Factor -3*r**2 + 10158*r - 8598747.
-3*(r - 1693)**2
Factor -5*b**3 + 95*b**2 + 460*b.
-5*b*(b - 23)*(b + 4)
Factor -o**2 - 6*o - 8.
-(o + 2)*(o + 4)
Factor -242*c**3 - 1716*c**2 - 4056*c - 35152/11.
-2*(11*c + 26)**3/11
Factor -5*g**3 - 90*g**2 + 7395*g + 168200.
-5*(g - 40)*(g + 29)**2
Suppose -v**4 - 5*v**3 - 2*v**2 + 20*v + 24 = 0. What is v?
-3, -2, 2
Determine p so that -2*p**4/5 - 16*p**3/5 - 2*p**2/5 + 84*p/5 = 0.
-7, -3, 0, 2
Solve -9*d**4 + 718*d**3 - 1937*d**2 + 920*d + 308 = 0 for d.
-2/9, 1, 2, 77
Let t**3/10 - 6*t**2/5 - 13*t/10 = 0. What is t?
-1, 0, 13
Factor 2*r**3/9 - 20*r**2/9 + 50*r/9.
2*r*(r - 5)**2/9
Factor -f**4/3 - 23*f**3/3 - 40*f**2 + 48*f.
-f*(f - 1)*(f + 12)**2/3
Determine a so that -8*a**3/3 - 46*a**2/7 + 86*a/21 - 4/7 = 0.
-3, 1/4, 2/7
Find r, given that r**3 + 12*r**2 - 13*r = 0.
-13, 0, 1
Let 6*k**4/5 - 16*k**3/5 + 4*k**2/5 + 16*k/5 - 2 = 0. What is k?
-1, 1, 5/3
Find b such that -2*b**5/11 + 10*b**3/11 - 8*b/11 = 0.
-2, -1, 0, 1, 2
Factor 3*l**2/7 + 1437*l/7.
3*l*(l + 479)/7
Factor -2*v**3 + 80*v**2 - 800*v.
-2*v*(v - 20)**2
Factor -2*n**2 + 48*n - 88.
-2*(n - 22)*(n - 2)
Find m, given that 4*m**2 - 81*m - 63 = 0.
-3/4, 21
Determine d, given that -2*d**4/3 - 17*d**3/6 - 4*d**2 - 13*d/6 - 1/3 = 0.
-2, -1, -1/4
Factor 4*i**5 + 12*i**4 - 24*i**3 - 40*i**2 + 84*i - 36.
4*(i - 1)**3*(i + 3)**2
Factor -t**2/2 + 83*t/2 - 41.
-(t - 82)*(t - 1)/2
Factor 3*x**3/2 - 21*x**2 - 60*x + 192.
3*(x - 16)*(x - 2)*(x + 4)/2
Factor 2*u**5/5 - 24*u**4/5 + 92*u**3/5 - 24*u**2 + 10*u.
2*u*(u - 5)**2*(u - 1)**2/5
Determine j so that -j**2/4 - 217*j/2 - 47089/4 = 0.
-217
Factor 3*v**4/5 - 87*v**3/5 + 165*v**2 - 2541*v/5.
3*v*(v - 11)**2*(v - 7)/5
Solve 9*r**5 + 21*r**4 - 102*r**3 - 396*r**2 - 408*r - 96 = 0 for r.
-2, -1/3, 4
Factor -b**2/9 + 52*b/3 + 316/9.
-(b - 158)*(b + 2)/9
Suppose b**2/2 - 224*b - 450 = 0. What is b?
-2, 450
Factor 4*p**3 + 478*p**2 + 710*p + 236.
2*(p + 1)*(p + 118)*(2*p + 1)
Factor -3*l**3 - 1524*l**2 - 193548*l.
-3*l*(l + 254)**2
Factor -2*z**3/17 + 58*z**2/17 - 176*z/17 - 600/17.
-2*(z - 25)*(z - 6)*(z + 2)/17
What is j in -j**4/7 - 41*j**3/7 + 3*j**2/7 + 121*j/7 - 82/7 = 0?
-41, -2, 1
Factor -u**2/11 - 61*u/11 - 510/11.
-(u + 10)*(u + 51)/11
Factor -3*d**5 - 90*d**4 - 759*d**3 - 1260*d**2 - 588*d.
-3*d*(d + 1)**2*(d + 14)**2
Solve -f**2/3 + 308*f/3 - 23716/3 = 0.
154
Determine a, given that a**2 - 1970*a + 1969 = 0.
