*u**2/5 + 14*u/5 + 156/5 = 0 for u.
-6, 13
Factor 4*n**3 - 92*n**2 - 96*n.
4*n*(n - 24)*(n + 1)
Determine a so that 3*a**4/8 + 9*a**3/2 - 12*a**2 - 18*a + 42 = 0.
-14, -2, 2
Find t, given that -2*t**5/5 - 16*t**4/5 + 38*t**3/5 - 4*t**2 = 0.
-10, 0, 1
Factor 98*c**2/9 + 22*c + 4/9.
2*(c + 2)*(49*c + 1)/9
Find t, given that -3*t**3 - 33*t**2 - 78*t - 48 = 0.
-8, -2, -1
Find q such that 5*q**4/2 + 25*q**3/2 + 5*q**2 - 20*q = 0.
-4, -2, 0, 1
Factor -3*x**3/5 + 234*x**2/5 - 456*x/5.
-3*x*(x - 76)*(x - 2)/5
Let -4*r**4/5 = 0. Calculate r.
0
Factor -x**3/3 + 2*x**2/3 + x.
-x*(x - 3)*(x + 1)/3
What is p in -5*p**5 + 20*p**3 = 0?
-2, 0, 2
What is p in -2*p**5/7 + 1990*p**4/7 - 494012*p**3/7 - 499992*p**2/7 + 992016*p/7 = 0?
-2, 0, 1, 498
Factor -2*r**2/7 + 2902*r/7.
-2*r*(r - 1451)/7
Factor -3*r**3 - 108*r**2 - 1296*r - 5184.
-3*(r + 12)**3
Suppose -2*p**5/9 + 6020*p**4/9 - 7248080*p**3/9 + 4363344160*p**2/9 - 1313366592160*p/9 + 158129337696064/9 = 0. Calculate p.
602
Let -12*l**5 + 92*l**4 + 292*l**3 - 3180*l**2 + 1400*l + 16000 = 0. What is l?
-16/3, -2, 5
Solve -2*k**2/7 + 6*k/7 + 80/7 = 0.
-5, 8
Determine z so that 5*z**4 - 50*z**3 + 65*z**2 + 120*z = 0.
-1, 0, 3, 8
Find g, given that -g**5 + 13*g**3 - 36*g = 0.
-3, -2, 0, 2, 3
Factor 3*n**4/2 + 21*n**3 - 3*n**2/2 - 21*n.
3*n*(n - 1)*(n + 1)*(n + 14)/2
Find x such that -x**5 + 75*x**4 - 1843*x**3 + 15225*x**2 - 13456*x = 0.
0, 1, 16, 29
Factor 4*q**4 - 44*q**3 + 132*q**2 - 36*q - 216.
4*(q - 6)*(q - 3)**2*(q + 1)
Factor 3*d**2/8 + 19359*d/4 + 124923627/8.
3*(d + 6453)**2/8
Determine k so that 3*k**3 - 897*k**2 - 3624*k - 3636 = 0.
-2, 303
Solve 3*d**5 - 39*d**4 + 132*d**3 - 96*d**2 = 0 for d.
0, 1, 4, 8
Solve -4*t**3 + 52*t**2 + 424*t + 608 = 0 for t.
-4, -2, 19
Let l**2/9 - l/9 = 0. What is l?
0, 1
Factor b**5/3 - b**4/3 - 74*b**3/3 - 114*b**2 - 189*b - 99.
(b - 11)*(b + 1)*(b + 3)**3/3
Factor 2*r**2/11 + 6*r/11 + 4/11.
2*(r + 1)*(r + 2)/11
Factor 4*m**5 - 156*m**4 - 672*m**3 - 688*m**2.
4*m**2*(m - 43)*(m + 2)**2
Suppose -29*q**3 - 114*q**2 - 79*q + 6 = 0. Calculate q.
-3, -1, 2/29
Suppose 29*v**4/6 - 263*v**3/6 - 11*v**2/6 + 263*v/6 - 3 = 0. Calculate v.
-1, 2/29, 1, 9
Determine r so that 5*r**5 + 25*r**4 - 105*r**3 + 115*r**2 - 40*r = 0.
-8, 0, 1
Factor -2*h**5/5 - 32*h**4/5 - 156*h**3/5 - 224*h**2/5 - 98*h/5.
-2*h*(h + 1)**2*(h + 7)**2/5
Factor z**3/2 - 11*z**2.
z**2*(z - 22)/2
Factor f**2/6 - 113*f/2 - 341/3.
(f - 341)*(f + 2)/6
Factor -25*o**3/2 + 105*o**2/2 - 49*o + 12.
-(o - 3)*(5*o - 4)*(5*o - 2)/2
Find s, given that -5*s**2 - 2375*s - 2370 = 0.
-474, -1
Let -w**4 - 40*w**3/3 - 157*w**2/3 - 52*w - 12 = 0. What is w?
-6, -1, -1/3
Determine x, given that -9*x**5 + 15*x**4 + 30*x**3 - 60*x**2 + 24*x = 0.
