31)*(l - 2)**3/2
Factor 3*u**3/5 + 33*u**2 + 1212*u/5 - 276.
3*(u - 1)*(u + 10)*(u + 46)/5
Let -2*y**4/3 - 8*y**3/3 - 2*y**2/3 + 4*y = 0. Calculate y.
-3, -2, 0, 1
Let 2*u**2/11 - 126*u/11 - 1296/11 = 0. What is u?
-9, 72
Factor -87*b**3/5 - 264*b**2/5 + 420*b - 2448/5.
-3*(b - 2)**2*(29*b + 204)/5
Factor 2*u**2 + 56*u.
2*u*(u + 28)
Factor -4*g**3 - 376*g**2 + 1964*g - 1584.
-4*(g - 4)*(g - 1)*(g + 99)
Determine b, given that -4*b**5 + 2627*b**4/5 - 114446*b**3/5 + 325688*b**2 + 1095776*b/5 + 170368/5 = 0.
-2/5, -1/4, 44
Factor w**2/6 + 10*w/3 + 91/6.
(w + 7)*(w + 13)/6
Factor 2*v**2/11 + 60*v/11 - 128/11.
2*(v - 2)*(v + 32)/11
Factor -5*t**3 - 95*t**2 + 205*t - 105.
-5*(t - 1)**2*(t + 21)
Factor n**2/4 - 15*n/2 + 225/4.
(n - 15)**2/4
Factor 2*m**4/5 + 32*m**3/5 + 10*m**2 - 84*m/5.
2*m*(m - 1)*(m + 3)*(m + 14)/5
Factor k**3 - 26*k**2 - 29*k + 54.
(k - 27)*(k - 1)*(k + 2)
Let -4*h**3 - 3840*h**2 = 0. What is h?
-960, 0
Factor z**2/2 + 2242*z + 4483/2.
(z + 1)*(z + 4483)/2
Suppose -27*z**4/5 - 102*z**3/5 + 159*z**2/5 - 6*z = 0. What is z?
-5, 0, 2/9, 1
Determine c so that 64*c**5 - 328*c**4 - 478*c**3 + 862*c**2 - 48*c - 72 = 0.
-2, -1/4, 3/8, 1, 6
Factor 5*j**5 + 35*j**4 - 40*j**3.
5*j**3*(j - 1)*(j + 8)
Suppose 2*w**2/9 + 160*w/9 + 250/3 = 0. What is w?
-75, -5
Factor -w**4/9 + 19*w**3/9 + 1216*w**2/9 + 1196*w/9.
-w*(w - 46)*(w + 1)*(w + 26)/9
Solve i**4 - 6*i**3 - 124*i**2 + 774*i + 891 = 0.
-11, -1, 9
Factor -4*n**2 - 96*n - 432.
-4*(n + 6)*(n + 18)
Let 1368*i**3 - 2396*i**2 - 672*i - 16 = 0. Calculate i.
-2/9, -1/38, 2
Factor b**3 - 84*b**2 - 85*b.
b*(b - 85)*(b + 1)
Find q such that -13*q**2/6 - 41*q/6 - 1 = 0.
-3, -2/13
Suppose 2*l**4/5 - 372*l**3/5 + 17298*l**2/5 = 0. What is l?
0, 93
Solve -2*v**5 + 50*v**4 - 442*v**3 + 1678*v**2 - 2724*v + 1440 = 0 for v.
1, 3, 8, 10
Factor -2*q**2/11 - 56*q/11.
-2*q*(q + 28)/11
Determine r, given that -14*r**4 + 738*r**3 + 968*r**2 + 216*r = 0.
-1, -2/7, 0, 54
Suppose -5*x**3 + 72*x**2 - 148*x + 48 = 0. Calculate x.
2/5, 2, 12
Let -2*s**2 - 32*s - 120 = 0. What is s?
-10, -6
Solve 45*l**5 + 300*l**4 + 695*l**3 + 680*l**2 + 240*l = 0 for l.
-3, -4/3, -1, 0
Find s, given that 5*s**4/6 + 5*s**3/6 - 5*s**2/6 - 5*s/6 = 0.
-1, 0, 1
Factor 10*j**3/7 + 88*j**2/7 - 30*j/7 - 108/7.
2*(j + 1)*(j + 9)*(5*j - 6)/7
Factor 2*g**4 - 56*g**3 - 60*g**2 + 56*g + 58.
2*(g - 29)*(g - 1)*(g + 1)**2
Suppose -y**2/3 + 17*y - 48 = 0. Calculate y.
3, 48
Factor 5*o**2/3 - 3176*o - 3812/3.
(o - 1906)*(5*o + 2)/3
Determine x, given that 2*x**2 + 34*x = 0.
-17, 0
Find m, given that 4*m**5 - 324*m**4 + 316*m**3 + 324*m**2 - 320*m = 0.
-1, 0, 1, 80
Let 2*w**4/13 - 372*w**3/13 + 368*w**2/13 + 372*w/13 - 370/13 = 0. Calculate w.
-1, 1, 185
Factor 2*t**2/13 - 2*t/13 - 40/13.
