162*a**3/11 + 3060*a**2/11 + 17024*a/11 + 23104/11 = 0. What is a?
-76/9, -2
Factor -s**4 + 4*s**3 - 5*s**2 + 2*s.
-s*(s - 2)*(s - 1)**2
Suppose 898*c**2/9 + 902*c/9 + 4/9 = 0. What is c?
-1, -2/449
Factor -y**4/5 + 68*y**3/5.
-y**3*(y - 68)/5
Factor 5*n**3 - 205*n**2 + 930*n - 1080.
5*(n - 36)*(n - 3)*(n - 2)
Suppose l**5/2 + 11*l**4/2 + 27*l**3/2 + 25*l**2/2 + 4*l = 0. Calculate l.
-8, -1, 0
Factor 3*k**2 + 336*k + 9408.
3*(k + 56)**2
Factor -2*v**4/11 - 4*v**3 - 138*v**2/11 + 104*v - 1352/11.
-2*(v - 2)**2*(v + 13)**2/11
Determine q so that -q**3/9 - 157*q**2/9 - 2114*q/9 + 2272/9 = 0.
-142, -16, 1
Factor j**4/4 + 15*j**3/4 - 139*j**2/4 + 321*j/4 - 99/2.
(j - 3)**2*(j - 1)*(j + 22)/4
Suppose -2*n**2 - 72*n - 648 = 0. Calculate n.
-18
Factor 3*i**3/7 - 39*i**2/7 + 48*i/7 + 576/7.
3*(i - 8)**2*(i + 3)/7
Factor 2*c**5/5 - 96*c**4/5 + 282*c**3 - 6316*c**2/5 + 11256*c/5 - 7056/5.
2*(c - 21)**2*(c - 2)**3/5
Factor 2*y**3 - 44*y**2 + 224*y.
2*y*(y - 14)*(y - 8)
Factor -3*d**5/8 - 15*d**4/8 - 9*d**3/4 + 3*d**2/2 + 3*d.
-3*d*(d - 1)*(d + 2)**3/8
Factor 4*q**2 - 3096*q + 599076.
4*(q - 387)**2
Let 21*p**3/2 - 264*p**2 + 51*p/2 + 300 = 0. What is p?
-1, 8/7, 25
Find m, given that -m**2/10 - 4*m/5 + 24/5 = 0.
-12, 4
Determine i so that 3*i**2/5 - 708*i/5 + 41772/5 = 0.
118
Solve -4*f**3 - 248*f**2 - 244*f = 0.
-61, -1, 0
Factor -4*b**3/3 - 40*b**2 + 44*b + 248/3.
-4*(b - 2)*(b + 1)*(b + 31)/3
Suppose s**4/7 + 9*s**3/7 - 4*s**2/7 - 36*s/7 = 0. Calculate s.
-9, -2, 0, 2
Let -5*l**5 + 75*l**4 - 275*l**3 - 75*l**2 + 280*l = 0. Calculate l.
-1, 0, 1, 7, 8
Factor -z**3/5 + 42*z**2/5 - 31*z + 114/5.
-(z - 38)*(z - 3)*(z - 1)/5
Let -3*i**5 - 18*i**4 + 486*i**3 - 2592*i**2 + 5589*i - 4374 = 0. What is i?
-18, 3
What is w in -5*w**2/2 - 4595*w = 0?
-1838, 0
Factor -y**2/2 - 956*y - 456968.
-(y + 956)**2/2
Solve 4*x**4 + 24*x**3 + 20*x**2 = 0.
-5, -1, 0
Solve 8*w**5/3 + 20*w**4/3 + 8*w**3/3 = 0.
-2, -1/2, 0
Determine x, given that x**3/3 - 6*x**2 + 56*x/3 = 0.
0, 4, 14
Factor -4*j**2 + 6884*j - 6880.
-4*(j - 1720)*(j - 1)
Suppose 5*k**4 - 700*k**3/3 - 5905*k**2/3 - 630*k = 0. Calculate k.
-7, -1/3, 0, 54
Let 2*n**3/9 + 194*n**2/9 = 0. What is n?
-97, 0
Factor -2*j**4/7 + 74*j**3/7 - 204*j**2/7.
-2*j**2*(j - 34)*(j - 3)/7
Determine t so that -t**2/4 - 125*t/2 - 15625/4 = 0.
-125
What is h in -2*h**5/3 - 2*h**4/3 + 2*h**3 + 2*h**2/3 - 4*h/3 = 0?
-2, -1, 0, 1
Solve 15*n**4 - 2815*n**3 - 955*n**2 + 2815*n + 940 = 0.
-1, -1/3, 1, 188
Suppose -5*v**3 - 45*v**2 - 120*v - 80 = 0. Calculate v.
-4, -1
Find y such that -3*y**2/5 - 228*y/5 = 0.
-76, 0
Factor -2*w**3/5 + 12684*w**2/5 - 26813976*w/5 + 18894915088/5.
-2*(w - 2114)**3/5
Solve -2*d**5 - 34*d**4 - 208*d**3 - 560*d**2 - 672*d - 288 = 0 for d.
