72.
-3*(n - 124)*(n + 1)*(3*n + 1)
Solve -v**2/11 + 204*v - 114444 = 0 for v.
1122
Factor -f**3/10 - 9*f**2/10 + 51*f/5 - 16.
-(f - 5)*(f - 2)*(f + 16)/10
Suppose 3*b**2/8 - 183*b/8 + 45/2 = 0. Calculate b.
1, 60
Let 964*a**3/5 + 32*a**2/5 - 964*a/5 - 32/5 = 0. What is a?
-1, -8/241, 1
Solve -y**3 + 918*y**2 - 280908*y + 28652616 = 0.
306
Determine m so that 5*m**5 - 15*m**4 - 5*m**3 + 15*m**2 = 0.
-1, 0, 1, 3
Factor 4*d**2 - 372*d + 728.
4*(d - 91)*(d - 2)
Factor -2*k**3 - 18*k**2 + 2*k + 18.
-2*(k - 1)*(k + 1)*(k + 9)
Solve 3*t**2 - 129*t + 468 = 0.
4, 39
Let 2*v**4/11 + 10*v**3/11 + 10*v**2/11 - 10*v/11 - 12/11 = 0. What is v?
-3, -2, -1, 1
Let 5*u**2 - 50*u + 80 = 0. What is u?
2, 8
Find j such that -4*j**5 - 36*j**4 + 52*j**3 + 548*j**2 - 1344*j + 784 = 0.
-7, 1, 2
Factor -h**2/3 + 11*h/3 - 8.
-(h - 8)*(h - 3)/3
Factor f**3/7 + 33*f**2 + 13224*f/7 - 13456/7.
(f - 1)*(f + 116)**2/7
Solve s**4/2 - s**2/2 = 0.
-1, 0, 1
Factor -2*i**2/5 - 14*i/5.
-2*i*(i + 7)/5
What is i in -2*i**2/7 + 6*i/7 + 8/7 = 0?
-1, 4
Solve -b**4/9 + 7*b**3/3 + 5*b**2 + 23*b/9 = 0 for b.
-1, 0, 23
Factor -2*x**2/5 + 604*x/5 - 45602/5.
-2*(x - 151)**2/5
Solve 4*q**2 + 5416*q + 5412 = 0.
-1353, -1
Factor s**3/3 - 29*s**2/3 - 202*s/3 - 280/3.
(s - 35)*(s + 2)*(s + 4)/3
Solve -p**2/3 - 7*p + 22/3 = 0.
-22, 1
Let -2*f**3 - 10*f**2 + 64*f - 72 = 0. Calculate f.
-9, 2
Determine g, given that 4*g**3/3 + 3*g**2 + 2*g + 1/3 = 0.
-1, -1/4
What is f in -2*f**2/3 + 68*f/3 - 22 = 0?
1, 33
Find j such that j**2/4 - 12*j - 153/4 = 0.
-3, 51
Factor -3*r**2/8 + 429*r/8 + 435/4.
-3*(r - 145)*(r + 2)/8
Factor n**2/3 - 67*n/3 + 310/3.
(n - 62)*(n - 5)/3
Solve j**2/3 + 7*j - 54 = 0 for j.
-27, 6
Find v, given that -8*v**3/15 + 232*v**2/15 - 374*v/5 - 2904/5 = 0.
-4, 33/2
Factor 3*r**3 - 519*r**2 + 4965*r - 12225.
3*(r - 163)*(r - 5)**2
Factor h**5/7 - h**4 + 18*h**3/7 - 22*h**2/7 + 13*h/7 - 3/7.
(h - 3)*(h - 1)**4/7
Solve 2*g**2/11 - 252*g - 2774/11 = 0 for g.
-1, 1387
Factor i**3 - 5*i**2 + 4*i.
i*(i - 4)*(i - 1)
Suppose 44*l**4 + 160*l**3 - 164*l**2 - 328*l + 288 = 0. What is l?
