hat -8*m**4 - 54*m**3 + 94*m**2 + 108*m - 32 = 0.
-8, -1, 1/4, 2
Suppose 2*j**3/11 - 4*j**2/11 - 82*j/11 + 84/11 = 0. Calculate j.
-6, 1, 7
What is m in 2*m**5 - 210*m**4 + 5184*m**3 + 17496*m**2 = 0?
-3, 0, 54
Factor 4*i**4 - 316*i**3 + 620*i**2 - 308*i.
4*i*(i - 77)*(i - 1)**2
Factor -72*h**3 - 264*h**2 - 290*h - 100.
-2*(h + 2)*(6*h + 5)**2
Factor 5*g**4 + 15*g**3 + 5*g**2 - 15*g - 10.
5*(g - 1)*(g + 1)**2*(g + 2)
Suppose -4*g**5/7 - 4*g**4/7 + 16*g**3/7 + 16*g**2/7 = 0. What is g?
-2, -1, 0, 2
Factor -3*c**4/5 + 66*c**3/5 - 531*c**2/5 + 1848*c/5 - 2352/5.
-3*(c - 7)**2*(c - 4)**2/5
Factor u**4 + 17*u**3 + 30*u**2.
u**2*(u + 2)*(u + 15)
Find p, given that 4*p**5 + 14*p**4 - 44*p**3 + 8*p**2 + 40*p - 22 = 0.
-11/2, -1, 1
Suppose 5*b**3 - 670*b**2 + 3245*b - 2580 = 0. Calculate b.
1, 4, 129
Let 2*h**3/21 + 208*h**2/21 + 742*h/3 - 11236/21 = 0. Calculate h.
-53, 2
Factor 5*v**3 - 255*v**2 + 3120*v + 3380.
5*(v - 26)**2*(v + 1)
Factor 2*p**3/9 - 50*p/9.
2*p*(p - 5)*(p + 5)/9
Find v, given that -v**2/5 - 376*v/5 - 35344/5 = 0.
-188
Suppose -4*t**4/7 - 16*t**3/7 + 4*t**2 + 136*t/7 + 96/7 = 0. What is t?
-4, -2, -1, 3
Find b, given that 2*b**4/3 - 106*b**3/3 + 450*b**2 + 486*b = 0.
-1, 0, 27
Factor 5*m**2 + 40*m + 35.
5*(m + 1)*(m + 7)
Let -3*f**2 + 6*f - 3 = 0. What is f?
1
Factor -2*x**2/13 + 36*x/13 + 80/13.
-2*(x - 20)*(x + 2)/13
Find t, given that 49*t**4/5 + 273*t**3/5 + 144*t**2/5 + 4*t = 0.
-5, -2/7, 0
Factor -2*j**2 - 46*j + 48.
-2*(j - 1)*(j + 24)
Factor 3*c**4/5 - 3*c**3/5 - 9*c**2/5 + 3*c/5 + 6/5.
3*(c - 2)*(c - 1)*(c + 1)**2/5
Factor -4*j**5/5 + 336*j**4/5 - 332*j**3/5.
-4*j**3*(j - 83)*(j - 1)/5
Factor 2*l**4/7 + 172*l**3/7 - 4896*l**2/7 + 5888*l - 112640/7.
2*(l - 8)**3*(l + 110)/7
Factor 85*k**2/2 - 2325*k/2 + 405.
5*(k - 27)*(17*k - 6)/2
Suppose -5*a**2 + 864*a + 173 = 0. Calculate a.
-1/5, 173
Factor 2*h**2/11 + 20832*h/11 + 54246528/11.
2*(h + 5208)**2/11
Suppose 2*o**5/3 - 32*o**4/3 + 46*o**3 + 20*o**2/3 - 800*o/3 = 0. Calculate o.
-2, 0, 5, 8
Suppose 2*b**3 + 26*b**2 + 24*b = 0. Calculate b.
-12, -1, 0
Factor 3*j**4 - 57*j**3 + 342*j**2 - 768*j + 480.
3*(j - 10)*(j - 4)**2*(j - 1)
Factor 5*i**2 + 20470*i + 20951045.
5*(i + 2047)**2
Factor -x**3/3 - 38*x**2/3 - 91*x + 588.
-(x - 4)*(x + 21)**2/3
Determine b so that 35*b**4 - 260*b**3 + 260*b**2 + 240*b = 0.
-4/7, 0, 2, 6
Factor -2*g**3/5 + 486*g**2/5 - 29766*g/5 + 29282/5.
-2*(g - 121)**2*(g - 1)/5
Let 8*i**5/13 + 654*i**4/13 - 844*i**3/13 - 1158*i**2/13 + 332*i/13 = 0. What is i?
-83, -1, 0, 1/4, 2
What is v in 2*v**2 - 52*v + 338 = 0?
13
Factor -2*x**3/3 + 34*x**2/3 + 8*x/3 - 136/3.
-2*(x - 17)*(x - 2)*(x + 2)/3
Determine c, given that 5*c**5 + 145*c**4 + 1245*c**3 + 2795*c**2 + 1690*c = 0.
