)*(5*c - 2)**2
Suppose -11*n**5/2 - n**4/4 + 18*n**3 - 41*n**2/4 - 5*n + 3 = 0. What is n?
-2, -6/11, 1/2, 1
Factor -o**3 + 32*o**2 - 285*o + 450.
-(o - 15)**2*(o - 2)
Factor 2*b**2/13 - 76*b/13 - 160/13.
2*(b - 40)*(b + 2)/13
Factor -z**5 - 79*z**4 - 1810*z**3 - 9792*z**2 - 12960*z.
-z*(z + 2)*(z + 5)*(z + 36)**2
Solve -2*g**5/7 + 44*g**4/7 - 108*g**3/7 - 136*g**2/7 + 430*g/7 - 228/7 = 0.
-2, 1, 3, 19
Find x, given that 5*x**4 + 15*x**3 - 35*x**2 - 75*x + 90 = 0.
-3, 1, 2
Factor 2*t**3/3 + 92*t**2 - 278*t/3.
2*t*(t - 1)*(t + 139)/3
Determine b so that -3*b**2/2 + 90*b - 1350 = 0.
30
Factor -3*c**4 + 66*c**3 + 480*c**2 + 672*c.
-3*c*(c - 28)*(c + 2)*(c + 4)
Factor -4*j**2 + 2384*j - 355216.
-4*(j - 298)**2
Solve -5*w**2 + 15*w + 90 = 0.
-3, 6
Find s, given that -5*s**2 + 8*s + 4 = 0.
-2/5, 2
Factor 3*x**5 - 18*x**4 + 39*x**3 - 36*x**2 + 12*x.
3*x*(x - 2)**2*(x - 1)**2
Factor s**5 + 5*s**4 - 41*s**3 - 45*s**2.
s**2*(s - 5)*(s + 1)*(s + 9)
Factor -3*f**3 - 12*f**2 + 15*f.
-3*f*(f - 1)*(f + 5)
Factor 4*g**2 - 616*g + 23716.
4*(g - 77)**2
Find w, given that 4*w**5 + 68*w**4 + 49*w**3 - 258*w**2 - 288*w = 0.
-16, -3/2, 0, 2
Solve -2*o**4/13 - 10*o**3/13 - 18*o**2/13 - 14*o/13 - 4/13 = 0 for o.
-2, -1
Factor x**5 - 11*x**3 - 18*x**2 - 8*x.
x*(x - 4)*(x + 1)**2*(x + 2)
What is c in 75*c**5/7 - 90*c**4/7 - 69*c**3 + 18*c**2 + 300*c/7 + 72/7 = 0?
-2, -2/5, 1, 3
Let -16*z**5 + 640*z**4 - 6068*z**3 - 6724*z**2 = 0. Calculate z.
-1, 0, 41/2
Factor -l**5/8 - 23*l**4/8.
-l**4*(l + 23)/8
Solve 2*g**5/5 + 2*g**4/5 - 2*g**3/5 - 2*g**2/5 = 0.
-1, 0, 1
Solve -3*y**4 + 45*y**3 - 42*y**2 = 0.
0, 1, 14
Factor -4*l**2/7 - 2304*l/7 - 331776/7.
-4*(l + 288)**2/7
What is n in -2*n**3/9 + 244*n**2/9 - 8120*n/9 + 13456/3 = 0?
6, 58
Let 15*a**5 - 21*a**4 + 6*a**3 = 0. Calculate a.
0, 2/5, 1
Factor -n**3/5 - 17*n**2/5 - 88*n/5 - 144/5.
-(n + 4)**2*(n + 9)/5
Find p such that -p**4/4 - 3583*p**3/2 - 12852213*p**2/4 - 12830723*p - 12823561 = 0.
-3581, -2
Factor -3*o**2/8 - 159*o/2.
-3*o*(o + 212)/8
Factor -65*d**3/3 - 40*d**2/3 + 35*d.
