- 228*h**3/5 + 234*h**2/5 - 84*h/5 + 3/5 = 0.
1/25, 1
Factor j**3/8 + j**2/4 - 5*j/8 - 3/4.
(j - 2)*(j + 1)*(j + 3)/8
Determine y, given that 2*y**2 + 44*y + 80 = 0.
-20, -2
What is a in 3*a**5 - 4*a**4 - 35*a**3 + 96*a**2 - 76*a + 16 = 0?
-4, 1/3, 1, 2
Find w such that -w**3/8 - 35*w**2/8 + w/2 + 35/2 = 0.
-35, -2, 2
Factor -f**2/3 + 46*f - 1587.
-(f - 69)**2/3
Factor 18*x**4 - 22*x**3 - 32*x**2 + 8*x.
2*x*(x - 2)*(x + 1)*(9*x - 2)
Let -624*p**3 - 552*p**2 - 159*p - 15 = 0. What is p?
-5/13, -1/4
Let 2*r**4/11 + 14*r**3/11 + 34*r**2/11 + 34*r/11 + 12/11 = 0. What is r?
-3, -2, -1
Solve 2*q**5/13 + 18*q**4 - 242*q**3/13 - 698*q**2/13 + 1176*q/13 - 472/13 = 0.
-118, -2, 1
Suppose -100*h**4 + 1080*h**3 + 244*h**2 - 264*h = 0. Calculate h.
-3/5, 0, 2/5, 11
Suppose 10045*w**5/3 - 234850*w**4/3 + 1298060*w**3/3 + 870760*w**2/3 + 52480*w + 1920 = 0. Calculate w.
-2/7, -2/41, 12
Factor 2*k**4/7 + 2*k**3 - 6*k**2/7 - 46*k/7 - 4.
2*(k - 2)*(k + 1)**2*(k + 7)/7
What is y in -y**2 - 1214*y - 368449 = 0?
-607
Determine d, given that -48*d**3 - 24*d**2 + 525*d - 588 = 0.
-4, 7/4
Factor -3*l**2/5 + 1533*l/5.
-3*l*(l - 511)/5
Factor -2*y**4/3 - 10*y**3/3.
-2*y**3*(y + 5)/3
Suppose 22*u**5 - 70*u**4 - 98*u**3 + 86*u**2 + 76*u - 16 = 0. What is u?
-1, 2/11, 1, 4
Suppose 3*j**4 - 84*j**3 - 3*j**2 + 84*j = 0. Calculate j.
-1, 0, 1, 28
Determine y so that y**5/2 - 21*y**4 + 489*y**3/2 + 40*y**2 - 8832*y - 18432 = 0.
-3, 16
Factor 4*p**4 - 376*p**3 + 8036*p**2 + 38416*p.
4*p*(p - 49)**2*(p + 4)
Factor -7*v**2 + 134*v - 19.
-(v - 19)*(7*v - 1)
Factor -5*d**3 - 745*d**2.
-5*d**2*(d + 149)
Factor -2*c**3/9 - 10*c**2/9 - 16*c/9 - 8/9.
-2*(c + 1)*(c + 2)**2/9
Factor -8*k**2/15 + 424*k/15 - 5618/15.
-2*(2*k - 53)**2/15
Determine f so that -18*f**5 - 57*f**4 - 9*f**3 = 0.
-3, -1/6, 0
Find l such that -5*l**2 - 20*l + 160 = 0.
-8, 4
Let -12*j**5/5 + 58*j**4/5 + 682*j**3/5 - 608*j**2/5 - 24*j = 0. What is j?
-6, -1/6, 0, 1, 10
Factor -8*q**3 + 2960*q**2 + 2966*q + 742.
-2*(q - 371)*(2*q + 1)**2
Let 2*r**4 - 38*r**3 + 118*r**2 + 38*r - 120 = 0. What is r?
-1, 1, 4, 15
Factor z**4/6 - 20*z**3/3 + 84*z**2 - 784*z/3 - 2744/3.
(z - 14)**3*(z + 2)/6
Factor 3*z**4/4 + 3423*z**3/4 - 6855*z**2/4 + 3429*z/4.
3*z*(z - 1)**2*(z + 1143)/4
Find s, given that s**3 - 56*s**2 - 115*s - 58 = 0.
-1, 58
Find m, given that 5*m**3/2 - 65*m**2 + 525*m/2 = 0.
0, 5, 21
Solve -8*b**4/5 + 582*b**3/5 - 998*b**2/5 + 282*b/5 + 142/5 = 0 for b.
-1/4, 1, 71
Solve -s**2/8 - 92*s - 16928 = 0.
-368
Factor 5*x**3 - 105*x**2 - 225*x - 115.
5*(x - 23)*(x + 1)**2
Factor n**2 - 894*n + 199809.
(n - 447)**2
Let 3*n**5 + 3*n**4 - 15*n**3 + 9*n**2 = 0. What is n?
-3, 0, 1
Find u, given that -3*u**4 + 45*u**3 + 48*u**2 = 0.