1, 1969
Solve -2*k**3/3 - 32*k**2/3 + 122*k/3 + 152/3 = 0.
-19, -1, 4
Determine i, given that -i**3 + 42*i**2 - 513*i + 1444 = 0.
4, 19
Factor -3*u**4/2 - 3*u**3/2 + 9*u**2/2 + 15*u/2 + 3.
-3*(u - 2)*(u + 1)**3/2
Let -3*t**5 - 228*t**4 - 3657*t**3 - 16572*t**2 + 3660*t + 16800 = 0. What is t?
-56, -10, -1, 1
Suppose 4*v**5 + 32*v**4 + 64*v**3 + 8*v**2 - 68*v - 40 = 0. What is v?
-5, -2, -1, 1
Let -5*l**3 - 30*l**2 - 45*l - 20 = 0. What is l?
-4, -1
Suppose -3*q**3 - 959*q**2 - 1588*q + 636 = 0. Calculate q.
-318, -2, 1/3
Find d, given that -2*d**2 + 88*d = 0.
0, 44
Suppose -3*t**3/5 - 12*t**2/5 + 21*t/5 + 6 = 0. Calculate t.
-5, -1, 2
What is u in u**2 - 63*u - 64 = 0?
-1, 64
Determine y so that 90*y**4/7 - 37194*y**3/7 + 47014*y**2/7 - 18958*y/7 + 2472/7 = 0.
1/3, 3/5, 412
Suppose -4*m**2 + 424*m - 11236 = 0. What is m?
53
Suppose 12*v**2/7 + 4*v/7 - 8 = 0. Calculate v.
-7/3, 2
Factor 3*o**2/7 - 261*o/7 - 264/7.
3*(o - 88)*(o + 1)/7
Solve 6*q**3/5 + 5188*q**2/15 - 3096*q/5 - 464/3 = 0 for q.
-290, -2/9, 2
Determine y so that -5*y**5 - 15*y**4 + 45*y**3 + 115*y**2 + 60*y = 0.
-4, -1, 0, 3
Solve -h**3 - 6*h**2 + 4*h + 24 = 0 for h.
-6, -2, 2
Solve 5*o**4 - 95*o**3 + 385*o**2 - 505*o + 210 = 0.
1, 3, 14
What is m in m**4 - 134*m**3 + 4489*m**2 = 0?
0, 67
What is y in -2*y**3/9 + 464*y**2/3 + 2*y/9 - 464/3 = 0?
-1, 1, 696
Factor -4*l**4 - 40*l**3 - 52*l**2 + 96*l.
-4*l*(l - 1)*(l + 3)*(l + 8)
Find b such that -2*b**5/11 - 40*b**4/11 - 174*b**3/11 + 216*b**2/11 = 0.
-12, -9, 0, 1
Factor -2*c**3 - 10*c**2 + 24*c + 72.
-2*(c - 3)*(c + 2)*(c + 6)
Suppose -2*x**4/3 + 28*x**3/3 - 32*x**2 - 28*x/3 + 98/3 = 0. Calculate x.
-1, 1, 7
Let s**4/2 - 77*s**3/2 + 270*s**2 + 36936*s - 723168 = 0. What is s?
-31, 36
Solve -5*d**3 + 45*d**2 - 75*d + 35 = 0.
1, 7
Factor 2*y**3 + 2*y**2 - 12*y.
2*y*(y - 2)*(y + 3)
What is v in 3*v**2 + 81*v - 84 = 0?
-28, 1
Determine u so that -3*u**5 - 30*u**4 - 39*u**3 + 180*u**2 - 108*u = 0.
-6, 0, 1
Determine m so that -4*m**3/7 - 7*m**2 - 8*m - 11/7 = 0.
-11, -1, -1/4
Determine x, given that -2*x**2/19 - 8*x/19 - 8/19 = 0.
-2
Solve 5*z**2/4 - 135*z/2 + 2025/4 = 0 for z.
9, 45
Find x such that -2*x**3/3 - 80*x**2 - 462*x - 684 = 0.
-114, -3
Solve i**2/3 + 68*i/3 = 0 for i.
-68, 0
What is k in k**5/5 - 18*k**4 + 3093*k**3/5 - 49696*k**2/5 + 71460*k - 162000 = 0?
4, 18, 25
Factor -49*g**5 - 168*g**4 + 108*g**3 - 16*g**2.
-g**2*(g + 4)*(7*g - 2)**2
Solve 6*n**5/5 + 1084*n**4/5 + 48232*n**3/5 - 65884*n**2/5 + 16562*n/5 = 0 for n.
-91, 0, 1/3, 1
What is l in