-13, -2, -1, 0
Factor -16*c**3 - 36*c**2 + 4*c + 24.
-4*(c + 1)*(c + 2)*(4*c - 3)
Find l such that 3*l**2 + 3030*l + 6048 = 0.
-1008, -2
Suppose -12*c**4 + 1708*c**3 - 3940*c**2 + 2804*c - 560 = 0. What is c?
1/3, 1, 140
Factor -v**3/6 + v**2/3 + 7*v/6 + 2/3.
-(v - 4)*(v + 1)**2/6
Factor -3*i**4 + 12*i**3 + 54*i**2 + 60*i + 21.
-3*(i - 7)*(i + 1)**3
Let 5*i**4 + 50*i**3 - 20*i**2 - 680*i + 960 = 0. What is i?
-8, -6, 2
Let -2*x**5 + 252*x**4 - 11454*x**3 + 219868*x**2 - 1550856*x + 2963088 = 0. Calculate x.
3, 9, 38
Factor -2*l**2/9 + 130*l/9 + 500/3.
-2*(l - 75)*(l + 10)/9
Let 3*l**2/5 - 4824*l/5 + 4821/5 = 0. What is l?
1, 1607
Let 3*a**5 - 9*a**4 + 3*a**3 + 9*a**2 - 6*a = 0. Calculate a.
-1, 0, 1, 2
Let 5*d**5 - 10*d**4 - 60*d**3 + 70*d**2 + 55*d - 60 = 0. What is d?
-3, -1, 1, 4
What is x in 4*x**5 + 88*x**4 + 276*x**3 - 2288*x**2 + 2704*x = 0?
-13, 0, 2
Suppose z**4/5 + 7*z**3/5 - 7*z**2/5 - 43*z/5 + 42/5 = 0. Calculate z.
-7, -3, 1, 2
Factor u**5/4 + 8*u**4 - 51*u**3/2 + 26*u**2 - 35*u/4.
u*(u - 1)**3*(u + 35)/4
Factor 4*n**3/7 - 136*n**2/7 + 496*n/7 - 480/7.
4*(n - 30)*(n - 2)**2/7
What is x in 10*x**5/13 + 14*x**4/13 - 56*x**3/13 - 64*x**2/13 + 64*x/13 + 32/13 = 0?
-2, -2/5, 1, 2
What is u in 5*u**3 - 35*u**2 + 70*u - 40 = 0?
1, 2, 4
Factor 2*n**2 + 18*n/5 - 4/5.
2*(n + 2)*(5*n - 1)/5
What is s in 3*s**5/4 + 87*s**4/4 + 255*s**3/4 - 1179*s**2/4 - 675*s/2 = 0?
-25, -6, -1, 0, 3
Factor 3*c**3 - 447*c**2 + 18105*c - 105861.
3*(c - 71)**2*(c - 7)
Factor f**2/6 - f/2.
f*(f - 3)/6
Solve 2*d**4/3 - 692*d**3 + 238736*d**2 - 81396484*d/3 - 83563846 = 0.
-3, 347
Factor 2*x**2 + 11402*x - 11404.
2*(x - 1)*(x + 5702)
Factor 3*w**2/4 - 552*w + 101568.
3*(w - 368)**2/4
Solve -k**4 + 58*k**2 - 192*k + 135 = 0 for k.
-9, 1, 3, 5
Factor -3*w**3/7 + 2202*w**2/7 + 4425*w/7 - 6624/7.
-3*(w - 736)*(w - 1)*(w + 3)/7
Find b, given that b**2/5 + 56*b/5 + 99 = 0.
-45, -11
Determine b so that -3*b**5/2 - 93*b**4/2 - 159*b**3 + 99*b**2 + 945*b/2 - 729/2 = 0.
-27, -3, 1
Solve -3*c**2/5 + 294*c/5 + 309 = 0.
-5, 103
Let 9*s**4 - 1996*s**3 - 453*s**2 + 1996*s + 444 = 0. Calculate s.
-1, -2/9, 1, 222
Factor -b**3 - 1032*b**2 + b + 1032.
-(b - 1)*(b + 1)*(b + 1032)
Suppose 2*y**2/13 + 12*y/13 - 14/13 = 0. What is y?
-7, 1
Find g such that -4361780*g**3/3 + 594024*g**2 - 5008*g + 32/3 = 0.
2/467, 2/5
Factor 2*o**3/7 - 20*o**2/7 - 8*o/7 + 80/7.
2*(o - 10)*(o - 2)*(o + 2)/7
Factor 6*u**3 - 105*u**2 + 48*u + 51.
3*(u - 17)*(u - 1)*(2*u + 1)
Factor 2*k**4/9 - 4*k**3/9 - 26*k**2/9 - 20*k/9.
2*k*(k - 5)*(k + 1)*(k + 2)/9
Factor 4*h**4 - 12*h**3 - 4*h**2 + 12*h.
4*h*(h - 3)*(h - 1)*(h + 1)
What is t in t**4/4 - 31*t**3/4 - 25*t**2 - 17*t = 0?
-2, -1, 0, 34
Factor 2*k**4/3 - 194*k**3/3 + 188*k**2/3 + 128*k.