-6, -2, -1
Solve 26*y**3 - 48*y**2 + 18*y + 4 = 0 for y.
-2/13, 1
Factor -4*p**4 + 36*p**2.
-4*p**2*(p - 3)*(p + 3)
Let -i**3 - 30*i**2/7 - 36*i/7 - 8/7 = 0. Calculate i.
-2, -2/7
Factor 5*y**3 - 230*y**2 + 840*y.
5*y*(y - 42)*(y - 4)
Find t such that t**4/5 - 2*t**3 - 11*t**2 - 4*t + 84/5 = 0.
-3, -2, 1, 14
Let 2*d**5/3 - 110*d**4/3 + 324*d**3 + 11232*d**2 - 177408*d + 165888 = 0. Calculate d.
-18, 1, 24
Let 3*i**4/4 + 153*i**3/4 + 75*i**2/2 = 0. What is i?
-50, -1, 0
Find l, given that 3*l**5/4 - 51*l**4/4 - 123*l**3/4 + 171*l**2/4 = 0.
-3, 0, 1, 19
Solve -u**3 + 271*u**2 - 18224*u - 18496 = 0.
-1, 136
Determine g, given that -3*g**5 - 51*g**4 + 237*g**3 - 309*g**2 + 126*g = 0.
-21, 0, 1, 2
Factor u**4/3 + u**3/3 - 2*u**2 - 4*u/3 + 8/3.
(u - 2)*(u - 1)*(u + 2)**2/3
Factor l**2/10 + 289*l + 417605/2.
(l + 1445)**2/10
Factor 3*k**2/4 - 21*k/8 - 3/2.
3*(k - 4)*(2*k + 1)/8
Find m such that 3*m**2 - 84*m + 345 = 0.
5, 23
Find k such that 2*k**3/9 + 118*k**2/9 - 2*k/9 - 118/9 = 0.
-59, -1, 1
Solve o**5 - 149*o**4 + 5467*o**3 + 6813*o**2 - 43200*o - 67500 = 0.
-2, 3, 75
Factor z**3/5 + 446*z**2/5 + 1768*z/5.
z*(z + 4)*(z + 442)/5
Factor 4*o**4 + 32*o**3 - 36*o**2.
4*o**2*(o - 1)*(o + 9)
Suppose 3*r**2/8 - 15*r/4 + 63/8 = 0. Calculate r.
3, 7
Find w such that w**5 + 15*w**4 - 91*w**3 + 173*w**2 - 138*w + 40 = 0.
-20, 1, 2
Determine f, given that 2*f**2/9 + 4*f/9 - 16/3 = 0.
-6, 4
Factor -3*f**2 + 612*f.
-3*f*(f - 204)
Let 18*v**5 - 14*v**4 - 94*v**3 - 74*v**2 - 12*v = 0. Calculate v.
-1, -2/9, 0, 3
What is y in 2*y**3/5 + 8*y**2 + 214*y/5 + 176/5 = 0?
-11, -8, -1
Let 8*d**3 + 2*d**2 - 32*d - 8 = 0. What is d?
-2, -1/4, 2
Determine m so that 3*m**2/5 - 298*m/5 - 40 = 0.
-2/3, 100
Suppose 2*d**3 + 1328*d**2 + 2650*d + 1324 = 0. Calculate d.
-662, -1
Suppose -2*r**2/9 - 32*r/3 - 574/9 = 0. Calculate r.
-41, -7
Factor -3*p**4 + 63*p**2 - 60*p.
-3*p*(p - 4)*(p - 1)*(p + 5)
Find l such that -12*l**4/5 + 45*l**3 + 306*l**2/5 - 111*l/5 - 36 = 0.
-1, 3/4, 20
Suppose -f**3/8 + 3*f**2/2 - 41*f/8 + 15/4 = 0. Calculate f.
1, 5, 6
Factor -l**3/5 - 4*l**2 + 43*l/5 - 22/5.
-(l - 1)**2*(l + 22)/5
Factor s**2/5 + 152*s/5.
s*(s + 152)/5
Factor -r**3 - 49*r**2 - 575*r + 625.
-(r - 1)*(r + 25)**2
Determine k, given that -k**2 - 7*k + 18 = 0.
-9, 2
Factor -2*l**5/7 + 4*l**4/7 - 4*l**2/7 + 2*l/7.
-2*l*(l - 1)**3*(l + 1)/7
Let 3*t**4/2 - 5*t**3 + 2*t**2 + 4*t = 0. What is t?
-2/3, 0, 2
What is j in 14*j**4/13 - 36*j**3/13 - 32*j**2/13 + 36*j/13 + 18/13 = 0?
-1, -3/7, 1, 3
Factor -q**4/2 - q**3 - q**2/2.
-q**2*(q + 1)**2/2
Factor 30*f**2 - 64*f + 34.
2*(f - 1)*(15*f - 17)
Factor 20*y**4 + 5*y**3 - 60*y**2 - 55*y - 10.
5*(y - 2)*(y + 1)**2*(4*y + 1)
Determine d, given that 49*d**4 - 126*d**3 + 109*d**2 - 36*d + 4 = 0.