-1, 0, 16
Find a such that a**4/9 + 11*a**3/9 + 43*a**2/9 + 23*a/3 + 4 = 0.
-4, -3, -1
Factor -2*r**5/11 - 510*r**4/11 - 4482*r**3/11 - 13338*r**2/11 - 13284*r/11.
-2*r*(r + 3)**3*(r + 246)/11
Suppose -8*r**4 - 130*r**3 - 786*r**2 - 2096*r - 2080 = 0. What is r?
-5, -4, -13/4
Factor 2*b**3/5 + 80*b**2 + 21504*b/5 + 147456/5.
2*(b + 8)*(b + 96)**2/5
Factor -11*h**3 - 173*h**2/2 + 12*h.
-h*(h + 8)*(22*h - 3)/2
Factor -2*v**4 - 48*v**3 + 6*v**2 + 140*v - 96.
-2*(v - 1)**2*(v + 2)*(v + 24)
Factor 2*k**5/5 + 1144*k**4/5 + 164732*k**3/5 + 65208*k**2 + 32490*k.
2*k*(k + 1)**2*(k + 285)**2/5
Suppose 2*f**4/7 + 20*f**3/7 = 0. What is f?
-10, 0
Factor -141*p**2 - 4*p.
-p*(141*p + 4)
Determine h so that 2*h**4 + 42*h**3 + 226*h**2 + 438*h + 252 = 0.
-14, -3, -1
Suppose -21*b**4/8 + 81*b**3/8 - 93*b**2/8 + 27*b/8 + 3/4 = 0. Calculate b.
-1/7, 1, 2
Factor 3*j**4 + 57*j**3.
3*j**3*(j + 19)
Let -2*m**2/5 + 32*m/5 - 96/5 = 0. What is m?
4, 12
What is b in 2*b**2/5 + 128*b/5 + 2048/5 = 0?
-32
Let 2*d**2/5 + 86*d + 1272/5 = 0. Calculate d.
-212, -3
Determine c so that 2*c**4/7 - 2*c**3/7 - 1350*c**2/7 - 12150*c/7 + 13500/7 = 0.
-15, 1, 30
Factor 4*t**2/3 + 21*t - 16/3.
(t + 16)*(4*t - 1)/3
Determine y so that 3*y**4/5 - 28*y**3/5 - 138*y**2/5 - 68*y/5 + 39/5 = 0.
-3, -1, 1/3, 13
Determine s so that s**2 + 608*s = 0.
-608, 0
Solve -2*q**4 + 38*q**3 - 246*q**2 + 602*q - 392 = 0.
1, 4, 7
What is j in -j**4/3 + j**3/3 + 37*j**2/3 + 35*j/3 = 0?
-5, -1, 0, 7
What is c in c**5 + 4*c**4 - 18*c**3 - 40*c**2 + 113*c - 60 = 0?
-5, -4, 1, 3
What is x in 38*x**2 - 18*x - 20 = 0?
-10/19, 1
Factor 20*i**2 - 312*i - 128.
4*(i - 16)*(5*i + 2)
Factor -2*c**3/11 - 26*c**2/11 - 80*c/11 - 72/11.
-2*(c + 2)**2*(c + 9)/11
Factor -r**5/4 + 9*r**4/4 - 15*r**3/4 + 7*r**2/4.
-r**2*(r - 7)*(r - 1)**2/4
Factor f**5/3 + 13*f**4 + 554*f**3/3 + 3278*f**2/3 + 1815*f - 9317/3.
(f - 1)*(f + 7)*(f + 11)**3/3
Suppose -3*d**4/7 - 36*d**3 - 492*d**2/7 = 0. What is d?
-82, -2, 0
Find a such that -5*a**4 + 170*a**3 - 1945*a**2 + 8320*a - 10140 = 0.
2, 6, 13
Factor z**3 + 417*z**2 + 43263*z - 43681.
(z - 1)*(z + 209)**2
Solve 2*i**5/7 + 4048*i**4/7 + 3072432*i**3/7 + 1036433728*i**2/7 + 131108866592*i/7 = 0.
-506, 0
Determine r so that 5*r**2 + 120*r + 675 = 0.
-15, -9
Factor i**3/7 + 5*i**2 + 288*i/7 - 324/7.
(i - 1)*(i + 18)**2/7
Let r**2/5 + 566*r/5 + 80089/5 = 0. What is r?
-283
Factor -5*x**2/6 - 255*x - 1525/6.
-5*(x + 1)*(x + 305)/6
What is l in -2*l**4/3 - 26*l**3/3 - 88*l**2/3 - 64*l/3 = 0?
-8, -4, -1, 0
Find l such that 2*l**2/3 + 76*l/3 + 722/3 = 0.
-19
Let -2*u**2/9 - 14*u/3 = 0. Calculate u.
-21, 0
Factor -k**2/6 - 4*k/3 - 5/2.
-(k + 3)*(k + 5)/6
Factor 2*z**4/5 + 4*z**3 + 42*z**2/5 - 8*z/5 - 56/5.
2*(z - 1)*(z + 2)**2*(z + 7)/5
Factor -4*d**3/5 + 116*d**2/5 - 44*d + 108/5.