-5*d*(d - 1)*(13*d + 21)/3
Solve q**2 - 10*q + 21 = 0.
3, 7
Let f**2/5 - 51*f/5 + 308/5 = 0. What is f?
7, 44
Let -4*r**3 + 164*r**2 + 176*r - 336 = 0. Calculate r.
-2, 1, 42
Factor f**3/3 + 148*f**2/3 - 604*f/3 + 608/3.
(f - 2)**2*(f + 152)/3
Factor -2*y**5/9 + 20*y**4/9 - 22*y**3/3 + 80*y**2/9 - 32*y/9.
-2*y*(y - 4)**2*(y - 1)**2/9
Let -8*j**5 + 106*j**4 - 210*j**3 + 134*j**2 - 22*j = 0. What is j?
0, 1/4, 1, 11
Factor -5*m**4 + 20*m**2.
-5*m**2*(m - 2)*(m + 2)
Determine r, given that 2*r**3/7 - 216*r**2/7 - 440*r/7 = 0.
-2, 0, 110
Solve -2*o**4/7 - 4*o**3/7 + 30*o**2/7 + 64*o/7 + 32/7 = 0 for o.
-4, -1, 4
Factor -3*x**4/2 + 3*x**3 + 39*x**2/2 + 15*x.
-3*x*(x - 5)*(x + 1)*(x + 2)/2
Let 6*h**3/7 - 769*h**2/7 + 24704*h/7 - 4096/7 = 0. Calculate h.
1/6, 64
Determine r so that 20*r**3 - 64*r**2 - 84*r = 0.
-1, 0, 21/5
Factor -m**2/3 + 41*m/3 + 230/3.
-(m - 46)*(m + 5)/3
Suppose -2*n**3 + 16*n**2 - 26*n + 12 = 0. What is n?
1, 6
Solve 4*h**5/7 + 24*h**4/7 - 347*h**3/7 - 1977*h**2/7 + 2224*h/7 - 576/7 = 0.
-8, 1/2, 9
Factor -2*g**2 + 17512*g - 38333768.
-2*(g - 4378)**2
Suppose -20*l**5 + 16*l**4 + 264*l**3 - 448*l**2 + 140*l + 48 = 0. Calculate l.
-4, -1/5, 1, 3
Factor -l**3 - 3082*l**2 - 6161*l - 3080.
-(l + 1)**2*(l + 3080)
Factor 2*g**4 + 192*g**3 - 590*g**2 + 396*g.
2*g*(g - 2)*(g - 1)*(g + 99)
Solve 2*v**2/17 + 422*v/17 + 836/17 = 0.
-209, -2
Let 2*i**3 - 296*i**2 - 8*i + 1184 = 0. Calculate i.
-2, 2, 148
Solve -2*j**5 - 6*j**4 + 98*j**3 - 90*j**2 = 0 for j.
-9, 0, 1, 5
Solve w**3 - 35*w**2 + 286*w = 0.
0, 13, 22
Factor v**2/5 - 10312*v/5 + 26584336/5.
(v - 5156)**2/5
Factor -14*j**2/17 + 450*j/17 + 464/17.
-2*(j + 1)*(7*j - 232)/17
Solve -n**3/3 + 2*n**2/3 = 0 for n.
0, 2
Factor -w**4/7 - w**3 + 17*w**2/7 - 9*w/7.
-w*(w - 1)**2*(w + 9)/7
Determine u so that -5*u**2 + 645*u = 0.
0, 129
Suppose 2*p**5/19 - 1592*p**4/19 + 4764*p**3/19 - 4760*p**2/19 + 1586*p/19 = 0. What is p?
0, 1, 793
Factor 3*q**2 + 15*q.
3*q*(q + 5)
Factor 5*s**3/3 + 70*s**2/3 + 65*s/3.
5*s*(s + 1)*(s + 13)/3
Suppose -k**2/2 + 81*k/2 + 83 = 0. What is k?