-2, 0, 2/3, 1, 2
Determine j, given that 5*j**5 + 65*j**4 + 270*j**3 + 470*j**2 + 365*j + 105 = 0.
-7, -3, -1
Let 2*j**3 + 64*j**2 + 374*j + 600 = 0. What is j?
-25, -4, -3
Find j such that 5*j**5 - 160*j**4 + 470*j**3 + 2420*j**2 + 2765*j + 980 = 0.
-1, 7, 28
Factor 2*t**2 + 24*t - 216.
2*(t - 6)*(t + 18)
Factor 25*y**3 - 70*y**2 - 111*y - 36.
(y - 4)*(5*y + 3)**2
What is w in -18*w**5 - 68*w**4 + 16*w**3 = 0?
-4, 0, 2/9
Find m such that 7*m**2/4 - 67*m/4 - 15/2 = 0.
-3/7, 10
Factor 2*f**5 + 14*f**4 + 20*f**3 - 4*f**2 - 22*f - 10.
2*(f - 1)*(f + 1)**3*(f + 5)
Factor n**2/9 - 92*n/9 + 2116/9.
(n - 46)**2/9
Factor -3*c**3 - 6*c**2 + 3*c + 6.
-3*(c - 1)*(c + 1)*(c + 2)
Factor 3*v**4 - 72*v**3 + 495*v**2 - 726*v.
3*v*(v - 11)**2*(v - 2)
Factor z**4 + 5*z**3 - 11*z**2 - 33*z - 18.
(z - 3)*(z + 1)**2*(z + 6)
Find o, given that -2*o**2 + 1628*o = 0.
0, 814
Find d such that -3*d**2 + 24*d + 195 = 0.
-5, 13
Factor -3*p**4 + 3*p**3 + 69*p**2 + 117*p + 54.
-3*(p - 6)*(p + 1)**2*(p + 3)
Factor 2*f**2 - 32*f + 56.
2*(f - 14)*(f - 2)
Factor t**2 + 9482*t + 22477081.
(t + 4741)**2
Factor 16*u**4 - 80*u**3 + 68*u**2 - 16*u.
4*u*(u - 4)*(2*u - 1)**2
Determine s, given that 48*s**4/7 - 264*s**3/7 + 411*s**2/7 - 159*s/7 + 18/7 = 0.
1/4, 2, 3
Factor v**3 - 449*v**2 + 1784*v - 1780.
(v - 445)*(v - 2)**2
Factor 2*j**2 + 260*j + 258.
2*(j + 1)*(j + 129)
Solve -6*g**5/7 + 8*g**4/7 - 2*g**3/7 = 0.
0, 1/3, 1
Factor -f**3/6 + 181*f**2/3.
-f**2*(f - 362)/6
Let 35*k**2 - 1060*k + 300 = 0. What is k?
2/7, 30
Factor -c**5/3 - 4*c**4/3 - c**3.
-c**3*(c + 1)*(c + 3)/3
Factor -13*f**2 + 23*f - 10.
-(f - 1)*(13*f - 10)
Let -2*l**5 + 2*l**4 = 0. Calculate l.
0, 1
Factor -g**2 + 13*g + 558.
-(g - 31)*(g + 18)
Find d such that 2*d**5/3 - 4*d**4 - 58*d**3/3 + 4*d**2 + 200*d/3 + 48 = 0.
-2, -1, 2, 9
Determine p so that -4*p**5/5 - 68*p**4/5 - 153*p**3/5 + 206*p**2/5 - 56*p/5 = 0.
-14, -4, 0, 1/2
Factor -4*l**3 - 4*l**2.
-4*l**2*(l + 1)
Factor -5*t**4 + 4890*t**3 - 1200485*t**2 + 2386320*t - 1190720.
-5*(t - 488)**2*(t - 1)**2
Factor -5*x**2/3 + 468*x + 281/3.
-(x - 281)*(5*x + 1)/3
Factor 882*z**3 - 4200*z**2 + 5000*z.
2*z*(21*z - 50)**2
Factor 5*q**3 - 445*q**2 + 4800*q - 13860.
5*(q - 77)*(q - 6)**2
Determine t, given that -4*t**5/9 + 128*t**4/9 + 4*t**3/9 - 128*t**2/9 = 0.
-1, 0, 1, 32
Determine v so that -5*v**4 + 75*v**3 + 260*v**2 + 180*v = 0.
-2, -1, 0, 18
Factor -2*o**4/9 + 4*o**3 + 88*o**2/3 + 560*o/9 + 128/3.
-2*(o - 24)*(o + 2)**3/9
Determine s, given that -5*s**3 + 1310*s**2 + 5300*s + 5320 = 0.
-2, 266
Find g, given that 3*g**2 - 12*g + 9 = 0.
1, 3
Factor 2*j**3 - 6*j**2 - 2*j + 6.
2*(j - 3)*(j - 1)*(j + 1)
Factor l**3/6 - 23*l**2/6 - 29*l.
l*(l - 29)*(l + 6)/6
Find n such that 7*n**3/9 + 103*n**2/9 + 68*n/9 - 28/9 = 0.