-4*(d - 27)*(d - 1)**2/5
Factor 2*v**4 - 4*v**3 + 2*v**2.
2*v**2*(v - 1)**2
Find a, given that 2*a**3 + 2*a**2 - 16*a - 24 = 0.
-2, 3
Factor w**3/4 - 15*w**2/2 - 16*w.
w*(w - 32)*(w + 2)/4
Find g such that -4*g**2/9 - 160*g/3 - 1600 = 0.
-60
Let c**2/5 + 38*c/5 + 136/5 = 0. What is c?
-34, -4
Factor 2*q**2/5 - 1428*q/5 + 1426/5.
2*(q - 713)*(q - 1)/5
What is t in 3*t**3 + 402*t**2 + 13467*t = 0?
-67, 0
Determine k, given that -2*k**3 - 80*k**2 + 86*k + 164 = 0.
-41, -1, 2
Solve 2*p**3/13 - 6022*p**2/13 = 0 for p.
0, 3011
Factor 4*v**4 + 116*v**3 + 1032*v**2 + 1840*v - 8800.
4*(v - 2)*(v + 10)**2*(v + 11)
Factor -8*a**3 + 10*a**2 - 2*a.
-2*a*(a - 1)*(4*a - 1)
Solve 5*m**5 - 5*m**3 = 0.
-1, 0, 1
Solve -4*p**2 - 808*p + 1632 = 0.
-204, 2
What is u in 10*u**2/11 + 1306*u/11 + 780/11 = 0?
-130, -3/5
Factor 36*l**2 - 16*l.
4*l*(9*l - 4)
Suppose -x**5 - 3*x**4 + 11*x**3 + 3*x**2 - 10*x = 0. Calculate x.
-5, -1, 0, 1, 2
Factor -6*l**3 - 22*l**2 - 10*l + 6.
-2*(l + 1)*(l + 3)*(3*l - 1)
Factor 2*h**2/7 + 382*h/7 + 368.
2*(h + 7)*(h + 184)/7
Solve m**3/4 + 34*m**2 + 4485*m/4 - 4761/2 = 0 for m.
-69, 2
Let 2*u**5/9 - 16*u**4/9 + 14*u**3/3 - 44*u**2/9 + 16*u/9 = 0. Calculate u.
0, 1, 2, 4
Factor 4*q**4 + 44*q**3 + 144*q**2 + 144*q.
4*q*(q + 2)*(q + 3)*(q + 6)
Factor 2*n**4 + 59*n**3 + 419*n**2 - 255*n - 225.
(n - 1)*(n + 15)**2*(2*n + 1)
Let -y**3 + 9*y**2 + 10*y = 0. Calculate y.
-1, 0, 10
Find k such that -21*k**3 + 111*k**2 - 15*k - 75 = 0.
-5/7, 1, 5
Factor 2*b**3/11 + 530*b**2/11 + 2094*b/11 + 1566/11.
2*(b + 1)*(b + 3)*(b + 261)/11
Solve u**2/6 + 352*u/3 = 0 for u.
-704, 0
Determine k so that -k**5/2 - 12*k**4 - 43*k**3 - 62*k**2 - 81*k/2 - 10 = 0.
-20, -1
Factor -2*h**2 - 938*h - 1868.
-2*(h + 2)*(h + 467)
Factor -x**5/5 + x**4/5.
-x**4*(x - 1)/5
Factor -3*s**4 + 1353*s**3 - 150501*s**2 - 463761*s.
-3*s*(s - 227)**2*(s + 3)
Suppose -6*t**3 + 148*t**2 - 94*t - 48 = 0. What is t?
-1/3, 1, 24
Find s, given that -3*s**5/2 - 1371*s**4/8 - 39297*s**3/8 - 6003*s**2/8 + 105165*s/8 - 29241/4 = 0.
-57, -2, 3/4, 1
Determine a, given that 2*a**4 - 1864*a**3 + 436172*a**2 - 866760*a + 432450 = 0.
1, 465
Factor 2*j**2/11 - 764*j/11 + 72962/11.
2*(j - 191)**2/11
Suppose -2*b**3/5 - 28*b**2/5 - 64*b/5 + 256/5 = 0. What is b?
-8, 2
Determine t so that -3*t**3/7 + 39*t**2/7 + 390*t/7 + 600/7 = 0.
-5, -2, 20
Suppose 15*p**5 + 21*p**4 - 459*p**3 - 1101*p**2 - 816*p - 180 = 0. What is p?
-5, -1, -2/5, 6
Factor -3*s**2/7 + 75*s/7.
-3*s*(s - 25)/7
Solve o**4/2 + 4*o**3 - 13*o**2/2 - 16*o + 18 = 0.
-9, -2, 1, 2
Factor z**4 + 48*z**3 + 405*z**2 - 4374*z.
z*(z - 6)*(z + 27)**2
Determine l so that -867*l**5/4 - 7854*l**4 + 57669*l**3/4 - 9039*l**2/2 - 1713*l - 114 = 0.
-38, -2/17, 1
Let -8*c**5/13 - 