-2, 83
Suppose -4*s**2 - 12*s + 40 = 0. What is s?
-5, 2
Let 5*d**2/2 + 13880*d + 19265440 = 0. Calculate d.
-2776
Suppose -4*u**4 + 8*u**3 + 4*u**2 - 8*u = 0. Calculate u.
-1, 0, 1, 2
Factor -j**3 - 12*j**2 - 11*j.
-j*(j + 1)*(j + 11)
Factor -3*n**2/8 - 1137*n/8 + 1149/2.
-3*(n - 4)*(n + 383)/8
Factor -2*g**4 + 6*g**3 + 6*g**2 - 14*g - 12.
-2*(g - 3)*(g - 2)*(g + 1)**2
Determine c, given that -2*c**4/3 + 38*c**2 - 392*c/3 + 120 = 0.
-9, 2, 5
Factor -2*n**3 - 20*n**2 - 34*n - 16.
-2*(n + 1)**2*(n + 8)
Factor 18*u**2/19 + 58*u/19 + 40/19.
2*(u + 1)*(9*u + 20)/19
Factor -3*n**2/5 - 384*n/5 - 12288/5.
-3*(n + 64)**2/5
Factor 3*y**3 + 84*y**2 + 663*y + 1014.
3*(y + 2)*(y + 13)**2
Determine h, given that 4*h**4 + 440*h**3 - 444*h**2 = 0.
-111, 0, 1
Suppose 2*y**5/19 + 2*y**4/19 - 42*y**3/19 - 2*y**2/19 + 40*y/19 = 0. What is y?
-5, -1, 0, 1, 4
Factor -5*a**4 - 705*a**3 - 25885*a**2 - 72795*a - 47610.
-5*(a + 1)*(a + 2)*(a + 69)**2
Determine i so that i**5/3 + 4*i**4/3 - 8*i**3/3 - 14*i**2/3 + 7*i/3 + 10/3 = 0.
-5, -1, 1, 2
Factor -r**2 + 379*r.
-r*(r - 379)
Factor -4*b**3/3 - 80*b**2 + 268*b/3 + 488.
-4*(b - 3)*(b + 2)*(b + 61)/3
Let -2*d**5/7 + 22*d**3/7 + 36*d**2/7 + 16*d/7 = 0. Calculate d.
-2, -1, 0, 4
Factor 3*m**3/2 - 231*m**2/2 + 2280*m - 2166.
3*(m - 38)**2*(m - 1)/2
Suppose 270*i**5 - 2226*i**4 - 1786*i**3 - 446*i**2 - 36*i = 0. Calculate i.
-1/3, -2/9, -1/5, 0, 9
Factor -4*k**2 + 648*k + 652.
-4*(k - 163)*(k + 1)
Solve 2*l**4 - 4*l**3 - 10*l**2 + 12*l = 0 for l.
-2, 0, 1, 3
Factor c**5/5 + 8*c**4/5 + 19*c**3/5 + 12*c**2/5.
c**2*(c + 1)*(c + 3)*(c + 4)/5
Factor 4*c**2 + 6308*c + 12600.
4*(c + 2)*(c + 1575)
Factor -15*r**3 + 78*r**2 + 9*r - 324.
-3*(r - 4)*(r - 3)*(5*r + 9)
Suppose -9*j**4 + 75*j**3 - 180*j - 96 = 0. What is j?
-1, -2/3, 2, 8
Factor -3*l**4/2 - 69*l**3/2 - 33*l**2.
-3*l**2*(l + 1)*(l + 22)/2
Factor -x**2/3 + 11*x + 70/3.
-(x - 35)*(x + 2)/3
Factor -5*t**2/3 + 9655*t/3.
-5*t*(t - 1931)/3
Let k**5/8 - k**4/8 - 9*k**3/4 + 9*k**2/4 + 81*k/8 - 81/8 = 0. What is k?