2*(t - 5)*(t + 4)/13
Factor -5*a**3 - 70*a**2 + 475*a.
-5*a*(a - 5)*(a + 19)
Factor -8*t**4/5 + 2*t**3 - 2*t**2/5.
-2*t**2*(t - 1)*(4*t - 1)/5
Factor -g**3 - 457*g**2 - 52440*g - 51984.
-(g + 1)*(g + 228)**2
Factor 3*l**4/4 + 12*l**3 + 111*l**2/2 + 78*l + 135/4.
3*(l + 1)**2*(l + 5)*(l + 9)/4
Factor 10*p**5/17 - 32*p**4/17 + 36*p**3/17 - 16*p**2/17 + 2*p/17.
2*p*(p - 1)**3*(5*p - 1)/17
Factor -3*p**2 - 960*p + 1932.
-3*(p - 2)*(p + 322)
Factor 2*g**4/11 + 6*g**3/11 + 6*g**2/11 + 2*g/11.
2*g*(g + 1)**3/11
Factor 14*t**3 - 354*t**2 + 1276*t - 336.
2*(t - 21)*(t - 4)*(7*t - 2)
Factor -4*j**4 - 52*j**3 + 696*j**2 - 2048*j + 1408.
-4*(j - 4)**2*(j - 1)*(j + 22)
Suppose 5*i**5 - 45*i**4 - 25*i**3 + 525*i**2 + 920*i + 420 = 0. What is i?
-2, -1, 6, 7
Suppose 5*w**5 - 380*w**4 - 400*w**3 + 1130*w**2 + 1915*w + 770 = 0. Calculate w.
-1, 2, 77
Suppose -2*z**5 + 27*z**4 - 8*z**3 - 63*z**2 - 26*z = 0. What is z?
-1, -1/2, 0, 2, 13
Determine a, given that 2*a**4 - 14*a**3 - 146*a**2 + 686*a - 528 = 0.
-8, 1, 3, 11
Solve -d**2/12 + 19*d/12 + 5/3 = 0.
-1, 20
Suppose -d**4/4 + 23*d**3/4 + 79*d**2/4 - 23*d/4 - 39/2 = 0. What is d?
-3, -1, 1, 26
Factor y**3/2 + 285*y**2/2 + 27075*y/2 + 857375/2.
(y + 95)**3/2
Factor -6*u**2 - 3212*u + 2144.
-2*(u + 536)*(3*u - 2)
Factor 2*i**2 - 6*i - 260.
2*(i - 13)*(i + 10)
Solve j**3/3 + 7*j**2/3 - 28*j/3 + 20/3 = 0.
-10, 1, 2
Factor -14*z**4/11 - 16*z**3/11 + 10*z**2/11 + 12*z/11.
-2*z*(z + 1)**2*(7*z - 6)/11
Suppose a**3 + 6*a**2 + 8*a = 0. Calculate a.
-4, -2, 0
Factor 15*l**2 - 445*l - 150.
5*(l - 30)*(3*l + 1)
Solve -16*o**4/7 - 100*o**3/7 - 172*o**2/7 + 144/7 = 0 for o.
-3, -2, 3/4
Factor -2*m**4/7 + 10*m**3/7 + 2*m**2/7 - 10*m/7.
-2*m*(m - 5)*(m - 1)*(m + 1)/7
Solve 5*o**4 - 505*o**3 - 1545*o**2 - 1555*o - 520 = 0.
-1, 104
Determine d, given that -d**4/2 + 6*d**3 - 17*d**2/2 - 15*d = 0.
-1, 0, 3, 10
Let -l**3 + 537*l**2 - 96123*l + 5735339 = 0. What is l?
179
Factor 2*l**3/3 - 2*l**2 - 32*l/3 + 32.
2*(l - 4)*(l - 3)*(l + 4)/3
Determine x so that x**3/2 + 11*x**2/2 - 6*x = 0.
-12, 0, 1
Factor 82*i**2 - 88*i + 6.
2*(i - 1)*(41*i - 3)
Suppose 5*p**4 + 30*p**3 + 45*p**2 + 20*p = 0. What is p?
-4, -1, 0
Factor 2*o**5/7 + 12*o**4/7 - 80*o**3/7.
2*o**3*(o - 4)*(o + 10)/7
Find t, given that -2*t**4 + t**3 + 926*t**2 - 1387*t + 462 = 0.
-22, 1/2, 1, 21
Find f such that f**4/4 - 33*f**3/2 + 873*f**2/4 + 1782*f + 2916 = 0.
-3, 36
Determine w so that 10*w**3 + 386*w**2 - 556*w + 160 = 0.
-40, 2/5, 1
Factor z**3/3 - 2*z**2 - 7*z/3.
z*(z - 7)*(z + 1)/3
Factor -4*x**4 + 12*x**3 + 4*x**2 - 12*x.
-4*x*(x - 3)*(x - 1)*(x + 1)
Determine m so that 5*m**5 - 10*m**4 - 1260*m**3 - 9720*m**2 - 21600*m = 0.
-6, 0, 20
Solve 5*x**4 + 230*x**3 - 475*x**2 + 240*x = 0.