-4, -18/11, 1
Suppose -i**2/3 - 383*i/3 - 1516/3 = 0. What is i?
-379, -4
Factor -2*l**2/5 + 92*l - 5290.
-2*(l - 115)**2/5
Factor m**5/2 - 2*m**4 + 3*m**3/2 + 2*m**2 - 2*m.
m*(m - 2)**2*(m - 1)*(m + 1)/2
Find x, given that -2*x**3 + 28*x**2 - 50*x + 24 = 0.
1, 12
Determine x so that 8*x**5/7 + 234*x**4/7 + 1250*x**3/7 + 2370*x**2/7 + 1622*x/7 + 276/7 = 0.
-23, -3, -2, -1, -1/4
Factor 4*x**4 - 352*x**3 + 8088*x**2 - 15136*x + 7396.
4*(x - 43)**2*(x - 1)**2
Suppose 5*p**3 - 10*p**2 - 15*p = 0. Calculate p.
-1, 0, 3
Factor -4*a**2/9 + 392*a/9 + 44.
-4*(a - 99)*(a + 1)/9
What is o in 2*o**4/3 + 40*o**3/3 - 44*o**2 + 136*o/3 - 46/3 = 0?
-23, 1
Let 243*q**4 - 7236*q**3 - 9135*q**2 - 2244*q + 372 = 0. What is q?
-2/3, 1/9, 31
Find d, given that d**4/5 + 12*d**3/5 - 12*d**2/5 - 32*d - 192/5 = 0.
-12, -2, 4
Factor 3*c**3/5 + 9*c**2 + 198*c/5 + 48.
3*(c + 2)*(c + 5)*(c + 8)/5
Solve 2*y**5/7 + 73*y**4/7 - 209*y**3/7 - 538*y**2/7 + 312*y/7 = 0.
-39, -2, 0, 1/2, 4
Find d, given that -18*d**4 + 3588*d**3 - 8306*d**2 + 6312*d - 1576 = 0.
2/3, 1, 197
Factor -r**3/2 + r**2/2 + 85*r/2 + 275/2.
-(r - 11)*(r + 5)**2/2
Suppose -5*t**2 + 830*t - 3240 = 0. What is t?
4, 162
Solve -2*z**3/11 - 2*z**2/11 + 4*z + 80/11 = 0.
-4, -2, 5
Determine k so that 2*k**3/11 - 46*k**2/11 - 100*k/11 = 0.
-2, 0, 25
Factor -2*o**3/17 - 28*o**2/17 + 30*o/17.
-2*o*(o - 1)*(o + 15)/17
Let 2*n**3/7 - 10*n**2 - 148*n/7 = 0. What is n?
-2, 0, 37
Factor t**2/6 + 503*t/6.
t*(t + 503)/6
Factor 3*h**4/8 - 159*h**3/4 + 1092*h**2 - 2028*h.
3*h*(h - 52)**2*(h - 2)/8
Solve 4*y**5 - 60*y**4 + 104*y**3 + 8*y**2 - 108*y + 52 = 0 for y.
-1, 1, 13
Factor -y**2/5 + 222*y/5 - 12321/5.
-(y - 111)**2/5
Let -28*z**3/15 + 242*z**2/15 - 146*z/15 + 16/15 = 0. What is z?
1/7, 1/2, 8
Factor 2*u**5 + 2*u**4 - 14*u**3 - 26*u**2 - 12*u.
2*u*(u - 3)*(u + 1)**2*(u + 2)
Factor -25*a**3 - 1985*a**2 - 790*a.
-5*a*(a + 79)*(5*a + 2)
Find t, given that 2*t**3/3 - 100*t**2/3 + 1426*t/3 - 4232/3 = 0.
4, 23
Factor -v**3/3 - 8*v**2 - 17*v/3 + 46.