2/7, 1
Let -5*r**4 + 320*r**3 + 325*r**2 = 0. What is r?
-1, 0, 65
Determine f, given that -5*f**4/2 - 105*f**3/2 - 135*f**2 + 10*f + 180 = 0.
-18, -2, 1
Let -m**2/5 - 96*m - 479/5 = 0. Calculate m.
-479, -1
Suppose 16*h**5 - 68*h**4 + 64*h**3 - 12*h**2 = 0. What is h?
0, 1/4, 1, 3
Factor 2*g**3/23 - 70*g**2/23 + 252*g/23 + 1440/23.
2*(g - 30)*(g - 8)*(g + 3)/23
Factor -3*d**3 - 192*d**2 - 2871*d + 6534.
-3*(d - 2)*(d + 33)**2
Factor -k**3/3 + 53*k**2/3 - 775*k/3 + 625.
-(k - 25)**2*(k - 3)/3
Factor 5*j**2 - 2840*j.
5*j*(j - 568)
Factor 12*k**3/5 - 116*k**2/5 + 264*k/5 - 32.
4*(k - 2)*(k - 1)*(3*k - 20)/5
Factor 5*a**2 + 10*a + 5.
5*(a + 1)**2
Factor -405*q**2 + 167760*q - 17372480.
-5*(9*q - 1864)**2
Determine u so that 2*u**2/7 + 8*u + 360/7 = 0.
-18, -10
Factor 3*d**2 + 606*d + 4095.
3*(d + 7)*(d + 195)
Solve -v**3/6 + v**2/6 + 17*v/6 + 5/2 = 0.
-3, -1, 5
Factor 80*d**4 - 600*d**3 + 245*d**2 + 240*d + 35.
5*(d - 7)*(d - 1)*(4*d + 1)**2
Suppose 2*v**4/19 + 64*v**3/19 - 78*v**2/19 - 396*v/19 = 0. Calculate v.
-33, -2, 0, 3
Find z, given that 20*z**2 - 12535*z + 9390 = 0.
3/4, 626
Factor g**2 + 18*g - 88.
(g - 4)*(g + 22)
Factor 4*v**4 + 96*v**3 + 456*v**2 - 1664*v - 2028.
4*(v - 3)*(v + 1)*(v + 13)**2
Suppose -4*w**4 - 440*w**3 - 10708*w**2 + 76560*w - 121104 = 0. What is w?
-58, 3
Suppose 2*r**2/7 - 12*r/7 + 10/7 = 0. Calculate r.
1, 5
Factor -8*g**3 + 3474*g**2 - 7780*g + 1728.
-2*(g - 432)*(g - 2)*(4*g - 1)
Factor l**2/6 + 9*l + 51/2.
(l + 3)*(l + 51)/6
Factor 5*m**4 - 220*m**3 + 3630*m**2 - 26620*m + 73205.
5*(m - 11)**4
Determine v so that -3*v**2 - 942*v - 1872 = 0.
-312, -2
Factor 2*i**5/13 - 4*i**4 + 506*i**3/13 - 168*i**2 + 3528*i/13.
2*i*(i - 7)**2*(i - 6)**2/13
Factor 2*v**5/3 + 6*v**4 + 64*v**3/3 + 112*v**2/3 + 32*v + 32/3.
2*(v + 1)*(v + 2)**4/3
Determine d so that -4*d**4 + 80*d**3 + 460*d**2 - 1880*d + 1344 = 0.
-7, 1, 2, 24
Factor q**5/3 - q**4/3 - q**3 + q**2/3 + 2*q/3.
q*(q - 2)*(q - 1)*(q + 1)**2/3
Solve 2*t**2/9 - 88*t/9 - 10 = 0 for t.
-1, 45
Determine k, given that -2*k**2 + 86*k + 88 = 0.
-1, 44
What is i in -4*i**2 - 448*i - 5488 = 0?
-98, -14
Suppose -36*i**4 - 136*i**3 - 148*i**2 - 32*i + 16 = 0. What is i?
-2, -1, 2/9
Factor 4*g**2 - 1664*g + 173056.
4*(g - 208)**2
Suppose 3*k**4 + 99*k**3 + 798*k**2 + 1476*k - 2376 = 0. What is k?
-22, -6, 1
Solve 2*j**5 + 2*j**4 - 20*j**3 - 20*j**2 + 18*j + 18 = 0.
-3, -1, 1, 3
Solve -2*z**5 - 107*z**4/5 + 163*z**3/5 + 71*z**2/5 - 153*z/5 + 36/5 = 0.
-12, -1, 3/10, 1
Factor -u**3/4 - 79*u**2/4 + 61*u - 41.
-(u - 2)*(u - 1)*(u + 82)/4
Suppose p**4/2 - 183*p**3/2 = 0. Calculate p.
0, 183
Let -4*f**4 + 180*f**2 - 560*f + 384 = 0. Calculate f.
-8, 1, 3, 4
Factor 2*q**3/5 - 52*q**2/5.
2*q**2*(q - 26)/5
Factor -2*i**4/9 + 140*i**3/9