 is l?
-1, -1/33
Suppose 9*r**5 - 30*r**4 + 36*r**3 - 18*r**2 + 3*r = 0. What is r?
0, 1/3, 1
Solve 6*c**5 + 40*c**4 + 32*c**3/3 - 224*c**2/3 + 32*c = 0.
-6, -2, 0, 2/3
Find r such that 3*r**5 + 192*r**4 + 738*r**3 + 1092*r**2 + 723*r + 180 = 0.
-60, -1
Solve -15*c**4/2 - 715*c**3/2 + 125*c**2 + 240*c = 0.
-48, -2/3, 0, 1
What is u in 6*u**3 + 94*u**2/3 + 40*u/3 - 152/3 = 0?
-38/9, -2, 1
Factor 4*z**4 - 4040*z**3 + 1024132*z**2 - 2036160*z + 1016064.
4*(z - 504)**2*(z - 1)**2
Factor -3*b**5 - 6*b**4 + 87*b**3 - 138*b**2 - 60*b + 168.
-3*(b - 2)**3*(b + 1)*(b + 7)
Factor -2*j**3/11 - 10*j**2/11 + 26*j/11 - 14/11.
-2*(j - 1)**2*(j + 7)/11
What is s in -3*s**2/2 + 5247*s - 9177003/2 = 0?
1749
Determine u so that -3*u**2 + 171*u - 486 = 0.
3, 54
Factor 3*t**2 - 36*t + 60.
3*(t - 10)*(t - 2)
Let -3*k**2 - 1371*k - 1368 = 0. What is k?
-456, -1
Factor -3*b**2 + 210*b - 792.
-3*(b - 66)*(b - 4)
Determine z so that 2*z**3/3 - 40*z**2 + 546*z - 1520/3 = 0.
1, 19, 40
Factor j**3/3 - 24*j**2 + 320*j + 12800/3.
(j - 40)**2*(j + 8)/3
Find c such that 2*c**5/11 - 496*c**4/11 + 2928*c**3/11 - 5824*c**2/11 + 352*c = 0.
0, 2, 242
Let -225*c**4 - 560*c**3 + 2585*c**2 - 1180*c + 100 = 0. Calculate c.
-5, 1/9, 2/5, 2
Factor -2*y**5 + 212*y**4 - 5178*y**3 - 23320*y**2 - 24200*y.
-2*y*(y - 55)**2*(y + 2)**2
Factor -q**5 + 24*q**4 - 140*q**3 - 96*q**2 + 576*q.
-q*(q - 12)**2*(q - 2)*(q + 2)
Factor 2*r**2/7 - 4430*r/7 - 4432/7.
2*(r - 2216)*(r + 1)/7
Factor -2*z**3/11 - 172*z**2/11 + 174*z/11.
-2*z*(z - 1)*(z + 87)/11
Suppose -4*o**3 - 12*o**2 + 4*o + 12 = 0. Calculate o.
-3, -1, 1
Suppose -2*m**3 + 10*m**2 - 12*m = 0. What is m?
0, 2, 3
Determine k, given that 2*k**4/3 - 14*k**3/3 + 12*k**2 - 40*k/3 + 16/3 = 0.
1, 2
Find g such that -3*g**5/4 + 5*g**4/4 + 4*g**3 - 3*g**2 = 0.
-2, 0, 2/3, 3
Factor 2*y**3 + 151*y**2 - 76*y.
y*(y + 76)*(2*y - 1)
Factor 5*x**4 + 2570*x**3 - 2585*x**2 - 5150*x.
5*x*(x - 2)*(x + 1)*(x + 515)
Find r, given that 9*r**2 + 33*r + 18 = 0.
-3, -2/3
Solve 5*o**2 + 260*o + 3380 = 0 for o.
-26
Factor k**3/2 + 15*k**2/2.
k**2*(k + 15)/2
Let -4*n**4 - 18*n**3 - 25*n**2/4 + 27*n/4 - 1 = 0. What is n?
-4, -1, 1/4
Let 3*r**2 - 591*r = 0. Calculate r.
0, 197
Solve -2*l**2 - 52*l - 240 = 0.
-20, -6
What is v in -3*v**5/4 - 33*v**4/4 + 459*v**3/4 + 33*v**2/4 - 114*v = 0?
-19, -1, 0, 1, 8
Suppose -m**3/3 - 13*m**2/3 - 47*m/3 - 35/3 = 0. Calculate m.
-7, -5, -1
Factor 15*l**2 - 1340*l + 445.
5*(l - 89)*(3*l - 1)
Factor 2*w**3/11 + 16*w**2/11 + 10*w/11 - 28/11.
2*(w - 1)*(w + 2)*(w + 7)/11
Solve a**2 + 11*a - 180 = 0.
-20, 9
Factor -49*m**5 - 70*m**4 + 3*m**3 + 20*m**2 - 4*m.
-m*(m + 1)**2*(7*m - 2)**2
Factor 4*k**2/9 + 52*k/9 + 16/3.
4*(k + 1)*(k + 12)/9
Find y such that 2*y**3 + 640*y**2 + 5024*y + 9984 = 0.
