
0, 1, 55
Determine w so that 4*w**5 - 1540*w**4 + 222720*w**3 - 14376960*w**2 + 353894400*w - 339738624 = 0.
1, 96
Factor 3*b**4 - 33*b**3 + 108*b**2 - 108*b.
3*b*(b - 6)*(b - 3)*(b - 2)
Determine r, given that 12*r**4 - 473*r**3 + 193*r**2 + 78*r = 0.
-1/4, 0, 2/3, 39
Factor -22*x**3 - 91*x**2 - 100*x - 12.
-(x + 2)**2*(22*x + 3)
Determine x so that 4*x**4 + 56*x**3 + 236*x**2 + 184*x - 480 = 0.
-6, -5, -4, 1
Factor 2*t**2 + 183*t/2 - 23.
(t + 46)*(4*t - 1)/2
Solve 5*o**3 + 51*o**2 - 45*o - 11 = 0.
-11, -1/5, 1
Solve n**2 - 347*n + 346 = 0 for n.
1, 346
Solve -200*y**5 + 53320*y**4 - 3515938*y**3 - 5087212*y**2 + 3995880*y - 646416 = 0 for y.
-2, 3/10, 134
Determine u so that 3*u**4 + 520*u**3 + 22877*u**2 + 29756*u + 7396 = 0.
-86, -1, -1/3
Find g, given that 220*g**4 + 62*g**3 - 220*g**2 - 26*g + 36 = 0.
-1, -1/2, 2/5, 9/11
Factor 4*w**2 + 20*w + 16.
4*(w + 1)*(w + 4)
Factor -2*p**3/5 + 56*p**2/5 - 256*p/5 - 2048/5.
-2*(p - 16)**2*(p + 4)/5
Factor -5*v**2/2 - 145*v/2 - 195.
-5*(v + 3)*(v + 26)/2
Factor -r**2 - 5*r + 104.
-(r - 8)*(r + 13)
Suppose -3*d**3/5 + 141*d**2/5 + 291*d/5 + 147/5 = 0. What is d?
-1, 49
Determine r, given that -5*r**3 - 5*r**2 = 0.
-1, 0
What is z in -2*z**2/3 - 284*z/3 - 368 = 0?
-138, -4
Determine u so that 2*u**2/5 + 34*u/5 - 76/5 = 0.
-19, 2
Factor -142805*t**4 + 87880*t**3 - 20280*t**2 + 2080*t - 80.
-5*(13*t - 2)**4
Factor 2*b**4/5 - 34*b**3/5 + 192*b**2/5 - 72*b.
2*b*(b - 6)**2*(b - 5)/5
Determine v so that 4*v**2 + 496*v - 500 = 0.
-125, 1
Factor -l**2 - 274*l - 18769.
-(l + 137)**2
Find g, given that 3*g**4/8 - 423*g**3/8 + 1233*g**2/4 - 1221*g/2 + 405 = 0.
2, 135
Factor t**3 - 5*t**2 + 6*t.
t*(t - 3)*(t - 2)
Let q**2/8 + 29*q/2 + 841/2 = 0. What is q?
-58
Factor -4*f**5 - 12*f**4 + 4*f**3 + 44*f**2 + 48*f + 16.
-4*(f - 2)*(f + 1)**3*(f + 2)
Factor -2*c**2 + 4*c + 390.
-2*(c - 15)*(c + 13)
What is c in -3*c**3 + 3537*c**2 + 3*c - 3537 = 0?
-1, 1, 1179
Factor 4*b**3 - 28*b**2 - 40*b + 64.
4*(b - 8)*(b - 1)*(b + 2)
Solve -f**5/8 + 3*f**4/2 - 11*f**3/8 - 23*f**2/2 + 3*f/2 + 10 = 0.
-2, -1, 1, 4, 10
Factor 21*y**4 + 33*y**3 + 3*y**2 - 9*y.
3*y*(y + 1)**2*(7*y - 3)
Determine i so that -8*i**4/3 + 74*i**3/3 - 80*i**2/3 = 0.
0, 5/4, 8
Find c, given that -c**5/5 - 19*c**4/5 - 16*c**3/5 + 36*c**2/5 = 0.
-18, -2, 0, 1
Factor v**3/5 - 11*v**2/5 - 12*v/5.
v*(v - 12)*(v + 1)/5
Find o such that 4*o**4 + 48*o**3 + 68*o**2 - 120*o = 0.
-10, -3, 0, 1
What is v in 2*v**4/3 + 50*v**3/3 + 126*v**2 + 814*v/3 + 484/3 = 0?
-11, -2, -1
Find k, given that -5*k**4 - 10*k**3 + 60*k**2 - 70*k + 25 = 0.
-5, 1
Factor -250*u**3 - 77700*u**2 - 8049720*u - 277983664.
-2*(5*u + 518)**3
Let -p**3/4 - 9*p**2/2 - 15*p - 14 = 0. What is p?
-14, -2
Let -576*o**4 - 2568*o**3 - 4329*o**2/4 - 423*o/4 - 3 = 0. Calculate o.