-48, 0, 1
Factor a**4/4 + 549*a**3/4 + 546*a**2 + 545*a.
a*(a + 2)**2*(a + 545)/4
Let 4*d**3 + 516*d**2 + 22188*d + 318028 = 0. What is d?
-43
Solve -20*p**5 + 895*p**4/3 + 25*p**3 = 0.
-1/12, 0, 15
Let 2*j**3/13 + 256*j**2/13 + 998*j/13 + 744/13 = 0. What is j?
-124, -3, -1
Suppose 4*y**4 - 140*y**3 - 300*y**2 + 140*y + 296 = 0. What is y?
-2, -1, 1, 37
Determine i so that i**2/4 + 3*i/4 - 5/2 = 0.
-5, 2
Factor 3*s**3 + 36*s**2 + 33*s.
3*s*(s + 1)*(s + 11)
Let -s**5 + 10*s**4 - 31*s**3 + 30*s**2 = 0. What is s?
0, 2, 3, 5
Suppose 4*q**3 + 6*q**2 - 4*q = 0. What is q?
-2, 0, 1/2
Solve -b**3 + 38*b**2 - 361*b = 0.
0, 19
Solve 5*b**3 - 5*b**2 - 100*b = 0.
-4, 0, 5
Factor 21*y**3/4 + 39*y**2/8 - 3*y/8.
3*y*(y + 1)*(14*y - 1)/8
Factor 2*k**5/15 + 2*k**4/15 - 16*k**3/15 - 8*k**2/5.
2*k**2*(k - 3)*(k + 2)**2/15
Factor -k**3/2 + 7*k**2/2.
-k**2*(k - 7)/2
Suppose -j**5/2 + 5*j**4 + 3*j**3 - 88*j**2 - 133*j/2 + 147 = 0. Calculate j.
-3, -2, 1, 7
Determine s so that 5*s**3 + 735*s**2 + 25875*s - 84375 = 0.
-75, 3
Determine u so that 2*u**2 - 110*u - 348 = 0.
-3, 58
Let 4*b**4 + 24*b**3 = 0. Calculate b.
-6, 0
Let a**4 + 21*a**3 - 3*a**2 - 65*a - 42 = 0. Calculate a.
-21, -1, 2
Factor -2*m**3/5 + 2*m**2 - 8*m/5.
-2*m*(m - 4)*(m - 1)/5
Determine l, given that l**4/4 + 13*l**3/4 - 7*l**2/2 = 0.
-14, 0, 1
Factor w**2 - 14*w + 13.
(w - 13)*(w - 1)
Factor 4*p**2/5 - 12*p/5.
4*p*(p - 3)/5
Find d, given that 2*d**2 + 42*d = 0.
-21, 0
Suppose 3*x**5/2 + 150*x**4 + 8355*x**3/2 + 21585*x**2 + 40890*x + 26508 = 0. What is x?
-47, -2
Factor -867*g**4/2 - 5457*g**3/2 + 2088*g**2 - 378*g.
-3*g*(g + 7)*(17*g - 6)**2/2
Factor h**5 - 20*h**4 + 123*h**3 - 180*h**2 - 324*h.
h*(h - 9)*(h - 6)**2*(h + 1)
What is w in 36*w**4 - 64*w**3 + 20*w**2 + 8*w = 0?
-2/9, 0, 1
Find t, given that t**4/5 - t**2/5 = 0.
-1, 0, 1
Factor -15*p**4 + 33*p**3 + 6*p**2 - 24*p.
-3*p*(p - 2)*(p - 1)*(5*p + 4)
Factor -2*m**3 - 889*m**2 - 99012*m - 49284.
-(m + 222)**2*(2*m + 1)
Find b, given that 2*b**4/3 - 6*b**3 + 14*b**2/3 + 6*b - 16/3 = 0.
-1, 1, 8
Factor -3*x**2 + 1389*x - 6870.
-3*(x - 458)*(x - 5)
Determine y, given that 2*y**4/13 - 2*y**3/13 - 4*y**2/13 = 0.
-1, 0, 2
Factor k**3 + 15*k**2 - k - 15.
(k - 1)*(k + 1)*(k + 15)
Solve -20*k**2 + 1622*k - 162 = 0.
1/10, 81
Find a, given that 18*a**5/13 - 294*a**4/13 - 562*a**3/13 + 374*a**2/13 + 392*a/13 + 72/13 = 0.
-2, -1/3, 1, 18
Determine g so that -6*g**3 - 1622*g**2 + 2724*g + 1088 = 0.
-272, -1/3, 2
Let -534*u**2/5 - 106*u + 4/5 = 0. Calculate u.
-1, 2/267
Factor 2*g**2 - 128*g.
2*g*(g - 64)
Let -2*q**5/3 + 2*q**4/3 + 10*q**3/3 - 10*q**2/3 - 8*q/3 + 8/3 = 0. What is q?
-2, -1, 1, 2
Factor -3*v**4 - 18*v**3 - 39*v**2 - 36*v - 12.
-3*(v + 1)**2*(v + 2)**2
Factor -3*d**2/5 + 12*d + 567/5.
-3*(d - 27