-312, -4
Factor -2*d**2/9 - 38*d/3 - 36.
-2*(d + 3)*(d + 54)/9
Find i, given that 256*i**5/3 - 128*i**4/3 - 140*i**3/3 + i**2 + 3*i = 0.
-3/8, 0, 1/4, 1
Find m, given that -2*m**5/11 - 18*m**4/11 - 60*m**3/11 - 92*m**2/11 - 6*m - 18/11 = 0.
-3, -1
Factor 25*s**3 - 21410*s**2 + 8560*s.
5*s*(s - 856)*(5*s - 2)
Determine r so that 2*r**5/19 - 4*r**4/19 - 112*r**3/19 + 384*r**2/19 = 0.
-8, 0, 4, 6
Factor o**2/4 + 11*o/4 + 9/2.
(o + 2)*(o + 9)/4
Determine r, given that 3*r**5 - 9*r**4 - 30*r**3 - 6*r**2 + 27*r + 15 = 0.
-1, 1, 5
Factor l**5/4 + 45*l**4 + 4475*l**3/2 + 19125*l**2 + 180625*l/4.
l*(l + 5)**2*(l + 85)**2/4
Factor x**2/3 - 221*x/3 - 454.
(x - 227)*(x + 6)/3
Solve -340*o**3 - 676*o**2 - 216*o = 0.
-27/17, -2/5, 0
Find d, given that -7*d**5/3 + 24*d**4 - 251*d**3/3 + 346*d**2/3 - 64*d + 32/3 = 0.
2/7, 1, 4
Determine m, given that m**3/3 - 41*m**2/3 + 194*m/3 + 560/3 = 0.
-2, 8, 35
Factor -2*x**2/5 + 4376*x/5 - 2393672/5.
-2*(x - 1094)**2/5
Suppose 4*c**2 + 1024*c + 65536 = 0. Calculate c.
-128
Factor 5*t**3 - 610*t**2 + 19200*t - 36000.
5*(t - 60)**2*(t - 2)
Factor -b**2 + 9*b - 8.
-(b - 8)*(b - 1)
What is f in f**4/2 + 4*f**3 + 19*f**2/2 + 6*f = 0?
-4, -3, -1, 0
Let -4*d**2 - 252*d + 792 = 0. What is d?
-66, 3
Determine p so that p**2/6 - 38*p/3 = 0.
0, 76
Factor 1521*k**5/2 + 1443*k**4/2 - 77*k**3/2 + k**2/2.
k**2*(k + 1)*(39*k - 1)**2/2
Factor -4*q**4 - 192*q**3 + 204*q**2 + 392*q.
-4*q*(q - 2)*(q + 1)*(q + 49)
Factor 2*g**4/13 - 4*g**3/13 - 2*g**2/13 + 4*g/13.
2*g*(g - 2)*(g - 1)*(g + 1)/13
Suppose -4*n**4/7 - 12*n**3/7 - 12*n**2/7 - 4*n/7 = 0. What is n?
-1, 0
Factor -4*n**2 - 1944*n - 236196.
-4*(n + 243)**2
Solve -r**5 + 3*r**4 + 9*r**3 + 5*r**2 = 0 for r.
-1, 0, 5
Factor 5*k**5/2 + 1555*k**4/2 + 4635*k**3/2 + 4625*k**2/2 + 770*k.
5*k*(k + 1)**3*(k + 308)/2
Determine m, given that 5*m**5/3 + 2*m**4/3 - 10*m**3/3 - 4*m**2/3 + 5*m/3 + 2/3 = 0.
-1, -2/5, 1
Determine k so that -k**4/5 + 32*k**3/5 - 211*k**2/5 + 468*k/5 - 288/5 = 0.
1, 3, 4, 24
Factor -q**2/5 + 566*q/5 - 80089/5.
-(q - 283)**2/5
Solve 25*m**5 + 135*m**4 + 185*m**3 - 15*m**2 - 90*m = 0 for m.
-3, -2, -1, 0, 3/5
Let x**4/2 + 61*x**3 + 1734*x**2 - 7749*x + 11907/2 = 0. Calculate x.
-63, 1, 3
Find k such that 2*k**3/13 + 64*k**2/13 + 570*k/13 + 1188/13 = 0.
-18, -11, -3
Let 3*p**4 - 57*p**3 + 195*p**2 - 231*p + 90 = 0. Calculate p.
1, 2, 15
Suppose -b**5/10 - 19*b**4/5 - 577*b**3/10 - 2188*b**2/5 - 8288*b/5 - 12544/5 = 0. Calculate b.
-8, -7
Solve 2*w**2/15 - 14*w/15 + 8/5 = 0.
3, 4
Factor 4*h**3/5 + 28*h**2/5 - 32*h/5.
4*h*(h - 1)*(h + 8)/5
Determine b so that 48*b**4 - 168*b**3 + 75*b**2 - 9*b = 0.
0, 1/4, 3
Factor 5*u**2 - 760*u + 28880.
5*(u - 76)**2
Let 4*m**4 - 16*m**3 - 20*m**2 + 144*m - 144 = 0. What is m?