-4, -1/3, -1/16
Factor -2*b**2/7 - 240*b/7 - 7200/7.
-2*(b + 60)**2/7
What is n in 4*n**4 - 24*n**3 - 16*n**2 + 216*n - 180 = 0?
-3, 1, 3, 5
Suppose -2*j**3 + 66*j**2 + 140*j = 0. What is j?
-2, 0, 35
Factor -8*p**4 + 4*p**3 + 4*p**2.
-4*p**2*(p - 1)*(2*p + 1)
Factor 32*v**3 - 2546*v**2 - 1121*v + 80.
(v - 80)*(2*v + 1)*(16*v - 1)
Suppose l**2 - 17*l + 16 = 0. Calculate l.
1, 16
Find h, given that -2*h**5/13 + 8*h**3/13 = 0.
-2, 0, 2
Factor -12*c**3 - 675*c**2 + 516*c + 171.
-3*(c - 1)*(c + 57)*(4*c + 1)
Let -4*i**5/3 + 76*i**4 - 960*i**3 - 10784*i**2/3 - 320*i + 4800 = 0. What is i?
-2, 1, 30
Factor -6655*g**3 - 177870*g**2 - 1584660*g - 4705960.
-5*(11*g + 98)**3
Factor x**4/3 - 2*x**3 - 8*x**2/3 + 2*x + 7/3.
(x - 7)*(x - 1)*(x + 1)**2/3
Solve 3*m**3 - 1263*m**2 + 1260*m = 0.
0, 1, 420
Determine c so that 35*c**5 + 785*c**4 + 2165*c**3 - 2305*c**2 - 2200*c + 1520 = 0.
-19, -4, -1, 4/7, 1
Find s such that 2*s**5/7 - 10*s**4/7 + 8*s**3/7 = 0.
0, 1, 4
Factor -5*z**4/2 + 15*z**3/2 - 10*z.
-5*z*(z - 2)**2*(z + 1)/2
Find i such that 20*i**5 + 84*i**4 - 104*i**3 - 744*i**2 - 684*i - 108 = 0.
-3, -1, -1/5, 3
Factor 9*i**4/5 - 106*i**3/5 + 381*i**2/5 - 72*i - 20.
(i - 5)**2*(i - 2)*(9*i + 2)/5
Factor -r**2/2 - 675*r/2 + 677.
-(r - 2)*(r + 677)/2
Factor -x**3/3 + 7*x/3 - 2.
-(x - 2)*(x - 1)*(x + 3)/3
Let 2*r**3/3 + 136*r**2/15 + 434*r/15 - 196/15 = 0. Calculate r.
-7, 2/5
Factor t**4/2 + 2*t**3 + 3*t**2/2 - 2*t - 2.
(t - 1)*(t + 1)*(t + 2)**2/2
Suppose -2*n**2/9 - 8*n/3 + 26/9 = 0. Calculate n.
-13, 1
What is l in -294*l**5 - 1988*l**4 - 752*l**3 + 3296*l**2 - 1504*l + 192 = 0?
-6, -2, 2/7, 2/3
Find p, given that -3*p**4/7 - 39*p**3/7 + 552*p**2/7 - 132*p = 0.
-22, 0, 2, 7
Find x such that -6*x**4/5 + 52*x**3/5 + 18*x**2/5 = 0.
-1/3, 0, 9
Factor 14*a**4/3 - 68*a**3/3 + 104*a**2/3 - 16*a.
2*a*(a - 2)**2*(7*a - 6)/3
What is s in 3*s**5 + 9*s**4 - 21*s**3 - 33*s**2 + 18*s + 24 = 0?
-4, -1, 1, 2
Determine v, given that -2*v**4/13 - 10*v**3/13 - 4*v**2/13 + 16*v/13 = 0.
-4, -2, 0, 1
Factor -g**2 - 110*g + 339.
-(g - 3)*(g + 113)
Find u, given that 5*u**2 + 1650*u + 1645 = 0.
-329, -1
Find q such that q**2/4 - 21*q/4 + 49/2 = 0.
7, 14
Factor q**2/7 + 608*q/7 + 92416/7.
(q + 304)**2/7
Factor 2*u**3 - 14*u + 12.
2*(u - 2)*(u - 1)*(u + 3)
Suppose 16*t**3/25 + 92*t**2/25 - 26*t/25 - 12/25 = 0. What is t?
-6, -1/4, 1/2
Let 3*n**4/7 + 36*n**3/7 + 111*n**2/7 + 18*n + 48/7 = 0. Calculate n.
-8, -2, -1
Let -f**3 + 6*f**2 + 24*f - 64 = 0. What is f?
-4, 2, 8
Let -2*b**4 - 50*b**3 - 312*b**2 + 288*b + 3456 = 0. Calculate b.
-12, -4, 3
Suppose p**2/5 - 44*p/5 + 484/5 = 0. What is p?
22
Let -5*r**5 - 55*r**4 - 135*r**3 - 125*r**2 - 40*r = 0. Calculate r.
-8, -1, 0
Find c such that -3*c**2/4 - 45*c/4 = 0.