2*k*(k - 96)*(k - 2)*(k + 1)/3
Let 4*j**5 - 136*j**4 + 260*j**3 - 128*j**2 = 0. What is j?
0, 1, 32
Let 3*l**3 - 54*l**2 + 51*l = 0. What is l?
0, 1, 17
Factor -w**5/4 - 245*w**4/4 - 3782*w**3 - 3721*w**2.
-w**2*(w + 1)*(w + 122)**2/4
Factor 4*j**3 - 365*j**2 - 653*j + 186.
(j - 93)*(j + 2)*(4*j - 1)
Find w such that -2*w**2/3 + 266*w/3 + 268/3 = 0.
-1, 134
Solve 5*v**5 + 35*v**4 - 560*v**3 - 1880*v**2 + 20400*v - 18000 = 0 for v.
-10, 1, 6
Factor 4*f**5 - 672*f**4 + 37628*f**3 - 701792*f**2 - 37632*f + 702464.
4*(f - 56)**3*(f - 1)*(f + 1)
Factor -2*c**4/9 - 2584*c**3/9 - 417316*c**2/3 - 269586136*c/9 - 21769080482/9.
-2*(c + 323)**4/9
Factor -4*v**2 + 20*v + 24.
-4*(v - 6)*(v + 1)
Let 3*m**3 - 225*m**2 + 4536*m - 11664 = 0. Calculate m.
3, 36
Solve -2*f**5 - 46*f**4/3 - 62*f**3/3 - 10*f**2/3 + 4*f = 0.
-6, -1, 0, 1/3
Solve 2*k**2 - 2534*k = 0 for k.
0, 1267
Factor q**4/3 + 26*q**3/3 + 23*q**2/3 - 50*q/3.
q*(q - 1)*(q + 2)*(q + 25)/3
Find i, given that -2*i**4/3 + 98*i**3/3 - 368*i**2/3 + 120*i = 0.
0, 2, 45
Factor 2*m**3/11 + 18*m**2/11 - 2*m/11 - 18/11.
2*(m - 1)*(m + 1)*(m + 9)/11
Factor -4*w**2 + 8664*w - 4691556.
-4*(w - 1083)**2
What is h in 2*h**3 - 170*h**2 + 3696*h - 3528 = 0?
1, 42
Factor 2*i**2/9 - 74*i/9 - 52/3.
2*(i - 39)*(i + 2)/9
Factor -a**2 - 29*a.
-a*(a + 29)
Determine x, given that 32*x**4/19 + 2032*x**3/19 + 2994*x**2/19 + 1118*x/19 + 124/19 = 0.
-62, -1, -1/4
Let 2*h**3/7 + 106*h**2/7 - 1520*h/7 + 2600/7 = 0. Calculate h.
-65, 2, 10
Factor -u**2/6 - 6*u + 38/3.
-(u - 2)*(u + 38)/6
Suppose -n**3 - n**2 + 36*n + 36 = 0. What is n?
-6, -1, 6
Solve 5*x**5 + 135*x**4 + 400*x**3 - 1380*x**2 = 0.
-23, -6, 0, 2
Factor 105*c**3 + 430*c**2 + 460*c + 40.
5*(c + 2)**2*(21*c + 2)
Factor 2*u**2/7 + 4432*u/7 + 2455328/7.
2*(u + 1108)**2/7
Factor -5*o**4 + 60*o**3 - 160*o**2 - 240*o + 720.
-5*(o - 6)**2*(o - 2)*(o + 2)
Determine q so that -3*q**3 + 207*q**2 + 864*q + 876 = 0.
-2, 73
Factor -j**4/4 - 161*j**3/4 - 2223*j**2 - 45292*j - 175760.
-(j + 5)*(j + 52)**3/4
Solve 9*b**2 - 192*b - 132 = 0.
-2/3, 22
Solve -100*m**3/3 + 720*m**2 + 292*m + 88/3 = 0.
-1/5, 22
Determine u so that 2*u**2/5 - 124*u/5 = 0.
0, 62
Factor 9*v**2 + 32*v - 16.
(v + 4)*(9*v - 4)
Factor 2*d**4 + 22*d**3 - 206*d**2 - 1870*d + 4356.
2*(d - 9)*(d - 2)*(d + 11)**2
Factor -4*r**2/3 + 3928*r/3 + 2624.
-4*(r - 984)*(r + 2)/3
Determine m, given that -3*m**2 - 1836*m - 280908 = 0.
-306
Suppose -2*r**3 + 20*r**2/9 + 14*r/9 - 16/9 = 0. What is r?
-8/9, 1
Determine r so that 4*r**3/5 - 96*r**2/5 - 68*r + 432/5 = 0.
-4, 1, 27
What is c in 2*c**3/5 + 64*c**2/5 + 278*c/5 + 216/5 = 0?
-27, -4, -1
Factor 6*y**3/7 - 88*y**2/7 + 256*y/7 + 512/7.
2*(y - 8)**2*(3*y + 4)/7
Factor -s**4 + 362*s**3 - 43560*s**2 + 1727638*s + 1771561.
-(s - 121)**3*(s + 1)
Fa