-3, 1, 3
Determine m so that -2*m**5 - 124*m**4 + 136*m**3 + 636*m**2 + 378*m = 0.
-63, -1, 0, 3
Find i such that 2*i**3/5 + 34*i**2/5 + 158*i/5 + 126/5 = 0.
-9, -7, -1
Find d, given that -6*d**2 + 146*d - 48 = 0.
1/3, 24
Let r**4/2 + 19*r**3/2 + 51*r**2/2 + 49*r/2 + 8 = 0. What is r?
-16, -1
Let -4*s**3 - 92*s**2 - 248*s - 160 = 0. Calculate s.
-20, -2, -1
Let -5*n**3/3 - n**2/3 + 5*n/3 + 1/3 = 0. What is n?
-1, -1/5, 1
Factor 3*w**3 - 51*w**2 + 30*w + 288.
3*(w - 16)*(w - 3)*(w + 2)
Factor 4*t**2 - 2056*t + 2052.
4*(t - 513)*(t - 1)
Factor 5*u**2 + 3150*u + 6280.
5*(u + 2)*(u + 628)
Determine f, given that 209764*f**5 - 1472012*f**4 + 3172124*f**3 - 1942948*f**2 + 33216*f - 144 = 0.
2/229, 1, 3
Factor 2*g**2 + 132*g + 2178.
2*(g + 33)**2
Find s such that -2*s**2 + 122*s = 0.
0, 61
Determine f so that -5*f**5/2 + 185*f**4 - 715*f**3 + 1060*f**2 - 1405*f/2 + 175 = 0.
1, 70
Factor -z**5 - 10*z**4 - 37*z**3 - 64*z**2 - 52*z - 16.
-(z + 1)**2*(z + 2)**2*(z + 4)
Factor 6*h**3 - 22*h**2 + 24*h - 8.
2*(h - 2)*(h - 1)*(3*h - 2)
Suppose 3*h**4 - 9*h**3 - 93*h**2 + 189*h + 270 = 0. What is h?
-5, -1, 3, 6
Factor -9*z**4 - 24*z**3 + 45*z**2 - 12*z.
-3*z*(z - 1)*(z + 4)*(3*z - 1)
Factor 4*b**3 - 372*b**2 + 368*b.
4*b*(b - 92)*(b - 1)
What is o in -o**3/3 + 51*o**2 - 1760*o - 44800/3 = 0?
-7, 80
What is a in 3*a**2 - 267*a + 1020 = 0?
4, 85
Find t, given that 28*t**3 - 720*t**2 + 4524*t + 1352 = 0.
-2/7, 13
Factor -3*l**2 - 27*l + 408.
-3*(l - 8)*(l + 17)
Factor -t**4 - 42*t**3 + 3*t**2 + 128*t + 84.
-(t - 2)*(t + 1)**2*(t + 42)
Solve -7605*y**4 - 29640*y**3 - 19715*y**2 + 2260*y - 60 = 0.
-3, -1, 2/39
Factor -2*i**3 - 102*i**2.
-2*i**2*(i + 51)
Suppose v**4/5 - 393*v**3/5 + 1173*v**2/5 - 1171*v/5 + 78 = 0. Calculate v.
1, 390
Determine i so that 2*i**5 + 99*i**4 + 550*i**3 - 400*i**2 - 552*i + 301 = 0.
-43, -7, -1, 1/2, 1
Factor -6*u**2/7 + 13028*u/7 - 4342/7.
-2*(u - 2171)*(3*u - 1)/7
Factor -2*x**3/23 + 246*x**2/23 - 7920*x/23 + 21600/23.
-2*(x - 60)**2*(x - 3)/23
Solve -2*c**5/7 - 6*c**4/7 + 16*c**3/7 + 24*c**2/7 - 32*c/7 = 0 for c.
-4, -2, 0, 1, 2
Fac