-15, 0
Factor 2*a**5/7 + 2*a**4/7 - 48*a**3/7 - 176*a**2/7 - 32*a - 96/7.
2*(a - 6)*(a + 1)*(a + 2)**3/7
Factor -2*a**3 - 2*a**2 + 18*a + 18.
-2*(a - 3)*(a + 1)*(a + 3)
Solve -2*o**5 - 386*o**4 + 780*o**3 = 0.
-195, 0, 2
Factor -3*t**4 - 348*t**3 - 10092*t**2.
-3*t**2*(t + 58)**2
Factor -2*a**2/11 - 2*a/11 + 12/11.
-2*(a - 2)*(a + 3)/11
Let -2*j**3/3 - 131*j**2/6 + 6*j + 33/2 = 0. Calculate j.
-33, -3/4, 1
Factor -n**2/4 + 35*n/4 + 39.
-(n - 39)*(n + 4)/4
Factor 4*w**5/7 + 24*w**4/7 - 16*w**3/7 - 136*w**2/7 + 204*w/7 - 80/7.
4*(w - 1)**3*(w + 4)*(w + 5)/7
Factor 2*r**2/7 - 10*r + 248/7.
2*(r - 31)*(r - 4)/7
Factor -4*p**2 - 84*p + 88.
-4*(p - 1)*(p + 22)
Find b, given that -b**5/3 - 29*b**4/3 - 119*b**3/3 + 29*b**2/3 + 40*b = 0.
-24, -5, -1, 0, 1
Determine i so that 22*i**3/19 - 48*i**2/19 + 8*i/19 = 0.
0, 2/11, 2
Suppose 1335*d**3 - 2680*d**2 + 20*d = 0. Calculate d.
0, 2/267, 2
Factor -4*n**2 + 456*n - 896.
-4*(n - 112)*(n - 2)
Factor -a**5 + 5*a**4 + 5*a**3 - 25*a**2 - 40*a - 16.
-(a - 4)**2*(a + 1)**3
Suppose 2*a**3/15 - 728*a**2/15 + 4206*a/5 - 18684/5 = 0. Calculate a.
9, 346
Factor -2*p**3 - 68*p**2 - 526*p - 460.
-2*(p + 1)*(p + 10)*(p + 23)
Find x, given that -2*x**3 - 58*x**2 + 64*x + 120 = 0.
-30, -1, 2
Factor 4*p**4 + 176*p**3 + 172*p**2.
4*p**2*(p + 1)*(p + 43)
Factor -4*f**3 + 1152*f**2 - 110592*f + 3538944.
-4*(f - 96)**3
Factor 3*w**4 - 30*w**3 - 33*w**2.
3*w**2*(w - 11)*(w + 1)
Factor 2*l**3 - 3550*l**2.
2*l**2*(l - 1775)
Factor 4*s**3/3 + 76*s**2/3 + 304*s/3 + 112.
4*(s + 2)*(s + 3)*(s + 14)/3
Factor 4*q**3 + 32*q**2 - 92*q - 120.
4*(q - 3)*(q + 1)*(q + 10)
Solve 3*o**5 - 18*o**4 + 18*o**3 + 60*o**2 - 117*o + 54 = 0.
-2, 1, 3
Factor -2*u**4/21 - 6*u**3/7.
-2*u**3*(u + 9)/21
Suppose -v**4/4 - 5*v**3/4 - 3*v**2/4 + 9*v/4 = 0. Calculate v.
-3, 0, 1
Find i such that -5*i**2 + 315*i + 320 = 0.
-1, 64
What is q in -q**2/4 - 6039*q/2 - 36469521/4 = 0?
-6039
Factor -426*c**2/5 - 4682*c/5 + 44/5.
-2*(c + 11)*(213*c - 2)/5
Factor 7*a**3/6 - 17*a**2/3 + 4*a.
a*(a - 4)*(7*a - 6)/6
Factor o**2 - 884*o + 195364.
(o - 442)**2
Determine z so that 18*z**3 - 298*z**2 + 12320*z/9 - 9800/9 = 0.
1, 70/9
Let u**5/2 - 19*u**4/3 - 19*u**3/2 + 2*u**2 + 14*u/3 = 0. Calculate u.
-1, 0, 2/3, 14
Determine z so that -3*z**5 - 39*z**4 - 141*z**3 - 69*z**2 + 144*z + 108 = 0.
-6, -1, 1
Let 4*c**4 + 46*c**3 + 54*c**2 - 64*c - 40 = 0. Calculate c.
-10, -2, -1/2, 1
Let -14*a**5/5 + 736*a**4/15 + 404*a**3/5 - 584*a**2/15 - 78*a - 152/15 = 0. Calculate a.
-4/3, -1, -1/7, 1, 19
Factor -4*g**3 - 36*g**2 - 80*g.
-4*g*(g + 4)*(g + 5)
Factor h**3 - 7*h**2 + 15*h - 9.
(h - 3)**2*(h - 1)
Suppose -3*s**3 + 15*s**2 + 18*s = 0. What is s?
-1, 0, 6
Solve 2*o**5 - 84*o**4 - 356*o**3 -