-14, -1, 2/7
Factor p**4/2 + 15*p**3 + 132*p**2 + 464*p + 576.
(p + 4)**3*(p + 18)/2
Factor -v**3/2 + 20*v**2 + 1400*v + 16000.
-(v - 80)*(v + 20)**2/2
Factor -5*b**2 + 1215*b.
-5*b*(b - 243)
Factor 2*y**5 - 10*y**4 + 8*y**3.
2*y**3*(y - 4)*(y - 1)
Factor 614*g**2 + 3688*g + 24.
2*(g + 6)*(307*g + 2)
Factor -2*m**3/9 + 26*m**2/9 + 128*m/9 + 136/9.
-2*(m - 17)*(m + 2)**2/9
Solve 4*w**5 - 20*w**4 + 20*w**3 + 20*w**2 - 24*w = 0 for w.
-1, 0, 1, 2, 3
Factor -2*p**5/7 + 24*p**4/7 + 170*p**3/7.
-2*p**3*(p - 17)*(p + 5)/7
Suppose -5*w**3 + 615*w**2 + 4550*w = 0. Calculate w.
-7, 0, 130
Determine k so that 2*k**2 - 16*k - 210 = 0.
-7, 15
Determine p, given that -3*p**2/7 + 108*p - 6804 = 0.
126
Let k**2/4 - 261*k/2 + 68121/4 = 0. What is k?
261
Factor 5*s**4 + 905*s**3 + 895*s**2 - 905*s - 900.
5*(s - 1)*(s + 1)**2*(s + 180)
Find u such that 125*u**2 + 9300*u + 172980 = 0.
-186/5
Solve -21*p**4 + 570*p**3 + 8991*p**2 + 28188*p - 4212 = 0.
-6, 1/7, 39
Factor -d**4 + 17*d**3 + 153*d**2 - 353*d + 184.
-(d - 23)*(d - 1)**2*(d + 8)
Factor 9*f**5 + 48*f**4 + 96*f**3 + 90*f**2 + 39*f + 6.
3*(f + 1)**3*(f + 2)*(3*f + 1)
Factor -3*s**5 - 36*s**4 + 48*s**3 + 102*s**2 - 189*s + 78.
-3*(s - 1)**3*(s + 2)*(s + 13)
Let q**3 - 616*q**2 + 94864*q = 0. What is q?
0, 308
Find k, given that 2*k**5/3 - 16*k**4/3 - 112*k**3/3 + 572*k**2/3 - 754*k/3 + 308/3 = 0.
-7, 1, 2, 11
Factor -15*d**2/7 - 72*d/7 + 384/7.
-3*(d + 8)*(5*d - 16)/7
Solve 4*i**2 - 364*i - 3168 = 0.
-8, 99
Solve -10*z**4/11 + 102*z**3/11 - 300*z**2/11 + 296*z/11 - 48/11 = 0 for z.
1/5, 2, 6
Factor k**4/4 + 17*k**3/4 + 63*k**2/4 - 81*k/4.
k*(k - 1)*(k + 9)**2/4
Suppose -4*g**2 + 2184*g - 6516 = 0. Calculate g.
3, 543
Factor b**2/2 - 937*b/2 + 935.
(b - 935)*(b - 2)/2
Factor -4*t**2 - 4088*t - 1044484.
-4*(t + 511)**2
Solve -2*t**4/9 + 10*t**3 + 62*t**2/3 + 94*t/9 = 0 for t.
-1, 0, 47
Suppose 2*x**2/17 - 760*x/17 - 762/17 = 0. What is x?
-1, 381
Factor -n**4/4 - 13*n**3/4 + 41*n**2/2 - 35*n + 18.
-(n - 2)**2*(n - 1)*(n + 18)/4
Determine f, given that 15*f**5/2 - 49*f**4 + 53*f**3 + 34*f**2 - 121*f/2 + 15 = 0.
-1, 1/3, 1, 6/5, 5
Let 6*m**4 - 224*m**3 + 74*m**2 = 0. What is m?
0, 1/3, 37
Suppose -3*z**2 + 13476*z - 15133548 = 0. Calculate z.
2246
Suppose -2*u**3/13 - 18*u**2/13 + 20*u/13 = 0. Calculate u.
-10, 0, 1
Factor 2*c**3 + 6*c**2 - 8.
2*(c - 1)*(c + 2)**2
Suppose 3*v**4/7 + 45*v**3/7 + 30*v**2/7 - 180*v/7 - 24 = 0. Calculate v.
-14, -2, -1, 2
Solve 576*k**2 - 96*k + 4 = 0.
1/12
Factor 4*s**3 + 252*s**2 - 1056*s + 1072.
4*(s - 2)**2*(s + 67)
Factor -q**3/4 + 25*q**2/4 + q/4 - 25/4.
-(q - 25)*(q - 1)*(q + 1)/4
Suppose 2*m**3/13 + 964*m**2/13 + 116162*m/13 = 0. Calculate m.
-241, 0
Find y such that 2*y**3/5 + 210*y**2 - 8*y/5 - 840 = 0.
-525, -2, 2
Factor 5