-3, 2, 3
Determine s, given that -s**2 - 7*s - 6 = 0.
-6, -1
Factor -5*v**2/3 + 29*v/6 + 1/2.
-(v - 3)*(10*v + 1)/6
Factor 26*k**2 - 160*k/3 + 8/3.
2*(k - 2)*(39*k - 2)/3
Suppose 2*r**4/5 - 12*r**3/5 - 38*r**2/5 + 48*r/5 = 0. Calculate r.
-3, 0, 1, 8
Let -b**2/2 - 16*b - 78 = 0. What is b?
-26, -6
Factor -2*n**3/7 + 20*n**2/7 + 26*n/7 - 44/7.
-2*(n - 11)*(n - 1)*(n + 2)/7
Solve 3*f**5/2 - 135*f**4 + 3414*f**3 - 16884*f**2 + 21168*f = 0.
0, 2, 4, 42
Factor 2*z**2/9 - 10*z/9 - 44/3.
2*(z - 11)*(z + 6)/9
Factor -4*a**4 - 184*a**3 - 2560*a**2 - 9600*a.
-4*a*(a + 6)*(a + 20)**2
Let -14*n**2/17 - 2*n + 24/17 = 0. Calculate n.
-3, 4/7
Determine x so that 45*x**5 - 55*x**4 - 530*x**3 - 60*x**2 + 760*x - 160 = 0.
-2, 2/9, 1, 4
What is y in -2*y**3/3 + 46*y**2/3 + 98*y/3 + 50/3 = 0?
-1, 25
Suppose -3*x**5/2 + 39*x**4/4 - 45*x**3/4 - 3*x**2/4 + 15*x/4 = 0. Calculate x.
-1/2, 0, 1, 5
Factor -4*b**2/5 + 71*b + 89/5.
-(b - 89)*(4*b + 1)/5
Solve 2*t**3/7 - 414*t**2/7 + 1228*t/7 - 816/7 = 0.
1, 2, 204
Suppose -3*z**3/4 - 39*z**2/4 - 69*z/4 - 33/4 = 0. Calculate z.
-11, -1
Factor -3*c**2 + 66*c - 315.
-3*(c - 15)*(c - 7)
Factor 486*l**2/7 + 15012*l/7 + 115926/7.
6*(9*l + 139)**2/7
Find p such that 3*p**4/2 - 6*p**3 + 24*p - 24 = 0.
-2, 2
Factor 4*y**4 + 8*y**3 - 108*y**2 - 224*y + 320.
4*(y - 5)*(y - 1)*(y + 4)**2
Factor a**4/4 - 5*a**3 - 111*a**2 - 304*a + 1088.
(a - 34)*(a - 2)*(a + 8)**2/4
Suppose -18*m**4 + 58*m**3 - 12*m**2 - 72*m + 16 = 0. What is m?
-1, 2/9, 2
Factor -2*w**4/13 - 16*w**3/13 - 40*w**2/13 - 32*w/13.
-2*w*(w + 2)**2*(w + 4)/13
Factor -20*x**2 + 543*x - 214.
-(4*x - 107)*(5*x - 2)
Determine v, given that 2*v**3/3 - 6*v**2 + 28*v/3 = 0.
0, 2, 7
Determine r, given that 2*r**5 + 46*r**4 + 42*r**3 - 46*r**2 - 44*r = 0.
-22, -1, 0, 1
Factor -y**3/4 + 23*y**2/4 + 25*y/2.
-y*(y - 25)*(y + 2)/4
Factor 4*c**2 + 72*c + 288.
4*(c + 6)*(c + 12)
Factor 22*c**3/3 - 370*c**2/3 - 68*c/3.
2*c*(c - 17)*(11*c + 2)/3
Suppose -3*v**2 + 27*v + 30 = 0. What is v?
-1, 10
Determine y, given that -108*y**3 + 47268*y**2 + 15765*y + 1314 = 0.
-1/6, 438
Factor -v**2/3 + 19*v/3 - 20.
-(v - 15)*(v - 4)/3
Factor 2*v**2 + 88*v + 968.
2*(v + 22)**2
What is v in -4*v**4 + 52*v**2 - 48*v = 0?
-4, 0, 1, 3
Factor 4*q**5 + 52*q**4 + 132*q**3 + 124*q**2 + 40*q.
4*q*(q + 1)**3*(q + 10)
Let -5*w**3 - 65*w**2 - 155*w + 225 = 0. Calculate w.
-9, -5, 1
Factor l**3 - l**2 - 17*l - 15.
(l - 5)*(l + 1)*(l + 3)
Factor -4*v**3 + 32*v**2 + 212*v - 240.
-4*(v - 12)*(v - 1)*(v + 5)
Factor -f**2 + 752*f.
-f*(f - 752)
Solve f**4/5 + 11*f**3/5 - 13*f**2 - 15*f = 0 for f.
-15, -1, 0, 5
Let 16*j**5 - 2764*j**4 - 708*j**3 + 2764*j**2 + 692*j = 0. Calculate j.
-1, -1/4, 0, 1, 173
Solve 2*c**2/5 - 1286*c/5 = 0 for c.
0, 643