-(v - 2)*(v + 3)*(v + 23)/3
Solve -m**5/4 - 3*m**4/4 + 5*m**3/2 = 0 for m.
-5, 0, 2
What is v in 2*v**2/13 + 16*v/13 - 18/13 = 0?
-9, 1
Solve 4*u**4/7 - 272*u**3/7 + 4888*u**2/7 - 8976*u/7 + 4356/7 = 0 for u.
1, 33
Suppose 5*i**2 - 3190*i + 508805 = 0. What is i?
319
Let -q**5 - 5*q**4 + 14*q**3 - 2*q**2 - 13*q + 7 = 0. What is q?
-7, -1, 1
Determine n, given that 2*n**2 - 26*n + 44 = 0.
2, 11
Let 25*m**5 + 1285*m**4 - 7705*m**3 + 15455*m**2 - 12480*m + 3420 = 0. Calculate m.
-57, 3/5, 1, 2
Factor -4*g**2 + 4*g + 24.
-4*(g - 3)*(g + 2)
Let -l**4 - 31*l**3 - 112*l**2 - 108*l = 0. What is l?
-27, -2, 0
Factor -p**3/2 + 221*p**2 - 1319*p/2 + 439.
-(p - 439)*(p - 2)*(p - 1)/2
Suppose -3*o**3 + 3*o**2 + 3*o - 3 = 0. Calculate o.
-1, 1
Factor 50*i**2/19 + 1160*i/19 + 6728/19.
2*(5*i + 58)**2/19
Solve -g**4 - 191*g**3/2 - 141*g**2 + g/2 + 47 = 0 for g.
-94, -1, 1/2
Factor u**5 - 65*u**4 + 1314*u**3 - 6026*u**2 - 43907*u - 36501.
(u - 23)**3*(u + 1)*(u + 3)
Find i such that -3*i**4/5 - 12*i**3/5 + 6*i**2/5 + 36*i/5 - 27/5 = 0.
-3, 1
Suppose 22*z**3 + 30*z**2 + 96*z/11 + 8/11 = 0. What is z?
-1, -2/11
Determine a, given that -9*a**3/7 + 87*a**2/7 - 160*a/7 - 256/7 = 0.
-1, 16/3
What is y in 105*y**5 - 200*y**4 - 125*y**3 + 200*y**2 + 20*y = 0?
-1, -2/21, 0, 1, 2
Suppose 6*a**5/17 + 4*a**4 + 78*a**3/17 - 24*a**2/17 - 40*a/17 = 0. Calculate a.
-10, -1, 0, 2/3
Factor 2*n**4 + 208*n**3 + 7344*n**2 + 92480*n + 157216.
2*(n + 2)*(n + 34)**3
Factor -3*p**2/4 + 6*p - 12.
-3*(p - 4)**2/4
Factor 4*h**3 + 20*h**2 - 52*h + 28.
4*(h - 1)**2*(h + 7)
Factor -3*f**4 + 21*f**2 + 18*f.
-3*f*(f - 3)*(f + 1)*(f + 2)
Factor -12*a**4 - 44*a**3 + 160*a**2 - 48*a.
-4*a*(a - 2)*(a + 6)*(3*a - 1)
Find z, given that -4*z**4 + 36*z**3 + 132*z**2 + 140*z + 48 = 0.
-1, 12
Determine f so that -2*f**3/15 + 38*f**2/15 - 16*f + 168/5 = 0.
6, 7
Suppose -2*k**5/21 + 32*k**4/21 + 26*k**3/7 - 92*k**2/21 - 40*k/3 - 48/7 = 0. Calculate k.
-2, -1, 2, 18
Factor 2*j**2 + 230*j - 232.
2*(j - 1)*(j + 116)
Factor 3*k**2/4 + 21*k/2 + 99/4.
3*(k + 3)*(k + 11)/4
Factor -16*u**2/17 - 2394*u/17 + 900/17.
-2*(u + 150)*(8*u - 3)/17
Factor v**3/4 + 183*v**2/4 - 187*v.
v*(v - 4)*(v + 187)/4
Factor 2*l**3/5 + 224*l**2/5 + 222*l/5.
2*l*(l + 1)*(l + 111)/5
Find s such that 375*s**3 + 1510*s**2 + 1540*s + 40 = 0.
-2, -2/75
Factor -2*b**2 + 64*b/9 - 56/9.
-2*(b - 2)*(9*b - 14)/9
Factor x**2/3 + 277*x - 832/3.
(x - 1)*(x + 832)/3
Suppose 2*u**4/11 + 102*u**3/11 - 226*u**2/11 - 750*u/11 - 424/11 = 0. Calculate u.
-53, -1, 4
Factor 2*n**3/7 - 398*n/7 - 780/7.
2*(n - 15)*(n + 2)*(n + 13)/7
Factor o**4 + 22*o**3 + 20*o**2 - 22*o - 21.
(o - 1)*(o + 1)**2*(o + 21)
Find a, given that a**3/3 + 3*a**2 - a/3 - 3 = 0.
-9, -1, 1
Let 20*g**3 + 105*g**2 - 255*g - 70 = 0. What is g?
-7, -1/4, 2
Factor 4*c**4 + 112*c**3 + 704*c**2 + 1280*c.
4*c*(c + 4)**2*(c + 20)
Solve 2*v**4 + 12*v**3 - 190*v**2 + 456*v - 280 = 0 for v.
-14, 1, 2, 5
Find y such that 3*y**3/4 - 255*y**2/2 - 513*y/4 = 0.
-1, 0, 171
Factor -4*r**5/5 - 24*r**4 + 252*r**3/5 - 128*r**2/5.
-4*r**2*(r - 1)**2*(r + 32)/5
Determine i, given that 10*i**3 - 5625*i**2 - 14115*i - 5650 = 0.
-2, -1/2, 565
Factor -2*n**4/7 - 4*n**3/7 + 38*n**2/7 + 40*n/7.
-2*n*(n - 4)*(n + 1)*(n + 5)/7
Let -2*k**2/3 - 2*k + 12 = 0. Calculate k.
-6, 3
Solve m**5 - m**4 - 27*m**3/4 + m**2 + 17*m/4 - 3/2 = 0.
-2, -1, 1/2, 3
Solve -5*j**2 + 25*j = 0.
0, 5
Solve -v**2/5 + 533*v/5 - 532/5 = 0 for v.
1, 532
Solve -i**3 + 2*i**2 + 9*i - 18 = 0 for i.
-3, 2, 3
Factor 2*d**2/5 - 28*d/5 + 48/5.
2*(d - 12)*(d - 2)/5
Suppose -4*m**5/3 - 112*m**4 - 220*m**3 - 328*m**2/3 = 0. What is m?
-82, -1, 0
Suppose -5*s**3 - 70*s**2 + 75*s = 0. What is s?
-15, 0, 1
Factor 20*r**3 - 100*r**2 - 5*r + 25.
5*(r - 5)*(2*r - 1)*(2*r + 1)
Determine d, given that -2*d**2/11 + 580*d/11 - 42050/11 = 0.
145
Find m, given that 6*m**5 + 32*m**4 + 4*m**3 - 104*m**2 + 38*m + 24 = 0.
-4, -3, -1/3, 1
What is h in 4*h**2/3 + 1840*h/3 + 612 = 0?
-459, -1
Suppose -p**4/4 + 9*p**3/4 - 9*p**2/2 = 0. Calculate p.
0, 3, 6
Factor -a**2/3 + a/3 + 2/3.
-(a - 2)*(a + 1)/3
Find m, given that 3*m**5/4 - 6*m**4 - 45*m**3/4 + 165*m**2/2 + 78*m - 144 = 